text
stringlengths 481
13.8k
| embedding
sequencelengths 1.02k
1.02k
|
---|---|
We propose a framework for verifiable and compositional reinforcement
learning (RL) in which a collection of RL subsystems, each of which learns to
accomplish a separate subtask, are composed to achieve an overall task. The
framework consists of a high-level model, represented as a parametric Markov
decision process, which is used to plan and analyze compositions of subsystems,
and of the collection of low-level subsystems themselves. The subsystems are
implemented as deep RL agents operating under partial observability. By
defining interfaces between the subsystems, the framework enables automatic
decompositions of task specifications, e.g., reach a target set of states with
a probability of at least 0.95, into individual subtask specifications, i.e.
achieve the subsystem's exit conditions with at least some minimum probability,
given that its entry conditions are met. This in turn allows for the
independent training and testing of the subsystems. We present theoretical
results guaranteeing that if each subsystem learns a policy satisfying its
subtask specification, then their composition is guaranteed to satisfy the
overall task specification. Conversely, if the subtask specifications cannot
all be satisfied by the learned policies, we present a method, formulated as
the problem of finding an optimal set of parameters in the high-level model, to
automatically update the subtask specifications to account for the observed
shortcomings. The result is an iterative procedure for defining subtask
specifications, and for training the subsystems to meet them. Experimental
results demonstrate the presented framework's novel capabilities in
environments with both full and partial observability, discrete and continuous
state and action spaces, as well as deterministic and stochastic dynamics. | [
0.015236821956932545,
-0.02558588981628418,
-0.03190339356660843,
-0.04292577505111694,
0.025569265708327293,
0.016325760632753372,
-0.03743952140212059,
0.032319020479917526,
-0.0533662810921669,
0.020398886874318123,
0.001330000814050436,
-0.015053946524858475,
0.06367378681898117,
-0.023474514484405518,
-0.0041188462637364864,
0.02932651713490486,
-0.03561077266931534,
0.045486025512218475,
-0.04176202416419983,
-0.0036575021222233772,
0.03980027511715889,
0.028245892375707626,
-0.017672386020421982,
0.0407312735915184,
-0.0002627530775498599,
-0.01820438541471958,
0.015710635110735893,
-0.024388888850808144,
-0.12754707038402557,
0.05639203265309334,
0.04761402681469917,
0.013416383415460587,
-0.009692381136119366,
0.03737302124500275,
-0.027647390961647034,
-0.02879451774060726,
0.03704052045941353,
0.004438877571374178,
-0.0023669858928769827,
0.07088904082775116,
-0.036275770515203476,
0.01030750572681427,
-0.04791327938437462,
-0.029991518706083298,
-0.007626723498106003,
-0.016999073326587677,
-0.013524445705115795,
0.012925945222377777,
-0.039334774017333984,
0.04974202811717987,
-0.03145451843738556,
-0.045120276510715485,
0.08425555378198624,
-0.013906820677220821,
-0.02412289008498192,
0.02123013697564602,
0.06038203462958336,
-0.0010447779204696417,
0.04678277671337128,
0.03243539482355118,
0.04591827839612961,
-0.004241455812007189,
-0.06849504262208939,
-0.002375298412516713,
0.03157089278101921,
-0.06417253613471985,
0.025020640343427658,
-0.00881956797093153,
0.06656654179096222,
-0.03215276822447777,
-0.004372377414256334,
0.007635036017745733,
-0.04718177765607834,
0.006313347723335028,
0.04359077662229538,
0.04209452494978905,
0.034812770783901215,
0.002112415386363864,
-0.0005600550211966038,
-0.02766401693224907,
-0.016716446727514267,
0.030490268021821976,
-0.008266786113381386,
0.03647527098655701,
0.041296523064374924,
-0.04827902838587761,
0.03903552517294884,
-0.06417253613471985,
0.02713201567530632,
-0.03050689399242401,
-0.049276530742645264,
-0.022377263754606247,
-0.005756409838795662,
0.024089640006422997,
0.042959026992321014,
0.005166221875697374,
-0.024206014350056648,
-0.0031545956153422594,
-0.015469571575522423,
-0.03737302124500275,
0.018753010779619217,
0.011778819374740124,
-0.031055519357323647,
-0.007227723021060228,
0.009975005872547626,
-0.007526973262429237,
0.019850261509418488,
-0.020714761689305305,
-0.017655760049819946,
0.1026095598936081,
-0.042626526206731796,
-0.006837035529315472,
-0.06969204545021057,
0.07295054197311401,
-0.028212642297148705,
-0.01421438343822956,
-0.026899266988039017,
-0.08046504855155945,
-0.002229829551652074,
-0.03983352333307266,
-0.015743885189294815,
0.016774635761976242,
0.029891768470406532,
-0.012144570238888264,
0.004008705727756023,
0.08086404949426651,
-0.027065515518188477,
-0.014023195952177048,
-0.012751382775604725,
0.052934031933546066,
0.0031421268358826637,
-0.01203650701791048,
-0.053432781249284744,
-0.04724827781319618,
-0.0014962508575990796,
0.02159588783979416,
-0.0022381420712918043,
-0.02322513982653618,
-0.02415614016354084,
0.028495267033576965,
0.013998258858919144,
-0.03650852292776108,
-0.028329016640782356,
0.03491251915693283,
0.05107203125953674,
0.011521131731569767,
0.01870313659310341,
0.08086404949426651,
-0.03424752131104469,
0.010473756119608879,
-0.02648364007472992,
0.09250155836343765,
-0.01938476227223873,
0.053632281720638275,
-0.005743940826505423,
0.02016613632440567,
-0.001967985648661852,
0.05010778084397316,
-0.017057260498404503,
0.01669982261955738,
0.05735628306865692,
-0.03027414344251156,
-0.011670757085084915,
0.07946754992008209,
0.06307528913021088,
-0.001561711891554296,
-0.022144513204693794,
0.013067257590591908,
-0.061412785202264786,
0.04013277590274811,
-0.040631525218486786,
-0.009675756096839905,
0.044787775725126266,
0.03308377042412758,
0.07015754282474518,
0.042593274265527725,
0.023973263800144196,
0.008449661545455456,
-0.056325532495975494,
0.00034808614873327315,
-0.049110278487205505,
0.012610070407390594,
0.04465477541089058,
0.0392017737030983,
0.05566053465008736,
0.061412785202264786,
0.06277603656053543,
-0.043125275522470474,
0.024588389322161674,
-0.06241028755903244,
-0.011629194021224976,
0.07966704666614532,
0.07341604679822922,
0.009243506006896496,
-0.011097193695604801,
-0.05459653213620186,
-0.07002454251050949,
0.03630902245640755,
0.00203760270960629,
-0.0004665393498726189,
0.013233507983386517,
-0.023640764877200127,
0.000634867581538856,
0.014463759027421474,
0.0049542528577148914,
-0.018237635493278503,
-0.008379004895687103,
-0.009351568296551704,
0.04741453006863594,
-0.09117155522108078,
0.004571877885609865,
-0.05532803386449814,
-0.04508702829480171,
-0.04432227835059166,
-0.0290438923984766,
-0.02611789107322693,
-0.03491251915693283,
-0.010856131091713905,
-0.023973263800144196,
-0.0015024852473288774,
-0.02738139219582081,
-0.006595972925424576,
-0.009060630574822426,
0.01881951093673706,
0.04791327938437462,
0.047115277498960495,
0.03285101801156998,
-0.006824566517025232,
0.02359088882803917,
0.03424752131104469,
-0.029725518077611923,
0.02606801502406597,
0.017173634842038155,
-0.008919318206608295,
0.009376505389809608,
-0.030656518414616585,
0.013956695795059204,
0.054164282977581024,
0.04166227579116821,
-0.021496137604117393,
-0.005087253171950579,
-0.03793827444314957,
-0.022294137626886368,
-0.024305764585733414,
0.07195304334163666,
0.02570226602256298,
0.006737285293638706,
0.07980004698038101,
0.010457131080329418,
0.001840180833823979,
-0.025635765865445137,
0.02505389042198658,
0.0017009463626891375,
0.0051329717971384525,
-0.030257517471909523,
0.045685525983572006,
0.03567727282643318,
-0.058353785425424576,
-0.015452946536242962,
-0.0009278833749704063,
0.025436265394091606,
0.024355638772249222,
0.08538605272769928,
0.008553567342460155,
-0.022011512890458107,
-0.007743098307400942,
0.034114520996809006,
0.012593445368111134,
-0.009201942943036556,
0.00849122367799282,
-0.03180364519357681,
-0.026633266359567642,
-0.0360097698867321,
0.012551882304251194,
0.011063944548368454,
-0.04448852688074112,
0.012759694829583168,
-0.00973394326865673,
-0.03491251915693283,
0.07707354426383972,
0.025004014372825623,
-0.020881012082099915,
0.010656631551682949,
-0.006625066511332989,
-0.01820438541471958,
-0.05260153114795685,
-0.005598471965640783,
-0.014364008791744709,
-0.08319155126810074,
0.006446347571909428,
-0.005860316101461649,
0.007747254800051451,
-0.007319160737097263,
-0.015004071407020092,
0.02488764002919197,
0.018586760386824608,
-0.009459630586206913,
-0.060880787670612335,
0.0157605092972517,
-0.006363222375512123,
0.013183632865548134,
-0.005706534720957279,
0.01362419594079256,
-0.009201942943036556,
0.011288382112979889,
0.008595130406320095,
-0.03697402402758598,
-0.015935072675347328,
0.01177050732076168,
-0.008736442774534225,
-0.006022410001605749,
-0.0136075709015131,
-0.04103052616119385,
-0.029592517763376236,
-0.026051390916109085,
0.04448852688074112,
0.04395652562379837,
-0.008836193010210991,
-0.032734643667936325,
0.0012614226434379816,
0.03358251973986626,
0.030207643285393715,
-0.09875255823135376,
0.0325850211083889,
0.010748068802058697,
0.018503636121749878,
0.01061506848782301,
0.01898576132953167,
-0.036442022770643234,
0.02635064162313938,
-0.041496023535728455,
0.023690639063715935,
-0.063873291015625,
-0.0157605092972517,
0.004891909193247557,
-0.04718177765607834,
-0.03201976791024208,
0.00790519267320633,
-0.02294251322746277,
-0.07973355054855347,
0.00492100277915597,
-0.0688275396823883,
0.025319891050457954,
0.008391473442316055,
0.020881012082099915,
-0.048212528228759766,
-0.04591827839612961,
-0.010216068476438522,
-0.007564379367977381,
0.03451352193951607,
0.0007512426236644387,
-0.03634227067232132,
0.0018994073616340756,
0.051637280732393265,
0.05502878129482269,
-0.008142098784446716,
-0.01755600981414318,
-0.008345754817128181,
0.011014069430530071,
-0.008553567342460155,
0.03830402344465256,
-0.10533606261014938,
-0.04182852432131767,
-0.024871014058589935,
-0.005768878385424614,
0.02488764002919197,
-0.05512853339314461,
0.02370726503431797,
-0.0021404700819402933,
0.008570192381739616,
-0.004900221712887287,
0.030074642971158028,
0.04232727363705635,
-0.0198336374014616,
0.015569321811199188,
-0.0007595551433041692,
-0.0151121336966753,
-0.030373893678188324,
-0.050540030002593994,
0.042959026992321014,
-0.022593388333916664,
0.03404802083969116,
-0.0008587856427766383,
0.011620881967246532,
-0.06224403902888298,
0.08119654655456543,
-0.008191973902285099,
0.023191889747977257,
0.024671515449881554,
-0.0025207670405507088,
0.007639192044734955,
-0.01616782136261463,
-0.02679951675236225,
0.019584260880947113,
0.010432193987071514,
-0.004380689933896065,
0.018320761620998383,
-0.012610070407390594,
0.0054488470777869225,
-0.008935943245887756,
0.012934258207678795,
0.010656631551682949,
0.022460388019680977,
0.00027119548758491874,
0.014679883606731892,
-0.04571877792477608,
0.0007107191486284137,
0.023740515112876892,
-0.0032792831771075726,
-0.015494509600102901,
0.004071049392223358,
-0.06802953779697418,
-0.013499507680535316,
-0.03325001895427704,
0.04246027395129204,
-0.01988351158797741,
-0.013167007826268673,
-0.000836445833556354,
-0.05140453204512596,
-0.01865326054394245,
0.004879440646618605,
-0.014039820991456509,
0.03760577365756035,
0.013940070755779743,
0.000607851950917393,
0.021662387996912003,
0.0020396809559315443,
0.0028137830086052418,
-0.0604485347867012,
-0.0670652911067009,
0.029675642028450966,
0.012044820003211498,
-0.013956695795059204,
-0.07328304648399353,
0.01991676166653633,
0.04136302322149277,
-0.05030728131532669,
0.03787177428603172,
-0.024621639400720596,
-0.04069802537560463,
0.0311718937009573,
-0.024272514507174492,
-0.03876952454447746,
-0.04797977954149246,
0.008482911624014378,
-0.02538638934493065,
-0.0074937231838703156,
-0.03986677527427673,
-0.007435535546392202,
0.021695638075470924,
-0.0256191398948431,
0.053665533661842346,
-0.07667454332113266,
-0.009800443425774574,
0.023807013407349586,
-0.006467129103839397,
-0.020831137895584106,
-0.03704052045941353,
0.01935151219367981,
-0.04578527808189392,
0.03251852095127106,
0.023241763934493065,
0.004671627655625343,
-0.02277626283466816,
-0.0224936380982399,
0.004646690096706152,
-0.051637280732393265,
-0.02533651515841484,
-0.01497082132846117,
-0.017140384763479233,
-0.01079794391989708,
0.006471285130828619,
0.044056277722120285,
-0.038836024701595306,
-0.003065236145630479,
0.0049251592718064785,
-0.008383161388337612,
-0.06457153707742691,
-0.011014069430530071,
-0.0099168187007308,
0.0332333967089653,
0.05120503157377243,
0.02701564133167267,
0.0027077984996140003,
0.002192423213273287,
0.037339773029088974,
0.08658305555582047,
0.00007585161074530333,
0.009343255311250687,
0.002722345292568207,
-0.0029343143105506897,
-0.034812770783901215,
-0.03677452355623245,
-0.014280883595347404,
0.032202646136283875,
0.01576882228255272,
0.007069785613566637,
-0.025685640051960945,
0.04069802537560463,
-0.020432136952877045,
0.00040601391810923815,
-0.0033166895154863596,
0.02440551482141018,
0.023740515112876892,
0.01216119434684515,
0.02089763805270195,
-0.03511201962828636,
0.012452132068574429,
-0.01743963547050953,
0.0032148612663149834,
0.029393017292022705,
0.028661517426371574,
0.010781318880617619,
0.00009202202636515722,
0.015594258904457092,
-0.017788760364055634,
0.028545141220092773,
-0.02965901792049408,
0.024538515135645866,
0.02151276357471943,
-0.0032688926439732313,
-0.018071385100483894,
0.03271802142262459,
0.022593388333916664,
-0.04940953105688095,
0.02041551284492016,
0.02460501529276371,
-0.021047262474894524,
0.04555252566933632,
-0.008869443088769913,
-0.020930888131260872,
0.07208604365587234,
-0.0022007357329130173,
-0.07554404437541962,
-0.01502900943160057,
-0.03059001825749874,
0.029526017606258392,
-0.005926816258579493,
0.022177763283252716,
-0.014729758724570274,
-0.015170321799814701,
0.04907703027129173,
0.023408014327287674,
-0.003948439843952656,
-0.019052261486649513,
0.03059001825749874,
0.057422783225774765,
-0.019168635830283165,
-0.01495419628918171,
0.0349457710981369,
0.012352382764220238,
-0.018187761306762695,
0.0012240163050591946,
0.003052767366170883,
-0.04056502506136894,
-0.046018026769161224,
0.011820382438600063,
-0.006637535057961941,
-0.006874441634863615,
-0.06792978942394257,
0.023856889456510544,
-0.00092684431001544,
-0.010482069104909897,
0.008503692224621773,
0.028462016955018044,
-0.019534386694431305,
-0.020930888131260872,
0.032651521265506744,
0.021695638075470924,
0.04701552912592888,
-0.03514527156949043,
-0.012826194986701012,
0.0019253839273005724,
0.0001146865906775929,
0.010440506041049957,
0.01540307141840458,
-0.0265667662024498,
-0.005203627981245518,
-0.002961329882964492,
-0.01698244735598564,
0.013740570284426212,
-0.03295077010989189,
0.01833738572895527,
0.03205301985144615,
-0.021861888468265533,
-0.02044876292347908,
-0.01893588714301586,
-0.015452946536242962,
0.02339138835668564,
-0.026267515495419502,
-0.053466033190488815,
0.016940884292125702,
0.050174281001091,
0.0197172611951828,
-0.017223510891199112,
-0.016142884269356728,
0.0030506893526762724,
-0.0602157860994339,
0.00817119237035513,
-0.012136257253587246,
-0.008000786416232586,
-0.0033395488280802965,
-0.018636636435985565,
0.03373214602470398,
0.016766322776675224,
0.013657446019351482,
0.014480384066700935,
-0.004372377414256334,
0.023574264720082283,
0.030889268964529037,
-0.004966721870005131,
0.027032265439629555,
0.00755606684833765,
-0.028628267347812653,
0.020648261532187462,
-0.011778819374740124,
0.018187761306762695,
-0.01207807008177042,
0.016242634505033493,
-0.010706506669521332,
-0.02126338705420494,
-0.01797163486480713,
0.002639220329001546,
-0.023025639355182648,
0.009584317915141582,
-0.005137128289788961,
0.01079794391989708,
-0.04428902640938759,
-0.0018858995754271746,
-0.003364486386999488,
-0.02339138835668564,
0.01727338507771492,
0.006932629272341728,
-0.017672386020421982,
0.006292566191405058,
-0.00877800490707159,
-0.001161672524176538,
0.05968378484249115,
0.027547640725970268,
0.027813641354441643,
-0.05649178475141525,
-0.000053446809033630416,
-0.00806313008069992,
0.07694054394960403,
-0.011471256613731384,
0.02277626283466816,
0.021762138232588768,
-0.023009013384580612,
-0.002562329638749361,
-0.02831239253282547,
-0.02876126766204834,
0.008827880024909973,
0.01099744439125061,
0.056159283965826035,
-0.018038135021924973,
-0.001269735163077712,
-0.015236821956932545,
-0.0138735705986619,
0.01935151219367981,
0.000972043548244983,
0.011047319509088993,
0.011180318892002106,
0.0018297901842743158,
0.03614277020096779,
0.013150382786989212,
0.029393017292022705,
0.04398977756500244,
0.058353785425424576,
-0.04754753038287163,
0.06513679027557373,
-0.0019887667149305344,
0.015544384717941284,
-0.012294194661080837,
0.011920131742954254,
-0.021579263731837273,
0.001981493318453431,
0.014081383123993874,
0.024538515135645866,
-0.025818640366196632,
0.005004127975553274,
-0.016192760318517685,
0.006716504227370024,
0.004663315135985613,
0.012601757422089577,
0.0034580021165311337,
-0.0030319862999022007,
0.006978347897529602,
-0.007747254800051451,
-0.05462978407740593,
0.030523518100380898,
-0.03561077266931534,
-0.0022921732161194086,
0.006122159771621227,
-0.013682383112609386,
-0.025319891050457954,
0.04229402542114258,
0.005727315787225962,
-0.027165265753865242,
0.058320533484220505,
0.014654946513473988,
0.0078095984645187855,
-0.008017411455512047,
-0.009825380519032478,
0.04219427704811096,
0.07587654888629913,
-0.05665803328156471,
0.017506135627627373,
-0.01124681904911995,
-0.028994018211960793,
0.032734643667936325,
0.007984161376953125,
0.017855260521173477,
-0.031271643936634064,
0.017339885234832764,
0.04904377833008766,
-0.010108006186783314,
0.041861776262521744,
-0.03180364519357681,
-0.012236007489264011,
0.026101265102624893,
0.017988260835409164,
-0.02151276357471943,
-0.024987390264868736,
-0.03564402088522911,
-0.02134651318192482,
-0.004542783834040165,
0.0244387648999691,
-0.002192423213273287,
0.004447190091013908,
-0.014796258881688118,
0.0675307884812355,
0.0008655395940877497,
-0.03311701864004135,
0.028744641691446304,
0.0035577521193772554,
-0.014679883606731892,
-0.0027348140720278025,
-0.00021846302843187004,
-0.013150382786989212,
-0.04940953105688095,
0.0006618832121603191,
-0.008391473442316055,
0.03206964582204819,
0.0034704708959907293,
0.023690639063715935,
0.02664989046752453,
-0.02448863908648491,
0.005307534243911505,
-0.008341598324477673,
0.0024563451297581196,
0.04162902384996414,
-0.024289140477776527,
0.013940070755779743,
-0.009459630586206913,
-0.0219616387039423,
0.0465167760848999,
0.010440506041049957,
-0.025768766179680824,
-0.0030319862999022007,
0.011579319834709167,
0.008919318206608295,
0.0396672748029232,
-0.0012780476827174425,
0.050540030002593994,
-0.0029717206489294767,
-0.06171203777194023,
-0.04182852432131767,
-0.012967507354915142,
0.0407312735915184,
-0.04525327682495117,
0.03760577365756035,
0.01988351158797741,
-0.02701564133167267,
-0.04299227520823479,
-0.011030694469809532,
-0.057422783225774765,
-0.01016619335860014,
-0.028129516169428825,
-0.03926827386021614,
0.019168635830283165,
-0.003526580287143588,
0.0190688855946064,
-0.0068827541545033455,
-0.013291695155203342,
0.001114914775826037,
-0.0013829930685460567,
0.011820382438600063,
-0.05486253276467323,
0.011928444728255272,
0.02924339286983013,
-0.006026566028594971,
-0.00009403521107742563,
-0.013092195615172386,
-0.0283955167979002,
0.03226914256811142,
-0.03800477460026741,
-0.04136302322149277,
-0.007344098296016455,
0.009418068453669548,
-0.0417952761054039,
0.010432193987071514,
0.019650761038064957,
-0.0012967507354915142,
0.027797017246484756,
-0.008969193324446678,
0.013050632551312447,
-0.018503636121749878,
-0.0028137830086052418,
0.030257517471909523,
0.02322513982653618,
0.006795472931116819,
0.026267515495419502,
-0.00601825350895524,
0.0317038930952549,
0.004251846112310886,
-0.005710690747946501,
0.0381377711892128,
0.07334954291582108,
0.03083939291536808,
-0.04950927942991257,
-0.04302552714943886,
-0.02640051580965519,
0.030407143756747246,
0.04375702515244484,
-0.034812770783901215,
-0.04987502843141556,
0.020482013002038002,
-0.04089752584695816,
-0.0015450868522748351,
-0.008449661545455456,
0.01581038534641266,
0.05642528459429741,
-0.04325827583670616,
-0.004846190568059683,
-0.035012271255254745,
0.028894267976284027,
0.04069802537560463,
0.006816253997385502,
0.011853632517158985,
0.02693251706659794,
-0.03561077266931534,
-0.0054322220385074615,
-0.009185317903757095,
-0.008482911624014378,
-0.04608452692627907,
-0.012901008129119873,
0.007215254474431276,
0.0402657724916935,
-0.00603903504088521,
-0.009251818060874939,
0.005282597150653601,
0.02334151417016983,
0.06809604167938232,
0.0012738914228975773,
-0.004037799313664436,
-0.015561009757220745,
0.028944142162799835,
0.04924327880144119,
-0.010432193987071514,
-0.023324888199567795,
0.028744641691446304,
-0.023973263800144196,
0.02550276555120945,
-0.020465387031435966,
0.029077142477035522,
0.017788760364055634,
0.025901764631271362,
-0.0052368780598044395,
0.011903506703674793,
-0.016001572832465172,
0.007028223015367985,
-0.019767137244343758,
-0.012568507343530655,
0.020764637738466263,
0.012044820003211498,
0.04867802932858467,
0.014098008163273335,
-0.05296728014945984,
-0.017539385706186295,
-0.017015697434544563,
-0.003832064801827073,
0.011105506680905819,
0.04907703027129173,
-0.052003029733896255,
0.01943463645875454,
0.0014650790253654122,
-0.0010250357445329428,
-0.011363194324076176,
0.03870302438735962,
-0.03567727282643318,
-0.003744783578440547,
0.030689768493175507,
-0.056558284908533096,
-0.03630902245640755,
0.029110392555594444,
0.023291638121008873,
-0.017539385706186295,
0.02595164068043232,
-0.01589350961148739,
0.003778033424168825,
0.0019305793102830648,
-0.016309134662151337,
-0.01439725887030363,
-0.01862001046538353,
0.01588519662618637,
-0.003526580287143588,
-0.023408014327287674,
0.0026849391870200634,
0.03760577365756035,
-0.014430508948862553,
-0.021662387996912003,
-0.058885786682367325,
0.01923513598740101,
-0.041496023535728455,
0.010889381170272827,
-0.00971731822937727,
-0.0688275396823883,
0.008570192381739616,
0.018852761015295982,
0.04698227718472481,
-0.031271643936634064,
-0.03866977244615555,
0.03724002093076706,
0.03697402402758598,
-0.019401386380195618,
-0.006633379030972719,
0.006766378879547119,
-0.008453818038105965,
0.02631739154458046,
-0.03541127219796181,
-0.035544272512197495,
0.015777135267853737,
0.0012385632144287229,
0.002907298505306244,
-0.00003659450521809049,
-0.035378020256757736,
0.02207801304757595,
-0.018038135021924973,
-0.053831782191991806,
-0.027680641040205956,
-0.03075626865029335,
0.001199078862555325,
0.018869386985898018,
0.027713891118764877,
0.010864444077014923,
0.03564402088522911,
0.018403885886073112,
0.05097227916121483,
-0.03376539424061775,
0.010947569273412228,
-0.017489509657025337,
0.0013861102052032948,
0.011088881641626358,
-0.0076890671625733376,
0.004322502762079239,
-0.0030673143919557333,
-0.006970035377889872,
-0.026134515181183815,
-0.006866129115223885,
0.03564402088522911,
0.010157881304621696,
0.012726444751024246,
-0.043524276465177536,
-0.013856945559382439,
-0.03667477145791054,
0.04901053011417389,
-0.025835266336798668,
-0.010881069116294384,
0.03290089592337608,
0.029559267684817314,
0.03783852234482765,
-0.0014141649007797241,
0.01951776258647442,
0.017256760969758034,
0.030091268941760063,
-0.01613457128405571,
-0.0005288831307552755,
-0.02974214218556881,
-0.017738886177539825,
-0.009434693492949009,
0.0698915421962738,
-0.03634227067232132,
0.006408941466361284,
0.011363194324076176,
-0.018603386357426643,
-0.01540307141840458,
0.035344772040843964,
0.03137139230966568,
0.002851189114153385,
-0.02578539028763771,
-0.015245134010910988,
0.011014069430530071,
0.012967507354915142,
-0.001927462057210505,
-0.04655002802610397,
-0.026633266359567642,
0.042593274265527725,
-0.042626526206731796,
0.0323522686958313,
-0.01207807008177042,
-0.0452200286090374,
0.011994944885373116,
-0.02049863710999489,
0.03617602214217186,
0.032934144139289856,
-0.02367401495575905,
0.010299193672835827,
0.031587518751621246,
-0.034447021782398224,
0.0349457710981369,
0.012053132057189941,
-0.003827908542007208,
0.03215276822447777,
0.024821139872074127,
-0.034812770783901215,
-0.0015471649821847677,
0.004241455812007189,
0.034280769526958466,
-0.01201988197863102,
-0.055062033236026764,
0.007169535383582115,
-0.005669128615409136,
0.06237703561782837,
0.019301636144518852
] |
Semantic and Cross-language code clone generation may be useful for code
reuse, code comprehension, refactoring and benchmarking. OpenAI's GPT model has
potential in such clone generation as GPT is used for text generation. When
developers copy/paste codes from Stack Overflow (SO) or within a system, there
might be inconsistent changes leading to unexpected behaviours. Similarly, if
someone possesses a code snippet in a particular programming language but seeks
equivalent functionality in a different language, a semantic cross-language
code clone generation approach could provide valuable assistance. In this
study, using SemanticCloneBench as a vehicle, we evaluated how well the GPT-3
model could help generate semantic and cross-language clone variants for a
given fragment.We have comprised a diverse set of code fragments and assessed
GPT-3s performance in generating code variants.Through extensive
experimentation and analysis, where 9 judges spent 158 hours to validate, we
investigate the model's ability to produce accurate and semantically correct
variants. Our findings shed light on GPT-3's strengths in code generation,
offering insights into the potential applications and challenges of using
advanced language models in software development. Our quantitative analysis
yields compelling results. In the realm of semantic clones, GPT-3 attains an
impressive accuracy of 62.14% and 0.55 BLEU score, achieved through few-shot
prompt engineering. Furthermore, the model shines in transcending linguistic
confines, boasting an exceptional 91.25% accuracy in generating cross-language
clones | [
-0.011984903365373611,
-0.012855366803705692,
-0.029522446915507317,
0.006326892878860235,
0.019351771101355553,
0.00893828272819519,
-0.0021417976822704077,
0.020213071256875992,
-0.05435355380177498,
0.05589289963245392,
0.022192230448126793,
-0.001310276216827333,
0.029119284823536873,
-0.0565892718732357,
-0.0031886440701782703,
0.056992433965206146,
0.015430105850100517,
0.004111793357878923,
-0.010335604660212994,
-0.0784333124756813,
-0.05724899098277092,
-0.016612103208899498,
-0.033315833657979965,
0.007682982832193375,
0.03522168844938278,
0.010592162609100342,
0.0307319313287735,
-0.007678401656448841,
-0.033169228583574295,
-0.0015759965172037482,
-0.030328771099448204,
0.002877109916880727,
0.019644979387521744,
-0.021825719624757767,
0.004938733298331499,
-0.008269400335848331,
0.03939991444349289,
0.048709288239479065,
-0.05798201262950897,
0.01080290600657463,
0.026865243911743164,
-0.021532511338591576,
0.025051014497876167,
-0.03130002319812775,
0.03531331568956375,
0.002425843384116888,
0.050102028995752335,
-0.05351058021187782,
-0.013221877627074718,
-0.05446350947022438,
0.025417525321245193,
0.02554580383002758,
0.05581959709525108,
-0.03939991444349289,
-0.005383127834647894,
0.04724324494600296,
0.008131958544254303,
-0.007724215276539326,
0.07542792707681656,
-0.013276854529976845,
-0.0036307477857917547,
0.04068269953131676,
-0.0045378622598946095,
-0.01905856281518936,
0.021715765818953514,
0.01320355199277401,
-0.01493531558662653,
0.0018073564860969782,
0.020854465663433075,
-0.044714320451021194,
-0.021514184772968292,
-0.004620327148586512,
-0.00590540561825037,
0.011270207352936268,
0.03007221221923828,
0.014532153494656086,
0.039326611906290054,
0.033645693212747574,
-0.0398397259414196,
0.02303520403802395,
0.04401794821023941,
0.041452374309301376,
-0.01481619942933321,
0.015677500516176224,
0.05816526710987091,
-0.027873147279024124,
-0.01558587234467268,
-0.0693804994225502,
-0.002941249404102564,
-0.02684691734611988,
-0.01775744929909706,
-0.0026869825087487698,
0.025051014497876167,
-0.0020684953778982162,
-0.032491184771060944,
0.021862370893359184,
-0.022118927910923958,
-0.002377738943323493,
-0.02631547674536705,
0.0563693642616272,
-0.018169773742556572,
-0.010124861262738705,
0.00976751372218132,
-0.01938842236995697,
0.038556937128305435,
-0.041305769234895706,
-0.0250693392008543,
-0.01637387089431286,
0.011645881459116936,
0.13267691433429718,
-0.02265036851167679,
0.001710002077743411,
-0.018728703260421753,
-0.0487825907766819,
0.010976999066770077,
0.02323678508400917,
-0.016584614291787148,
-0.05552639067173004,
0.05109160766005516,
-0.05911819636821747,
0.01900358684360981,
0.05504992604255676,
0.0032252951059490442,
-0.0539870448410511,
-0.02823965810239315,
0.051348164677619934,
-0.002922923769801855,
0.013432621955871582,
0.02977900393307209,
0.02963239885866642,
-0.015998197719454765,
0.002519761910662055,
-0.009611746296286583,
0.03635787218809128,
0.054280251264572144,
0.009749188087880611,
0.015934057533740997,
0.043174974620342255,
-0.016712892800569534,
-0.015201035887002945,
-0.012213973328471184,
0.003042039694264531,
0.046840082854032516,
-0.010088209994137287,
0.0034245855640619993,
-0.012956157326698303,
-0.023200135678052902,
0.13113756477832794,
0.00256786635145545,
-0.013505923561751842,
-0.03016383945941925,
0.003053493332117796,
-0.01654796302318573,
0.02785482257604599,
-0.006235265173017979,
0.031483277678489685,
0.007371448911726475,
0.06776785105466843,
0.004615745507180691,
0.0006917891441844404,
0.02563743107020855,
-0.03652280196547508,
0.03296764940023422,
0.028972679749131203,
-0.011077789589762688,
-0.01604401133954525,
0.0011195760453119874,
0.04804956912994385,
-0.08437079191207886,
0.0321979746222496,
0.030750257894396782,
0.046876732259988785,
0.021037720143795013,
0.04804956912994385,
-0.04643692076206207,
0.0037704799324274063,
0.030512025579810143,
-0.022815298289060593,
-0.00228725653141737,
0.017537543550133705,
-0.03705424442887306,
0.03142830356955528,
0.01376248151063919,
0.005479336716234684,
0.04929570481181145,
0.00368114304728806,
0.08253823965787888,
-0.00016621837858110666,
-0.010656301863491535,
-0.014642107300460339,
-0.040865957736968994,
-0.05237439647316933,
0.0056717549450695515,
-0.009300212375819683,
-0.009002421982586384,
0.019076887518167496,
-0.07623425126075745,
0.0015164385549724102,
-0.029210912063717842,
0.03679768741130829,
0.006899566389620304,
-0.058715034276247025,
0.003575771115720272,
0.03522168844938278,
0.0346902497112751,
0.04541068896651268,
-0.025710733607411385,
0.0012117763981223106,
-0.006656752899289131,
-0.06336972117424011,
0.0045768036507070065,
-0.028129706159234047,
-0.05450015887618065,
-0.06183037534356117,
0.011618392542004585,
-0.039766423404216766,
0.020029816776514053,
0.022668693214654922,
-0.020359676331281662,
0.004327118396759033,
0.010976999066770077,
0.002089111600071192,
0.05490332096815109,
-0.025655757635831833,
-0.06172042340040207,
-0.0002196201530750841,
0.002145233564078808,
0.013148576021194458,
-0.010656301863491535,
-0.0030557839199900627,
0.006789613049477339,
0.013899922370910645,
-0.026718638837337494,
-0.028459565714001656,
0.028276309370994568,
-0.030603652819991112,
0.043798044323921204,
-0.006908728741109371,
-0.007307309657335281,
0.02823965810239315,
-0.02737835794687271,
-0.013368481770157814,
-0.04900249466300011,
-0.023841528221964836,
0.06476245820522308,
-0.0014580258866772056,
-0.03250950947403908,
0.015695825219154358,
-0.004457687959074974,
0.008965770713984966,
-0.0020329896360635757,
0.00039714883314445615,
-0.02294357679784298,
0.055306483060121536,
-0.016181452199816704,
-0.015283500775694847,
0.039766423404216766,
0.025582455098628998,
0.015860754996538162,
-0.013670853339135647,
0.003135958220809698,
0.008484725840389729,
-0.07938624173402786,
0.05464676395058632,
-0.017097730189561844,
0.02587566338479519,
0.0398397259414196,
0.023841528221964836,
-0.0013194389175623655,
0.026810266077518463,
-0.007211100310087204,
-0.0281846821308136,
-0.06736468523740768,
0.007408099714666605,
-0.001743217115290463,
0.01725349761545658,
0.012443042360246181,
-0.027598265558481216,
0.02078116312623024,
0.018545446917414665,
0.02279697358608246,
0.022155579179525375,
0.014752060174942017,
0.057029083371162415,
-0.007628006394952536,
-0.05787205696105957,
-0.0301088634878397,
-0.025417525321245193,
-0.02424469031393528,
0.047353196889162064,
-0.023548319935798645,
-0.02078116312623024,
-0.016502149403095245,
0.0435781367123127,
0.021349254995584488,
-0.019736608490347862,
-0.01838051714003086,
0.0784333124756813,
0.003179481253027916,
0.01636470854282379,
-0.07157956063747406,
-0.07733378559350967,
0.016273079439997673,
-0.00547017389908433,
-0.054280251264572144,
0.029504120349884033,
-0.006267334800213575,
0.031776487827301025,
-0.05600285157561302,
-0.0033993879333138466,
0.04863598570227623,
-0.03696261718869209,
-0.051311515271663666,
0.011893276125192642,
0.010867046192288399,
0.05567299202084541,
0.012158996425569057,
0.01648382470011711,
-0.03342578560113907,
-0.016089824959635735,
0.04900249466300011,
-0.007087402977049351,
-0.09126119315624237,
0.031153419986367226,
0.027103474363684654,
0.01308443583548069,
0.03998633101582527,
0.04387134313583374,
0.00303058628924191,
-0.048526033759117126,
-0.018004843965172768,
-0.03238122910261154,
-0.028752774000167847,
-0.04988212138414383,
-0.013789969496428967,
-0.011508439667522907,
-0.0630398616194725,
0.017537543550133705,
0.014733734540641308,
-0.007398937363177538,
-0.03227127715945244,
0.008351865224540234,
-0.0006975159049034119,
0.006904147565364838,
0.049039147794246674,
-0.04969886690378189,
0.0016504439990967512,
0.055966202169656754,
-0.022118927910923958,
-0.017748286947607994,
0.001037683803588152,
-0.008370190858840942,
-0.007838750258088112,
-0.03819042816758156,
-0.031959742307662964,
-0.014541316777467728,
-0.032784391194581985,
-0.02217390388250351,
0.035716477781534195,
0.07370532304048538,
-0.0038369102403521538,
-0.07828670740127563,
0.012809553183615208,
0.034232109785079956,
-0.016703730449080467,
-0.0462903156876564,
-0.02957742288708687,
0.029998909682035446,
-0.006620101630687714,
-0.06923389434814453,
-0.024263016879558563,
0.05937475338578224,
0.013991550542414188,
0.033370811492204666,
-0.006134474650025368,
0.024592876434326172,
0.0294857956469059,
0.0075317975133657455,
-0.006725473329424858,
0.05420694872736931,
-0.032014720141887665,
0.03558820113539696,
0.021037720143795013,
-0.012525507248938084,
-0.022485438734292984,
0.00720193749293685,
0.029284214600920677,
0.005406034644693136,
0.004146153572946787,
-0.026517057791352272,
0.02770821750164032,
-0.03371899574995041,
-0.057945359498262405,
-0.039473216980695724,
0.016511311754584312,
0.026535382494330406,
-0.039473216980695724,
0.00476464070379734,
0.0011453463230282068,
-0.013185226358473301,
-0.03657777979969978,
-0.014541316777467728,
0.016410522162914276,
0.03800717368721962,
-0.006899566389620304,
-0.03414048254489899,
-0.03747573122382164,
0.0016172289615496993,
-0.04599710926413536,
0.02265036851167679,
-0.03597303852438927,
0.004311083350330591,
-0.035240016877651215,
-0.009281886741518974,
0.04328492656350136,
0.014770385809242725,
-0.020506279543042183,
0.029192587360739708,
0.02616887167096138,
-0.003960607573390007,
-0.00003283922706032172,
0.02299855463206768,
0.016676241531968117,
0.049185752868652344,
-0.015026943758130074,
0.012763739563524723,
0.05354722961783409,
0.07638085633516312,
-0.05204453691840172,
-0.04112251475453377,
-0.0017833041492849588,
-0.02957742288708687,
0.03896009922027588,
0.012131508439779282,
-0.02356664650142193,
-0.0018611877458170056,
-0.00047760939924046397,
-0.012965320609509945,
-0.023731576278805733,
0.0186187494546175,
-0.0003905631019733846,
-0.03040207177400589,
0.027543287724256516,
-0.04060939699411392,
-0.10123028606176376,
-0.05603950470685959,
-0.0173176359385252,
-0.026828592643141747,
-0.013533411547541618,
-0.0410858616232872,
-0.058091964572668076,
0.011563416570425034,
-0.0859101340174675,
0.03274774178862572,
0.0653122290968895,
-0.010124861262738705,
-0.02395148202776909,
0.020048141479492188,
0.04599710926413536,
-0.04365143924951553,
-0.0018749318551272154,
0.0036330383736640215,
0.011609230190515518,
-0.01684117130935192,
0.0014568804763257504,
-0.03694428876042366,
0.015622523613274097,
-0.03751238062977791,
0.0069637056440114975,
0.007682982832193375,
-0.012635460123419762,
-0.007747122552245855,
-0.003639910602942109,
-0.07909303158521652,
0.0006259317742660642,
0.011206068098545074,
0.0460704080760479,
-0.0024327156133949757,
0.02107437141239643,
0.02569240890443325,
0.023365065455436707,
0.007339379284530878,
-0.005832103546708822,
-0.03833703324198723,
0.046693477779626846,
0.028074728325009346,
0.04416455328464508,
-0.02968737669289112,
0.03025546856224537,
0.03863023966550827,
-0.02323678508400917,
-0.021275952458381653,
-0.059777915477752686,
-0.037787266075611115,
0.00040316188824363053,
-0.039949677884578705,
-0.058128613978624344,
0.009066561236977577,
-0.004815035965293646,
-0.012039880268275738,
-0.027671566233038902,
-0.03481852635741234,
-0.019736608490347862,
0.011270207352936268,
0.008690888062119484,
0.029045982286334038,
-0.041598979383707047,
0.0409759096801281,
-0.0486726351082325,
-0.033938903361558914,
-0.014807037077844143,
-0.013450946658849716,
0.0027190521359443665,
-0.012113182805478573,
-0.040572747588157654,
0.03674270957708359,
-0.00671172933652997,
0.0073897745460271835,
0.06982030719518661,
-0.01031727995723486,
0.0021337801590561867,
-0.01313025038689375,
-0.0001667910546530038,
0.024317992851138115,
-0.004391257651150227,
0.026572033762931824,
-0.0023055821657180786,
0.015851592645049095,
0.0061528002843260765,
-0.009639234282076359,
-0.030182166025042534,
0.027360033243894577,
-0.041635628789663315,
-0.015448430553078651,
-0.03564317524433136,
-0.05200788378715515,
0.028056403622031212,
0.021440882235765457,
-0.04643692076206207,
0.013038622215390205,
0.0016137929633259773,
0.01625475473701954,
-0.04383469372987747,
0.03415880724787712,
0.018050657585263252,
-0.0059420564211905,
0.0424419529736042,
-0.05629606172442436,
0.024171387776732445,
0.0102714654058218,
-0.02483110874891281,
0.03421378508210182,
0.03188643977046013,
0.009538443759083748,
-0.01986488699913025,
-0.08429748564958572,
-0.011645881459116936,
-0.029559098184108734,
0.012131508439779282,
-0.04603375867009163,
-0.006249009631574154,
0.008351865224540234,
-0.010830394923686981,
-0.018783679232001305,
0.034378714859485626,
-0.03483685478568077,
0.02549082785844803,
0.04339488223195076,
0.0009174224105663598,
-0.000027559895897866227,
0.004308792762458324,
-0.021953998133540154,
-0.04478762298822403,
-0.01007904764264822,
-0.025325898081064224,
0.0301088634878397,
0.034855179488658905,
-0.029430817812681198,
-0.01885698176920414,
-0.0011184306349605322,
-0.03804382309317589,
-0.05450015887618065,
-0.017482565715909004,
0.047023337334394455,
0.021862370893359184,
0.008136539719998837,
-0.01472457218915224,
-0.020506279543042183,
-0.003781933570280671,
0.01592489518225193,
-0.009602583013474941,
0.019076887518167496,
-0.024886084720492363,
-0.03397555276751518,
-0.02631547674536705,
0.019791584461927414,
0.05046853795647621,
0.004870012402534485,
0.009703373536467552,
-0.013698342256247997,
0.015796616673469543,
-0.008054074831306934,
0.07264244556427002,
0.018151449039578438,
0.00492040766403079,
-0.005703824572265148,
-0.02352999523282051,
-0.051458120346069336,
0.01778493821620941,
-0.006235265173017979,
-0.016685405746102333,
0.010051559656858444,
0.019901538267731667,
-0.02963239885866642,
0.0205979086458683,
-0.04801291599869728,
-0.0018760772654786706,
0.01805981993675232,
-0.023878179490566254,
-0.007234007120132446,
0.03313257917761803,
-0.03732912614941597,
0.019498376175761223,
0.008402260951697826,
-0.04398129880428314,
0.06784114986658096,
-0.029943933710455894,
-0.040719352662563324,
-0.01366169098764658,
0.043028369545936584,
-0.09250733256340027,
-0.00006725330604240298,
-0.03641285002231598,
-0.005126569885760546,
-0.017308473587036133,
0.024647852405905724,
0.002776319393888116,
0.010500535368919373,
-0.027689892798662186,
-0.007064496167004108,
0.024739479646086693,
-0.021349254995584488,
0.0071057286113500595,
0.06355297565460205,
-0.011325184255838394,
0.0033008879981935024,
0.014348898082971573,
0.035386618226766586,
0.033169228583574295,
0.021587487310171127,
0.020121444016695023,
0.037347450852394104,
-0.016245592385530472,
0.04075600206851959,
0.015017780475318432,
-0.008521376177668571,
0.010344767943024635,
0.0030489119235426188,
0.0006706002750433981,
0.028587844222784042,
0.013789969496428967,
-0.002609098795801401,
0.0076875644735991955,
-0.03426876291632652,
0.044860925525426865,
-0.04647357016801834,
-0.019608328118920326,
-0.007330216467380524,
-0.0359913632273674,
0.0347452238202095,
0.009914117865264416,
-0.026370452716946602,
-0.04603375867009163,
-0.0068079386837780476,
0.02607724443078041,
-0.03122672252357006,
0.02968737669289112,
0.04002298042178154,
0.01015234924852848,
-0.008342702873051167,
-0.013020296581089497,
0.021569160744547844,
-0.013139412738382816,
-0.02891770377755165,
-0.017775774002075195,
0.005653429310768843,
-0.0003622157673817128,
-0.004842524416744709,
-0.05351058021187782,
-0.01719851978123188,
-0.046400271356105804,
-0.02924756333231926,
-0.015320152044296265,
0.03621126711368561,
0.040536098182201385,
0.03797052055597305,
-0.05581959709525108,
-0.0071607050485908985,
0.01181081123650074,
-0.023438366129994392,
0.0066796597093343735,
-0.00126904365606606,
-0.045154131948947906,
0.00003516571086947806,
0.02534422278404236,
0.056406013667583466,
0.0036628174129873514,
-0.0205429308116436,
0.0021853207144886255,
0.06128060817718506,
0.012012392282485962,
0.04812287166714668,
0.028606168925762177,
0.026920219883322716,
-0.022430462762713432,
-0.02525259554386139,
0.014202293939888477,
0.026058919727802277,
-0.005653429310768843,
0.04537403956055641,
0.0006952252006158233,
0.005612196866422892,
0.004386676475405693,
-0.06333307176828384,
-0.04207544028759003,
0.03144662827253342,
-0.013964062556624413,
-0.011068626306951046,
0.01407401543110609,
-0.009323119185864925,
-0.008590097539126873,
-0.03804382309317589,
-0.02607724443078041,
0.022815298289060593,
-0.033370811492204666,
-0.022338833659887314,
-0.0022964193485677242,
0.04156232625246048,
-0.016062336042523384,
-0.014568804763257504,
0.0054747555404901505,
-0.055453088134527206,
0.01817893609404564,
0.001642426592297852,
-0.02761659026145935,
-0.006702566519379616,
0.01138016115874052,
-0.006409357767552137,
-0.00877793412655592,
0.02255874127149582,
0.06762124598026276,
0.009240654297173023,
0.05365718528628349,
-0.03487350419163704,
-0.01640135981142521,
-0.008173190988600254,
-0.028349611908197403,
0.030420398339629173,
-0.012314763851463795,
-0.020139768719673157,
-0.018783679232001305,
0.049772169440984726,
0.04291841760277748,
0.022357160225510597,
0.030475374311208725,
-0.023639947175979614,
-0.01462378166615963,
0.012946994975209236,
0.02853286638855934,
0.008040331304073334,
-0.008709213696420193,
-0.02895435504615307,
0.06534887850284576,
-0.0032115511130541563,
0.03045704960823059,
-0.00708282133564353,
0.028129706159234047,
0.0005300089833326638,
-0.00714237941429019,
0.030915187671780586,
-0.023584971204400063,
-0.014715408906340599,
-0.03516671434044838,
0.0054289414547383785,
-0.020854465663433075,
0.0212209764868021,
0.02175241708755493,
-0.019131865352392197,
0.007540959864854813,
0.04156232625246048,
-0.008759608492255211,
-0.06472580879926682,
0.013478435575962067,
-0.01938842236995697,
0.01740926317870617,
-0.026150546967983246,
-0.010418069548904896,
0.032399557530879974,
-0.036486152559518814,
-0.031391650438308716,
0.041342418640851974,
-0.015246850438416004,
-0.009630071930587292,
0.008594678714871407,
0.0005815495969727635,
-0.044274505227804184,
-0.030860211700201035,
-0.021532511338591576,
0.00952928140759468,
0.03659610450267792,
0.01255299523472786,
0.015338477678596973,
-0.014953641220927238,
0.02164246328175068,
0.05904489383101463,
0.0038643984589725733,
-0.03511173650622368,
-0.019296795129776,
0.0007587919244542718,
-0.041342418640851974,
-0.05233774334192276,
-0.019168516620993614,
0.03545992076396942,
-0.007426425348967314,
-0.027103474363684654,
0.02829463593661785,
0.0023960645776242018,
0.01192992739379406,
0.060254380106925964,
0.013991550542414188,
0.0144038749858737,
-0.025600779801607132,
-0.005882498808205128,
-0.003935409709811211,
-0.03954651579260826,
0.0486726351082325,
-0.008984096348285675,
-0.020139768719673157,
-0.01061048824340105,
0.041342418640851974,
-0.07495146244764328,
0.029760679230093956,
0.03228960186243057,
-0.04181888327002525,
-0.002822133246809244,
0.0007524925167672336,
-0.013432621955871582,
0.033169228583574295,
0.008461818099021912,
0.03084188513457775,
0.03958316892385483,
0.02362162247300148,
0.011370997875928879,
0.04020623862743378,
-0.038850147277116776,
0.03175816312432289,
-0.009538443759083748,
0.015695825219154358,
-0.016318894922733307,
0.00902990996837616,
0.002780900802463293,
0.006056591402739286,
0.008846654556691647,
-0.029815655201673508,
0.031868115067481995,
0.02078116312623024,
-0.022210555151104927,
-0.0631498172879219,
-0.018838655203580856,
-0.04383469372987747,
-0.052740905433893204,
0.017097730189561844,
-0.036870989948511124,
0.018985260277986526,
0.03665108233690262,
0.0179132167249918,
-0.006125311832875013,
-0.017693309113383293,
0.03157490864396095,
-0.021825719624757767,
-0.00683084549382329,
-0.0013984678080305457,
-0.025472501292824745,
-0.007243169937282801,
0.027488311752676964,
-0.012662949040532112,
-0.019516700878739357,
-0.03238122910261154,
-0.0030466211028397083,
-0.04570389911532402,
-0.03093351237475872,
0.009510955773293972,
-0.0551232285797596,
-0.027360033243894577,
0.09082137793302536,
0.057029083371162415,
-0.001340055139735341,
0.02823965810239315,
-0.03414048254489899,
-0.01388159766793251,
0.0058550103567540646,
0.0026549126487225294,
-0.04804956912994385,
-0.04519078508019447,
0.028991006314754486,
0.00837935321033001,
0.03498345613479614,
-0.030438723042607307,
0.03397555276751518,
0.01767498441040516,
0.011673369444906712,
0.003978933207690716,
-0.010601324960589409,
-0.03184979036450386,
0.02255874127149582,
0.023731576278805733,
0.028074728325009346,
0.031098442152142525,
0.04189218580722809,
-0.003788805566728115,
0.04401794821023941,
0.031538255512714386,
0.03133667632937431,
0.016676241531968117,
-0.0423320010304451,
0.026388779282569885,
-0.009969093836843967,
0.005085337441414595,
0.01580577902495861,
-0.015934057533740997,
-0.024208039045333862,
0.02303520403802395,
-0.007376030087471008,
0.0022116636391729116,
0.0423320010304451,
-0.014614619314670563,
0.008695469237864017,
0.02030469849705696,
-0.022137252613902092,
-0.023401714861392975,
-0.02741500921547413,
-0.0018382808193564415,
0.06113400310277939,
0.021569160744547844,
0.009281886741518974,
0.023255111649632454,
0.028881052508950233,
0.04123246669769287,
0.04258855804800987,
0.03632122278213501,
0.01299280859529972,
-0.014248108491301537,
0.02338339015841484,
0.00022591956076212227,
-0.02583901211619377,
0.04181888327002525,
-0.019590003415942192,
-0.015182710252702236,
-0.053620532155036926,
0.03256448730826378,
0.01900358684360981,
0.06252674758434296,
0.01234225183725357,
-0.012525507248938084,
-0.005264011677354574,
-0.00006131181726232171,
-0.02703017368912697,
-0.03421378508210182,
0.011316021904349327,
0.008851236663758755,
0.013093599118292332,
-0.026975195854902267,
0.028203006833791733,
0.038886796683073044,
0.04005963355302811,
-0.002425843384116888,
-0.021422557532787323,
-0.001750089111737907,
0.006184869911521673,
0.024959387257695198,
0.025820687413215637,
-0.038593590259552,
-0.02087279036641121,
0.042258698493242264,
0.0250693392008543,
-0.05277755856513977,
-0.0006522746989503503,
-0.00021933381503913552,
-0.031043466180562973,
0.016419684514403343,
0.02208227664232254,
0.007476820610463619,
0.03756735846400261,
-0.018572935834527016,
-0.029742352664470673,
0.02516096830368042,
0.013414296321570873,
0.0051448955200612545,
-0.00775628536939621,
-0.025234268978238106,
-0.005552638787776232,
-0.0320330448448658,
-0.035533223301172256,
0.01847214438021183,
-0.003914793487638235,
0.04214874282479286,
0.04859933629631996,
0.03300429880619049,
-0.0332791805267334,
0.04848938062787056,
0.010647139512002468,
0.0014534444781020284,
0.0231451578438282,
-0.004109502770006657,
0.025087665766477585,
0.041598979383707047,
-0.049918774515390396,
-0.021440882235765457,
0.012690437026321888,
-0.0160989873111248,
-0.021147673949599266,
-0.06820766627788544,
0.03261946141719818,
-0.031868115067481995
] |
While session-based recommender systems (SBRSs) have shown superior
recommendation performance, multi-task learning (MTL) has been adopted by SBRSs
to enhance their prediction accuracy and generalizability further. Hierarchical
MTL (H-MTL) sets a hierarchical structure between prediction tasks and feeds
outputs from auxiliary tasks to main tasks. This hierarchy leads to richer
input features for main tasks and higher interpretability of predictions,
compared to existing MTL frameworks. However, the H-MTL framework has not been
investigated in SBRSs yet. In this paper, we propose HierSRec which
incorporates the H-MTL architecture into SBRSs. HierSRec encodes a given
session with a metadata-aware Transformer and performs next-category prediction
(i.e., auxiliary task) with the session encoding. Next, HierSRec conducts
next-item prediction (i.e., main task) with the category prediction result and
session encoding. For scalable inference, HierSRec creates a compact set of
candidate items (e.g., 4% of total items) per test example using the category
prediction. Experiments show that HierSRec outperforms existing SBRSs as per
next-item prediction accuracy on two session-based recommendation datasets. The
accuracy of HierSRec measured with the carefully-curated candidate items aligns
with the accuracy of HierSRec calculated with all items, which validates the
usefulness of our candidate generation scheme via H-MTL. | [
0.007369054481387138,
-0.012199925258755684,
-0.0396123081445694,
-0.01155913807451725,
0.03834737837314606,
-0.04413942992687225,
-0.035584501922130585,
0.008746330626308918,
-0.018125128000974655,
0.05831997096538544,
0.01322352048009634,
-0.012249856255948544,
-0.009561878629028797,
-0.03178970888257027,
0.03094087354838848,
0.03491874784231186,
0.028810463845729828,
-0.010327494703233242,
-0.024899164214730263,
-0.03501861169934273,
0.04317408800125122,
-0.06317996978759766,
-0.020372044295072556,
0.00020843792299274355,
0.02481594681739807,
0.01745937392115593,
-0.007061143405735493,
-0.011076467111706734,
-0.036649707704782486,
-0.01845800317823887,
-0.00551326759159565,
0.01547043677419424,
-0.0056672231294214725,
-0.03139025717973709,
-0.0282612182199955,
-0.020754851400852203,
0.0977325513958931,
0.07829256355762482,
-0.0026380466297268867,
0.03568436577916145,
0.003305880120024085,
0.04590367525815964,
-0.05532408133149147,
-0.022019783034920692,
0.008571570739150047,
-0.021021153777837753,
0.010518898256123066,
0.012374685145914555,
0.02095457725226879,
-0.03591737896203995,
-0.03383690118789673,
0.013964170590043068,
0.01061876118183136,
0.02258567325770855,
-0.059252023696899414,
0.03318779170513153,
0.01101821381598711,
0.008276143111288548,
0.03365381807088852,
0.06464462727308273,
-0.01943998970091343,
0.04850011318922043,
-0.011750541627407074,
-0.01537889614701271,
0.010826809331774712,
-0.044938333332538605,
0.010851775296032429,
-0.04607011377811432,
0.02356765978038311,
-0.010269241407513618,
-0.06930489838123322,
-0.009503625333309174,
0.03059135377407074,
-0.022269440814852715,
0.014596636407077312,
0.0019795752596110106,
0.05425887554883957,
0.009270611219108105,
0.006025065202265978,
-0.006183181889355183,
0.04204230755567551,
0.04976504296064377,
0.03471902385354042,
0.004793422296643257,
0.055989835411310196,
-0.04543764889240265,
-0.012316431850194931,
-0.04370668902993202,
0.012707562185823917,
-0.0004948938149027526,
-0.009928043000400066,
0.010260919108986855,
0.018957318738102913,
-0.00837184488773346,
-0.06274722516536713,
0.019955947995185852,
0.006312171462923288,
0.02699628658592701,
-0.027212657034397125,
-0.05422558635473251,
0.02132074162364006,
-0.03163991495966911,
0.005305219907313585,
-0.015653518959879875,
0.04074408859014511,
0.007277513388544321,
-0.019290195778012276,
0.006628403905779123,
-0.06744078546762466,
0.03658313304185867,
0.05648914724588394,
-0.020222250372171402,
-0.028028205037117004,
0.02573135681450367,
-0.04896613955497742,
-0.03338751569390297,
-0.11131391674280167,
-0.013373315334320068,
0.006495253648608923,
-0.04666928946971893,
0.03132368251681328,
-0.00470188120380044,
0.01807519607245922,
-0.0004163557314313948,
-0.050697095692157745,
0.030092038214206696,
-0.0019442070042714477,
0.025681424885988235,
0.051063261926174164,
0.02967594377696514,
-0.012416294775903225,
0.0013044599909335375,
-0.023883892223238945,
-0.04540435969829559,
-0.011750541627407074,
0.03461915999650955,
0.024582931771874428,
-0.0013575120829045773,
-0.02410026080906391,
-0.03588408976793289,
-0.048533398658037186,
-0.034486010670661926,
0.006253918167203665,
-0.01246622670441866,
0.04630312696099281,
0.0017871309537440538,
-0.04390641674399376,
0.0930057018995285,
-0.06035051494836807,
0.04866655170917511,
-0.04204230755567551,
0.05242805555462837,
-0.05063052102923393,
0.033786967396736145,
-0.03957901895046234,
0.035318199545145035,
-0.02879382111132145,
0.012915609404444695,
-0.0188907440751791,
0.043040934950113297,
0.043773263692855835,
0.004289946518838406,
-0.03608381748199463,
0.04347367584705353,
0.053127095103263855,
0.07110242545604706,
0.016061292961239815,
0.023784028366208076,
-0.07190132886171341,
0.033703748136758804,
-0.030391627922654152,
0.049798328429460526,
-0.006258078850805759,
0.04024477303028107,
0.028810463845729828,
0.00250697648152709,
0.07483064383268356,
-0.01780889555811882,
-0.05182887613773346,
0.010943315923213959,
-0.02250245399773121,
0.032155875116586685,
0.0001348410005448386,
0.011892014183104038,
0.06377914547920227,
0.03285491466522217,
0.08128844946622849,
0.03122381865978241,
0.016003038734197617,
-0.02519875392317772,
-0.004577052313834429,
0.02934306673705578,
0.06171530857682228,
0.03193950280547142,
0.0022926870733499527,
-0.028743889182806015,
-0.0541590116918087,
0.012965541332960129,
0.04047778621315956,
0.018058551475405693,
-0.005700510926544666,
-0.03461915999650955,
0.00708610936999321,
0.03163991495966911,
0.042874496430158615,
0.0200724545866251,
-0.0012243614764884114,
0.03104073740541935,
-0.01650235429406166,
-0.05585668236017227,
-0.0005487261805683374,
-0.03984532132744789,
-0.03605052828788757,
-0.043606825172901154,
-0.014555026777088642,
0.009628454223275185,
0.010868418961763382,
0.02123752236366272,
-0.023817315697669983,
0.039079707115888596,
0.017342867329716682,
-0.00811802688986063,
0.07989037036895752,
0.007302478887140751,
0.05336010828614235,
0.03781477361917496,
-0.022452522069215775,
0.008396810851991177,
0.022419234737753868,
-0.012358041480183601,
0.038813404738903046,
-0.01719307340681553,
-0.0019743740558624268,
0.006499414332211018,
0.02518210932612419,
0.015145882032811642,
-0.02464950829744339,
-0.045104771852493286,
-0.017492661252617836,
-0.03247210755944252,
-0.010652049444615841,
0.06174859777092934,
0.0020180640276521444,
0.016469066962599754,
0.03292148932814598,
0.008471707813441753,
-0.024766014888882637,
0.052860792726278305,
0.03257196769118309,
0.011492562480270863,
-0.04104367643594742,
-0.0004974944167770445,
-0.030441559851169586,
0.03114059939980507,
-0.010177699849009514,
0.061848461627960205,
0.07789310812950134,
-0.028810463845729828,
0.008176280185580254,
-0.03505190089344978,
0.01952320896089077,
-0.004959860350936651,
0.06065010651946068,
0.02052183821797371,
0.02736245095729828,
0.046735864132642746,
0.0930057018995285,
0.009187392890453339,
0.01917368918657303,
0.039013128727674484,
0.0253651924431324,
-0.0908752977848053,
-0.03398669511079788,
-0.046636004000902176,
-0.018241634592413902,
-0.05146271362900734,
0.03608381748199463,
-0.043407101184129715,
0.03798121213912964,
0.03871354088187218,
0.01880752481520176,
-0.017426086589694023,
0.02653026022017002,
0.020089099183678627,
-0.011259549297392368,
-0.020921289920806885,
0.015903176739811897,
0.038380663841962814,
-0.015537012368440628,
0.0021949047222733498,
-0.02762875333428383,
-0.04154299199581146,
-0.03977874666452408,
-0.007518848869949579,
0.07123558223247528,
0.052760932594537735,
0.00096690229838714,
0.02401704154908657,
0.06620914489030838,
-0.05838654562830925,
0.015095951035618782,
0.011309480294585228,
0.04184257984161377,
-0.025148821994662285,
-0.019323483109474182,
-0.00012534881534520537,
-0.051429424434900284,
0.08594872057437897,
-0.0035680204164236784,
0.004192163702100515,
0.03283827006816864,
0.001016833819448948,
0.016410812735557556,
0.03528491407632828,
-0.01962307281792164,
-0.006982085295021534,
0.01650235429406166,
-0.016302628442645073,
-0.018141770735383034,
-0.0327550508081913,
-0.006898866035044193,
0.011958589777350426,
-0.10272569954395294,
-0.030524779111146927,
-0.025531630963087082,
0.02654690481722355,
0.003917540889233351,
0.038280803710222244,
0.013864307664334774,
-0.028577450662851334,
0.0026297245640307665,
-0.042941074818372726,
-0.006624243222177029,
-0.04840024933218956,
-0.001407443662174046,
-0.03408655896782875,
-0.00654518511146307,
-0.017842182889580727,
-0.03848052769899368,
-0.04876641184091568,
-0.05622284859418869,
-0.010427357628941536,
0.04840024933218956,
0.037115734070539474,
-0.017775606364011765,
0.03848052769899368,
-0.05485805496573448,
0.03411984443664551,
0.029626011848449707,
0.03312121704220772,
0.0007734178216196597,
0.0070486608892679214,
-0.010502254590392113,
0.013905917294323444,
0.04866655170917511,
-0.05422558635473251,
-0.0011536251986399293,
0.016901805996894836,
0.03858039155602455,
-0.0024674474261701107,
-0.0024466426111757755,
-0.09467008709907532,
-0.08428434282541275,
-0.005879431962966919,
-0.03771491348743439,
-0.02283533103764057,
-0.0220530703663826,
-0.014288725331425667,
0.005559038370847702,
0.0032164196018129587,
-0.05046408250927925,
0.0037906316574662924,
0.01962307281792164,
-0.04560408741235733,
-0.05136284977197647,
0.01488790288567543,
-0.00012034267274430022,
-0.005072206258773804,
-0.008109704591333866,
0.05712161213159561,
0.056988462805747986,
-0.010627083480358124,
-0.026347177103161812,
-0.010818487033247948,
0.004190083593130112,
0.017575880512595177,
0.038314089179039,
-0.041609566658735275,
-0.07416488975286484,
-0.010726946406066418,
0.0739651694893837,
-0.02283533103764057,
0.0047102030366659164,
-0.0552242174744606,
0.04993148148059845,
0.013647938147187233,
-0.022535741329193115,
-0.005367634352296591,
0.0107019804418087,
-0.01318191085010767,
-0.024716082960367203,
0.034519296139478683,
-0.008238694630563259,
0.02393382228910923,
-0.037748198956251144,
-0.02689642459154129,
0.031706489622592926,
-0.023784028366208076,
0.012316431850194931,
-0.003353731008246541,
0.022369302809238434,
-0.044405728578567505,
-0.015220779925584793,
0.02564813755452633,
0.019856086000800133,
0.03914628177881241,
-0.010535542853176594,
0.010801843367516994,
-0.0032434656750410795,
-0.043773263692855835,
-0.03734874725341797,
-0.020089099183678627,
0.052328191697597504,
-0.008812906220555305,
-0.002454964444041252,
0.05805366858839989,
-0.01318191085010767,
0.0009653419838286936,
-0.01917368918657303,
-0.02070492133498192,
0.052228327840566635,
0.004029886797070503,
0.01860779896378517,
-0.034486010670661926,
-0.029542792588472366,
0.001917160814628005,
-0.0030728664714843035,
0.019123757258057594,
0.011492562480270863,
-0.024899164214730263,
-0.018408073112368584,
-0.01007783692330122,
-0.018757592886686325,
0.02736245095729828,
0.06850599497556686,
-0.039812032133340836,
-0.02348444052040577,
0.0042171296663582325,
-0.00990307703614235,
-0.004939055535942316,
-0.06597612798213959,
0.0027025414165109396,
-0.033703748136758804,
-0.016302628442645073,
0.03661641851067543,
-0.05279421806335449,
0.0514959990978241,
-0.01457999274134636,
-0.00476845633238554,
-0.010285885073244572,
-0.057254765182733536,
0.04290778562426567,
-0.01780889555811882,
-0.04024477303028107,
0.026380466297268867,
0.017226360738277435,
-0.04450559243559837,
0.005629774648696184,
0.009378796443343163,
-0.006353781092911959,
0.036649707704782486,
-0.009320543147623539,
0.024766014888882637,
0.001779849291779101,
0.0012233213055878878,
0.018591154366731644,
0.01272420585155487,
-0.053925998508930206,
0.023168206214904785,
0.025232041254639626,
-0.005571520887315273,
0.02636382170021534,
0.047368332743644714,
0.034419432282447815,
0.030807724222540855,
0.029908956959843636,
0.009428728371858597,
0.004031966906040907,
-0.005363473203033209,
-0.019489921629428864,
-0.06441161036491394,
-0.041609566658735275,
0.032522037625312805,
-0.0028544163797050714,
-0.002704621758311987,
-0.017159786075353622,
-0.01650235429406166,
-0.039179567247629166,
0.0441061407327652,
-0.016261018812656403,
-0.02942628599703312,
0.0015551575925201178,
-0.028627382591366768,
0.031456831842660904,
0.023451151326298714,
0.04680244252085686,
0.01651899889111519,
-0.03625025600194931,
-0.015636876225471497,
0.017292935401201248,
-0.0047102030366659164,
0.06414531171321869,
0.01147591881453991,
-0.009977973997592926,
-0.00021194873261265457,
0.012432938441634178,
-0.01809184066951275,
-0.01223321259021759,
-0.0007999439258128405,
-0.00715268449857831,
-0.014322012662887573,
0.00952859129756689,
-0.029126696288585663,
-0.00022170097508933395,
-0.06417859345674515,
-0.008072256110608578,
0.030008820816874504,
0.017842182889580727,
0.045936960726976395,
-0.029276492074131966,
0.010893384926021099,
0.008754652924835682,
-0.0033682945650070906,
-0.014330334961414337,
-0.006736589130014181,
-0.019955947995185852,
0.028727244585752487,
0.020854715257883072,
0.011492562480270863,
-0.028843751177191734,
-0.05658901110291481,
0.03308792784810066,
0.009478659369051456,
0.003235143842175603,
-0.008796262554824352,
0.018374785780906677,
0.01393920462578535,
-0.012824068777263165,
-0.03240552917122841,
-0.024799302220344543,
-0.02879382111132145,
-0.008151314221322536,
0.008529961109161377,
0.0003955509455408901,
-0.053759559988975525,
-0.026214027777314186,
-0.036483269184827805,
-0.021703550592064857,
0.07010380178689957,
-0.03651655465364456,
0.012333075515925884,
-0.0034015821292996407,
-0.010835131630301476,
-0.0022677213419228792,
0.017875470221042633,
0.008596536703407764,
-0.0008358322083950043,
0.042142171412706375,
0.03887997940182686,
0.0015520368469879031,
-0.004344038665294647,
0.03240552917122841,
-0.010726946406066418,
-0.018824167549610138,
-0.0025589882861822844,
0.0412101149559021,
0.0035180889535695314,
-0.03337087482213974,
-0.010585473850369453,
-0.003909219056367874,
0.019506564363837242,
-0.03203936666250229,
-0.0019514886662364006,
0.023151563480496407,
0.014646567404270172,
0.002182421740144491,
-0.05685531347990036,
-0.05658901110291481,
0.023950466886162758,
0.009695028886198997,
0.0412101149559021,
0.04690230265259743,
0.02518210932612419,
-0.023334644734859467,
-0.03127375245094299,
-0.03267183154821396,
-0.03515176102519035,
0.006690818350762129,
0.027911698445677757,
0.0038259997963905334,
-0.00009986296208808199,
0.03578422963619232,
-0.0025797931011766195,
-0.004339877981692553,
0.007131879683583975,
-0.023417863994836807,
0.04157628118991852,
-0.029276492074131966,
0.007352410349994898,
0.004131829831749201,
0.00004414515206008218,
0.008059773594141006,
0.04793422296643257,
-0.00042545783799141645,
0.015154204331338406,
0.015170847997069359,
0.054458603262901306,
-0.019040537998080254,
-0.017592525109648705,
-0.039279431104660034,
0.0354180634021759,
0.018008621409535408,
0.050796959549188614,
0.013955849222838879,
-0.02328471466898918,
0.024399850517511368,
0.035318199545145035,
0.015711773186922073,
0.01488790288567543,
0.009836501441895962,
-0.04057765007019043,
0.022735467180609703,
-0.004402292426675558,
-0.05003134533762932,
0.008351040072739124,
0.025847863405942917,
0.03804778680205345,
0.005858627147972584,
0.04613668844103813,
0.029526149854063988,
-0.046636004000902176,
-0.0052760932594537735,
0.0014937834348529577,
0.05505777895450592,
0.006466126535087824,
0.002706702332943678,
-0.00249865441583097,
-0.004360682796686888,
0.06544353067874908,
-0.021370673552155495,
-0.029209915548563004,
0.01044400129467249,
0.023767385631799698,
0.046636004000902176,
0.0070486608892679214,
-0.012033486738801003,
-0.01165067870169878,
-0.02122087962925434,
0.032089296728372574,
-0.033620528876781464,
0.04077737778425217,
-0.011384377256035805,
0.013215198181569576,
-0.0034598354250192642,
0.058885861188173294,
0.02303505688905716,
-0.01576170325279236,
-0.0005336427129805088,
0.014946156181395054,
0.0072650304064154625,
0.006149894092231989,
-0.0178255382925272,
-0.06950461864471436,
0.044405728578567505,
0.02995888888835907,
-0.03418641909956932,
-0.0083219138905406,
0.027329163625836372,
0.0036678833421319723,
-0.022452522069215775,
-0.026779918000102043,
-0.008263659663498402,
-0.042608197778463364,
-0.004007001407444477,
0.025132179260253906,
-0.028111424297094345,
0.01907382532954216,
-0.00041921637603081763,
-0.016943415626883507,
0.019539853557944298,
-0.030291764065623283,
0.008787940256297588,
0.026496972888708115,
-0.020471906289458275,
-0.010136090219020844,
0.016793621703982353,
-0.03218916058540344,
0.007460595574229956,
0.043407101184129715,
-0.01363129448145628,
-0.010477288626134396,
0.01827492192387581,
-0.009545234963297844,
-0.004034047480672598,
0.04344038665294647,
0.021570399403572083,
0.006732427980750799,
-0.024000398814678192,
-0.05102997273206711,
0.005438370630145073,
0.004034047480672598,
-0.028644025325775146,
-0.03425299748778343,
-0.012757493183016777,
0.0428079217672348,
0.0068697393871843815,
0.005775407887995243,
-0.027279231697320938,
-0.015794992446899414,
0.03425299748778343,
0.00908752903342247,
0.02366752177476883,
0.021570399403572083,
-0.006749071646481752,
-0.010710302740335464,
0.0062081473879516125,
0.0501977801322937,
0.02538183517754078,
0.0005235003773123026,
-0.007776828017085791,
0.02834443747997284,
-0.03751518577337265,
-0.04716860502958298,
0.008804584853351116,
-0.011159686371684074,
-0.01533728651702404,
-0.03392012044787407,
0.011143041774630547,
-0.007161006331443787,
-0.02266889251768589,
-0.02142060548067093,
-0.04114354029297829,
-0.03213923051953316,
-0.03147347643971443,
0.04091052711009979,
0.023517727851867676,
0.01754259318113327,
0.005584003869444132,
-0.008579893037676811,
0.020222250372171402,
0.035318199545145035,
-0.0017756882589310408,
0.027295876294374466,
-0.025881150737404823,
-0.06494421511888504,
0.029476217925548553,
-0.03363717347383499,
0.008400972001254559,
0.027994917705655098,
-0.06308010220527649,
-0.010710302740335464,
0.03465244919061661,
0.0009606608655303717,
-0.002492413157597184,
0.028560806065797806,
-0.0013086209073662758,
-0.04963189363479614,
0.0020888003055006266,
0.005571520887315273,
-0.06397887319326401,
0.025797931477427483,
0.009204036556184292,
0.05435873940587044,
-0.08475036919116974,
0.05475819110870361,
-0.019856086000800133,
0.01044400129467249,
0.06401215493679047,
-0.06061681732535362,
0.04453888162970543,
-0.022435879334807396,
0.03283827006816864,
0.03242217376828194,
0.04094381257891655,
-0.0130071509629488,
0.019822798669338226,
-0.01182543858885765,
-0.012050130404531956,
0.056089695543050766,
-0.01429704762995243,
0.04756805673241615,
0.020089099183678627,
-0.01376444473862648,
0.04690230265259743,
0.03821422532200813,
-0.02303505688905716,
-0.007481400389224291,
0.020654989406466484,
-0.030175257474184036,
-0.0035867446567863226,
0.04823381081223488,
-0.01052722055464983,
0.028227930888533592,
0.07622873038053513,
-0.024266699329018593,
-0.004427257925271988,
0.005367634352296591,
-0.00838432740420103,
-0.01044400129467249,
0.036483269184827805,
0.010177699849009514,
0.03338751569390297,
-0.005679706111550331,
0.007002890110015869,
0.01897396333515644,
-0.01998923532664776,
-0.02511553466320038,
0.001329425722360611,
-0.020904647186398506,
-0.03185628354549408,
0.015420505777001381,
-0.030291764065623283,
-0.035218339413404465,
0.005792051553726196,
-0.042941074818372726,
0.012033486738801003,
0.0008524759905412793,
-0.0012898965505883098,
0.024416493251919746,
0.0002148093917639926,
0.020571770146489143,
0.024333275854587555,
-0.02716272510588169,
-0.029126696288585663,
-0.038380663841962814,
0.03173977881669998,
0.0014448922593146563,
0.01516252662986517,
-0.008222050033509731,
0.07270023226737976,
-0.0029938083607703447,
0.006740749813616276,
-0.03375368192791939,
-0.010227631777524948,
-0.053925998508930206,
0.006316332146525383,
-0.01719307340681553,
0.043939702212810516,
-0.011267870664596558,
0.03183964267373085,
0.023784028366208076,
0.05029764398932457,
0.052661068737506866,
-0.020821427926421165,
-0.019556496292352676,
0.017492661252617836,
0.027412382885813713,
0.04876641184091568,
0.0015863646985962987,
-0.0014407312264665961,
0.04004504904150963,
-0.02454964444041252,
-0.029110053554177284,
0.013706191442906857,
0.018391428515315056,
-0.00414639338850975,
0.024250056594610214,
-0.037914637476205826,
0.014355300925672054,
-0.028394369408488274,
-0.0009414164815098047,
0.015961429104208946,
-0.04373997822403908,
0.0017788090044632554,
-0.009753282181918621,
0.015978073701262474,
0.02814471162855625,
-0.01834149658679962,
0.0007104833493940532,
-0.027012931182980537,
0.034153133630752563,
-0.01480468362569809,
0.011134720407426357,
-0.01834149658679962,
0.03525162488222122,
0.011767185293138027,
-0.014629923738539219,
-0.037282172590494156,
-0.025797931477427483,
-0.046835727989673615,
0.01651899889111519,
0.032072655856609344,
0.004597857128828764,
-0.08301940560340881,
0.03804778680205345,
0.006000099703669548,
-0.012624342925846577,
0.016901805996894836,
-0.028544163331389427,
0.025664780288934708,
0.016860196366906166,
-0.03644997999072075,
-0.07349914312362671,
-0.01815841533243656,
0.00957852229475975,
0.025781288743019104,
-0.010169378481805325,
-0.01421382836997509,
0.02132074162364006,
-0.05109654739499092,
-0.0298590250313282,
-0.04696888104081154,
0.011409343220293522,
-0.025398479774594307,
-0.008962701074779034,
-0.02518210932612419,
-0.018940674141049385,
-0.023983754217624664,
0.029209915548563004,
-0.016818586736917496,
0.01640249229967594,
0.018474647775292397,
0.02671334147453308,
0.06963777542114258,
0.0003154525184072554,
0.004281624685972929,
0.018774237483739853,
0.025514986366033554,
0.03290484473109245,
-0.030657928436994553,
-0.07050324976444244,
0.01384766399860382,
-0.0018339416710659862,
0.015670163556933403,
0.01790875755250454,
-0.017209716141223907,
-0.03568436577916145,
-0.017409443855285645,
-0.027662040665745735,
0.007235903758555651,
-0.013498143292963505,
0.02077149599790573,
0.018374785780906677,
0.03951244428753853,
-0.04037792235612869,
-0.011001569218933582,
-0.015387218445539474,
-0.029126696288585663,
0.017659099772572517,
0.012249856255948544,
-0.06224791333079338,
0.009545234963297844,
-0.04237518459558487,
-0.009778248146176338,
-0.004083978943526745,
0.027146082371473312,
-0.008192923851311207,
0.026763273403048515,
-0.04117682948708534,
0.017342867329716682,
-0.024882521480321884,
0.04477189481258392,
0.0026796560268849134,
-0.010468967258930206,
-0.03798121213912964,
0.010943315923213959,
-0.026347177103161812,
-0.008484190329909325,
-0.03887997940182686,
0.025681424885988235,
-0.0042275320738554,
-0.018940674141049385,
0.025298617780208588,
0.011417665518820286,
-0.032888200134038925,
0.010760233737528324,
-0.0007593745831400156,
-0.030724504962563515,
-0.009054241701960564,
0.02671334147453308,
0.05622284859418869,
0.009853145107626915,
0.024533001706004143,
0.013373315334320068,
0.0236508771777153,
-0.03461915999650955,
-0.01480468362569809,
0.01678529940545559,
-0.03658313304185867,
-0.01147591881453991,
0.012990507297217846,
-0.03731546178460121,
0.06471119821071625,
-0.02276875451207161,
-0.061682023108005524,
0.013082047924399376,
-0.0007032016874291003,
0.03283827006816864,
-0.02078814059495926,
0.008629824034869671,
-0.034053269773721695,
-0.03887997940182686,
0.0077060917392373085,
0.03040827251970768,
0.006320493295788765,
-0.008417615666985512,
0.04127668961882591,
0.007073626387864351,
-0.022618960589170456,
0.010535542853176594,
0.02807813510298729,
-0.024799302220344543,
-0.059684764593839645,
-0.025498343631625175,
0.00796407088637352,
-0.008571570739150047,
-0.0036658027675002813,
0.004121427424252033,
0.002246916526928544,
-0.01917368918657303,
0.024865876883268356,
-0.01462160237133503,
0.028277862817049026,
-0.013639615848660469
] |
By and large, the professional handling of huge data collections is regarded
as a fundamental ingredient of the progress of machine learning and of its
spectacular results in related disciplines, with a growing agreement on risks
connected to the centralization of such data collections. This paper sustains
the position that the time has come for thinking of new learning protocols
where machines conquer cognitive skills in a truly human-like context centered
on environmental interactions. This comes with specific restrictions on the
learning protocol according to the collectionless principle, which states that,
at each time instant, data acquired from the environment is processed with the
purpose of contributing to update the current internal representation of the
environment, and that the agent is not given the privilege of recording the
temporal stream. Basically, there is neither permission to store the temporal
information coming from the sensors, thus promoting the development of
self-organized memorization skills at a more abstract level, instead of relying
on bare storage to simulate learning dynamics that are typical of offline
learning algorithms. This purposely extreme position is intended to stimulate
the development of machines that learn to dynamically organize the information
by following human-based schemes. The proposition of this challenge suggests
developing new foundations on computational processes of learning and reasoning
that might open the doors to a truly orthogonal competitive track on AI
technologies that avoid data accumulation by design, thus offering a framework
which is better suited concerning privacy issues, control and customizability.
Finally, pushing towards massively distributed computation, the collectionless
approach to AI will likely reduce the concentration of power in companies and
governments, thus better facing geopolitical issues. | [
-0.02958899736404419,
-0.0038750998210161924,
-0.02431435137987137,
-0.032157689332962036,
0.0442364327609539,
-0.011647358536720276,
0.012853272259235382,
0.029510563239455223,
-0.003933924715965986,
0.01758868806064129,
0.004710905719548464,
-0.06792331486940384,
0.060197629034519196,
-0.01449056901037693,
0.020529940724372864,
0.01449056901037693,
-0.004384916741400957,
-0.03704017028212547,
-0.017157305032014847,
-0.03260868415236473,
0.035922493785619736,
-0.05000128597021103,
-0.05937407538294792,
0.012755230069160461,
0.016922004520893097,
0.03943238779902458,
0.01923578977584839,
0.005377589259296656,
-0.0847080647945404,
0.07925694435834885,
0.04874635115265846,
-0.0015649913111701608,
-0.010392424650490284,
-0.04051084816455841,
-0.05447198823094368,
-0.0371578186750412,
0.019912276417016983,
-0.0040221624076366425,
-0.010951261967420578,
0.019108334556221962,
0.008426687680184841,
0.014323897659778595,
-0.03213808313012123,
-0.046785518527030945,
0.002637322759255767,
-0.012686600908637047,
-0.040393196046352386,
-0.01484351884573698,
-0.060001544654369354,
0.012647383846342564,
0.024098658934235573,
-0.08698263019323349,
0.08698263019323349,
-0.018049484118819237,
-0.07184498757123947,
0.018088700249791145,
0.004505017772316933,
-0.11074794828891754,
0.020765239372849464,
0.007941381074488163,
-0.011686575599014759,
0.014353310689330101,
-0.058589741587638855,
0.01768673025071621,
-0.001997600542381406,
-0.006024664733558893,
0.0016164631815627217,
0.04286384955048561,
0.0018591164844110608,
0.005156995262950659,
-0.03066745586693287,
-0.012372867204248905,
-0.007647255435585976,
-0.006362908985465765,
0.0131768099963665,
0.018274979665875435,
0.050589535385370255,
0.032157689332962036,
0.02568693645298481,
0.0026961478870362043,
-0.0004837746964767575,
-0.015647461637854576,
0.05294254049658775,
-0.01403957698494196,
0.07121752202510834,
-0.008157072588801384,
-0.0015698933275416493,
-0.07784514129161835,
0.0668252483010292,
-0.011245387606322765,
-0.05027580261230469,
0.035785235464572906,
-0.03137335553765297,
0.003688820404931903,
-0.00592662300914526,
-0.043687399476766586,
-0.0017537216190248728,
-0.025392809882760048,
-0.03802058473229408,
-0.02760855294764042,
-0.04251089692115784,
0.022333908826112747,
0.023510409519076347,
-0.018088700249791145,
-0.0058923084288835526,
0.00774039514362812,
0.01227482594549656,
0.032863590866327286,
0.0053530787117779255,
0.1901225447654724,
0.006034469231963158,
0.015912173315882683,
-0.0020527488086372614,
-0.0026544800493866205,
-0.059491727501153946,
0.031118448823690414,
-0.014010164886713028,
-0.04400113224983215,
0.031157664954662323,
-0.004387367982417345,
-0.019392656162381172,
0.029530171304941177,
0.05239350348711014,
-0.0055981832556426525,
-0.04505998268723488,
0.06859000027179718,
-0.002112799556925893,
-0.046550218015909195,
-0.008014911785721779,
0.04505998268723488,
-0.016598466783761978,
0.035726409405469894,
-0.005745246075093746,
0.005269743502140045,
0.008274722844362259,
-0.012157175689935684,
0.04364818334579468,
0.038687270134687424,
-0.03154982998967171,
0.009995355270802975,
0.022196650505065918,
0.01589256525039673,
-0.00792667455971241,
0.009412006475031376,
-0.0019939239136874676,
0.017490645870566368,
-0.04153047874569893,
0.037608809769153595,
-0.03739311918616295,
0.021510357037186623,
-0.02625557780265808,
0.07976675778627396,
-0.018755383789539337,
-0.011088520288467407,
0.021431924775242805,
-0.012049329467117786,
-0.04780515283346176,
-0.026686960831284523,
-0.009637502953410149,
-0.021098582074046135,
0.055295541882514954,
-0.004632472060620785,
0.011843441985547543,
0.06757036596536636,
0.046314917504787445,
0.012637579813599586,
0.028118370100855827,
-0.0034731286577880383,
-0.05639360845088959,
0.04745220020413399,
-0.05533475801348686,
-0.0023174616508185863,
0.008470806293189526,
-0.011461079120635986,
0.07694315910339355,
0.028863487765192986,
0.02007894776761532,
0.004581000190228224,
-0.03796176239848137,
-0.016392579302191734,
0.02578497678041458,
0.01067674532532692,
0.04835418611764908,
0.03566758334636688,
-0.02394179254770279,
0.041334398090839386,
0.08321782946586609,
-0.017343584448099136,
-0.012745426036417484,
-0.040099069476127625,
0.0028750740457326174,
-0.015627853572368622,
0.03056941367685795,
-0.002598106162622571,
-0.03496168553829193,
-0.0799628421664238,
-0.026373228058218956,
0.018804404884576797,
-0.008362960070371628,
0.052471939474344254,
-0.030941972509026527,
-0.0677664503455162,
0.028216412290930748,
0.05823679268360138,
-0.034804817289114,
0.014019968919456005,
-0.005725637543946505,
-0.0036471528001129627,
0.019461285322904587,
-0.030039988458156586,
-0.009578677825629711,
0.01604943349957466,
-0.0423540323972702,
-0.04204029589891434,
0.0157553069293499,
-0.024902600795030594,
0.004132459405809641,
0.022098608314990997,
-0.017372995615005493,
-0.043530531227588654,
0.009431615471839905,
-0.040628496557474136,
0.009970844723284245,
-0.05651125684380531,
-0.017657317221164703,
0.016833767294883728,
-0.027216386049985886,
0.029628213495016098,
0.02790267951786518,
-0.04788358509540558,
0.0166965089738369,
0.04451094940304756,
0.025294767692685127,
-0.013059159740805626,
0.03437343239784241,
0.005294254049658775,
0.025883018970489502,
0.007166851311922073,
-0.02003973163664341,
-0.0036201912444084883,
0.03970690444111824,
-0.007666863966733217,
-0.06757036596536636,
-0.0011201269226148725,
0.04333444684743881,
-0.006804096512496471,
-0.037942152470350266,
0.029471347108483315,
0.04768750071525574,
0.025412417948246002,
-0.01203952543437481,
0.006951159331947565,
-0.0080002062022686,
-0.02380453422665596,
-0.017461232841014862,
-0.014412135817110538,
0.017755359411239624,
-0.07839417457580566,
-0.005544260144233704,
-0.012412084266543388,
0.044158000499010086,
-0.012147371657192707,
0.0178828127682209,
0.04317758232355118,
-0.018088700249791145,
0.02376531809568405,
0.04451094940304756,
0.03241259977221489,
0.017431821674108505,
0.035961709916591644,
-0.027392862364649773,
0.02272607572376728,
0.004210892599076033,
-0.02225547470152378,
-0.00006269309960771352,
-0.02319667488336563,
0.04121674597263336,
-0.00018520696903578937,
-0.0362362265586853,
0.029275262728333473,
0.009862998500466347,
-0.058785825967788696,
0.0385696217417717,
-0.012225804850459099,
0.007480584550648928,
-0.017382800579071045,
-0.0715312510728836,
-0.028098762035369873,
-0.030373331159353256,
0.0181083083152771,
-0.008578652516007423,
-0.027647770941257477,
-0.07321757078170776,
-0.018127918243408203,
0.011784616857767105,
-0.007563920225948095,
0.016520032659173012,
-0.004240305162966251,
-0.02790267951786518,
0.02290255017578602,
-0.05227585509419441,
-0.07035475224256516,
0.015235686674714088,
0.04051084816455841,
-0.003051549196243286,
0.006230552680790424,
-0.004686395172029734,
0.007882555946707726,
-0.009029644541442394,
-0.013421913608908653,
0.02262803353369236,
-0.006181531585752964,
0.029569389298558235,
-0.03209886699914932,
0.004902087152004242,
0.09192393720149994,
0.03707938641309738,
0.01390231866389513,
-0.019402459263801575,
-0.02121623232960701,
0.006451146211475134,
0.010078690946102142,
-0.08619830012321472,
0.0035687193740159273,
-0.048707135021686554,
-0.0291576124727726,
-0.0044976649805903435,
0.03533424437046051,
-0.06247219443321228,
-0.014206248335540295,
-0.09749270230531693,
-0.01180422492325306,
-0.018735775724053383,
0.03658917546272278,
0.04953068494796753,
-0.035118550062179565,
0.017186716198921204,
0.02602027729153633,
-0.010382619686424732,
-0.009867900982499123,
-0.0183534137904644,
-0.012216000817716122,
-0.029510563239455223,
-0.0034241077955812216,
0.013882710598409176,
-0.003458422375842929,
-0.039059828966856,
0.017422016710042953,
0.03651074320077896,
-0.003014783374965191,
0.0013811630196869373,
-0.027079127728939056,
0.011019891127943993,
0.010402228683233261,
0.06200159713625908,
0.017892617732286453,
-0.02629479393362999,
-0.012323846109211445,
-0.059766244143247604,
-0.004615314770489931,
0.0171769130975008,
-0.0606682263314724,
-0.05117778852581978,
0.031059622764587402,
-0.04827575385570526,
-0.04239324852824211,
-0.01636316627264023,
-0.005857993848621845,
0.05345235764980316,
0.0498836375772953,
-0.04204029589891434,
-0.018216155469417572,
-0.03862844407558441,
0.020804457366466522,
-0.0038505892734974623,
-0.0451776348054409,
0.03113805688917637,
-0.0015073916874825954,
0.006617817562073469,
0.025510460138320923,
0.03425578400492668,
0.02602027729153633,
0.04356974735856056,
0.05121700465679169,
-0.020490722730755806,
0.023922184482216835,
0.02592223510146141,
-0.0024412393104285,
0.030589021742343903,
0.019441677257418633,
-0.00005009320011595264,
-0.022314298897981644,
-0.06423694640398026,
-0.05541319027543068,
0.02266724966466427,
0.015912173315882683,
0.02639283612370491,
-0.03617740049958229,
0.008299233391880989,
-0.04682473465800285,
0.023588841781020164,
-0.009681621566414833,
0.007779612205922604,
0.01321602612733841,
0.03519698604941368,
0.002353001618757844,
0.017569079995155334,
0.019500501453876495,
-0.0166965089738369,
0.006921746768057346,
0.028353670611977577,
-0.04427564889192581,
0.014735673554241657,
0.017804380506277084,
-0.023412367329001427,
-0.00026701056049205363,
-0.030647847801446915,
0.0017328877002000809,
-0.0017696534050628543,
0.002136084483936429,
0.010706157423555851,
-0.010196341201663017,
0.050079721957445145,
0.02323589287698269,
-0.021294666454195976,
-0.0024645242374390364,
0.023784926161170006,
-0.02168683335185051,
-0.02525555156171322,
-0.033863615244627,
0.0169318076223135,
0.0663154348731041,
-0.01641218736767769,
0.028706621378660202,
-0.007799220271408558,
-0.05819757655262947,
-0.01208854652941227,
0.018843622878193855,
0.00985319446772337,
-0.0015294511104002595,
0.022275082767009735,
0.026549702510237694,
0.005017286166548729,
-0.009784565307199955,
0.0051864078268408775,
-0.042550113052129745,
-0.007612940855324268,
-0.017049457877874374,
-0.028941921889781952,
-0.02737325429916382,
-0.06945277005434036,
0.030647847801446915,
-0.07329600304365158,
-0.058825042098760605,
0.043059930205345154,
0.035118550062179565,
0.0025000644382089376,
-0.04788358509540558,
-0.005750148091465235,
-0.03254985809326172,
0.05282488837838173,
0.06157021224498749,
0.0447070337831974,
-0.02582419477403164,
-0.02525555156171322,
0.04102066531777382,
-0.05011893808841705,
-0.061844728887081146,
0.010549291037023067,
0.012431692332029343,
0.029804687947034836,
-0.03580484166741371,
-0.05470728874206543,
0.01948089338839054,
-0.016637682914733887,
0.016216102987527847,
-0.02205939032137394,
-0.026785003021359444,
-0.019353440031409264,
-0.04082458093762398,
-0.014931757003068924,
0.020569156855344772,
-0.00321576907299459,
-0.03709899261593819,
-0.053844522684812546,
0.01449056901037693,
0.0015331277390941978,
-0.014461156912147999,
-0.010745374485850334,
-0.05211898684501648,
0.0015319021185860038,
-0.013245439156889915,
0.024196701124310493,
0.03494207561016083,
-0.025628110393881798,
0.00774039514362812,
-0.02549085207283497,
-0.01489253994077444,
0.08415903151035309,
0.04262854903936386,
-0.008343352004885674,
-0.06200159713625908,
0.03654995933175087,
0.03631465882062912,
-0.018324000760912895,
-0.01439252682030201,
0.046079616993665695,
-0.020549548789858818,
0.04647178575396538,
0.03321653977036476,
0.0166965089738369,
0.030039988458156586,
-0.0009130137041211128,
-0.005759952124208212,
0.027549728751182556,
0.02154957503080368,
-0.00032752068364061415,
-0.018853425979614258,
0.0171769130975008,
0.012853272259235382,
0.0131768099963665,
0.03839314356446266,
-0.03345184028148651,
0.03351066634058952,
-0.040667712688446045,
0.05627595633268356,
0.051491521298885345,
-0.009392398409545422,
0.01929461397230625,
-0.08102169632911682,
-0.007563920225948095,
0.03692251816391945,
-0.05239350348711014,
-0.028157588094472885,
0.0001271478831768036,
-0.027451686561107635,
0.0630212277173996,
-0.004647178575396538,
0.013274851255118847,
-0.008755126968026161,
-0.020294640213251114,
0.04317758232355118,
0.03166748210787773,
0.047256119549274445,
0.008397274650633335,
-0.0075737242586910725,
0.015363140031695366,
0.0011844667606055737,
0.013019942678511143,
-0.005269743502140045,
0.019304418936371803,
-0.012127762660384178,
-0.03645191714167595,
-0.005357981193810701,
-0.015961194410920143,
0.01933383010327816,
0.06800174713134766,
-0.05094248801469803,
-0.00985319446772337,
-0.00032629515044391155,
-0.02605949342250824,
-0.004267266485840082,
-0.027157561853528023,
0.020069144666194916,
-0.011784616857767105,
-0.0190593134611845,
0.04996206983923912,
0.05490337312221527,
-0.0004218858666718006,
0.022412341088056564,
-0.022216258570551872,
-0.01877499371767044,
-0.00877473596483469,
0.008260016329586506,
0.015088623389601707,
0.05443277209997177,
-0.004066281020641327,
-0.009186510927975178,
-0.010412032715976238,
-0.01712789200246334,
0.022333908826112747,
-0.02125544846057892,
0.021000539883971214,
0.054315123707056046,
0.02639283612370491,
0.019500501453876495,
-0.009309062734246254,
-0.029039962217211723,
-0.009108077734708786,
-0.04455016553401947,
-0.04643256589770317,
0.050785619765520096,
-0.031314533203840256,
-0.007514899130910635,
-0.01267679687589407,
-0.011833637952804565,
0.022314298897981644,
0.012235608883202076,
0.04274619743227959,
-0.007245284505188465,
0.043687399476766586,
0.034412648528814316,
0.029471347108483315,
-0.012049329467117786,
0.0017414663452655077,
0.007059005089104176,
0.014549394138157368,
0.01302974671125412,
-0.024020226672291756,
-0.012196392752230167,
0.04192264750599861,
-0.004142263438552618,
0.010559095069766045,
-0.03235377371311188,
0.06882529705762863,
-0.014745477586984634,
0.04568745195865631,
-0.00790216401219368,
-0.04168734699487686,
-0.007916870526969433,
0.007083515636622906,
0.03331458196043968,
0.018225958570837975,
0.03086354024708271,
0.008862973190844059,
0.018088700249791145,
0.0223535168915987,
-0.024706518277525902,
-0.006902138236910105,
-0.002437562681734562,
-0.005818777251988649,
-0.001386065036058426,
0.01642199046909809,
-0.024196701124310493,
-0.0091767068952322,
-0.024765342473983765,
0.00851492490619421,
0.03584406152367592,
-0.005049149505794048,
-0.021941741928458214,
-0.0681978315114975,
0.006990375928580761,
-0.016735725104808807,
0.029059572145342827,
0.004877576604485512,
0.014647435396909714,
-0.029706647619605064,
-0.011461079120635986,
0.05447198823094368,
0.026981087401509285,
0.027059519663453102,
-0.022549599409103394,
0.033804792910814285,
0.023157458752393723,
0.0057795606553554535,
-0.05062875524163246,
0.014961169101297855,
-0.004759926348924637,
-0.0036741141229867935,
0.059256426990032196,
0.006358006969094276,
0.020824065431952477,
-0.006392321549355984,
0.048471834510564804,
0.017961246892809868,
-0.013588584959506989,
0.019686780869960785,
0.04713846743106842,
0.002301529748365283,
0.06376634538173676,
0.002649578033015132,
-0.016245516017079353,
-0.020020123571157455,
0.006853117607533932,
-0.03541267663240433,
-0.042079515755176544,
0.04286384955048561,
0.017941638827323914,
-0.0011207396164536476,
-0.021941741928458214,
0.020588764920830727,
-0.007475682534277439,
0.018882839009165764,
-0.03456951677799225,
-0.06827626377344131,
-0.009014938026666641,
0.0024363372940570116,
0.055021025240421295,
-0.023784926161170006,
0.0008505120640620589,
-0.019373048096895218,
-0.015108232386410236,
-0.03184395655989647,
0.0027182071935385466,
-0.010117907077074051,
0.007965891622006893,
-0.026039885357022285,
0.024020226672291756,
0.005024638958275318,
-0.01664748787879944,
-0.02074563130736351,
0.005279547534883022,
-0.029628213495016098,
0.036765653640031815,
0.0032108670566231012,
0.05184447020292282,
0.013549367897212505,
0.009485538117587566,
-0.013676822185516357,
0.017088675871491432,
0.00680899852886796,
0.03741272911429405,
0.0018934310646727681,
0.033804792910814285,
0.0338832251727581,
0.023157458752393723,
-0.00910317525267601,
-0.004230501130223274,
0.0324518159031868,
0.00950514618307352,
-0.027216386049985886,
-0.012980726547539234,
0.02784385345876217,
-0.04286384955048561,
-0.02390257641673088,
0.022784899920225143,
0.02619675174355507,
0.02376531809568405,
0.014814106747508049,
-0.00832374393939972,
0.08039422333240509,
-0.005377589259296656,
-0.007039397023618221,
0.013225830160081387,
0.04639334976673126,
-0.02225547470152378,
0.0010226978920400143,
-0.0024559455923736095,
0.023686883971095085,
-0.000002652105649758596,
0.044667817652225494,
0.0011605691397562623,
0.019873060286045074,
-0.008970819413661957,
-0.0016348459757864475,
-0.016353361308574677,
-0.0007824956555850804,
0.034079309552907944,
-0.05164838954806328,
0.007671765983104706,
0.019686780869960785,
-0.004772181622684002,
0.05521710589528084,
-0.013461130671203136,
-0.014755281619727612,
-0.0027427177410572767,
0.006975669879466295,
0.008382569067180157,
0.006951159331947565,
0.0005949907936155796,
0.019490698352456093,
0.024706518277525902,
-0.002656931057572365,
0.0423540323972702,
0.03317732363939285,
-0.010666941292583942,
-0.020235814154148102,
0.018412237986922264,
0.005328568629920483,
0.01914755068719387,
0.025373201817274094,
-0.03235377371311188,
0.09482596814632416,
-0.034785207360982895,
-0.014549394138157368,
0.03741272911429405,
-0.004551587626338005,
-0.019637759774923325,
-0.014696456491947174,
-0.02521633543074131,
-0.02766737900674343,
0.03305967524647713,
-0.019108334556221962,
0.03207925707101822,
-0.015088623389601707,
-0.0080002062022686,
0.016833767294883728,
-0.027863461524248123,
0.011068912222981453,
0.03278515860438347,
0.033196933567523956,
0.006720761302858591,
0.022235866636037827,
-0.018363216891884804,
0.017667122185230255,
-0.022824116051197052,
-0.02384375035762787,
0.011088520288467407,
-0.04051084816455841,
-0.014225856401026249,
0.06411929428577423,
-0.01136303786188364,
-0.015382749028503895,
0.04804045334458351,
-0.06968806684017181,
0.010402228683233261,
-0.01957893557846546,
-0.025000642985105515,
-0.0064070275984704494,
0.00651487335562706,
-0.0009001457365229726,
0.03109883889555931,
0.0010472083231434226,
0.007181557361036539,
0.012412084266543388,
-0.0030613532289862633,
-0.03258907422423363,
0.00835315603762865,
-0.03778528794646263,
0.0013100827345624566,
0.027353644371032715,
-0.0644722506403923,
0.02413787692785263,
0.014480764977633953,
-0.04462859779596329,
0.022314298897981644,
0.025647718459367752,
0.019108334556221962,
0.049413036555051804,
-0.026451660320162773,
0.03992259502410889,
0.01830439269542694,
-0.061374127864837646,
0.0329224169254303,
-0.0606682263314724,
0.022137824445962906,
-0.0031495909206569195,
-0.01121597457677126,
0.02954977937042713,
0.02107897400856018,
-0.011921875178813934,
-0.009745349176228046,
-0.010059081949293613,
-0.0009963491465896368,
-0.02498103491961956,
0.0016544543905183673,
-0.00867669377475977,
0.012284629978239536,
0.017108283936977386,
0.036432310938835144,
0.02460847608745098,
-0.0007353130495175719,
0.027726203203201294,
0.03413813188672066,
-0.052432723343372345,
0.0018456357065588236,
0.02407905086874962,
0.03980494663119316,
-0.022843725979328156,
0.013421913608908653,
0.036765653640031815,
0.006343300454318523,
-0.041099097579717636,
-0.0157553069293499,
0.017157305032014847,
-0.0399814210832119,
-0.023961400613188744,
-0.02360844984650612,
-0.02911839634180069,
-0.04921695217490196,
0.03170669823884964,
-0.03211847320199013,
-0.03696173429489136,
0.028334062546491623,
0.009485538117587566,
0.006818803027272224,
0.01427487749606371,
0.0036471528001129627,
-0.007397249341011047,
-0.03398126736283302,
0.009382594376802444,
0.025510460138320923,
0.03062823973596096,
-0.002133633242920041,
0.0409422293305397,
-0.011402253992855549,
-0.04388348385691643,
-0.04545215144753456,
0.04906008765101433,
0.009495342150330544,
0.0037942153867334127,
0.009642405435442924,
-0.009907118044793606,
0.02229469083249569,
0.008372764103114605,
0.01545137818902731,
-0.0320008248090744,
0.00029504435951821506,
0.018598517403006554,
-0.0044314865954220295,
-0.003330968087539077,
-0.02474573440849781,
0.000977966352365911,
0.06153099611401558,
-0.027275212109088898,
-0.012666992843151093,
-0.028726229444146156,
-0.01862793043255806,
0.030706671997904778,
-0.01792203076183796,
-0.035216592252254486,
-0.0036299952771514654,
0.0037991174031049013,
-0.07655099034309387,
0.0157553069293499,
0.002764777047559619,
-0.009495342150330544,
-0.020353464409708977,
0.02300059236586094,
0.0011238034348934889,
0.04949146881699562,
0.03674604371190071,
-0.04051084816455841,
0.028157588094472885,
-0.028863487765192986,
0.012882684357464314,
-0.0005851866444572806,
-0.005078562069684267,
-0.0013909671688452363,
-0.013274851255118847,
-0.009755153208971024,
0.02672617882490158,
0.049334604293107986,
0.03964807838201523,
0.05721715837717056,
0.005985448136925697,
-0.04011867940425873,
-0.018882839009165764,
-0.06051136180758476,
0.011402253992855549,
-0.05039345473051071,
-0.012323846109211445,
0.004745220299810171,
-0.0030858637765049934,
0.011735595762729645,
0.02094171568751335,
0.037706851959228516,
-0.017745554447174072,
-0.011019891127943993,
-0.01531411986798048,
-0.0013689077459275723,
0.0033285170793533325,
0.03674604371190071,
-0.0103532075881958,
0.011970896273851395,
-0.019412264227867126,
-0.018098505213856697,
-0.011470883153378963,
-0.038922570645809174,
0.06176629662513733,
0.002585850888863206,
0.03411852568387985,
-0.03664800152182579,
-0.01651022955775261,
0.015549419447779655,
0.05541319027543068,
-0.01403957698494196,
-0.023784926161170006,
-0.002311334013938904,
0.006789390463382006,
0.01778477057814598,
-0.012823859229683876,
-0.020863281562924385,
0.011794420890510082,
-0.00921592302620411,
-0.017559275031089783,
-0.003017234615981579,
-0.014814106747508049,
-0.00933847576379776,
-0.002480455907061696,
0.0012359386309981346,
-0.006642327643930912,
-0.015118036419153214,
-0.001177113619633019,
-0.04125596210360527,
-0.006755075883120298,
-0.016059236600995064,
0.025235943496227264,
-0.0409422293305397,
0.021098582074046135,
0.0018689206335693598,
0.01289248839020729,
0.04364818334579468,
-0.028804663568735123,
-0.06909982115030289,
0.0050074816681444645,
0.012745426036417484,
0.005196212325245142,
0.004737867042422295,
0.002346874214708805,
-0.021902523934841156,
-0.04125596210360527,
0.0007543086539953947,
0.051256220787763596,
0.009426712989807129,
0.004512371029704809,
0.05568770691752434,
0.023451583459973335,
-0.043020714074373245,
0.04568745195865631,
0.005931525025516748,
0.02168683335185051,
0.0002166109625250101,
0.014882735908031464,
-0.01286307629197836,
-0.012431692332029343,
-0.0447070337831974,
-0.03364792466163635,
-0.01938285119831562,
-0.05745245888829231,
0.033706750720739365,
-0.037608809769153595,
0.012353259138762951,
-0.027922287583351135
] |
DNA exhibits remarkable potential as a data storage solution due to its
impressive storage density and long-term stability, stemming from its inherent
biomolecular structure. However, developing this novel medium comes with its
own set of challenges, particularly in addressing errors arising from storage
and biological manipulations. These challenges are further conditioned by the
structural constraints of DNA sequences and cost considerations. In response to
these limitations, we have pioneered a novel compression scheme and a
cutting-edge Multiple Description Coding (MDC) technique utilizing neural
networks for DNA data storage. Our MDC method introduces an innovative approach
to encoding data into DNA, specifically designed to withstand errors
effectively. Notably, our new compression scheme overperforms classic image
compression methods for DNA-data storage. Furthermore, our approach exhibits
superiority over conventional MDC methods reliant on auto-encoders. Its
distinctive strengths lie in its ability to bypass the need for extensive model
training and its enhanced adaptability for fine-tuning redundancy levels.
Experimental results demonstrate that our solution competes favorably with the
latest DNA data storage methods in the field, offering superior compression
rates and robust noise resilience. | [
-0.010799352079629898,
-0.0004111316811759025,
-0.015530664473772049,
-0.007563064340502024,
0.06792686879634857,
0.02108863741159439,
-0.012118491344153881,
0.03028743341565132,
-0.012523027136921883,
0.027719510719180107,
0.05350428447127342,
-0.05586114525794983,
0.024694284424185753,
-0.005382087547332048,
0.006182365119457245,
-0.014396204613149166,
-0.002260125009343028,
-0.02685767225921154,
0.006780375260859728,
-0.053856052458286285,
0.03236287832260132,
-0.020367508754134178,
-0.02944318577647209,
-0.009163619950413704,
0.013543161563575268,
0.05505207180976868,
-0.011775515042245388,
-0.004443300422281027,
-0.059519555419683456,
0.04034806787967682,
0.027737097814679146,
0.010333256796002388,
-0.022882666438817978,
-0.02685767225921154,
-0.05304698273539543,
-0.006010877434164286,
0.0292848888784647,
0.024008331820368767,
0.014607267454266548,
0.041966211050748825,
0.07366073131561279,
-0.026998380199074745,
-0.008992131799459457,
0.038800280541181564,
0.05966026708483696,
-0.004770886618643999,
-0.004223443567752838,
-0.014088406227529049,
0.009348299354314804,
-0.041860681027173996,
-0.030234668403863907,
-0.03301365673542023,
-0.011467715725302696,
-0.036760009825229645,
-0.02006850391626358,
0.07422356307506561,
0.01998056098818779,
0.017263133078813553,
0.08540985733270645,
0.01110715139657259,
-0.007875260896980762,
0.018362415954470634,
0.02694561518728733,
0.032398056238889694,
-0.0016148461727425456,
-0.037322841584682465,
0.017535755410790443,
-0.021405231207609177,
0.034332793205976486,
0.001566477701999247,
-0.043725065886974335,
-0.010236519388854504,
-0.02648831345140934,
-0.00009673686872702092,
0.00416188407689333,
-0.014141171239316463,
-0.006516547407954931,
0.09490766376256943,
0.029988428577780724,
0.040488775819540024,
0.03130756691098213,
0.0054788244888186455,
-0.03989076614379883,
-0.002963665872812271,
0.06113770231604576,
-0.02108863741159439,
-0.00027990483795292675,
-0.06050451472401619,
0.004172876942902803,
-0.01606711372733116,
-0.04164962098002434,
0.011353390291333199,
-0.010913677513599396,
-0.04136820137500763,
-0.030252257362008095,
0.08182179927825928,
-0.03114927187561989,
0.007703772280365229,
0.010394816286861897,
-0.014528119005262852,
0.01297153439372778,
0.04295117035508156,
-0.014791946858167648,
-0.02740291692316532,
-0.016304560005664825,
-0.05188613757491112,
0.01987502910196781,
0.04625781252980232,
0.022372599691152573,
0.10088776051998138,
0.004383938852697611,
-0.014000463299453259,
-0.003673802362754941,
-0.006710020825266838,
-0.007193705532699823,
-0.047172416001558304,
-0.0369710735976696,
-0.004634575452655554,
0.019927794113755226,
-0.07387179136276245,
-0.0184855367988348,
0.010007868520915508,
-0.07703772187232971,
0.005808609072118998,
-0.015003008767962456,
0.08892756700515747,
-0.05603703111410141,
-0.056001853197813034,
0.03996112197637558,
-0.013103448785841465,
-0.08041471987962723,
-0.030410554260015488,
0.019681556150317192,
-0.03486045077443123,
0.018362415954470634,
0.029707012698054314,
-0.03813191503286362,
-0.039538998156785965,
0.03996112197637558,
-0.02154593914747238,
-0.002904304536059499,
-0.034244850277900696,
-0.0043619535863399506,
0.024764638394117355,
0.03102615289390087,
0.033400602638721466,
-0.023005785420536995,
0.08069613575935364,
-0.024324925616383553,
0.028124045580625534,
-0.06919324398040771,
-0.008438093587756157,
-0.014598472975194454,
-0.016691507771611214,
0.030621616169810295,
0.05772552639245987,
0.016278177499771118,
0.0039266375824809074,
-0.03343578055500984,
-0.031747281551361084,
-0.00794121716171503,
-0.026453137397766113,
0.01147651020437479,
0.07886692881584167,
0.04221245273947716,
0.02907382696866989,
0.05188613757491112,
-0.002199664479121566,
-0.03503633663058281,
0.03848368674516678,
0.06859523802995682,
0.016093498095870018,
0.00872830394655466,
-0.008433695882558823,
-0.045132145285606384,
0.021862532943487167,
0.0369710735976696,
-0.01199537143111229,
0.0014235710259526968,
-0.026822496205568314,
-0.05128812789916992,
0.023252025246620178,
0.03398102521896362,
0.018854895606637,
0.052660033106803894,
0.05420782417058945,
0.022337421774864197,
-0.006529738660901785,
0.044006481766700745,
-0.017412636429071426,
0.04203656688332558,
-0.02527470514178276,
0.029056238010525703,
-0.03086785599589348,
0.03125480189919472,
-0.032099053263664246,
-0.037322841584682465,
-0.020279565826058388,
0.020050914958119392,
-0.01077296957373619,
-0.05269521102309227,
-0.057866234332323074,
0.0412626713514328,
0.02351585403084755,
-0.025239529088139534,
-0.01218005083501339,
-0.03169451653957367,
0.0011174207320436835,
0.0095769502222538,
0.0005012728506699204,
-0.012373524717986584,
-0.005676695145666599,
-0.054981719702482224,
-0.049388568848371506,
0.04562462493777275,
0.016753066331148148,
-0.08308817446231842,
-0.03245082125067711,
-0.025819949805736542,
-0.0019226452568545938,
0.020859986543655396,
-0.0017236751737073064,
0.06381115317344666,
-0.027737097814679146,
-0.03533533960580826,
-0.05790141224861145,
-0.03932793438434601,
0.02165147103369236,
-0.025204351171851158,
-0.0041684797033667564,
0.022618839517235756,
0.03011154942214489,
0.019646378234028816,
-0.023463087156414986,
0.02230224572122097,
-0.061102524399757385,
0.010438787750899792,
-0.01361351553350687,
-0.0628613755106926,
0.04692617431282997,
-0.04323258623480797,
0.032485999166965485,
0.011467715725302696,
-0.015134923160076141,
0.01822170801460743,
0.04822772741317749,
-0.057127516716718674,
0.04171997308731079,
0.028581347316503525,
-0.015161305665969849,
0.009805601090192795,
0.011784309521317482,
0.030093960464000702,
0.03382272645831108,
-0.020420273765921593,
-0.014818329364061356,
0.016849802806973457,
-0.01718398556113243,
-0.0071365428157150745,
-0.040946077555418015,
0.015345985069870949,
-0.05234343931078911,
0.006815552245825529,
0.05874566361308098,
-0.02733256295323372,
-0.0024623931385576725,
-0.017025688663125038,
0.03352372348308563,
0.02536264806985855,
0.053222864866256714,
0.01802823506295681,
-0.029144180938601494,
-0.011854663491249084,
-0.01792270317673683,
0.017781995236873627,
-0.043900951743125916,
0.02369173802435398,
0.009744040668010712,
0.014448970556259155,
0.026787318289279938,
0.04826290160417557,
-0.009603332728147507,
0.013173802755773067,
-0.010517936199903488,
-0.03148345276713371,
-0.07485675066709518,
-0.05568525940179825,
-0.019452905282378197,
-0.06117287650704384,
-0.02444804459810257,
0.00390685023739934,
-0.0011432538740336895,
-0.021704236045479774,
-0.02212635986506939,
-0.0030911825597286224,
-0.0593084953725338,
-0.03975005820393562,
-0.02557370997965336,
-0.01021893136203289,
-0.002552534220740199,
-0.06247442960739136,
-0.02082481049001217,
-0.013710252940654755,
0.01717519201338291,
-0.015583430416882038,
-0.019769499078392982,
-0.0029065031558275223,
0.0841434895992279,
-0.014651238918304443,
0.010614672675728798,
0.05160472169518471,
0.034983567893505096,
-0.008253414183855057,
-0.04699653014540672,
0.025397825986146927,
0.0005089678452350199,
0.01934737339615822,
-0.007114557083696127,
-0.017307104542851448,
0.0011207186616957188,
0.03538810461759567,
0.02436010167002678,
-0.06831381469964981,
0.0292848888784647,
0.019998149946331978,
0.0045026615262031555,
-0.007585050072520971,
0.027174266055226326,
-0.02759638987481594,
0.03596852719783783,
-0.057373758405447006,
-0.04404165968298912,
-0.014448970556259155,
0.03932793438434601,
0.011256653815507889,
-0.008499653078615665,
-0.08787225186824799,
0.023551030084490776,
-0.02501087822020054,
-0.020930340513586998,
-0.004225642420351505,
-0.019189076498150826,
-0.05733858048915863,
-0.00455102976411581,
0.023726915940642357,
0.0077653322368860245,
-0.07031890749931335,
0.011133533902466297,
-0.024324925616383553,
-0.0658162459731102,
0.0010162867838516831,
0.007316824980080128,
-0.030041195452213287,
0.011608424596488476,
0.0016522217774763703,
-0.05192131549119949,
-0.002759199356660247,
0.02126452326774597,
-0.03735801950097084,
-0.005535987205803394,
-0.020015737041831017,
-0.0000284782890958013,
-0.017245545983314514,
-0.019681556150317192,
-0.025960657745599747,
-0.024606341496109962,
-0.022917844355106354,
0.012109696865081787,
0.02249571867287159,
-0.031096506863832474,
0.026083776727318764,
0.047735247761011124,
-0.0701078474521637,
0.007892848923802376,
-0.06810275465250015,
-0.0076158298179507256,
0.06282620131969452,
-0.004106919746845961,
0.063142791390419,
0.06416292488574982,
0.060539692640304565,
0.06606248766183853,
-0.024500811472535133,
-0.009840778075158596,
-0.00436635036021471,
0.007633418310433626,
0.004836843349039555,
0.005777829326689243,
0.0011740338522940874,
0.054700303822755814,
-0.040488775819540024,
-0.02275954745709896,
-0.009146030992269516,
0.010174959897994995,
0.05987132713198662,
0.032749827951192856,
-0.008781068958342075,
0.02462393045425415,
0.010764175094664097,
-0.03566952049732208,
-0.05705716460943222,
-0.010728998109698296,
-0.05705716460943222,
-0.012980328872799873,
0.000073239702032879,
0.021071048453450203,
-0.004814857617020607,
-0.013710252940654755,
0.006995834410190582,
0.018837306648492813,
-0.03975005820393562,
0.01203054841607809,
0.05392640829086304,
-0.038800280541181564,
0.006978245917707682,
-0.005747049581259489,
-0.006569312885403633,
0.02034991979598999,
0.0030186299700289965,
0.0007002429920248687,
0.03310159593820572,
-0.00860078725963831,
0.03301365673542023,
-0.016568386927247047,
-0.0013850961113348603,
0.011063179932534695,
-0.023568619042634964,
-0.020930340513586998,
-0.005083082709461451,
-0.005386484786868095,
0.018643833696842194,
0.02471187338232994,
-0.015583430416882038,
-0.0042190467938780785,
-0.042142096906900406,
-0.03971488028764725,
0.00283614918589592,
-0.04682064428925514,
-0.01876695267856121,
0.04682064428925514,
-0.011274242773652077,
0.035651933401823044,
0.013173802755773067,
-0.047453831881284714,
-0.07499745488166809,
-0.026558667421340942,
-0.04252904653549194,
-0.011889840476214886,
-0.06296690553426743,
-0.02341032214462757,
-0.035634346306324005,
0.029583893716335297,
-0.02369173802435398,
-0.0449562594294548,
0.03399861231446266,
-0.026611432433128357,
-0.0768970176577568,
-0.015038185752928257,
0.04435824975371361,
-0.015161305665969849,
0.02184494398534298,
-0.007321222219616175,
-0.01147651020437479,
-0.03095579892396927,
0.0296542476862669,
0.047453831881284714,
0.00925156194716692,
-0.054594770073890686,
-0.00455102976411581,
0.02147558517754078,
0.041966211050748825,
-0.04766489192843437,
0.002002893015742302,
-0.011819486506283283,
-0.023568619042634964,
-0.04217727482318878,
0.011889840476214886,
-0.049107152968645096,
-0.0006469278014265001,
-0.002974658738821745,
0.019839853048324585,
-0.03187040239572525,
-0.0048456378281116486,
-0.013991668820381165,
-0.019927794113755226,
0.04720759019255638,
0.026066189631819725,
-0.014730386435985565,
0.03542328253388405,
-0.04249386861920357,
-0.01004304550588131,
-0.03813191503286362,
-0.005030317232012749,
-0.04506179317831993,
-0.038061559200286865,
-0.0023810460697859526,
-0.017535755410790443,
-0.053856052458286285,
-0.001562080578878522,
0.0303929653018713,
-0.0027042352594435215,
-0.022267067804932594,
-0.010060634464025497,
0.030639205127954483,
-0.012742883525788784,
0.014193937182426453,
0.033506132662296295,
0.006243925075978041,
-0.021915297955274582,
-0.0011784309754148126,
-0.023551030084490776,
-0.008794261142611504,
-0.026875261217355728,
-0.002559129847213626,
-0.04361953213810921,
0.04249386861920357,
-0.007483915891498327,
-0.007778523489832878,
0.032099053263664246,
0.041227493435144424,
-0.0029834529850631952,
0.028194399550557137,
0.009137237444519997,
0.06532377004623413,
-0.03654894977807999,
-0.016111085191369057,
0.036865539848804474,
-0.021229345351457596,
-0.014176348224282265,
0.006652858108282089,
-0.0035199029371142387,
0.048649851232767105,
0.007664198521524668,
-0.02369173802435398,
-0.053961582481861115,
-0.0015389956533908844,
0.008117103017866611,
0.02321684919297695,
-0.004175075329840183,
-0.004036565776914358,
-0.01653321087360382,
0.024588752537965775,
-0.02175700105726719,
0.013631104491651058,
-0.02529229409992695,
-0.00845568161457777,
0.04942374676465988,
-0.06307243555784225,
0.011626012623310089,
-0.023902801796793938,
-0.0220384169369936,
-0.06310761719942093,
0.029794955626130104,
-0.02750844694674015,
-0.009700070135295391,
-0.02880999818444252,
0.016841009259223938,
-0.0216690581291914,
0.012997917830944061,
-0.018890071660280228,
-0.005852580536156893,
0.060821108520030975,
-0.06282620131969452,
-0.017430225387215614,
0.0315713956952095,
-0.0090580889955163,
0.006877111736685038,
0.052378617227077484,
0.010166165418922901,
-0.01950567029416561,
-0.015820875763893127,
-0.05607220530509949,
-0.023814858868718147,
0.0003528697125148028,
0.04147373512387276,
-0.0179314985871315,
0.036302708089351654,
-0.02603101171553135,
0.010605878196656704,
0.00399699155241251,
0.015574635937809944,
-0.06265031546354294,
-0.03178245946764946,
0.022724369540810585,
0.035546403378248215,
-0.008741495199501514,
-0.03403379023075104,
-0.013015505857765675,
-0.0003600150521378964,
-0.014044434763491154,
-0.03160657361149788,
0.006951862946152687,
-0.027666743844747543,
0.02993566356599331,
-0.012004165910184383,
0.044393427670001984,
0.01802823506295681,
0.04759453982114792,
0.05378570035099983,
0.002675653900951147,
-0.02341032214462757,
0.01766766980290413,
0.01830965094268322,
0.018890071660280228,
-0.023164082318544388,
-0.005056699737906456,
0.01857347972691059,
-0.0005457937950268388,
0.0037023837212473154,
0.03206387534737587,
-0.012927562929689884,
-0.01110715139657259,
0.047066882252693176,
-0.0007508100243285298,
-0.004045359790325165,
-0.005742652341723442,
0.004687340930104256,
0.0003242883540224284,
-0.042986348271369934,
-0.01830965094268322,
0.011045591905713081,
-0.005676695145666599,
0.04147373512387276,
-0.02481740340590477,
0.031360335648059845,
0.01941772736608982,
-0.022073594853281975,
-0.01932978443801403,
0.01082573551684618,
-0.030516084283590317,
-0.009717658162117004,
0.016797037795186043,
0.0179314985871315,
-0.038800280541181564,
-0.019769499078392982,
-0.05030317232012749,
-0.009550566785037518,
-0.011362184770405293,
-0.0036694053560495377,
-0.02601342275738716,
-0.0703892633318901,
0.031729694455862045,
-0.022988198325037956,
0.021721825003623962,
0.0012059130240231752,
0.007448738906532526,
-0.02314649522304535,
0.027825040742754936,
0.04193103685975075,
0.029038649052381516,
0.03130756691098213,
-0.01896042563021183,
-0.036760009825229645,
0.060082390904426575,
0.019751910120248795,
-0.047911133617162704,
0.11172229051589966,
-0.009022912010550499,
0.011098356917500496,
0.04143855720758438,
0.028229577466845512,
0.03507151082158089,
-0.01519648265093565,
0.04080536961555481,
0.035282574594020844,
0.012232816778123379,
-0.0011168711353093386,
0.039538998156785965,
0.012382319197058678,
0.016612358391284943,
0.026435548439621925,
-0.015082157216966152,
-0.01904836855828762,
0.0187845416367054,
0.0550168938934803,
-0.027490859851241112,
0.01272529549896717,
0.06032862886786461,
-0.024922935292124748,
-0.0097616296261549,
0.006978245917707682,
-0.0032714649569243193,
-0.02006850391626358,
0.014598472975194454,
-0.0593084953725338,
-0.003843091893941164,
0.030058782547712326,
-0.00675838952884078,
-0.060539692640304565,
0.005988891702145338,
-0.008921777829527855,
-0.01578569784760475,
0.021158991381525993,
0.03459662199020386,
0.01618143916130066,
0.045202501118183136,
-0.0029196946416050196,
-0.027825040742754936,
0.028229577466845512,
-0.03605647012591362,
-0.005549178458750248,
0.008556815795600414,
0.008750289678573608,
-0.03392825648188591,
-0.01492386031895876,
0.039363112300634384,
0.026646610349416733,
-0.0029196946416050196,
-0.013208979740738869,
0.0103156678378582,
0.01569775491952896,
0.056459154933691025,
0.04143855720758438,
0.01635732501745224,
0.05290627479553223,
0.004190465435385704,
-0.012980328872799873,
-0.008297384716570377,
-0.022372599691152573,
0.009383476339280605,
0.016937745735049248,
0.026558667421340942,
0.005360101815313101,
-0.05885119363665581,
0.004977551754564047,
0.006221939343959093,
-0.019101133570075035,
-0.0075278873555362225,
-0.013543161563575268,
0.005566766951233149,
0.004581809975206852,
-0.008961351588368416,
-0.0184855367988348,
0.0103156678378582,
0.0009124045609496534,
-0.028581347316503525,
0.02555612102150917,
0.05853459984064102,
-0.042704928666353226,
0.03299606591463089,
0.029337653890252113,
-0.03310159593820572,
-0.013877343386411667,
-0.03887063264846802,
-0.004377343226224184,
0.02015644498169422,
-0.006688035558909178,
0.04861467331647873,
0.02006850391626358,
0.037393197417259216,
0.02777227573096752,
-0.0096121272072196,
0.05920296534895897,
-0.0823846384882927,
-0.025116408243775368,
0.029495950788259506,
0.030691970139741898,
0.016981717199087143,
0.05083082616329193,
-0.030498497188091278,
0.024131450802087784,
0.010816941037774086,
0.0027833834756165743,
0.014176348224282265,
0.03957417234778404,
-0.05047905817627907,
0.007417959161102772,
0.04062948375940323,
0.0106850266456604,
-0.02052580565214157,
0.011168710887432098,
0.030041195452213287,
-0.005263364873826504,
-0.029249710962176323,
0.0023546633310616016,
-0.021897708997130394,
-0.024606341496109962,
-0.006736403796821833,
-0.02954871580004692,
0.04143855720758438,
-0.0181161779910326,
0.006674843840301037,
-0.015970377251505852,
0.041508909314870834,
0.002589909825474024,
-0.014475353062152863,
-0.00160275399684906,
0.0110543854534626,
-0.01073779258877039,
0.00836334191262722,
-0.017632493749260902,
-0.0029834529850631952,
0.028387874364852905,
0.0015499885194003582,
0.004298194777220488,
0.0210006944835186,
-0.009190002456307411,
0.003247280837967992,
-0.009383476339280605,
-0.040383245795965195,
0.018151354044675827,
-0.02712150104343891,
0.0044938670471310616,
0.00005967043398413807,
-0.025608887895941734,
0.003832099260762334,
-0.012813238427042961,
-0.0071365428157150745,
0.032661885023117065,
-0.028282342478632927,
-0.016893774271011353,
-0.030691970139741898,
-0.0006254917825572193,
0.015662578865885735,
0.038624394685029984,
0.021352464333176613,
-0.03911687061190605,
0.01580328680574894,
-0.029144180938601494,
0.03894098848104477,
-0.036830365657806396,
-0.009744040668010712,
-0.0007546574925072491,
-0.0018182133790105581,
-0.03925757855176926,
-0.02629484049975872,
0.06620319187641144,
-0.008591992780566216,
0.056564684957265854,
-0.002886716043576598,
0.008169868029654026,
-0.011159917339682579,
-0.049107152968645096,
0.01876695267856121,
-0.022337421774864197,
-0.004212450701743364,
-0.013604721054434776,
0.060645222663879395,
-0.027578802779316902,
-0.0002775688481051475,
-0.0009497801656834781,
0.029865309596061707,
-0.003159338142722845,
0.0047884751111269,
0.0012960542226210237,
0.02835269644856453,
0.004885212052613497,
0.006516547407954931,
0.013587133027613163,
-0.01473918091505766,
0.03317195177078247,
0.027719510719180107,
0.024236982688307762,
0.030639205127954483,
-0.02611895464360714,
0.0032340893521904945,
0.04639852046966553,
0.004313584882766008,
-0.01324415672570467,
-0.014114788733422756,
0.027842629700899124,
0.03058643825352192,
-0.03213422745466232,
-0.03403379023075104,
0.06961537152528763,
-0.016155056655406952,
-0.011327007785439491,
-0.0485091432929039,
-0.006771580781787634,
-0.017518168315291405,
-0.008679935708642006,
-0.03932793438434601,
-0.01572413742542267,
0.06405739486217499,
-0.014668826945126057,
-0.03102615289390087,
0.01690256968140602,
0.03890581056475639,
0.026840083301067352,
-0.045870862901210785,
0.017052071169018745,
0.011494099162518978,
0.01218005083501339,
0.0405239537358284,
0.060469336807727814,
-0.060539692640304565,
-0.010377227328717709,
-0.05586114525794983,
-0.027719510719180107,
-0.04583568871021271,
-0.010122193954885006,
0.03011154942214489,
0.000024407509044976905,
0.02705114707350731,
0.007303633727133274,
0.010904883034527302,
0.016339736059308052,
-0.03324230760335922,
0.016480443999171257,
-0.045589447021484375,
0.0037529508117586374,
-0.06015274301171303,
-0.0096121272072196,
-0.011854663491249084,
0.026611432433128357,
-0.02034991979598999,
-0.013050682842731476,
-0.0464336983859539,
0.03206387534737587,
-0.009409858845174313,
0.005162231158465147,
-0.028000926598906517,
0.004546632990241051,
0.0017951284535229206,
0.0042146495543420315,
0.00043174324673600495,
-0.009638509713113308,
-0.03245082125067711,
0.04069983959197998,
-0.01269011851400137,
0.007118954323232174,
-0.07190187275409698,
-0.019998149946331978,
0.04210691899061203,
0.02416662871837616,
0.014158760197460651,
0.015046980232000351,
-0.029232122004032135,
-0.026417959481477737,
0.013868548907339573,
0.001032226369716227,
0.029794955626130104,
0.03654894977807999,
0.008706318214535713,
0.062228187918663025,
0.006490164436399937,
-0.017632493749260902,
0.03232770413160324,
0.028106456622481346,
0.014897477813065052,
-0.05178060755133629,
0.01672668382525444,
0.05927331745624542,
0.01680583320558071,
0.02126452326774597,
-0.026347605511546135,
0.009999074973165989,
-0.006762786768376827,
0.01385096088051796,
0.0040233745239675045,
-0.009137237444519997,
0.005786623805761337,
0.01794029213488102,
-0.05061976611614227,
-0.02472946047782898,
0.022794723510742188,
-0.007796111982315779,
-0.0007282746955752373,
-0.026066189631819725,
0.015539458952844143,
0.03566952049732208,
0.02145799621939659,
-0.05389123037457466,
0.008649155497550964,
0.024852581322193146,
0.014580884017050266,
-0.016322148963809013,
-0.021246934309601784,
-0.0343855582177639,
0.007215690799057484,
0.01748299039900303,
-0.018081000074744225,
0.03213422745466232,
0.05540384352207184,
0.0005870169261470437,
0.0032494794577360153,
-0.003183522494509816,
-0.004408123437315226,
0.011722750030457973,
-0.023656561970710754,
0.018168943002820015,
-0.038342978805303574,
0.030516084283590317,
-0.014105994254350662,
0.011028002947568893,
-0.05902707949280739,
0.05761999636888504,
-0.018731774762272835,
-0.037322841584682465,
-0.009788012132048607,
-0.014712798409163952,
-0.0026338810566812754,
0.003585859900340438,
0.012663736008107662,
-0.03561675548553467,
0.03410414233803749,
0.006630872841924429,
-0.030129138380289078,
0.00648576719686389,
0.002649271162226796,
0.035651933401823044,
-0.01376301795244217,
0.0009745139977894723,
0.0362323559820652,
0.07031890749931335,
0.013252951204776764,
0.06335385143756866,
0.0383078008890152,
-0.03816709294915199,
0.033312659710645676,
-0.020560981705784798,
0.022425364702939987,
0.026066189631819725,
-0.010139782913029194,
-0.0384485088288784,
0.017315899953246117,
-0.05751446634531021,
0.01398287434130907,
-0.006112011149525642,
-0.0300236064940691,
0.03306642174720764,
-0.037217311561107635,
0.018538301810622215,
-0.02082481049001217
] |
Despite their promise to facilitate new scientific discoveries, the
opaqueness of neural networks presents a challenge in interpreting the logic
behind their findings. Here, we use a eXplainable-AI (XAI) technique called
$inception$ or $deep$ $dreaming$, which has been invented in machine learning
for computer vision. We use this technique to explore what neural networks
learn about quantum optics experiments. Our story begins by training deep
neural networks on the properties of quantum systems. Once trained, we "invert"
the neural network -- effectively asking how it imagines a quantum system with
a specific property, and how it would continuously modify the quantum system to
change a property. We find that the network can shift the initial distribution
of properties of the quantum system, and we can conceptualize the learned
strategies of the neural network. Interestingly, we find that, in the first
layers, the neural network identifies simple properties, while in the deeper
ones, it can identify complex quantum structures and even quantum entanglement.
This is in reminiscence of long-understood properties known in computer vision,
which we now identify in a complex natural science task. Our approach could be
useful in a more interpretable way to develop new advanced AI-based scientific
discovery techniques in quantum physics. | [
-0.009868907742202282,
-0.017113296315073967,
-0.023890305310487747,
-0.03136838600039482,
0.014983123168349266,
-0.007280341815203428,
0.06435462087392807,
0.00965319387614727,
-0.0023840870708227158,
0.0844879150390625,
-0.02924720011651516,
-0.011244082823395729,
0.03257278725504875,
-0.023243164643645287,
-0.014965146780014038,
0.025112684816122055,
0.007482573390007019,
0.02951684221625328,
-0.05737987905740738,
-0.03703087195754051,
0.02182304859161377,
-0.034496236592531204,
-0.04335847869515419,
-0.08053316175937653,
0.030883029103279114,
0.02236233279109001,
-0.01433598157018423,
0.009545336477458477,
-0.09771836549043655,
0.05468345433473587,
0.003343564225360751,
0.012610270641744137,
0.03287838399410248,
0.002622271189466119,
-0.026388991624116898,
-0.008435308933258057,
-0.0384330116212368,
-0.013850625604391098,
0.00658825971186161,
0.04066205769777298,
0.023692568764090538,
-0.0252385176718235,
0.04375395551323891,
-0.046737994998693466,
-0.038576822727918625,
-0.025400303304195404,
-0.03395695239305496,
-0.06672747433185577,
-0.045263949781656265,
-0.08189935237169266,
0.03760610893368721,
-0.05590583384037018,
0.017760438844561577,
0.01596282236278057,
-0.030901005491614342,
-0.00034828795469366014,
0.04375395551323891,
-0.029283151030540466,
0.08937742561101913,
-0.03045160137116909,
0.07974220812320709,
0.036994919180870056,
-0.07621888816356659,
-0.003759262850508094,
0.029031485319137573,
-0.04529990255832672,
0.0070646279491484165,
-0.02412399649620056,
0.009302658960223198,
0.001361693488433957,
-0.019198531284928322,
0.028941605240106583,
-0.019090672954916954,
0.01137890387326479,
0.012026045471429825,
0.0033233410213142633,
0.025831731036305428,
0.04871537163853645,
-0.01716722548007965,
0.01634032279253006,
0.004518755245953798,
0.02840232104063034,
0.02061864733695984,
0.0002430993627058342,
0.0586741603910923,
0.0038446495309472084,
0.00045951540232636034,
-0.05896177887916565,
0.0033660344779491425,
0.010552001185715199,
-0.03330980986356735,
0.03864872828125954,
0.0004609197785612196,
-0.04249562323093414,
0.022883642464876175,
0.02302745170891285,
-0.0032581775449216366,
-0.0006510737584903836,
0.009033016860485077,
0.013383245095610619,
0.012088961899280548,
-0.02570589818060398,
0.033938974142074585,
0.026604704558849335,
0.01883900724351406,
-0.0715450868010521,
-0.042387764900922775,
0.0032873887103050947,
0.00794096477329731,
0.130291149020195,
0.03172791004180908,
0.01277205627411604,
-0.08182744681835175,
0.016735797747969627,
-0.007518525701016188,
0.005316447000950575,
-0.06341986358165741,
-0.0016818937147036195,
-0.01119015458971262,
-0.010803667828440666,
0.0013347292551770806,
0.052310600876808167,
0.014434849843382835,
0.0027301281224936247,
-0.02728779800236225,
0.07086199522018433,
0.009401527233421803,
-0.0011111509520560503,
0.002595307072624564,
0.03611408919095993,
-0.0245014950633049,
-0.007922989316284657,
-0.04299895465373993,
-0.03437040373682976,
0.01150473766028881,
0.005959094502031803,
0.04436514154076576,
-0.0056310296058654785,
0.02293756976723671,
-0.05791916325688362,
0.014587647281587124,
-0.035323139280080795,
-0.005123203154653311,
-0.002748104277998209,
-0.013643899001181126,
0.031709931790828705,
-0.03803753852844238,
0.03760610893368721,
-0.04091372340917587,
-0.011172178201377392,
-0.062269389629364014,
0.060112252831459045,
-0.011253071017563343,
-0.014749432913959026,
0.034226592630147934,
0.017059369012713432,
-0.008884713053703308,
-0.01923448219895363,
-0.026784466579556465,
-0.02412399649620056,
0.01800311543047428,
-0.04630656912922859,
-0.0007482573273591697,
0.0363837331533432,
0.02236233279109001,
0.011244082823395729,
0.04418538138270378,
-0.0021211858838796616,
-0.023926258087158203,
0.04091372340917587,
0.03424457088112831,
0.026856372132897377,
-0.037462301552295685,
0.004415392410010099,
-0.05022536963224411,
-0.003406480886042118,
0.048427753150463104,
0.012457473203539848,
-0.07808840274810791,
-0.04407752677798271,
-0.06363558024168015,
-0.025562088936567307,
0.05234655365347862,
0.028456248342990875,
0.03618599474430084,
0.04698966071009636,
0.07233603298664093,
-0.015836989507079124,
0.01206199824810028,
0.013212472200393677,
0.016385262832045555,
-0.0010459873592481017,
0.06521748006343842,
-0.04001491516828537,
0.04012276977300644,
-0.03760610893368721,
0.0004536169581115246,
-0.02247018925845623,
-0.024106020107865334,
0.01986364834010601,
-0.042927052825689316,
-0.05328131467103958,
-0.003089651232585311,
-0.004682787694036961,
0.00933861080557108,
-0.009832954965531826,
-0.012529377825558186,
-0.0490029901266098,
0.013580982573330402,
0.0023795932065695524,
0.0043030413798987865,
-0.012825984507799149,
-0.031799811869859695,
-0.05155560374259949,
-0.024843042716383934,
-0.008237571455538273,
-0.06453438848257065,
-0.04982989281415939,
-0.046270616352558136,
-0.038576822727918625,
-0.024357685819268227,
0.0076308767311275005,
0.053892504423856735,
-0.018030080944299698,
0.02572387456893921,
-0.024447567760944366,
-0.012637235224246979,
-0.020492812618613243,
-0.03007410280406475,
-0.004300794564187527,
-0.06701509654521942,
0.011675510555505753,
0.025580065324902534,
-0.024159949272871017,
-0.011531701311469078,
-0.018641268834471703,
0.028096726164221764,
0.017409903928637505,
0.006120879668742418,
-0.018874960020184517,
-0.033651355654001236,
0.014416874386370182,
-0.026676610112190247,
-0.0011016010539606214,
0.03918801248073578,
-0.0030177466105669737,
-0.011244082823395729,
0.002759339287877083,
0.05263417214155197,
0.01192717719823122,
0.025382326915860176,
-0.0044850497506558895,
0.02282971329987049,
0.01773347333073616,
-0.05335322022438049,
-0.03807349130511284,
0.0016875113360583782,
0.019665909931063652,
-0.04623466357588768,
-0.010677834041416645,
-0.004826596938073635,
0.021373644471168518,
0.030433624982833862,
0.05942915752530098,
-0.0862855315208435,
-0.02786303497850895,
0.023135308176279068,
-0.0005999541026540101,
0.022056737914681435,
0.04659418761730194,
0.006098409648984671,
-0.043502289801836014,
-0.032069455832242966,
-0.009374563582241535,
0.004031151998788118,
-0.06708700209856033,
0.002435768721625209,
0.015450502745807171,
0.0033503053709864616,
-0.034855760633945465,
0.014560683630406857,
-0.02144555002450943,
0.038289204239845276,
-0.02766529843211174,
-0.02842029556632042,
-0.023333044722676277,
-0.015845978632569313,
0.015378598123788834,
-0.061047013849020004,
-0.004408651497215033,
-0.00862855277955532,
0.033022191375494,
-0.04177657887339592,
0.016547048464417458,
0.017589664086699486,
0.0018627787940204144,
-0.07075413316488266,
-0.028438271954655647,
0.03872063010931015,
0.01569318026304245,
-0.03009207919239998,
-0.03525123372673988,
0.0029368537943810225,
0.02545423060655594,
-0.004543472547084093,
0.06000439450144768,
0.04184848070144653,
0.12475449591875076,
-0.014749432913959026,
0.04936251416802406,
0.05950106307864189,
0.01811097376048565,
0.003035722766071558,
-0.04688180610537529,
-0.03620396926999092,
-0.0027413631323724985,
0.07348650693893433,
-0.03455016389489174,
0.022775784134864807,
-0.028761843219399452,
0.05364083871245384,
-0.03979920223355293,
-0.055833928287029266,
0.03814539313316345,
0.0012628246331587434,
-0.005959094502031803,
-0.0034693973138928413,
0.015675203874707222,
-0.026335062459111214,
0.022524118423461914,
0.012520389631390572,
-0.029301127418875694,
-0.02674851380288601,
0.03677920624613762,
0.034298498183488846,
0.007689299061894417,
-0.006381534039974213,
0.05533059686422348,
-0.0205287653952837,
-0.01145979668945074,
-0.0012088962830603123,
0.028294462710618973,
-0.019108649343252182,
-0.058242734521627426,
-0.025400303304195404,
-0.06712295114994049,
-0.0531015545129776,
0.00466930540278554,
-0.0009016163530759513,
0.023890305310487747,
0.0009886883199214935,
-0.0163493100553751,
-0.045551568269729614,
-0.0265507772564888,
-0.0237644724547863,
-0.028258511796593666,
-0.04997370392084122,
-0.002873937366530299,
0.03796563297510147,
0.0466301403939724,
0.038576822727918625,
-0.07291126996278763,
-0.031530171632766724,
0.026568753644824028,
-0.048607517033815384,
-0.04069800674915314,
-0.0062017724849283695,
-0.03803753852844238,
-0.007356740068644285,
0.05709226056933403,
0.02554411254823208,
0.08491934090852737,
-0.08405648916959763,
0.05245441198348999,
0.011630570515990257,
-0.0633479580283165,
-0.03278850018978119,
-0.032069455832242966,
-0.061981771141290665,
0.051196079701185226,
-0.05126798525452614,
0.006264688912779093,
0.009949800558388233,
0.07269556075334549,
-0.015729133039712906,
0.054252028465270996,
-0.014686516486108303,
-0.011280035600066185,
-0.01681669056415558,
0.03415469080209732,
-0.02468125708401203,
-0.03721063584089279,
-0.06140653416514397,
-0.006368051748722792,
0.062269389629364014,
0.013203484006226063,
0.008736410178244114,
-0.038936346769332886,
0.03965539112687111,
0.016079667955636978,
-0.044616810977458954,
0.030775172635912895,
-0.023279117420315742,
-0.034586116671562195,
-0.00803534034639597,
0.00951837282627821,
-0.07197651267051697,
-0.031224576756358147,
0.05410821735858917,
0.02378244884312153,
-0.020313052460551262,
-0.02619125321507454,
-0.01007563341408968,
-0.03336373716592789,
0.022218523547053337,
0.039511583745479584,
-0.03268064558506012,
0.015765085816383362,
0.017769426107406616,
-0.022596023976802826,
0.03557480499148369,
0.05849440023303032,
-0.035035520792007446,
-0.02135566808283329,
-0.04001491516828537,
0.0002804560645017773,
0.044976331293582916,
-0.047313231974840164,
0.00682644359767437,
-0.049434419721364975,
0.06435462087392807,
-0.006947782821953297,
0.0034379390999674797,
-0.0005114777013659477,
-0.043682049959897995,
-0.00821959599852562,
-0.008242066018283367,
0.006664658430963755,
-0.034604091197252274,
0.015486454591155052,
-0.016304370015859604,
0.013482114300131798,
-0.026712562888860703,
-0.03100886195898056,
-0.038936346769332886,
0.02739565633237362,
-0.05022536963224411,
-0.06306034326553345,
-0.031602077186107635,
-0.026532800868153572,
-0.06816557049751282,
-0.007487067487090826,
-0.057056307792663574,
-0.042279910296201706,
0.04601895064115524,
-0.007082603871822357,
-0.034909687936306,
-0.023368997499346733,
0.04202824458479881,
-0.015540383756160736,
0.036150041967630386,
0.054539646953344345,
0.03498159348964691,
-0.047385137528181076,
0.04921870306134224,
0.03478385508060455,
-0.03915205970406532,
-0.04094967618584633,
-0.006300641223788261,
0.02256007120013237,
0.0434303842484951,
0.015073003247380257,
-0.02755744196474552,
0.06622414290904999,
0.039331819862127304,
0.023063402622938156,
-0.012394556775689125,
-0.05888987332582474,
0.039871104061603546,
-0.05971677601337433,
0.04512014240026474,
-0.017787402495741844,
0.009302658960223198,
-0.011810331605374813,
-0.04037443920969963,
0.045623473823070526,
0.054287977516651154,
-0.008242066018283367,
-0.017041392624378204,
-0.025651969015598297,
-0.031224576756358147,
-0.04378990828990936,
0.03129648044705391,
0.026694586500525475,
-0.0017245870549231768,
-0.03268064558506012,
-0.04076991230249405,
-0.0008370145806111395,
0.06201772391796112,
0.05773939937353134,
-0.010965452529489994,
-0.03676123172044754,
-0.0033772694878280163,
0.010390215553343296,
-0.03232112154364586,
0.03120660036802292,
0.015441514551639557,
-0.004419886507093906,
0.0077072749845683575,
-0.03836110979318619,
0.00021627558453474194,
-0.03749825432896614,
0.0026335061993449926,
-0.01957602985203266,
0.005028828512877226,
0.04307086020708084,
-0.00970712210983038,
0.010614917613565922,
0.009482420049607754,
0.03846896439790726,
0.034873735159635544,
-0.043394431471824646,
0.0227398332208395,
0.030433624982833862,
-0.05112417787313461,
0.07780078798532486,
0.04569537937641144,
0.0038940839003771544,
-0.034118738025426865,
0.01225074753165245,
-0.03307611867785454,
0.04601895064115524,
0.00877685658633709,
-0.061047013849020004,
0.031979575753211975,
0.04012276977300644,
0.0039412714540958405,
0.0008948753238655627,
-0.020780431106686592,
-0.04037443920969963,
-0.02496887557208538,
0.04023062810301781,
0.019665909931063652,
0.03640170767903328,
-0.022416261956095695,
0.006633200217038393,
0.031889695674180984,
-0.01847948506474495,
-0.022416261956095695,
-0.0362219475209713,
-0.0096082529053092,
-0.01568419300019741,
0.01736496202647686,
0.009868907742202282,
-0.0013077650219202042,
0.018785078078508377,
0.006111891940236092,
-0.00002840372508217115,
-0.003986211959272623,
-0.0347479023039341,
0.0016436943551525474,
0.011109261773526669,
-0.010516049340367317,
0.0028110207058489323,
-0.06025606021285057,
-0.03332778438925743,
0.008642035536468029,
0.06492985785007477,
0.002171743893995881,
-0.012331640347838402,
-0.010273370891809464,
0.007159002590924501,
-0.027161965146660805,
0.03854086995124817,
0.03163802623748779,
0.027323750779032707,
0.05159155651926994,
-0.047960374504327774,
0.025094708427786827,
-0.018874960020184517,
0.05029727518558502,
-0.023153284564614296,
0.0036064654123038054,
0.04569537937641144,
-0.009275694377720356,
-0.04727727919816971,
-0.010318310931324959,
-0.012888900935649872,
0.0040289051830768585,
-0.017526747658848763,
-0.04289110004901886,
0.05364083871245384,
0.001684140763245523,
0.05331726744771004,
-0.011585630476474762,
0.030128030106425285,
0.03447825834155083,
0.0017886271234601736,
0.03415469080209732,
-0.056409165263175964,
0.0021099508740007877,
-0.0157740730792284,
0.01883900724351406,
0.018066033720970154,
0.01653805933892727,
0.027054108679294586,
0.018695197999477386,
0.04598299786448479,
0.0018762608524411917,
0.01002170518040657,
-0.02006138488650322,
-0.010228430852293968,
0.010246406309306622,
-0.02691029943525791,
0.03915205970406532,
-0.007671323139220476,
0.004390675108879805,
-0.023189235478639603,
-0.017382938414812088,
-0.0157740730792284,
0.019522100687026978,
-0.03410075977444649,
0.03814539313316345,
-0.010704798623919487,
0.023800425231456757,
0.005177131853997707,
-0.024375662207603455,
-0.011019381694495678,
-0.0014774149749428034,
-0.0011398004135116935,
0.008974594064056873,
0.0018223323859274387,
-0.024753160774707794,
0.004907489754259586,
0.02220054715871811,
0.007091592065989971,
-0.0010971070732921362,
0.03661742061376572,
0.03850491717457771,
-0.00110721867531538,
-0.009743074886500835,
0.02006138488650322,
-0.015010086819529533,
0.015513419173657894,
0.009203789755702019,
0.021014122292399406,
0.01717621274292469,
-0.020313052460551262,
0.0545755960047245,
0.019342340528964996,
0.0739179402589798,
0.028995532542467117,
-0.02236233279109001,
0.02960672229528427,
0.01652907207608223,
-0.005320941098034382,
0.06208962947130203,
-0.000644332729279995,
0.01874912716448307,
0.04828394576907158,
0.046270616352558136,
-0.019935552030801773,
0.019468173384666443,
0.019000792875885963,
0.01595383509993553,
-0.01595383509993553,
0.020762456580996513,
0.02692827582359314,
0.015729133039712906,
0.024088043719530106,
0.013059674762189388,
-0.02340495027601719,
-0.016358299180865288,
0.0073522464372217655,
0.054539646953344345,
-0.01923448219895363,
0.01829073391854763,
0.01082164328545332,
0.03129648044705391,
0.0000820161949377507,
-0.03118862397968769,
-0.01939626783132553,
-0.0004505273245740682,
-0.004844572860747576,
-0.05497107282280922,
-0.0005117585533298552,
-0.010677834041416645,
0.008794832043349743,
-0.008066798560321331,
0.00417720852419734,
-0.010668845847249031,
-0.025472206994891167,
0.03054148331284523,
0.025364350527524948,
-0.00215713819488883,
-0.014533719047904015,
-0.02468125708401203,
0.03366933390498161,
0.00614784425124526,
-0.025741849094629288,
-0.03498159348964691,
-0.009293670766055584,
0.015396574512124062,
0.011972117237746716,
-0.02004341036081314,
0.02459137700498104,
0.01903674565255642,
-0.00022779154824092984,
-0.05561821535229683,
0.012745091691613197,
0.0004193499335087836,
0.02793494053184986,
0.03656349331140518,
0.05910558998584747,
0.04893108457326889,
0.05245441198348999,
0.04026658087968826,
-0.04325062036514282,
0.007828614674508572,
0.00965319387614727,
0.02256007120013237,
0.03289635851979256,
-0.006844419986009598,
-0.04263943433761597,
0.0319615975022316,
0.0413811020553112,
0.003952506463974714,
0.010120573453605175,
0.007361234165728092,
0.0037165693938732147,
0.0033278351183980703,
-0.00868248101323843,
-0.016960499808192253,
0.001440339139662683,
-0.016457166522741318,
-0.010830631479620934,
0.028995532542467117,
0.03742634877562523,
0.027827084064483643,
-0.026892323046922684,
-0.003646911820396781,
0.021751144900918007,
0.017400914803147316,
0.0007774685509502888,
0.008574624545872211,
0.012277712114155293,
-0.05080060660839081,
0.004186196252703667,
0.01512693241238594,
0.03721063584089279,
0.04551561549305916,
0.0021807318553328514,
0.033471595495939255,
-0.02347685396671295,
-0.021014122292399406,
0.023333044722676277,
0.02227245271205902,
-0.026586728170514107,
0.023692568764090538,
0.030128030106425285,
0.024753160774707794,
0.02989434078335762,
-0.005284988787025213,
0.060112252831459045,
0.054359883069992065,
0.005010852590203285,
-0.0096082529053092,
-0.045084189623594284,
0.002855961211025715,
-0.010003728792071342,
-0.00031570615828968585,
-0.019108649343252182,
0.002221178263425827,
-0.04069800674915314,
-0.009644205681979656,
-0.02153543010354042,
-0.0006611853605136275,
0.014416874386370182,
-0.009131885133683681,
0.02034900337457657,
-0.009212777949869633,
0.014794372953474522,
-0.0011965376324951649,
0.008803820237517357,
-0.02180507220327854,
-0.0283124390989542,
0.0056220414116978645,
-0.023602686822414398,
0.000010848888450709637,
0.028258511796593666,
-0.028024820610880852,
-0.025562088936567307,
0.04353823885321617,
-0.04529990255832672,
0.04824799299240112,
0.03836110979318619,
-0.039223965257406235,
0.008902689442038536,
-0.0007392692496068776,
-0.028618033975362778,
0.046270616352558136,
-0.017769426107406616,
0.02211066707968712,
-0.002988535212352872,
-0.027593392878770828,
-0.04066205769777298,
0.007891531102359295,
-0.032734572887420654,
-0.010300335474312305,
-0.0053658816032111645,
0.0466301403939724,
0.008938641287386417,
0.009010545909404755,
0.06816557049751282,
0.029373032972216606,
-0.0045120143331587315,
-0.041093483567237854,
0.03027183935046196,
-0.006947782821953297,
-0.00455021345987916,
-0.059752728790044785,
-0.014102291315793991,
0.0005609121290035546,
-0.02004341036081314,
-0.050728701055049896,
-0.014219135977327824,
0.03140433877706528,
-0.017886271700263023,
-0.015090979635715485,
-0.002617777092382312,
-0.013769732788205147,
0.05004560574889183,
-0.014740444719791412,
0.029408985748887062,
-0.003509843721985817,
0.003188519971445203,
-0.0001960524095920846,
0.027916964143514633,
0.009104921482503414,
0.008107244968414307,
0.0014976381789892912,
0.010417180135846138,
0.012565330602228642,
-0.04468871280550957,
-0.01090253610163927,
0.011387892067432404,
-0.023279117420315742,
-0.02674851380288601,
-0.03535909205675125,
0.0141562195494771,
-0.010093609802424908,
0.006233230698853731,
0.005136685445904732,
-0.014965146780014038,
0.0012313664192333817,
0.004835585132241249,
-0.000009005631000036374,
-0.013239435851573944,
-0.02432173304259777,
0.010983428917825222,
0.013661875389516354,
0.03623992204666138,
0.015738120302557945,
-0.01717621274292469,
0.012448485009372234,
-0.03330980986356735,
0.018425555899739265,
-0.01827275939285755,
-0.003655900014564395,
-0.015935858711600304,
-0.039331819862127304,
-0.005433292128145695,
-0.022524118423461914,
0.02610137313604355,
-0.011513725854456425,
0.003662640927359462,
0.0027907975018024445,
-0.032446954399347305,
-0.000341546896379441,
-0.012897889129817486,
-0.012969793751835823,
0.018874960020184517,
0.033004216849803925,
0.035970281809568405,
0.006296147126704454,
0.00010216914233751595,
-0.02795291692018509,
-0.015441514551639557,
0.03426254540681839,
-0.01407532673329115,
-0.011666522361338139,
0.015028063207864761,
-0.02692827582359314,
0.01670883409678936,
0.018218830227851868,
-0.00294808903709054,
0.007123050279915333,
0.012421521358191967,
0.01773347333073616,
-0.031350407749414444,
0.008947629481554031,
-0.024483518674969673,
-0.007006205152720213,
-0.02534637413918972,
0.0076263826340436935,
-0.018057044595479965,
0.002655976451933384,
-0.017499784007668495,
-0.0016335828695446253,
-0.026712562888860703,
-0.034909687936306,
0.009743074886500835,
0.007087097968906164,
0.023836378008127213,
-0.005253530573099852,
-0.004934453871101141,
-0.0572001151740551,
-0.01225074753165245,
0.02284768968820572,
0.021283764392137527,
0.044329192489385605,
0.021499477326869965,
0.02245221473276615,
0.033920999616384506,
-0.01661895215511322,
-0.014461814425885677,
-0.019252458587288857,
0.003294129855930805,
-0.01261925883591175,
-0.02552613615989685,
-0.006866890005767345,
0.036797184497117996,
0.0163493100553751,
0.04677394777536392,
0.05087251216173172,
0.008642035536468029,
-0.04260348156094551,
0.025040779262781143,
0.030847076326608658,
-0.01867722161114216,
0.02320721186697483,
-0.004624364897608757,
-0.019360315054655075,
0.0384330116212368,
0.0013201236724853516,
-0.05004560574889183,
0.037102777510881424,
0.026388991624116898,
-0.028528153896331787,
0.04522799700498581,
-0.005028828512877226,
-0.005298470612615347,
-0.030972909182310104,
0.03368730843067169,
-0.024627327919006348,
-0.018803054466843605,
-0.000766233482863754,
-0.018075020983815193,
-0.00184480263851583,
0.009248729795217514,
0.03508944809436798,
0.004269336350262165,
-0.03415469080209732,
-0.028078749775886536,
0.023728521540760994,
0.0018897430272772908,
-0.020834360271692276,
-0.06766223907470703,
-0.034388378262519836,
-0.019000792875885963,
-0.02034900337457657,
-0.02256007120013237,
0.006565789692103863,
0.03861277550458908,
0.04982989281415939,
-0.011253071017563343,
0.015657229349017143,
-0.006309629417955875,
-0.027521489188075066,
-0.006278171204030514,
0.03760610893368721,
-0.008588106371462345,
0.007738733664155006,
0.005397339817136526,
-0.013536042533814907,
-0.01901876926422119,
0.02164328657090664,
0.00026093507767654955,
-0.037570156157016754,
0.008979087695479393,
0.002034675795584917,
-0.01950412429869175,
0.027629345655441284,
0.010381228290498257,
-0.0369589701294899,
0.004190690349787474,
0.0018717668717727065,
0.00264474144205451,
-0.016861630603671074,
0.022218523547053337,
-0.03742634877562523,
-0.0008740904158912599,
0.00826004147529602,
0.05673273652791977,
0.053425125777721405,
0.016106631606817245,
0.03528718650341034,
-0.019252458587288857,
-0.048319898545742035,
-0.005284988787025213,
0.019468173384666443,
0.01136991661041975,
-0.007451115176081657,
0.019701862707734108,
-0.012493425980210304,
0.02403411455452442,
-0.0038019560743123293,
-0.01221479568630457,
-0.0016369533259421587,
0.024825066328048706,
0.021499477326869965,
-0.030235888436436653,
0.03446028381586075,
-0.027881011366844177
] |
With the rapid development of electronic science and technology, the research
on wearable devices is constantly updated, but for now, it is not comprehensive
for wearable devices to recognize and analyze the movement of specific sports.
Based on this, this paper improves wearable devices of table tennis sport, and
realizes the pattern recognition and evaluation of table tennis players' motor
skills through artificial intelligence. Firstly, a device is designed to
collect the movement information of table tennis players and the actual
movement data is processed. Secondly, a sliding window is made to divide the
collected motion data into a characteristic database of six table tennis
benchmark movements. Thirdly, motion features were constructed based on feature
engineering, and motor skills were identified for different models after
dimensionality reduction. Finally, the hierarchical evaluation system of motor
skills is established with the loss functions of different evaluation indexes.
The results show that in the recognition of table tennis players' motor skills,
the feature-based BP neural network proposed in this paper has higher
recognition accuracy and stronger generalization ability than the traditional
convolutional neural network. | [
0.016788100823760033,
0.00029301195172593,
-0.015456599183380604,
-0.015372798778116703,
-0.00968365278095007,
0.005209618713706732,
0.01613631658256054,
0.02461882494390011,
-0.004639307502657175,
0.02988896518945694,
0.03800833597779274,
-0.029795853421092033,
0.09571918100118637,
-0.036295074969530106,
-0.007327917963266373,
0.0031588261481374502,
0.008398706093430519,
-0.006764589808881283,
-0.0012407179456204176,
-0.04387439414858818,
0.021732350811362267,
-0.021006077527999878,
-0.05411671847105026,
-0.007560697849839926,
0.004485672805458307,
0.025475455448031425,
0.017318841069936752,
-0.005833469331264496,
-0.07452687621116638,
0.01756093092262745,
0.03918154910206795,
0.014246142469346523,
-0.03541982173919678,
0.0047766477800905704,
-0.057170793414115906,
-0.02299867570400238,
0.0234456118196249,
0.05605345219373703,
-0.020056333392858505,
-0.02914406917989254,
-0.005582067184150219,
-0.026034127920866013,
0.02884611114859581,
-0.02491678297519684,
-0.0140412962064147,
-0.023948417976498604,
-0.009390349499881268,
-0.08402431011199951,
0.017439885064959526,
-0.0051165069453418255,
0.05076468735933304,
-0.05150958150625229,
0.038362160325050354,
0.014171653427183628,
-0.009129635989665985,
0.034358344972133636,
0.050578463822603226,
0.024842293933033943,
0.09370796382427216,
0.027337696403265,
-0.008743220940232277,
0.016043204814195633,
-0.04000093415379524,
-0.0031751208007335663,
-0.013817827217280865,
-0.04510347545146942,
0.03271957114338875,
-0.019348682835698128,
0.03800833597779274,
0.008366117253899574,
-0.02087572030723095,
0.02147163823246956,
-0.017691288143396378,
-0.042906031012535095,
0.01067995186895132,
-0.025494078174233437,
0.05374427139759064,
0.05001978948712349,
0.011527271009981632,
-0.02314765378832817,
0.009637096896767616,
0.060932520776987076,
-0.0516958050429821,
-0.04912591353058815,
0.04231011122465134,
0.030726974830031395,
0.031173912808299065,
-0.06216160207986832,
0.0025675646029412746,
-0.004313415382057428,
-0.03653716668486595,
0.050578463822603226,
0.014208897948265076,
0.0417514406144619,
0.0024721247609704733,
0.055383045226335526,
0.014544101431965828,
-0.0096091628074646,
-0.029665498062968254,
-0.005456365644931793,
0.034358344972133636,
-0.0004126027342863381,
0.008040225133299828,
-0.050392236560583115,
0.037486907094717026,
-0.04432133212685585,
-0.04029889404773712,
0.019143836572766304,
0.010316814295947552,
0.0798528864979744,
-0.028306061401963234,
0.020205313339829445,
0.029646875336766243,
-0.0004981494275853038,
-0.06599781662225723,
0.003901394549757242,
-0.03244023770093918,
-0.040187157690525055,
0.006238507106900215,
0.04126725718379021,
0.032645083963871,
0.047412652522325516,
-0.003240299178287387,
-0.017402641475200653,
-0.0669289380311966,
0.07344678044319153,
-0.03126702457666397,
-0.018883122131228447,
0.018147537484765053,
-0.03679788112640381,
0.050578463822603226,
0.040485117584466934,
0.01892036758363247,
0.04730091989040375,
0.01171349547803402,
0.0060103824362158775,
0.013398823328316212,
-0.022607604041695595,
-0.01908796839416027,
-0.0420866422355175,
0.0025349752977490425,
-0.007998324930667877,
-0.034768037497997284,
0.027710143476724625,
0.034339722245931625,
0.020763985812664032,
-0.0015410042833536863,
0.010456482879817486,
-0.02361321449279785,
0.02011220157146454,
-0.060001399368047714,
0.03653716668486595,
0.025270609185099602,
0.013417445123195648,
0.01951628364622593,
0.0219558198004961,
0.003677925793454051,
0.01879001036286354,
-0.018398940563201904,
-0.03383691608905792,
0.015298308804631233,
-0.015186574310064316,
0.004197025205940008,
0.04841826111078262,
0.014478922821581364,
0.02661142125725746,
-0.027412185445427895,
0.04041062667965889,
-0.0634651705622673,
0.032514724880456924,
-0.03158360347151756,
0.01044717151671648,
0.024898160248994827,
-0.003224004525691271,
0.016741545870900154,
0.014478922821581364,
0.04327847808599472,
-0.013743337243795395,
-0.04547592252492905,
0.010791685432195663,
-0.030019322410225868,
0.049051426351070404,
0.03348309174180031,
-0.023799438029527664,
0.030857332050800323,
0.0042365980334579945,
0.053707025945186615,
-0.001503759529441595,
0.029646875336766243,
-0.004972183145582676,
0.03184431791305542,
0.007830723188817501,
0.05258968099951744,
-0.028901979327201843,
0.004515934269875288,
-0.01443236693739891,
0.013855071738362312,
0.038399405777454376,
-0.0217882189899683,
0.0402616485953331,
-0.06011313572525978,
-0.04495449364185333,
0.01968388631939888,
-0.023073164746165276,
0.016871903091669083,
0.001066132914274931,
0.025363720953464508,
-0.05921925976872444,
0.0003974720311816782,
-0.060001399368047714,
-0.02644382044672966,
0.05970344319939613,
-0.011806607246398926,
-0.02162061631679535,
-0.035382576286792755,
-0.004585768096148968,
0.04130450263619423,
0.03407900780439377,
0.022291023284196854,
-0.020391536876559258,
0.049796320497989655,
0.009171536192297935,
-0.0017958985408768058,
-0.01097790990024805,
-0.07828860729932785,
0.0014420727966353297,
-0.018287206068634987,
0.012188366614282131,
-0.038250427693128586,
-0.02074536308646202,
0.01830582693219185,
0.003978211898356676,
0.016778789460659027,
-0.027691522613167763,
0.07694779336452484,
0.015735935419797897,
0.01923694834113121,
-0.015065528452396393,
-0.048604488372802734,
0.0351218618452549,
0.010931354016065598,
-0.019739752635359764,
-0.00991643313318491,
0.012225611135363579,
0.04882795736193657,
-0.049945298582315445,
0.0007320934673771262,
0.0848436951637268,
0.02057776227593422,
0.024376733228564262,
-0.013855071738362312,
-0.03303615376353264,
-0.041416235268116,
0.04204940050840378,
0.053856007754802704,
0.017505064606666565,
0.08327940851449966,
-0.050839174538850784,
0.041565217077732086,
-0.03705859184265137,
0.009935054928064346,
0.01081961952149868,
0.0005994087550789118,
-0.001479317550547421,
-0.036425430327653885,
0.06141670420765877,
0.01851067505776882,
0.004944249521940947,
0.055532023310661316,
-0.06074629724025726,
-0.019870109856128693,
-0.03337135538458824,
0.042123887687921524,
-0.016462208703160286,
-0.006848390679806471,
-0.029330294579267502,
0.006885635666549206,
-0.049684587866067886,
0.01195558626204729,
0.018827255815267563,
-0.020317047834396362,
0.03156498447060585,
0.07620289921760559,
0.011089644394814968,
-0.051137134432792664,
-0.06819526106119156,
-0.050690196454524994,
0.023240765556693077,
-0.02298005297780037,
0.04186317324638367,
-0.002427896484732628,
-0.028901979327201843,
-0.056276917457580566,
0.006191950757056475,
0.03210503235459328,
-0.024972649291157722,
-0.050131525844335556,
-0.003016830189153552,
0.0046160295605659485,
-0.003654647618532181,
-0.008570963516831398,
-0.0026816269382834435,
-0.037170328199863434,
0.03767313435673714,
-0.02298005297780037,
-0.04435857757925987,
0.06886566430330276,
0.08387532830238342,
-0.005610000807791948,
-0.03564329072833061,
0.0025047140661627054,
0.03352033719420433,
-0.022905562072992325,
-0.02657417766749859,
-0.01770991086959839,
0.05847436189651489,
0.02372494898736477,
0.04022440314292908,
-0.061826396733522415,
-0.05635140836238861,
0.023035919293761253,
0.034917015582323074,
-0.09750693291425705,
0.054600901901721954,
-0.00713703827932477,
-0.0017365396488457918,
0.02011220157146454,
0.010847552679479122,
-0.0092367148026824,
-0.025922393426299095,
-0.021397147327661514,
-0.020019089803099632,
-0.04547592252492905,
-0.013640914112329483,
-0.006880979984998703,
-0.007258083671331406,
-0.027412185445427895,
-0.009599851444363594,
-0.008566307835280895,
0.022663472220301628,
-0.022160666063427925,
0.05307386443018913,
-0.02091296575963497,
-0.03063386306166649,
-0.02361321449279785,
-0.060932520776987076,
-0.000015949075532262214,
0.025177497416734695,
-0.015959404408931732,
-0.04495449364185333,
0.0010475105373188853,
-0.04763612151145935,
-0.015261064283549786,
-0.01704881526529789,
0.003987523261457682,
-0.029404783621430397,
0.003729137359187007,
-0.03398589417338371,
0.02493540570139885,
-0.024898160248994827,
0.0036127474159002304,
-0.06041109561920166,
0.03787798061966896,
0.02780325710773468,
-0.040187157690525055,
-0.028939222916960716,
-0.0054517099633812904,
-0.018911056220531464,
-0.012095254845917225,
0.025661678984761238,
-0.042161133140325546,
0.011685561388731003,
0.013240532949566841,
-0.020670874044299126,
-0.08596103638410568,
0.008989967405796051,
-0.03752415254712105,
-0.030261414125561714,
0.00845922902226448,
0.03383691608905792,
0.007933146320283413,
-0.014851370826363564,
0.03378104791045189,
0.0225331149995327,
-0.04089481011033058,
0.0010131754679605365,
0.07247841358184814,
-0.02869713120162487,
-0.046034593135118484,
0.08082125335931778,
0.0337996706366539,
-0.04443306848406792,
-0.028604019433259964,
-0.0450662299990654,
0.010726507753133774,
-0.022644849494099617,
0.004893037956207991,
-0.005959170870482922,
0.005880025681108236,
-0.06134221330285072,
-0.032067786902189255,
-0.027691522613167763,
-0.03726343810558319,
-0.07303708791732788,
-0.030168302357196808,
-0.011899719014763832,
-0.02854815311729908,
0.03182569518685341,
0.011024465784430504,
-0.051323357969522476,
0.04171419516205788,
-0.0025559256318956614,
0.00044810172403231263,
-0.01298912987112999,
-0.0044949837028980255,
-0.010763752274215221,
0.02342699095606804,
0.022477246820926666,
-0.0068902913480997086,
-0.09720897674560547,
-0.05270141735672951,
0.05962895229458809,
0.040783073753118515,
-0.023482857272028923,
-0.057617731392383575,
0.04849275201559067,
-0.007267395034432411,
-0.007788822520524263,
-0.0054517099633812904,
-0.013631603680551052,
-0.027412185445427895,
-0.053111109882593155,
0.02372494898736477,
-0.000272789184236899,
0.015959404408931732,
-0.005428432021290064,
0.010549594648182392,
0.031211156398057938,
-0.025307852774858475,
-0.02839917317032814,
-0.045401431620121,
-0.012905329465866089,
-0.04264531657099724,
-0.055383045226335526,
-0.0012244234094396234,
-0.02087572030723095,
0.0034358343109488487,
-0.018482740968465805,
-0.0178961344063282,
-0.046928469091653824,
-0.0374496653676033,
0.01802649162709713,
0.0056705232709646225,
-0.03651854395866394,
-0.00014585128519684076,
0.020261181518435478,
0.00789590086787939,
-0.028939222916960716,
0.007537419907748699,
-0.08141717314720154,
-0.06964781135320663,
0.06223608925938606,
-0.01751437596976757,
-0.04767336696386337,
0.0535208024084568,
0.004278498236089945,
0.01135035790503025,
-0.05839987471699715,
0.004832515027374029,
0.03048488311469555,
0.0465560220181942,
-0.058213651180267334,
0.011313113383948803,
0.032049164175987244,
0.003361344803124666,
0.01042854879051447,
0.010493727400898933,
0.007351195905357599,
-0.008808399550616741,
0.04759887605905533,
0.018678275868296623,
-0.02690938115119934,
0.005623967386782169,
-0.0006599316257052124,
-0.02614586241543293,
-0.012886706739664078,
0.010335437022149563,
-0.05005703493952751,
0.012132499366998672,
-0.01675085723400116,
0.01825927197933197,
0.01247701421380043,
-0.034041762351989746,
-0.006378175225108862,
-0.027449430897831917,
-0.03305477648973465,
0.01277497224509716,
0.030596617609262466,
0.01419958658516407,
-0.000024187307644751854,
0.009935054928064346,
-0.03862287476658821,
-0.06823250651359558,
0.04238460212945938,
-0.010437860153615475,
0.054936107248067856,
-0.03784073516726494,
0.004823203664273024,
-0.055047839879989624,
0.03851114213466644,
0.011573826894164085,
0.015167951583862305,
-0.004758025519549847,
-0.046965714544057846,
0.014087852090597153,
0.012197677977383137,
-0.02206755429506302,
0.01232803426682949,
0.05411671847105026,
-0.000695430557243526,
0.0020880375523120165,
0.025419587269425392,
-0.059889666736125946,
0.041230011731386185,
-0.04082031920552254,
0.02901371195912361,
0.018082359805703163,
-0.02916269190609455,
-0.01224423386156559,
-0.005144440568983555,
-0.04301776364445686,
0.010856864042580128,
-0.0318070724606514,
-0.013510557822883129,
-0.01336157787591219,
0.030149679630994797,
0.006913569290190935,
0.022346889600157738,
-0.019143836572766304,
-0.015559022314846516,
-0.012411835603415966,
0.03266370669007301,
0.03646267578005791,
-0.016974326223134995,
-0.010922042652964592,
0.012486324645578861,
0.028492284938693047,
-0.031006310135126114,
0.007807444781064987,
0.005428432021290064,
-0.00012068193609593436,
0.020466027781367302,
0.022011687979102135,
0.004674224648624659,
0.020391536876559258,
-0.029982078820466995,
-0.005917270202189684,
-0.02731907367706299,
-0.004730091895908117,
0.025270609185099602,
-0.016462208703160286,
-0.02042878232896328,
-0.007532764226198196,
0.017253661528229713,
0.0019821226596832275,
-0.03383691608905792,
-0.018380317836999893,
0.058809567242860794,
0.05106264352798462,
-0.009599851444363594,
-0.026071371510624886,
0.01579180173575878,
0.020763985812664032,
-0.021397147327661514,
0.014627901837229729,
-0.001357108005322516,
0.03203054144978523,
-0.02674177847802639,
-0.01877138763666153,
0.0005173537647351623,
0.008640797808766365,
-0.00024863824364729226,
0.04234735667705536,
0.03331549093127251,
-0.0037081872578710318,
-0.005256175063550472,
0.015307620167732239,
-0.012439768761396408,
-0.026797646656632423,
-0.029088202863931656,
0.0006651691510342062,
0.01231872383505106,
0.030540751293301582,
0.009702274575829506,
-0.05728252977132797,
-0.04569939151406288,
0.024581579491496086,
-0.009869876317679882,
0.01232803426682949,
-0.020261181518435478,
0.03903256729245186,
0.05854885280132294,
0.03443283215165138,
0.054302945733070374,
0.01330571062862873,
0.03473079204559326,
-0.022644849494099617,
0.021993065252900124,
-0.036760635673999786,
0.0016969670541584492,
0.028324684128165245,
-0.006946158595383167,
0.04447031393647194,
0.025885147973895073,
0.0059126149863004684,
-0.008910822682082653,
0.03664889931678772,
0.019721131771802902,
0.01812891475856304,
-0.008426640182733536,
0.010354058817029,
0.013771271333098412,
0.04614632949233055,
-0.02162061631679535,
0.02644382044672966,
0.026332085952162743,
-0.004099257756024599,
-0.027412185445427895,
-0.0024581579491496086,
-0.021136434748768806,
-0.02521474100649357,
-0.009869876317679882,
-0.003037780523300171,
0.030447637662291527,
0.004122535698115826,
0.015912847593426704,
0.004306431859731674,
0.01685328036546707,
-0.018678275868296623,
-0.03143462538719177,
0.03122977912425995,
0.0019460417097434402,
-0.012635304592549801,
0.014972416684031487,
0.0036895647644996643,
0.02162061631679535,
-0.03888358920812607,
-0.0024674690794199705,
0.04406061768531799,
0.02298005297780037,
0.029367538169026375,
0.03543844446539879,
0.039889197796583176,
0.025754790753126144,
-0.033296868205070496,
-0.059405483305454254,
0.03201192244887352,
0.010409926064312458,
0.04644428566098213,
0.02931167185306549,
0.020615005865693092,
0.025605812668800354,
0.008561652153730392,
0.016359785571694374,
0.025866525247693062,
0.07236667722463608,
0.014590657316148281,
-0.011480715125799179,
0.012765660881996155,
0.05124886706471443,
-0.05638865381479263,
-0.09236714988946915,
-0.01042854879051447,
-0.0060103824362158775,
0.0399264432489872,
-0.04569939151406288,
0.004080635495483875,
0.023371122777462006,
0.023650459945201874,
-0.08678042143583298,
-0.011741428636014462,
0.013557113707065582,
-0.0371144600212574,
0.0163225419819355,
0.01685328036546707,
-0.00732326228171587,
-0.026369331404566765,
0.032402992248535156,
-0.042757049202919006,
-0.007691054604947567,
0.03813869133591652,
0.031136667355895042,
0.03547568991780281,
0.040522363036870956,
0.05255243927240372,
0.0468912236392498,
-0.03771037608385086,
-0.014851370826363564,
0.020335670560598373,
0.018445495516061783,
0.023855306208133698,
0.002940012840554118,
-0.03862287476658821,
-0.00904583465307951,
0.046220820397138596,
0.018398940563201904,
0.006103494670242071,
0.007840034551918507,
-0.035848136991262436,
-0.013603669591248035,
-0.005987104494124651,
0.021806839853525162,
0.012151122093200684,
0.03873461112380028,
0.04610908403992653,
0.01719779521226883,
-0.02959100715816021,
-0.005758979823440313,
-0.05635140836238861,
0.05724528431892395,
-0.02014944702386856,
0.00407132413238287,
0.005256175063550472,
-0.04022440314292908,
-0.03996368870139122,
0.023520102724432945,
0.004785959143191576,
0.010381992906332016,
-0.03746828809380531,
0.010782375000417233,
0.028510907664895058,
-0.003698875894770026,
0.0032845274545252323,
0.0031215811613947153,
0.010158523917198181,
0.016974326223134995,
0.013892317190766335,
0.02361321449279785,
-0.03052212856709957,
-0.022775206714868546,
-0.013501246459782124,
-0.023836683481931686,
-0.007500174921005964,
0.005684490315616131,
0.02372494898736477,
-0.021899953484535217,
-0.024823671206831932,
0.028361927717924118,
-0.04402337595820427,
-0.06219884380698204,
0.06756209582090378,
-0.011024465784430504,
0.054936107248067856,
-0.02735631912946701,
-0.043948885053396225,
-0.003063386306166649,
0.0035336019936949015,
0.0212109237909317,
-0.007965735159814358,
0.009287926368415356,
-0.00992574356496334,
0.011806607246398926,
0.012672549113631248,
-0.02642519772052765,
0.010363370180130005,
-0.00034014994162134826,
-0.025866525247693062,
-0.007462930399924517,
-0.008445261977612972,
0.00474638631567359,
0.004364626947790384,
0.004259875975549221,
0.06253404915332794,
-0.00032792898127809167,
-0.005963826552033424,
-0.007765544578433037,
0.046369798481464386,
-0.03549431264400482,
-0.028752999380230904,
-0.00279801688157022,
-0.017849579453468323,
0.012514258734881878,
-0.043352968990802765,
0.03651854395866394,
-0.0009072604589164257,
-0.020186690613627434,
-0.025270609185099602,
-0.010773063637316227,
-0.014367188327014446,
-0.0067366561852395535,
0.01622011885046959,
0.026667289435863495,
0.00107893580570817,
0.005051328334957361,
0.06238507106900215,
0.04044787213206291,
-0.028790244832634926,
0.01970250904560089,
-0.027766011655330658,
-0.006801834795624018,
0.013640914112329483,
0.0014595312532037497,
-0.025587189942598343,
0.019423171877861023,
-0.01955352909862995,
-0.00449032848700881,
-0.0435764379799366,
0.03188156336545944,
-0.057617731392383575,
0.013277777470648289,
-0.008989967405796051,
-0.05199376493692398,
0.005465677008032799,
0.03787798061966896,
0.012495636008679867,
0.02811983786523342,
-0.039144303649663925,
-0.003587141400203109,
0.0018366350559517741,
0.03460043668746948,
0.01900416798889637,
-0.02554994449019432,
-0.0028631952591240406,
0.003277543932199478,
-0.04480551555752754,
-0.04715193808078766,
0.00291440705768764,
0.0391070581972599,
-0.006424731109291315,
-0.020615005865693092,
0.03564329072833061,
-0.0319746769964695,
0.042161133140325546,
-0.0022568032145500183,
-0.0675993412733078,
-0.011294490657746792,
-0.03767313435673714,
0.026350708678364754,
-0.015130707062780857,
0.04417235404253006,
0.015586956404149532,
0.022011687979102135,
-0.012858773581683636,
-0.008012291043996811,
-0.012840150855481625,
-0.015968715772032738,
-0.001979794818907976,
-0.00236737378872931,
0.022440003231167793,
0.055383045226335526,
0.026555554941296577,
0.04640704393386841,
0.02838055044412613,
0.02672315575182438,
-0.07061617076396942,
0.02811983786523342,
0.058213651180267334,
0.03609022870659828,
-0.004439116921275854,
-0.020223936066031456,
-0.011806607246398926,
-0.03743104264140129,
0.009474150836467743,
-0.0020030727609992027,
-0.010512350127100945,
-0.03227263316512108,
0.024711936712265015,
-0.01970250904560089,
-0.05139784887433052,
-0.0553457997739315,
-0.034451454877853394,
0.006406108383089304,
-0.010512350127100945,
-0.0010009544203057885,
0.0006797179230488837,
0.0076025985181331635,
0.010726507753133774,
0.01298912987112999,
0.014460300095379353,
0.0037174983881413937,
0.007639843039214611,
-0.016257362440228462,
-0.0014839732320979238,
-0.010707885026931763,
0.006326963193714619,
-0.01804511435329914,
-0.04551316797733307,
-0.057021815329790115,
-0.010800996795296669,
-0.03260783851146698,
0.02616448514163494,
0.009334482252597809,
0.039889197796583176,
-0.009297237731516361,
0.041378993541002274,
-0.03921879455447197,
-0.032049164175987244,
-0.02011220157146454,
-0.0027491331566125154,
0.03130427002906799,
0.01981424354016781,
-0.04852999746799469,
0.0064666313119232655,
-0.008552340790629387,
-0.00907842442393303,
-0.028343306854367256,
-0.030745597556233406,
-0.010028166696429253,
0.0234456118196249,
-0.004155125003308058,
-0.012644615955650806,
-0.004252892453223467,
-0.03122977912425995,
-0.010949976742267609,
0.018808633089065552,
-0.004269187338650227,
0.02359459176659584,
-0.044246844947338104,
0.04599735140800476,
-0.036872368305921555,
0.03696548193693161,
-0.008296282961964607,
-0.01105239987373352,
-0.00034393262467347085,
-0.005768291186541319,
0.019925978034734726,
0.024693313986063004,
-0.031024932861328125,
-0.026630043983459473,
-0.014590657316148281,
-0.0015060872538015246,
0.058064669370651245,
0.03190018609166145,
0.01923694834113121,
0.02404152974486351,
-0.030540751293301582,
-0.028175704181194305,
0.003587141400203109,
-0.04778509959578514,
-0.010698573663830757,
0.029833098873496056,
-0.019795620813965797,
0.006056938320398331,
0.016210807487368584,
0.005447054747492075,
-0.0225331149995327,
0.06160292774438858,
0.03126702457666397,
0.025624433532357216,
0.053260087966918945,
-0.02208617702126503,
-0.0007059056661091745,
0.049684587866067886,
0.00022506926325149834,
-0.03955399617552757,
-0.012272167019546032,
-0.0336320698261261,
-0.03888358920812607,
-0.01042854879051447,
-0.015959404408931732,
-0.001315207569859922,
0.0308200865983963,
-0.005614656023681164,
0.009148258715867996,
-0.03337135538458824,
0.03750552982091904,
-0.0024791082832962275,
0.0022649504244327545,
-0.04461929202079773,
-0.013333644717931747,
0.01777508854866028,
-0.01668567769229412,
-0.002695593750104308,
-0.01165762823075056,
-0.008054192177951336,
-0.0045066229067742825,
0.016639122739434242,
-0.04145348072052002,
-0.01411578617990017,
-0.005768291186541319,
0.02135990373790264,
-0.024693313986063004,
-0.024562956765294075,
-0.024078775197267532,
0.001133639132604003,
-0.03080146387219429,
-0.01938592828810215,
0.0016271329950541258,
-0.0531856007874012,
0.0775437131524086,
0.00992574356496334,
-0.007900556549429893,
0.021248169243335724,
0.006205917801707983,
-0.013864383101463318,
0.03126702457666397,
-0.006541121285408735,
-0.015382109209895134,
-0.02314765378832817,
-0.016415653750300407,
-0.03288717567920685,
-0.019907355308532715,
-0.0318070724606514,
0.02852953039109707,
-0.022886941209435463,
0.047859590500593185,
0.05899579077959061,
-0.017244350165128708,
0.0023394401650875807,
0.04808305948972702,
-0.014087852090597153,
0.05817640572786331,
0.022793827578425407,
0.0186410304158926,
0.018501363694667816,
-0.0006017365958541632,
0.011313113383948803,
0.012579437345266342,
0.02703973837196827,
-0.03353895992040634,
0.004827859345823526,
0.007947113364934921,
0.04268256202340126,
-0.057468753308057785
] |
Decoding visual representations from human brain activity has emerged as a
thriving research domain, particularly in the context of brain-computer
interfaces. Our study presents an innovative method that employs to classify
and reconstruct images from the ImageNet dataset using electroencephalography
(EEG) data from subjects that had viewed the images themselves (i.e. "brain
decoding"). We analyzed EEG recordings from 6 participants, each exposed to 50
images spanning 40 unique semantic categories. These EEG readings were
converted into spectrograms, which were then used to train a convolutional
neural network (CNN), integrated with a knowledge distillation procedure based
on a pre-trained Contrastive Language-Image Pre-Training (CLIP)-based image
classification teacher network. This strategy allowed our model to attain a
top-5 accuracy of 80%, significantly outperforming a standard CNN and various
RNN-based benchmarks. Additionally, we incorporated an image reconstruction
mechanism based on pre-trained latent diffusion models, which allowed us to
generate an estimate of the images which had elicited EEG activity. Therefore,
our architecture not only decodes images from neural activity but also offers a
credible image reconstruction from EEG only, paving the way for e.g. swift,
individualized feedback experiments. Our research represents a significant step
forward in connecting neural signals with visual cognition. | [
0.017204858362674713,
0.021732451394200325,
-0.02328476868569851,
-0.043788302689790726,
-0.0015351374167948961,
-0.010114321485161781,
0.05258477106690407,
0.025580907240509987,
0.011763659305870533,
0.03896964713931084,
0.022120531648397446,
-0.06778454780578613,
-0.001194557175040245,
-0.05300518870353699,
0.049027375876903534,
0.048995036631822586,
0.0330999456346035,
0.006168846972286701,
-0.035767994821071625,
-0.026939185336232185,
-0.0059545948170125484,
-0.049674175679683685,
-0.02127969264984131,
-0.10419934242963791,
0.01945248432457447,
0.022832009941339493,
0.04184790700674057,
-0.0072805327363312244,
-0.013679802417755127,
0.041944924741983414,
0.029785100370645523,
0.0093624172732234,
-0.018029525876045227,
-0.028345972299575806,
-0.005093543324619532,
-0.024772407487034798,
0.02030949294567108,
0.023947738111019135,
0.003387610660865903,
0.01245896890759468,
0.02968808077275753,
-0.012895558029413223,
0.01659039780497551,
-0.04052196815609932,
-0.017172517254948616,
-0.028507672250270844,
-0.045793380588293076,
-0.09126336127519608,
-0.010518571361899376,
-0.04644018039107323,
-0.009685817174613476,
-0.04437042027711868,
0.024465177208185196,
0.03274420648813248,
-0.053554970771074295,
-0.02478857710957527,
0.0481865368783474,
-0.01177174411714077,
0.05698300525546074,
0.015943599864840508,
0.06700839102268219,
0.03250165656208992,
-0.06393609941005707,
0.0033936742693185806,
0.01723719760775566,
-0.026680465787649155,
0.04230066388845444,
-0.03829050809144974,
0.03761136904358864,
0.012588328681886196,
-0.03586501255631447,
-0.030011480674147606,
-0.0594731830060482,
0.005109713412821293,
-0.0005735289305448532,
0.00521481828764081,
0.03366589546203613,
0.06319227814674377,
-0.02491793781518936,
0.040457285940647125,
0.04556700214743614,
0.04424106329679489,
0.019387803971767426,
0.03638245165348053,
0.022670309990644455,
-0.04239768534898758,
-0.034571412950754166,
-0.085636205971241,
0.02474006824195385,
0.011488770134747028,
-0.03651181235909462,
0.01162621472030878,
0.016452953219413757,
-0.014997655525803566,
0.005889914929866791,
-0.03318079560995102,
0.025710266083478928,
-0.0035755864810198545,
-0.023899229243397713,
0.006039487197995186,
-0.05669194459915161,
-0.0049803536385297775,
-0.03382759541273117,
-0.030787639319896698,
0.026421746239066124,
-0.029494041576981544,
-0.046343158930540085,
-0.01132707018405199,
0.009241143241524696,
0.12121015787124634,
-0.05882638320326805,
-0.03557395190000534,
-0.03841986879706383,
-0.024206457659602165,
0.005287582986056805,
0.024174118414521217,
-0.038161151111125946,
0.01249939389526844,
0.029251491650938988,
-0.019937584176659584,
0.01856313645839691,
0.013898096978664398,
-0.02619536593556404,
0.06810794770717621,
-0.02883107215166092,
0.08802936226129532,
-0.00024356030917260796,
0.0024942192249000072,
0.037773068994283676,
0.06031402200460434,
-0.016784438863396645,
-0.023947738111019135,
-0.025661757215857506,
0.009176462888717651,
0.03686755150556564,
0.0013107788981869817,
-0.03822582960128784,
0.027117054909467697,
0.04695761948823929,
-0.03083615005016327,
0.036156073212623596,
-0.0011915253708139062,
0.013429167680442333,
-0.005243115592747927,
0.00006632217991864309,
0.01961418427526951,
0.04850993677973747,
0.06869006901979446,
-0.006953090894967318,
-0.0054856655187904835,
-0.08996976166963577,
0.09184548258781433,
-0.04278576374053955,
0.039810486137866974,
-0.0033431430347263813,
0.016574228182435036,
0.02291285991668701,
-0.004539721645414829,
-0.041944924741983414,
-0.005243115592747927,
0.05006225407123566,
-0.003203677013516426,
0.04663421958684921,
0.016881458461284637,
0.04307682439684868,
0.01843377575278282,
-0.011577704921364784,
-0.01524829026311636,
-0.06674966961145401,
0.026890674605965614,
0.01752825640141964,
0.015183609910309315,
-0.0387432686984539,
0.018611645326018333,
0.002791342558339238,
0.05501026660203934,
0.07554613798856735,
-0.038031790405511856,
-0.11461281031370163,
0.003514949232339859,
-0.041783224791288376,
-0.0022334782406687737,
0.06458289176225662,
0.003296654438599944,
0.024157948791980743,
0.010179001837968826,
0.06542373448610306,
0.005619067698717117,
0.052358392626047134,
-0.022929029539227486,
0.02396390773355961,
0.011601959355175495,
0.046860598027706146,
-0.029801271855831146,
0.043400224298238754,
-0.06784923374652863,
-0.006815645843744278,
-0.00445887167006731,
0.03499183431267738,
0.005788852460682392,
-0.03274420648813248,
-0.06251313537359238,
0.007203725632280111,
0.018886534497141838,
-0.032566338777542114,
-0.01224067434668541,
0.02026098407804966,
-0.028394483029842377,
-0.006100124679505825,
-0.04278576374053955,
-0.003892922308295965,
-0.04103940725326538,
-0.07470530271530151,
-0.0508384145796299,
-0.009427097626030445,
0.007575634866952896,
-0.01625891402363777,
-0.039648789912462234,
0.028184272348880768,
0.02947787195444107,
0.020293323323130608,
0.03161230683326721,
0.05054735392332077,
0.01422958169132471,
-0.04799249768257141,
-0.04999757558107376,
-0.016048703342676163,
-0.009548372589051723,
0.018708664923906326,
-0.023171579465270042,
-0.04162152484059334,
-0.0007892971043474972,
0.07683973759412766,
-0.019905243068933487,
0.023640509694814682,
-0.08078521490097046,
0.03728797286748886,
-0.029235322028398514,
0.012782367877662182,
-0.010615590959787369,
-0.034830134361982346,
-0.03929304704070091,
-0.02018013410270214,
0.023187749087810516,
0.011601959355175495,
0.04931843653321266,
0.003969729878008366,
0.03466843441128731,
0.06099316105246544,
0.004060686100274324,
0.005869702436029911,
0.0304157305508852,
0.0017948676832020283,
0.05656258761882782,
-0.01177174411714077,
-0.0031491033732891083,
0.03125656768679619,
0.025047296658158302,
0.0008837904315441847,
0.01298449281603098,
0.048768654465675354,
-0.0070420256815850735,
-0.04136280715465546,
0.01260449830442667,
0.0064154393039643764,
0.01287938840687275,
0.03534757345914841,
-0.023349449038505554,
0.008246689103543758,
-0.08492472767829895,
-0.003971750847995281,
0.007992012426257133,
-0.06154293939471245,
-0.05695066601037979,
-0.010308361612260342,
-0.019177595153450966,
0.06008763983845711,
-0.03702925145626068,
0.028588522225618362,
-0.008521579205989838,
0.038322851061820984,
0.006682243663817644,
0.012467053718864918,
0.04052196815609932,
-0.019048234447836876,
-0.04330320283770561,
-0.0005785820540040731,
0.006116294302046299,
0.0012885452015325427,
0.016703588888049126,
0.009192632511258125,
0.02333327941596508,
-0.08531280606985092,
0.004737803712487221,
-0.0036463302094489336,
-0.027262583374977112,
-0.04572869837284088,
-0.01932312548160553,
0.02750513330101967,
-0.004398234188556671,
-0.004070792347192764,
0.007838397286832333,
-0.05588344857096672,
0.005974807310849428,
-0.05898808315396309,
0.0002470974868629128,
0.031288910657167435,
0.05326391011476517,
-0.005380560643970966,
-0.01320278737694025,
0.014189156703650951,
0.029025111347436905,
-0.0007241118582896888,
-0.02763449400663376,
-0.0294293612241745,
0.05187329277396202,
0.002465921686962247,
-0.0008944019791670144,
0.013752566650509834,
0.023268599063158035,
0.02018013410270214,
0.00479844119399786,
-0.1069158986210823,
0.04909205436706543,
-0.014213411137461662,
0.03505651280283928,
0.06028168275952339,
0.01856313645839691,
0.03909900784492493,
-0.013922351412475109,
-0.018951214849948883,
-0.015943599864840508,
-0.0008504398283548653,
0.018741006031632423,
-0.0028438949957489967,
0.026243874803185463,
-0.03719095140695572,
0.016242744401097298,
-0.0034947367385029793,
0.011318985372781754,
0.011682809330523014,
-0.05678896605968475,
-0.02427113801240921,
-0.02406092919409275,
0.022880520671606064,
-0.024546027183532715,
-0.02094012312591076,
0.006880326196551323,
-0.051032453775405884,
-0.00891774334013462,
0.000883285072632134,
-0.038128811866045,
-0.06998366862535477,
0.020923953503370285,
-0.04598741978406906,
-0.03130507841706276,
-0.0035290978848934174,
-0.010615590959787369,
0.016072958707809448,
0.0021445434540510178,
-0.0018706644186750054,
-0.05203499272465706,
-0.014278091490268707,
-0.025774946436285973,
-0.07069514691829681,
-0.04708697646856308,
-0.011424089781939983,
-0.03274420648813248,
0.031676989048719406,
0.023009879514575005,
0.046472519636154175,
0.05306987091898918,
-0.10381126403808594,
-0.0009009710047394037,
-0.01471468061208725,
-0.007175428327172995,
-0.02414177916944027,
-0.010324531234800816,
0.012919813394546509,
0.055818766355514526,
-0.014585320837795734,
0.007401807699352503,
0.00016132080054376274,
0.04734569787979126,
-0.02763449400663376,
0.042333003133535385,
0.016145722940564156,
0.010607506148517132,
-0.06273952126502991,
0.05174393206834793,
0.025710266083478928,
-0.10601037740707397,
-0.005069288425147533,
-0.022249890491366386,
0.07819801568984985,
0.05902042239904404,
-0.027877043932676315,
0.028928091749548912,
0.03599437326192856,
0.03767605125904083,
-0.05895574390888214,
0.027747683227062225,
-0.005796937271952629,
-0.03505651280283928,
-0.03651181235909462,
-0.01027602143585682,
-0.022880520671606064,
-0.006694371346384287,
0.009354332461953163,
0.0052552432753145695,
-0.01654997281730175,
-0.028734052553772926,
0.023689018562436104,
-0.015531264245510101,
0.013154277577996254,
-0.011658554896712303,
-0.03360121697187424,
0.03654415160417557,
0.020277153700590134,
-0.027715343981981277,
-0.046731237322092056,
0.039519429206848145,
0.035638634115457535,
0.012127484194934368,
-0.02554856613278389,
0.016355933621525764,
0.01287938840687275,
-0.00906327273696661,
-0.04094238579273224,
-0.05122649297118187,
0.023559659719467163,
-0.02713322453200817,
0.021037142723798752,
-0.018272075802087784,
-0.03635011240839958,
-0.004673123825341463,
0.010162831284105778,
0.025063466280698776,
-0.0414598248898983,
-0.009823261760175228,
-0.011779829859733582,
-0.0030925085302442312,
-0.02648642472922802,
-0.05921446159482002,
-0.027230244129896164,
0.00440227659419179,
-0.006031401921063662,
-0.016266997903585434,
0.0197112038731575,
-0.0387432686984539,
-0.05960254371166229,
-0.0027832575142383575,
-0.06771986931562424,
-0.056497905403375626,
0.029202980920672417,
-0.021004801616072655,
-0.06668499112129211,
-0.04100706800818443,
0.03841986879706383,
-0.018401436507701874,
0.04576104134321213,
0.04893035441637039,
0.0012935983249917626,
-0.0009540287428535521,
0.006625648587942123,
0.03284122794866562,
-0.03864625096321106,
-0.06668499112129211,
0.02068140357732773,
0.04935077577829361,
-0.03955176845192909,
-0.028944261372089386,
-0.0008479132666252553,
0.046892937272787094,
0.008311369456350803,
-0.009208803065121174,
0.01919376477599144,
0.003628138918429613,
0.032081238925457,
-0.011011756025254726,
0.017641447484493256,
-0.0297365915030241,
0.005699917674064636,
-0.020115453749895096,
-0.016946136951446533,
0.03783775120973587,
0.04226832464337349,
0.03382759541273117,
0.03987516835331917,
-0.052778810262680054,
-0.004842908587306738,
-0.01220024935901165,
-0.015029995702207088,
0.027618324384093285,
0.018627814948558807,
-0.059699561446905136,
-0.0394870899617672,
-0.009087528102099895,
0.0562068447470665,
0.030658280476927757,
-0.0028297463431954384,
0.027036204934120178,
0.00728457560762763,
0.01749591715633869,
0.012192163616418839,
0.013162362389266491,
-0.00013997138012200594,
0.006763093639165163,
-0.021134162321686745,
0.025111977010965347,
0.02398007921874523,
-0.01692996732890606,
0.0019171531312167645,
-0.03958410769701004,
0.018061866983771324,
0.00169784773606807,
0.00034133813460357487,
-0.0072805327363312244,
-0.03424801677465439,
0.01723719760775566,
0.0005101123242639005,
0.0012946089264005423,
0.0401015467941761,
0.05132351443171501,
-0.054525166749954224,
0.01680060848593712,
0.018417606130242348,
-0.006019274704158306,
-0.009378587827086449,
-0.014326601289212704,
-0.02700386382639408,
-0.021263523027300835,
-0.02635706588625908,
-0.04935077577829361,
0.024594537913799286,
0.007632229942828417,
0.03450673446059227,
-0.034571412950754166,
0.015644455328583717,
-0.055980466306209564,
0.004008133430033922,
0.050094593316316605,
0.014213411137461662,
0.004232491832226515,
-0.012669178657233715,
-0.03225910663604736,
0.023300940170884132,
-0.07852141559123993,
-0.031418267637491226,
-0.006694371346384287,
0.02234691008925438,
-0.005902042146772146,
-0.001430032541975379,
0.011416004970669746,
-0.007967757061123848,
-0.003238038159906864,
0.023559659719467163,
-0.027618324384093285,
-0.046892937272787094,
0.015094675123691559,
-0.0013208851451054215,
-0.02810342237353325,
0.003628138918429613,
-0.02166777104139328,
0.014189156703650951,
-0.008529664017260075,
-0.014011286199092865,
0.06008763983845711,
0.02398007921874523,
-0.009960707277059555,
-0.015668708831071854,
-0.030609769746661186,
-0.05501026660203934,
0.002664003986865282,
0.010963245294988155,
0.022767329588532448,
0.06668499112129211,
-0.013453422114253044,
0.016307422891259193,
0.011116860434412956,
0.032307617366313934,
0.0008367964182980359,
0.020956292748451233,
0.05627152696251869,
0.005105671007186174,
-0.023996248841285706,
0.0051824781112372875,
-0.025370696559548378,
0.019856734201312065,
-0.0069894734770059586,
0.014019371941685677,
0.04136280715465546,
0.025516226887702942,
0.006286079064011574,
-0.05106479302048683,
0.004604401532560587,
0.029380852356553078,
0.022848179563879967,
0.03212974965572357,
-0.052229031920433044,
-0.014455961063504219,
0.005639280192553997,
0.040845368057489395,
0.010373041033744812,
0.01950099505484104,
-0.003949517384171486,
0.021910320967435837,
-0.016226572915911674,
0.020875442773103714,
-0.01287938840687275,
-0.008739873766899109,
-0.02789321355521679,
0.003642287803813815,
0.008303283713757992,
0.013016832992434502,
-0.020163964480161667,
0.035250551998615265,
0.004984396044164896,
-0.023769868537783623,
-0.04107174649834633,
0.03757902979850769,
-0.005057160742580891,
0.013461506925523281,
-0.01877334527671337,
0.03246931731700897,
-0.01582232490181923,
0.013380657881498337,
-0.00880455318838358,
0.009847517125308514,
0.014706595800817013,
-0.007818184792995453,
-0.005008650943636894,
-0.02234691008925438,
0.004163769539445639,
-0.020422684028744698,
-0.005639280192553997,
-0.023106899112462997,
0.004782271105796099,
0.009435182437300682,
0.03612373396754265,
-0.043012142181396484,
-0.013607037253677845,
-0.04065132513642311,
0.04385298117995262,
-0.006059699691832066,
-0.010332616046071053,
0.03557395190000534,
-0.00955645740032196,
0.07658101618289948,
-0.005934382323175669,
0.022169040516018867,
0.003901007352396846,
0.010526656173169613,
0.03221059963107109,
-0.03373057395219803,
-0.03699691221117973,
0.037934768944978714,
0.04026324674487114,
0.010995585471391678,
-0.006625648587942123,
0.0257587768137455,
0.027197904884815216,
0.023527318611741066,
-0.016574228182435036,
0.024643048644065857,
-0.03267952799797058,
-0.005121840629726648,
-0.0160406194627285,
0.04572869837284088,
0.038193490356206894,
0.02000226452946663,
-0.03169315680861473,
-0.02622770518064499,
0.011893019080162048,
0.024465177208185196,
-0.04026324674487114,
0.02398007921874523,
0.05306987091898918,
0.05695066601037979,
0.009136037901043892,
-0.03300292789936066,
-0.013429167680442333,
0.005752469878643751,
-0.025920476764440536,
-0.009427097626030445,
0.00103993178345263,
0.011375579982995987,
-0.005623110104352236,
-0.024901768192648888,
-0.018223566934466362,
0.01586274988949299,
-0.0217486210167408,
0.020665232092142105,
-0.011165370233356953,
0.03505651280283928,
-0.0004214300715830177,
-0.057823844254016876,
0.016428697854280472,
0.03686755150556564,
0.012555988505482674,
-0.02926766127347946,
0.0135423569008708,
-0.017043158411979675,
0.0011167391203343868,
0.019209934398531914,
0.04414404183626175,
0.01166663970798254,
-0.004422489088028669,
-0.06377439945936203,
0.005974807310849428,
-0.008505408652126789,
0.0070703234523534775,
0.0554630272090435,
0.008367964066565037,
0.03062593936920166,
0.011456429958343506,
0.005776724778115749,
-0.009119868278503418,
0.020746082067489624,
0.03466843441128731,
0.020277153700590134,
0.032275278121232986,
-0.018821856006979942,
-0.029025111347436905,
0.004964183550328016,
0.0474427193403244,
-0.008161797188222408,
-0.0025407078210264444,
-0.019096745178103447,
0.00940284226089716,
0.023090729489922523,
-0.016913797706365585,
-0.013768737204372883,
0.0024275181349366903,
-0.0045195091515779495,
-0.01629125326871872,
-0.007094578351825476,
0.01427000667899847,
-0.0033148457296192646,
-0.037643712013959885,
-0.01566062495112419,
-0.04362660273909569,
-0.028054913505911827,
-0.027796193957328796,
0.01490872073918581,
0.018611645326018333,
-0.04052196815609932,
0.04091004654765129,
-0.02422262914478779,
-0.022427760064601898,
0.05575408786535263,
0.004430574364960194,
0.03369823470711708,
-0.03596203401684761,
-0.030011480674147606,
-0.015143184922635555,
0.013348317705094814,
-0.013534272089600563,
0.018352925777435303,
0.0072805327363312244,
0.012078974395990372,
0.004196109715849161,
-0.022492440417408943,
0.04883333668112755,
0.034053973853588104,
0.026631955057382584,
0.03968112915754318,
0.009669647552073002,
0.00649224640801549,
-0.010267936624586582,
0.04453212022781372,
0.038710929453372955,
0.08647704869508743,
-0.034959495067596436,
0.0072198957204818726,
-0.008153711445629597,
0.02140905149281025,
-0.00440227659419179,
-0.02820044383406639,
0.0006099113961681724,
0.01723719760775566,
0.018094206228852272,
0.05455750972032547,
0.03825816884636879,
-0.025904305279254913,
-0.012927898205816746,
-0.005053118336945772,
-0.01749591715633869,
-0.026001326739788055,
0.018951214849948883,
-0.005251200404018164,
-0.0648416131734848,
0.036188412457704544,
-0.015887003391981125,
0.0354769341647625,
-0.013275552541017532,
-0.029914461076259613,
0.007749462500214577,
-0.028863411396741867,
-0.06894879043102264,
0.033892273902893066,
-0.044596802443265915,
0.015684880316257477,
-0.009370503015816212,
-0.04637549817562103,
-0.05701534450054169,
-0.03841986879706383,
-0.03392461687326431,
-0.01854696497321129,
0.011998124420642853,
0.05255243182182312,
-0.012871303595602512,
0.0021041184663772583,
0.015337225049734116,
0.009701987728476524,
-0.05161457136273384,
-0.06425949931144714,
0.0277638528496027,
0.011391750536859035,
-0.05578642711043358,
-0.013105767779052258,
-0.009321993216872215,
-0.024578368291258812,
-0.007373510394245386,
-0.041944924741983414,
0.003991963341832161,
0.03505651280283928,
0.009572627022862434,
0.0287502221763134,
-0.00308644468896091,
0.012208334170281887,
0.008925828151404858,
0.00786669459193945,
0.002052576746791601,
-0.03334249556064606,
0.057856183499097824,
-0.01856313645839691,
-0.0011854615295305848,
0.015604029409587383,
0.0005209764931350946,
-0.014706595800817013,
0.02976893074810505,
0.0036220753099769354,
-0.014528726227581501,
-0.006710541434586048,
0.008392219431698322,
0.013065342791378498,
-0.011335154995322227,
-0.01859547570347786,
0.005659492686390877,
0.01851462572813034,
0.011933444067835808,
-0.0009206781978718936,
-0.006504374090582132,
0.00583331985399127,
0.005230988375842571,
-0.022540951147675514,
0.053425610065460205,
-0.019517164677381516,
0.02520899660885334,
0.009799007326364517,
-0.01885419525206089,
-0.026712805032730103,
-0.019129084423184395,
0.016752097755670547,
-0.03841986879706383,
-0.024384327232837677,
0.012588328681886196,
-0.03567097336053848,
0.013607037253677845,
-0.018870364874601364,
-0.003923241049051285,
0.0024841129779815674,
0.03373057395219803,
-0.02619536593556404,
-0.005445240531116724,
-0.012636838480830193,
-0.013590867631137371,
0.014067881740629673,
-0.0173988975584507,
0.04171854630112648,
0.00933816283941269,
0.035379912704229355,
0.00172210275195539,
0.028782561421394348,
0.014431705698370934,
-0.027521304786205292,
-0.042074285447597504,
-0.00481865368783474,
-0.02461070753633976,
-0.012070889584720135,
0.001496733631938696,
0.0032117620576173067,
-0.020325662568211555,
0.05012693256139755,
0.01744740642607212,
0.013566612266004086,
0.013332147151231766,
0.02989829145371914,
0.0027468751650303602,
0.043658941984176636,
-0.04424106329679489,
0.021570751443505287,
-0.011440260335803032,
-0.005061203148216009,
-0.007106705568730831,
-0.009621137753129005,
-0.02734343335032463,
-0.02588813565671444,
-0.009483692236244678,
-0.021425221115350723,
-0.03054508939385414,
0.02393156848847866,
0.004422489088028669,
0.0061486344784498215,
0.029623400419950485,
-0.010971331037580967,
-0.04430574178695679,
0.06442119926214218,
-0.01294406782835722,
0.04278576374053955,
0.030787639319896698,
-0.0023244344629347324,
0.012054719030857086,
-0.017075497657060623,
0.011270475573837757,
-0.013792991638183594,
-0.024885596707463264,
-0.00933816283941269,
0.02721407450735569,
-0.0294293612241745,
0.038840290158987045,
0.033892273902893066,
0.04268874228000641,
0.03741732984781265,
-0.006391183938831091,
-0.05177627131342888,
0.027197904884815216,
0.029930630698800087,
-0.02192649058997631,
-0.014140646904706955,
-0.013218957930803299,
-0.007203725632280111,
0.018094206228852272,
-0.0047943987883627415,
-0.0468282587826252,
0.015903174877166748,
-0.029235322028398514,
0.041136424988508224,
-0.005522047635167837,
-0.024465177208185196,
-0.0152078652754426,
-0.010680271312594414,
0.027408113703131676,
-0.02435198798775673,
-0.0016331678489223123,
-0.006920750718563795,
-0.019032064825296402,
-0.03408631682395935,
0.012515563517808914,
0.010647931136190891,
0.001986886141821742,
-0.03434503450989723,
-0.012184078805148602,
0.03599437326192856,
0.022363081574440002,
-0.028426822274923325,
-0.058373622596263885,
-0.022540951147675514,
0.004838866181671619,
0.023689018562436104,
0.0005005113780498505,
0.02495027706027031,
0.011755574494600296,
0.01726953685283661,
-0.03534757345914841,
0.009419012814760208,
-0.007434147875756025,
0.0016796565614640713,
0.013898096978664398,
0.019161425530910492,
-0.02307455986738205,
0.03592969477176666,
-0.005344178061932325,
0.005133968312293291,
-0.05578642711043358,
0.03049658052623272,
-0.004729718901216984,
-0.05940850079059601,
-0.01612955331802368,
0.009718157351016998,
-0.0036887763999402523,
0.014213411137461662,
0.003169315867125988,
-0.022298401221632957,
0.00507737323641777,
-0.0347977951169014,
0.0006776231457479298,
0.037643712013959885,
0.025694096460938454,
0.010049642063677311,
0.01298449281603098,
-0.007955629378557205,
0.04521125927567482,
0.0012349821627140045,
0.04718399792909622,
0.015887003391981125,
0.03159613907337189,
-0.041783224791288376,
0.015539349988102913,
0.022298401221632957,
0.0005290614790283144,
0.005708002485334873,
-0.014197241514921188,
-0.0227349903434515,
-0.016574228182435036,
-0.01885419525206089,
0.01898355595767498,
-0.026114515960216522,
-0.01298449281603098,
-0.001670560915954411,
-0.031757839024066925,
0.0018332713516429067,
-0.07703378051519394
] |
Nuclear Magnetic Resonance (NMR) spectroscopy has served as a powerful
analytical tool for studying molecular structure and dynamics in chemistry and
biology. However, the processing of raw data acquired from NMR spectrometers
and subsequent quantitative analysis involves various specialized tools, which
necessitates comprehensive knowledge in programming and NMR. Particularly, the
emerging deep learning tools is hard to be widely used in NMR due to the
sophisticated setup of computation. Thus, NMR processing is not an easy task
for chemist and biologists. In this work, we present CloudBrain-NMR, an
intelligent online cloud computing platform designed for NMR data reading,
processing, reconstruction, and quantitative analysis. The platform is
conveniently accessed through a web browser, eliminating the need for any
program installation on the user side. CloudBrain-NMR uses parallel computing
with graphics processing units and central processing units, resulting in
significantly shortened computation time. Furthermore, it incorporates
state-of-the-art deep learning-based algorithms offering comprehensive
functionalities that allow users to complete the entire processing procedure
without relying on additional software. This platform has empowered NMR
applications with advanced artificial intelligence processing. CloudBrain-NMR
is openly accessible for free usage at https://csrc.xmu.edu.cn/CloudBrain.html | [
-0.027600426226854324,
-0.028540322557091713,
-0.016836801543831825,
-0.05812899023294449,
0.03428814932703972,
-0.031233487650752068,
-0.001239262754097581,
0.03195648640394211,
0.002340703969821334,
0.10165343433618546,
0.041933849453926086,
-0.01852680742740631,
0.013267002068459988,
-0.004758226685225964,
0.002797096036374569,
-0.002740612020716071,
-0.012408442795276642,
-0.03553532063961029,
-0.04222304746508598,
-0.00989602692425251,
0.04283759370446205,
-0.056285347789525986,
0.049453020095825195,
0.030474340543150902,
-0.010040625929832458,
0.02364201471209526,
0.019683603197336197,
-0.004173050634562969,
-0.05693604424595833,
0.023858914151787758,
0.020027028396725655,
-0.008639818988740444,
0.02483496069908142,
-0.013501976616680622,
-0.02756427600979805,
-0.07273353636264801,
0.0038635171949863434,
-0.005625823512673378,
0.006204221397638321,
-0.038969557732343674,
0.06528666615486145,
-0.026118280366063118,
0.029335619881749153,
0.02371431514620781,
0.029787492007017136,
-0.07938511669635773,
-0.034035101532936096,
-0.106280617415905,
0.004060082137584686,
-0.005341143347322941,
0.03302290663123131,
-0.03730666637420654,
0.017550760880112648,
0.006624463479965925,
0.026732828468084335,
0.03734281659126282,
0.02644362859427929,
0.102593332529068,
0.05248961225152016,
-0.04634413123130798,
0.027817323803901672,
0.02577485702931881,
-0.023425115272402763,
-0.0254314336925745,
0.01874370686709881,
0.018617182970046997,
0.015562518499791622,
-0.0245096106082201,
-0.021961046382784843,
0.01503834594041109,
-0.046127233654260635,
0.01414363645017147,
-0.009136879816651344,
-0.05042906850576401,
-0.03618602082133293,
-0.0038589986506849527,
0.002914583310484886,
0.028178824111819267,
-0.00044904917012900114,
-0.0018651073332875967,
-0.0006523921620100737,
0.05567079782485962,
-0.03598719462752342,
0.01182100735604763,
0.06091253086924553,
0.006832325365394354,
-0.06958849728107452,
-0.058671239763498306,
0.022105645388364792,
0.008020752109587193,
-0.03327595442533493,
0.06731105595827103,
0.026317104697227478,
0.036692116409540176,
0.05021216720342636,
-0.04139159992337227,
-0.0049751256592571735,
0.006719356868416071,
-0.03396280109882355,
0.023479340597987175,
0.025467583909630775,
0.006439195480197668,
0.038029663264751434,
-0.0511520653963089,
-0.030130915343761444,
-0.03479424864053726,
0.005671010818332434,
0.008314469829201698,
-0.00022042947239242494,
0.138092502951622,
0.012245768681168556,
-0.057297542691230774,
0.0018797932425513864,
-0.03645714372396469,
-0.010682286694645882,
0.010266562923789024,
-0.04507888853549957,
-0.06441906839609146,
-0.020750025287270546,
-0.02490725927054882,
0.023822763934731483,
0.03313135355710983,
-0.06340686976909637,
0.010212338529527187,
-0.06474441289901733,
0.08574748784303665,
-0.01847258396446705,
-0.06644345819950104,
0.010203300975263119,
0.025069935247302055,
-0.02915486879646778,
0.008323507383465767,
0.003020773408934474,
-0.07996351271867752,
-0.012074056081473827,
-0.005268843378871679,
0.06629885733127594,
0.03831886127591133,
0.028124598786234856,
-0.03868035972118378,
-0.023732388392090797,
-0.04388594254851341,
-0.045729584991931915,
0.012110206298530102,
0.006814250256866217,
0.023425115272402763,
-0.07248048484325409,
0.059611134231090546,
-0.01023041270673275,
-0.009941213764250278,
-0.1061360165476799,
0.030438190326094627,
0.012507854960858822,
-0.06253927201032639,
0.001831216854043305,
-0.000009999463145504706,
0.029407918453216553,
-0.022756343707442284,
-0.029209094122052193,
-0.028576470911502838,
0.009570677764713764,
-0.04764552786946297,
0.04670562967658043,
-0.02510608360171318,
0.029064495116472244,
-0.004970606882125139,
0.053501807153224945,
-0.013086252845823765,
-0.031179262325167656,
0.04536808654665947,
-0.018346058204770088,
0.02105729840695858,
-0.010772661305963993,
0.028214972466230392,
-0.023425115272402763,
0.040162503719329834,
0.015155833214521408,
-0.0360233448445797,
-0.011107047088444233,
-0.03958410769701004,
-0.030528564006090164,
-0.013628500513732433,
0.03799351304769516,
-0.0006766803562641144,
-0.005092612933367491,
0.01415267400443554,
0.06799790263175964,
0.006272002123296261,
0.05736984312534332,
-0.017315788194537163,
-0.01944863051176071,
-0.007880671881139278,
0.03911415860056877,
-0.026064055040478706,
0.06640730798244476,
-0.05447785183787346,
-0.013655613176524639,
0.04124700278043747,
-0.024021588265895844,
-0.03526419773697853,
-0.07266123592853546,
-0.005359217990189791,
0.0569721944630146,
0.020641574636101723,
-0.0071395994164049625,
0.0153456199914217,
0.012055981904268265,
-0.04815162718296051,
0.0008156314142979681,
0.00767280999571085,
-0.01652952842414379,
0.030528564006090164,
-0.09586945176124573,
-0.04623568430542946,
0.010564799420535564,
-0.021039223298430443,
0.0024265600368380547,
-0.0730227380990982,
-0.03658366948366165,
0.031323861330747604,
0.0007986861746758223,
0.013366414234042168,
0.08473529666662216,
-0.062141627073287964,
-0.02702202834188938,
-0.03658366948366165,
-0.015454068779945374,
0.029642893001437187,
-0.004367356188595295,
0.019412480294704437,
0.010402125306427479,
0.05621304735541344,
0.03434237465262413,
0.012887428514659405,
-0.024654211476445198,
-0.02497955970466137,
0.09464035928249359,
-0.012074056081473827,
-0.03329402953386307,
0.012733791954815388,
-0.016122842207551003,
-0.019502853974699974,
-0.028666846454143524,
-0.034505050629377365,
0.006809731479734182,
-0.015363694168627262,
-0.006850400473922491,
0.05816514045000076,
0.0360233448445797,
0.030438190326094627,
0.002943954896181822,
-0.024021588265895844,
0.015354656614363194,
0.03280600532889366,
-0.03784891217947006,
-0.021003074944019318,
0.03349285572767258,
0.023533565923571587,
-0.024003513157367706,
-0.02458191104233265,
0.01544503215700388,
-0.017550760880112648,
0.0033529005013406277,
0.019430555403232574,
-0.011351059190928936,
0.017903223633766174,
0.03571607172489166,
-0.03918645903468132,
0.04594648256897926,
0.02378661371767521,
-0.008183427155017853,
0.015589631162583828,
0.016113804653286934,
-0.019701678305864334,
-0.04211459681391716,
-0.06680496037006378,
0.04359674081206322,
0.002022133208811283,
0.003920001443475485,
-0.009588752873241901,
0.011305871419608593,
0.009335704147815704,
0.06517821550369263,
-0.002018744358792901,
-0.022882867604494095,
-0.008784417994320393,
0.01865333318710327,
-0.059466537088155746,
-0.04757322743535042,
0.02709432691335678,
-0.02111152373254299,
-0.020677724853157997,
-0.051513563841581345,
0.03235413134098053,
0.013782138004899025,
-0.01734289899468422,
-0.015625780448317528,
-0.02185259573161602,
0.002354260301217437,
0.04189769923686981,
-0.02219601906836033,
-0.017785735428333282,
-0.0000503415176353883,
0.009444152936339378,
0.01646626554429531,
0.02790769934654236,
0.08336159586906433,
0.05599614605307579,
-0.00816987082362175,
0.0163397416472435,
0.04388594254851341,
-0.0052372124046087265,
0.00003713834303198382,
-0.010709398426115513,
0.007754147052764893,
0.05107976496219635,
0.01503834594041109,
-0.04558498412370682,
0.02530490793287754,
-0.009281478822231293,
0.01924980618059635,
0.021201899275183678,
-0.12240345776081085,
0.015969205647706985,
-0.02490725927054882,
-0.015454068779945374,
0.021888745948672295,
0.013203740119934082,
0.011784857138991356,
0.017713436856865883,
-0.006308152340352535,
-0.030004391446709633,
-0.03824656084179878,
0.06163552775979042,
0.0027677244506776333,
-0.0306912399828434,
-0.027076251804828644,
0.008450032211840153,
-0.012028869241476059,
0.01812915876507759,
-0.02610020525753498,
-0.024256562814116478,
-0.030908137559890747,
0.03533649817109108,
0.006475345231592655,
-0.04070475324988365,
-0.02783539891242981,
0.03788506239652634,
0.03334825485944748,
0.014622622169554234,
0.0010415681172162294,
-0.05068211629986763,
-0.0013273779768496752,
0.007478504441678524,
0.009435116313397884,
-0.024220412597060204,
-0.04988681897521019,
-0.022105645388364792,
-0.028142673894762993,
0.02915486879646778,
-0.014857596717774868,
-0.011839082464575768,
0.0020390786230564117,
-0.003404865739867091,
-0.060081083327531815,
0.015779418870806694,
-0.04728402942419052,
-0.02622673101723194,
0.020623501390218735,
0.039945606142282486,
0.032245684415102005,
0.0316130593419075,
-0.022141795605421066,
0.014414760284125805,
-0.05017601698637009,
-0.027329301461577415,
-0.005969247315078974,
0.019683603197336197,
-0.01827375963330269,
0.01458647195249796,
0.013673688285052776,
0.013764062896370888,
-0.005304993130266666,
-0.010637098923325539,
0.041536200791597366,
-0.011197421699762344,
0.00803882721811533,
0.011332984082400799,
0.00959779042750597,
0.06065947934985161,
-0.04392209276556969,
-0.018635258078575134,
-0.031450387090444565,
-0.0410662516951561,
-0.01894253119826317,
-0.020370451733469963,
-0.02796192467212677,
0.02709432691335678,
0.05368255451321602,
0.005219137296080589,
-0.034233927726745605,
0.035571470856666565,
0.023895064368844032,
-0.053971756249666214,
-0.028395721688866615,
0.01872563175857067,
-0.023226290941238403,
-0.07027534395456314,
0.026859352365136147,
0.0430544950067997,
0.003086295211687684,
-0.0669134110212326,
0.005842722486704588,
0.01899675652384758,
-0.007202861364930868,
-0.012182505801320076,
0.0029326581861823797,
0.016321666538715363,
-0.037632014602422714,
-0.020641574636101723,
0.008016233332455158,
0.02855839766561985,
0.02816074900329113,
0.02018970251083374,
-0.0369451679289341,
0.07584242522716522,
0.05140511319041252,
-0.07634852081537247,
-0.004105269443243742,
-0.039692558348178864,
0.005973766092211008,
0.011956569738686085,
-0.002390410052612424,
0.004466768354177475,
-0.02910064533352852,
-0.027130477130413055,
0.08321700245141983,
0.004595552105456591,
-0.05964728444814682,
-0.007320348639041185,
-0.0345231257379055,
-0.005277880933135748,
-0.0528511106967926,
-0.035300347954034805,
-0.01833702065050602,
-0.024057738482952118,
-0.0163397416472435,
0.027329301461577415,
-0.0014267901424318552,
-0.05082671716809273,
-0.039222609251737595,
0.014297273010015488,
-0.04435589164495468,
-0.02736545167863369,
0.048187777400016785,
0.027058176696300507,
-0.1067144125699997,
0.011658333241939545,
0.0571167953312397,
0.00015928536595311016,
0.005106169264763594,
0.021238047629594803,
-0.0005394238396547735,
-0.032173383980989456,
0.014324385672807693,
0.009263403713703156,
-0.036240242421627045,
-0.04309064522385597,
0.00916851032525301,
0.03193841129541397,
0.047717828303575516,
0.004604589659720659,
0.015092570334672928,
0.039620257914066315,
-0.012272880412638187,
-0.02165377140045166,
0.04164465144276619,
-0.0488746240735054,
0.01613187976181507,
-0.014803371392190456,
0.04045170545578003,
-0.04403053969144821,
-0.017821885645389557,
-0.04656103253364563,
-0.029932091012597084,
0.03074546344578266,
0.018816007301211357,
0.013628500513732433,
0.005517373792827129,
0.0008060291293077171,
-0.02299131639301777,
-0.0018402542918920517,
-0.025865230709314346,
-0.035697996616363525,
0.0005278445896692574,
-0.024654211476445198,
-0.032589107751846313,
-0.0002753603330347687,
0.06257542222738266,
0.025322983041405678,
0.024816885590553284,
-0.048983074724674225,
-0.017641136422753334,
-0.02830534800887108,
-0.06275617331266403,
0.050862867385149,
-0.01023041270673275,
0.008391288109123707,
-0.013276039622724056,
0.028052298352122307,
0.016719315201044083,
0.016231290996074677,
-0.03022129088640213,
-0.017035625874996185,
0.02011740207672119,
0.006226814817637205,
-0.036240242421627045,
-0.01457743439823389,
0.0009461098816245794,
0.02317206561565399,
0.061020977795124054,
0.016375890001654625,
0.025919456034898758,
0.00969720259308815,
0.002259366912767291,
0.0032286352943629026,
0.013104327954351902,
0.0023971882183104753,
0.00797104649245739,
-0.025196459144353867,
-0.00175665772985667,
0.026118280366063118,
-0.020478900521993637,
-0.025955606251955032,
0.011640258133411407,
0.007754147052764893,
0.015896905213594437,
-0.0017577874241396785,
-0.02828727290034294,
0.010673249140381813,
-0.03595104441046715,
0.059611134231090546,
-0.0033845314756035805,
0.001138156047090888,
-0.019105205312371254,
0.05003141984343529,
-0.0012437814148142934,
-0.011034747585654259,
-0.002132842317223549,
0.023497415706515312,
-0.02197912149131298,
-0.006204221397638321,
0.03672826662659645,
-0.013908661901950836,
-0.019502853974699974,
-0.03719821572303772,
0.03235413134098053,
-0.0531403087079525,
-0.048730023205280304,
0.021816445514559746,
-0.0006021212902851403,
0.008865755051374435,
0.002989142434671521,
-0.000029883656679885462,
0.004966088104993105,
-0.011830044910311699,
0.020225852727890015,
0.04627183452248573,
0.024419236928224564,
0.015336582437157631,
0.0025101564824581146,
-0.035228047519922256,
0.007736071944236755,
0.03472194820642471,
-0.003142779227346182,
0.018318945541977882,
0.002516934648156166,
0.0004753143002744764,
0.01813819631934166,
-0.0031857071444392204,
0.04478968679904938,
-0.020822325721383095,
0.0028422835748642683,
0.020171627402305603,
-0.011495658196508884,
0.015761343762278557,
-0.01079073641449213,
-0.058490488678216934,
0.004604589659720659,
-0.0038070331793278456,
-0.004618145991116762,
0.005576117429882288,
-0.012932615354657173,
0.007776740472763777,
-0.0384996123611927,
-0.001344323274679482,
-0.01493893377482891,
0.037632014602422714,
0.06926315277814865,
-0.04789857566356659,
0.007338423281908035,
0.03748741373419762,
-0.005991840735077858,
-0.001894479151815176,
-0.0012302251998335123,
0.026805128902196884,
0.03220953419804573,
0.02159954607486725,
0.051838912069797516,
0.015408881939947605,
-0.015725193545222282,
0.04536808654665947,
0.05404405668377876,
0.047934725880622864,
0.028775295242667198,
0.04229534789919853,
-0.0039290389977395535,
-0.016023429110646248,
-0.024672286584973335,
-0.015996316447854042,
0.018300872296094894,
0.015291394665837288,
-0.009254366159439087,
-0.004446433857083321,
0.02736545167863369,
-0.006159034091979265,
-0.024401161819696426,
-0.026859352365136147,
-0.0012923578033223748,
0.009652014821767807,
-0.028142673894762993,
0.010384050197899342,
-0.032571032643318176,
-0.02291901782155037,
0.0510074645280838,
-0.02403966337442398,
-0.009968326427042484,
-0.028648771345615387,
0.012390367686748505,
0.03730666637420654,
-0.0049254195764660835,
0.021961046382784843,
-0.05577924847602844,
0.06387682259082794,
-0.020496975630521774,
-0.005499298684298992,
-0.021491097286343575,
0.03520997241139412,
0.053827155381441116,
-0.0009500637534074485,
0.009109767153859138,
-0.019701678305864334,
0.031378086656332016,
0.027672724798321724,
-0.016891026869416237,
-0.0024717473424971104,
0.03824656084179878,
0.0025598625652492046,
0.03461350128054619,
0.02523260936141014,
0.011694482527673244,
0.017243487760424614,
0.006416602060198784,
0.016683164983987808,
0.023804688826203346,
-0.016719315201044083,
-0.01991857774555683,
0.0384996123611927,
0.021689921617507935,
0.01688198931515217,
-0.00651149544864893,
-0.044211290776729584,
-0.011531808413565159,
0.03943950682878494,
0.01275186613202095,
-0.012083093635737896,
0.035697996616363525,
-0.00023102025443222374,
-0.0018187903333455324,
-0.02105729840695858,
-0.04027095437049866,
-0.009950251318514347,
0.016818726435303688,
-0.021003074944019318,
-0.023804688826203346,
0.004948013462126255,
0.002191585721448064,
-0.01547214388847351,
-0.025919456034898758,
-0.03486654907464981,
0.011305871419608593,
0.002215309301391244,
0.030383965000510216,
0.0025304907467216253,
0.010185225866734982,
0.0006348820752464235,
-0.04844082519412041,
-0.0317576602101326,
0.031070813536643982,
-0.049706071615219116,
-0.03699938952922821,
-0.051983512938022614,
-0.00707633700221777,
-0.006050584372133017,
-0.012046944350004196,
0.04775397852063179,
0.02331666648387909,
-0.02908257022500038,
-0.04847697541117668,
-0.016719315201044083,
0.004631701856851578,
0.026931652799248695,
0.021816445514559746,
0.0193944051861763,
-0.005973766092211008,
0.02018970251083374,
-0.015327544882893562,
0.04511503875255585,
0.013239889405667782,
0.017026588320732117,
-0.024997634813189507,
0.029462143778800964,
-0.02237676829099655,
-0.03506537154316902,
0.030275516211986542,
0.002118156524375081,
0.01211924385279417,
0.006375933066010475,
-0.012896466068923473,
0.00094893405912444,
0.009087173268198967,
-0.026064055040478706,
-0.011441433802247047,
0.01660182699561119,
0.03461350128054619,
-0.021147673949599266,
0.010284638032317162,
0.044536639004945755,
0.005160393659025431,
0.007469466887414455,
-0.03061893954873085,
-0.029046420007944107,
-0.003221857128664851,
-0.024545760825276375,
0.03262525796890259,
0.01767728663980961,
-0.06557586044073105,
0.01467684656381607,
-0.015002195723354816,
-0.013194702565670013,
0.0213826484978199,
0.011649295687675476,
0.029407918453216553,
-0.053899455815553665,
-0.06427446752786636,
0.023931212723255157,
0.010772661305963993,
0.018418358638882637,
-0.006936256308108568,
0.005377293098717928,
-0.022738268598914146,
0.023425115272402763,
-0.021816445514559746,
0.01779477298259735,
0.048513125628232956,
-0.008400325663387775,
-0.017767660319805145,
-0.02031622640788555,
0.0076185851357877254,
-0.020099326968193054,
0.00999543908983469,
-0.016592789441347122,
0.0893624797463417,
0.009186585433781147,
-0.01879793219268322,
-0.0004352105315774679,
-0.01606861688196659,
0.019846279174089432,
-0.00916851032525301,
0.003642099443823099,
-0.02018970251083374,
-0.004362837411463261,
0.009118804708123207,
0.014929896220564842,
0.019557079300284386,
-0.02423848770558834,
-0.011576995253562927,
-0.03269755840301514,
0.021165749058127403,
0.02657015435397625,
0.007107967976480722,
-0.026515929028391838,
0.011884269304573536,
-0.011504695750772953,
0.04569343477487564,
0.05252575874328613,
-0.04442818835377693,
-0.00880249310284853,
-0.02065964974462986,
-0.02438308671116829,
0.02723892591893673,
0.0018154012504965067,
-0.01503834594041109,
-0.0026321623008698225,
0.005065500270575285,
-0.041608501225709915,
-0.030709313228726387,
-0.013655613176524639,
0.009136879816651344,
-0.00989602692425251,
0.010718435980379581,
-0.02299131639301777,
0.01019426342099905,
0.07895131409168243,
0.017623061314225197,
-0.023479340597987175,
-0.059466537088155746,
0.021473022177815437,
-0.010908222757279873,
0.01567096821963787,
-0.02351549081504345,
0.0002914583310484886,
0.006073178257793188,
-0.005273362156003714,
-0.021491097286343575,
0.006041546817868948,
0.04182539880275726,
0.021400723606348038,
0.02810652367770672,
-0.021888745948672295,
0.034848473966121674,
0.009688165038824081,
-0.023425115272402763,
0.005594192072749138,
0.01805686019361019,
0.01457743439823389,
0.006936256308108568,
0.037234365940093994,
-0.023605864495038986,
0.0033958284184336662,
-0.033510930836200714,
-0.03468579798936844,
-0.015860754996538162,
-0.02125612273812294,
-0.005630342289805412,
0.048187777400016785,
-0.05534544959664345,
0.014234011061489582,
0.01892445608973503,
0.08806107938289642,
-0.008156314492225647,
0.001911424333229661,
0.00883412454277277,
0.05353795737028122,
-0.029588667675852776,
0.011549883522093296,
0.03188418596982956,
0.004602330271154642,
-0.00969720259308815,
0.013339301571249962,
0.04225919768214226,
-0.010266562923789024,
0.001153406803496182,
-0.01172159519046545,
-0.019575154408812523,
-0.020424677059054375,
-0.014270161278545856,
-0.0245096106082201,
-0.006723875645548105,
-0.01912328042089939,
0.0244373120367527,
-0.03770431503653526,
-0.00697692483663559,
0.02264789305627346,
0.006353339646011591,
-0.006353339646011591,
-0.027130477130413055,
0.019105205312371254,
0.006696763448417187,
-0.0005007321597076952,
-0.008359657600522041,
0.03427007794380188,
0.01825568452477455,
0.009005836211144924,
0.0025508252438157797,
-0.03911415860056877,
-0.04670562967658043,
-0.05361025780439377,
0.027925774455070496,
-0.00009221040818374604,
-0.029841717332601547,
0.003488462418317795,
-0.0019577413331717253,
-0.010248487815260887,
-0.008477143943309784,
0.03501114994287491,
-0.04146390035748482,
0.02018970251083374,
-0.0036556555423885584,
0.01847258396446705,
0.0037302146665751934,
-0.06586506217718124,
-0.03136001154780388,
-0.030727388337254524,
0.011351059190928936,
-0.029805567115545273,
-0.03367360308766365,
-0.034974999725818634,
0.026136355474591255,
0.0264255553483963,
-0.018816007301211357,
0.04012635350227356,
-0.010013514198362827,
0.02205142006278038,
-0.02431078627705574,
0.017297713086009026,
-0.005472186487168074,
-0.0010720695136114955,
0.04442818835377693,
-0.0017058219527825713,
-0.018499694764614105,
0.03607757017016411,
-0.03730666637420654,
0.008346101269125938,
-0.04399438947439194,
0.0184002835303545,
-0.037559714168310165,
0.003642099443823099,
-0.03698131814599037,
0.01739712432026863,
0.021762222051620483,
0.02423848770558834,
0.06217777729034424,
0.012128281407058239,
0.04648873209953308,
-0.038969557732343674,
0.005011275876313448,
-0.02617250569164753,
0.0002749366976786405,
0.001548795960843563,
0.009525490924715996,
0.0038589986506849527,
-0.022358695045113564,
0.039692558348178864,
-0.04522348567843437,
0.008088532835245132,
0.04352444410324097,
0.01971975341439247,
-0.003147298004478216,
0.019828204065561295,
0.016122842207551003,
0.01003158837556839,
0.016990438103675842,
-0.00989602692425251,
-0.015191982500255108,
-0.0018391245976090431,
-0.0017713436391204596,
0.016231290996074677,
-0.033384405076503754,
-0.005300474818795919,
-0.01467684656381607,
0.028974119573831558,
-0.004408024717122316,
0.0005247379303909838,
-0.01573423109948635,
0.010519611649215221,
-0.0054360367357730865,
-0.024274637922644615,
-0.042403798550367355,
-0.04005405679345131,
0.0234431903809309,
-0.04146390035748482,
-0.005978284869343042,
0.03940335661172867,
-0.010899185203015804,
0.009055542759597301,
0.006055103149265051,
-0.010067738592624664,
0.005155875347554684,
0.03613179549574852,
-0.01746942475438118,
-0.001886571291834116,
-0.009290516376495361,
-0.008752787485718727,
0.007410723250359297,
-0.02131034806370735,
0.05845433846116066,
-0.02828727290034294,
-0.06282847374677658,
0.05201966315507889,
-0.012037906795740128,
0.006285558454692364,
0.029715193435549736,
-0.027076251804828644,
-0.009335704147815704,
0.026859352365136147,
0.02962481789290905,
-0.043271392583847046,
-0.03354707732796669,
-0.012263842858374119,
-0.017903223633766174,
-0.08242170512676239,
0.046741779893636703,
0.04807932674884796,
0.027275076135993004,
0.0038092925678938627,
0.03685479238629341,
0.01285127829760313,
-0.010040625929832458,
0.048910774290561676,
0.036041419953107834,
0.0027180183678865433,
0.037234365940093994,
0.007912302389740944,
-0.02018970251083374,
0.014911821112036705,
-0.003206041641533375,
0.05158586427569389,
0.052236560732126236,
-0.008409363217651844,
-0.027654649689793587,
0.010944372974336147,
0.01089014858007431,
-0.04685023054480553
] |
Ball bearings find widespread use in various manufacturing and mechanical
domains, and methods based on machine learning have been widely adopted in the
field to monitor wear and spot defects before they lead to failures. Few
studies, however, have addressed the problem of censored data, in which failure
is not observed. In this paper, we propose a novel approach to predict the time
to failure in ball bearings using survival analysis. First, we analyze bearing
data in the frequency domain and annotate when a bearing fails by comparing the
Kullback-Leibler divergence and the standard deviation between its break-in
frequency bins and its break-out frequency bins. Second, we train several
survival models to estimate the time to failure based on the annotated data and
covariates extracted from the time domain, such as skewness, kurtosis and
entropy. The models give a probabilistic prediction of risk over time and allow
us to compare the survival function between groups of bearings. We demonstrate
our approach on the XJTU and PRONOSTIA datasets. On XJTU, the best result is a
0.70 concordance-index and 0.21 integrated Brier score. On PRONOSTIA, the best
is a 0.76 concordance-index and 0.19 integrated Brier score. Our work motivates
further work on incorporating censored data in models for predictive
maintenance. | [
-0.0071504805237054825,
0.015168553218245506,
-0.03533290699124336,
0.0022607436403632164,
0.04152999073266983,
-0.016674920916557312,
-0.04839445278048515,
0.022290430963039398,
-0.019849734380841255,
-0.012394166551530361,
0.017857134342193604,
-0.026580719277262688,
-0.0036562790628522635,
-0.02719089388847351,
0.00600640382617712,
0.012851797044277191,
0.056822486221790314,
0.022099751979112625,
0.05571654438972473,
-0.016703521832823753,
-0.0023298650048673153,
0.010658983141183853,
0.008151547983288765,
0.02122262679040432,
0.02305314876139164,
0.024292565882205963,
0.01912515237927437,
-0.0013347563799470663,
-0.07676755636930466,
-0.010697118937969208,
0.05434365198016167,
0.005672714672982693,
-0.0007716560503467917,
-0.030032018199563026,
-0.017618784680962563,
-0.02198534458875656,
0.03758292645215988,
0.020631520077586174,
-0.030203629285097122,
-0.02093660645186901,
0.016188688576221466,
-0.06753867119550705,
-0.006931199226528406,
-0.019563714042305946,
0.009572110138833523,
0.0028792601078748703,
-0.08382269740104675,
0.03241551294922829,
0.013576379045844078,
0.034818071871995926,
0.023854002356529236,
-0.05377161502838135,
0.0129280686378479,
-0.018610317260026932,
-0.009886731393635273,
0.0483563169836998,
0.07863622158765793,
0.07459381222724915,
0.0925176814198494,
0.036858342587947845,
-0.024044683203101158,
0.03632444143295288,
0.0004707399639301002,
0.007984703406691551,
0.035790540277957916,
-0.01317595224827528,
0.03258712217211723,
-0.015464105643332005,
0.02719089388847351,
-0.04538171738386154,
-0.0658988282084465,
0.006630878895521164,
0.03653419017791748,
0.04061473160982132,
0.0022059231996536255,
0.009772323071956635,
0.012727855704724789,
0.058576736599206924,
-0.07146666944026947,
-0.03893674910068512,
0.08275489509105682,
0.019115617498755455,
-0.036934614181518555,
0.08061928302049637,
0.058653008192777634,
-0.02185186930000782,
0.018124084919691086,
-0.06963614374399185,
0.04446645453572273,
0.0051435790956020355,
-0.008609178476035595,
-0.0202310923486948,
-0.013795660808682442,
-0.006049306597560644,
0.02389214001595974,
0.026027750223875046,
-0.014749057590961456,
0.0051864818669855595,
-0.0308519396930933,
0.02333916909992695,
0.018753327429294586,
0.02972693182528019,
-0.0012835112866014242,
0.010563643649220467,
-0.01787620224058628,
-0.05121650919318199,
-0.023567983880639076,
0.023720527067780495,
0.019639987498521805,
0.14034010469913483,
-0.026866739615797997,
0.03676300495862961,
0.04534358158707619,
-0.026180293411016464,
-0.051750410348176956,
-0.0019330132054165006,
-0.01496833935379982,
-0.050491925328969955,
-0.0191823560744524,
0.02875446528196335,
0.02839217521250248,
0.05335211753845215,
0.007689150050282478,
0.0260658860206604,
0.01402447558939457,
0.03575240448117256,
0.06624205410480499,
-0.013929136097431183,
0.049424123018980026,
0.006540306378155947,
-0.005410530138760805,
-0.007145713549107313,
-0.003913696389645338,
0.009486304596066475,
-0.002353699877858162,
0.001031456864438951,
0.06090302765369415,
-0.016808396205306053,
-0.004521487280726433,
-0.03525663539767265,
-0.022576451301574707,
-0.04484781250357628,
-0.015302028506994247,
0.05773774906992912,
0.03300661966204643,
0.015435503795742989,
-0.040309641510248184,
0.03323543444275856,
-0.029212096706032753,
0.0408816821873188,
-0.06887342780828476,
-0.022957809269428253,
0.05953013524413109,
0.01598847471177578,
0.038269370794296265,
0.02009761705994606,
-0.028773533180356026,
-0.016236357390880585,
-0.012146282941102982,
-0.059987764805555344,
0.0058109574019908905,
-0.002127267885953188,
0.018743792548775673,
0.010039274580776691,
0.012203486636281013,
0.011278691701591015,
0.011888865381479263,
-0.08031419664621353,
-0.06608951091766357,
0.03346424922347069,
-0.00842803344130516,
0.01489206776022911,
0.0018376734806224704,
-0.02993667870759964,
-0.017675988376140594,
0.061665743589401245,
0.006344859953969717,
0.0248074010014534,
-0.03958506137132645,
0.032491784542798996,
-0.06094116345047951,
0.07478449493646622,
-0.019268162548542023,
-0.008904731832444668,
0.06334372609853745,
-0.0271146222949028,
0.014844398014247417,
-0.008876129984855652,
-0.07306838035583496,
0.010172750800848007,
0.021451441571116447,
0.00800853781402111,
0.053657207638025284,
0.006106510292738676,
-0.003861259436234832,
-0.008709285408258438,
-0.030813803896307945,
-0.013891000300645828,
-0.03129050135612488,
-0.05689875781536102,
-0.04439018294215202,
-0.04561053216457367,
0.029269300401210785,
-0.023301033303141594,
0.03359772637486458,
0.03474180027842522,
0.06014030799269676,
0.023148490116000175,
0.00971035286784172,
-0.06105557084083557,
-0.02150864526629448,
-0.027038350701332092,
-0.0417206697165966,
-0.0396231971681118,
0.006192316301167011,
0.004454749636352062,
0.0022452508565038443,
0.0167702604085207,
0.004142511636018753,
-0.024921808391809464,
0.009100178256630898,
0.004230700898915529,
0.047326646745204926,
0.023625187575817108,
-0.06475475430488586,
-0.0001952974998857826,
0.0003795713419094682,
0.022500179708003998,
0.020974742248654366,
0.003630060702562332,
0.07569975405931473,
-0.018772395327687263,
-0.019096549600362778,
0.00862347986549139,
-0.015864532440900803,
0.007717751897871494,
0.010658983141183853,
-0.011955603957176208,
-0.054572466760873795,
0.0018770011374726892,
0.012022341601550579,
0.005291355773806572,
-0.02536037191748619,
-0.05789029225707054,
0.015845464542508125,
-0.011888865381479263,
-0.03491341322660446,
0.004073390271514654,
0.00195327284745872,
0.04763173311948776,
-0.0358477421104908,
-0.03329263627529144,
-0.016865599900484085,
0.018982142210006714,
-0.018152685835957527,
0.019773462787270546,
0.05609790235757828,
0.014367698691785336,
0.03767826408147812,
-0.016102882102131844,
0.02486460469663143,
-0.005029171239584684,
0.0022452508565038443,
0.06036912277340889,
0.007026538718491793,
0.029917610809206963,
0.012956670485436916,
-0.02572266198694706,
-0.010287158191204071,
-0.012765991501510143,
-0.012365564703941345,
-0.0023203310556709766,
0.00990579929202795,
-0.07692010700702667,
-0.02087940275669098,
-0.08130573481321335,
-0.014872999861836433,
-0.03056592121720314,
-0.024082818999886513,
0.01247043814510107,
0.00029063725378364325,
0.06444966793060303,
0.021184490993618965,
-0.03287314251065254,
-0.03119516372680664,
-0.016388902440667152,
-0.09114479273557663,
-0.0198115985840559,
-0.03477993607521057,
-0.057318251579999924,
-0.001210218877531588,
-0.04122490435838699,
-0.015616649761795998,
0.006864461582154036,
-0.0027600855100899935,
0.006726218853145838,
-0.03645791858434677,
-0.023663323372602463,
-0.027515050023794174,
-0.006163714453577995,
-0.017752259969711304,
0.02993667870759964,
-0.013795660808682442,
0.03863166272640228,
-0.0014872999163344502,
-0.08183963596820831,
0.043246105313301086,
0.009143081493675709,
-0.006726218853145838,
-0.06052166596055031,
-0.03821216896176338,
0.007064674980938435,
0.005534471943974495,
-0.042750339955091476,
0.03195787966251373,
0.05594535917043686,
-0.028068019077181816,
-0.03415069356560707,
0.004059089347720146,
-0.05586908757686615,
0.02551291510462761,
0.003854108974337578,
-0.11967044323682785,
0.011326361447572708,
-0.006945500150322914,
-0.054991964250802994,
0.002638527425006032,
0.04038591310381889,
-0.02902141772210598,
0.0180287454277277,
-0.005272287875413895,
-0.03113796003162861,
-0.034951549023389816,
0.0011220296146348119,
-0.06517424434423447,
0.003224866697564721,
-0.02242390625178814,
0.010887798853218555,
-0.017361367121338844,
-0.012699253857135773,
-0.008251654915511608,
-0.052093636244535446,
-0.07245820015668869,
-0.013042476959526539,
0.025493847206234932,
-0.003844575025141239,
-0.0050577730871737,
-0.00001455234541936079,
-0.00913354754447937,
-0.0379452183842659,
0.0011029615998268127,
-0.019191889092326164,
-0.00639729667454958,
-0.03598121926188469,
0.004006652627140284,
0.053313981741666794,
-0.020078549161553383,
0.005639345850795507,
-0.017075346782803535,
-0.044237639755010605,
-0.01679886318743229,
-0.08412779122591019,
-0.014177019707858562,
-0.0020462290849536657,
-0.027305301278829575,
-0.005010103341192007,
0.006092209368944168,
-0.007488936651498079,
0.0186579879373312,
0.014567912556231022,
-0.028087086975574493,
0.021317966282367706,
0.07417432218790054,
0.02438790537416935,
-0.0017339915502816439,
-0.05609790235757828,
-0.007312558125704527,
-0.005949199665337801,
-0.041148632764816284,
0.03399815037846565,
-0.020955674350261688,
-0.00303895422257483,
0.008275489322841167,
-0.006259053945541382,
-0.03340704366564751,
0.026256565004587173,
-0.006716684903949499,
0.039813876152038574,
-0.00354902190156281,
0.08031419664621353,
-0.0024454642552882433,
-0.011984205804765224,
0.003596691647544503,
-0.06021657958626747,
0.05289448797702789,
-0.014949271455407143,
0.0343795120716095,
0.04911903291940689,
0.02656165137887001,
-0.024712061509490013,
0.0019365885527804494,
0.01646517403423786,
0.0175043772906065,
0.022824333980679512,
-0.039737604558467865,
0.022500179708003998,
0.0396231971681118,
0.018333831802010536,
0.014138883911073208,
-0.041644398123025894,
0.015254358761012554,
-0.015445037744939327,
0.023281965404748917,
-0.04000455513596535,
-0.006449733395129442,
0.03609562665224075,
-0.009362362325191498,
-0.05480128154158592,
-0.007117111701518297,
-0.01967812329530716,
-0.0679200291633606,
-0.0025598721113055944,
0.05243685841560364,
-0.010277624242007732,
-0.04126304015517235,
0.011440768837928772,
-0.05781402066349983,
-0.00562027795240283,
-0.011393099091947079,
-0.040652867406606674,
-0.004175880458205938,
0.05121650919318199,
0.029135825112462044,
-0.010172750800848007,
0.01271832175552845,
0.04671647399663925,
0.026256565004587173,
-0.016941871494054794,
-0.007317325100302696,
-0.04187321290373802,
-0.0298032034188509,
0.0421401672065258,
-0.046754609793424606,
0.01061131339520216,
0.012832729145884514,
-0.08351761102676392,
-0.013223621994256973,
-0.015864532440900803,
-0.01973532699048519,
-0.016493774950504303,
-0.06006403639912605,
0.0483563169836998,
0.022519247606396675,
-0.01858171634376049,
-0.0022285664454102516,
-0.03788801282644272,
0.005310423672199249,
-0.038974884897470474,
-0.00217255437746644,
-0.021832801401615143,
-0.02206161618232727,
0.05022497475147247,
-0.010573177598416805,
-0.0062542869709432125,
0.01876286044716835,
0.020631520077586174,
0.003432230791077018,
-0.023224761709570885,
0.002222607610747218,
0.030623124912381172,
0.02993667870759964,
-0.0383647121489048,
0.00460014259442687,
0.03619096428155899,
0.04355119541287422,
-0.001063633942976594,
-0.0024859837722033262,
-0.036934614181518555,
-0.044313911348581314,
-0.018505442887544632,
-0.026084953919053078,
0.01816222071647644,
0.0037849878426641226,
-0.031881608068943024,
-0.001515901880338788,
0.03338797762989998,
-0.01092593465000391,
-0.015931271016597748,
0.011354963295161724,
0.07409805059432983,
-0.025531983003020287,
0.010668517090380192,
-0.08763629198074341,
-0.012823195196688175,
-0.014567912556231022,
0.0013621666003018618,
-0.0013144967379048467,
0.0034226966090500355,
0.04000455513596535,
-0.02669512666761875,
0.06864461302757263,
-0.022595519199967384,
-0.012413234449923038,
0.015511776320636272,
-0.03590494766831398,
0.015740592032670975,
0.01717068813741207,
0.011488438583910465,
0.061742015182971954,
-0.017180221155285835,
0.019716259092092514,
-0.037907082587480545,
-0.006301956716924906,
0.0004364772466942668,
-0.007527072448283434,
0.020955674350261688,
0.0007609302992932498,
-0.01640797033905983,
-0.00007195171201601624,
0.035027820616960526,
0.05178854614496231,
0.013614514842629433,
-0.011192885227501392,
0.06681408733129501,
-0.01278505939990282,
0.007727285847067833,
0.02438790537416935,
0.012689719907939434,
0.0817633643746376,
-0.03640071302652359,
0.00658797612413764,
0.05461060255765915,
-0.059491999447345734,
-0.006101743318140507,
-0.020898470655083656,
-0.018228959292173386,
0.0005434365011751652,
0.06753867119550705,
-0.021603984758257866,
-0.01994507387280464,
-0.0302226971834898,
0.01534969825297594,
-0.015302028506994247,
0.015950338914990425,
0.004895695485174656,
0.0015421203570440412,
0.02410188689827919,
-0.009586410596966743,
-0.0035823907237499952,
-0.0011667200597003102,
-0.017075346782803535,
0.00947200320661068,
0.031099824234843254,
0.002779153408482671,
-0.01960185170173645,
-0.004428531043231487,
-0.024349769577383995,
0.01816222071647644,
-0.009586410596966743,
0.03674393519759178,
-0.0028506582602858543,
0.04389441758394241,
0.012193952687084675,
0.023491712287068367,
0.009042974561452866,
-0.03796428442001343,
0.01915375329554081,
0.06227592006325722,
0.004178264178335667,
0.030909143388271332,
0.04152999073266983,
-0.0010403948836028576,
-0.04152999073266983,
-0.0368964783847332,
-0.044580861926078796,
-0.015368766151368618,
0.05346652865409851,
-0.045572396367788315,
-0.006001636851578951,
-0.003160512540489435,
0.03344517946243286,
-0.0022583601530641317,
-0.0020140521228313446,
-0.014138883911073208,
0.005915830843150616,
-0.03950878977775574,
0.0425596609711647,
-0.06578442454338074,
0.02318662591278553,
-0.01960185170173645,
-0.013519175350666046,
0.038536325097084045,
0.008318392559885979,
0.007398364134132862,
-0.09198378026485443,
-0.016131484881043434,
-0.015244824811816216,
0.014091214165091515,
0.08389896899461746,
-0.03426510468125343,
0.0076033445075154305,
0.04278847575187683,
-0.021031947806477547,
0.051979225128889084,
-0.004619210492819548,
0.03540917858481407,
0.00888566393405199,
-0.003975667059421539,
-0.037773605436086655,
0.022290430963039398,
0.03241551294922829,
0.02101287990808487,
0.04622070491313934,
-0.020764995366334915,
-0.017304163426160812,
0.02248111180961132,
0.02761038951575756,
0.0550682358443737,
-0.0020641053561121225,
0.03394094854593277,
-0.0007114728214219213,
0.05728011578321457,
0.012975738383829594,
0.021470509469509125,
0.0470978319644928,
0.05438178777694702,
0.014186553657054901,
-0.020078549161553383,
-0.014529776759445667,
-0.042483389377593994,
-0.015006475150585175,
-0.0241781584918499,
0.004326040856540203,
0.0062971897423267365,
0.04206389561295509,
0.010945002548396587,
0.028125222772359848,
0.017103949561715126,
0.031157027930021286,
0.013090146705508232,
0.026256565004587173,
0.023453576490283012,
-0.004609676543623209,
-0.007355460897088051,
-0.004828957840800285,
0.01708488166332245,
-0.04435204714536667,
-0.017475774511694908,
0.03729690611362457,
0.024426041170954704,
0.0016720207640901208,
0.05178854614496231,
0.004845642484724522,
0.03619096428155899,
-0.002598007908090949,
-0.019697191193699837,
0.052741944789886475,
-0.0015170936239883304,
-0.01363358274102211,
0.014167485758662224,
-0.022404838353395462,
0.014291427098214626,
0.0014837246853858232,
0.00838513020426035,
0.03161465749144554,
0.038822341710329056,
0.02158491685986519,
0.03472273424267769,
-0.026332836598157883,
-0.006993169896304607,
0.03218669816851616,
-0.05468687415122986,
-0.05228431522846222,
0.03191974386572838,
0.04076727479696274,
-0.022442976012825966,
-0.04980548098683357,
0.04439018294215202,
0.049500394612550735,
-0.05102583020925522,
0.0016219672979786992,
-0.03884141147136688,
-0.0032987550366669893,
0.03609562665224075,
-0.028125222772359848,
-0.017208823934197426,
-0.0017077730735763907,
0.025493847206234932,
-0.043741874396800995,
0.004183031152933836,
-0.025322236120700836,
-0.031233299523591995,
0.024826468899846077,
0.04179694131016731,
0.032644327729940414,
-0.022156955674290657,
-0.031233299523591995,
-0.00830885861068964,
-0.02692394331097603,
0.028697261586785316,
-0.01819082349538803,
-0.0005312210996635258,
-0.03695368394255638,
0.019220491871237755,
-0.020764995366334915,
0.0329112783074379,
0.0005103655275888741,
-0.029040485620498657,
-0.020459908992052078,
-0.002772002946585417,
-0.029459979385137558,
0.025245962664484978,
-0.0425596609711647,
-0.01043016742914915,
0.0008229011436924338,
0.030318038538098335,
0.0032415511086583138,
0.026180293411016464,
-0.04801309481263161,
0.02528410032391548,
-0.022748062387108803,
0.02846844680607319,
-0.012765991501510143,
-0.019010744988918304,
-0.031862542033195496,
0.05167413875460625,
0.06345812976360321,
-0.011145215481519699,
-0.026962079107761383,
0.00297936680726707,
0.026618855074048042,
-0.0192872304469347,
0.00001014846839098027,
0.0027314836625009775,
0.04343678429722786,
0.006087442394345999,
-0.03150025010108948,
0.018772395327687263,
-0.0028864105697721243,
0.022805266082286835,
-0.005477268248796463,
0.0034155461471527815,
0.000881892628967762,
-0.008165848441421986,
0.012947136536240578,
-0.0015361616387963295,
0.007059908006340265,
-0.00002945848973467946,
-0.04355119541287422,
-0.014034009538590908,
0.028849806636571884,
0.000005786489055026323,
0.0475173257291317,
-0.035733334720134735,
-0.012060477398335934,
-0.02219509147107601,
-0.0026480613742023706,
-0.01768552139401436,
-0.01201280765235424,
-0.043818145990371704,
-0.012499039992690086,
0.04103422537446022,
0.010716186836361885,
-0.005782355088740587,
0.06650900095701218,
0.014911135658621788,
-0.058919958770275116,
-0.0371062271296978,
0.017895270138978958,
-0.028830736875534058,
-0.016036145389080048,
0.020459908992052078,
0.045648667961359024,
-0.03474180027842522,
-0.008156314492225647,
0.011288225650787354,
0.020974742248654366,
0.011879331432282925,
0.013662184588611126,
0.009252721443772316,
-0.004073390271514654,
0.00005198995131650008,
-0.058576736599206924,
0.04118676856160164,
-0.019249094650149345,
0.0014122199499979615,
0.006459267344325781,
-0.023281965404748917,
0.015235290862619877,
-0.01808594912290573,
-0.04869953915476799,
0.014920669607818127,
0.004879011306911707,
0.008013305254280567,
0.027305301278829575,
0.013938670046627522,
-0.011412166990339756,
0.055907223373651505,
-0.018095482140779495,
-0.0421401672065258,
0.03977574035525322,
-0.011955603957176208,
-0.033483318984508514,
-0.012813661247491837,
-0.0012513340916484594,
0.01847684197127819,
-0.00851860549300909,
-0.01840057037770748,
0.010144148021936417,
0.021451441571116447,
-0.01834336668252945,
0.01975439488887787,
-0.0009361170814372599,
-0.021394237875938416,
0.053313981741666794,
-0.009514906443655491,
-0.02332010120153427,
0.04397068917751312,
-0.01915375329554081,
0.005262753926217556,
0.01973532699048519,
-0.020612452179193497,
0.02873539738357067,
-0.03224390000104904,
-0.009257488884031773,
-0.007479402702301741,
0.006139879114925861,
0.018781928345561028,
0.09282277524471283,
-0.03380747139453888,
0.017275560647249222,
0.055411458015441895,
-0.011879331432282925,
-0.003706332528963685,
-0.04412323236465454,
-0.008265955373644829,
0.017761792987585068,
0.0067071509547531605,
0.00697410199791193,
0.048661403357982635,
0.016636785119771957,
-0.019249094650149345,
-0.016398435458540916,
-0.02467392571270466,
0.024750197306275368,
0.015368766151368618,
-0.002562255598604679,
0.021260762587189674,
0.02488367259502411,
0.042750339955091476,
0.0417206697165966,
0.03191974386572838,
0.025398507714271545,
0.014758591540157795,
-0.025989612564444542,
0.01036342978477478,
0.011869797483086586,
0.02198534458875656,
-0.00029346763039939106,
-0.01121195312589407,
0.023415440693497658,
0.014377232640981674,
-0.0310616884380579,
-0.0060826754197478294,
0.02389214001595974,
-0.00792749971151352,
0.013595446944236755,
-0.05747079476714134,
-0.014348630793392658,
-0.07245820015668869,
0.0044762007892131805,
0.00889519788324833,
0.04370373860001564,
0.07386922836303711,
0.05026311054825783,
0.006511704530566931,
0.001942547271028161,
0.017866667360067368,
0.005324724595993757,
-0.036305371671915054,
-0.023911207914352417,
0.011984205804765224,
0.03071846440434456,
-0.019868802279233932,
0.051254644989967346,
-0.009486304596066475,
-0.04389441758394241,
-0.014310494996607304,
-0.020574316382408142,
-0.02577986568212509,
-0.004051939118653536,
0.02619936130940914,
0.016941871494054794,
-0.04828004539012909,
0.051826681941747665,
-0.024788333103060722,
0.018953541293740273,
-0.011793525889515877,
-0.010210886597633362,
-0.0026146923191845417,
-0.011564710177481174,
-0.017494842410087585,
-0.0101155461743474,
-0.023034080862998962,
-0.00722198560833931,
-0.003100925125181675,
0.011231021955609322,
0.022709926590323448,
0.04244525358080864,
0.014081680215895176,
0.010058342479169369,
0.01012508012354374,
0.022595519199967384,
0.0013538242783397436,
0.04061473160982132,
0.028792601078748703,
-0.03697274997830391,
-0.020764995366334915,
-0.018982142210006714,
-0.03113796003162861,
0.016322163864970207,
-0.014987407252192497,
-0.02326289750635624,
0.046754609793424606,
-0.03483714163303375,
0.01585499942302704,
0.012346496805548668,
-0.009152615442872047,
-0.010201352648437023,
0.044580861926078796,
-0.013052010908722878,
0.017466241493821144,
-0.00595396663993597,
-0.021241694688796997,
0.03220576420426369,
-0.026599787175655365,
0.007751121185719967,
0.025055283680558205,
-0.013385700061917305,
-0.044657133519649506,
-0.05037751793861389,
-0.01513995137065649,
-0.007384062744677067,
0.012737389653921127,
0.003046104684472084,
-0.037640128284692764,
0.05201736465096474,
-0.016188688576221466,
-0.03211042657494545,
0.007403131108731031,
0.00491953082382679,
-0.011393099091947079,
-0.0005899146781302989,
-0.030394310131669044,
0.023453576490283012,
0.04744105413556099,
-0.015711989253759384,
0.002583706984296441,
-0.018495909869670868,
0.013147350400686264,
-0.013967271894216537,
-0.004328424111008644,
-0.03413162752985954,
-0.008408965542912483,
-0.04210203140974045,
-0.034112557768821716,
-0.030184561386704445,
-0.036438848823308945,
-0.023930275812745094,
-0.01443443726748228,
0.009867663495242596,
0.03893674910068512,
0.02818242833018303,
0.007841694168746471,
-0.017389968037605286,
0.029116757214069366,
-0.0027147990185767412,
-0.05819537863135338,
-0.025627322494983673,
0.023510780185461044,
0.000579188927076757,
0.007946567609906197,
-0.001140501699410379,
-0.0006137496093288064,
0.02030736580491066,
-0.04446645453572273,
-0.029421843588352203,
-0.0013728922931477427,
-0.04160626232624054,
0.0017244576010853052,
-0.013538243249058723,
-0.004333191085606813,
0.035866811871528625,
0.005687015596777201,
-0.039318110793828964,
0.0030413377098739147,
-0.011259623803198338,
-0.011078477837145329,
-0.03190067782998085,
0.007970402017235756,
-0.012584845535457134,
0.018410103395581245,
0.007298257201910019,
0.05056820064783096,
-0.02192814089357853,
-0.005229384638369083,
0.020707791671156883,
-0.05037751793861389,
-0.013967271894216537,
0.009724653325974941,
0.009195517748594284,
-0.024063751101493835,
-0.0008103877771645784,
0.024769265204668045,
-0.021603984758257866,
-0.027209961786866188,
-0.030394310131669044,
-0.004895695485174656,
0.03001295030117035,
-0.022366702556610107,
0.038955818861722946,
0.014567912556231022,
0.011984205804765224,
-0.03746851906180382
] |
Quantum Support Vector Machines (QSVM) play a vital role in using quantum
resources for supervised machine learning tasks, such as classification.
However, current methods are strongly limited in terms of scalability on Noisy
Intermediate Scale Quantum (NISQ) devices. In this work, we propose a novel
approach called the Variational Quantum Linear Solver (VQLS) enhanced QSVM.
This is built upon our idea of utilizing the variational quantum linear solver
to solve system of linear equations of a least squares-SVM on a NISQ device.
The implementation of our approach is evaluated by an extensive series of
numerical experiments with the Iris dataset, which consists of three distinct
iris plant species. Based on this, we explore the practicality and
effectiveness of our algorithm by constructing a classifier capable of
classification in a feature space ranging from one to seven dimensions.
Furthermore, by strategically exploiting both classical and quantum computing
for various subroutines of our algorithm, we effectively mitigate practical
challenges associated with the implementation. These include significant
improvement in the trainability of the variational ansatz and notable
reductions in run-time for cost calculations. Based on the numerical
experiments, our approach exhibits the capability of identifying a separating
hyperplane in an 8-dimensional feature space. Moreover, it consistently
demonstrated strong performance across various instances with the same dataset. | [
-0.010686514899134636,
0.041589781641960144,
-0.031942110508680344,
0.032538313418626785,
0.012240259908139706,
0.003904687939211726,
0.05004504695534706,
0.023739781230688095,
-0.005541991908103228,
0.08209555596113205,
-0.01364043727517128,
0.0038866212125867605,
0.028473282232880592,
-0.009593472816050053,
-0.015085780993103981,
0.08766013383865356,
-0.018897876143455505,
0.02384818159043789,
-0.04260152205824852,
-0.035700004547834396,
-0.03205050900578499,
-0.015672951936721802,
-0.03096650168299675,
-0.01179762277752161,
0.006680200807750225,
0.018644941970705986,
0.03501346707344055,
0.00014269951498135924,
-0.08939454704523087,
0.0233423113822937,
-0.005293573718518019,
-0.013721738010644913,
0.008536565117537975,
0.009882541373372078,
-0.013450735248625278,
-0.013586236163973808,
0.032827381044626236,
0.051273588091135025,
-0.07913260161876678,
0.01738929934799671,
0.027515742927789688,
-0.004042447544634342,
0.010325178503990173,
0.003602069104090333,
0.03555547073483467,
-0.021806633099913597,
-0.033441655337810516,
-0.0019387939246371388,
-0.0015740703092887998,
-0.0069737862795591354,
-0.001129175303503871,
-0.009331503883004189,
0.03374879062175751,
-0.02186083234846592,
0.01880754344165325,
-0.003897913033142686,
0.037687353789806366,
0.0613548681139946,
0.09300790727138519,
-0.021481430158019066,
-0.020921358838677406,
-0.03329712152481079,
-0.045853547751903534,
-0.02897915430366993,
-0.006228530779480934,
-0.03261058032512665,
0.030298030003905296,
-0.03495926409959793,
0.01651305891573429,
0.0009343925048597157,
-0.05886164680123329,
-0.010460679419338703,
0.012818397022783756,
-0.004365391563624144,
0.015971055254340172,
0.026901470497250557,
-0.019223079085350037,
0.021174294874072075,
-0.020632289350032806,
0.03526640310883522,
0.047335024923086166,
0.015139982104301453,
0.021174294874072075,
0.03956630080938339,
0.04383006691932678,
0.02269190549850464,
-0.045889683067798615,
-0.07457976788282394,
0.02417338453233242,
-0.039638567715883255,
-0.09069535881280899,
0.04202338680624962,
0.022908708080649376,
-0.02243897132575512,
0.036242008209228516,
-0.004417333751916885,
0.01960248313844204,
-0.01989155076444149,
-0.007055087015032768,
-0.033134520053863525,
0.027407342568039894,
-0.03960243612527847,
0.033694587647914886,
-0.024064982309937477,
0.04686528816819191,
-0.0682925209403038,
-0.08484171330928802,
0.032538313418626785,
0.014607011340558529,
0.09951195865869522,
-0.0023825597018003464,
0.003279124852269888,
0.0004324741312302649,
-0.04914170503616333,
-0.050478652119636536,
-0.020885225385427475,
-0.037362150847911835,
-0.06565476208925247,
-0.04896103963255882,
-0.036784011870622635,
0.04896103963255882,
0.08317956328392029,
-0.005361324176192284,
-0.021824698895215988,
-0.07457976788282394,
0.023360377177596092,
0.013369434513151646,
0.025672929361462593,
0.02753380872309208,
0.04177045077085495,
0.0037149866111576557,
-0.02666660211980343,
-0.0013617853401228786,
-0.03102070279419422,
0.008346863090991974,
-0.030749700963497162,
0.033676523715257645,
0.007258338388055563,
-0.0008903546840883791,
0.027624143287539482,
-0.01766030117869377,
-0.06247500702738762,
0.030352231115102768,
0.034507595002651215,
0.0006385485758073628,
0.05293573439121246,
-0.03271898254752159,
0.037940289825201035,
0.001528903259895742,
0.001317747519351542,
-0.052971869707107544,
0.01849137432873249,
0.06272794306278229,
0.02018062025308609,
0.06648583710193634,
0.06001792103052139,
-0.0032836415339261293,
-0.0334777869284153,
0.058933913707733154,
-0.028220348060131073,
0.048166099935770035,
-0.013459769077599049,
0.020325154066085815,
0.03714535012841225,
0.04112004488706589,
0.04596194997429848,
0.008428163826465607,
0.05051478371024132,
-0.02753380872309208,
0.03387525677680969,
0.05221306532621384,
0.03815709054470062,
-0.023631379008293152,
0.01010837685316801,
-0.007556440774351358,
0.03488699719309807,
0.03159883990883827,
0.0003254847542848438,
-0.04440820589661598,
0.002078811638057232,
-0.06565476208925247,
0.0414813831448555,
0.014652177691459656,
0.09517592191696167,
0.051562659442424774,
0.006693751085549593,
0.09734393656253815,
0.01536581665277481,
0.03981923684477806,
0.0070325033739209175,
0.04556448012590408,
-0.012375760823488235,
0.024064982309937477,
-0.02355911210179329,
-0.00979220774024725,
-0.01390240527689457,
0.002967472653836012,
0.04065030813217163,
0.040505774319171906,
-0.030840033665299416,
-0.014435376040637493,
-0.019765082746744156,
0.02444438636302948,
0.01906047761440277,
-0.008536565117537975,
-0.0016452083364129066,
-0.008143612183630466,
-0.03037029691040516,
0.0008220395538955927,
-0.04285445809364319,
-0.02330617792904377,
0.03188790753483772,
-0.0229629073292017,
-0.03288158401846886,
0.010505846701562405,
-0.023920448496937752,
0.019674750044941902,
-0.04458887130022049,
-0.03728988394141197,
-0.019530214369297028,
-0.031707242131233215,
0.00019802911265287548,
0.06189687177538872,
-0.04852743446826935,
-0.046431686729192734,
-0.03644074499607086,
-0.02417338453233242,
-0.005803960841149092,
-0.0009095506393350661,
0.02496832236647606,
0.029936693608760834,
0.021716298535466194,
0.019132744520902634,
0.02157176472246647,
-0.018681075423955917,
-0.03291771560907364,
0.023757847025990486,
-0.006892485544085503,
-0.028906885534524918,
-0.027479609474539757,
-0.0006402423605322838,
-0.007854542694985867,
-0.006585350260138512,
-0.003039739793166518,
-0.005130972247570753,
0.04296286031603813,
-0.0012725804699584842,
0.03978310152888298,
0.07797632366418839,
0.0073577058501541615,
-0.004177948459982872,
-0.022926773875951767,
-0.013333301059901714,
-0.027425408363342285,
-0.002224475145339966,
-0.01120141800493002,
0.03217697888612747,
-0.05564575642347336,
-0.060090191662311554,
-0.007466106675565243,
0.0346340648829937,
0.0004392491828184575,
-0.014345042407512665,
0.08036114275455475,
-0.018590740859508514,
0.022095700725913048,
0.03797642141580582,
-0.012429961003363132,
0.013875305652618408,
0.005167106166481972,
0.0303883645683527,
-0.0323215126991272,
-0.04433593526482582,
-0.011228518560528755,
-0.0017163463635370135,
-0.036458808928728104,
-0.0037443451583385468,
-0.0030013478826731443,
-0.021933099254965782,
-0.04151751473546028,
-0.000030293655072455294,
0.013983706012368202,
0.015212249010801315,
0.010307111777365208,
0.012890664860606194,
-0.04289059340953827,
0.008983718231320381,
-0.018825609236955643,
-0.03873522952198982,
0.0055555421859025955,
-0.020090285688638687,
-0.00937667116522789,
-0.040794841945171356,
-0.01737123169004917,
0.04635941982269287,
-0.008062311448156834,
-0.040794841945171356,
-0.026034263893961906,
0.015067714266479015,
0.002723570680245757,
-0.03812095522880554,
-0.028527483344078064,
0.028075814247131348,
0.0482383668422699,
-0.06865385174751282,
-0.014236641116440296,
0.033622320741415024,
0.06684717535972595,
-0.0050406381487846375,
0.0062465975061059,
-0.030008960515260696,
0.019801218062639236,
-0.002251575468108058,
-0.053260937333106995,
0.0036291691940277815,
0.026305265724658966,
0.08202329277992249,
0.04213178530335426,
0.020686490461230278,
-0.01764223352074623,
0.02355911210179329,
-0.0007079928764142096,
-0.07027986645698547,
0.020849091932177544,
0.04682915657758713,
0.005980112124234438,
-0.03355005383491516,
0.04541994631290436,
-0.04184271767735481,
-0.004769636318087578,
0.05738016963005066,
-0.02899722009897232,
-0.061752334237098694,
0.051273588091135025,
0.07338735461235046,
-0.023396510630846024,
-0.022547371685504913,
0.01436310913413763,
-0.049575310200452805,
-0.0376150868833065,
-0.0010698935948312283,
-0.03689241409301758,
0.01756996661424637,
-0.009900609031319618,
-0.02782287821173668,
-0.02298097498714924,
-0.010162577033042908,
0.009313437156379223,
0.004385716747492552,
0.0005984628805890679,
0.0009191486751660705,
0.0025135441683232784,
0.0038866212125867605,
-0.008432680740952492,
-0.006359514780342579,
-0.03891589492559433,
-0.02552839368581772,
-0.016883429139852524,
0.026630468666553497,
0.009358604438602924,
-0.022222168743610382,
-0.06420942395925522,
-0.048491302877664566,
0.05094838887453079,
-0.04252925515174866,
0.02448051981627941,
-0.02984636090695858,
0.016079455614089966,
-0.02278224006295204,
-0.01551035139709711,
-0.008748849853873253,
0.02106589265167713,
0.022095700725913048,
0.009322470985352993,
-0.05998178943991661,
-0.027082139626145363,
-0.015998154878616333,
-0.05687429755926132,
-0.03772348538041115,
0.04184271767735481,
0.003992763813585043,
0.06030699238181114,
-0.020018018782138824,
-0.04751569405198097,
-0.00024545445921830833,
-0.0031481406185775995,
-0.02729894034564495,
-0.03494120016694069,
-0.07244788110256195,
0.02242090366780758,
-0.008911451324820518,
0.009467005729675293,
-0.021083960309624672,
-0.05626002699136734,
0.02444438636302948,
0.01700989529490471,
0.004873520229011774,
-0.02045162208378315,
0.02242090366780758,
0.012466094456613064,
0.013197800144553185,
0.04491407424211502,
-0.06280021369457245,
-0.021427229046821594,
0.0323215126991272,
-0.021373029798269272,
-0.04661235585808754,
-0.013857238925993443,
0.037109214812517166,
-0.0018687850097194314,
-0.0032316995784640312,
-0.05763310566544533,
0.0067795682698488235,
-0.0035681938752532005,
0.029719892889261246,
0.04719049111008644,
-0.028238413855433464,
0.023793980479240417,
-0.0047335028648376465,
-0.01532064937055111,
-0.0229629073292017,
-0.009981908835470676,
0.06330607831478119,
0.03044256381690502,
-0.017741601914167404,
0.08281823247671127,
0.031707242131233215,
-0.024877989664673805,
0.015212249010801315,
-0.027768677100539207,
0.03783188760280609,
0.016359491273760796,
0.0143721429631114,
-0.03212277591228485,
0.0032971918117254972,
0.036242008209228516,
-0.005578125827014446,
0.014119206927716732,
0.039891503751277924,
-0.06435395777225494,
0.004679302219301462,
0.04798543080687523,
0.002369009656831622,
-0.039060428738594055,
-0.035681936889886856,
-0.00910566933453083,
-0.017850002273917198,
0.027172472327947617,
-0.003055548295378685,
0.02610653266310692,
-0.0482383668422699,
0.02500445581972599,
-0.08448037505149841,
-0.0227641724050045,
0.052140794694423676,
-0.034236595034599304,
0.0198734849691391,
-0.007597091142088175,
0.04007217288017273,
-0.042818326503038406,
0.019819283857941628,
0.05828350782394409,
0.012755163945257664,
-0.04466113820672035,
-0.02699180506169796,
0.04773249477148056,
-0.015401950106024742,
-0.05430881306529045,
-0.019945751875638962,
0.004604776855558157,
0.03159883990883827,
-0.03981923684477806,
0.0030690983403474092,
0.048455167561769485,
-0.03924109786748886,
0.054670147597789764,
0.029448891058564186,
0.012818397022783756,
-0.015067714266479015,
-0.009439905174076557,
0.046503953635692596,
0.014796712435781956,
-0.0066485838033258915,
0.030261896550655365,
-0.01391143910586834,
0.03123750351369381,
0.030550966039299965,
-0.024877989664673805,
0.022872574627399445,
0.0035230268258601427,
-0.04346872866153717,
-0.0230532418936491,
-0.02697373926639557,
-0.004539284389466047,
0.01546518411487341,
-0.02130076102912426,
0.0028613300528377295,
0.002213183557614684,
0.07869900017976761,
0.04809383302927017,
-0.008419130928814411,
-0.08946681022644043,
-0.0887441411614418,
0.0287442859262228,
-0.039168830960989,
0.047913163900375366,
0.07049667090177536,
-0.047009825706481934,
0.028599750250577927,
-0.028075814247131348,
0.078337661921978,
-0.028943020850419998,
-0.010289045050740242,
-0.019223079085350037,
-0.0026377534959465265,
-0.004909654147922993,
-0.0126377297565341,
-0.05513988435268402,
0.0385906919836998,
-0.001724250614643097,
0.0335681214928627,
-0.033658456057310104,
-0.0043789418414235115,
0.040180571377277374,
-0.03658527880907059,
0.04545607790350914,
0.020668424665927887,
-0.03291771560907364,
0.0105148795992136,
-0.001672308542765677,
-0.032809317111968994,
0.01647692546248436,
-0.012737097218632698,
-0.03259251266717911,
0.00034919744939543307,
-0.014625078067183495,
0.016305290162563324,
-0.019168879836797714,
-0.002040419727563858,
-0.00009266294364351779,
-0.021969234570860863,
0.07443523406982422,
0.019963817670941353,
-0.036820147186517715,
0.013044232502579689,
0.01878947578370571,
-0.018915943801403046,
-0.02818421460688114,
0.02328811027109623,
-0.031436238437891006,
0.011192385107278824,
-0.029466956853866577,
0.00019365355547051877,
-0.005252923350781202,
-0.028816552832722664,
-0.06254727393388748,
-0.01672985963523388,
0.003383008996024728,
-0.00030572418472729623,
0.00032294413540512323,
0.03008122928440571,
0.010957516729831696,
0.044191401451826096,
-0.0053703575395047665,
0.02420951798558235,
-0.019963817670941353,
0.005392941180616617,
0.04404686763882637,
-0.045889683067798615,
-0.012999065220355988,
-0.021083960309624672,
-0.04914170503616333,
-0.007127354387193918,
-0.050984520465135574,
-0.00978317391127348,
0.022113768383860588,
0.01677502691745758,
-0.040216706693172455,
0.006567283067852259,
0.0044286251068115234,
0.015302582643926144,
-0.024643121287226677,
0.009457971900701523,
0.008008111268281937,
-0.0449502095580101,
-0.013523003086447716,
-0.023541046306490898,
-0.009575406089425087,
-0.004823836497962475,
0.008617865853011608,
-0.05546508729457855,
0.03981923684477806,
0.003353650448843837,
-0.0017163463635370135,
0.006079479586333036,
0.02923208847641945,
0.041625916957855225,
-0.03812095522880554,
0.03669367730617523,
-0.017452532425522804,
0.0015447117621079087,
0.022384770214557648,
0.03725374862551689,
0.03891589492559433,
0.004586709663271904,
0.009476038627326488,
-0.005307123530656099,
0.018572675064206123,
0.015112881548702717,
0.04614261910319328,
-0.006942169275134802,
-0.02901528775691986,
0.020307088270783424,
0.005004504695534706,
0.024227583780884743,
0.028220348060131073,
0.0036156191490590572,
-0.00796746090054512,
0.0126377297565341,
-0.02298097498714924,
0.024896055459976196,
-0.011445320211350918,
-0.01363140344619751,
-0.04946690797805786,
0.025365792214870453,
0.00938570499420166,
-0.05759697034955025,
0.010867182165384293,
0.005130972247570753,
-0.014995447359979153,
-0.027208607643842697,
-0.03517606854438782,
-0.02041548863053322,
-0.0044579836539924145,
-0.012023458257317543,
0.03329712152481079,
0.003891137894243002,
0.012122825719416142,
-0.017750635743141174,
0.006991853006184101,
-0.0142276082187891,
-0.013965639285743237,
0.0034643097314983606,
0.01675696112215519,
-0.00011072975030401722,
0.03228537738323212,
-0.009277303703129292,
-0.013803037814795971,
0.014959313906729221,
0.035645805299282074,
0.0590423159301281,
0.004394750110805035,
0.0010405350476503372,
0.052429866045713425,
-0.028310682624578476,
0.05391134321689606,
0.02213183417916298,
0.009024368599057198,
0.014561844058334827,
0.015103847719728947,
0.033080317080020905,
0.04484180733561516,
0.02531159296631813,
0.007524823769927025,
0.008089411072432995,
-0.008929518051445484,
0.007985527627170086,
0.02961149252951145,
0.003572710556909442,
0.023107443004846573,
-0.034218527376651764,
-0.029177889227867126,
-0.039891503751277924,
0.002996831201016903,
0.011174318380653858,
-0.023125508800148964,
0.011327886022627354,
0.022095700725913048,
0.0023509429302066565,
-0.007145421113818884,
-0.012457061558961868,
-0.0023599762935191393,
0.034272726625204086,
0.009268270805478096,
0.0056820097379386425,
-0.008622381836175919,
0.008419130928814411,
-0.02070455811917782,
-0.020668424665927887,
-0.012457061558961868,
-0.03618780896067619,
-0.017443498596549034,
0.04914170503616333,
0.0005329707055352628,
-0.005013538058847189,
0.0007780017331242561,
-0.03477859869599342,
-0.0005592240486294031,
-0.0178951695561409,
-0.018392005935311317,
-0.05199626088142395,
-0.012113791890442371,
-0.031056836247444153,
0.015203215181827545,
0.01738026551902294,
-0.018536541610956192,
0.026901470497250557,
0.0014634111430495977,
-0.028599750250577927,
0.01877140998840332,
-0.02191503345966339,
-0.0008660774328745902,
0.029485024511814117,
0.03611554205417633,
0.03264671564102173,
-0.022276369854807854,
0.033098384737968445,
0.04686528816819191,
-0.03037029691040516,
0.037651218473911285,
0.034236595034599304,
0.06168006733059883,
-0.014101140201091766,
-0.04383006691932678,
-0.02755187638103962,
-0.0052574397996068,
0.04910557344555855,
-0.02952115796506405,
0.05177946016192436,
0.00039972804370336235,
-0.012899697758257389,
-0.012122825719416142,
-0.0011867631692439318,
0.012330593541264534,
0.008784983307123184,
0.01728089712560177,
0.024841856211423874,
0.024083049967885017,
-0.015139982104301453,
0.028292614966630936,
0.016711793839931488,
-0.013035198673605919,
-0.020867157727479935,
-0.015447117388248444,
0.00964767299592495,
0.018012603744864464,
0.02218603529036045,
-0.022023433819413185,
-0.007538374047726393,
-0.004810286685824394,
0.04498634114861488,
-0.017786769196391106,
0.005266473162919283,
-0.05167105793952942,
-0.058138974010944366,
-0.01024387776851654,
0.013694637455046177,
0.0002383971295785159,
0.023143576458096504,
0.03644074499607086,
0.02496832236647606,
0.02961149252951145,
-0.011165284551680088,
-0.009999975562095642,
0.02278224006295204,
-0.029665691778063774,
-0.04429980367422104,
-0.020090285688638687,
0.02099362574517727,
-0.06359515339136124,
0.013252000324428082,
0.03747055307030678,
0.04408300295472145,
-0.04310739412903786,
-0.001298551564104855,
-0.004132781643420458,
-0.025239326059818268,
0.03188790753483772,
0.00951217208057642,
-0.0005174445686861873,
-0.029774092137813568,
0.023468777537345886,
-0.009114702232182026,
0.019512148573994637,
-0.017723534256219864,
-0.011029783636331558,
0.0033401004038751125,
-0.04198725149035454,
0.027967412024736404,
-0.01138208620250225,
-0.03445339575409889,
-0.008035210892558098,
-0.03474246338009834,
-0.039096564054489136,
0.05994565412402153,
0.02218603529036045,
-0.04856356978416443,
0.023974649608135223,
-0.018644941970705986,
-0.03786802291870117,
0.04093937948346138,
-0.017759667709469795,
0.004290865734219551,
0.04480567201972008,
0.001044487114995718,
-0.0229629073292017,
-0.024570852518081665,
-0.006933135911822319,
-0.005406490992754698,
-0.0505509190261364,
0.02413724921643734,
-0.004322482738643885,
0.0020776824094355106,
0.04093937948346138,
0.06117419898509979,
-0.01532968319952488,
-0.05795830860733986,
0.0060072122141718864,
0.03383912518620491,
0.030045095831155777,
0.023251976817846298,
0.023631379008293152,
0.0011314336443319917,
-0.04491407424211502,
-0.05817510932683945,
-0.015438083559274673,
0.04028897359967232,
0.021138161420822144,
0.029683759436011314,
-0.009738007560372353,
0.02502252347767353,
0.04227632284164429,
-0.03073163330554962,
0.0038279041182249784,
-0.019186945632100105,
0.025221258401870728,
-0.018373940140008926,
0.04780476167798042,
0.03210471197962761,
0.03913269564509392,
-0.016377557069063187,
-0.009078568778932095,
-0.020397420972585678,
-0.026522068306803703,
0.004774152766913176,
0.03264671564102173,
-0.009819308295845985,
0.0017287672962993383,
-0.01037937868386507,
0.009638640098273754,
0.014480543322861195,
0.003852745983749628,
0.049900513142347336,
-0.026829203590750694,
-0.04458887130022049,
0.02247510477900505,
0.023685580119490623,
0.024046916514635086,
-0.0007119450019672513,
-0.012872598133981228,
-0.0054245577193796635,
0.02442631870508194,
0.011228518560528755,
-0.017118297517299652,
0.009340537711977959,
-0.026287199929356575,
0.04686528816819191,
-0.03149043768644333,
-0.0036133606918156147,
-0.026016198098659515,
-0.022276369854807854,
0.03044256381690502,
-0.023486845195293427,
-0.005325190257281065,
-0.012231226079165936,
0.035916805267333984,
-0.03327905386686325,
-0.037651218473911285,
-0.00560070900246501,
0.007999077439308167,
-0.019999951124191284,
-0.017524799332022667,
0.021734364330768585,
-0.005763310473412275,
0.0284552164375782,
-0.004168915096670389,
-0.02556452713906765,
0.0009445550967939198,
0.01450764387845993,
-0.014534743502736092,
-0.03757895156741142,
-0.00391146307811141,
0.0303883645683527,
0.04480567201972008,
0.022655772045254707,
-0.030478699132800102,
-0.03467019647359848,
0.008762399666011333,
0.002384818159043789,
-0.01933147944509983,
-0.017434466630220413,
-0.03978310152888298,
-0.029195955023169518,
-0.07768725603818893,
-0.012475128285586834,
-0.035934872925281525,
0.010722648352384567,
-0.020108353346586227,
-0.024354051798582077,
-0.004071806091815233,
-0.01550131756812334,
0.021102027967572212,
-0.037904154509305954,
-0.023956581950187683,
0.02901528775691986,
0.012980998493731022,
-0.00738480594009161,
-0.028780419379472733,
0.07317055761814117,
0.003299450036138296,
0.041951119899749756,
-0.03604327514767647,
0.0072312382981181145,
0.03306225314736366,
-0.014200507663190365,
-0.047913163900375366,
-0.04383006691932678,
0.01880754344165325,
0.007515790406614542,
-0.02189696580171585,
-0.01404694002121687,
0.034543730318546295,
0.07132773846387863,
0.0006679071811959147,
0.036513011902570724,
-0.0443720705807209,
0.001519869896583259,
0.001106591778807342,
-0.0443720705807209,
-0.006160780321806669,
-0.004629618488252163,
-0.035916805267333984,
0.0017897427314892411,
-0.033622320741415024,
0.04838290065526962,
-0.0420595183968544,
0.023685580119490623,
-0.0012375761289149523,
-0.01936761476099491,
0.05882551521062851,
0.008324280381202698,
0.010966549627482891,
0.005803960841149092,
-0.012574495747685432,
0.020686490461230278,
-0.028888819739222527,
-0.014932213351130486,
-0.009037918411195278,
-0.0818064883351326,
0.01765126734972,
0.0070325033739209175,
-0.021138161420822144,
-0.004783186130225658,
0.016955696046352386,
-0.06738917529582977,
-0.023233909159898758,
-0.007859059609472752,
-0.021409163251519203,
-0.0051174224354326725,
0.02014448679983616,
-0.011625988408923149,
0.01615172252058983,
0.016386590898036957,
0.010081276297569275,
-0.010144510306417942,
-0.002271900651976466,
0.012330593541264534,
-0.011689222417771816,
-0.029629558324813843,
0.0010230328189209104,
-0.009990942664444447,
-0.033098384737968445,
0.01167115569114685,
0.01790420338511467,
-0.020668424665927887,
0.022601570934057236,
0.020578090101480484,
0.024841856211423874,
-0.04509474337100983,
0.024643121287226677,
0.015980087220668793,
0.03172530606389046,
0.05167105793952942,
-0.0004008572141174227,
-0.012448027729988098,
0.031400106847286224,
0.021969234570860863,
-0.006508565973490477,
-0.016088489443063736,
0.015817487612366676,
-0.017985504120588303,
-0.006237564142793417,
0.03242991492152214,
0.03999990224838257,
0.039168830960989,
0.0014972863718867302,
0.0230532418936491,
-0.0229629073292017,
-0.03555547073483467,
0.005361324176192284,
-0.03844615817070007,
-0.04798543080687523,
0.006991853006184101,
-0.013306201435625553,
-0.04755182936787605,
0.01194215752184391,
0.01536581665277481,
0.00775065878406167,
0.05636842921376228,
-0.009837375022470951,
-0.004017605446279049,
-0.03797642141580582,
-0.052393730729818344,
0.0040198639035224915
] |
Optimizing traffic dynamics in an evolving transportation landscape is
crucial, particularly in scenarios where autonomous vehicles (AVs) with varying
levels of autonomy coexist with human-driven cars. This paper presents a novel
approach to optimizing choices of AVs using Proximal Policy Optimization (PPO),
a reinforcement learning algorithm. We learned a policy to minimize traffic
jams (i.e., minimize the time to cross the scenario) and to minimize pollution
in a roundabout in Milan, Italy. Through empirical analysis, we demonstrate
that our approach can reduce time and pollution levels. Furthermore, we
qualitatively evaluate the learned policy using a cutting-edge cockpit to
assess its performance in near-real-world conditions. To gauge the practicality
and acceptability of the policy, we conducted evaluations with human
participants using the simulator, focusing on a range of metrics like traffic
smoothness and safety perception. In general, our findings show that
human-driven vehicles benefit from optimizing AVs dynamics. Also, participants
in the study highlighted that the scenario with 80\% AVs is perceived as safer
than the scenario with 20\%. The same result is obtained for traffic smoothness
perception. | [
-0.03394520655274391,
-0.005851107649505138,
-0.035506803542375565,
-0.054694924503564835,
-0.03499928489327431,
0.03271545097231865,
-0.04622326046228409,
0.029240896925330162,
-0.0959601178765297,
0.015284127555787563,
-0.021081555634737015,
-0.03193465247750282,
-0.010901897214353085,
-0.014483809471130371,
-0.029240896925330162,
0.020281236618757248,
-0.016113726422190666,
-0.009994219057261944,
-0.004150431137531996,
-0.05063477158546448,
0.004311470780521631,
-0.03597528487443924,
-0.04391990602016449,
0.05133749172091484,
-0.01736300252377987,
0.018358521163463593,
0.03478456661105156,
0.04864373803138733,
-0.07577648013830185,
0.06597746163606644,
0.034335605800151825,
0.026390984654426575,
0.012346373870968819,
0.0062073469161987305,
0.002023975597694516,
0.042006950825452805,
0.07222384959459305,
-0.005982867442071438,
0.007363904267549515,
0.06890545040369034,
0.01623084582388401,
0.002376554999500513,
0.007149184588342905,
-0.05699827894568443,
-0.009808778762817383,
0.025746826082468033,
-0.04126519337296486,
0.028830979019403458,
-0.0583256371319294,
-0.016445564106106758,
0.013703010976314545,
-0.01547932717949152,
0.03478456661105156,
-0.04770677909255028,
-0.06656305491924286,
0.01684572361409664,
-0.01861228048801422,
0.01251229364424944,
0.03181753307580948,
-0.007222384680062532,
0.04696502164006233,
-0.02537594549357891,
-0.074410080909729,
-0.000398329138988629,
-0.021022995933890343,
-0.005694947671145201,
0.057583875954151154,
0.00029935684869997203,
-0.011946214362978935,
0.007432224228978157,
-0.0723409652709961,
0.03921559825539589,
-0.025219786912202835,
-0.005919427610933781,
0.013332131318747997,
-0.011731495149433613,
0.03070489503443241,
0.014952288009226322,
-0.010355337522923946,
0.04950261488556862,
0.001923935953527689,
0.026156743988394737,
-0.0065489462576806545,
-0.029592256993055344,
0.020476436242461205,
-0.003049993421882391,
0.039703596383333206,
-0.07382448017597198,
0.056490760296583176,
-0.021725714206695557,
-0.02980697713792324,
0.019041718915104866,
-0.006763665471225977,
0.033730488270521164,
0.005499748513102531,
-0.01032605767250061,
-0.0022508951369673014,
0.00038826416130177677,
-0.003520912490785122,
0.03685368224978447,
-0.02865529991686344,
0.006880785338580608,
0.04208502918481827,
0.015088927932083607,
0.06367410719394684,
-0.007202864624559879,
-0.08042223006486893,
-0.03337913006544113,
0.008949900977313519,
0.11938406527042389,
0.021432913839817047,
-0.011790054850280285,
0.013175971806049347,
0.017841242253780365,
-0.0723409652709961,
0.012502533383667469,
-0.02502458728849888,
-0.06617265939712524,
0.04005495458841324,
0.02562970481812954,
0.002397294854745269,
0.04657462239265442,
0.03622904419898987,
-0.03244217112660408,
-0.024536587297916412,
-0.00796902272850275,
0.016279645264148712,
-0.0035794724244624376,
0.02213563211262226,
-0.008203262463212013,
0.0011949874460697174,
0.012492773123085499,
-0.026195785030722618,
-0.006622145883738995,
0.019373558461666107,
-0.015391487628221512,
-0.0162015650421381,
-0.017265403643250465,
-0.007124784868210554,
0.02541498653590679,
0.0065489462576806545,
-0.021003475412726402,
-0.02859673835337162,
0.033769529312849045,
-0.008691261522471905,
0.0236191488802433,
0.004167511127889156,
0.0453643836081028,
-0.04809717833995819,
-0.0044090705923736095,
-0.018436601385474205,
0.001682376372627914,
-0.0020288557279855013,
0.031680893152952194,
0.04922933503985405,
0.018153561279177666,
-0.00632934644818306,
0.00735902413725853,
0.0015542766777798533,
-0.05980915203690529,
0.04770677909255028,
-0.01947115920484066,
0.0016250365879386663,
0.042865827679634094,
0.027347462251782417,
0.01707996428012848,
0.04235830903053284,
0.02922137826681137,
-0.0762839987874031,
0.036131441593170166,
-0.03923511505126953,
-0.05254772678017616,
-0.02888953872025013,
0.021471954882144928,
-0.016875004395842552,
0.01547932717949152,
0.03984023630619049,
0.015537886880338192,
-0.03800535947084427,
0.01884651929140091,
-0.03513592481613159,
-0.003171993186697364,
0.02274075150489807,
0.03736120089888573,
0.042592547833919525,
0.0013090572319924831,
0.07343408465385437,
-0.01976395770907402,
0.03332056850194931,
-0.02213563211262226,
-0.016738364472985268,
0.05153268948197365,
0.04001591354608536,
-0.016347965225577354,
-0.026390984654426575,
-0.023150671273469925,
-0.026644743978977203,
-0.03954743593931198,
-0.024595146998763084,
0.019627317786216736,
-0.03132953494787216,
-0.03706840053200722,
-0.015098688192665577,
0.020203156396746635,
0.026742342859506607,
0.03679512068629265,
0.046730779111385345,
0.022896911948919296,
0.05567092075943947,
-0.06574322283267975,
-0.0062951864674687386,
0.005548548419028521,
-0.08050031214952469,
0.024048589169979095,
-0.032852090895175934,
-0.029104258865118027,
0.02334587089717388,
-0.006226866971701384,
0.0004886089591309428,
-0.021022995933890343,
0.011868135072290897,
0.06597746163606644,
-0.02506362646818161,
0.0024412148632109165,
-0.06828081607818604,
-0.026039624586701393,
-0.017548441886901855,
0.02393146976828575,
-0.03482360765337944,
-0.03722456097602844,
0.0027010743506252766,
-0.02709370292723179,
-0.019617557525634766,
0.03689272329211235,
0.06133170798420906,
0.02920185774564743,
-0.01768508180975914,
0.024907467886805534,
0.02356058917939663,
-0.04567670449614525,
-0.03252024948596954,
-0.04961973428726196,
-0.01769484207034111,
0.0011955974623560905,
0.0447397455573082,
-0.005099589005112648,
-0.04653558135032654,
0.07636208087205887,
0.03812247887253761,
0.021062035113573074,
-0.037849199026823044,
-0.014971808530390263,
-0.02803066000342369,
-0.027894020080566406,
-0.06484530121088028,
0.04302198812365532,
0.013351651839911938,
-0.03798583894968033,
-0.03394520655274391,
0.0026473943144083023,
0.03691224008798599,
0.061175551265478134,
-0.03501880541443825,
0.09455467760562897,
-0.021881872788071632,
-0.022526031360030174,
0.04591094329953194,
0.04153847321867943,
-0.000480068993056193,
-0.01017965842038393,
-0.05364084616303444,
-0.04391990602016449,
-0.010121098719537258,
0.024868426844477654,
-0.005119109060615301,
0.002164275385439396,
-0.014376449398696423,
-0.06043379008769989,
0.03831767663359642,
-0.038825199007987976,
-0.005577828269451857,
-0.03804440051317215,
0.06121458858251572,
0.005792547482997179,
-0.0790167897939682,
-0.06304946541786194,
-0.043841827660799026,
-0.014386209659278393,
-0.033203449100255966,
0.02067163586616516,
-0.02531738579273224,
-0.023814348503947258,
-0.019607799127697945,
0.02151099406182766,
0.03248121216893196,
-0.006397666409611702,
-0.013332131318747997,
-0.04040631279349327,
-0.021003475412726402,
0.012902692891657352,
0.007119904737919569,
0.002720594173297286,
0.06601650267839432,
0.03683416172862053,
0.010511497966945171,
0.012278053909540176,
-0.031680893152952194,
-0.01913931965827942,
-0.025766344740986824,
-0.0024814747739583254,
0.04563766345381737,
0.04485686495900154,
-0.011985254473984241,
-0.06074611097574234,
0.0020800954662263393,
0.01282461266964674,
0.02504410594701767,
-0.020456915721297264,
-0.06507954001426697,
0.011155656538903713,
-0.016035646200180054,
-0.04399798810482025,
-0.07058417052030563,
0.02032027766108513,
-0.01619180478155613,
0.024595146998763084,
0.02244795300066471,
0.01793884113430977,
-0.021979473531246185,
0.031446654349565506,
-0.038805678486824036,
0.012043814174830914,
-0.05699827894568443,
0.03068537451326847,
0.06394738703966141,
-0.004858029540628195,
-0.049385495483875275,
0.04282679036259651,
-0.00641230633482337,
-0.017265403643250465,
0.006612386088818312,
-0.023423949256539345,
-0.01060909777879715,
0.042045991867780685,
-0.00857414212077856,
-0.09713131189346313,
0.014093410223722458,
0.023716749623417854,
-0.003049993421882391,
0.02209659293293953,
0.0010278477566316724,
-0.00013480971392709762,
0.012297573499381542,
0.029982656240463257,
0.044037025421857834,
0.014034850522875786,
-0.0005642488249577582,
-0.011409415863454342,
-0.02650810405611992,
0.01325405202805996,
0.04922933503985405,
0.00886206142604351,
-0.007720143534243107,
-0.0037966319359838963,
-0.04575478285551071,
0.04961973428726196,
-0.030470654368400574,
-0.024907467886805534,
-0.00479702977463603,
-0.014083649963140488,
-0.034042809158563614,
0.02475130744278431,
0.0411871112883091,
0.01180957444012165,
-0.05036149173974991,
-0.024399947375059128,
0.019373558461666107,
-0.07351216673851013,
-0.012600133195519447,
0.03503832593560219,
0.002549794502556324,
0.000978437950834632,
-0.02767930179834366,
0.02207707241177559,
-0.013039331883192062,
0.06371314078569412,
0.00853998214006424,
-0.039937835186719894,
0.02000795677304268,
0.04130423069000244,
0.030841534957289696,
-0.049112215638160706,
0.013663970865309238,
-0.01622108556330204,
0.024595146998763084,
-0.00006824360752943903,
0.035565365105867386,
-0.04903413727879524,
0.018797719851136208,
-0.04770677909255028,
0.015576926991343498,
0.003967431373894215,
0.003091473365202546,
0.02945561707019806,
0.007881183177232742,
0.030197376385331154,
-0.058520834892988205,
-0.02416570857167244,
0.0015030368231236935,
-0.0036185123026371002,
-0.025766344740986824,
-0.019246678799390793,
-0.012600133195519447,
0.0018397560343146324,
0.027171781286597252,
0.020144596695899963,
-0.034940727055072784,
0.0023777750320732594,
0.02475130744278431,
-0.04192887246608734,
0.0035575125366449356,
0.03535064309835434,
0.005324068479239941,
0.04325622692704201,
-0.0021850152406841516,
0.05746675655245781,
0.00509470934048295,
0.018124282360076904,
-0.041694629937410355,
0.023638669401407242,
0.06066803261637688,
0.026683783158659935,
-0.012746532447636127,
-0.021374354138970375,
0.015850206837058067,
0.036717042326927185,
0.009198780171573162,
0.030587775632739067,
0.015362207777798176,
-0.008427741937339306,
-0.048292376101017,
-0.05375796556472778,
0.0049385493621230125,
-0.029904576018452644,
-0.020788755267858505,
-0.04840949550271034,
0.04630134254693985,
-0.07390256226062775,
-0.009955178946256638,
-0.0032525130081921816,
-0.054382603615522385,
0.03330104798078537,
-0.052625808864831924,
-0.05492916330695152,
0.03451128676533699,
-0.0396059975028038,
-0.007066225167363882,
-0.014757088385522366,
0.02065211534500122,
-0.003440392669290304,
0.0727313682436943,
0.03447224572300911,
0.044115107506513596,
-0.04899509623646736,
-0.00002195995330112055,
0.013771330937743187,
-0.069608174264431,
-0.019607799127697945,
0.013498051092028618,
0.0041870311833918095,
-0.014425249770283699,
-0.025493064895272255,
-0.008583901450037956,
0.04274870827794075,
0.00596822751685977,
0.01945163868367672,
0.007056464906781912,
-0.027249861508607864,
-0.032246969640254974,
-0.025473546236753464,
0.03913751617074013,
0.0006612386205233634,
0.02541498653590679,
-0.06913968920707703,
0.0009363479912281036,
0.07683055847883224,
0.06953009217977524,
0.016923803836107254,
-0.019227158278226852,
-0.02801113948225975,
-0.02059355564415455,
-0.042865827679634094,
-0.03339865058660507,
0.00457499036565423,
-0.046613659709692,
0.02475130744278431,
0.021335314959287643,
-0.01889532059431076,
0.03884471580386162,
0.0413823127746582,
0.006822225637733936,
-0.04028919339179993,
0.007383424323052168,
-0.030431615188717842,
-0.0025790745858103037,
-0.010287018492817879,
0.06492338329553604,
-0.009462299756705761,
-0.012121894396841526,
-0.024282827973365784,
0.011546055786311626,
0.059418752789497375,
-0.0005889537278562784,
0.013097892515361309,
0.06433778256177902,
0.003364752745255828,
0.01972491852939129,
-0.005773027893155813,
0.02358010970056057,
0.014122690074145794,
0.003020713571459055,
-0.0008576581603847444,
-0.02182331308722496,
-0.009540379978716373,
-0.03181753307580948,
0.10564201325178146,
0.012424453161656857,
-0.057935237884521484,
0.061175551265478134,
-0.004626230336725712,
-0.05317236855626106,
0.0365804024040699,
-0.06468914449214935,
-0.05805235728621483,
0.0017043363768607378,
-0.04801909625530243,
0.011770535260438919,
0.012561093084514141,
0.009921018965542316,
-0.026918021962046623,
-0.022486992180347443,
0.05980915203690529,
0.017265403643250465,
0.012844132259488106,
0.04747254028916359,
0.004855589475482702,
0.021003475412726402,
-0.012629413045942783,
-0.007925103418529034,
-0.012287814170122147,
0.031388092786073685,
-0.012034054845571518,
-0.004116271156817675,
0.02186235412955284,
-0.06039475277066231,
-0.010247978381812572,
0.021335314959287643,
-0.04017207399010658,
-0.02805018052458763,
-0.02537594549357891,
-0.015713566914200783,
-0.05547572299838066,
-0.012756292708218098,
-0.013166211545467377,
-0.028772419318556786,
-0.0020251956302672625,
0.018963640555739403,
0.03486264497041702,
-0.024887947365641594,
0.023189710453152657,
-0.013537091203033924,
-0.024282827973365784,
0.0032085932325571775,
-0.034316085278987885,
-0.0013432170962914824,
0.00872054137289524,
0.01074573677033186,
-0.03987927362322807,
-0.03150521218776703,
-0.024029068648815155,
0.01033581793308258,
-0.002091075526550412,
0.03601432219147682,
0.024243788793683052,
0.017616761848330498,
-0.002627874491736293,
-0.05590515956282616,
-0.005948707461357117,
-0.028225859627127647,
-0.04134327173233032,
0.00017918711819220334,
0.052586767822504044,
-0.007500544190406799,
-0.00022493701544590294,
-0.0026888742577284575,
-0.019881077110767365,
0.03482360765337944,
-0.006402546539902687,
-0.007178464904427528,
-0.03277400881052017,
-0.004694549832493067,
0.06691441684961319,
0.02065211534500122,
0.05161077156662941,
-0.014454529620707035,
0.021959953010082245,
-0.011370375752449036,
0.03451128676533699,
0.012190214358270168,
0.024673227220773697,
0.022935951128602028,
0.006875905208289623,
0.03617048263549805,
-0.02356058917939663,
0.0735902413725853,
0.0001762896281434223,
0.04391990602016449,
0.03175897151231766,
0.010814056731760502,
-0.022838352248072624,
-0.022506512701511383,
-0.022877391427755356,
0.03862999752163887,
-0.017480121925473213,
0.0221551526337862,
0.046418461948633194,
-0.007690863683819771,
-0.01647484488785267,
-0.013888450339436531,
-0.0052459887228906155,
-0.013371171429753304,
-0.01886603981256485,
0.008344782516360283,
-0.019393078982830048,
0.03540920466184616,
0.02420474775135517,
-0.011175176128745079,
0.02951417677104473,
0.018797719851136208,
0.03486264497041702,
-0.015537886880338192,
-0.017021404579281807,
-0.026937542483210564,
0.05211829021573067,
-0.004116271156817675,
0.007495664060115814,
-0.028186820447444916,
-0.04391990602016449,
0.03129049390554428,
0.03246169164776802,
-0.003020713571459055,
0.011145896278321743,
-0.001119347638450563,
0.04477878287434578,
-0.009193900041282177,
-0.024868426844477654,
0.015859967097640038,
0.006212226580828428,
0.010706697590649128,
0.019656598567962646,
-0.0017726562218740582,
-0.02326779067516327,
0.01945163868367672,
0.0015579366590827703,
0.013771330937743187,
0.02393146976828575,
0.05004917457699776,
-0.0013285771710798144,
0.002253335202112794,
0.020554516464471817,
-0.01618204638361931,
0.029943617060780525,
-0.005699827801436186,
0.004809229634702206,
0.028108740225434303,
-0.009657499380409718,
0.0008655881392769516,
0.061722107231616974,
0.005285028833895922,
0.016660284250974655,
0.0012407373869791627,
0.007002784870564938,
-0.04360758885741234,
0.02590298466384411,
-0.007427344098687172,
-0.016396764665842056,
0.007490783929824829,
0.020242197439074516,
-0.013263811357319355,
-0.022350352257490158,
-0.0453643836081028,
-0.060277633368968964,
-0.009213420562446117,
0.02738650143146515,
0.0101894186809659,
0.024126669391989708,
-0.01032605767250061,
0.020808275789022446,
0.012483013793826103,
-0.05828659608960152,
-0.006051186937838793,
-0.03216889128088951,
-0.015254847705364227,
-0.0018238960765302181,
-0.0014505769358947873,
0.016016125679016113,
0.009769739583134651,
0.03359384834766388,
-0.014376449398696423,
-0.027854980900883675,
0.009921018965542316,
0.04481782391667366,
0.0006075587007217109,
0.029982656240463257,
0.0748395174741745,
0.023541070520877838,
0.00796902272850275,
-0.004794589709490538,
-0.017245883122086525,
0.007803103420883417,
0.030314495787024498,
-0.005533908028155565,
0.01325405202805996,
-0.05980915203690529,
-0.03628760203719139,
-0.010072298347949982,
0.029826495796442032,
-0.011428935453295708,
-0.031427133828401566,
-0.00044377404265105724,
0.0010632277699187398,
-0.002676674397662282,
-0.015001088380813599,
0.021120594814419746,
0.03271545097231865,
0.033418167382478714,
-0.009047500789165497,
0.017772922292351723,
0.011907174251973629,
-0.020456915721297264,
0.03335960954427719,
-0.03357432782649994,
0.02682042308151722,
0.055553801357746124,
-0.01977371796965599,
0.012473253533244133,
0.0049239094369113445,
0.032266490161418915,
0.03269593045115471,
-0.020847314968705177,
0.05133749172091484,
-0.025824904441833496,
0.020203156396746635,
-0.021647633984684944,
-0.020983954891562462,
0.0017116563394665718,
-0.004313910845667124,
-0.040874794125556946,
0.0107652572914958,
0.016865244135260582,
0.009076780639588833,
0.007603023666888475,
-0.007900702767074108,
0.02828441932797432,
0.01684572361409664,
-0.05008821189403534,
-0.0029963136184960604,
0.0012462273007258773,
0.015772126615047455,
-0.002265535295009613,
0.029982656240463257,
-0.01355661079287529,
0.035799603909254074,
-0.005577828269451857,
-0.016299165785312653,
0.005489988252520561,
0.03722456097602844,
-0.010989736765623093,
-0.015254847705364227,
0.008447262458503246,
-0.008681501261889935,
0.013888450339436531,
-0.017841242253780365,
0.00853022187948227,
-0.016748124733567238,
-0.011741255410015583,
-0.029670337215065956,
-0.016982363536953926,
0.027815941721200943,
0.004311470780521631,
-0.016699325293302536,
0.00136395706795156,
0.011038536205887794,
0.03593624383211136,
0.03131001442670822,
-0.008125183172523975,
-0.021022995933890343,
0.012180454097688198,
0.0150498878210783,
-0.05590515956282616,
-0.04270967096090317,
0.035214006900787354,
-0.03529208526015282,
0.04106999188661575,
0.0107652572914958,
-0.015820926055312157,
-0.008003182709217072,
-0.03540920466184616,
0.006241506896913052,
0.018426841124892235,
-0.004604270216077566,
0.027933061122894287,
-0.014366689138114452,
0.0018726959824562073,
-0.0012364673893898726,
-0.05340660735964775,
-0.01764604263007641,
0.027601221576333046,
-0.04669174179434776,
-0.01742156222462654,
0.0052069490775465965,
-0.0505957305431366,
0.010199178010225296,
0.014220289885997772,
-0.03529208526015282,
-0.030782975256443024,
0.014874208718538284,
0.0028011139947921038,
0.002986553590744734,
0.030743934214115143,
0.029826495796442032,
0.0754641592502594,
-0.044037025421857834,
0.04653558135032654,
-0.011721734888851643,
0.016445564106106758,
0.015723327174782753,
-0.007407824043184519,
-0.01300029270350933,
-0.001130327582359314,
0.005489988252520561,
0.030197376385331154,
0.006612386088818312,
-0.010726217180490494,
-0.005377748515456915,
0.022857870906591415,
-0.031114812940359116,
0.01765580289065838,
0.017841242253780365,
-0.028382020071148872,
0.04805813729763031,
0.006910065189003944,
0.06367410719394684,
-0.008417981676757336,
-0.0018482960294932127,
0.03659992292523384,
-0.012756292708218098,
0.03181753307580948,
-0.018670840188860893,
-0.02301403135061264,
0.012326853349804878,
0.017245883122086525,
0.011643655598163605,
-0.05418740585446358,
0.01678716391324997,
-0.02566874586045742,
-0.006319586653262377,
-0.031192893162369728,
-0.05516340211033821,
-0.05129845067858696,
0.007734783459454775,
0.040874794125556946,
-0.03568248450756073,
0.016133245080709457,
-0.008086143061518669,
0.007910463027656078,
0.026996102184057236,
0.0052752685733139515,
0.022018512710928917,
-0.03745879977941513,
0.038512878119945526,
-0.01863180100917816,
-0.040796712040901184,
-0.03425752744078636,
0.031661372631788254,
-0.040250156074762344,
-0.0447397455573082,
-0.008281342685222626,
0.019041718915104866,
0.0018190161790698767,
0.013761570677161217,
0.05067381262779236,
-0.027015622705221176,
0.000785678334068507,
0.07187248766422272,
0.0413823127746582,
-0.036443762481212616,
-0.019529718905687332,
0.01624060608446598,
0.024653706699609756,
-0.0023741149343550205,
0.02709370292723179,
-0.01626012474298477,
0.0223698727786541,
0.04161655157804489,
0.003691712161526084,
-0.0007759183645248413,
0.011321576312184334,
0.01771436259150505,
-0.011438695713877678,
-0.038454316556453705,
0.004016231279820204,
0.032286010682582855,
-0.02976793609559536,
-0.004755550064146519,
0.020495956763625145,
-0.052586767822504044,
-0.04239735007286072,
0.030294975265860558,
-0.01678716391324997,
-0.0011486276052892208,
0.021003475412726402,
-0.00537286838516593,
0.014171489514410496,
-0.0459890216588974,
-0.0058267074637115,
0.008442382328212261,
-0.0023338550236076117,
0.0004025991365779191,
-0.03314489126205444,
0.0029304337222129107,
0.027308421209454536,
0.03607288375496864,
0.004145551007241011,
0.05961395427584648,
0.02479034662246704,
0.03683416172862053,
-0.033710967749357224,
-0.016914043575525284,
0.0013932370347902179,
-0.05094709247350693,
-0.06488434225320816,
-0.009291499853134155,
0.008920621126890182,
-0.017177563160657883,
-0.029709376394748688,
0.022486992180347443,
0.030529215931892395,
0.0015262167435139418,
0.03933271765708923,
-0.024302348494529724,
-0.030275454744696617,
0.0076225437223911285,
-0.017851002514362335,
-0.05270388722419739,
0.01742156222462654,
-0.01414220966398716,
-0.04126519337296486,
0.00975021906197071,
0.07007665187120438,
0.024692747741937637,
0.020105557516217232,
-0.03777112066745758,
-0.02890905924141407,
-0.008613181300461292,
0.006373266223818064,
-0.007803103420883417,
-0.01921739988029003,
-0.014005569741129875,
0.02920185774564743,
-0.00699790520593524,
-0.06504049897193909,
-0.0062073469161987305,
0.018173081800341606,
0.02541498653590679,
0.01341021154075861,
-0.03070489503443241,
-0.019402839243412018,
-0.06168306991457939,
-0.03212985023856163,
0.026918021962046623,
-0.03808343783020973,
-0.01193645503371954,
-0.021120594814419746,
-0.017460603266954422,
-0.04372470825910568,
-0.023716749623417854,
-0.034316085278987885,
0.037654001265764236,
0.013010052032768726,
0.020105557516217232,
0.01458140928298235,
0.015391487628221512,
0.010082058608531952,
0.027074182406067848,
-0.013449251651763916,
0.03564344346523285,
0.035799603909254074,
0.02535642683506012,
0.03859095647931099,
-0.04212407022714615,
0.006075587123632431,
-0.005080069415271282,
0.022643152624368668,
0.007217504549771547,
-0.012190214358270168,
0.04489590600132942,
-0.0009034081012941897,
-0.018778199329972267,
0.021022995933890343,
-0.030763454735279083,
-0.036697521805763245,
0.01387869007885456,
-0.0009003580780699849,
0.005060549359768629,
0.030802493914961815,
-0.029318977147340775,
0.002903593936935067,
0.01325405202805996,
-0.0371074415743351,
0.021296273916959763,
-0.03507736697793007,
0.07089649140834808,
0.019900597631931305
] |
Addressing causal queries across the Pearl Causal Hierarchy (PCH) (i.e.,
associational, interventional and counterfactual), which is formalized as
\Layer{} Valuations, is a central task in contemporary causal inference
research. Counterfactual questions, in particular, pose a significant challenge
as they often necessitate a complete knowledge of structural equations. This
paper identifies \textbf{the degeneracy problem} caused by the consistency
rule. To tackle this, the \textit{Distribution-consistency Structural Causal
Models} (DiscoSCMs) is introduced, which extends both the structural causal
models (SCM) and the potential outcome framework. The correlation pattern of
potential outcomes in personalized incentive scenarios, described by $P(y_x,
y'_{x'})$, is used as a case study for elucidation. Although counterfactuals
are no longer degenerate, they remain indeterminable. As a result, the
condition of independent potential noise is incorporated into DiscoSCM. It is
found that by adeptly using homogeneity, counterfactuals can be identified.
Furthermore, more refined results are achieved in the unit problem scenario. In
simpler terms, when modeling counterfactuals, one should contemplate: "Consider
a person with average ability who takes a test and, due to good luck, achieves
an exceptionally high score. If this person were to retake the test under
identical external conditions, what score will he obtain? An exceptionally high
score or an average score?" If your choose is predicting an average score, then
you are essentially choosing DiscoSCM over the traditional frameworks based on
the consistency rule. | [
-0.01956900767982006,
-0.005735200364142656,
-0.04869668558239937,
0.0018303272081539035,
0.01483169011771679,
-0.014716146513819695,
-0.034852370619773865,
0.0046769194304943085,
-0.029327252879738808,
0.0676039382815361,
0.010577558539807796,
0.008109111338853836,
-0.003965271171182394,
-0.0048160976730287075,
0.0007727027405053377,
0.002418552991002798,
-0.0069326600059866905,
0.03966321796178818,
-0.003962645307183266,
-0.01906481385231018,
0.014810682274401188,
-0.029348259791731834,
-0.0399993471801281,
0.057141922414302826,
-0.009910552762448788,
0.050461359322071075,
0.037478379905223846,
-0.01600814238190651,
-0.041869062930345535,
0.03537757322192192,
0.04058757424354553,
0.036533016711473465,
-0.03422212973237038,
-0.06802409887313843,
-0.021260157227516174,
-0.017982900142669678,
-0.002460569143295288,
-0.03054571896791458,
0.00578246871009469,
0.05777216702699661,
-0.07033498585224152,
0.05067143961787224,
-0.01862364634871483,
0.02594495378434658,
0.011722497642040253,
-0.028402896597981453,
-0.023066850379109383,
0.06436869502067566,
-0.024663463234901428,
0.0020535378716886044,
-0.017667777836322784,
-0.08146926015615463,
0.06285611540079117,
-0.020188745111227036,
-0.012646852061152458,
0.0028702262789011,
-0.0087603610008955,
-0.012720380909740925,
0.07193160057067871,
0.0035477362107485533,
-0.04182704910635948,
-0.007473617326468229,
-0.07777184247970581,
0.01036747731268406,
-0.01538840401917696,
-0.015493444167077541,
-0.007578657940030098,
0.041637975722551346,
0.026155035942792892,
-0.045293379575014114,
-0.04907482862472534,
0.047604262828826904,
-0.033339790999889374,
-0.0375203974545002,
-0.0091805225238204,
0.031154952943325043,
0.011785522103309631,
0.0558394230902195,
0.020052192732691765,
0.0020994930528104305,
0.016827456653118134,
0.054452892392873764,
0.004498350899666548,
0.014359009452164173,
0.016638383269309998,
-0.05373861640691757,
0.024852534756064415,
-0.06478885561227798,
0.051637813448905945,
0.010398989543318748,
-0.009668959304690361,
-0.017436690628528595,
0.028718018904328346,
-0.050797488540410995,
-0.0070587084628641605,
0.03541959077119827,
0.00548835564404726,
0.027394510805606842,
-0.032478462904691696,
-0.002972640562802553,
0.04983111843466759,
0.01973707228899002,
-0.007867518812417984,
0.008513516746461391,
0.0094798868522048,
-0.06520901620388031,
-0.045629508793354034,
0.06054522842168808,
0.030965881422162056,
0.2351222038269043,
0.008671076968312263,
0.059284746646881104,
-0.0065177506767213345,
-0.012079634703695774,
-0.055461280047893524,
-0.003665906609967351,
-0.05537724867463112,
-0.06789804995059967,
0.05205797404050827,
-0.08663724362850189,
-0.054789021611213684,
0.0576041005551815,
0.002394918818026781,
-0.043612733483314514,
-0.040461525321006775,
0.023045841604471207,
-0.03193225339055061,
-0.016869472339749336,
0.0011173662496730685,
0.013266590423882008,
-0.021533261984586716,
-0.017762314528226852,
-0.012226691469550133,
-0.040797654539346695,
0.011554433032870293,
-0.05659571290016174,
0.05474700406193733,
-0.005262519232928753,
-0.017867354676127434,
0.005425331648439169,
-0.015293868258595467,
-0.038885921239852905,
-0.03249946981668472,
-0.006780351512134075,
-0.0005603243480436504,
-0.04684797301888466,
0.030524712055921555,
0.06373845785856247,
0.022478625178337097,
-0.009879040531814098,
-0.002757307840511203,
0.034726325422525406,
0.03315071761608124,
0.0567217618227005,
0.05117563530802727,
0.017709795385599136,
-0.013886327855288982,
-0.017331650480628014,
0.005270397290587425,
-0.011785522103309631,
0.029348259791731834,
-0.0024907682090997696,
-0.041070759296417236,
0.009742488153278828,
0.04642781242728233,
0.00995256844907999,
0.010698354803025723,
-0.009847528301179409,
-0.04449507221579552,
0.026260076090693474,
0.021438725292682648,
0.04174301400780678,
-0.015262356027960777,
0.04659587889909744,
0.04609168320894241,
0.03174318000674248,
0.07924240082502365,
-0.007321308832615614,
-0.009695219807326794,
-0.012562819756567478,
-0.06289812922477722,
-0.05525119975209236,
0.03863382339477539,
-0.019474470987915993,
0.04726813733577728,
0.0016451936680823565,
0.06302417814731598,
-0.012552316300570965,
0.036764103919267654,
-0.00003670255682663992,
0.016869472339749336,
0.0342431366443634,
0.030818823724985123,
0.028150800615549088,
-0.029117170721292496,
-0.039011966437101364,
-0.07138539105653763,
-0.04726813733577728,
-0.008723597042262554,
-0.010251933708786964,
-0.013277093879878521,
-0.07352820783853531,
0.043444667011499405,
0.0020587898325175047,
0.04390684515237808,
0.0033612896222621202,
0.056805793195962906,
-0.011785522103309631,
0.031533099710941315,
-0.07806595414876938,
-0.02312987484037876,
-0.010609070770442486,
0.0022872525732964277,
-0.009936812333762646,
-0.015819068998098373,
-0.03722628206014633,
0.0017410429427400231,
0.009233042597770691,
-0.02852894552052021,
-0.03329777717590332,
0.0216803178191185,
-0.029327252879738808,
0.015829574316740036,
-0.021533261984586716,
0.006181621924042702,
0.04300349950790405,
0.009101741947233677,
0.00040440517477691174,
-0.02476850338280201,
-0.0425623282790184,
0.00022156938211992383,
-0.01134435273706913,
-0.021123604848980904,
-0.005682680290192366,
0.06268805265426636,
-0.005945281125605106,
-0.032604508101940155,
0.0575200691819191,
0.01266785990446806,
-0.06579724699258804,
-0.03016757406294346,
-0.03273055702447891,
0.003516223980113864,
-0.013046005740761757,
0.06382248550653458,
-0.0033481596037745476,
-0.0047399434261024,
0.0229197945445776,
0.06159563362598419,
0.008912669494748116,
-0.04291946813464165,
-0.026869308203458786,
0.00675409147515893,
0.014653122052550316,
-0.0017331650014966726,
0.0684022456407547,
0.0003456482372712344,
-0.052478134632110596,
0.015861084684729576,
-0.04941095784306526,
0.025146648287773132,
-0.022940801456570625,
-0.020829491317272186,
0.014684634283185005,
-0.0198000967502594,
-0.0011121141724288464,
0.010913687758147717,
-0.026596203446388245,
-0.013823303394019604,
0.04403289407491684,
-0.020755963400006294,
-0.02554580196738243,
-0.039453137665987015,
0.010309705510735512,
-0.004571879282593727,
-0.041932087391614914,
0.034516241401433945,
0.007783486507833004,
0.014936731196939945,
0.002439561067149043,
0.001249323133379221,
-0.005341299343854189,
-0.0030199086759239435,
0.010729867033660412,
0.00909649021923542,
0.02768862433731556,
0.005504111759364605,
-0.021165620535612106,
-0.0658392608165741,
-0.06936861574649811,
-0.010934695601463318,
-0.04245728999376297,
-0.03010454960167408,
0.023739108815789223,
0.025902938097715378,
-0.015756044536828995,
-0.03655402362346649,
0.03707922622561455,
0.02097654901444912,
-0.026638220995664597,
-0.0584024079144001,
-0.03644898533821106,
0.012478787451982498,
0.04382281377911568,
-0.04027245193719864,
0.03974724933505058,
0.04575555399060249,
0.030986888334155083,
-0.021659310907125473,
-0.009863284416496754,
0.0417640246450901,
-0.0013405767967924476,
-0.01825600489974022,
-0.01915935054421425,
-0.012657356448471546,
0.03443221002817154,
0.014632114209234715,
-0.057141922414302826,
-0.05785619840025902,
0.005451591685414314,
0.022877776995301247,
0.01499975472688675,
-0.08411627262830734,
-0.018098443746566772,
-0.01597663015127182,
-0.006491490639746189,
-0.045293379575014114,
0.05794022977352142,
-0.009537659585475922,
-0.023003825917840004,
-0.07966256141662598,
0.025230679661035538,
0.027226446196436882,
-0.026995357125997543,
-0.009910552762448788,
-0.004033547360450029,
-0.0008783995290286839,
0.014253969304263592,
-0.03159612417221069,
-0.02846592105925083,
0.028949107974767685,
0.02007320150732994,
-0.0558394230902195,
0.035629671066999435,
0.0065545146353542805,
-0.008618556894361973,
-0.035020437091588974,
-0.031028905883431435,
0.017930379137396812,
0.055461280047893524,
0.0013149732258170843,
-0.010567054152488708,
0.005850744899362326,
0.03886491060256958,
0.06810813397169113,
0.00970047153532505,
0.004487846978008747,
-0.053108375519514084,
0.0559234581887722,
0.02279374562203884,
0.06667958199977875,
-0.062309905886650085,
-0.05726797133684158,
0.03100789710879326,
-0.09520852565765381,
-0.00879187323153019,
-0.008004071190953255,
0.011270823888480663,
0.036974187940359116,
-0.017646770924329758,
-0.020598402246832848,
0.04756224900484085,
0.03111293725669384,
-0.021764351055026054,
0.01735265739262104,
0.025629833340644836,
-0.009112246334552765,
0.002704787766560912,
-0.007883274927735329,
0.05558732897043228,
-0.05600748956203461,
0.002675901632755995,
0.02493656799197197,
0.035020437091588974,
-0.02174334228038788,
-0.057814180850982666,
-0.005766712594777346,
0.06361240893602371,
-0.009537659585475922,
0.006281409878283739,
-0.04823450744152069,
-0.03829769417643547,
-0.027436526492238045,
-0.02235257625579834,
0.0321633405983448,
-0.014285480603575706,
-0.015073283575475216,
0.022814754396677017,
0.025251688435673714,
-0.023970196023583412,
0.022835761308670044,
-0.006612286902964115,
-0.020062698051333427,
0.023045841604471207,
0.03357088193297386,
-0.014663626439869404,
0.06226789206266403,
-0.02241560071706772,
0.03609184920787811,
0.02312987484037876,
0.018970279023051262,
0.005162730813026428,
0.017006024718284607,
-0.018854733556509018,
0.013434654101729393,
0.008917921222746372,
-0.03409608080983162,
0.01062482688575983,
0.03363390266895294,
0.02695334143936634,
0.007720462046563625,
-0.007536641787737608,
0.09201530367136002,
0.022331567481160164,
0.016438806429505348,
0.031365033239126205,
0.008245663717389107,
-0.030818823724985123,
0.02121814154088497,
0.017699290066957474,
0.033949024975299835,
0.0643266811966896,
-0.0032982653938233852,
-0.05470499023795128,
0.006549262907356024,
-0.013581710867583752,
-0.026722252368927002,
0.00561440410092473,
0.01973707228899002,
0.020587898790836334,
0.009049221873283386,
-0.018550116568803787,
-0.02235257625579834,
0.028444914147257805,
-0.046974021941423416,
-0.037478379905223846,
-0.022667696699500084,
-0.03817164525389671,
-0.04134386405348778,
0.023487010970711708,
-0.04285644367337227,
0.037877533584833145,
-0.04239426553249359,
-0.01084015890955925,
-0.0012434145901352167,
0.003148582996800542,
0.025524793192744255,
-0.048780716955661774,
0.05134369805455208,
0.0016307507175952196,
-0.0047556995414197445,
0.06172168254852295,
0.010115381330251694,
-0.03573470935225487,
-0.015482940711081028,
0.06562917679548264,
-0.04100773483514786,
0.026806285604834557,
-0.011354856193065643,
0.00679610762745142,
0.03951616212725639,
-0.016774935647845268,
-0.030188582837581635,
-0.0160816702991724,
-0.0007851762347854674,
0.028718018904328346,
0.020293787121772766,
-0.03489438816905022,
0.04449507221579552,
-0.028213825076818466,
0.027394510805606842,
0.023318946361541748,
-0.011491408571600914,
0.004162222146987915,
0.025587817654013634,
-0.0012164979707449675,
0.005850744899362326,
0.045629508793354034,
-0.0016727667534723878,
-0.02876003459095955,
0.007305553182959557,
-0.03249946981668472,
0.03892793506383896,
-0.02195342257618904,
0.021659310907125473,
-0.002246549353003502,
-0.015115299262106419,
-0.04144890233874321,
0.030440678820014,
0.05125966668128967,
0.04785636067390442,
-0.02453741431236267,
-0.004498350899666548,
-0.01075612660497427,
-0.010987215675413609,
-0.052772246301174164,
-0.005112836603075266,
-0.00044970380258746445,
0.0002095882227877155,
0.010525038465857506,
0.03550362214446068,
0.023823140189051628,
0.015545964241027832,
0.009521903470158577,
-0.003135452978312969,
-0.026049993932247162,
-0.034348178654909134,
-0.009611187502741814,
0.030314631760120392,
0.007153244689106941,
-0.015882093459367752,
-0.008555532433092594,
-0.03523051738739014,
0.04060858115553856,
0.02285677008330822,
0.036869145929813385,
0.03789854049682617,
-0.01675392873585224,
0.035965800285339355,
-0.007200512569397688,
-0.007147992495447397,
0.060881357640028,
0.014012375846505165,
-0.02533571980893612,
-0.014842194505035877,
-0.009726732037961483,
0.014621609821915627,
0.0676039382815361,
-0.03121797740459442,
-0.03661704808473587,
0.029474308714270592,
0.06323426216840744,
0.00548835564404726,
0.033339790999889374,
-0.01533588394522667,
0.01744719408452511,
0.04705805331468582,
-0.038108620792627335,
0.0459236204624176,
0.0022005944047123194,
0.014674129895865917,
-0.013518686406314373,
-0.052562166005373,
0.012195179238915443,
-0.03397003188729286,
-0.026995357125997543,
-0.017972394824028015,
-0.004973658360540867,
0.03165914863348007,
-0.022478625178337097,
0.004445830825716257,
0.012405259534716606,
0.012594331987202168,
0.017562737688422203,
0.009800259955227375,
0.005677428096532822,
0.02966338023543358,
0.04403289407491684,
-0.04037749022245407,
0.02859196998178959,
-0.045965634286403656,
0.008881157264113426,
-0.00765218585729599,
-0.021165620535612106,
0.017205601558089256,
0.024222293868660927,
-0.00017348062829114497,
-0.03409608080983162,
-0.03312971070408821,
0.007762478198856115,
0.007631178013980389,
-0.05306636169552803,
-0.026701245456933975,
0.05016724765300751,
-0.011606953106820583,
-0.007688950281590223,
0.01137586496770382,
0.023213906213641167,
0.029117170721292496,
0.006859131623059511,
-0.019484976306557655,
0.06600732356309891,
0.00667005917057395,
-0.013665743172168732,
-0.019316911697387695,
-0.007489373441785574,
0.007599665783345699,
-0.02027277834713459,
0.03363390266895294,
-0.05688982829451561,
0.02030429057776928,
-0.0009361716802231967,
-0.0036343943793326616,
-0.03493640571832657,
-0.0212811641395092,
-0.002397544914856553,
0.02148074097931385,
-0.01151241734623909,
0.00934858713299036,
0.029978502541780472,
-0.017310641705989838,
-0.02157527767121792,
0.02533571980893612,
-0.03941112011671066,
0.024978583678603172,
-0.04625974968075752,
0.006869635544717312,
-0.0262810830026865,
-0.000491391634568572,
-0.018129955977201462,
0.07575506716966629,
-0.01631275936961174,
0.059788938611745834,
-0.04315055534243584,
-0.006129101384431124,
0.0212811641395092,
-0.03289862349629402,
0.00854502897709608,
-0.008434736169874668,
-0.04403289407491684,
-0.019915640354156494,
-0.006087085697799921,
-0.029621364548802376,
-0.028654994443058968,
0.022772736847400665,
-0.023003825917840004,
0.005378063302487135,
0.0080198273062706,
0.009632195346057415,
-0.008397972211241722,
-0.011859050020575523,
0.008944181725382805,
0.013287598267197609,
-0.002991022542119026,
-0.008650069124996662,
0.026701245456933975,
-0.022982817143201828,
-0.017562737688422203,
0.055461280047893524,
-0.01087167114019394,
0.004262010101228952,
0.062141843140125275,
0.016554351896047592,
0.05499910190701485,
-0.013970360159873962,
0.005724696442484856,
0.02735249511897564,
0.025587817654013634,
0.011218303814530373,
0.01305650919675827,
-0.027940720319747925,
-0.0467219278216362,
0.030251607298851013,
0.01538840401917696,
0.006696319207549095,
-0.012111146934330463,
0.05621756985783577,
-0.0023240167647600174,
-0.028171809390187263,
0.04142789542675018,
-0.03476833924651146,
-0.010462014004588127,
-0.05491507053375244,
-0.006045069545507431,
0.013266590423882008,
-0.025587817654013634,
-0.015577476471662521,
0.01518882717937231,
0.0050261784344911575,
0.0015506574418395758,
-0.04441104084253311,
-0.010661590844392776,
0.025755882263183594,
0.01508378703147173,
0.02970539778470993,
-0.019653040915727615,
-0.027730640023946762,
0.002830836223438382,
-0.022982817143201828,
-0.009537659585475922,
-0.02976842224597931,
-0.019590016454458237,
0.01580856554210186,
0.034348178654909134,
-0.011554433032870293,
-0.017961891368031502,
0.001759425038471818,
-0.0019786967895925045,
-0.010351722128689289,
-0.0017975021619349718,
-0.04516733065247536,
0.011754009872674942,
-0.007862266153097153,
-0.003865482984110713,
0.02554580196738243,
0.01367624755948782,
0.026218058541417122,
-0.0032378672622144222,
-0.026722252368927002,
0.0014180440921336412,
0.01903330348432064,
0.012258202768862247,
-0.027163421735167503,
0.01168048195540905,
0.012993485666811466,
0.03581874445080757,
0.060461197048425674,
-0.01805642805993557,
-0.00679610762745142,
0.008634313009679317,
-0.0011547867907211185,
0.003944263327866793,
0.02279374562203884,
-0.022037455812096596,
0.040461525321006775,
0.013266590423882008,
0.03802458941936493,
0.019884129986166954,
0.008439987897872925,
-0.00396789750084281,
-0.006244645919650793,
-0.021701326593756676,
0.019863121211528778,
-0.007253032643347979,
0.0187601987272501,
0.009674211964011192,
0.031428057700395584,
-0.009269806556403637,
-0.00025915412697941065,
-0.018781205639243126,
0.0187601987272501,
-0.014253969304263592,
0.02312987484037876,
0.013487175107002258,
-0.024978583678603172,
0.033381808549165726,
0.025902938097715378,
0.029348259791731834,
0.018308524042367935,
0.03817164525389671,
0.0400833785533905,
-0.016291750594973564,
0.028381889685988426,
-0.02325592190027237,
-0.04161696881055832,
-0.00478195957839489,
0.0005137127009220421,
0.0017922502011060715,
-0.0038812390994280577,
-0.06596530973911285,
0.03651200979948044,
0.027436526492238045,
0.03111293725669384,
-0.018581628799438477,
0.04390684515237808,
-0.005672176368534565,
-0.08462046831846237,
0.022646689787507057,
0.022205520421266556,
-0.02073495462536812,
-0.0029358763713389635,
0.024894552305340767,
0.01137586496770382,
-0.005097080487757921,
0.009458879008889198,
-0.003232615301385522,
-0.003681662492454052,
-0.026239067316055298,
-0.017405178397893906,
0.02819281630218029,
0.013539695180952549,
0.009359090588986874,
-0.005493607837706804,
0.024453382939100266,
-0.01711106486618519,
0.057309988886117935,
0.00773621816188097,
-0.00539381941780448,
0.005467347800731659,
0.004088693764060736,
-0.011186792515218258,
0.026869308203458786,
0.006943163927644491,
-0.03481035679578781,
0.044957250356674194,
-0.037772491574287415,
-0.03661704808473587,
-0.005099706817418337,
-0.003051420673727989,
-0.024684470146894455,
-0.01828751713037491,
-0.04621773213148117,
-0.023108866065740585,
0.012709876522421837,
0.022268543019890785,
-0.05794022977352142,
0.005798224825412035,
-0.034348178654909134,
-0.02342398650944233,
-0.010519785806536674,
0.008229907602071762,
0.030482696369290352,
0.02020975388586521,
-0.012993485666811466,
-0.0007661376730538905,
-0.03449523448944092,
-0.049326926469802856,
0.03443221002817154,
-0.011585945263504982,
-0.028907090425491333,
-0.04432700574398041,
-0.04520934447646141,
0.02829785645008087,
-0.035125475376844406,
0.0026089383754879236,
-0.0383187010884285,
0.006423214450478554,
0.0047136833891272545,
0.04285644367337227,
-0.028108784928917885,
0.02134418860077858,
0.052099987864494324,
0.008886409923434258,
0.016974512487649918,
-0.031091928482055664,
0.024579429998993874,
-0.0049290163442492485,
-0.04149091988801956,
0.028045760467648506,
0.028150800615549088,
-0.00845574401319027,
-0.007589161861687899,
0.0016438807360827923,
-0.038549792021512985,
0.029474308714270592,
0.00560390017926693,
0.0025432882830500603,
-0.005509363953024149,
-0.011827537789940834,
-0.049284908920526505,
0.016155198216438293,
0.006087085697799921,
0.0179198756814003,
-0.0026562067214399576,
-0.05508313328027725,
0.011890562251210213,
0.03836071863770485,
-0.03728930652141571,
0.00032447604462504387,
-0.005761460401117802,
0.014054392464458942,
0.014369512908160686,
0.032331403344869614,
-0.036701079457998276,
0.036806121468544006,
0.013434654101729393,
0.012006106786429882,
-0.07386434078216553,
0.004892251919955015,
-0.06697369366884232,
0.01987362466752529,
0.014390521682798862,
-0.0020325297955423594,
-0.019989170134067535,
0.030398663133382797,
0.02510463260114193,
0.025230679661035538,
-0.025419753044843674,
0.010314957238733768,
-0.008403223939239979,
0.010141640901565552,
0.0279617290943861,
-0.014127920381724834,
-0.017961891368031502,
0.028402896597981453,
-0.03707922622561455,
0.020997555926442146,
0.005204746965318918,
-0.028844065964221954,
-0.01694300025701523,
-0.02943229302763939,
0.011533425189554691,
-0.0225206408649683,
-0.017604755237698555,
0.021722333505749702,
0.02409624494612217,
-0.016564855352044106,
-0.0011784208472818136,
-0.00756815355271101,
-0.01584007777273655,
0.0014850072329863906,
0.0004336194833740592,
-0.006276158150285482,
0.022604672238230705,
0.0008232533582486212,
-0.011554433032870293,
0.05407474562525749,
-0.0070534562692046165,
0.036596041172742844,
-0.021029068157076836,
0.01681695133447647,
-0.018234996125102043,
-0.007363324984908104,
0.0021559521555900574,
-0.0006029969663359225,
-0.017300138249993324,
-0.02571386657655239,
0.006775099318474531,
0.022205520421266556,
-0.007836006581783295,
0.0028938602190464735,
0.029159188270568848,
0.01347667071968317,
0.03020959161221981,
0.026134027168154716,
-0.017667777836322784,
0.05634361878037453,
0.0325624942779541,
0.02342398650944233,
0.01782533898949623,
-0.053822651505470276,
0.03573470935225487,
-0.006286662071943283,
0.019989170134067535,
0.05201595649123192,
0.05575539171695709,
-0.0399993471801281,
-0.02386515587568283,
-0.007631178013980389,
-0.04050353914499283,
-0.014527074061334133,
0.01015214528888464,
0.005987297277897596,
-0.026071002706885338,
-0.01709005795419216,
-0.004196360241621733,
0.03525152429938316,
0.009527155198156834,
-0.0068853916600346565,
-0.037436362355947495,
-0.049621038138866425,
-0.01761525869369507,
0.013403142802417278,
0.01701652817428112,
0.04109176620841026,
0.03134402632713318,
-0.011417880654335022,
-0.020230762660503387,
-0.027478542178869247,
0.004088693764060736,
0.02926422841846943,
-0.01859213411808014,
-0.021890398114919662,
-0.021134108304977417,
0.003479460021480918,
-0.0002332222939003259,
-0.012951469048857689,
-0.024894552305340767,
-0.041595958173274994,
-0.0007018005126155913,
-0.006155361887067556,
-0.0038733610417693853,
-0.0271214060485363,
0.022100480273365974,
0.027646606788039207,
0.0036711585707962513,
0.05134369805455208,
-0.01872868649661541,
-0.025965962558984756,
0.0065124984830617905,
0.04241527244448662,
0.012783404439687729,
0.07281393557786942,
-0.0003912751271855086,
-0.00029345633811317384,
-0.012940965592861176,
0.06188974529504776,
0.005498859565705061,
-0.016827456653118134,
0.019379936158657074,
0.024054229259490967,
0.028991123661398888,
0.04352870211005211,
-0.03016757406294346,
-0.029726404696702957,
-0.01845558173954487,
-0.011711993254721165,
-0.032478462904691696,
0.014464049600064754,
-0.0028334620874375105,
-0.015987133607268333,
0.0006633951561525464,
0.03373894467949867,
0.015682516619563103,
0.014537577517330647,
-0.027268461883068085,
0.06693167984485626,
0.010430501773953438,
-0.043360635638237,
0.010125884786248207,
-0.023655075579881668,
-0.027331486344337463,
-0.027247454971075058,
-0.024054229259490967,
-0.05432684347033501,
-0.009695219807326794,
-0.0742424875497818,
-0.00019662232080008835,
-0.018770702183246613,
-0.01966354437172413,
0.028886083513498306,
-0.045461442321538925,
0.006827619392424822,
-0.01727912947535515
] |
Understanding the decision-making process of a machine/deep learning model is
crucial, particularly in security-sensitive applications. In this study, we
introduce a neural network framework that combines the global and exact
interpretability properties of rule-based models with the high performance of
deep neural networks.
Our proposed framework, called $\textit{Truth Table rules}$ (TT-rules), is
built upon $\textit{Truth Table nets}$ (TTnets), a family of deep neural
networks initially developed for formal verification. By extracting the set of
necessary and sufficient rules $\mathcal{R}$ from the trained TTnet model
(global interpretability), yielding the same output as the TTnet (exact
interpretability), TT-rules effectively transforms the neural network into a
rule-based model. This rule-based model supports binary classification,
multi-label classification, and regression tasks for tabular datasets.
Furthermore, our TT-rules framework optimizes the rule set $\mathcal{R}$ into
$\mathcal{R}_{opt}$ by reducing the number and size of the rules. To enhance
model interpretation, we leverage Reduced Ordered Binary Decision Diagrams
(ROBDDs) to visualize these rules effectively.
After outlining the framework, we evaluate the performance of TT-rules on
seven tabular datasets from finance, healthcare, and justice domains. We also
compare the TT-rules framework to state-of-the-art rule-based methods. Our
results demonstrate that TT-rules achieves equal or higher performance compared
to other interpretable methods while maintaining a balance between performance
and complexity. Notably, TT-rules presents the first accurate rule-based model
capable of fitting large tabular datasets, including two real-life DNA datasets
with over 20K features. Finally, we extensively investigate a rule-based model
derived from TT-rules using the Adult dataset. | [
-0.018390733748674393,
-0.054590854793787,
-0.031780071556568146,
0.005425866227596998,
0.05049377307295799,
-0.0004259143315721303,
-0.0028628825675696135,
0.008304896764457226,
-0.005711923819035292,
0.04281635954976082,
0.06913365423679352,
-0.03635699301958084,
0.05344662442803383,
-0.059905990958213806,
-0.048131491988897324,
-0.0066346898674964905,
-0.012992549687623978,
-0.01806776411831379,
-0.020227037370204926,
-0.02954697795212269,
0.036689188331365585,
0.05625183507800102,
0.0072160325944423676,
-0.029030228033661842,
-0.005209016148000956,
-0.0023645886685699224,
0.008826259523630142,
-0.014312106184661388,
-0.06669755280017853,
0.04864824190735817,
0.03320113196969032,
0.06536876410245895,
0.011636083014309406,
-0.0376119539141655,
-0.029952995479106903,
-0.03299812227487564,
-0.0033704040106385946,
0.008706300519406796,
-0.05267150327563286,
0.08216311782598495,
0.010427259840071201,
-0.010362666100263596,
0.025320708751678467,
0.013933771289885044,
0.015465564094483852,
0.009416830725967884,
-0.022792328149080276,
-0.043296195566654205,
-0.010168884880840778,
-0.03536040708422661,
-0.023622818291187286,
-0.032721295952796936,
0.06367087364196777,
0.05089979246258736,
-0.0001023693912429735,
0.026003554463386536,
0.03622780740261078,
-0.012807996943593025,
0.0795055478811264,
0.030082182958722115,
-0.005619646981358528,
0.024361031129956245,
-0.02890104241669178,
-0.026058921590447426,
0.007981928996741772,
-0.021685007959604263,
0.029048684984445572,
0.03547113761305809,
0.00867861695587635,
-0.04543701559305191,
-0.037482768297195435,
0.003335800254717469,
-0.002302302047610283,
-0.0021569663658738136,
0.011866775341331959,
-0.0026298840530216694,
0.04111846908926964,
0.007654346525669098,
-0.007031479384750128,
0.027369249612092972,
0.002558369655162096,
0.06503657251596451,
-0.02467477135360241,
0.0035088190343230963,
0.029380880296230316,
0.035840243101119995,
-0.01105474028736353,
-0.07869350910186768,
-0.03043283335864544,
-0.031650885939598083,
-0.006320949178189039,
-0.0055642807856202126,
-0.059905990958213806,
0.01313096471130848,
0.02814437262713909,
0.020190127193927765,
0.018473781645298004,
-0.009975103661417961,
-0.010371893644332886,
-0.007945017889142036,
0.023715095594525337,
0.05507069453597069,
-0.030008360743522644,
0.033274952322244644,
0.028624212369322777,
-0.0747440755367279,
9.777357945495169e-7,
0.04595376178622246,
0.0056381020694971085,
0.13944844901561737,
-0.02871648781001568,
0.04894352704286575,
-0.04514173045754433,
-0.03960512951016426,
-0.06810015439987183,
-0.048316046595573425,
-0.07511317729949951,
-0.07053625583648682,
-0.018686018884181976,
-0.044145140796899796,
-0.025708269327878952,
0.09338395297527313,
0.04779929667711258,
0.03392089158296585,
-0.04894352704286575,
0.030857305973768234,
0.02794136479496956,
0.0018120823660865426,
-0.001118277432397008,
0.0025099243503063917,
0.016305280849337578,
0.03200153633952141,
0.0016494448063895106,
-0.0304697435349226,
0.008881625719368458,
0.035932522267103195,
0.054738499224185944,
-0.012300475500524044,
-0.035950977355241776,
-0.012328158132731915,
0.00014497524534817785,
-0.016111500561237335,
0.00020949679310433567,
0.00473379110917449,
0.0022307876497507095,
-0.008406401611864567,
0.0036057094112038612,
0.06706665456295013,
0.020153217017650604,
0.06902292370796204,
-0.01643446832895279,
0.02814437262713909,
-0.04392367601394653,
0.013804584741592407,
0.05462776869535446,
0.02055923454463482,
0.0023126830346882343,
-0.0016494448063895106,
-0.004627672955393791,
-0.039162203669548035,
0.020965250208973885,
-0.021980294957756996,
-0.016286825761198997,
0.031798526644706726,
0.06153005734086037,
0.05503378435969353,
0.040897004306316376,
0.016277598217129707,
-0.030765028670430183,
0.044809531420469284,
0.011617627926170826,
0.03384706750512123,
-0.0008016532519832253,
-0.00457000033929944,
0.002191570121794939,
0.04300091043114662,
0.02882722020149231,
0.032850481569767,
-0.04713490605354309,
-0.03063584305346012,
-0.07112682610750198,
-0.01976565457880497,
0.02801518514752388,
-0.031853895634412766,
0.003725669113919139,
0.04783620685338974,
0.0876258909702301,
-0.007926562801003456,
0.06127168610692024,
0.015281010419130325,
-0.018418416380882263,
0.06167770177125931,
0.019987119361758232,
-0.02303224802017212,
-0.005707309581339359,
-0.0671035647392273,
-0.0708315446972847,
-0.031097225844860077,
-0.005550439469516277,
-0.012678809463977814,
-0.007525159511715174,
-0.030912671238183975,
-0.0024753205943852663,
0.0047845435328781605,
0.012254336848855019,
0.0136015759781003,
0.012328158132731915,
-0.035138942301273346,
-0.021075982600450516,
-0.006487047299742699,
-0.03868236392736435,
0.021057527512311935,
-0.00717912195250392,
-0.044957175850868225,
-0.036763012409210205,
-0.033127311617136,
0.022054115310311317,
0.017144998535513878,
-0.01816004142165184,
0.008803190663456917,
0.005596577655524015,
0.024102656170725822,
0.013011005707085133,
-0.0034211562015116215,
-0.0029182485304772854,
-0.03358869627118111,
0.00004743595854961313,
0.018473781645298004,
-0.03713211789727211,
0.018335366621613503,
-0.0060994853265583515,
-0.04030643403530121,
0.024231843650341034,
-0.0070914593525230885,
-0.00741442758589983,
0.00558273633942008,
0.035840243101119995,
-0.01659133844077587,
-0.016111500561237335,
0.008332580327987671,
-0.005098283756524324,
0.0049690967425704,
0.019396549090743065,
0.03146633133292198,
0.03805488348007202,
-0.01974719949066639,
-0.00150295568164438,
0.017947806045413017,
0.046470511704683304,
0.015502474270761013,
-0.005624260753393173,
-0.00859095435589552,
0.09545095264911652,
0.013555437326431274,
-0.04506790637969971,
0.016711298376321793,
-0.0013795356499031186,
-0.05846647545695305,
0.028162827715277672,
-0.01737569086253643,
0.0710160955786705,
0.05185946822166443,
-0.01242043450474739,
0.012595760636031628,
-0.05850338563323021,
0.0024499446153640747,
0.0397527739405632,
-0.03967895358800888,
0.02624347433447838,
0.030100638046860695,
0.033441051840782166,
-0.021020617336034775,
-0.0459168516099453,
-0.02236785553395748,
-0.005476618185639381,
-0.05680549517273903,
-0.002768299076706171,
0.0010652183555066586,
-0.015262555330991745,
0.04942336305975914,
-0.01273417565971613,
0.007409813813865185,
-0.0016390637028962374,
-0.011820636689662933,
0.005130580626428127,
-0.06082875654101372,
0.01741260103881359,
-0.007483635097742081,
-0.07980082929134369,
-0.0363016277551651,
0.01739414595067501,
0.046544332057237625,
-0.054886139929294586,
-0.02788599766790867,
0.011663766577839851,
0.005139808636158705,
-0.01578853279352188,
-0.034179266542196274,
0.02461940608918667,
-0.048168402165174484,
-0.06514730304479599,
-0.02899331785738468,
0.032592106610536575,
0.05676858499646187,
-0.03381015732884407,
0.04868515208363533,
0.04056480899453163,
0.07566683739423752,
-0.05197019875049591,
0.01242043450474739,
-0.0409708246588707,
0.006786946207284927,
-0.02794136479496956,
-0.026944776996970177,
-0.0281812846660614,
0.00860018189996481,
-0.023419808596372604,
-0.05012466758489609,
-0.008129571564495564,
-0.05348353832960129,
0.03739049285650253,
-0.03864545375108719,
-0.10896024852991104,
0.03897764906287193,
-0.0011696063447743654,
-0.008526360616087914,
0.017043493688106537,
0.04957100749015808,
-0.029325513169169426,
-0.0007635891670361161,
-0.03146633133292198,
-0.007474407088011503,
-0.05595654994249344,
0.015336376614868641,
-0.03467755764722824,
-0.028384292498230934,
-0.01152535155415535,
0.024084201082587242,
0.031650885939598083,
-0.049829382449388504,
0.020430047065019608,
0.02074378728866577,
-0.0045746141113340855,
-0.05034613236784935,
-0.013490843586623669,
-0.061382416635751724,
-0.02976844273507595,
0.005185946822166443,
-0.05846647545695305,
-0.009495265781879425,
0.0011494208592921495,
-0.014441292732954025,
0.0017659440636634827,
0.009882827289402485,
0.0377965085208416,
-0.011285432614386082,
-0.0348990224301815,
0.021832650527358055,
0.04875897243618965,
0.005808813963085413,
0.051416538655757904,
-0.012946411967277527,
-0.05034613236784935,
0.01976565457880497,
-0.04942336305975914,
-0.015345604158937931,
-0.04052789881825447,
0.028384292498230934,
-0.035120487213134766,
0.0036841444671154022,
-0.02803364209830761,
0.044994086027145386,
0.012088239192962646,
0.010021242313086987,
0.046581245958805084,
0.033385686576366425,
0.003859470132738352,
-0.03694756329059601,
-0.0028005957137793303,
0.03526812791824341,
-0.018713701516389847,
0.004689959809184074,
-0.0198763869702816,
0.0561780147254467,
-0.03305349126458168,
-0.012291247956454754,
0.024194933474063873,
-0.03486211225390434,
-0.048352956771850586,
-0.027756812050938606,
0.014976497739553452,
-0.047393277287483215,
0.0005773056764155626,
-0.1306637078523636,
0.03927293419837952,
0.0036472338251769543,
0.02565290406346321,
0.008567885495722294,
0.01985793188214302,
-0.06267429143190384,
-0.01817849650979042,
-0.04141375422477722,
-0.005019848700612783,
-0.02303224802017212,
-0.040084969252347946,
-0.014764261431992054,
-0.04595376178622246,
0.044920265674591064,
0.05053068324923515,
0.006657759193331003,
0.011128561571240425,
-0.004007112700492144,
-0.01200519036501646,
0.010759455151855946,
0.008258759044110775,
-0.03613552823662758,
-0.037667322903871536,
0.000015021986655483488,
0.007372903171926737,
-0.029270147904753685,
-0.039863504469394684,
0.009167683310806751,
0.010851732455193996,
-0.018196951597929,
0.03654154762625694,
0.041561394929885864,
-0.002417647745460272,
-0.014533570036292076,
0.005868793930858374,
-0.03971586376428604,
0.04111846908926964,
-0.025929734110832214,
0.0011148171033710241,
0.0281812846660614,
-0.0377965085208416,
0.013453933410346508,
-0.0313556008040905,
0.006081030238419771,
-0.04957100749015808,
-0.01079636625945568,
-0.010187339968979359,
0.0011788340052589774,
-0.00034228863660246134,
-0.011672994121909142,
-0.09190752357244492,
-0.02568981423974037,
-0.030082182958722115,
-0.03045128844678402,
-0.044883355498313904,
0.009056951850652695,
-0.05470158904790878,
0.0230507031083107,
-0.09426981210708618,
-0.01804008148610592,
0.0613085962831974,
-0.0049460274167358875,
-0.03279511630535126,
-0.046691976487636566,
0.02805209718644619,
-0.036117073148489,
-0.0008760513155721128,
0.06459364295005798,
-0.013167875818908215,
-0.0016713605728000402,
-0.007737395819276571,
0.0025329936761409044,
-0.022866150364279747,
-0.021020617336034775,
0.015890035778284073,
0.02399192377924919,
-0.000756091671064496,
0.02074378728866577,
-0.0008633632678538561,
-0.001851300010457635,
0.02637266181409359,
0.010916325263679028,
0.01654520072042942,
-0.050715237855911255,
0.01827077381312847,
-0.024268753826618195,
0.09020963311195374,
-0.06208371743559837,
0.026778679341077805,
0.0031650885939598083,
0.02293997071683407,
0.034123897552490234,
0.06474128365516663,
0.006200989708304405,
0.018390733748674393,
-0.048279132694005966,
-0.01445052120834589,
-0.017800163477659225,
-0.016305280849337578,
0.0058641801588237286,
-0.016093045473098755,
-0.017707886174321175,
0.0033773246686905622,
-0.04569539055228233,
0.03794415295124054,
0.010556446388363838,
0.0013506992254406214,
0.00827260036021471,
-0.03613552823662758,
-0.020374679937958717,
-0.016692843288183212,
0.05588272958993912,
0.00048762434744276106,
0.02568981423974037,
-0.04019569978117943,
-0.00859095435589552,
-0.00013935213792137802,
-0.034197721630334854,
0.041745949536561966,
-0.03864545375108719,
0.0049829380586743355,
0.014967270195484161,
0.00410169642418623,
-0.010537991300225258,
0.055587444454431534,
0.001622915267944336,
-0.019230449572205544,
-0.007068390026688576,
-0.024859324097633362,
0.03548959270119667,
-0.05425865948200226,
0.027682989835739136,
0.02138972282409668,
-0.018649106845259666,
-0.013933771289885044,
-0.011626855470240116,
-0.0030497426632791758,
0.039863504469394684,
0.016785118728876114,
0.003167395479977131,
-0.011949824169278145,
-0.0011846013367176056,
0.021814195439219475,
-0.005139808636158705,
-0.00981823354959488,
-0.02718469686806202,
-0.0023057623766362667,
0.03451146185398102,
0.013407794758677483,
0.006380929145962,
-0.003418849315494299,
0.00700379628688097,
0.014994952827692032,
-0.016895851120352745,
0.0009216128964908421,
-0.0035065121483057737,
0.015880808234214783,
-0.01399836502969265,
0.008078819140791893,
-0.04691344127058983,
0.0018040081486105919,
-0.03558186814188957,
-0.00017719996685627848,
-0.0017001969972625375,
0.003158167703077197,
0.015087229199707508,
-0.0072160325944423676,
0.02644648216664791,
-0.011433075182139874,
-0.019507279619574547,
-0.0027198537718504667,
-0.0013599268859252334,
-0.00318123702891171,
0.09618916362524033,
-0.011294660158455372,
0.016249915584921837,
-0.038423988968133926,
-0.034917477518320084,
-0.03484365716576576,
0.004535396583378315,
0.00637170160189271,
0.010611812584102154,
-0.032407552003860474,
-0.039051469415426254,
-0.029011772945523262,
0.027572257444262505,
0.0132509246468544,
-0.005504301283508539,
-0.017486421391367912,
0.009112317115068436,
0.001062911469489336,
-0.04809458181262016,
-0.036633823066949844,
-0.012632670812308788,
-0.024545583873987198,
-0.03301658108830452,
-0.019322726875543594,
0.03152169659733772,
0.0071745081804692745,
-0.03146633133292198,
-0.02297688089311123,
-0.008447925560176373,
0.019562646746635437,
-0.006971499416977167,
0.016563655808568,
-0.010805593803524971,
0.028162827715277672,
0.011792954057455063,
0.04632287099957466,
0.05215475335717201,
0.032629016786813736,
0.005665785167366266,
-0.02303224802017212,
-0.04599067568778992,
0.012623443268239498,
0.025043878704309464,
-0.06403998285531998,
-0.031004948541522026,
-0.006763877347111702,
-0.0395682193338871,
0.03246292099356651,
-0.018492236733436584,
0.05429556965827942,
-0.039125293493270874,
-0.05204402282834053,
-0.002148892031982541,
0.03783341869711876,
-0.040860094130039215,
0.047504011541604996,
0.0019320419523864985,
0.03787032887339592,
0.04285326972603798,
-0.0230507031083107,
-0.03438227251172066,
0.02714778482913971,
-0.03393934667110443,
0.002225020434707403,
0.021057527512311935,
-0.00862325169146061,
-0.015926947817206383,
0.02888258546590805,
-0.021648097783327103,
-0.006422453559935093,
0.011368481442332268,
0.020190127193927765,
0.008055750280618668,
0.023364443331956863,
0.021075982600450516,
0.018492236733436584,
0.1066717877984047,
-0.007063776254653931,
-0.007585139479488134,
0.03777805343270302,
-0.012881818227469921,
0.03521276265382767,
0.015373286791145802,
0.03039592318236828,
0.030303645879030228,
0.011460757814347744,
0.03048820048570633,
0.00982746109366417,
-0.04484644532203674,
0.010980919003486633,
0.009273801930248737,
0.02626192942261696,
-0.01312173716723919,
0.013712307438254356,
0.02875339798629284,
0.046581245958805084,
0.019175084307789803,
0.01897207647562027,
-0.030377468094229698,
0.025228431448340416,
-0.015520929358899593,
-0.007945017889142036,
0.012189743109047413,
-0.016803575679659843,
-0.023770460858941078,
-0.013906088657677174,
0.045843031257390976,
0.018353821709752083,
-0.05045686289668083,
0.003153553931042552,
0.06182534247636795,
0.009864372201263905,
-0.025763636454939842,
-0.01895362138748169,
-0.016831258311867714,
0.011248521506786346,
0.0445142462849617,
-0.04949718713760376,
-0.013057143427431583,
-0.0053612724877893925,
-0.011276204138994217,
0.005541211925446987,
0.025265341624617577,
0.007026865612715483,
0.021961838006973267,
0.0031097226310521364,
-0.009993559680879116,
-0.04543701559305191,
-0.03229682147502899,
-0.016941990703344345,
-0.00946758221834898,
0.026778679341077805,
0.03949439898133278,
-0.019544191658496857,
0.027516892179846764,
0.02135281264781952,
0.004646128509193659,
-0.036781467497348785,
-0.007640505209565163,
0.02316143549978733,
-0.031115680932998657,
-0.01717268116772175,
-0.021168259903788567,
0.02980535291135311,
0.006145623978227377,
0.04717181622982025,
-0.013712307438254356,
0.024508673697710037,
0.034105442464351654,
0.01449665892869234,
-0.023715095594525337,
-0.034308452159166336,
0.01151612401008606,
0.009158455766737461,
0.01902744174003601,
0.02544989623129368,
-0.014893448911607265,
-0.0205776896327734,
0.01240197941660881,
-0.02731388434767723,
0.04063862934708595,
-0.03292430192232132,
-0.01904589682817459,
0.033459506928920746,
-0.005010621156543493,
-0.018612196668982506,
-0.01731109619140625,
-0.010464170016348362,
-0.002809823490679264,
0.020411591976881027,
0.009772095829248428,
-0.014727350324392319,
0.0020208582282066345,
0.04868515208363533,
0.015917718410491943,
-0.024342576041817665,
-0.009398374706506729,
0.017597153782844543,
0.014662756584584713,
0.003688758471980691,
0.03524967283010483,
-0.006823856849223375,
0.015391742810606956,
0.02469322644174099,
-0.024084201082587242,
0.04883279278874397,
-0.04606449604034424,
-0.05182255804538727,
0.029307058081030846,
-0.0026783293578773737,
0.002133897040039301,
-0.022072570398449898,
-0.01974719949066639,
-0.03641235828399658,
0.050678327679634094,
-0.01744951121509075,
-0.006786946207284927,
0.05355735868215561,
-0.06348632276058197,
-0.02216484770178795,
0.010445714928209782,
0.02733233943581581,
-0.016858940944075584,
0.035065121948719025,
0.07891497761011124,
0.04266871511936188,
-0.0591677762567997,
-0.020263949409127235,
-0.002539914334192872,
-0.006344018504023552,
0.009319939650595188,
-0.04429278522729874,
0.009596769697964191,
0.005019848700612783,
0.018418416380882263,
0.012641898356378078,
0.025320708751678467,
-0.0008679770980961621,
0.004586148541420698,
0.006422453559935093,
-0.02561599388718605,
0.031078770756721497,
0.010768682695925236,
0.003125871066004038,
-0.033459506928920746,
0.02628038451075554,
0.0060164364986121655,
0.053963374346494675,
-0.03700292855501175,
-0.02899331785738468,
0.016083817929029465,
-0.01362003106623888,
-0.02476704865694046,
0.029270147904753685,
-0.017615608870983124,
0.020836064592003822,
0.02561599388718605,
0.009476810693740845,
-0.02312452346086502,
-0.03927293419837952,
0.006228672806173563,
-0.04595376178622246,
0.016637476161122322,
0.03142942115664482,
0.03318267688155174,
-0.008752438239753246,
0.049128077924251556,
0.02882722020149231,
0.007921949028968811,
0.006496274843811989,
-0.007266785018146038,
0.02050386741757393,
-0.0025975871831178665,
-0.007271398790180683,
-0.07515008747577667,
-0.01648060604929924,
0.007299081888049841,
-0.05093670263886452,
-0.011266976594924927,
0.021611187607049942,
-0.024361031129956245,
0.062268272042274475,
-0.010722544975578785,
-0.0042493389919400215,
0.06009054183959961,
-0.06023818626999855,
-0.027775267139077187,
-0.05374190956354141,
0.04477262124419212,
-0.03484365716576576,
0.02299533784389496,
0.039974238723516464,
0.05521833896636963,
-0.0215558223426342,
0.014072186313569546,
0.009296870790421963,
-0.04949718713760376,
0.0030220597982406616,
-0.0040924688801169395,
0.004521554801613092,
0.003372710896655917,
-0.006487047299742699,
-0.0032296821009367704,
0.039900414645671844,
0.03440072759985924,
-0.017467966303229332,
0.029454700648784637,
-0.0004535973130259663,
0.0052459267899394035,
0.03908838331699371,
0.014284422621130943,
0.024988511577248573,
0.006551641039550304,
0.016858940944075584,
0.029233237728476524,
0.0140906423330307,
0.004503099713474512,
0.03358869627118111,
-0.048057671636343,
0.02489623613655567,
-0.012660354375839233,
0.015041091479361057,
-0.020762242376804352,
-0.015059546567499638,
0.019544191658496857,
-0.009241504594683647,
0.041672129184007645,
0.00995664857327938,
0.0559934601187706,
-0.016932761296629906,
-0.07869350910186768,
0.056657854467630386,
-0.0152348717674613,
0.048316046595573425,
-0.02812591753900051,
0.031207958236336708,
-0.013158648274838924,
0.031780071556568146,
-0.028273560106754303,
-0.023770460858941078,
-0.032518286257982254,
-0.033238042145967484,
-0.03458528220653534,
-0.007811217103153467,
0.07304618507623672,
-0.018436871469020844,
-0.023567453026771545,
0.03967895358800888,
-0.013352428562939167,
0.01647137850522995,
-0.019193539395928383,
-0.0006378622492775321,
0.0020773776341229677,
0.01972874440252781,
0.017661748453974724,
0.011829864233732224,
-0.01899053156375885,
0.05857720598578453,
-0.035877153277397156,
-0.022736962884664536,
0.0075528426095843315,
-0.02236785553395748,
-0.01029807236045599,
0.0008702839841134846,
-0.01449665892869234,
0.004378526471555233,
0.0020808379631489515,
-0.020965250208973885,
0.007202191278338432,
-0.08238457888364792,
0.0072898538783192635,
0.023585908114910126,
0.002842120360583067,
0.010261161252856255,
0.023604363203048706,
0.01361080352216959,
0.020466957241296768,
0.0304697435349226,
-0.027000142261385918,
-0.04108155891299248,
0.005310520064085722,
-0.03283202648162842,
0.004163983277976513,
-0.026557214558124542,
-0.01190368551760912,
-0.01152535155415535,
0.013020233251154423,
0.0205776896327734,
0.05292987823486328,
-0.027535347267985344,
0.02792290970683098,
-0.019562646746635437,
-0.03384706750512123,
-0.022054115310311317,
0.021924927830696106,
-0.0032573651988059282,
-0.013823039829730988,
0.011617627926170826,
-0.017606381326913834,
0.013158648274838924,
0.015456335619091988,
-0.03458528220653534,
0.0048629785887897015,
-0.01967337727546692,
0.008129571564495564,
0.008775508031249046,
-0.017652519047260284,
-0.031798526644706726,
0.00860018189996481,
-0.004687652923166752,
-0.025099243968725204,
0.025006968528032303,
0.012521939352154732,
0.010362666100263596,
-0.015530157834291458,
-0.019618012011051178,
-0.01910126395523548,
-0.027682989835739136,
0.0041593690402805805,
-0.03449300676584244,
-0.02567135915160179,
-0.03571105748414993,
0.030026815831661224,
-0.014293650165200233,
-0.029214782640337944,
0.017477193847298622,
0.06584860384464264,
-0.009149228222668171,
-0.01897207647562027,
0.0022861536126583815,
-0.03942057862877846,
-0.005688854493200779,
0.009670590981841087,
0.03908838331699371,
0.002717546885833144,
0.003538808785378933,
-0.0011419233633205295,
-0.006560868583619595,
0.004034795798361301,
0.027553802356123924,
-0.02133435755968094,
-0.014413610100746155,
0.00787119660526514,
0.019470369443297386,
-0.010141202248632908,
-0.03386552259325981,
0.009149228222668171,
-0.0024637861642986536,
-0.0028121303766965866,
-0.015133367851376534,
-0.019451914355158806,
0.008014225400984287,
0.014016821049153805,
-0.033238042145967484,
0.02463786117732525,
-0.0005447205039672554,
0.025929734110832214,
0.008729369379580021,
-0.01732955127954483,
0.0015329455491155386,
-0.006339404731988907,
0.0028536547906696796,
0.01910126395523548,
-0.03545268252491951,
-0.00394482584670186,
-0.025339163839817047,
0.01569625549018383,
-0.00718834949657321,
0.01733877882361412,
-0.03440072759985924,
0.048131491988897324,
0.001590618514455855,
-0.03225991129875183,
0.05532906949520111,
-0.01965492218732834,
0.019138174131512642,
-0.0014106790767982602
] |
Diffusion models have shown promising results in speech enhancement, using a
task-adapted diffusion process for the conditional generation of clean speech
given a noisy mixture. However, at test time, the neural network used for score
estimation is called multiple times to solve the iterative reverse process.
This results in a slow inference process and causes discretization errors that
accumulate over the sampling trajectory. In this paper, we address these
limitations through a two-stage training approach. In the first stage, we train
the diffusion model the usual way using the generative denoising score matching
loss. In the second stage, we compute the enhanced signal by solving the
reverse process and compare the resulting estimate to the clean speech target
using a predictive loss. We show that using this second training stage enables
achieving the same performance as the baseline model using only 5 function
evaluations instead of 60 function evaluations. While the performance of usual
generative diffusion algorithms drops dramatically when lowering the number of
function evaluations (NFEs) to obtain single-step diffusion, we show that our
proposed method keeps a steady performance and therefore largely outperforms
the diffusion baseline in this setting and also generalizes better than its
predictive counterpart. | [
-0.009839593432843685,
0.023842444643378258,
-0.03369120880961418,
-0.011004205793142319,
-0.005878079682588577,
-0.019697528332471848,
-0.024796143174171448,
0.07937700301408768,
-0.06320081651210785,
0.008321930654346943,
-0.00375518505461514,
-0.02747383341193199,
-0.006066068075597286,
0.010022996924817562,
0.04049547761678696,
0.014791485853493214,
0.04724472016096115,
-0.0005333027802407742,
0.06617195159196854,
-0.017450835555791855,
-0.016148671507835388,
-0.036130473017692566,
-0.061073340475559235,
0.01437882799655199,
-0.015424228273332119,
0.008551185019314289,
-0.00009549873357173055,
-0.002227205317467451,
-0.06859288364648819,
0.06239384412765503,
0.02637341246008873,
0.031673770397901535,
-0.04280635714530945,
-0.05395728722214699,
-0.04005530849099159,
0.007900102064013481,
0.056524936109781265,
0.016066139563918114,
-0.0050986153073608875,
0.018432043492794037,
-0.019880931824445724,
0.004557575099170208,
-0.009500297717750072,
-0.004206816200166941,
0.013278407976031303,
-0.023567339405417442,
0.0019692941568791866,
0.040202029049396515,
0.0004476189787965268,
0.0005321564967744052,
0.00021793485211674124,
-0.02861093357205391,
-0.003500712802633643,
-0.015323355793952942,
-0.007326966617256403,
0.03488333150744438,
0.01486484706401825,
0.0317838117480278,
0.04614430293440819,
0.0029413322918117046,
0.03673570603132248,
0.014663103967905045,
-0.03251742571592331,
-0.008266909047961235,
-0.0012631911085918546,
-0.07798313349485397,
0.019147317856550217,
0.009018863551318645,
0.0012758000520989299,
0.004887701012194157,
-0.0938291922211647,
-0.03106853924691677,
-0.03139866515994072,
0.04900539293885231,
-0.02351231873035431,
-0.02534635365009308,
0.002359026577323675,
0.0006969330133870244,
0.011737818829715252,
-0.014800656586885452,
0.03814791142940521,
0.01944076269865036,
-0.04097232595086098,
-0.015809375792741776,
0.055901363492012024,
-0.04995909333229065,
-0.0152133135125041,
-0.03284755349159241,
0.057331908494234085,
-0.050069134682416916,
-0.05234333872795105,
-0.038771484047174454,
0.003803328378126025,
-0.024741122499108315,
-0.08385204523801804,
0.018945572897791862,
-0.022173473611474037,
0.01060071773827076,
-0.06122006103396416,
-0.02494286559522152,
-0.013865298591554165,
-0.04009198769927025,
0.0258232019841671,
0.025364693254232407,
0.04702463746070862,
0.00657501257956028,
0.014965719543397427,
-0.003081177594140172,
0.05865241587162018,
0.13425131142139435,
0.02835416980087757,
0.006387024186551571,
0.0011290772818028927,
0.013195876032114029,
0.01653381809592247,
0.0006212791195139289,
-0.04607094079256058,
-0.041229087859392166,
0.043063122779130936,
-0.03328772261738777,
0.03468158841133118,
0.08715330809354782,
-0.0126640060916543,
0.07420502603054047,
-0.01744166575372219,
0.0635676234960556,
0.01644211634993553,
-0.0009473933023400605,
-0.021256456151604652,
-0.007771720178425312,
-0.004988573025912046,
-0.027217067778110504,
-0.023640701547265053,
0.0034067186061292887,
0.0037483074702322483,
0.003603877266868949,
0.00014700931205879897,
-0.0037093341816216707,
-0.05149967968463898,
-0.01247143279761076,
0.01977088861167431,
0.02901442162692547,
0.006698810029774904,
-0.022210154682397842,
0.019587485119700432,
0.0253280121833086,
-0.018569596111774445,
0.029179485514760017,
-0.023879125714302063,
0.01775345206260681,
-0.08245817571878433,
-0.005304944235831499,
0.0024782386608421803,
0.04181598126888275,
0.023145511746406555,
-0.009142660535871983,
-0.003399841021746397,
-0.002517211949452758,
-0.0015371498884633183,
-0.107401043176651,
0.045447368174791336,
-0.004433777648955584,
-0.010169719345867634,
0.013434301130473614,
0.017661750316619873,
0.03673570603132248,
0.042109426110982895,
-0.012141306884586811,
-0.03435146063566208,
0.025144608691334724,
-0.019862590357661247,
0.03152704983949661,
-0.006217375863343477,
-0.011462713591754436,
-0.010334783233702183,
0.05138963833451271,
0.016121160238981247,
-0.0031430760864168406,
-0.06037640571594238,
0.010197230614721775,
-0.06811603158712387,
0.0019681479316204786,
-0.005272848531603813,
-0.0014351317659020424,
0.060596492141485214,
0.014360488392412663,
0.05157304182648659,
-0.01306749414652586,
0.023567339405417442,
-0.01677224226295948,
-0.009582828730344772,
0.03299427404999733,
0.03451652452349663,
-0.00917017087340355,
0.022210154682397842,
-0.06745577603578568,
-0.034938350319862366,
0.038441356271505356,
0.031178582459688187,
-0.011618606746196747,
-0.03899156674742699,
-0.002728126011788845,
0.01083914190530777,
-0.022833725437521935,
-0.03304929658770561,
0.016735563054680824,
0.004422314930707216,
0.04790497571229935,
0.004832680337131023,
-0.07930363714694977,
0.04232950881123543,
-0.012847409583628178,
-0.033672869205474854,
-0.04302644357085228,
0.010151379741728306,
-0.023090491071343422,
0.02573150023818016,
-0.016973987221717834,
0.003704749047756195,
-0.017093198373913765,
-0.005983536597341299,
0.0417792983353138,
0.051352959126234055,
-0.010976694524288177,
-0.05494766682386398,
-0.016524648293852806,
-0.014461359940469265,
0.014314637519419193,
0.0015669530257582664,
-0.02620834857225418,
0.010188059881329536,
0.004108236636966467,
0.05560791864991188,
-0.04852854460477829,
-0.008037654682993889,
-0.0220817718654871,
-0.0003519053279887885,
-0.030224883928894997,
0.03337942436337471,
0.02606162615120411,
-0.03288423269987106,
0.0021068467758595943,
-0.026575155556201935,
-0.0015039080753922462,
0.009445276111364365,
0.013241726905107498,
0.031031860038638115,
0.05116955563426018,
-0.01684560440480709,
0.03433312103152275,
-0.0126640060916543,
-0.0468779131770134,
-0.07075703889131546,
-0.0017457713838666677,
-0.056524936109781265,
0.06939985603094101,
0.024594398215413094,
-0.026556815952062607,
0.03561694547533989,
-0.1060805395245552,
0.049042075872421265,
0.00643287505954504,
0.03833131492137909,
0.0618436336517334,
-0.00937649980187416,
0.0020346317905932665,
0.04199938476085663,
0.009105980396270752,
0.03425975888967514,
0.011205948889255524,
-0.051756445318460464,
0.018468724563717842,
-0.00765250762924552,
-0.026355070993304253,
0.0021423811558634043,
-0.057331908494234085,
0.016075309365987778,
-0.013076663948595524,
0.029381228610873222,
0.008794194087386131,
0.026483453810214996,
0.026006605476140976,
-0.010334783233702183,
-0.02796902135014534,
-0.04335656762123108,
-0.03328772261738777,
-0.016763072460889816,
-0.0033241871278733015,
-0.035323500633239746,
-0.01374608650803566,
0.003301261691376567,
-0.0506560243666172,
-0.04640106484293938,
0.013957000337541103,
0.04786829277873039,
0.018707148730754852,
-0.04563077166676521,
-0.043539971113204956,
0.01403036154806614,
-0.010747440159320831,
-0.02406252920627594,
0.06224712356925011,
0.04929884150624275,
0.0036245102528482676,
0.0113893523812294,
-0.027033664286136627,
0.006387024186551571,
0.0731046050786972,
-0.022008411586284637,
-0.018019385635852814,
0.01270985696464777,
-0.003434229176491499,
0.002448435639962554,
-0.01291160099208355,
0.02901442162692547,
0.010133039206266403,
0.004745563492178917,
-0.056781698018312454,
0.013278407976031303,
0.017597557976841927,
-0.048565227538347244,
-0.011847861111164093,
-0.08744674921035767,
0.00786342192441225,
0.010857482440769672,
0.008464068174362183,
-0.002535552252084017,
0.036699023097753525,
-0.008633716031908989,
0.05560791864991188,
-0.007822155952453613,
-0.07112384587526321,
-0.035818688571453094,
-0.021568242460489273,
-0.010637398809194565,
0.006620863452553749,
0.005080274771898985,
0.02565813809633255,
0.01390197966247797,
-0.04269631579518318,
0.026116646826267242,
-0.02430095337331295,
-0.0027877320535480976,
0.003349405014887452,
-0.04643774777650833,
-0.024080868810415268,
-0.029931439086794853,
0.005392060615122318,
-0.016763072460889816,
-0.032627470791339874,
0.0009622948127798736,
0.0024346804711967707,
0.0027350035961717367,
0.04702463746070862,
0.027345450595021248,
-0.03328772261738777,
-0.044420309364795685,
0.028537573292851448,
-0.03570864722132683,
0.005910175386816263,
0.0227787047624588,
-0.029197825118899345,
-0.038111232221126556,
0.010142209008336067,
-0.0835585966706276,
0.0009221753571182489,
-0.03961513936519623,
-0.032627470791339874,
0.003704749047756195,
0.017762621864676476,
0.05623149126768112,
0.07134392857551575,
0.015506759285926819,
0.03921165317296982,
-0.0283725094050169,
0.042256150394678116,
0.020211057737469673,
-0.004397097043693066,
-0.0028427529614418745,
0.032535769045352936,
-0.027143707498908043,
0.03983522206544876,
-0.005543368402868509,
0.04086228087544441,
-0.00191312690731138,
0.015781864523887634,
0.00008539721602573991,
0.04651110991835594,
-0.02103637345135212,
0.005713016726076603,
0.026960304006934166,
-0.0638977512717247,
-0.028482550755143166,
-0.017093198373913765,
0.07464519143104553,
0.0038491792511194944,
0.005749697331339121,
-0.036295536905527115,
0.03339776396751404,
-0.0064420453272759914,
-0.02963799238204956,
0.01977088861167431,
-0.007455348968505859,
0.009133490733802319,
-0.016066139563918114,
0.00781298615038395,
-0.011132587678730488,
-0.033654529601335526,
-0.013177535496652126,
-0.020742926746606827,
0.01031644269824028,
-0.005048179067671299,
-0.019459102302789688,
0.007464519236236811,
0.0184412132948637,
0.017239922657608986,
-0.04376005753874779,
-0.007304041180759668,
-0.0043168580159544945,
0.012608985416591167,
-0.01936740055680275,
0.0036772387102246284,
0.08979431539773941,
-0.03471826761960983,
0.032792530953884125,
0.02437431551516056,
0.04852854460477829,
0.006006462033838034,
0.024686099961400032,
-0.024557719007134438,
0.02708868496119976,
-0.020779607817530632,
0.006020217202603817,
-0.07996389269828796,
-0.05656161531805992,
-0.023127172142267227,
-0.00697391526773572,
0.03759770095348358,
-0.05839565023779869,
0.007794645614922047,
0.03242572396993637,
-0.028629275038838387,
0.04739144444465637,
0.008175207301974297,
-0.02065122500061989,
-0.04867526888847351,
-0.001757234102115035,
0.014516380615532398,
0.001158307190053165,
-0.019569145515561104,
-0.04812505841255188,
0.054544176906347275,
-0.036845747381448746,
-0.009931295178830624,
0.04324652627110481,
-0.012599815614521503,
-0.048161737620830536,
-0.05949607118964195,
0.03792782872915268,
-0.029656333848834038,
-0.01533252652734518,
0.003418181324377656,
0.021714964881539345,
-0.036937449127435684,
0.006125674117356539,
0.003200389677658677,
-0.04973900690674782,
-0.0005143893067725003,
-0.01414040382951498,
0.054764263331890106,
0.0100321676582098,
-0.028317488729953766,
-0.031600408256053925,
0.032150618731975555,
0.0438334196805954,
0.047611527144908905,
-0.04431026801466942,
-0.09786406904459,
0.028005702421069145,
0.01801021583378315,
-0.018266981467604637,
-0.033911291509866714,
0.03180215507745743,
-0.03662566468119621,
-0.04599757865071297,
0.009445276111364365,
0.06650207936763763,
0.01936740055680275,
0.030976837500929832,
-0.012086285278201103,
-0.026391752064228058,
-0.01473646517843008,
-0.002879433799535036,
0.028739316388964653,
-0.00039775617187842727,
-0.06840948015451431,
-0.003149953903630376,
-0.061696913093328476,
0.07438842952251434,
0.02813408523797989,
0.03829463571310043,
-0.09470953047275543,
0.04243955388665199,
0.006937234662473202,
-0.02861093357205391,
0.0018386193551123142,
-0.00701518077403307,
0.013975340873003006,
0.008234813809394836,
0.0465477891266346,
0.027602214366197586,
0.041705939918756485,
0.030793434008955956,
-0.026575155556201935,
-0.007116052787750959,
0.03356282785534859,
-0.041705939918756485,
0.012764878571033478,
0.005217827390879393,
0.020687906071543694,
0.024099210277199745,
-0.004745563492178917,
-0.02415423095226288,
0.0503259003162384,
-0.06565842777490616,
0.0628340095281601,
0.046804554760456085,
-0.02287040650844574,
0.03090347722172737,
-0.006267812103033066,
-0.015974437817931175,
0.04174261912703514,
-0.04181598126888275,
-0.052233293652534485,
0.004892286378890276,
0.02789566107094288,
-0.0156259723007679,
-0.01753336749970913,
-0.018945572897791862,
0.029619652777910233,
0.001876446302048862,
-0.004142624791711569,
-0.03950509801506996,
0.030316585674881935,
0.016093650832772255,
-0.011572755873203278,
-0.0039798542857170105,
-0.03468158841133118,
-0.00653374707326293,
0.035745326429605484,
-0.006905138958245516,
0.008725417777895927,
0.014488870278000832,
0.003950051032006741,
-0.07240767031908035,
-0.017762621864676476,
-0.0417792983353138,
-0.0008648617658764124,
-0.015066591091454029,
0.004218278918415308,
0.0053553800098598,
0.007785475347191095,
0.024557719007134438,
-0.006419119890779257,
0.0031774642411619425,
-0.004773074295371771,
0.032627470791339874,
0.010298102162778378,
-0.011499394662678242,
0.021953389048576355,
-0.040458794683218,
0.007542465813457966,
-0.04005530849099159,
-0.04607094079256058,
0.014479700475931168,
-0.010591547936201096,
0.03372788801789284,
-0.023292234167456627,
0.030976837500929832,
0.016515478491783142,
0.0027510514482855797,
-0.04243955388665199,
-0.01044482458382845,
0.026391752064228058,
-0.008583280257880688,
-0.03356282785534859,
-0.022191815078258514,
-0.05109619349241257,
0.0034250589087605476,
-0.0183403417468071,
0.013434301130473614,
0.02884935773909092,
0.044897157698869705,
-0.010866653174161911,
-0.022026751190423965,
-0.01920233853161335,
0.017707601189613342,
-0.000276394683169201,
0.024667760357260704,
-0.04684123396873474,
-0.01218715775758028,
0.03339776396751404,
0.005272848531603813,
-0.017872663214802742,
-0.03699247166514397,
-0.02756553515791893,
0.004190768115222454,
0.02030275948345661,
-0.03218730166554451,
0.01681809313595295,
0.012370561249554157,
-0.02110973373055458,
0.04409018158912659,
-0.02565813809633255,
0.02508958801627159,
0.010233910754323006,
0.001792768482118845,
-0.0038789825048297644,
-0.0018890552455559373,
0.008807949721813202,
0.028794337064027786,
-0.01769842952489853,
0.006648374255746603,
0.0014855677727609873,
0.0012700686929747462,
0.026226690039038658,
-0.012884090654551983,
-0.07042691111564636,
-0.02279704622924328,
-0.007629582192748785,
-0.0441635437309742,
0.018569596111774445,
-0.008922576904296875,
-0.0013789645163342357,
0.000501780305057764,
0.01686394400894642,
0.04104568436741829,
0.0195324644446373,
0.01000465638935566,
0.01975254900753498,
-0.06708896905183792,
0.03702915087342262,
0.0031086879316717386,
0.007537880912423134,
-0.003168294206261635,
-0.001524540944956243,
-0.02963799238204956,
0.01039897371083498,
0.0666121244430542,
0.06360431015491486,
-0.017570048570632935,
0.04805169627070427,
0.04933552071452141,
0.057808760553598404,
0.0007284554885700345,
-0.02461273968219757,
0.0321139395236969,
0.025272991508245468,
0.025768181309103966,
0.002375074429437518,
0.05109619349241257,
-0.0014351317659020424,
0.02263198234140873,
0.026171669363975525,
0.009610339067876339,
-0.004392512142658234,
0.01960582658648491,
-0.011939562857151031,
-0.02413589134812355,
0.03284755349159241,
0.0005639655282720923,
-0.02740047127008438,
-0.002615791279822588,
0.04130245000123978,
0.06613527238368988,
-0.051206234842538834,
0.004346661269664764,
0.025603117421269417,
-0.02118309587240219,
-0.02294376865029335,
-0.04287971928715706,
-0.02382410503923893,
-0.023548999801278114,
0.012874919921159744,
-0.0038904452230781317,
-0.008798778988420963,
0.021806666627526283,
-0.00789551716297865,
-0.016836434602737427,
0.02030275948345661,
0.004296225029975176,
-0.019789230078458786,
0.002512626815587282,
0.0028863113839179277,
0.01414040382951498,
-0.009390255436301231,
-0.03869812190532684,
0.043466612696647644,
0.011315991170704365,
0.02749217301607132,
0.00926645752042532,
0.004032582975924015,
0.002359026577323675,
-0.027528854086995125,
0.03833131492137909,
0.019257359206676483,
-0.011315991170704365,
-0.0018214252777397633,
-0.033654529601335526,
-0.03539685904979706,
-0.006501651369035244,
-0.004983988124877214,
-0.03380125015974045,
-0.0060706534422934055,
0.0351584367454052,
0.013489321805536747,
-0.021898368373513222,
-0.024025848135352135,
-0.02763889543712139,
0.02525465190410614,
0.0026043285615742207,
0.025291331112384796,
0.0019245896255597472,
-0.06815271079540253,
0.011499394662678242,
0.02692362293601036,
0.016781413927674294,
-0.014874017797410488,
0.00667588459327817,
0.006753831170499325,
0.06133010610938072,
-0.028739316388964653,
0.008734587579965591,
-0.009335233829915524,
-0.017074858769774437,
-0.0008287542150355875,
-0.008963841944932938,
0.06261392682790756,
0.03750599920749664,
-0.04852854460477829,
-0.00012379730469547212,
-0.027547193691134453,
0.004078433848917484,
0.02901442162692547,
-0.03679072484374046,
0.01791851408779621,
0.02574983984231949,
0.07299456000328064,
-0.025878222659230232,
-0.021696625277400017,
0.03392963483929634,
-0.027932342141866684,
0.017625069245696068,
-0.028977740556001663,
-0.02103637345135212,
0.032719168812036514,
-0.011297650635242462,
-0.05028921738266945,
-0.003120150649920106,
-0.019550804048776627,
0.00751037010923028,
0.00041122487164102495,
0.04988573119044304,
-0.046731192618608475,
-0.003798743477091193,
-0.016240373253822327,
-0.04929884150624275,
0.017285773530602455,
-0.005845983978360891,
-0.008652056567370892,
0.05300359055399895,
0.016836434602737427,
0.0407889224588871,
-0.07842330634593964,
0.027198728173971176,
0.028739316388964653,
0.038111232221126556,
-0.002668519737198949,
-0.006698810029774904,
0.0032943838741630316,
-0.005277433432638645,
0.05432409420609474,
0.011178438551723957,
0.023218873888254166,
0.02892271988093853,
0.019385742023587227,
0.003966099116951227,
0.025236310437321663,
-0.0029550876934081316,
-0.024429336190223694,
-0.009472786448895931,
-0.011820350773632526,
0.011004205793142319,
-0.0006149745895527303,
0.022246835753321648,
0.03066505305469036,
0.04159589484333992,
0.0543607734143734,
-0.011471884325146675,
-0.047684889286756516,
0.004190768115222454,
-0.010875822976231575,
-0.010050507262349129,
-0.007129807956516743,
-0.002668519737198949,
-0.034131377935409546,
-0.02096301130950451,
-0.035671964287757874,
0.007831325754523277,
0.020816288888454437,
0.031600408256053925,
0.020926330238580704,
0.013388450257480145,
0.006616278551518917,
0.019880931824445724,
0.021935049444437027,
0.0018867626786231995,
-0.013324258849024773,
-0.048491865396499634,
-0.051352959126234055,
0.022265175357460976,
-0.0007588316802866757,
-0.030701732262969017,
0.0004960489459335804,
-0.05450749769806862,
-0.019972633570432663,
0.0008803364471532404,
-0.0312519446015358,
0.04093564301729202,
0.029913097620010376,
0.009546148590743542,
0.028555912896990776,
-0.013727745972573757,
0.04166925698518753,
-0.03233402222394943,
0.04431026801466942,
-0.014809826388955116,
0.03512175381183624,
0.00506193470209837,
0.015736013650894165,
-0.003851471934467554,
0.00770752876996994,
0.004199938382953405,
-0.025217970833182335,
0.009165585972368717,
-0.024502696469426155,
-0.008931746706366539,
-0.0009600023040547967,
-0.013360938988626003,
-0.02373240329325199,
0.03068339265882969,
0.035341840237379074,
0.05579132214188576,
-0.01872549019753933,
-0.029674673452973366,
-0.0023211995139718056,
0.018358683213591576,
0.007950538769364357,
-0.009821252897381783,
-0.02813408523797989,
0.0625772476196289,
0.01561680156737566,
-0.01462642289698124,
-0.00559838954359293,
0.0016219740500673652,
0.008629131130874157,
0.0023349549155682325,
-0.07519540190696716,
-0.0001299585128435865,
-0.06705228984355927,
-0.03528681769967079,
-0.008702492341399193,
-0.040422115474939346,
0.025456395000219345,
0.028390849009156227,
0.008812534622848034,
-0.0020690199453383684,
-0.03961513936519623,
0.029527951031923294,
-0.06914309412240982,
-0.00294821010902524,
0.014002851210534573,
0.004030290059745312,
-0.03237070515751839,
0.06415452063083649,
0.009018863551318645,
-0.019899271428585052,
-0.03719421476125717,
0.0169831570237875,
-0.05634153261780739,
0.0026455943007022142,
0.048968713730573654,
-0.031013518571853638,
0.018147768452763557,
0.007624997291713953,
0.0001169196839327924,
-0.022338537499308586,
-0.016570499166846275,
0.03418639674782753,
-0.02963799238204956,
0.007437008898705244,
-0.018542086705565453,
0.025951584801077843,
0.007207754533737898,
0.004864775575697422,
-0.020211057737469673,
-0.011655287817120552,
-0.023787423968315125,
0.01636875607073307,
-0.028097404167056084,
-0.019935952499508858,
-0.0009193096775561571,
0.03866144269704819,
0.006836362648755312,
0.010509015992283821,
0.04214610531926155,
0.01075661089271307,
0.01605696976184845,
0.02303547039628029,
-0.02318219281733036,
0.01936740055680275,
0.02437431551516056,
0.012122966349124908,
0.05975283682346344,
-0.017313282936811447,
-0.0163870956748724,
0.028225786983966827,
0.034149717539548874,
0.025914903730154037,
0.036919109523296356,
0.019239019602537155,
0.026575155556201935,
0.049592286348342896,
0.0021538438741117716,
0.04207274690270424,
-0.007450764067471027,
0.013333428651094437,
-0.008707077242434025,
-0.025272991508245468,
-0.014351317659020424,
-0.010426484979689121,
0.000401768134906888,
-0.013727745972573757,
-0.005832228809595108,
0.04970232769846916,
-0.08150447905063629,
0.0037070417311042547,
0.03508507460355759,
-0.030775094404816628,
0.046180982142686844,
-0.02310883067548275,
0.003285213839262724,
0.0037253820337355137,
-0.036845747381448746,
-0.013626874424517155,
0.030133182182908058,
-0.0070793721824884415,
0.011371011845767498,
0.01679975353181362,
0.02780395932495594,
0.013957000337541103,
-0.01929404027760029,
-0.024190912023186684,
-0.0018913478124886751,
0.05626817047595978,
0.035965412855148315,
-0.05392060801386833,
-0.012654836289584637,
-0.06041308864951134,
-0.0033104317262768745,
-0.005194901954382658,
-0.02525465190410614,
-0.012654836289584637,
0.005245337728410959,
0.03288423269987106,
-0.023970827460289,
0.028702635318040848,
-0.02239355817437172,
-0.037487659603357315,
0.005864324513822794,
0.029289526864886284,
-0.016377925872802734,
0.0312519446015358,
-0.022907087579369545,
0.019165657460689545,
-0.038514718413352966,
-0.0012700686929747462,
-0.013608533889055252,
-0.0452272854745388,
0.037487659603357315,
0.011490224860608578,
-0.0018134013516828418,
0.03976186364889145,
0.004436070099473,
-0.03204057738184929,
0.036295536905527115,
0.00018368999008089304,
-0.0232738945633173,
0.01791851408779621,
0.053186994045972824,
-0.019807569682598114,
-0.017900174483656883,
-0.012132136151194572,
0.035671964287757874,
-0.012297199107706547,
0.04834514111280441,
0.018074408173561096,
-0.03990858420729637,
-0.07281115651130676,
0.021953389048576355,
0.006391609087586403,
0.002913821954280138,
-0.004580500535666943,
0.010664909146726131,
-0.03504839539527893,
-0.0051077851094305515,
-0.06452132761478424,
-0.0278773196041584,
-0.00904178898781538,
-0.013691065832972527,
0.011178438551723957,
-0.022338537499308586,
-0.01584605500102043,
-0.0019417837029322982
] |
The rapidly evolving nature of Android apps poses a significant challenge to
static batch machine learning algorithms employed in malware detection systems,
as they quickly become obsolete. Despite this challenge, the existing
literature pays limited attention to addressing this issue, with many advanced
Android malware detection approaches, such as Drebin, DroidDet and MaMaDroid,
relying on static models. In this work, we show how retraining techniques are
able to maintain detector capabilities over time. Particularly, we analyze the
effect of two aspects in the efficiency and performance of the detectors: 1)
the frequency with which the models are retrained, and 2) the data used for
retraining. In the first experiment, we compare periodic retraining with a more
advanced concept drift detection method that triggers retraining only when
necessary. In the second experiment, we analyze sampling methods to reduce the
amount of data used to retrain models. Specifically, we compare fixed sized
windows of recent data and state-of-the-art active learning methods that select
those apps that help keep the training dataset small but diverse. Our
experiments show that concept drift detection and sample selection mechanisms
result in very efficient retraining strategies which can be successfully used
to maintain the performance of the static Android malware state-of-the-art
detectors in changing environments. | [
-0.04941659793257713,
-0.009244080632925034,
-0.025990603491663933,
-0.03550262749195099,
0.0478089302778244,
0.047196485102176666,
-0.061167869716882706,
0.02179918810725212,
-0.003801460610702634,
0.03569401800632477,
0.04562709853053093,
-0.008512018248438835,
0.013684301637113094,
-0.02870832569897175,
-0.01114839967340231,
-0.0006698609213344753,
0.014957037754356861,
-0.02677529864013195,
0.02955043502151966,
-0.05668937414884567,
0.02122502215206623,
-0.044899821281433105,
-0.030679630115628242,
0.022813549265265465,
0.03670837730169296,
0.03100499138236046,
-0.014622107148170471,
-0.03833518177270889,
-0.01942596584558487,
0.052670206874608994,
-0.014564690180122852,
0.03703374043107033,
-0.04007682204246521,
-0.04084237664937973,
-0.06970380991697311,
0.005956977605819702,
0.04294765368103981,
0.031808823347091675,
-0.007272775750607252,
-0.001960539259016514,
0.03961749002337456,
-0.03531124070286751,
-0.05519653856754303,
-0.006153150927275419,
-0.00927757378667593,
-0.0076555535197257996,
-0.04842137545347214,
-0.03866054490208626,
-0.03867968171834946,
-0.022239383310079575,
-0.00458854716271162,
-0.02086138352751732,
0.014124495908617973,
-0.049225207418203354,
-0.007306268904358149,
0.03355046361684799,
0.022124549373984337,
0.020019272342324257,
-0.00990437250584364,
-0.014717801474034786,
0.0003193801094312221,
0.031693991273641586,
0.02141641080379486,
-0.0025598255451768637,
0.008622067049145699,
-0.034105490893125534,
0.002521547954529524,
-0.03368443623185158,
-0.025512130931019783,
0.038698822259902954,
-0.04340698570013046,
0.012067065574228764,
-0.04742615297436714,
0.006368463393300772,
-0.012268024496734142,
-0.018210647627711296,
0.045282598584890366,
0.011655580252408981,
-0.043368708342313766,
0.012076634913682938,
-0.015244120731949806,
0.05328265205025673,
-0.07146459072828293,
-0.01066992711275816,
0.01693791151046753,
-0.059828151017427444,
-0.005650755483657122,
-0.0688999816775322,
0.016870925202965736,
-0.06763681024312973,
-0.06101476028561592,
0.01790442503988743,
0.0401916541159153,
-0.013904398307204247,
-0.01723456382751465,
0.07345503568649292,
-0.09454608708620071,
-0.030871018767356873,
-0.06679470092058182,
-0.019301563501358032,
-0.01798098161816597,
-0.054086484014987946,
0.02333029918372631,
-0.01453598216176033,
-0.005885206628590822,
-0.03586626797914505,
-0.0746033638715744,
-0.015052732080221176,
-0.014000093564391136,
0.14300574362277985,
-0.02909110300242901,
-0.039234708994627,
-0.03931126743555069,
0.027292046695947647,
-0.042220376431941986,
0.02227766066789627,
-0.013837412931025028,
-0.1214170753955841,
-0.003942609764635563,
-0.017808731645345688,
0.01711016148328781,
0.07590480893850327,
0.004990463610738516,
0.0196173544973135,
-0.02842124179005623,
0.03205762803554535,
0.07892875373363495,
0.02342599257826805,
0.013014440424740314,
-0.02179918810725212,
0.00013367313658818603,
0.007224928587675095,
0.018191508948802948,
-0.009497670456767082,
0.05416303873062134,
0.07674692571163177,
0.07467992603778839,
0.05221087485551834,
0.004143568221479654,
0.052478816360235214,
0.038316044956445694,
-0.02084224484860897,
-0.00751201156526804,
0.0010801507160067558,
-0.0031172456219792366,
-0.003624425968155265,
0.012019218876957893,
0.05883292853832245,
-0.00039743087836541235,
0.029205935075879097,
-0.028727464377880096,
-0.005200991407036781,
0.01372257899492979,
0.029110241681337357,
0.017913995310664177,
-0.008909150026738644,
-0.02648821473121643,
-0.053512316197156906,
-0.07567514479160309,
-0.020727410912513733,
0.05060320720076561,
0.0009168721153400838,
0.05703387409448624,
0.03412462770938873,
0.003011981723830104,
-0.06189514696598053,
0.053703706711530685,
-0.008248859085142612,
-0.05148359760642052,
0.04612470790743828,
-0.017339827492833138,
-0.013024009764194489,
-0.020631715655326843,
0.042028989642858505,
0.009148386307060719,
0.05117737501859665,
0.024650881066918373,
0.005090943071991205,
-0.027196353301405907,
-0.006933060474693775,
0.005038311239331961,
0.0468902625143528,
0.012296732515096664,
-0.013607745990157127,
0.0315982960164547,
0.03778015449643135,
0.055426206439733505,
-0.023024076595902443,
-0.01672738417983055,
0.021875742822885513,
0.007258421275764704,
0.022354215383529663,
-0.005397165194153786,
0.007157942280173302,
0.06629709154367447,
-0.0037488287780433893,
-0.06997175514698029,
0.03002890758216381,
-0.034966740757226944,
-0.02658390812575817,
-0.04830653965473175,
-0.05022042989730835,
-0.0411485992372036,
-0.005464151035994291,
0.020306354388594627,
-0.05136876180768013,
0.023674799129366875,
0.029569575563073158,
0.028861435130238533,
-0.08681397140026093,
0.004370842594653368,
-0.059445369988679886,
-0.06426837295293808,
0.026641326025128365,
0.0009503651526756585,
0.010823038406670094,
0.014679523184895515,
0.018995340913534164,
-0.014794357120990753,
0.012124482542276382,
0.027426019310951233,
-0.024421215057373047,
0.01856471598148346,
-0.035426072776317596,
-0.01625848188996315,
-0.025378160178661346,
0.008009622804820538,
-0.008043115958571434,
-0.009473747573792934,
-0.0017177148256450891,
0.030469102784991264,
-0.013311093673110008,
-0.01516756508499384,
-0.04007682204246521,
0.019732188433408737,
-0.01904318854212761,
0.0698186457157135,
-0.001468909322284162,
0.005086158402264118,
-0.001233261777088046,
-0.007220143917948008,
-0.05228742957115173,
-0.033894963562488556,
-0.035540904849767685,
0.07062248140573502,
-0.01487091276794672,
-0.0016758484998717904,
0.06461287289857864,
-0.009488101117312908,
0.06063198298215866,
0.007148372940719128,
-0.06970380991697311,
-0.01569388434290886,
-0.007454595062881708,
-0.046162985265254974,
-0.011693857610225677,
0.03833518177270889,
-0.03043082356452942,
0.01969391107559204,
-0.03311026841402054,
0.03743565455079079,
0.01634460687637329,
-0.051981206983327866,
0.02555041015148163,
-0.004466536920517683,
0.019866161048412323,
0.05492859333753586,
0.06089992821216583,
0.03464137762784958,
0.03242126852273941,
0.00631104689091444,
-0.010363705456256866,
-0.03711029514670372,
-0.03240212798118591,
0.02687099203467369,
-0.03481362760066986,
0.006823011673986912,
-0.008258428424596786,
0.009334990754723549,
0.07475648075342178,
-0.014669953845441341,
-0.00184092135168612,
0.055234815925359726,
-0.033799268305301666,
-0.03479449078440666,
-0.03069876879453659,
-0.02706238068640232,
-0.030622214078903198,
-0.007818234153091908,
0.018669981509447098,
-0.01760777272284031,
-0.03913901746273041,
0.03785671293735504,
0.003641172545030713,
0.04287109896540642,
-0.011186677031219006,
0.012899607419967651,
0.007425886578857899,
-0.029780102893710136,
-0.021569522097706795,
-0.07341675460338593,
-0.02287096530199051,
0.0354069359600544,
0.043674930930137634,
0.036765795201063156,
-0.030009768903255463,
0.042220376431941986,
0.04344526678323746,
-0.04551226273179054,
-0.014354162849485874,
0.012516830116510391,
-0.025110214948654175,
-0.028823157772421837,
-0.009009629487991333,
0.011646010912954807,
0.05416303873062134,
-0.008588573895394802,
-0.0024832701310515404,
0.00017718419258017093,
-0.024650881066918373,
0.027617407962679863,
0.026449937373399734,
-0.07977086305618286,
0.02755999192595482,
0.027713103219866753,
-0.009856524877250195,
0.01205749623477459,
0.01047853846102953,
-0.059139151126146317,
0.0072919144295156,
-0.04229693114757538,
0.03816293179988861,
-0.059828151017427444,
0.019579077139496803,
-0.015952259302139282,
0.02191402204334736,
-0.009913941845297813,
0.014153203926980495,
0.04179932177066803,
0.013808703981339931,
-0.08405797928571701,
-0.009162740781903267,
-0.03661268204450607,
-0.02650735341012478,
-0.009004844352602959,
-0.03575143590569496,
0.005665109492838383,
0.038105517625808716,
-0.035923682153224945,
-0.02019152231514454,
0.0011620890581980348,
-0.06610570102930069,
0.0545458160340786,
0.02744515798985958,
-0.02658390812575817,
-0.005875637289136648,
0.0048636686988174915,
0.01468909252434969,
-0.007397178560495377,
-0.006086165085434914,
-0.021492965519428253,
-0.010555094107985497,
-0.008354122750461102,
-0.046622321009635925,
0.04455532133579254,
-0.0017990550259128213,
-0.009268004447221756,
0.01022973284125328,
0.011349357664585114,
0.08015364408493042,
0.05075632035732269,
-0.003921078518033028,
0.007602921221405268,
0.023292021825909615,
0.020612576976418495,
0.032765768468379974,
0.00970341358333826,
0.01911974512040615,
-0.016382884234189987,
0.0306030735373497,
0.017617342993617058,
0.012229746207594872,
0.00712923426181078,
-0.0015095793642103672,
0.030373407527804375,
0.0088517339900136,
0.013043149374425411,
0.013751287944614887,
0.016880495473742485,
0.06434492766857147,
0.01325367670506239,
-0.041378267109394073,
-0.04800032079219818,
0.04038304463028908,
0.03789499029517174,
-0.00976083055138588,
0.00593305379152298,
0.0035526552237570286,
0.03776101768016815,
-0.0622013695538044,
-0.02581835351884365,
0.03718684986233711,
0.001065796590410173,
-0.03125379607081413,
-0.03031599149107933,
-0.02313891053199768,
0.036306463181972504,
-0.03374185040593147,
0.016421161592006683,
0.009756045415997505,
0.01272735744714737,
0.03485190495848656,
-0.05156015232205391,
0.0660291463136673,
0.029818380251526833,
0.018057536333799362,
-0.01497617643326521,
0.02765568718314171,
-0.02983751893043518,
-0.021971438080072403,
-0.003169877454638481,
0.02411499246954918,
0.03818207234144211,
0.007468949072062969,
0.0018923571333289146,
0.0011901992838829756,
0.04914865270256996,
0.002760784002020955,
-0.006679470185190439,
-0.05347403883934021,
0.02229679934680462,
0.015540773048996925,
0.011894815601408482,
-0.04838309809565544,
-0.02897626906633377,
-0.018000120297074318,
-0.006162720266729593,
0.021014494821429253,
-0.04164620861411095,
-0.043866321444511414,
-0.02334943786263466,
-0.004724911879748106,
0.0325361005961895,
0.012277593836188316,
-0.007019185461103916,
0.0024880548007786274,
0.018899647518992424,
0.03494760021567345,
-0.03942609950900078,
-0.06847892701625824,
-0.03845001757144928,
0.054469261318445206,
-0.031024130061268806,
-0.018306341022253036,
0.10541696846485138,
-0.03221074119210243,
-0.02285182662308216,
-0.048918984830379486,
0.02706238068640232,
-0.017808731645345688,
0.042526599019765854,
0.030182018876075745,
-0.01759820245206356,
0.003483276814222336,
0.011378065682947636,
-0.002198579255491495,
0.004875630605965853,
-0.06105303764343262,
-0.0044234744273126125,
-0.021684354171156883,
-0.0006052671815268695,
-0.0574166513979435,
-0.02849779650568962,
-0.018861370161175728,
0.013406787998974323,
0.02334943786263466,
-0.031426046043634415,
-0.06660331040620804,
0.026354242116212845,
-0.04237348586320877,
0.0334930457174778,
0.039234708994627,
0.013875690288841724,
-0.03148346394300461,
0.0039880648255348206,
-0.04122515395283699,
0.016775231808423996,
-0.02162693813443184,
-0.006789518985897303,
-0.016574272885918617,
-0.05691903829574585,
-0.0018110168166458607,
-0.03335907310247421,
0.04600987583398819,
-0.012449843809008598,
-0.023196326568722725,
-0.0229666605591774,
-0.014861342497169971,
0.05492859333753586,
-0.010583802126348019,
-0.03263179585337639,
-0.05990470573306084,
0.0010131646413356066,
-0.027579130604863167,
-0.018296772614121437,
-0.015425940044224262,
0.014440287835896015,
0.019358981400728226,
0.03749307245016098,
-0.042526599019765854,
-0.0008762020152062178,
-0.00898570567369461,
-0.01940682716667652,
-0.008636421523988247,
0.020727410912513733,
0.03992370888590813,
-0.010727344080805779,
0.00007984502735780552,
0.008593359030783176,
0.03722512722015381,
0.022449910640716553,
0.052478816360235214,
-0.03718684986233711,
-0.02065085433423519,
-0.029780102893710136,
0.001718910993076861,
0.06269898265600204,
0.0001664185692789033,
0.018000120297074318,
-0.02248818799853325,
-0.004538307897746563,
0.03378012776374817,
-0.02765568718314171,
0.0014354162849485874,
-0.017579063773155212,
-0.037282545119524,
0.019004911184310913,
0.022047992795705795,
-0.04558882117271423,
-0.009689060039818287,
-0.041837599128484726,
0.000247011223109439,
-0.021282438188791275,
0.01655513420701027,
-0.03129207342863083,
0.0037703600246459246,
0.028268130496144295,
0.001029911101795733,
0.04283282160758972,
0.007909143343567848,
-0.021971438080072403,
0.018794383853673935,
0.006942629814147949,
0.014851773157715797,
-0.015272828750312328,
0.009602935053408146,
-0.013732148334383965,
0.02689013071358204,
0.0034713149070739746,
-0.008478525094687939,
-0.04754098504781723,
0.025780076161026955,
0.02631596475839615,
-0.007540720049291849,
0.03069876879453659,
-0.014708232134580612,
0.05224915221333504,
0.018201077356934547,
0.013052718713879585,
0.005134005565196276,
-0.02639251947402954,
-0.016000106930732727,
-0.03406721353530884,
-0.03203849121928215,
-0.022985799238085747,
-0.03471793606877327,
0.03356960043311119,
-0.03957920894026756,
0.016277620568871498,
-0.03695718199014664,
0.008392400108277798,
-0.036689240485429764,
0.001437808619812131,
0.008770393207669258,
-0.01723456382751465,
0.0007362489122897387,
-0.029971491545438766,
-0.02899540774524212,
-0.013157982379198074,
-0.035521768033504486,
-0.015492926351726055,
0.013177121058106422,
-0.04646920785307884,
0.011100552044808865,
-0.044708430767059326,
0.008880442008376122,
0.03565574064850807,
-0.009196233004331589,
0.04294765368103981,
-0.027024103328585625,
-0.001156706246547401,
0.017368536442518234,
0.048651039600372314,
0.07353159040212631,
-0.0006698609213344753,
0.025665242224931717,
0.031024130061268806,
-0.006904351990669966,
-0.02105277217924595,
-0.003287103259935975,
0.04991420730948448,
0.0016423554625362158,
0.04861276224255562,
0.015521634370088577,
-0.019244147464632988,
0.01014360785484314,
0.06897653639316559,
0.02093793824315071,
-0.03655526787042618,
-0.030947573482990265,
0.048536207526922226,
-0.01286132913082838,
0.04677543044090271,
0.013464204035699368,
-0.035138990730047226,
-0.014851773157715797,
0.04313904419541359,
-0.022736992686986923,
0.002041879575699568,
-0.0391964316368103,
-0.020880522206425667,
-0.012086205184459686,
-0.007899574004113674,
-0.012382857501506805,
-0.0717325359582901,
0.013454634696245193,
0.006880428642034531,
0.006114873103797436,
0.0015454648528248072,
-0.017330259084701538,
-0.008445031940937042,
-0.01425846852362156,
-0.007062247954308987,
0.05014387518167496,
-0.02124416083097458,
-0.01587570458650589,
-0.020325494930148125,
-0.009837386198341846,
0.015732161700725555,
0.012382857501506805,
-0.026756158098578453,
0.010574232786893845,
-0.03760790452361107,
0.03033513016998768,
-0.051789816468954086,
-0.046048153191804886,
0.016497718170285225,
0.016143647953867912,
0.023311160504817963,
0.029493018984794617,
0.03270835056900978,
0.033627018332481384,
-0.017866147682070732,
0.005569415166974068,
0.05481376126408577,
0.010172316804528236,
0.01951209083199501,
0.017952272668480873,
0.030928434804081917,
0.022717854008078575,
-0.0006196213653311133,
-0.055158261209726334,
-0.04842137545347214,
0.0324978232383728,
0.012315871194005013,
0.016488147899508476,
0.012650801800191402,
0.012124482542276382,
0.001020939787849784,
-0.017158009111881256,
0.03211504593491554,
0.02754085324704647,
0.015808718279004097,
0.04095720872282982,
-0.054660651832818985,
-0.00518663739785552,
-0.006378032732754946,
0.015665175393223763,
-0.05041182041168213,
-0.030545657500624657,
-0.01971304975450039,
0.007220143917948008,
0.007378039415925741,
0.0028780095744878054,
0.01119624637067318,
-0.021186742931604385,
-0.0555027611553669,
-0.036765795201063156,
-0.003098106710240245,
0.017091022804379463,
0.007904359139502048,
-0.03374185040593147,
-0.06721575558185577,
0.037282545119524,
-0.0003008393105119467,
0.006779949646443129,
0.006172290071845055,
-0.03081360273063183,
0.00852158758789301,
-0.03747393190860748,
-0.015330245718359947,
0.032555241137742996,
0.01855514757335186,
0.01516756508499384,
0.03326337784528732,
-0.015952259302139282,
-0.02574179880321026,
0.016909202560782433,
-0.05569415166974068,
0.032765768468379974,
0.0028947561513632536,
0.00612444244325161,
0.01449770387262106,
-0.0191388837993145,
-0.035253822803497314,
0.00936848297715187,
0.03619162738323212,
0.016803938895463943,
-0.017952272668480873,
-0.002571787452325225,
0.039272990077733994,
-0.019071897491812706,
-0.024248965084552765,
0.015081440098583698,
-0.032650936394929886,
-0.005430658347904682,
0.008425893262028694,
0.026756158098578453,
-0.020038411021232605,
-0.0008451013127341866,
0.005698602646589279,
0.026258548721671104,
-0.009229726158082485,
-0.019550370052456856,
-0.019636495038866997,
0.00282059283927083,
-0.033512186259031296,
0.00229427358135581,
-0.017569495365023613,
0.0037751446943730116,
0.017942702397704124,
-0.01176084391772747,
0.01018188614398241,
-0.04620126262307167,
-0.02620113082230091,
-0.012507259845733643,
0.019483383744955063,
0.010803899727761745,
0.040689267218112946,
0.008004837669432163,
-0.029990630224347115,
0.018315911293029785,
0.037550490349531174,
-0.002643558196723461,
0.061359260231256485,
0.011033566668629646,
-0.03184710070490837,
0.02172263339161873,
0.028574353083968163,
0.004392373841255903,
0.019071897491812706,
-0.026335103437304497,
0.021741772070527077,
-0.040880654007196426,
-0.0045909397304058075,
0.025894908234477043,
0.021454688161611557,
-0.012363718822598457,
0.00507180392742157,
-0.01506230141967535,
-0.019272856414318085,
-0.01625848188996315,
-0.01809581369161606,
0.049225207418203354,
-0.011559885926544666,
0.040689267218112946,
0.030162880197167397,
0.004220123868435621,
-0.020229799672961235,
0.0167465228587389,
-0.01933027245104313,
-0.02055516093969345,
0.02803846448659897,
-0.03196193650364876,
0.03705287724733353,
0.02220110408961773,
-0.0411103218793869,
0.03278490528464317,
0.00025762731092981994,
-0.033052850514650345,
0.02076568827033043,
-0.0020574298687279224,
-0.029493018984794617,
-0.032861463725566864,
-0.02736860327422619,
-0.04574193060398102,
-0.039655767381191254,
-0.024937964975833893,
0.013129274360835552,
0.010000066831707954,
0.009526379406452179,
-0.02524418756365776,
-0.0031770546920597553,
-0.008526372723281384,
0.008904365822672844,
-0.009023983031511307,
-0.004708165302872658,
0.00574166513979435,
-0.030373407527804375,
-0.035636600106954575,
0.000533197307959199,
-0.03758876770734787,
-0.013713009655475616,
-0.01789485663175583,
-0.020689133554697037,
0.0024880548007786274,
0.008818240836262703,
0.05500515177845955,
0.014890051446855068,
0.0033804052509367466,
0.004406727850437164,
0.03186624124646187,
0.02267957665026188,
0.03309112787246704,
-0.03299543634057045,
0.01798098161816597,
-0.02620113082230091,
0.01176084391772747,
-0.02141641080379486,
0.02744515798985958,
-0.010000066831707954,
-0.01281348243355751,
0.007602921221405268,
-0.02861263044178486,
-0.009555087424814701,
-0.028746603056788445,
-0.057646315544843674,
0.024937964975833893,
-0.02124416083097458,
0.03642129525542259,
0.06415353715419769,
-0.02801932580769062,
0.023559965193271637,
0.06438320130109787,
-0.05136876180768013,
-0.008143594488501549,
0.027311187237501144,
-0.012363718822598457,
0.014028801582753658,
-0.00010518909402890131,
-0.0022954698652029037,
0.020402049645781517,
-0.007205789443105459,
-0.02861263044178486,
0.0458950437605381,
0.023655660450458527,
-0.011454621329903603,
-0.03578971326351166,
-0.0459333211183548,
-0.021760910749435425,
0.018421174958348274,
-0.028650907799601555,
-0.034564822912216187,
0.051713261753320694,
0.026086298748850822,
-0.01959821581840515,
0.0048540993593633175,
0.019588647410273552,
0.015760870650410652,
-0.05316781625151634,
0.05902431532740593,
0.023559965193271637,
0.025416437536478043,
-0.008626851253211498,
0.03471793606877327,
-0.036306463181972504,
0.01397138461470604,
-0.011846968904137611,
-0.011435482650995255,
-0.040115099400281906,
-0.0229666605591774,
0.008684268221259117,
-0.015760870650410652,
0.015091009438037872,
0.0296652689576149,
0.0047631897032260895,
-0.016507286578416824,
0.0019844630733132362,
0.006928275804966688,
0.0024294420145452023,
-0.002344513311982155,
-0.022507326677441597,
0.013291954062879086,
0.03462224081158638,
0.006081379950046539,
0.02918679639697075,
-0.010727344080805779,
-0.023789631202816963,
-0.010268011130392551,
-0.02746429666876793,
-0.006952199153602123,
-0.01477521751075983,
0.017473800107836723,
-0.0011315864976495504,
0.05240226164460182,
-0.0011638833675533533,
-0.033320795744657516,
-0.0014318276662379503,
-0.03578971326351166,
-0.034009795635938644,
-0.014909190125763416,
0.0458950437605381,
-0.03127293661236763,
0.011703426949679852,
-0.004555054008960724,
0.019751327112317085,
0.011665149591863155,
0.03244040906429291,
-0.014335023239254951,
-0.005363672040402889,
-0.03414376825094223,
-0.01287089940160513,
-0.0081244558095932,
-0.005363672040402889,
0.011177107691764832,
0.0215121041983366,
0.014516842551529408,
0.04191415384411812,
-0.011100552044808865,
-0.037914127111434937,
0.009942649863660336,
-0.004576585255563259,
-0.009622073732316494,
-0.05967503786087036,
0.01816279999911785,
-0.05814392864704132,
0.02267957665026188,
0.05412476137280464,
-0.06901481002569199,
-0.034277740865945816,
-0.01854557730257511,
-0.06377075612545013,
-0.004961755592375994,
-0.022067133337259293,
-0.050450097769498825,
0.00043241915409453213,
-0.0026507354341447353,
0.0107560520991683,
0.016277620568871498,
0.042909376323223114,
-0.012354149483144283,
0.025014519691467285,
-0.01516756508499384,
-0.006378032732754946,
-0.05699559301137924,
0.0007649572216905653,
0.01153117697685957,
0.0535888746380806,
-0.0458950437605381,
-0.0032990649342536926,
-0.011387635953724384,
-0.021110188215970993,
-0.0006477315910160542,
0.015713023021817207,
-0.012268024496734142,
0.022220242768526077,
-0.012516830116510391,
-0.0344117134809494,
0.025952326133847237,
0.015272828750312328,
-0.01353119034320116,
-0.03806724026799202,
-0.01959821581840515,
0.013186690397560596,
0.01266994047909975,
-0.034756213426589966,
0.03184710070490837,
-0.011846968904137611,
-0.04340698570013046,
0.01386612094938755,
-0.01922500878572464,
-0.010459399782121181,
0.0007332584937103093,
0.009669920429587364,
-0.04574193060398102,
0.004937831778079271,
-0.025760937482118607,
-0.0478472076356411,
-0.017942702397704124,
0.022028854116797447,
-0.035923682153224945,
0.0507180392742157,
-0.020708272233605385,
0.014899620786309242,
0.02926335297524929,
-0.0026961902622133493,
0.08168475329875946,
-0.03584712743759155,
-0.012191468849778175,
0.00285647832788527,
-0.024076715111732483,
0.03307199105620384,
0.019847022369503975,
0.03450740501284599,
0.007679476868361235,
0.03454568609595299,
0.02478485368192196,
0.019732188433408737,
0.00736368540674448,
-0.02401929907500744,
0.06377075612545013,
-0.03770359978079796,
0.014823065139353275,
0.009564656764268875
] |
Autonomous mobility tasks such as lastmile delivery require reasoning about
operator indicated preferences over terrains on which the robot should navigate
to ensure both robot safety and mission success. However, coping with out of
distribution data from novel terrains or appearance changes due to lighting
variations remains a fundamental problem in visual terrain adaptive navigation.
Existing solutions either require labor intensive manual data recollection and
labeling or use handcoded reward functions that may not align with operator
preferences. In this work, we posit that operator preferences for visually
novel terrains, which the robot should adhere to, can often be extrapolated
from established terrain references within the inertial, proprioceptive, and
tactile domain. Leveraging this insight, we introduce Preference extrApolation
for Terrain awarE Robot Navigation, PATERN, a novel framework for extrapolating
operator terrain preferences for visual navigation. PATERN learns to map
inertial, proprioceptive, tactile measurements from the robots observations to
a representation space and performs nearest neighbor search in this space to
estimate operator preferences over novel terrains. Through physical robot
experiments in outdoor environments, we assess PATERNs capability to
extrapolate preferences and generalize to novel terrains and challenging
lighting conditions. Compared to baseline approaches, our findings indicate
that PATERN robustly generalizes to diverse terrains and varied lighting
conditions, while navigating in a preference aligned manner. | [
0.004804201424121857,
-0.007934248074889183,
-0.03240857273340225,
-0.04724091663956642,
0.03956570476293564,
0.047049034386873245,
-0.028417464345693588,
0.01709652878344059,
-0.09617038071155548,
-0.021740032359957695,
0.05288219451904297,
-0.003336317604407668,
0.014103197492659092,
-0.025769516825675964,
-0.044362712651491165,
0.02991412952542305,
0.021740032359957695,
-0.009474086575210094,
-0.015312043018639088,
-0.018036743625998497,
0.03634211793541908,
-0.027438875287771225,
-0.04912134259939194,
0.05077151209115982,
0.08105021715164185,
0.011570378206670284,
0.0035737694706767797,
0.003616942558437586,
-0.05127039924263954,
0.04156126081943512,
0.010083306580781937,
0.015283261425793171,
0.023831525817513466,
0.051730912178754807,
-0.013383646495640278,
0.00011572777293622494,
0.03160267695784569,
0.009594012051820755,
-0.011157835833728313,
0.051500655710697174,
0.015148945152759552,
-0.022680245339870453,
0.026249216869473457,
-0.051232025027275085,
-0.02705511450767517,
-0.05230655521154404,
-0.021298706531524658,
0.0435568168759346,
-0.007732773665338755,
0.01541757769882679,
-0.018046336248517036,
-0.06880825757980347,
-0.010524631477892399,
0.03720558062195778,
-0.031065411865711212,
0.0410623736679554,
0.05418698117136955,
0.04854569956660271,
0.022910501807928085,
0.04156126081943512,
0.02983737736940384,
0.013872941955924034,
-0.09263978153467178,
-0.011033114045858383,
0.005799580365419388,
-0.013162984512746334,
0.04163801297545433,
0.017278816550970078,
-0.021068450063467026,
-0.0023037621285766363,
-0.01801755465567112,
-0.004120628349483013,
-0.069729283452034,
-0.01348918117582798,
-0.002379314973950386,
0.02590383216738701,
0.0672348365187645,
-0.03425062447786331,
0.026748105883598328,
0.008946415968239307,
0.03206318989396095,
0.010275186970829964,
-0.002683924976736307,
0.0007441355846822262,
0.04574425145983696,
-0.0009216247708536685,
0.07249235361814499,
-0.059099115431308746,
0.022910501807928085,
-0.008577046915888786,
-0.05253681167960167,
0.0449383519589901,
-0.036322928965091705,
0.004525975324213505,
0.03618861362338066,
0.07180158793926239,
0.03235100954771042,
0.008437933400273323,
-0.059866636991500854,
0.0074353595264256,
0.01701977662742138,
-0.008783318102359772,
0.011119459755718708,
-0.01993635669350624,
0.08304576575756073,
-0.06048065423965454,
-0.01080285757780075,
0.03419305756688118,
-0.02152896299958229,
0.11627943068742752,
-0.014122385531663895,
-0.0407169871032238,
-0.02120276726782322,
0.010112089104950428,
-0.07149457931518555,
0.0004563152033369988,
-0.022833749651908875,
-0.06792560964822769,
0.05737219378352165,
-0.01701977662742138,
0.04785493388772011,
0.04033322632312775,
0.02279537357389927,
-0.08181773871183395,
0.010610977187752724,
-0.016271444037556648,
-0.0025616013444960117,
-0.017614606767892838,
0.018238216638565063,
0.02571195177733898,
0.03872143477201462,
0.015110569074749947,
0.0076464274898171425,
0.010064118541777134,
0.05288219451904297,
0.04977373406291008,
-0.030278703197836876,
0.024925243109464645,
-0.05011912062764168,
-0.006595883518457413,
-0.02822558395564556,
-0.03960408270359039,
-0.022584304213523865,
0.008409151807427406,
-0.012750442139804363,
0.029050668701529503,
-0.018449285998940468,
0.03601592034101486,
-0.07088056206703186,
0.025001995265483856,
-0.025270627811551094,
0.027784259989857674,
0.027266182005405426,
-0.010841233655810356,
0.09033721685409546,
0.004773021209985018,
-0.10376883298158646,
0.035229213535785675,
-0.01851644366979599,
-0.01657845266163349,
0.08396679162979126,
-0.003127648029476404,
-0.05510800704360008,
0.08442730456590652,
0.07164808362722397,
-0.008821694180369377,
0.02204703912138939,
0.006696620490401983,
-0.039009254425764084,
0.037493400275707245,
-0.06512415409088135,
-0.03206318989396095,
0.025539260357618332,
0.025347379967570305,
-0.01626185141503811,
0.021855158731341362,
0.05261356383562088,
0.01903451979160309,
-0.028705283999443054,
0.03386686369776726,
-0.04631989076733589,
-0.006950861774384975,
0.02195109985768795,
0.017662575468420982,
0.017729735001921654,
0.03048977069556713,
0.07606133073568344,
-0.0078095258213579655,
0.029856566339731216,
-0.040601860731840134,
-0.02068468928337097,
0.030374642461538315,
0.008433137089014053,
0.021912723779678345,
0.01968691311776638,
-0.03795391321182251,
-0.0002755280293058604,
0.0027486844919621944,
-0.01127296406775713,
0.03139160946011543,
-0.013767407275736332,
-0.08089671283960342,
0.03960408270359039,
0.026114901527762413,
0.009661170653998852,
0.008193286135792732,
0.0024164917413145304,
0.011205806396901608,
0.0055741211399436,
-0.058369968086481094,
-0.003211595583707094,
-0.052575185894966125,
-0.029549557715654373,
-0.0032931447494775057,
-0.09716815501451492,
0.001017564907670021,
-0.0047994046472013,
-0.013844159431755543,
0.041254252195358276,
-0.01320136059075594,
0.002456067129969597,
0.032216694205999374,
0.029703062027692795,
-0.0221237912774086,
-0.07026654481887817,
0.050387751311063766,
0.034979768097400665,
0.022776184603571892,
-0.014889907091856003,
0.011167430318892002,
-0.014803560450673103,
-0.05963638052344322,
0.03260045498609543,
-0.05737219378352165,
-0.004859366919845343,
0.02481011487543583,
0.006375221069902182,
-0.04543724283576012,
-0.019725289195775986,
-0.003211595583707094,
0.009920208714902401,
-0.023562893271446228,
0.011781446635723114,
-0.0039023645222187042,
0.08465756475925446,
0.009910614229738712,
-0.017537854611873627,
0.03192887082695961,
0.06305184960365295,
0.02715105377137661,
-0.020723065361380577,
-0.03311853110790253,
0.013786595314741135,
0.04359519109129906,
-0.0005063839489594102,
0.015475141815841198,
0.02757319062948227,
-0.026210840791463852,
0.03553622215986252,
0.012299523688852787,
0.030547333881258965,
0.04873758181929588,
-0.0020807012915611267,
0.011733477003872395,
0.005228736437857151,
-0.015427171252667904,
0.036073487251996994,
0.030566522851586342,
0.024176910519599915,
-0.051232025027275085,
-0.024483919143676758,
-0.052575185894966125,
-0.0006338044186122715,
-0.011292152106761932,
-0.025347379967570305,
-0.0278034470975399,
0.05932937189936638,
-0.018545225262641907,
0.04048673063516617,
-0.024445543065667152,
-0.03041301853954792,
-0.002434480469673872,
0.005084826610982418,
-0.008428339846432209,
-0.017461102455854416,
0.03511408343911171,
-0.011954138986766338,
0.01348918117582798,
-0.04324980825185776,
-0.00043053130502812564,
-0.009637185372412205,
0.00013648981985170394,
-0.01750907301902771,
0.0043268995359539986,
0.05054125562310219,
-0.016636017709970474,
-0.015043411403894424,
-0.09041397273540497,
0.004864164162427187,
0.00976670440286398,
-0.0320248119533062,
-0.02546250820159912,
0.017202064394950867,
0.02889716438949108,
0.012472216039896011,
0.006624665576964617,
-0.06711971014738083,
0.03634211793541908,
-0.04716416448354721,
-0.0020807012915611267,
0.021260330453515053,
0.06784885376691818,
0.02933848835527897,
-0.03315690532326698,
-0.005387037992477417,
0.06508577615022659,
0.048891086131334305,
0.012913540005683899,
-0.04044835641980171,
-0.011493626981973648,
-0.01374821923673153,
-0.004609922878444195,
-0.07065030187368393,
-0.017192469909787178,
-0.01970610022544861,
0.003794431686401367,
0.003398678731173277,
0.04455459117889404,
-0.04229040443897247,
-0.025001995265483856,
-0.0683477446436882,
-0.018727511167526245,
-0.013258924707770348,
-0.015398389659821987,
0.016530482098460197,
0.07195509225130081,
-0.05295894667506218,
-0.02598058432340622,
0.02789938822388649,
-0.013805783353745937,
0.012616125866770744,
-0.047471173107624054,
0.027534814551472664,
0.004003101494163275,
-0.016818303614854813,
-0.0414077565073967,
0.024503106251358986,
0.00041014401358552277,
-0.04701066017150879,
0.0320248119533062,
0.001081125228665769,
-0.008389963768422604,
-0.01943746767938137,
-0.0022054235450923443,
0.07391227036714554,
0.004350884351879358,
-0.00708038080483675,
-0.010870016179978848,
-0.014285484328866005,
-0.02110682614147663,
0.0056556700728833675,
-0.07172483205795288,
-0.04148450866341591,
0.06520090997219086,
-0.09440507739782333,
0.036975324153900146,
-0.0011932553024962544,
0.022411612793803215,
0.013853753916919231,
0.022756997495889664,
0.009498071856796741,
-0.00147148163523525,
0.017787298187613487,
-0.023102380335330963,
-0.020166613161563873,
0.02782263606786728,
0.045360490679740906,
0.013940099626779556,
-0.000015346671716542915,
0.020569562911987305,
0.02454148232936859,
-0.025539260357618332,
-0.02528981678187847,
-0.028801225125789642,
0.017720140516757965,
0.09394456446170807,
0.028206394985318184,
-0.023524517193436623,
0.022565117105841637,
0.03066246211528778,
0.05648954212665558,
-0.023159945383667946,
-0.050733137875795364,
0.0016033992869779468,
0.03290745988488197,
-0.03785797208547592,
0.012433839961886406,
-0.03311853110790253,
0.019216805696487427,
-0.021010886877775192,
0.0010211627231910825,
-0.03609267249703407,
-0.013306895270943642,
0.04509185627102852,
0.053572963923215866,
-0.01198292151093483,
-0.03359822928905487,
-0.026709729805588722,
-0.011186618357896805,
0.03453844413161278,
-0.005631685256958008,
0.003626536577939987,
-0.026287592947483063,
0.023850714787840843,
0.03357904404401779,
0.006073009688407183,
-0.03292664885520935,
0.03284989669919014,
-0.016990995034575462,
-0.022987253963947296,
-0.058868858963251114,
0.037742841988801956,
0.006869312841445208,
-0.02296806499361992,
-0.0222964845597744,
0.028302336111664772,
-0.03613105043768883,
-0.008159707300364971,
0.0038256123661994934,
-0.018785076215863228,
0.0044660125859081745,
-0.03854874148964882,
0.037071261554956436,
-0.04090886935591698,
0.04965860769152641,
0.026441097259521484,
0.0021646490786224604,
0.03998784348368645,
0.0066486503928899765,
-0.013105420395731926,
-0.0295687448233366,
-0.04489997774362564,
-0.02755400352180004,
0.009637185372412205,
0.050886642187833786,
-0.001150681870058179,
0.00048239892930723727,
-0.01852603815495968,
-0.02152896299958229,
-0.04206014797091484,
-0.037090450525283813,
0.010073713026940823,
-0.019725289195775986,
-0.0594828762114048,
0.03192887082695961,
-0.03357904404401779,
0.013988069258630276,
-0.03634211793541908,
0.008783318102359772,
-0.022507552057504654,
0.025520071387290955,
0.006063415668904781,
0.01583971455693245,
-0.04593612998723984,
0.02363964542746544,
0.01691424287855625,
-0.02304481714963913,
0.0006949662347324193,
0.025155499577522278,
0.02269943244755268,
0.03720558062195778,
-0.03994946554303169,
0.009459695778787136,
0.0058187684044241905,
0.04946672543883324,
0.014151168055832386,
-0.03952733054757118,
-0.031967248767614365,
-0.0021574534475803375,
-0.05069475993514061,
0.00846191868185997,
-0.012222771532833576,
0.04954347759485245,
-0.02757319062948227,
0.019331933930516243,
-0.015695804730057716,
0.006159355863928795,
-0.008744942024350166,
-0.041753139346838,
0.008001405745744705,
-0.008092549629509449,
-0.04064023494720459,
-0.04915971681475639,
-0.014295077882707119,
-0.03488382697105408,
-0.06366586685180664,
-0.040256474167108536,
-0.042021773755550385,
0.05633603781461716,
0.03852955251932144,
-0.011570378206670284,
-0.023850714787840843,
0.019629348069429398,
-0.021183578297495842,
0.010927579365670681,
0.009191063232719898,
0.010150465182960033,
0.04332656040787697,
0.0002978640841320157,
-0.010016148909926414,
-0.011157835833728313,
0.017221251502633095,
0.012376275844871998,
0.02085738256573677,
0.03499895706772804,
0.03551703318953514,
0.024272849783301353,
-0.03720558062195778,
0.013393240980803967,
-0.005799580365419388,
0.009958584792912006,
0.014477364718914032,
0.008706565946340561,
0.009901020675897598,
-0.03461519628763199,
0.051078520715236664,
0.042098525911569595,
-0.0076752095483243465,
0.03877899795770645,
-0.023850714787840843,
-0.012241959571838379,
0.06282158941030502,
-0.0352100245654583,
-0.02789938822388649,
-0.030796779319643974,
-0.029012292623519897,
0.036073487251996994,
0.0026071728207170963,
0.007449750322848558,
-0.022910501807928085,
-0.011858198791742325,
0.0040510715916752815,
0.025654388591647148,
-0.02436879090964794,
-0.016396166756749153,
0.0016729558119550347,
-0.0064567700028419495,
-0.02521306462585926,
-0.02615327760577202,
0.020243365317583084,
0.01215561293065548,
-0.020492810755968094,
-0.02271862141788006,
0.02596139721572399,
0.012596937827765942,
-0.02018580213189125,
-0.014563710428774357,
0.02638353407382965,
0.0057899863459169865,
-0.04263579100370407,
0.01960056647658348,
-0.007281855214387178,
-0.028532592579722404,
-0.031199727207422256,
-0.004950510337948799,
-0.028858788311481476,
-0.008682580664753914,
0.041599635034799576,
0.003343513235449791,
-0.0019583776593208313,
-0.009833862073719501,
-0.017864050343632698,
-0.025270627811551094,
0.03678344190120697,
0.04282766953110695,
0.039162758737802505,
0.012462621554732323,
0.0003726674185600132,
-0.04397895187139511,
-0.046204760670661926,
0.00007581518002552912,
-0.028801225125789642,
0.019629348069429398,
0.04720253869891167,
0.0024752551689743996,
0.005775595083832741,
-0.05019587278366089,
-0.03801147639751434,
0.024618234485387802,
-0.06639056652784348,
-0.03369417041540146,
0.05952125042676926,
0.0123954638838768,
-0.0038352063857018948,
-0.018228622153401375,
0.022066228091716766,
0.0006380018312484026,
0.03964245691895485,
0.032293446362018585,
-0.040755365043878555,
0.016098752617836,
0.029012292623519897,
-0.006941267754882574,
0.03751258924603462,
0.01189657486975193,
0.0009647978586144745,
0.03638049587607384,
-0.033655796200037,
0.008538670837879181,
0.008908039890229702,
-0.019466251134872437,
0.02615327760577202,
-0.004693870432674885,
-0.03793472424149513,
0.04597450792789459,
0.024426354095339775,
0.030969470739364624,
0.0015254479367285967,
-0.02730455808341503,
0.00980028323829174,
0.015321637503802776,
-0.04693390801548958,
0.05211467295885086,
0.006370423827320337,
-0.04513023421168327,
0.009776297956705093,
0.013853753916919231,
-0.03576647862792015,
-0.015513517893850803,
0.011167430318892002,
0.010745293460786343,
0.039757587015628815,
0.024579858407378197,
-0.005502165760844946,
0.018535630777478218,
0.014966659247875214,
0.007785541005432606,
0.04873758181929588,
0.024445543065667152,
0.013959287665784359,
-0.014985847286880016,
-0.019955545663833618,
-0.00757926981896162,
0.004425237886607647,
-0.003427460789680481,
0.022661056369543076,
0.05326595529913902,
-0.02413853444159031,
0.053764842450618744,
0.001514654722996056,
-0.016722362488508224,
0.03286908566951752,
0.010073713026940823,
0.03315690532326698,
-0.003029309445992112,
-0.03601592034101486,
-0.016607234254479408,
0.0159260593354702,
-0.01143606286495924,
0.0191112719476223,
0.01470762025564909,
-0.024579858407378197,
-0.00989142619073391,
0.025347379967570305,
0.009699546732008457,
0.012481809593737125,
0.04278929531574249,
0.01026559341698885,
-0.012146019376814365,
0.03375173360109329,
0.0007423366769216955,
-0.018199840560555458,
-0.032293446362018585,
0.04942835122346878,
-0.000027189280444872566,
-0.020550373941659927,
0.010150465182960033,
0.022661056369543076,
0.03261964023113251,
-0.013527557253837585,
0.00439645629376173,
-0.029626309871673584,
-0.005430210847407579,
-0.008226864971220493,
-0.02388909086585045,
-0.014621274545788765,
-0.006140167824923992,
0.01643454283475876,
-0.01978285238146782,
0.054685868322849274,
-0.04305792599916458,
-0.0027846619486808777,
0.03300340101122856,
0.02319832146167755,
0.009910614229738712,
-0.011042707599699497,
0.03638049587607384,
-0.031449172645807266,
0.010399908758699894,
-0.02899310551583767,
-0.04635826498270035,
0.010169653221964836,
-0.038567930459976196,
-0.02481011487543583,
0.03877899795770645,
-0.005641279276460409,
-0.024906056001782417,
0.018804263323545456,
0.0005111809587106109,
0.025942208245396614,
-0.010639759711921215,
-0.00006685827247565612,
-0.008634611032903194,
0.03661074861884117,
0.025769516825675964,
0.039757587015628815,
0.005060841329395771,
0.003429859410971403,
-0.005003277212381363,
0.03156429901719093,
0.025404945015907288,
0.02722780592739582,
0.05495450273156166,
-0.03308015316724777,
-0.05932937189936638,
-0.0019535806495696306,
0.014419800601899624,
0.016875866800546646,
0.01799836754798889,
-0.010169653221964836,
0.030988659709692,
-0.024080971255898476,
-0.01725003309547901,
0.009291800670325756,
-0.0010487454710528255,
-0.0034250624012202024,
-0.013834565877914429,
0.003775243880227208,
-0.0012616126332432032,
-0.027438875287771225,
0.03181374445557594,
-0.026997549459338188,
0.05706518515944481,
-0.040755365043878555,
-0.014285484328866005,
0.033041778951883316,
0.005837956443428993,
0.003986312076449394,
-0.005751610267907381,
-0.02864772081375122,
0.06907688826322556,
0.00607780646532774,
0.015187321230769157,
-0.03426980972290039,
-0.04121587797999382,
-0.011455250903964043,
-0.01900573819875717,
-0.03979596123099327,
0.03008682280778885,
-0.03459600731730461,
-0.012203583493828773,
0.05606740713119507,
-0.009109514765441418,
0.03294583782553673,
0.051078520715236664,
-0.011771853081882,
-0.00912870280444622,
0.001837253337725997,
0.027880199253559113,
0.013786595314741135,
-0.012769630178809166,
0.024656610563397408,
0.08166423439979553,
-0.047087412327528,
0.01470762025564909,
-0.00412542512640357,
0.020627126097679138,
0.009987366385757923,
-0.03377092257142067,
0.000009631488865124993,
-0.022987253963947296,
-0.0022437996231019497,
0.01626185141503811,
-0.011464844457805157,
-0.027669131755828857,
0.0027438874822109938,
0.001872031600214541,
0.0025879847817122936,
-0.009661170653998852,
-0.021644091233611107,
0.011378498747944832,
-0.014285484328866005,
0.003132445039227605,
0.0015230494318529963,
0.03240857273340225,
0.004003101494163275,
-0.007694397587329149,
0.0005723427748307586,
-0.013796189799904823,
-0.06167031079530716,
0.01005452498793602,
-0.006965253036469221,
0.007656021509319544,
0.028954729437828064,
-0.008135722018778324,
-0.026268405839800835,
-0.020089861005544662,
-0.0056508732959628105,
-0.028417464345693588,
-0.022737808525562286,
0.009416522458195686,
0.0222964845597744,
-0.025750327855348587,
-0.014467770233750343,
-0.005933896638453007,
-0.026172464713454247,
0.017892831936478615,
-0.0008232861873693764,
-0.003556980052962899,
0.024023406207561493,
-0.012644908390939236,
-0.03275395929813385,
-0.013661873526871204,
0.005171172320842743,
-0.030892718583345413,
-0.011407280340790749,
0.03568972647190094,
-0.027784259989857674,
0.01936071738600731,
-0.038088228553533554,
0.029434429481625557,
0.06259133666753769,
0.00014091205957811326,
-0.025174688547849655,
-0.04052510857582092,
0.006711011286824942,
0.018996143713593483,
0.03248532488942146,
-0.023006441071629524,
0.05142390355467796,
0.00967556145042181,
0.014055227860808372,
-0.00657669547945261,
-0.029511181637644768,
-0.003154031466692686,
0.02068468928337097,
0.0005792384617961943,
0.019379904493689537,
0.004005500115454197,
0.02638353407382965,
0.04040997847914696,
0.04466972127556801,
0.03467275947332382,
0.00590991135686636,
-0.018919391557574272,
0.002983737736940384,
0.003458641469478607,
0.05940612405538559,
-0.06976765394210815,
-0.045782625675201416,
0.010668541304767132,
0.01508178748190403,
-0.025942208245396614,
0.0027870605699718,
0.02369721047580242,
-0.02294887788593769,
0.004619516897946596,
-0.02431122586131096,
-0.04098562151193619,
-0.0410623736679554,
0.0014738801401108503,
0.02127951942384243,
-0.06109466776251793,
0.0171732809394598,
0.0019044113578274846,
0.05142390355467796,
0.01624266244471073,
0.0048809535801410675,
0.04566749930381775,
-0.01608915813267231,
-0.005353458691388369,
0.014755590818822384,
0.028954729437828064,
-0.014486958272755146,
0.02740049920976162,
-0.03181374445557594,
-0.03402036800980568,
0.0006272085593082011,
0.023275073617696762,
-0.020646313205361366,
0.052421681582927704,
0.0205311868339777,
-0.02916579693555832,
0.008812099695205688,
0.053342707455158234,
-0.02246917597949505,
-0.0078095258213579655,
-0.02411934733390808,
0.006336844991892576,
0.025654388591647148,
0.012702472507953644,
0.011771853081882,
-0.006624665576964617,
-0.027266182005405426,
0.0445929691195488,
0.032197505235672,
0.01010249461978674,
-0.007987014949321747,
0.03344472497701645,
-0.008529076352715492,
0.010150465182960033,
-0.01323014311492443,
0.011877386830747128,
-0.03361741825938225,
0.024752551689743996,
0.028263960033655167,
-0.0177777037024498,
0.0004041477513965219,
0.02690161019563675,
-0.06527765840291977,
0.043940573930740356,
0.047125786542892456,
-0.026268405839800835,
0.016271444037556648,
-0.04305792599916458,
-0.01901533268392086,
0.05226817727088928,
-0.0240617822855711,
0.00032109959283843637,
0.018286187201738358,
-0.0135371508076787,
0.013143796473741531,
-0.04006459563970566,
0.022008663043379784,
0.03854874148964882,
0.03964245691895485,
0.02438797801733017,
-0.06999791413545609,
-0.03526758775115013,
-0.007723179645836353,
-0.02369721047580242,
0.004401253070682287,
-0.01252018567174673,
0.003652920015156269,
0.0278034470975399,
-0.007819119840860367,
0.037666089832782745,
-0.006970049813389778,
-0.021970286965370178,
0.009114311076700687,
0.024330414831638336,
-0.012136424891650677,
-0.012539373710751534,
-0.032638829201459885,
-0.014889907091856003,
0.0205311868339777,
-0.019331933930516243,
-0.04413245618343353,
-0.013441210612654686,
0.060442276298999786,
-0.0001735916594043374,
0.03426980972290039,
-0.08864866942167282,
-0.015494329854846,
-0.045705873519182205,
0.0066438536159694195,
0.00003483450927888043,
0.0012712066527456045,
-0.024426354095339775,
-0.0042741321958601475,
0.0006961654871702194,
-0.00943091418594122,
0.04340331256389618,
0.0111482422798872,
0.0013035864103585482,
0.01985960453748703,
-0.0027630755212157965,
-0.026786481961607933,
-0.01718287542462349,
0.00729144923388958,
0.043364934623241425,
0.0016909446567296982,
0.01851644366979599,
-0.013997663743793964,
0.021471399813890457,
-0.02747725136578083,
-0.017489884048700333,
-0.0022581906523555517,
-0.034979768097400665,
0.028283147141337395,
0.005199954379349947,
-0.03409712016582489,
0.015091381035745144,
-0.05840834602713585,
-0.01758582517504692,
0.04324980825185776,
0.05368809029459953,
-0.019168836995959282,
0.04014134779572487,
0.004257342778146267,
-0.06339722871780396,
-0.015455953776836395,
-0.03327203541994095,
0.04539886489510536,
0.025328192859888077,
0.0147843724116683,
0.05748732015490532,
-0.005262315738946199,
0.0018108697840943933,
0.004849773366004229,
-0.035305965691804886,
-0.0009809877956286073,
0.01525447890162468,
0.0026935189962387085,
-0.007089974824339151,
0.010351939126849174,
-0.02782263606786728,
-0.002049520844593644,
-0.011071490123867989,
-0.02548169530928135,
0.03442331403493881,
-0.01060138363391161,
0.069729283452034,
-0.02095332182943821
] |
In this work, we present a scalable reinforcement learning method for
training multi-task policies from large offline datasets that can leverage both
human demonstrations and autonomously collected data. Our method uses a
Transformer to provide a scalable representation for Q-functions trained via
offline temporal difference backups. We therefore refer to the method as
Q-Transformer. By discretizing each action dimension and representing the
Q-value of each action dimension as separate tokens, we can apply effective
high-capacity sequence modeling techniques for Q-learning. We present several
design decisions that enable good performance with offline RL training, and
show that Q-Transformer outperforms prior offline RL algorithms and imitation
learning techniques on a large diverse real-world robotic manipulation task
suite. The project's website and videos can be found at
https://qtransformer.github.io | [
-0.005977093242108822,
0.007621427997946739,
-0.0170013215392828,
-0.0029526164289563894,
0.006391347385942936,
0.011277853511273861,
0.026562979444861412,
0.038686249405145645,
-0.04744476079940796,
0.08312132954597473,
0.026461530476808548,
-0.044299814850091934,
0.039362583309412,
0.002413663547486067,
-0.006158857606351376,
0.009823737666010857,
-0.0445365309715271,
0.037096865475177765,
-0.033732108771800995,
-0.0184300746768713,
0.03298814222216606,
-0.0006567827658727765,
-0.029758652672171593,
0.0299446452409029,
-0.0017648064531385899,
0.014532705768942833,
0.0076806070283055305,
-0.011472298763692379,
-0.026207905262708664,
0.05603419244289398,
0.00840343814343214,
0.016603976488113403,
-0.015504934825003147,
-0.04000509902834892,
-0.028118545189499855,
0.0029589571058750153,
0.08873489499092102,
0.04345439746975899,
-0.027442213147878647,
0.04869597777724266,
-0.028913237154483795,
0.02340112254023552,
-0.06594247370958328,
-0.07196183502674103,
0.008619018830358982,
-0.0036226087249815464,
-0.005634699482470751,
0.021710289642214775,
0.03297123685479164,
0.03476351872086525,
0.02292769029736519,
-0.03679251670837402,
0.030925327911973,
0.017838284373283386,
-0.04626118019223213,
0.03753648325800896,
0.05799555778503418,
0.024905964732170105,
0.09630982577800751,
0.012706606648862362,
-0.03449298441410065,
0.019664382562041283,
-0.016105180606245995,
-0.007494615390896797,
0.07087970525026321,
-0.07101497054100037,
0.015116043388843536,
-0.06289897114038467,
0.023773105815052986,
0.016130542382597923,
-0.05106314271688461,
-0.022471165284514427,
-0.0829184278845787,
0.03224417567253113,
0.02179483138024807,
0.017170405015349388,
0.030806969851255417,
0.009029045701026917,
0.06874925643205643,
0.03899059817194939,
-0.019309308379888535,
0.03523695096373558,
-0.030553344637155533,
0.009587020613253117,
0.09137259423732758,
-0.04152684658765793,
-0.013382939621806145,
-0.05532404035329819,
0.017686108127236366,
-0.01330685243010521,
-0.08697643131017685,
0.0368601493537426,
-0.03550748527050018,
0.00977301225066185,
-0.07419373095035553,
0.024889055639505386,
-0.03797610104084015,
-0.0007429095567204058,
-0.06391347199678421,
-0.045753929764032364,
0.033884283155202866,
-0.013281489722430706,
0.01696750521659851,
-0.021980823948979378,
-0.01242761965841055,
-0.03349539265036583,
-0.038517165929079056,
0.0014720811741426587,
0.005009091459214687,
0.05285542830824852,
0.07439663261175156,
-0.025886647403240204,
-0.04223699867725372,
0.04260898008942604,
-0.06719368696212769,
-0.07087970525026321,
-0.020763423293828964,
-0.04609209671616554,
0.021997731178998947,
-0.08413583040237427,
0.010508524253964424,
0.03970075026154518,
0.03953166678547859,
-0.011734378524124622,
-0.019934916868805885,
0.06496179103851318,
-0.029538845643401146,
0.02548084780573845,
0.06269606947898865,
0.021896282210946083,
0.003216808894649148,
0.010745241306722164,
-0.04737712815403938,
-0.018159542232751846,
0.019613657146692276,
-0.0015893826493993402,
0.012351532466709614,
0.013112406246364117,
-0.03128040209412575,
0.009832191281020641,
0.0019423438934609294,
0.011015774682164192,
0.0007872939459048212,
0.011911915615200996,
-0.004607518669217825,
0.03349539265036583,
-0.013991639949381351,
0.07311160117387772,
0.041560664772987366,
0.023029139265418053,
-0.021896282210946083,
0.052111461758613586,
-0.02434798888862133,
0.009722287766635418,
0.03943021595478058,
0.01137084886431694,
-0.0371306836605072,
0.04517904669046402,
0.01530203502625227,
-0.021253766492009163,
0.04227081313729286,
0.013636564835906029,
0.009316487237811089,
0.060159824788570404,
0.0685463547706604,
0.015242855995893478,
0.08812619745731354,
-0.026224812492728233,
-0.055797476321458817,
0.047816745936870575,
0.008944503962993622,
0.014177631586790085,
0.03378283604979515,
0.034340810030698776,
0.015116043388843536,
-0.005216218531131744,
0.02948812022805214,
0.00196030898950994,
0.0025679520331323147,
-0.01530203502625227,
-0.04744476079940796,
0.04609209671616554,
-0.00026234323740936816,
0.0843387320637703,
0.07615509629249573,
0.08224209398031235,
0.06651735305786133,
0.040140364319086075,
0.03844953328371048,
-0.018294809386134148,
0.000764573342166841,
0.02593737095594406,
-0.006898596882820129,
-0.009849099442362785,
0.024449439719319344,
-0.016874508932232857,
-0.05829990655183792,
0.0420340970158577,
0.04808728024363518,
0.0265967957675457,
-0.07006809860467911,
-0.02242043986916542,
0.008673971518874168,
0.014617247506976128,
0.003354189218953252,
0.01545420940965414,
0.0056473808363080025,
-0.019258582964539528,
0.04585538059473038,
-0.10943068563938141,
-0.006915505044162273,
-0.0330219604074955,
-0.026985688135027885,
-0.025379396975040436,
0.01296868547797203,
-0.014219902455806732,
-0.023012232035398483,
-0.0025933145079761744,
-0.009561657905578613,
-0.03993746638298035,
-0.03828044980764389,
0.013349123299121857,
0.02245425619184971,
-0.01208945270627737,
-0.021761015057563782,
0.005901005584746599,
0.021896282210946083,
-0.01587691716849804,
-0.014997685328125954,
0.06371057033538818,
-0.03160165995359421,
-0.01506531797349453,
0.02786492183804512,
-0.03122967854142189,
0.003639517119154334,
-0.018666790798306465,
0.04680224508047104,
0.015445755794644356,
-0.005114768631756306,
-0.014135360717773438,
0.02612336352467537,
0.010914324782788754,
0.02049289084970951,
-0.02357020601630211,
0.05907769128680229,
0.06276370584964752,
-0.010077361948788166,
0.028608886525034904,
0.02020544931292534,
-0.017584659159183502,
-0.03986983373761177,
-0.00276239775121212,
0.023113681003451347,
-0.0009077657596208155,
-0.0032633068040013313,
0.051502760499715805,
0.020475981757044792,
-0.052923060953617096,
-0.031483303755521774,
-0.060497988015413284,
-0.008555612526834011,
0.028389079496264458,
-0.02321513183414936,
0.06651735305786133,
-0.027273129671812057,
0.03814518451690674,
0.0036289494019001722,
-0.004785056225955486,
0.008673971518874168,
-0.0034577525220811367,
0.002906118519604206,
-0.0038720066659152508,
-0.039362583309412,
-0.0033055776730179787,
0.00008804217941360548,
-0.07635799795389175,
0.011725923977792263,
0.0035951328463852406,
0.03696160018444061,
0.015479572117328644,
0.021896282210946083,
-0.028642704710364342,
-0.023806922137737274,
0.02563302218914032,
-0.004258784465491772,
-0.011413119733333588,
0.029065411537885666,
0.02948812022805214,
-0.058874789625406265,
-0.0420340970158577,
-0.027797287330031395,
-0.03665725141763687,
-0.019309308379888535,
-0.0010192550253123045,
0.029437394812703133,
-0.010415528900921345,
-0.006019364111125469,
-0.006239172071218491,
0.03905823081731796,
0.03800991550087929,
-0.04521286487579346,
0.0030308174900710583,
0.03861861675977707,
-0.0075368862599134445,
-0.025058139115571976,
0.028118545189499855,
0.006818282417953014,
0.03763793408870697,
0.0035972462501376867,
0.0009690584265626967,
-0.001664413372054696,
0.004229194950312376,
-0.04037708044052124,
0.03459443524479866,
-0.014177631586790085,
0.010449345223605633,
0.025413213297724724,
-0.010221082717180252,
-0.07182656973600388,
-0.025362487882375717,
0.0006419880082830787,
0.04889887943863869,
-0.0918460264801979,
0.059686388820409775,
0.022995322942733765,
-0.014143814332783222,
0.019951824098825455,
-0.0030392715707421303,
-0.004400391597300768,
0.010060453787446022,
-0.006112359929829836,
-0.012833419255912304,
-0.028304537758231163,
0.014558068476617336,
0.06655117124319077,
0.03009681962430477,
-0.06746421754360199,
-0.0012712947791442275,
-0.06168157234787941,
-0.060802340507507324,
-0.028896328061819077,
0.014439710415899754,
0.037908464670181274,
-0.011725923977792263,
0.02867652103304863,
-0.055966559797525406,
-0.06715986877679825,
0.04920322820544243,
-0.044942330569028854,
0.01586000993847847,
0.0009394688531756401,
-0.059990741312503815,
0.0013526660623028874,
0.018700608983635902,
0.02564992941915989,
-0.03696160018444061,
-0.038517165929079056,
0.03158475086092949,
0.00977301225066185,
-0.020239265635609627,
-0.0087246960029006,
-0.03729976713657379,
-0.06344003975391388,
0.03472970053553581,
-0.06360912322998047,
-0.015910735353827477,
-0.018142633140087128,
-0.03554129973053932,
0.02805091254413128,
0.0087246960029006,
0.01985037513077259,
0.004615972749888897,
-0.016417983919382095,
0.03953166678547859,
-0.022031549364328384,
-0.009992820210754871,
0.008369620889425278,
-0.051502760499715805,
-0.02754366211593151,
0.04514522850513458,
-0.019799649715423584,
0.012173994444310665,
-0.01290950644761324,
0.019038774073123932,
0.0004842650087084621,
0.04818872734904289,
0.025717563927173615,
-0.02608954720199108,
-0.056778158992528915,
0.01908949948847294,
0.10456109046936035,
-0.006725286599248648,
-0.03447607532143593,
-0.05468152463436127,
-0.0014202994061633945,
0.03234562650322914,
0.04937231168150902,
0.013898643665015697,
-0.019495299085974693,
-0.042203180491924286,
-0.04169593006372452,
0.03621763363480568,
-0.020628158003091812,
0.01793973334133625,
0.012545977719128132,
-0.0074734799563884735,
0.015327397733926773,
0.030401170253753662,
0.0310605950653553,
0.05829990655183792,
-0.011303216218948364,
-0.043183863162994385,
-0.0017140815034508705,
-0.03379974514245987,
0.027645112946629524,
-0.018328625708818436,
-0.008851508609950542,
-0.010136540979146957,
-0.035473667085170746,
-0.0487297959625721,
0.004958366509526968,
0.0425751656293869,
0.013459027744829655,
0.05143512785434723,
-0.012123269960284233,
0.012030273675918579,
0.000985438353382051,
-0.011235582642257214,
-0.0425751656293869,
-0.0645221695303917,
0.05177329480648041,
0.02933594584465027,
0.01777064986526966,
-0.026529163122177124,
0.009350304491817951,
0.02466924674808979,
0.0019307194743305445,
0.022318990901112556,
-0.013831010088324547,
0.0023608249612152576,
-0.007443890441209078,
-0.043319132179021835,
-0.004987956024706364,
-0.052314359694719315,
0.03719831630587578,
0.008648608811199665,
-0.03638671711087227,
-0.04771529510617256,
0.020070182159543037,
-0.01888659968972206,
-0.06688933819532394,
0.01481169369071722,
-0.08501506596803665,
-0.05745449289679527,
-0.01329839788377285,
-0.030079912394285202,
-0.0029230269137769938,
-0.029420487582683563,
-0.002675742609426379,
-0.0378408320248127,
0.0480196438729763,
0.021845556795597076,
0.022521890699863434,
-0.046836063265800476,
-0.023468757048249245,
-0.006797146983444691,
-0.02193009853363037,
-0.022623339667916298,
-0.02389146387577057,
0.009510933421552181,
0.03699541836977005,
-0.02400982193648815,
-0.003151289187371731,
0.040309447795152664,
0.02162574790418148,
0.01562329288572073,
0.01177664939314127,
-0.053903743624687195,
0.004417300224304199,
-0.03073933720588684,
0.06489415466785431,
-0.03182147070765495,
0.012917960993945599,
-0.04325149580836296,
0.000529706128872931,
0.024077456444501877,
0.05410664156079292,
-0.002548930235207081,
-0.04071524739265442,
0.013949369080364704,
-0.013611202128231525,
-0.0762227326631546,
-0.008741604164242744,
0.02769583836197853,
0.003702923422679305,
-0.01890350878238678,
-0.03264997899532318,
0.009561657905578613,
0.03794228285551071,
-0.056811973452568054,
0.0073297591879963875,
-0.013746469281613827,
0.04548339545726776,
0.01680687628686428,
0.026072638109326363,
0.03011372871696949,
0.006809828337281942,
0.006835190579295158,
-0.0174493920058012,
-0.036758698523044586,
0.0390920490026474,
0.030688611790537834,
0.023451847955584526,
-0.01748320832848549,
-0.01649407111108303,
0.014262172393500805,
0.005778420250862837,
-0.05265252664685249,
0.013188494369387627,
-0.0008348486153408885,
0.007963821291923523,
0.04101959988474846,
0.04304859787225723,
-0.02708713710308075,
-0.03892296552658081,
0.04960902780294418,
-0.022707881405949593,
-0.004148880485445261,
0.04555102810263634,
0.02737457863986492,
-0.044435080140829086,
0.040613800287246704,
-0.024398714303970337,
0.009189674630761147,
-0.00022667724988423288,
0.015090680681169033,
0.023992914706468582,
-0.03926113247871399,
-0.01081287395209074,
-0.013399847783148289,
-0.00740584684535861,
0.02306295558810234,
0.0025003186892718077,
0.014160722494125366,
0.018531525507569313,
-0.034357719123363495,
0.04162829741835594,
-0.04758002981543541,
-0.004873824771493673,
0.008597883395850658,
-0.015809284523129463,
-0.013433665037155151,
0.0012670676223933697,
0.02323203906416893,
-0.015572568401694298,
-0.05055589601397514,
-0.019123315811157227,
-0.02035762369632721,
0.030012277886271477,
-0.02979247085750103,
0.01711967960000038,
0.006708378437906504,
-0.019258582964539528,
-0.0037599890492856503,
0.006890142802149057,
-0.020712699741125107,
0.04369111359119415,
0.038517165929079056,
0.015572568401694298,
0.015006138943135738,
-0.02693496271967888,
-0.03665725141763687,
-0.03288669511675835,
0.009671562351286411,
0.018717516213655472,
0.06306805461645126,
-0.008952958509325981,
-0.018666790798306465,
-0.020864874124526978,
-0.04098578169941902,
0.00978146679699421,
-0.028067821636795998,
0.002267829142510891,
0.06218882277607918,
-0.014008548110723495,
-0.03733358159661293,
-0.03378283604979515,
-0.045584846287965775,
0.030401170253753662,
-0.007870825938880444,
-0.050386812537908554,
-0.0002832144673448056,
0.001097984379157424,
0.019478391855955124,
-0.003489455673843622,
-0.02130449004471302,
-0.008196311071515083,
-0.008876871317625046,
0.05853662267327309,
-0.014143814332783222,
0.007101496681571007,
0.04629499465227127,
0.009392575360834599,
0.01265588216483593,
-0.013577385805547237,
-0.007760921493172646,
0.036758698523044586,
0.03719831630587578,
-0.012047181837260723,
0.011176403611898422,
0.008162494748830795,
-0.004284147173166275,
0.05461389198899269,
0.0058798701502382755,
0.05745449289679527,
0.02242043986916542,
0.009713833220303059,
-0.011480753310024738,
0.021524298936128616,
-0.03814518451690674,
0.014101543463766575,
-0.000692712957970798,
0.01352666039019823,
-0.04057998210191727,
-0.016544796526432037,
0.019765833392739296,
0.009654654189944267,
-0.0368601493537426,
0.002455934416502714,
0.009747649542987347,
0.016460254788398743,
0.016561705619096756,
0.03895678371191025,
-0.01844698376953602,
0.010204174555838108,
-0.02642771415412426,
0.05332886055111885,
0.003206241177394986,
-0.004725877195596695,
0.02323203906416893,
-0.038381900638341904,
0.026190996170043945,
0.029589571058750153,
0.06411637365818024,
0.0007772545795887709,
0.00030725597753189504,
-0.0012057749554514885,
-0.009181221015751362,
0.03423935920000076,
0.02436489798128605,
-0.033377036452293396,
0.002992773661389947,
-0.006881688721477985,
0.05349794402718544,
-0.012858781963586807,
0.013019410893321037,
-0.002037453232333064,
-0.022183723747730255,
-0.025903554633259773,
0.03601473569869995,
0.034526802599430084,
-0.020053274929523468,
0.03543985262513161,
-0.005672743543982506,
0.04051234945654869,
-0.02850743755698204,
0.029589571058750153,
0.045111414045095444,
0.012562885880470276,
0.03631908446550369,
0.012934869155287743,
0.007756694685667753,
-0.02370547316968441,
0.01000127475708723,
-0.0005764682427980006,
-0.027492938563227654,
0.05451244115829468,
0.022048456594347954,
0.009620836935937405,
-0.026630613952875137,
0.006256080698221922,
-0.02292769029736519,
-0.003914277534931898,
0.0005120052373968065,
0.022555707022547722,
-0.020475981757044792,
-0.011709015816450119,
-0.01098195742815733,
0.006653426215052605,
0.03314032033085823,
-0.05873952433466911,
-0.015969913452863693,
-0.018193358555436134,
-0.003147062147036195,
0.00007252086652442813,
0.04889887943863869,
-0.0310605950653553,
0.004658243618905544,
0.053430311381816864,
-0.03926113247871399,
-0.03729976713657379,
-0.020391441881656647,
0.008635926991701126,
0.014295989647507668,
0.05353175848722458,
-0.001026123994961381,
0.02160884067416191,
0.018210267648100853,
-0.01192882377654314,
0.01616435870528221,
0.0184300746768713,
-0.008690879680216312,
0.021405940875411034,
0.009840645827353,
-0.005326122511178255,
0.03858479857444763,
0.005135904066264629,
-0.009341849945485592,
0.009096679277718067,
0.037401217967271805,
0.023604022338986397,
0.03729976713657379,
0.02372238039970398,
-0.026157179847359657,
-0.02752675488591194,
-0.01844698376953602,
0.025666838511824608,
-0.007790511008352041,
0.02451707236468792,
-0.014862418174743652,
0.03919349983334541,
-0.010635336861014366,
-0.02788182906806469,
-0.005769966170191765,
-0.018007367849349976,
0.002110370434820652,
-0.015268217772245407,
0.005288078915327787,
-0.0340026430785656,
0.002914572600275278,
0.022234449163079262,
-0.016062909737229347,
-0.00768483430147171,
0.0005117410328239202,
-0.0024369123857468367,
0.017347943037748337,
-0.020611248910427094,
0.07236763089895248,
0.031145136803388596,
-0.014287535101175308,
0.05589892342686653,
0.003130153752863407,
-0.015741651877760887,
0.008593657054007053,
-0.046700794249773026,
0.015504934825003147,
0.006458980496972799,
0.00717335706576705,
0.028270721435546875,
-0.0022889645770192146,
0.00968001689761877,
0.033715203404426575,
-0.007025409489870071,
0.01000127475708723,
-0.014481981284916401,
-0.029251404106616974,
-0.06570575386285782,
0.024787604808807373,
0.011244036257266998,
-0.03381665050983429,
0.016756150871515274,
-0.001536544063128531,
0.033377036452293396,
-0.02101704850792885,
0.010254899971187115,
0.024889055639505386,
-0.024449439719319344,
0.0020258286967873573,
-0.02578519657254219,
-0.015919188037514687,
-0.002910345559939742,
0.009798374958336353,
0.014760968275368214,
0.018937325105071068,
-0.034188635647296906,
0.0249905064702034,
0.004400391597300768,
-0.03351230174303055,
0.004123517777770758,
0.028575070202350616,
0.0015724742552265525,
-0.02515958808362484,
-0.00685209920629859,
0.03268379345536232,
0.020543616265058517,
-0.031195860356092453,
-0.0410534143447876,
0.002468615537509322,
-0.00961238332092762,
-0.028794879093766212,
0.013230765238404274,
-0.006945095025002956,
0.0194107573479414,
0.004577929154038429,
0.0020501345861703157,
-0.00568542443215847,
-0.0017341601196676493,
-0.013670381158590317,
0.014870872721076012,
-0.004514522850513458,
-0.010195720940828323,
0.00757070304825902,
-0.02245425619184971,
0.013408302329480648,
0.03150021284818649,
-0.04260898008942604,
-0.007638336159288883,
0.030248994007706642,
0.03378283604979515,
-0.05255107581615448,
-0.01730567216873169,
-0.03550748527050018,
0.009629291482269764,
0.01667160913348198,
-0.046058278530836105,
-0.027340762317180634,
0.00031306821620091796,
0.01296868547797203,
0.02132139913737774,
0.01826099120080471,
0.020864874124526978,
0.05447862669825554,
-0.051333677023649216,
-0.02820308692753315,
-0.028270721435546875,
0.015158314257860184,
0.033258676528930664,
-0.01362811028957367,
-0.005490978714078665,
0.049067962914705276,
0.01858225092291832,
-0.0071944925002753735,
-0.0467684306204319,
-0.003049839287996292,
-0.02483833022415638,
-0.00856829434633255,
-0.0216426569968462,
0.0030899965204298496,
-0.0016485617961734533,
0.019123315811157227,
0.0027983279433101416,
0.05322740972042084,
0.057894106954336166,
0.0020152609795331955,
-0.021761015057563782,
0.03959929943084717,
-0.019630566239356995,
0.11193311959505081,
-0.015149859711527824,
0.005376847460865974,
-0.0042608981020748615,
-0.02465233951807022,
-0.043826378881931305,
-0.024905964732170105,
0.04000509902834892,
0.011108770035207272,
0.03248089551925659,
-0.032430168241262436,
0.010905870236456394,
-0.034340810030698776,
0.0087246960029006,
0.0017796013271436095,
-0.023282764479517937,
-0.0025848604273051023,
-0.016384167596697807,
0.028405986726284027,
-0.022488072514533997,
-0.0388215146958828,
0.008471070788800716,
-0.011235582642257214,
0.0071226321160793304,
-0.000983324833214283,
0.03280215337872505,
-0.05035299435257912,
-0.008707787841558456,
0.007739786058664322,
0.0018049638019874692,
-0.013721106573939323,
0.014287535101175308,
0.013670381158590317,
0.003787464927881956,
0.006856326013803482,
-0.06611155718564987,
-0.027831103652715683,
0.028456712141633034,
0.010711424052715302,
-0.016079816967248917,
-0.004123517777770758,
-0.006370211951434612,
0.013484389521181583,
0.007980729453265667,
-0.021186131983995438,
-0.03281905874609947,
-0.028777970001101494,
0.031618569046258926,
0.0022044230718165636,
-0.006344849243760109,
0.003411254845559597,
0.06597628444433212,
-0.031009869650006294,
-0.001825042418204248,
0.017347943037748337,
0.07534349709749222,
-0.0035930192098021507,
0.013129315339028835,
0.0009590191184543073,
-0.02304604835808277,
-0.05015009269118309,
0.039497848600149155,
-0.040749065577983856,
-0.02385764755308628,
-0.008158267475664616,
0.0314156711101532,
0.07108259946107864,
-0.010542341507971287,
0.014270626939833164,
-0.0023777333553880453,
0.016248900443315506,
0.00025137924239970744,
0.031145136803388596,
-0.009274216368794441,
0.001313565531745553,
-0.012951777316629887,
0.008475298061966896,
0.024584705010056496,
0.017719926312565804,
0.0102633535861969,
0.0029948872979730368,
-0.037874650210142136,
-0.0022889645770192146,
-0.03175383433699608,
-0.015521842986345291,
-0.03310650214552879,
-0.011827373877167702,
0.038686249405145645,
-0.01619817689061165,
-0.005309214349836111,
0.0058545079082250595,
0.0017785445088520646,
-0.02228517271578312,
-0.007862371392548084,
-0.011962640099227428,
0.025717563927173615,
-0.021101590245962143,
0.013518206775188446,
-0.01248679868876934,
-0.0073847114108502865,
-0.023485664278268814,
-0.03733358159661293,
0.053599391132593155,
-0.011717469431459904,
0.015200585126876831,
-0.050724975764751434,
-0.012334623374044895,
-0.05353175848722458,
-0.025683747604489326,
-0.03175383433699608,
-0.021744107827544212,
0.003874120069667697,
0.023029139265418053,
-0.016950596123933792,
-0.007693288382142782,
0.024905964732170105,
-0.009206583723425865,
-0.017254946753382683,
0.012706606648862362,
-0.027476029470562935,
-0.021372124552726746,
-0.0631018728017807,
0.006332167889922857,
0.045584846287965775,
-0.039024416357278824,
0.0011487093288451433,
-0.005123222712427378,
0.010305624455213547,
0.0027476029936224222,
-0.009857553988695145,
-0.02833835408091545,
-0.03280215337872505,
-0.019427666440606117,
-0.0006810884806327522,
-0.008361167274415493,
0.031195860356092453,
0.007211401127278805,
0.011159495450556278,
0.00218328763730824,
-0.009155858308076859,
-0.03336012735962868,
0.03217654302716255,
0.020695790648460388,
-0.035473667085170746,
0.0013568931026384234,
-0.01457497663795948,
0.06634826958179474,
0.048459261655807495,
0.0077355592511594296,
0.025903554633259773,
-0.0030244768131524324,
-0.03604855015873909,
0.013196947984397411,
0.03126349300146103,
0.022826239466667175,
-0.009587020613253117,
-0.03459443524479866,
-0.01683223806321621,
0.02593737095594406,
0.03601473569869995,
0.005761512089520693,
-0.016764605417847633,
-0.01601218432188034,
-0.01153147779405117,
-0.015285126864910126,
0.06705842167139053,
-0.02098323218524456
] |
The problem of coordinated data collection is studied for a mobile
crowdsensing (MCS) system. A mobile crowdsensing platform (MCSP) sequentially
publishes sensing tasks to the available mobile units (MUs) that signal their
willingness to participate in a task by sending sensing offers back to the
MCSP. From the received offers, the MCSP decides the task assignment. A stable
task assignment must address two challenges: the MCSP's and MUs' conflicting
goals, and the uncertainty about the MUs' required efforts and preferences. To
overcome these challenges a novel decentralized approach combining matching
theory and online learning, called collision-avoidance multi-armed bandit with
strategic free sensing (CA-MAB-SFS), is proposed. The task assignment problem
is modeled as a matching game considering the MCSP's and MUs' individual goals
while the MUs learn their efforts online. Our innovative "free-sensing"
mechanism significantly improves the MU's learning process while reducing
collisions during task allocation. The stable regret of CA-MAB-SFS, i.e., the
loss of learning, is analytically shown to be bounded by a sublinear function,
ensuring the convergence to a stable optimal solution. Simulation results show
that CA-MAB-SFS increases the MUs' and the MCSP's satisfaction compared to
state-of-the-art methods while reducing the average task completion time by at
least 16%. | [
0.0061747352592647076,
0.001883364049717784,
-0.025945985689759254,
-0.022167624905705452,
0.02544344589114189,
0.06469745188951492,
-0.04664321616292,
0.03268375247716904,
-0.037895284593105316,
0.043851323425769806,
-0.03942152112722397,
-0.06246393918991089,
0.003271167166531086,
-0.007547415792942047,
-0.022111786529421806,
-0.008454781025648117,
-0.00642135227099061,
0.030990004539489746,
0.028347013518214226,
-0.04217618703842163,
0.04623373597860336,
-0.0381186380982399,
0.036238763481378555,
0.03700187802314758,
0.009529659524559975,
-0.017728516831994057,
0.010655722580850124,
-0.002419640077278018,
-0.09723230451345444,
0.05527946725487709,
0.01731903851032257,
0.03804418817162514,
-0.02201872505247593,
-0.05192919820547104,
-0.009622721932828426,
-0.05282260477542877,
0.06265006214380264,
-0.0004906168906018138,
0.01696539856493473,
0.06428797543048859,
-0.04392577335238457,
0.01414558757096529,
-0.021013643592596054,
-0.01803562417626381,
0.005248757544904947,
-0.04820667579770088,
-0.035847898572683334,
-0.03538258373737335,
0.0025615612976253033,
0.034116923809051514,
0.035140618681907654,
0.0031199397053569555,
0.030524689704179764,
-0.03389357402920723,
-0.04012880101799965,
0.028235338628292084,
0.01282409206032753,
0.023340219631791115,
0.023619409650564194,
0.03406108543276787,
0.03326074406504631,
0.02000856213271618,
-0.04418634995818138,
-0.0027546670753508806,
0.025387607514858246,
0.0023393731098622084,
0.005546559579670429,
0.0600442998111248,
0.04139445722103119,
-0.021125318482518196,
-0.04686656594276428,
0.035810671746730804,
-0.0009550598333589733,
-0.030245499685406685,
-0.01676996611058712,
0.025220094248652458,
0.05531669408082962,
0.03372605890035629,
0.008710703812539577,
-0.006705194711685181,
-0.00185428187251091,
0.03927261754870415,
-0.03322351723909378,
0.014890092425048351,
0.0613844059407711,
-0.008082528598606586,
-0.011651497334241867,
-0.09782791137695312,
0.011204794980585575,
0.02371247299015522,
-0.060304876416921616,
0.029575446620583534,
-0.025033967569470406,
0.056880153715610504,
0.023563571274280548,
-0.04024047404527664,
0.0075241499580442905,
-0.012405307963490486,
-0.07817298918962479,
-0.013754722662270069,
-0.020883355289697647,
0.030282726511359215,
0.006570253521203995,
-0.00650976225733757,
0.022949354723095894,
-0.011800398118793964,
-0.01152120903134346,
0.04493085294961929,
0.04463305324316025,
0.12954381108283997,
0.0037457889411598444,
0.0226515531539917,
0.01803562417626381,
0.025834310799837112,
-0.08509688079357147,
-0.011083812452852726,
-0.008454781025648117,
-0.06238948926329613,
-0.008892176672816277,
-0.017467940226197243,
-0.02466171607375145,
0.07742848247289658,
-0.033558547496795654,
-0.029817409813404083,
-0.0448191799223423,
0.04411190003156662,
0.020901966840028763,
-0.015020380727946758,
0.027956148609519005,
-0.013447614386677742,
0.05073799192905426,
0.01023693848401308,
-0.023228544741868973,
-0.02469894103705883,
0.030524689704179764,
-0.005197572987526655,
0.014573678374290466,
0.029091518372297287,
-0.019636308774352074,
-0.00556517206132412,
-0.04277179017663002,
0.00633294228464365,
-0.0362946018576622,
0.023805534467101097,
0.00047956567141227424,
0.03240456432104111,
-0.025945985689759254,
0.038416437804698944,
-0.04824389889836311,
0.05405103415250778,
-0.03439611196517944,
0.08040650188922882,
0.010823235847055912,
0.013484840281307697,
0.008952667936682701,
0.0005883331759832799,
-0.012265713885426521,
-0.05937424302101135,
0.007463658694177866,
-0.018910417333245277,
0.008836339227855206,
-0.009939136914908886,
0.013708190992474556,
-0.004639194346964359,
0.05457218736410141,
-0.021683696657419205,
0.013698885217308998,
0.0006049100193195045,
-0.057587433606386185,
0.0605282261967659,
-0.04035215079784393,
-0.01969214715063572,
-0.027528058737516403,
-0.024363914504647255,
0.06529305875301361,
-0.0006875034887343645,
0.03594096004962921,
-0.017700597643852234,
-0.006923893000930548,
0.03675991669297218,
-0.0032688407227396965,
0.010525434277951717,
0.045787032693624496,
0.02032497711479664,
0.026225175708532333,
-0.008859604597091675,
0.0214975718408823,
-0.02821672521531582,
0.012526290491223335,
-0.009892605245113373,
0.0006031650700606406,
0.027602508664131165,
0.10050812363624573,
-0.011390920728445053,
0.033093228936195374,
-0.06592588126659393,
-0.026932455599308014,
0.05609842389822006,
0.01315911952406168,
0.007728888653218746,
-0.06700541824102402,
-0.037820834666490555,
0.03942152112722397,
0.018556777387857437,
0.044372476637363434,
-0.006709848064929247,
0.025815697386860847,
-0.04556368291378021,
-0.004564743954688311,
-0.05073799192905426,
-0.017849497497081757,
0.030673591420054436,
0.0046182554215192795,
-0.013689578510820866,
0.004341392777860165,
0.0022253708448261023,
0.07191914319992065,
0.022893516346812248,
0.010320695117115974,
-0.012479758821427822,
0.024438364431262016,
0.028477301821112633,
0.005560518708080053,
-0.020343588665127754,
0.0017228302313014865,
-0.012442533858120441,
0.04493085294961929,
0.025629572570323944,
-0.02328438125550747,
-0.04548923298716545,
-0.0027965453919023275,
0.041208330541849136,
-0.03934707120060921,
0.0155880656093359,
0.011158263310790062,
-0.01913376897573471,
0.03774638473987579,
0.03826753795146942,
0.006765685975551605,
0.015569453127682209,
-0.014136281795799732,
-0.0311761312186718,
-0.04336739331483841,
-0.00282679102383554,
0.08762819319963455,
0.025145644322037697,
-0.0081290602684021,
0.02159063331782818,
0.039235394448041916,
-0.024754779413342476,
-0.035643160343170166,
-0.02414056286215782,
-0.0407988540828228,
0.01097213663160801,
0.00984607357531786,
0.0479833222925663,
0.04225063696503639,
-0.09857241064310074,
0.025387607514858246,
-0.04753661900758743,
0.04854170233011246,
0.04738771915435791,
-0.04552645608782768,
-0.0006659826613031328,
0.01097213663160801,
0.02378692291676998,
0.04202728718519211,
-0.01282409206032753,
0.002156736794859171,
0.024810615926980972,
-0.08048094809055328,
-0.042548440396785736,
-0.029054293408989906,
-0.0041715526022017,
-0.026467138901352882,
-0.031083067879080772,
-0.018519552424550056,
0.009799541905522346,
-0.01763545349240303,
0.01004150602966547,
0.01878012903034687,
0.026578815653920174,
0.024866454303264618,
0.0037550951819866896,
-0.027044130489230156,
-0.03953319415450096,
0.024047499522566795,
-0.030748041346669197,
-0.03216259926557541,
-0.016760660335421562,
-0.03594096004962921,
-0.08546913415193558,
0.04411190003156662,
0.033242132514715195,
0.05922534316778183,
0.0305060762912035,
0.01002289354801178,
-0.014424776658415794,
-0.020920580253005028,
-0.001340108341537416,
0.0029105476569384336,
-0.014359632506966591,
0.029407933354377747,
0.031622834503650665,
0.059597596526145935,
0.02441975101828575,
0.04493085294961929,
-0.011437452398240566,
-0.020920580253005028,
-0.036089859902858734,
0.019896885380148888,
-0.024829229339957237,
-0.02473616600036621,
-0.03826753795146942,
0.0016274405643343925,
0.014564371667802334,
0.07177024334669113,
0.011456064879894257,
-0.012126118876039982,
-0.032572075724601746,
0.020455265417695045,
0.004664786625653505,
-0.0819699615240097,
0.029054293408989906,
-0.020585553720593452,
-0.01153982151299715,
0.00370856374502182,
0.05006793513894081,
-0.04545200616121292,
0.017179444432258606,
-0.03192063421010971,
0.010665028356015682,
-0.04735049232840538,
-0.010776704177260399,
0.01846371404826641,
0.047611068934202194,
-0.02564818412065506,
0.07117464393377304,
0.016993317753076553,
0.0033107190392911434,
-0.033614382147789,
0.013103281147778034,
-0.07545554637908936,
0.07869414240121841,
-0.010609190911054611,
0.023526346310973167,
-0.023861372843384743,
-0.005486068315804005,
0.06730321794748306,
-0.0662609115242958,
0.0010789500083774328,
-0.04280901700258255,
0.0038877101615071297,
0.022819066420197487,
0.05256202816963196,
-0.005537253338843584,
-0.013475533574819565,
0.007826604880392551,
-0.031101681292057037,
-0.018575390800833702,
0.0032641873694956303,
-0.05464664101600647,
-0.02399166114628315,
-0.015001768246293068,
0.010013586841523647,
0.013829173520207405,
0.007193775847554207,
0.015690434724092484,
0.027323320508003235,
-0.006984383799135685,
-0.03372605890035629,
0.012237794697284698,
0.04738771915435791,
-0.012656578794121742,
-0.07407820969820023,
0.019896885380148888,
0.006849442608654499,
0.004632214549928904,
-0.05862974002957344,
0.02162786014378071,
0.012833398766815662,
0.01941295899450779,
0.01744002103805542,
-0.0027709531132131815,
0.006821523420512676,
0.06640981137752533,
0.029147356748580933,
0.0031385524198412895,
0.01905931904911995,
0.05446051433682442,
-0.026262400671839714,
-0.05326930433511734,
-0.014936624094843864,
-0.009124835021793842,
0.004632214549928904,
-0.035810671746730804,
0.001318005844950676,
-0.05576339736580849,
0.00474389037117362,
-0.027528058737516403,
0.025629572570323944,
0.011967911384999752,
-0.012758947908878326,
0.08092765510082245,
0.03590373694896698,
-0.009622721932828426,
-0.01941295899450779,
-0.041133880615234375,
-0.049658458679914474,
-0.012740335427224636,
-0.008887523785233498,
-0.05520501732826233,
-0.008194204419851303,
0.015439164824783802,
-0.008203510195016861,
0.07351983338594437,
-0.06049099937081337,
0.03216259926557541,
-0.0018345059361308813,
-0.05460941419005394,
-0.03223704919219017,
0.028123661875724792,
0.0792897418141365,
-0.008264001458883286,
0.03819308802485466,
0.02572263404726982,
-0.045749809592962265,
-0.02659742720425129,
-0.024885067716240883,
-0.02213039994239807,
0.04068717733025551,
0.05978372320532799,
-0.0009981015464290977,
-0.024959517642855644,
0.02864481508731842,
-0.00445772148668766,
0.001037071691825986,
0.0052534108981490135,
-0.017821580171585083,
-0.08494798094034195,
0.02043665200471878,
-0.02335883304476738,
-0.03147393465042114,
-0.02414056286215782,
0.01116756908595562,
-0.019077930599451065,
0.0007096059853211045,
-0.024810615926980972,
0.03318629413843155,
0.021125318482518196,
-0.04723881930112839,
0.01035792101174593,
-0.05836916342377663,
-0.024922292679548264,
0.047722745686769485,
-0.02244681492447853,
0.015718353912234306,
-0.07236585021018982,
0.018631229177117348,
-0.02032497711479664,
0.00795224029570818,
0.04001712426543236,
0.022037336602807045,
-0.03339103236794472,
-0.021478958427906036,
0.038490887731313705,
-0.0520036481320858,
-0.021255606785416603,
0.005723379086703062,
-0.0019985295366495848,
0.01301952451467514,
-0.06726599484682083,
-0.004690379370003939,
0.005076590925455093,
-0.006365514360368252,
0.030468851327896118,
-0.053604334592819214,
-0.05591229721903801,
-0.04411190003156662,
-0.04414912313222885,
-0.029110129922628403,
0.000868394854478538,
-0.023377444595098495,
-0.032255664467811584,
0.045749809592962265,
-0.032013699412345886,
-0.011828317306935787,
-0.023731084540486336,
-0.045154206454753876,
-0.03778361156582832,
0.005811789073050022,
-0.012563515454530716,
0.025220094248652458,
0.010665028356015682,
-0.024680327624082565,
-0.015280957333743572,
-0.009873992763459682,
-0.0668565183877945,
0.02311686798930168,
-0.008975934237241745,
-0.0203994270414114,
-0.04541478306055069,
0.05341820791363716,
0.023228544741868973,
-0.0007642805576324463,
-0.046941015869379044,
0.04757384583353996,
-0.0019729372579604387,
0.02300519309937954,
-0.01818452589213848,
0.04984458535909653,
0.07683287560939789,
0.016006849706172943,
0.01321495696902275,
-0.006318983156234026,
0.047052692621946335,
0.0524875745177269,
-0.01759822852909565,
-0.025852922350168228,
0.029798798263072968,
0.006830830127000809,
-0.009413330815732479,
-0.022893516346812248,
-0.023526346310973167,
-0.051705844700336456,
0.02043665200471878,
0.026187950745224953,
0.005039365496486425,
-0.003331658197566867,
-0.060900479555130005,
-0.032032310962677,
0.025127030909061432,
-0.01735626347362995,
-0.047052692621946335,
-0.02004578709602356,
-0.018929030746221542,
-0.003257207805290818,
0.05643345043063164,
-0.024531427770853043,
-0.025350382551550865,
-0.031157517805695534,
0.06573975831270218,
0.02765834704041481,
0.007454352453351021,
-0.01791464164853096,
0.04671766608953476,
-0.0056954603642225266,
-0.01284270454198122,
-0.0035550096072256565,
0.010404451750218868,
0.013419696129858494,
-0.014489920809864998,
-0.02639268897473812,
-0.021274220198392868,
-0.020697228610515594,
-0.03555009514093399,
0.021683696657419205,
-0.029426544904708862,
0.012945074588060379,
0.007351983338594437,
-0.001758892205543816,
0.01819383166730404,
0.04857892543077469,
-0.014099055901169777,
0.0023893944453448057,
-0.015234425663948059,
-0.025890149176120758,
0.053083181381225586,
-0.00032135844230651855,
-0.03139948099851608,
-0.010367226786911488,
-0.027844473719596863,
0.0038760772440582514,
-0.023824147880077362,
-0.003299086121842265,
-0.0062538390047848225,
-0.0037644014228135347,
0.021013643592596054,
-0.007296145427972078,
0.0024568652734160423,
0.019915498793125153,
0.005281329620629549,
0.017216669395565987,
0.039905447512865067,
0.04016602411866188,
0.010413758456707,
-0.008091834373772144,
-0.0214975718408823,
0.0035131312906742096,
0.009441249072551727,
0.005709419958293438,
0.008017384447157383,
-0.019859660416841507,
0.0038295455742627382,
-0.025127030909061432,
-0.02226068824529648,
0.021236995235085487,
0.00874327588826418,
0.038602564483881,
-0.04612206295132637,
-0.004913730546832085,
0.039830997586250305,
-0.03540119528770447,
-0.010153181850910187,
-0.031231969594955444,
0.01799839921295643,
0.026578815653920174,
0.045861486345529556,
-0.01430379506200552,
0.04098498076200485,
0.04928620532155037,
0.00911552831530571,
0.061607759445905685,
-0.037541646510362625,
0.01167941652238369,
0.024680327624082565,
0.058927539736032486,
-0.017505165189504623,
0.005951383616775274,
-0.011018668301403522,
-0.004366985056549311,
0.01621158793568611,
0.02177675999701023,
0.015671823173761368,
-0.01449922751635313,
-0.010962830856442451,
-0.035177841782569885,
-0.007975505664944649,
0.004201797768473625,
-0.011744560673832893,
-0.03834198787808418,
0.03026411309838295,
0.028663428500294685,
-0.007226347923278809,
-0.024494202807545662,
0.00035712955286726356,
0.017458632588386536,
0.04020325094461441,
-0.006295717321336269,
-0.002461518393829465,
-0.042362313717603683,
0.0197293721139431,
-0.016900254413485527,
0.08010869473218918,
-0.0067842984572052956,
0.023582184687256813,
-0.002346352906897664,
0.0005595417460426688,
0.015066912397742271,
0.0010789500083774328,
-0.010823235847055912,
0.012293633073568344,
0.03530813008546829,
0.010674335062503815,
-0.045116979628801346,
0.001874057692475617,
0.023805534467101097,
0.021050868555903435,
0.003489865455776453,
-0.009041078388690948,
0.019636308774352074,
-0.02769557200372219,
-0.0023219238501042128,
0.014415470883250237,
0.026336850598454475,
0.04921175539493561,
0.019319895654916763,
0.01203305646777153,
-0.021330056712031364,
0.0600442998111248,
-0.04589870944619179,
0.022521264851093292,
-0.03240456432104111,
0.03527090698480606,
0.011902767233550549,
-0.03307461738586426,
-0.02875649183988571,
0.031902022659778595,
-0.042473990470170975,
-0.018966255709528923,
0.0012179630575701594,
-0.03164144605398178,
-0.01485286746174097,
0.00026217615231871605,
0.027286093682050705,
-0.014750498346984386,
-0.006291063968092203,
0.05542837083339691,
-0.013233569450676441,
-0.024847842752933502,
-0.03136225789785385,
-0.02019468881189823,
0.03420998901128769,
0.006030487362295389,
-0.009055037051439285,
0.013438308611512184,
-0.017700597643852234,
-0.0017670352244749665,
0.003741135820746422,
0.004816014319658279,
-0.0331304557621479,
-0.03266514092683792,
-0.029966311529278755,
0.027434995397925377,
-0.016034768894314766,
0.04545200616121292,
-0.0065283747389912605,
-0.009706479497253895,
-0.028812328353524208,
-0.015318182297050953,
-0.0046485005877912045,
0.0007840564358048141,
-0.00781264528632164,
0.026336850598454475,
0.05773633345961571,
0.0019322221633046865,
-0.00016184251580853015,
-0.023377444595098495,
-0.022949354723095894,
0.041766710579395294,
-0.02702551707625389,
0.012088893912732601,
0.049695685505867004,
-0.02166508510708809,
-0.026187950745224953,
-0.028123661875724792,
-0.012703110463917255,
-0.0036224802024662495,
-0.005420924164354801,
0.004899770952761173,
0.026616040617227554,
-0.05211532488465309,
-0.057438530027866364,
-0.004185511730611324,
0.008715357631444931,
0.022242074832320213,
0.0219814982265234,
0.007514843717217445,
0.009245816618204117,
0.01353137195110321,
0.0024754779879003763,
-0.016230201348662376,
0.016835110262036324,
0.025834310799837112,
-0.001657686079852283,
0.028086436912417412,
-0.023061031475663185,
-0.005844361148774624,
-0.05077521502971649,
-0.00802669022232294,
0.01582072302699089,
-0.04150613397359848,
0.03886314108967781,
-0.05836916342377663,
-0.06011874973773956,
0.012591434642672539,
0.028793716803193092,
-0.01152120903134346,
0.017077075317502022,
0.035847898572683334,
0.016909562051296234,
0.012330858036875725,
0.02596459910273552,
0.03195786103606224,
0.02706274390220642,
0.0013145159464329481,
-0.043144043534994125,
0.006621438078582287,
0.00968786608427763,
-0.0006188694969750941,
0.009376104921102524,
-0.010953524149954319,
0.03871424123644829,
-0.03577344864606857,
-0.0022940048947930336,
0.01692817360162735,
-0.001426191651262343,
-0.015578758902847767,
-0.01618366874754429,
-0.016481470316648483,
-0.022819066420197487,
0.053678784519433975,
0.0058257486671209335,
0.041171107441186905,
-0.028030598536133766,
0.014210731722414494,
-0.019115155562758446,
-0.030413014814257622,
-0.00697507755830884,
0.04027770087122917,
-0.027416381984949112,
-0.0016018482856452465,
-0.01917099393904209,
-0.0021579000167548656,
0.020771678537130356,
-0.03741135820746422,
0.006858748849481344,
0.0018124034395441413,
-0.051705844700336456,
0.018137993291020393,
-0.027881698682904243,
-0.012721722945570946,
-0.01582072302699089,
0.031976472586393356,
-0.025704022496938705,
-0.026448527351021767,
-0.019468795508146286,
0.014722579158842564,
-0.028942616656422615,
-0.01317773200571537,
0.019031399860978127,
0.007752154488116503,
0.0037876672577112913,
-0.020827516913414,
-0.0340983122587204,
-0.0024522121530026197,
0.00254062213934958,
0.007835911586880684,
0.004529845435172319,
-0.021720921620726585,
0.016760660335421562,
-0.02687661722302437,
0.014331714250147343,
0.015476389788091183,
-0.024885067716240883,
-0.0030501424334943295,
0.012060974724590778,
-0.007482271641492844,
0.05189197137951851,
-0.02656020224094391,
0.008375677280128002,
0.020306363701820374,
-0.027565283700823784,
0.04541478306055069,
-0.004913730546832085,
0.002305637812241912,
-0.02363802120089531,
0.04742494598031044,
-0.004397230222821236,
0.0394587442278862,
0.022558489814400673,
-0.019357120618224144,
-0.03720661997795105,
-0.01803562417626381,
-0.018882498145103455,
0.025387607514858246,
-0.012777560390532017,
0.04225063696503639,
0.014703966677188873,
-0.03018966317176819,
-0.007956893183290958,
0.1043795496225357,
0.056172873824834824,
0.023489121347665787,
-0.013112587854266167,
0.008245388977229595,
0.022856291383504868,
-0.017784353345632553,
0.024587266147136688,
-0.01669551618397236,
0.021683696657419205,
0.012544902972877026,
-0.018258975818753242,
0.002159063471481204,
0.03515923023223877,
0.031064456328749657,
-0.04344184324145317,
-0.08353342115879059,
-0.012209875509142876,
-0.0461592860519886,
0.02473616600036621,
0.0034945185761898756,
-0.005728032439947128,
0.06782437115907669,
0.01079531665891409,
0.02300519309937954,
0.00005601960947387852,
0.01021832600235939,
0.018054237589240074,
-0.03590373694896698,
0.0014657435240224004,
-0.004927690140902996,
0.02607627399265766,
-0.008733970113098621,
0.06920170783996582,
-0.036406274884939194,
-0.003731829347088933,
-0.04731326922774315,
0.015150669030845165,
-0.018994174897670746,
0.007691663224250078,
0.03164144605398178,
-0.011316469870507717,
-0.017728516831994057,
0.01834273338317871,
-0.014275875873863697,
-0.061607759445905685,
-0.02836562693119049,
-0.05312040448188782,
0.01656522788107395,
-0.00965064112097025,
-0.05654512718319893,
-0.014824948273599148,
-0.004043590743094683,
0.0311761312186718,
0.035810671746730804,
-0.0019147727871313691,
-0.0009701825911179185,
0.01976659707725048,
0.0025569081772118807,
-0.0033037392422556877,
0.020566940307617188,
-0.024494202807545662,
-0.01976659707725048,
-0.0028430770616978407,
-0.04459582641720772,
-0.0008009241428226233,
-0.024326689541339874,
0.00907365046441555,
0.029463769868016243,
0.03298155590891838,
-0.0024591919500380754,
-0.035643160343170166,
0.02244681492447853,
-0.009576191194355488,
0.009957749396562576,
0.008133713155984879,
-0.011763173155486584,
-0.010525434277951717,
-0.018761517480015755,
-0.03212537616491318,
0.014750498346984386,
0.06827107071876526,
0.007500884123146534,
0.025871535763144493,
0.038602564483881,
-0.010720866732299328,
-0.034898653626441956,
-0.00840359553694725,
0.014601596631109715,
-0.019878273829817772,
0.026299625635147095,
-0.017393488436937332,
0.03273959085345268,
0.005248757544904947,
0.04344184324145317,
-0.0004941067891195416,
0.004208777565509081,
-0.031939249485731125,
0.020176075398921967,
-0.0493234321475029,
-0.02028775028884411,
0.003792320378124714,
-0.013252181932330132,
-0.007975505664944649,
-0.010525434277951717,
-0.025908760726451874,
0.03244178742170334,
0.000835241109598428,
0.08822380006313324,
-0.018770823255181313,
-0.0018659146735444665,
-0.0426228903234005,
-0.01018110103905201,
-0.024903679266572,
0.047722745686769485,
-0.028477301821112633,
0.008492005988955498,
-0.04921175539493561,
0.026783553883433342,
0.01605338044464588,
-0.038453664630651474,
-0.017533084377646446,
0.028067823499441147,
-0.033558547496795654,
0.02162786014378071,
-0.014610903337597847,
-0.007547415792942047,
-0.01656522788107395,
-0.004560090601444244,
0.0007933627348393202,
0.001635583583265543,
0.025182869285345078,
-0.019561858847737312,
0.0023963742423802614,
0.003943548072129488,
0.024121949449181557,
-0.038453664630651474,
0.0011661966564133763,
0.02536899596452713,
-0.02765834704041481,
-0.02494090422987938,
0.021888436749577522,
-0.00851992517709732,
-0.046382639557123184,
0.031622834503650665,
0.013010218739509583,
-0.03901204094290733,
-0.03646211326122284,
0.002752340631559491,
-0.0266718789935112,
-0.02659742720425129,
-0.023191319778561592,
0.046308185905218124,
-0.0010882563656195998,
-0.0331304557621479,
-0.010590578429400921,
0.01444339007139206,
-0.03329797089099884,
-0.016676902770996094,
-0.030115211382508278,
0.006802910938858986,
0.02462449111044407,
-0.017188750207424164,
-0.005262717138975859,
-0.018435794860124588,
-0.05661957710981369,
-0.01113034412264824,
0.02786308526992798,
-0.03599679842591286,
0.02406611293554306,
-0.033316582441329956,
0.01605338044464588,
0.00045717236935161054
] |
Classical motion planning for robotic manipulation includes a set of general
algorithms that aim to minimize a scene-specific cost of executing a given
plan. This approach offers remarkable adaptability, as they can be directly
used off-the-shelf for any new scene without needing specific training
datasets. However, without a prior understanding of what diverse valid
trajectories are and without specially designed cost functions for a given
scene, the overall solutions tend to have low success rates. While
deep-learning-based algorithms tremendously improve success rates, they are
much harder to adopt without specialized training datasets. We propose EDMP, an
Ensemble-of-costs-guided Diffusion for Motion Planning that aims to combine the
strengths of classical and deep-learning-based motion planning. Our
diffusion-based network is trained on a set of diverse kinematically valid
trajectories. Like classical planning, for any new scene at the time of
inference, we compute scene-specific costs such as "collision cost" and guide
the diffusion to generate valid trajectories that satisfy the scene-specific
constraints. Further, instead of a single cost function that may be
insufficient in capturing diversity across scenes, we use an ensemble of costs
to guide the diffusion process, significantly improving the success rate
compared to classical planners. EDMP performs comparably with SOTA
deep-learning-based methods while retaining the generalization capabilities
primarily associated with classical planners. | [
-0.004461114760488272,
0.02076992392539978,
-0.03153493255376816,
-0.039595432579517365,
0.025613294914364815,
0.025613294914364815,
-0.050272054970264435,
0.03973684459924698,
-0.11708934605121613,
-0.018737124279141426,
0.01777375303208828,
-0.03135816752910614,
0.012444278225302696,
0.0016593844629824162,
0.02757539041340351,
-0.013186692260205746,
0.04443880170583725,
-0.028317803516983986,
0.04521656781435013,
-0.04981246590614319,
-0.0045185633935034275,
-0.03137584403157234,
-0.04051461070775986,
0.029784955084323883,
0.0034933246206492186,
-0.021724456921219826,
0.02285575494170189,
-0.028388509526848793,
-0.04182267561554909,
0.08414029330015182,
0.05175688490271568,
0.02248454838991165,
0.001662698807194829,
0.009059222415089607,
-0.0039595430716872215,
-0.027186505496501923,
0.05359524488449097,
0.025507235899567604,
-0.03275461494922638,
0.03637830168008804,
-0.0065800887532532215,
0.007167833857238293,
-0.020893661305308342,
-0.05433765798807144,
-0.008144461549818516,
-0.005298540461808443,
-0.049777112901210785,
0.04016108065843582,
0.0016980518121272326,
0.04207014665007591,
-0.011295303702354431,
-0.05504471808671951,
0.00002428796869935468,
-0.041999440640211105,
-0.03871160373091698,
0.04001966863870621,
0.014441726729273796,
0.02246687188744545,
0.02248454838991165,
0.05341847985982895,
0.030032427981495857,
-0.03938331454992294,
-0.02326231636106968,
-0.01896691881120205,
-0.0026271746028214693,
-0.03604244813323021,
0.07523132115602493,
-0.030138486996293068,
0.021618397906422615,
-0.0619385689496994,
-0.039277251809835434,
-0.01988609880208969,
-0.07912015914916992,
-0.00798095390200615,
0.016651293262839317,
-0.020345687866210938,
-0.011843276210129261,
0.031605638563632965,
-0.007773254998028278,
0.011869790963828564,
-0.00004674613956012763,
0.04404991865158081,
-0.01618286408483982,
-0.07208489626646042,
0.097927987575531,
-0.043095383793115616,
0.021547691896557808,
-0.05868608504533768,
0.05571642890572548,
0.0007319189026020467,
-0.030810194090008736,
-0.01228518970310688,
-0.024747144430875778,
-0.013496031984686852,
-0.023704228922724724,
0.021494662389159203,
0.007035259623080492,
-0.036201536655426025,
-0.009686739183962345,
-0.045570097863674164,
-0.028901129961013794,
0.0029232564847916365,
-0.01163999643176794,
-0.006173528730869293,
0.038393426686525345,
-0.03754495456814766,
0.014052842743694782,
0.0719434842467308,
0.015166464261710644,
0.10422082990407944,
-0.04037319868803024,
0.01909065432846546,
0.010994803160429,
0.014591977000236511,
0.0039794291369616985,
-0.0032060809899121523,
-0.04663069173693657,
-0.06048909202218056,
0.08562511950731277,
-0.055575016885995865,
0.013098309747874737,
0.05232253298163414,
-0.028600627556443214,
-0.04461556673049927,
-0.01577630452811718,
0.014256122522056103,
-0.02358049340546131,
0.00026390509447082877,
-0.006717082113027573,
0.020716894418001175,
-0.022413842380046844,
0.017234617844223976,
-0.039595432579517365,
0.027716802433133125,
0.0638829842209816,
0.023633522912859917,
0.011065509170293808,
-0.0006032116361893713,
-0.0019145893165841699,
-0.006284006871283054,
-0.02137092687189579,
-0.018118444830179214,
-0.032719261944293976,
-0.01956791989505291,
0.03362076357007027,
0.0069115241058170795,
0.008626147173345089,
0.06603952497243881,
-0.039913609623909,
0.0029320947360247374,
-0.06614558398723602,
0.0043992470018565655,
0.004569383338093758,
0.015290199778974056,
0.048186223953962326,
-0.025118350982666016,
-0.038110602647066116,
0.0039794291369616985,
-0.017729561775922775,
-0.06512033939361572,
0.06328198313713074,
0.007919086143374443,
-0.015847010537981987,
0.04274185374379158,
-0.0024592475965619087,
0.026815298944711685,
0.025790059939026833,
-0.028406186029314995,
-0.02126486785709858,
0.028034979477524757,
-0.03676718473434448,
-0.007172252982854843,
-0.012559175491333008,
0.006032116245478392,
-0.03906513378024101,
0.05433765798807144,
0.018401268869638443,
0.011012479662895203,
-0.04217620566487312,
-0.03344399854540825,
-0.04207014665007591,
-0.02564864791929722,
0.024747144430875778,
0.029519807547330856,
0.04952964186668396,
0.05723660811781883,
0.06565064191818237,
0.000576144433580339,
0.08456452935934067,
-0.02396937645971775,
0.004374941810965538,
0.05104982480406761,
0.06140827015042305,
-0.040090374648571014,
0.039100486785173416,
-0.047090280801057816,
0.00006542388291563839,
0.02884810045361519,
0.007640680763870478,
0.020115893334150314,
-0.04984781891107559,
-0.030598076060414314,
0.06211533397436142,
-0.005979086738079786,
0.02418149635195732,
0.020292658358812332,
-0.008307970128953457,
-0.03835807368159294,
0.013054118491709232,
-0.12324077636003494,
-0.014353344216942787,
0.04136308282613754,
-0.027911243960261345,
-0.011436715722084045,
-0.02635570801794529,
0.010137490928173065,
-0.029537484049797058,
-0.022537577897310257,
0.0038822083733975887,
-0.06367086619138718,
0.007521364372223616,
-0.03512327000498772,
0.022820401936769485,
0.004061182960867882,
-0.079827219247818,
0.04970640689134598,
0.035989418625831604,
0.020151246339082718,
-0.012568013742566109,
0.02306787483394146,
-0.006023277994245291,
-0.0026404319796711206,
0.03722677752375603,
-0.010004917159676552,
-0.011038994416594505,
0.01587352529168129,
0.013425325974822044,
-0.011772570200264454,
0.008299131877720356,
0.012514984235167503,
-0.05734267085790634,
-0.035936389118433,
-0.017720723524689674,
0.010941772721707821,
0.0304566640406847,
0.07303942739963531,
0.009951887652277946,
0.03487579897046089,
0.0489286407828331,
-0.017146235331892967,
0.01193165872246027,
0.0035220489371567965,
0.0038777892477810383,
0.0076097468845546246,
-0.0011235645506531,
0.050979118794202805,
0.038004543632268906,
0.001374350395053625,
-0.02216637134552002,
-0.07565555721521378,
0.06324663013219833,
0.04843369871377945,
0.015184140764176846,
0.03655506670475006,
-0.011030156165361404,
-0.011869790963828564,
0.03574194759130478,
0.032507140189409256,
0.04383780062198639,
0.030085457488894463,
-0.0708475410938263,
-0.05550431087613106,
-0.028335480019450188,
-0.02218404784798622,
0.0009313322952948511,
-0.05129729583859444,
0.052888184785842896,
0.03233037516474724,
0.0698930099606514,
0.0028105685487389565,
0.019744686782360077,
-0.06084262207150459,
0.01467152126133442,
-0.02655015140771866,
-0.01338113471865654,
-0.016430336982011795,
-0.027327917516231537,
-0.04585292190313339,
-0.036979302763938904,
-0.002201833063736558,
-0.004005943890661001,
0.017720723524689674,
-0.04475697875022888,
0.004260044079273939,
0.09948351979255676,
-0.0010152957402169704,
-0.06041838601231575,
-0.0234744343906641,
-0.012912706471979618,
-0.04779734089970589,
-0.061973921954631805,
0.021724456921219826,
0.026744592934846878,
0.0024216847959905863,
-0.0269743874669075,
-0.009050384163856506,
-0.02248454838991165,
-0.010172843933105469,
0.0142296077683568,
-0.034292470663785934,
-0.008847104385495186,
0.027239535003900528,
0.011392524465918541,
-0.013001088984310627,
0.02775215543806553,
0.020133569836616516,
0.09121090173721313,
-0.04281255975365639,
0.015617216005921364,
-0.015237170271575451,
0.008170977234840393,
0.0214593093842268,
-0.04726704582571983,
0.005073164589703083,
0.03842877969145775,
-0.02815871499478817,
-0.013204368762671947,
0.006553573999553919,
-0.021141132339835167,
0.04404991865158081,
-0.024199172854423523,
-0.04146914184093475,
-0.042105499655008316,
0.001168860704638064,
-0.022714342921972275,
0.04634786769747734,
-0.036590419709682465,
0.02467643842101097,
0.002244919538497925,
-0.037191424518823624,
0.027204181998968124,
0.04341356083750725,
-0.039595432579517365,
0.015316714532673359,
0.01019052043557167,
-0.04224691167473793,
0.006721501238644123,
0.0254718828946352,
-0.03920654579997063,
-0.0194618608802557,
0.0009987240191549063,
-0.02985566295683384,
-0.02255525439977646,
-0.012223321944475174,
0.05161547288298607,
-0.05051952600479126,
-0.012435439974069595,
0.010517536662518978,
-0.05161547288298607,
0.007857218384742737,
-0.02435826137661934,
-0.027487006038427353,
-0.03575962409377098,
0.05023670196533203,
-0.06119615212082863,
0.02527743950486183,
-0.032312698662281036,
-0.03215361014008522,
0.017915165051817894,
0.013708150014281273,
0.020805278792977333,
-0.0048522078432142735,
0.006425419356673956,
0.011666511185467243,
0.00009356132795801386,
0.05903961509466171,
0.027716802433133125,
-0.022007282823324203,
-0.044191330671310425,
0.008842685259878635,
-0.00843612477183342,
0.034204088151454926,
-0.04366103187203407,
0.005108517594635487,
-0.014733389019966125,
0.05271141603589058,
0.02824709750711918,
-0.008060498163104057,
-0.004028039518743753,
0.024128464981913567,
0.02506532147526741,
-0.041999440640211105,
-0.05005993694067001,
0.012895029969513416,
0.029183954000473022,
-0.0359540656208992,
0.0379691906273365,
-0.04546403884887695,
0.013204368762671947,
0.008842685259878635,
-0.027204181998968124,
0.023739581927657127,
0.012912706471979618,
0.024623408913612366,
0.058155789971351624,
-0.025242086499929428,
0.009836990386247635,
-0.016624778509140015,
0.048080164939165115,
0.008652661927044392,
-0.02038104087114334,
-0.04450950771570206,
-0.009218310937285423,
-0.009492297656834126,
-0.006584507878869772,
-0.021724456921219826,
0.000268186122411862,
0.03913583979010582,
-0.013876077719032764,
-0.0419287346303463,
-0.014273799024522305,
0.027239535003900528,
0.03765101358294487,
-0.0054708863608539104,
-0.020451746881008148,
0.0738171935081482,
0.004785920958966017,
-0.029625866562128067,
0.0068054646253585815,
-0.003601593431085348,
0.0032789965625852346,
-0.02817639149725437,
0.0459589809179306,
-0.056176017969846725,
0.0034204088151454926,
0.01728764735162258,
0.003161889733746648,
0.04415597766637802,
-0.03388591110706329,
0.016156349331140518,
0.011445553973317146,
-0.026532474905252457,
-0.006266330368816853,
-0.024305231869220734,
-0.037898484617471695,
-0.01358441449701786,
-0.006173528730869293,
-0.03365611657500267,
-0.004383780062198639,
-0.056777019053697586,
-0.02807033248245716,
0.006527059245854616,
-0.011657672934234142,
-0.037297483533620834,
0.06278704106807709,
0.006831979379057884,
-0.039489373564720154,
-0.020434070378541946,
0.022997166961431503,
-0.020204275846481323,
0.03867625072598457,
0.036979302763938904,
0.02815871499478817,
0.005121774971485138,
0.012435439974069595,
0.02704509347677231,
-0.005311797838658094,
-0.01896691881120205,
-0.008754302747547626,
0.034999534487724304,
0.014317990280687809,
-0.053489185869693756,
0.0015002955915406346,
0.04270650073885918,
0.013213207945227623,
0.01787981204688549,
-0.030315252020955086,
-0.08498876541852951,
-0.004856626968830824,
-0.007503687869757414,
-0.024393614381551743,
-0.028936482965946198,
0.06162038818001747,
-0.04765592887997627,
0.0011898515513166785,
0.008692434057593346,
0.1168065220117569,
0.02886577695608139,
-0.0549386590719223,
-0.013716988265514374,
0.020310334861278534,
-0.04514586180448532,
-0.048681169748306274,
0.01543161179870367,
0.00798979215323925,
-0.05660025402903557,
-0.009783959947526455,
-0.0469488687813282,
0.0569184310734272,
0.02386331744492054,
0.011560452170670033,
-0.0006904895417392254,
0.025896118953824043,
-0.0015433821827173233,
-0.0007065088720992208,
-0.0016593844629824162,
0.03825201466679573,
-0.02377493493258953,
0.0034513429272919893,
-0.03952472656965256,
0.023421404883265495,
0.0419287346303463,
-0.018701771274209023,
-0.003961752634495497,
0.020221952348947525,
0.0010666681919246912,
-0.00046538992319256067,
-0.023934023454785347,
0.012956897728145123,
0.03634294867515564,
0.01432682853192091,
0.033603087067604065,
0.012196807190775871,
-0.022219400852918625,
-0.03508791700005531,
0.06123150512576103,
0.037615660578012466,
-0.03945402055978775,
0.06847888231277466,
0.018153797835111618,
-0.038499485701322556,
0.054160892963409424,
0.003771730000153184,
-0.035512153059244156,
-0.027504682540893555,
0.0035330967511981726,
0.019833069294691086,
-0.04701957479119301,
0.003913142252713442,
0.019320448860526085,
-0.017296485602855682,
0.0107296546921134,
-0.04532262682914734,
0.04532262682914734,
0.01877247728407383,
-0.025312794372439384,
-0.007300407625734806,
-0.06543852388858795,
-0.002328883158043027,
0.03835807368159294,
0.002552049234509468,
-0.02248454838991165,
-0.03035060502588749,
-0.01666896976530552,
-0.06939806044101715,
-0.03572427108883858,
-0.019921451807022095,
-0.04104490578174591,
0.0012263093376532197,
-0.05713054910302162,
0.02775215543806553,
-0.031888462603092194,
0.03236572816967964,
-0.01438869722187519,
0.03202987462282181,
-0.038499485701322556,
0.011507421731948853,
0.046595338732004166,
0.020204275846481323,
-0.004679861944168806,
-0.025719353929162025,
-0.015184140764176846,
-0.021848192438483238,
0.004905237350612879,
0.009916534647345543,
0.005347150843590498,
0.004520772956311703,
0.012081908993422985,
-0.028724364936351776,
0.0021565367933362722,
0.012780132703483105,
-0.012081908993422985,
-0.0005849827430211008,
0.020451746881008148,
0.012258674949407578,
-0.025524912402033806,
-0.027221858501434326,
-0.04422668367624283,
0.01976236328482628,
-0.03162331506609917,
0.005789064336568117,
0.03073948808014393,
0.045181214809417725,
0.03222431614995003,
0.0024747145362198353,
0.004226900637149811,
0.031888462603092194,
-0.014309152029454708,
0.006522640120238066,
-0.030615752562880516,
-0.003316559363156557,
0.0159619078040123,
-0.012347057461738586,
-0.0013588833389803767,
-0.012523822486400604,
0.006058631464838982,
0.005006877705454826,
0.04203479364514351,
-0.0229794904589653,
-0.041398435831069946,
-0.030933931469917297,
-0.008590794168412685,
-0.018136121332645416,
0.005218996200710535,
0.03920654579997063,
0.027822861447930336,
0.032719261944293976,
-0.007022002246230841,
0.0030248966068029404,
-0.031004637479782104,
-0.014724550768733025,
-0.005603460595011711,
0.035989418625831604,
0.0304566640406847,
-0.008696853183209896,
0.026125913485884666,
0.04207014665007591,
-0.037191424518823624,
-0.01907297782599926,
0.00559020321816206,
-0.01327507570385933,
0.03386823460459709,
-0.020487099885940552,
0.004083279054611921,
0.018047738820314407,
-0.0061072418466210365,
-0.028936482965946198,
0.0284592155367136,
0.006818722002208233,
0.057271961122751236,
-0.03453994169831276,
-0.012903868220746517,
-0.02964354306459427,
0.04016108065843582,
0.002085830783471465,
0.02375725843012333,
-0.0037673108745366335,
-0.01896691881120205,
0.07169601321220398,
0.026178942993283272,
0.0061072418466210365,
0.03913583979010582,
0.012886191718280315,
0.058862850069999695,
-0.031517256051301956,
0.018489651381969452,
0.006451934110373259,
-0.037509601563215256,
0.005546011961996555,
0.029997074976563454,
-0.00016889373364392668,
-0.019620949402451515,
0.01586468704044819,
0.0075302026234567165,
-0.021724456921219826,
0.031393520534038544,
0.06830211728811264,
0.004388199187815189,
-0.028706688433885574,
0.041080258786678314,
0.0010042479261755943,
0.002114555099979043,
-0.018153797835111618,
0.059251733124256134,
0.025118350982666016,
0.006721501238644123,
0.013107147999107838,
0.01606796681880951,
0.015290199778974056,
-0.03273693844676018,
-0.011401362717151642,
-0.02006286382675171,
-0.029396072030067444,
-0.03606012463569641,
-0.04146914184093475,
-0.008745464496314526,
-0.0022393956314772367,
0.020345687866210938,
-0.013018765486776829,
0.030721811577677727,
-0.043378207832574844,
0.01173721719533205,
-0.0014605234609916806,
0.04574686288833618,
0.05009528994560242,
-0.024287555366754532,
-0.03183543309569359,
-0.014963184483349323,
0.013522546738386154,
0.0194618608802557,
-0.007653938140720129,
-0.009907696396112442,
0.006297264248132706,
-0.02388099394738674,
0.04436809569597244,
-0.017013661563396454,
-0.010694301687180996,
0.01845429837703705,
-0.04026713967323303,
0.001185432425700128,
-0.018056577071547508,
0.057979024946689606,
-0.004089907743036747,
0.057484082877635956,
0.049388229846954346,
0.026125913485884666,
-0.010623595677316189,
-0.03153493255376816,
0.004564964212477207,
0.013770018704235554,
-0.01228518970310688,
0.022838078439235687,
0.041398435831069946,
-0.059074968099594116,
-0.0269567109644413,
0.037509601563215256,
-0.01986842229962349,
-0.03324955701828003,
0.02946677803993225,
-0.010676625184714794,
0.039595432579517365,
-0.04882258176803589,
0.021317897364497185,
0.004131889436393976,
0.024004729464650154,
-0.01656291075050831,
0.015564186498522758,
0.03575962409377098,
0.0045185633935034275,
0.008104689419269562,
0.03574194759130478,
-0.002529953606426716,
0.049282170832157135,
0.01348719373345375,
-0.012020041234791279,
0.02135325036942959,
0.024605732411146164,
0.04875187575817108,
0.012152615934610367,
-0.025136027485132217,
0.05401948094367981,
0.01658942550420761,
0.04320144280791283,
0.007605327758938074,
-0.022396165877580643,
0.009580680169165134,
0.019903775304555893,
0.012400086969137192,
0.007830703631043434,
0.008847104385495186,
-0.005629975348711014,
0.0014218559954315424,
0.053878068923950195,
0.02027498185634613,
-0.0008954267832450569,
0.01807425357401371,
-0.0057625495828688145,
-0.010915257968008518,
-0.0005394103936851025,
0.037191424518823624,
0.021123455837368965,
-0.0234567578881979,
-0.00041816045995801687,
0.001448370865546167,
-0.02877739444375038,
-0.013469517230987549,
-0.014759903773665428,
-0.04175196960568428,
-0.03422176465392113,
0.02805265597999096,
-0.024128464981913567,
0.018913889303803444,
-0.007446238771080971,
0.011913982219994068,
0.0011776989558711648,
0.007282731123268604,
-0.019850745797157288,
-0.00350658199749887,
-0.008064917288720608,
-0.012223321944475174,
-0.010243549942970276,
-0.01202887948602438,
0.014203093014657497,
0.013098309747874737,
0.021035073325037956,
0.024588055908679962,
-0.04171661660075188,
0.021954253315925598,
-0.0708828940987587,
-0.04235297068953514,
-0.008962001651525497,
0.0065403166227042675,
-0.021618397906422615,
-0.03782777860760689,
0.01726997084915638,
0.001361092901788652,
-0.008312389254570007,
-0.0017179378774017096,
0.009350885637104511,
0.0006081831525079906,
-0.0010296580148860812,
-0.0028304546140134335,
-0.041186317801475525,
-0.02527743950486183,
0.04076208174228668,
-0.012240998446941376,
-0.01492783147841692,
-0.012532660737633705,
-0.023244639858603477,
-0.006124918349087238,
0.00789699051529169,
-0.031994521617889404,
-0.01787981204688549,
0.010561727918684483,
-0.02358049340546131,
-0.03406267613172531,
0.03178240358829498,
-0.0021952043753117323,
0.03931260481476784,
-0.008524507284164429,
0.02665621042251587,
0.04306003078818321,
-0.0449690967798233,
-0.014362182468175888,
-0.01928509585559368,
0.02274969592690468,
-0.004087698180228472,
0.0030005911830812693,
0.009050384163856506,
0.0055681075900793076,
-0.02225475385785103,
0.003926399629563093,
-0.03705000877380371,
-0.026921357959508896,
-0.01138368621468544,
-0.016227055341005325,
-0.004103165119886398,
-0.015104596503078938,
-0.010243549942970276,
0.009271340444684029,
0.02218404784798622,
-0.0021300220396369696,
0.04051461070775986,
-0.04150449484586716,
-0.004662185441702604,
0.01767653226852417,
0.04511050879955292,
0.01778259128332138,
-0.03476973623037338,
-0.012249836698174477,
0.017924003303050995,
-0.014158901758491993,
-0.03275461494922638,
-0.016819220036268234,
0.03775707259774208,
0.02446432039141655,
0.005068745464086533,
-0.025843089446425438,
-0.023439081385731697,
-0.05310030281543732,
0.014538947492837906,
0.08718065172433853,
-0.019232066348195076,
0.054266951978206635,
0.008506830781698227,
0.021901221945881844,
-0.037297483533620834,
0.010199358686804771,
-0.00323480530641973,
-0.027327917516231537,
-0.00604537408798933,
-0.035300035029649734,
0.0008937696111388505,
-0.018595712259411812,
0.04599433392286301,
-0.0009473516256548464,
0.01847197487950325,
-0.011869790963828564,
0.0029033704195171595,
-0.025136027485132217,
-0.0020206484477967024,
0.024623408913612366,
-0.03508791700005531,
-0.015511156991124153,
0.04044390469789505,
-0.02405775897204876,
-0.043979212641716,
-0.003022687043994665,
-0.024287555366754532,
-0.020893661305308342,
0.006306102499365807,
-0.03443388268351555,
-0.041787322610616684,
-0.008113527670502663,
0.017703047022223473,
-0.03475205972790718,
0.021883545443415642,
0.004416923504322767,
0.04313073679804802,
-0.023545140400528908,
0.02865365706384182,
-0.01807425357401371,
0.04111561179161072,
0.013292752206325531,
0.008551022037863731,
-0.001626240904442966,
-0.0234744343906641,
-0.043767090886831284,
0.025189056992530823,
-0.024234525859355927,
-0.013372296467423439,
-0.013045280240476131,
0.0028856939170509577,
0.021636074408888817,
-0.05175688490271568,
-0.0009810475166887045,
0.020151246339082718,
0.011198082938790321,
0.04136308282613754,
0.013743503019213676,
-0.011312980204820633,
0.041610557585954666,
-0.002337721409276128,
-0.011003641411662102,
0.04323679581284523,
0.00245703780092299,
0.01836591586470604,
-0.030474340543150902,
-0.03512327000498772,
-0.005559269338846207,
0.005051068961620331,
0.023120904341340065,
0.00834332313388586,
0.036113154143095016,
0.04164591059088707,
-0.02646176889538765,
-0.011242274194955826,
0.043908506631851196,
-0.0018251019064337015,
0.02018659934401512,
-0.05285283178091049,
-0.005652070976793766,
0.028936482965946198,
-0.017393706366419792,
-0.02108810283243656,
0.012974574230611324,
-0.01988609880208969,
-0.019302772358059883,
0.025684000924229622,
0.060877975076436996,
0.053277067840099335,
0.0254718828946352,
-0.04542868584394455,
0.015192979015409946,
0.022431518882513046,
0.03202987462282181,
-0.026108236983418465,
-0.03945402055978775,
-0.08421099931001663,
0.010128652676939964,
-0.01257685199379921,
-0.029820309951901436,
-0.00047643776633776724,
-0.018737124279141426,
-0.00814888160675764,
0.03107534348964691,
-0.0030933930538594723,
0.008573117665946484,
-0.024800173938274384,
-0.016907602548599243,
-0.00504664983600378,
-0.028512245044112206,
0.024800173938274384,
0.003921980503946543,
-0.006429838482290506,
-0.014176578260958195,
0.0041053746826946735,
-0.014556623995304108,
0.01676619052886963,
0.019709333777427673,
0.005073164589703083,
-0.014247284270823002,
0.007318084128201008,
-0.03627224266529083,
-0.008020726032555103,
0.02448199689388275,
0.0004184366553090513,
-0.05066094174981117,
0.06561528891324997,
0.014698036015033722,
-0.0027685868553817272,
-0.029608190059661865,
-0.03567124158143997,
0.04829228296875954,
0.02407543547451496,
0.04104490578174591,
0.03204755112528801,
0.01127762719988823,
-0.027540037408471107,
-0.01727880910038948,
-0.04740845784544945,
0.009121090173721313,
0.03217128664255142,
0.025896118953824043,
-0.023792611435055733,
0.012249836698174477,
-0.04072672873735428,
0.011065509170293808,
-0.010305417701601982,
-0.04981246590614319,
0.03363844007253647,
-0.03438085317611694,
0.005855351220816374,
-0.025118350982666016
] |
There is a correlation between adjacent channels of electroencephalogram
(EEG), and how to represent this correlation is an issue that is currently
being explored. In addition, due to inter-individual differences in EEG
signals, this discrepancy results in new subjects need spend a amount of
calibration time for EEG-based motor imagery brain-computer interface. In order
to solve the above problems, we propose a Dynamic Domain Adaptation Based Deep
Learning Network (DADL-Net). First, the EEG data is mapped to the
three-dimensional geometric space and its temporal-spatial features are learned
through the 3D convolution module, and then the spatial-channel attention
mechanism is used to strengthen the features, and the final convolution module
can further learn the spatial-temporal information of the features. Finally, to
account for inter-subject and cross-sessions differences, we employ a dynamic
domain-adaptive strategy, the distance between features is reduced by
introducing a Maximum Mean Discrepancy loss function, and the classification
layer is fine-tuned by using part of the target domain data. We verify the
performance of the proposed method on BCI competition IV 2a and OpenBMI
datasets. Under the intra-subject experiment, the accuracy rates of 70.42% and
73.91% were achieved on the OpenBMI and BCIC IV 2a datasets. | [
0.03345287963747978,
-0.0013571125455200672,
-0.019477786496281624,
-0.0395844504237175,
0.010926775634288788,
0.015870464965701103,
-0.030273545533418655,
0.0408422090113163,
-0.03214271366596222,
0.00964281428605318,
0.017486335709691048,
-0.052231911569833755,
0.04272884875535965,
-0.04370710253715515,
0.03223005682229996,
0.011249950155615807,
0.004974259529262781,
0.035269640386104584,
0.012027314864099026,
-0.05093921348452568,
0.030972300097346306,
-0.024666039273142815,
-0.015582229010760784,
0.008660190738737583,
-0.011223746463656425,
0.03982901573181152,
0.08091578632593155,
0.00558130256831646,
-0.017433928325772285,
0.009843706153333187,
0.007957068271934986,
0.0009695221087895334,
-0.0209801085293293,
-0.01816762052476406,
-0.06540343910455704,
-0.026395456865429878,
-0.0035505471751093864,
0.0469912514090538,
-0.0009678843780420721,
0.02419438026845455,
0.0067822872661054134,
0.01497955247759819,
-0.025766577571630478,
0.0051227449439466,
0.012446567416191101,
-0.05268610268831253,
-0.06624194234609604,
-0.0461527444422245,
0.0027033069636672735,
-0.005144581198692322,
0.007018117234110832,
-0.044929925352334976,
-0.009852441027760506,
0.029242882505059242,
-0.011293621733784676,
0.04870320111513138,
0.07218135893344879,
0.020456042140722275,
0.03961938992142677,
0.03493773192167282,
0.03811706602573395,
0.019477786496281624,
-0.03766287490725517,
0.02405462972819805,
0.000497862696647644,
-0.03703399747610092,
0.05530643090605736,
-0.02981935441493988,
0.015713244676589966,
0.012333019636571407,
-0.06477455794811249,
0.0007871908019296825,
-0.05963870882987976,
0.01765228994190693,
-0.01326760370284319,
-0.004188160877674818,
0.0380471907556057,
0.04884295165538788,
-0.014053703285753727,
0.008433095179498196,
0.005371676292270422,
0.052511412650346756,
0.015800589695572853,
-0.0059394147247076035,
0.04898270219564438,
0.0046729217283427715,
0.0007571661844849586,
-0.05677381530404091,
0.02742611989378929,
-0.031321678310632706,
-0.04454560950398445,
-0.008009475655853748,
-0.0042645870707929134,
-0.04300834983587265,
-0.00028796333936043084,
-0.050554897636175156,
0.02581898495554924,
-0.007354392670094967,
-0.0755353793501854,
-0.06334210932254791,
-0.007354392670094967,
0.01094424445182085,
-0.03755806386470795,
-0.029784416779875755,
0.028264624997973442,
-0.00776927825063467,
-0.014900943264365196,
0.002415070775896311,
0.01508436631411314,
0.10760821402072906,
-0.057787008583545685,
0.03184574469923973,
-0.023320935666561127,
0.01851699873805046,
-0.040248267352581024,
0.020787950605154037,
-0.02560935728251934,
-0.07239098101854324,
0.00683906115591526,
-0.041296400129795074,
0.050135646015405655,
0.06868758052587509,
-0.028386907652020454,
0.03423897922039032,
-0.02512023039162159,
0.042624033987522125,
0.002526434836909175,
0.01414104737341404,
0.007306353189051151,
0.017390256747603416,
-0.02321612276136875,
-0.016874924302101135,
-0.03961938992142677,
-0.009896112605929375,
0.05687863007187843,
0.013101649470627308,
0.016822518780827522,
0.010193083435297012,
0.03829175606369972,
-0.02702433615922928,
0.024788321927189827,
-0.030919892713427544,
0.007546550128608942,
0.03801225498318672,
0.029766948893666267,
0.015302726998925209,
-0.0049218530766665936,
0.0886719673871994,
0.003932678606361151,
0.02665749005973339,
-0.057787008583545685,
0.05670394003391266,
-0.02139936201274395,
0.028666410595178604,
0.056179873645305634,
0.01937297359108925,
-0.009485593996942043,
-0.021643925458192825,
-0.030011512339115143,
-0.02421184815466404,
0.0949607565999031,
-0.010769556276500225,
0.02365284413099289,
0.027810435742139816,
0.030710266903042793,
0.047690004110336304,
-0.008660190738737583,
0.020054258406162262,
-0.05914958193898201,
0.050065770745277405,
-0.025574419647455215,
0.012857086025178432,
0.010149410925805569,
0.009529266506433487,
-0.026360519230365753,
0.015800589695572853,
0.06889721006155014,
-0.02279687114059925,
-0.0800074115395546,
-0.01844712346792221,
-0.02519010566174984,
0.025993673130869865,
0.0409819595515728,
0.05233672261238098,
0.025522014126181602,
0.023670313879847527,
0.06190966069698334,
0.0005972168873995543,
0.0190934706479311,
-0.044860050082206726,
0.052721038460731506,
0.01094424445182085,
0.0801471620798111,
-0.042344532907009125,
0.01746886596083641,
-0.015695776790380478,
-0.004982993938028812,
0.015783119946718216,
0.08105553686618805,
-0.009057607501745224,
-0.04562867805361748,
-0.02370525151491165,
-0.0036095045506954193,
0.010769556276500225,
-0.0409819595515728,
-0.010184349492192268,
-0.002345195272937417,
-0.026343051344156265,
0.023006496950984,
-0.052790913730859756,
0.0016671849880367517,
0.003004644997417927,
-0.0851781889796257,
0.002659634919837117,
-0.03373238071799278,
-0.007660097908228636,
0.02786284126341343,
-0.010586133226752281,
0.016735173761844635,
-0.01809774525463581,
0.02104998379945755,
0.005965617951005697,
0.029033256694674492,
0.015826793387532234,
-0.0374881885945797,
-0.0014881290262565017,
-0.011249950155615807,
-0.013258869759738445,
-0.0064722150564193726,
-0.0380471907556057,
0.017067082226276398,
0.024369068443775177,
0.04314810037612915,
-0.0194428488612175,
-0.012656193226575851,
-0.0213294867426157,
0.06061696633696556,
-0.05859057605266571,
-0.009948519058525562,
0.0009673384483903646,
-0.04744544252753258,
-0.052022285759449005,
-0.023548031225800514,
0.014586503617465496,
0.0034872223623096943,
-0.04779481887817383,
-0.0009394974913448095,
0.0787496492266655,
0.025714172050356865,
-0.0013669388135895133,
0.019879570230841637,
0.022360149770975113,
-0.01329380739480257,
0.006179611664265394,
-0.03853631764650345,
0.01221073791384697,
0.0432179756462574,
-0.0012981551699340343,
0.03198549523949623,
-0.020036790519952774,
0.043113160878419876,
-0.011040323413908482,
-0.013066711835563183,
-0.0211198590695858,
0.017032144591212273,
0.0001880632626125589,
0.06735994666814804,
0.04496486112475395,
0.027461057528853416,
-0.07064409554004669,
-0.036509931087493896,
-0.025032885372638702,
-0.053699295967817307,
-0.041575901210308075,
0.057926759123802185,
-0.00006199400377226993,
0.06494924426078796,
-0.06924658268690109,
0.0415409654378891,
-0.014586503617465496,
0.03172346204519272,
0.11920754611492157,
0.043811917304992676,
-0.043113160878419876,
-0.022779401391744614,
0.015503618866205215,
-0.0021017228718847036,
-0.0216089878231287,
-0.05450286343693733,
-0.008489868603646755,
-0.0178357120603323,
-0.029085662215948105,
-0.04831888526678085,
0.008306445553898811,
0.03755806386470795,
-0.036090679466724396,
-0.01702341064810753,
-0.04674668610095978,
0.02960972860455513,
-0.025452138856053352,
-0.011276152916252613,
-0.04688643664121628,
-0.00475153187289834,
0.007764911279082298,
-0.0051227449439466,
0.005917578469961882,
0.041575901210308075,
0.024596164003014565,
-0.008123022504150867,
-0.025382263585925102,
-0.044790174812078476,
0.004231832921504974,
-0.009992191568017006,
-0.06837314367294312,
-0.025312386453151703,
0.021871021017432213,
0.03696412220597267,
0.039270009845495224,
0.022971559315919876,
-0.01977475732564926,
-0.01979222521185875,
0.031269270926713943,
-0.0790291503071785,
0.06613712757825851,
-0.019687412306666374,
-0.032946281135082245,
0.019949445500969887,
0.06833820790052414,
0.007144766394048929,
0.004611780866980553,
-0.050904277712106705,
-0.00684342859312892,
-0.0464322455227375,
-0.013057977892458439,
-0.03229993209242821,
-0.0032186387106776237,
-0.029242882505059242,
0.03282399848103523,
-0.011145136319100857,
-0.021661395207047462,
0.005275597795844078,
-0.0017414275789633393,
-0.032946281135082245,
-0.0233558751642704,
-0.03492026403546333,
0.020595792680978775,
-0.025155168026685715,
0.0005955791566520929,
-0.002251300262287259,
-0.034832920879125595,
0.0008532449137419462,
0.005332371685653925,
-0.015259054489433765,
0.016577953472733498,
-0.020176541060209274,
-0.029295288026332855,
0.004773367661982775,
-0.03242221474647522,
-0.01109272986650467,
0.003930495120584965,
-0.04723581299185753,
-0.0014488240703940392,
-0.027408652007579803,
-0.02574910968542099,
-0.05921945720911026,
-0.04063258320093155,
-0.002594126621261239,
-0.026814710348844528,
0.020246416330337524,
0.02651773951947689,
-0.01035030372440815,
0.05058983713388443,
-0.05555099621415138,
-0.004655452910810709,
-0.042134907096624374,
0.04891282692551613,
-0.010402710177004337,
-0.0011529452167451382,
-0.020875295624136925,
0.06830326467752457,
-0.010044598020613194,
-0.015346399508416653,
-0.02828209474682808,
0.0017195915570482612,
0.0387459471821785,
0.020438574254512787,
0.04147109016776085,
0.0041772425174713135,
0.0014881290262565017,
0.05928933247923851,
0.0071578677743673325,
-0.059743523597717285,
-0.058415889739990234,
-0.01802786998450756,
0.01280467864125967,
-0.004485131241381168,
-0.00988737866282463,
0.04702618718147278,
0.05065971240401268,
-0.015302726998925209,
-0.014088640920817852,
0.008240937255322933,
-0.01653428189456463,
-0.06746476143598557,
-0.005406613927334547,
-0.010306631214916706,
-0.03479798138141632,
0.004133570473641157,
0.05555099621415138,
0.01665656454861164,
0.002345195272937417,
-0.03144396096467972,
-0.02477085217833519,
0.019058533012866974,
0.03584611415863037,
-0.014088640920817852,
-0.056529249995946884,
0.03773275017738342,
-0.05289572849869728,
-0.0429384745657444,
-0.02295408956706524,
0.011424638330936432,
0.06166509911417961,
-0.020525917410850525,
-0.013337479904294014,
0.0374881885945797,
0.017992932349443436,
-0.05296560376882553,
0.021626455709338188,
-0.01290949247777462,
0.0367894321680069,
-0.0001828771928558126,
0.040947023779153824,
-0.03156623989343643,
-0.025941265746951103,
0.013101649470627308,
0.008201632648706436,
-0.00590884406119585,
-0.04611780866980553,
-0.02293662168085575,
-0.02574910968542099,
-0.016927331686019897,
-0.01249023899435997,
-0.051672905683517456,
-0.043322790414094925,
-0.006900202017277479,
0.043113160878419876,
0.026762302964925766,
-0.01611502841114998,
-0.01774836890399456,
-0.053629420697689056,
0.005323636811226606,
-0.034343790262937546,
-0.020036790519952774,
-0.021940896287560463,
0.01656048558652401,
0.004991728346794844,
-0.0404229573905468,
0.03481544926762581,
-0.020857825875282288,
0.01616743579506874,
0.031688522547483444,
-0.005284332204610109,
-0.01942537911236286,
0.05680875480175018,
0.05170784518122673,
-0.025242511183023453,
-0.07469687610864639,
-0.006463480647653341,
0.04555880278348923,
0.0022469328250736,
-0.04370710253715515,
0.032946281135082245,
0.03612561523914337,
0.019547661766409874,
0.058066513389348984,
-0.005271230358630419,
-0.0393049493432045,
0.0207006074488163,
0.026255706325173378,
0.030081387609243393,
-0.017198098823428154,
0.041645776480436325,
-0.025172635912895203,
-0.01062980480492115,
0.034902796149253845,
-0.009005201049149036,
0.05684369057416916,
-0.05516668036580086,
-0.032736655324697495,
0.010236755944788456,
0.0038125801365822554,
0.013250134885311127,
0.008498603478074074,
-0.025731639936566353,
-0.04538411647081375,
-0.02737371437251568,
-0.010743352584540844,
0.08902134001255035,
0.031758397817611694,
-0.018779031932353973,
0.020718075335025787,
0.01725924015045166,
-0.021923426538705826,
0.0208403579890728,
0.016368327662348747,
-0.009703955613076687,
-0.01772216521203518,
-0.029435040429234505,
0.013940155506134033,
0.03474557399749756,
0.00342171429656446,
0.014490424655377865,
-0.053699295967817307,
0.01428079791367054,
0.0059743523597717285,
-0.03968926519155502,
-0.01266492810100317,
0.01928562857210636,
-0.015852997079491615,
-0.0026574512012302876,
0.052651163190603256,
0.015765652060508728,
0.051742780953645706,
-0.00729761878028512,
0.02688458561897278,
0.03682437166571617,
0.015189179219305515,
-0.009171155281364918,
0.0091624204069376,
-0.04230959340929985,
-0.006039860658347607,
-0.0050485022366046906,
-0.049995895475149155,
-0.0030068287160247564,
0.026430394500494003,
0.0009902663296088576,
-0.014298266731202602,
-0.002142119687050581,
-0.023390812799334526,
-0.03537445515394211,
0.056249748915433884,
-0.005236292723566294,
0.0007664465229026973,
0.009817502461373806,
-0.015302726998925209,
0.0007315087714232504,
-0.041296400129795074,
0.023198654875159264,
0.03829175606369972,
0.02791524864733219,
-0.017661023885011673,
-0.005559466779232025,
0.005424083210527897,
-0.018062807619571686,
-0.03588104993104935,
-0.024578694254159927,
-0.021766208112239838,
-0.03885075822472572,
-0.04541905224323273,
0.02716408669948578,
-0.0370689332485199,
-0.0015765652060508728,
0.00024934078101068735,
0.029015786945819855,
-0.012560115195810795,
-0.033645037561655045,
0.07476674765348434,
0.06323729455471039,
0.013931420631706715,
0.0027819168753921986,
-0.021626455709338188,
-0.00862962007522583,
-0.0034042452462017536,
0.01816762052476406,
0.009677751921117306,
0.06264335662126541,
-0.009529266506433487,
0.02877122350037098,
0.040877148509025574,
0.042693909257650375,
-0.0030221138149499893,
0.029662135988473892,
0.05680875480175018,
0.0006752808694727719,
-0.016962269321084023,
-0.015407539904117584,
-0.052721038460731506,
0.0004678380792029202,
0.006074798293411732,
0.03535698726773262,
0.052721038460731506,
0.030116325244307518,
-0.0013833158882334828,
-0.05565580725669861,
-0.038990508764982224,
-0.008048780262470245,
0.009800033643841743,
0.05017058551311493,
-0.052790913730859756,
-0.00012712694297078997,
0.02244749292731285,
0.011293621733784676,
0.03682437166571617,
0.01642073504626751,
0.008804308250546455,
0.030273545533418655,
-0.005031033419072628,
-0.008668924681842327,
0.017923057079315186,
-0.0007669923943467438,
0.02323359251022339,
0.050834402441978455,
0.03401188179850578,
0.009066341444849968,
0.013643184676766396,
0.04650212079286575,
0.023058904334902763,
0.0206307303160429,
-0.06197953596711159,
0.042065031826496124,
0.015206648036837578,
0.04975133016705513,
-0.040527768433094025,
0.02709421142935753,
-0.0015470865182578564,
-0.005380410701036453,
-0.02597620338201523,
-0.01252517756074667,
0.0051009091548621655,
0.015896668657660484,
0.03453594818711281,
-0.001972889993339777,
0.0035505471751093864,
0.01035030372440815,
0.018621811643242836,
0.008114288561046124,
-0.020857825875282288,
-0.006183978635817766,
0.02877122350037098,
-0.016962269321084023,
0.004102999810129404,
-0.07364874333143234,
0.01665656454861164,
0.0045462725684046745,
0.01476992666721344,
-0.005061604082584381,
0.018010402098298073,
0.04541905224323273,
0.02405462972819805,
0.012498973868787289,
-0.015425008721649647,
0.023251060396432877,
0.023548031225800514,
-0.01730291172862053,
-0.044231168925762177,
0.010027129203081131,
0.013835342600941658,
0.0014073355123400688,
0.00006161869532661512,
-0.006917671300470829,
-0.004659819882363081,
0.04465042054653168,
-0.024473881348967552,
0.047759879380464554,
0.0001817853917600587,
0.020805420354008675,
-0.012726069428026676,
0.04702618718147278,
0.036509931087493896,
0.015285258181393147,
-0.06596244126558304,
-0.049926020205020905,
-0.021381892263889313,
0.02525998093187809,
-0.014350674115121365,
0.02309384196996689,
0.025731639936566353,
0.005079072900116444,
-0.05408361181616783,
-0.008280242793262005,
-0.0014411815209314227,
-0.017826978117227554,
-0.04566361755132675,
0.07812076807022095,
-0.013477230444550514,
0.004707859363406897,
0.014787395484745502,
-0.050834402441978455,
0.025207573547959328,
0.025871390476822853,
-0.019617537036538124,
0.012865819968283176,
-0.0028605267871171236,
0.02386247180402279,
0.006013657432049513,
-0.052790913730859756,
0.009441922418773174,
0.03657980635762215,
0.024456413462758064,
-0.035601548850536346,
-0.011826422065496445,
0.013616980984807014,
0.03179333731532097,
0.04706112667918205,
0.02840437740087509,
0.015407539904117584,
-0.0027578973677009344,
-0.03158371150493622,
-0.04161084070801735,
-0.003522160230204463,
0.006961343344300985,
-0.00908381026238203,
0.025225043296813965,
0.004502600524574518,
0.007852255366742611,
-0.02581898495554924,
0.004273321479558945,
-0.0422397181391716,
0.0395844504237175,
-0.004288606811314821,
0.030535578727722168,
0.03320831432938576,
-0.03951457515358925,
0.013215197250247002,
0.06425049155950546,
-0.004869446624070406,
-0.028823629021644592,
-0.013573309406638145,
0.009267233312129974,
0.007258314173668623,
-0.02232521027326584,
-0.03871100768446922,
-0.006712411995977163,
0.04356735199689865,
-0.03247462213039398,
0.0011922501726076007,
0.049995895475149155,
-0.013101649470627308,
0.018482061102986336,
-0.023128779605031013,
-0.040947023779153824,
-0.006847795564681292,
0.007887193001806736,
-0.01400129683315754,
0.033505287021398544,
-0.03773275017738342,
0.04975133016705513,
-0.07092359662055969,
-0.0048083052970469,
0.025207573547959328,
-0.0017807325348258018,
0.03444860503077507,
-0.015363868325948715,
-0.013887749053537846,
-0.003941413015127182,
0.042204782366752625,
-0.04203009232878685,
0.0015350766479969025,
0.027059273794293404,
0.008529174141585827,
0.012717334553599358,
0.017573678866028786,
0.03277159482240677,
0.0453142374753952,
0.03537445515394211,
0.0001710038195597008,
0.004900016821920872,
0.008088084869086742,
-0.004413072485476732,
0.0213294867426157,
0.017241770401597023,
0.06655637919902802,
-0.012088455259799957,
-0.005913211032748222,
0.03212524577975273,
0.011066527105867863,
-0.005096541717648506,
-0.009459391236305237,
0.024334130808711052,
0.0043912362307310104,
0.0225173681974411,
0.03037835843861103,
0.028509190306067467,
-0.0034959567710757256,
-0.0384664423763752,
-0.02737371437251568,
-0.03137408569455147,
0.0033955108374357224,
0.008411259390413761,
-0.0409819595515728,
0.00002743157892837189,
0.041156649589538574,
-0.0021246508695185184,
0.025347325950860977,
0.002493680687621236,
-0.020822888240218163,
0.012699865736067295,
-0.0386061929166317,
-0.0437769778072834,
0.014088640920817852,
0.0009766188450157642,
-0.026046080514788628,
-0.004179426468908787,
-0.016595423221588135,
-0.046012993901968,
-0.02400222234427929,
-0.013188994489610195,
-0.026185831055045128,
0.007590222638100386,
0.011066527105867863,
-0.02181861363351345,
0.014036234468221664,
0.019338035956025124,
0.017276708036661148,
-0.0203512292355299,
-0.06924658268690109,
0.008157960139214993,
-0.004681656137108803,
-0.015590962953865528,
-0.026500269770622253,
-0.018848907202482224,
-0.006284424569457769,
0.009634079411625862,
-0.02532985620200634,
-0.03181080520153046,
0.049926020205020905,
0.0012632174184545875,
0.03376732021570206,
0.004445826634764671,
0.02870134823024273,
0.01116260513663292,
0.011346029117703438,
0.005917578469961882,
-0.026640020310878754,
0.033505287021398544,
0.010280427522957325,
-0.008393790572881699,
-0.001156220561824739,
0.041226524859666824,
0.07923877984285355,
-0.00008461482502752915,
-0.05569074675440788,
-0.026622552424669266,
0.0031225597485899925,
0.020525917410850525,
0.006507152691483498,
-0.0003430994402151555,
0.014036234468221664,
0.03137408569455147,
0.04618768393993378,
0.026220768690109253,
0.01907600276172161,
0.015066897496581078,
-0.032317403703927994,
0.02616836130619049,
0.028299562633037567,
0.03881582245230675,
0.00918862409889698,
-0.011660467833280563,
0.05156809464097023,
-0.007891559973359108,
0.011442107148468494,
-0.019128408282995224,
0.011215012520551682,
-0.06271322816610336,
0.0015252503799274564,
-0.03506001457571983,
0.01174781285226345,
0.014970818534493446,
-0.017713431268930435,
-0.02470097690820694,
0.00527996476739645,
0.05324510484933853,
-0.02735624462366104,
-0.01900612749159336,
-0.049856144934892654,
-0.021346954628825188,
0.002325542736798525,
-0.011695406399667263,
0.04653706029057503,
0.035199765115976334,
0.057297881692647934,
-0.015075631439685822,
0.05142834410071373,
0.028596533462405205,
-0.04622261971235275,
-0.017337849363684654,
-0.03993382677435875,
-0.01991450786590576,
0.013887749053537846,
0.0072801499627530575,
0.03416910395026207,
-0.01672643981873989,
0.021504174917936325,
0.013258869759738445,
-0.025207573547959328,
-0.034273914992809296,
0.021224671974778175,
-0.010262958705425262,
-0.005205722060054541,
-0.0358111746609211,
-0.0074067991226911545,
-0.00801384262740612,
-0.006882733199745417,
0.002162863966077566,
0.020508449524641037,
-0.006201447453349829,
0.03340047225356102,
-0.023687783628702164,
-0.028666410595178604,
-0.040108516812324524,
-0.026133423671126366,
-0.007192805875092745,
0.057996638119220734,
0.01970488205552101,
-0.04007358103990555,
-0.04737556725740433,
0.03207283839583397,
-0.019739819690585136,
0.020054258406162262,
0.03422150760889053,
-0.043183036148548126,
0.006162142381072044,
-0.015984011813998222,
-0.003251392859965563,
-0.005245027132332325,
-0.0036400749813765287,
0.0010694221127778292,
0.02491060271859169,
-0.01937297359108925,
0.04007358103990555,
0.016988473013043404,
0.033155906945466995,
0.03619549050927162,
-0.003330002538859844,
-0.014621441252529621,
0.01235048845410347,
-0.0039610653184354305,
0.03975914046168327,
-0.018621811643242836,
-0.012472770176827908,
-0.01109272986650467,
0.06173497438430786,
0.019198283553123474,
-0.031251803040504456,
0.05387398228049278,
-0.05502692982554436,
-0.0005379865178838372,
-0.018359778448939323,
-0.02737371437251568,
-0.03811706602573395,
-0.006581395398825407,
0.009441922418773174,
-0.013835342600941658,
-0.012935695238411427,
-0.024019692093133926,
0.006079165264964104,
-0.018971187993884087,
0.023041434586048126,
0.011669202707707882,
-0.007537815719842911,
-0.008144859224557877,
-0.0049218530766665936,
-0.05726294219493866,
0.008533541113138199,
-0.009031403809785843,
-0.0006081348983570933,
-0.047899629920721054,
-0.013328745029866695,
-0.00786099024116993,
-0.010647273622453213,
0.01935550384223461,
0.005629342049360275,
-0.018062807619571686,
0.02744358964264393,
-0.006620700471103191,
-0.019250690937042236,
-0.025504544377326965,
-0.029435040429234505,
0.026849647983908653,
0.014106109738349915,
0.02658761478960514,
-0.026343051344156265,
-0.017346585169434547,
-0.016927331686019897,
0.03271918743848801,
-0.011442107148468494,
-0.03261437267065048,
0.007891559973359108,
-0.02421184815466404,
-0.021032515913248062,
-0.019058533012866974,
-0.024805789813399315,
-0.0211198590695858,
0.010612335987389088,
-0.05733282119035721,
-0.03233487159013748,
0.015582229010760784,
0.03376732021570206,
-0.013975093141198158,
0.004044042434543371,
0.0030854386277496815,
0.020875295624136925,
-0.018901312723755836,
0.013250134885311127,
0.04674668610095978,
0.012761007063090801,
-0.005096541717648506,
0.01621110737323761,
0.04035308212041855,
-0.02274446375668049,
-0.015783119946718216,
0.026255706325173378,
-0.0055245291441679,
-0.005747256800532341,
-0.07588475197553635,
0.015189179219305515,
-0.0017599882557988167,
-0.020019320771098137,
0.023914877325296402,
0.00761205842718482,
-0.016857456415891647,
-0.09810515493154526
] |
Today's AI systems for medical decision support often succeed on benchmark
datasets in research papers but fail in real-world deployment. This work
focuses on the decision making of sepsis, an acute life-threatening systematic
infection that requires an early diagnosis with high uncertainty from the
clinician. Our aim is to explore the design requirements for AI systems that
can support clinical experts in making better decisions for the early diagnosis
of sepsis. The study begins with a formative study investigating why clinical
experts abandon an existing AI-powered Sepsis predictive module in their
electrical health record (EHR) system. We argue that a human-centered AI system
needs to support human experts in the intermediate stages of a medical
decision-making process (e.g., generating hypotheses or gathering data),
instead of focusing only on the final decision. Therefore, we build SepsisLab
based on a state-of-the-art AI algorithm and extend it to predict the future
projection of sepsis development, visualize the prediction uncertainty, and
propose actionable suggestions (i.e., which additional laboratory tests can be
collected) to reduce such uncertainty. Through heuristic evaluation with six
clinicians using our prototype system, we demonstrate that SepsisLab enables a
promising human-AI collaboration paradigm for the future of AI-assisted sepsis
diagnosis and other high-stakes medical decision making. | [
-0.012094486504793167,
0.030745364725589752,
-0.02452840469777584,
-0.040910448879003525,
0.08246403187513351,
0.012603634037077427,
-0.014184671454131603,
-0.012469648383557796,
0.016292721033096313,
0.00010656088852556422,
-0.01121911033987999,
-0.043304335325956345,
0.012148081324994564,
-0.0025479707401245832,
-0.013979225419461727,
0.01048665214329958,
0.002267716219648719,
0.014363319613039494,
0.000016146383131854236,
-0.033764518797397614,
0.012353526428341866,
0.00864657573401928,
-0.015426276251673698,
-0.01578357256948948,
0.052272479981184006,
0.0010970119619742036,
0.014533035457134247,
-0.018561553210020065,
-0.09439773857593536,
0.06102624535560608,
0.04041023552417755,
0.011942636221647263,
0.017141299322247505,
-0.0643133744597435,
-0.0036511237267404795,
-0.017855893820524216,
0.00468058418482542,
0.08346446603536606,
0.012603634037077427,
0.04362590238451958,
-0.025260863825678825,
-0.055773984640836716,
0.01024547778069973,
-0.021741492673754692,
0.001228206790983677,
-0.021312735974788666,
-0.06581401824951172,
-0.01941906474530697,
-0.005989182740449905,
-0.015801437199115753,
0.011647866107523441,
-0.0007051023421809077,
0.05095048248767853,
-0.02106262929737568,
-0.014113212004303932,
0.04005293920636177,
0.044769253581762314,
0.014917129650712013,
0.07789064198732376,
0.008860953152179718,
-0.03274622559547424,
0.03898105025291443,
0.006225891876965761,
0.019276145845651627,
0.020955439656972885,
-0.06427764147520065,
-0.026547130197286606,
0.038337916135787964,
-0.03424686938524246,
0.0027578824665397406,
-0.010075761936604977,
-0.0486995130777359,
0.0018914383836090565,
0.032085224986076355,
0.0007693040533922613,
-0.012907336466014385,
0.05866808816790581,
0.05484501272439957,
-0.030620310455560684,
-0.04798492044210434,
0.09139644354581833,
0.009209317155182362,
-0.021616438403725624,
0.027297453954815865,
0.08289279043674469,
-0.039266884326934814,
-0.01702517829835415,
-0.07331724464893341,
-0.002369322581216693,
0.01093327347189188,
-0.049128271639347076,
0.03912396728992462,
0.0266543198376894,
-0.01437225192785263,
-0.01799881085753441,
0.0207053329795599,
-0.037230297923088074,
0.006547458469867706,
0.0004008420219179243,
-0.051200591027736664,
0.01779336668550968,
-0.012844809330999851,
0.0017261886969208717,
-0.006270553916692734,
0.001434768782928586,
-0.05663149803876877,
0.0017920653335750103,
0.018615148961544037,
-0.007471963297575712,
0.15163664519786835,
-0.006614451762288809,
-0.03883812949061394,
-0.04430476576089859,
-0.05291561409831047,
-0.056702956557273865,
-0.05127204954624176,
-0.048235028982162476,
-0.03522943705320358,
0.008834156207740307,
-0.014086415059864521,
0.011335231363773346,
0.06041884049773216,
-0.01144242100417614,
0.044376228004693985,
-0.027797669172286987,
0.07324578613042831,
0.03131704032421112,
-0.032978467643260956,
0.03619413450360298,
0.032353200018405914,
0.04648427665233612,
0.03349654749035835,
-0.03428259864449501,
0.02075892686843872,
0.051736533641815186,
0.059275489300489426,
0.0505574569106102,
0.05334436893463135,
-0.0007899602642282844,
-0.006011513527482748,
-0.0007201757980510592,
0.003898998023942113,
-0.03808780759572983,
-0.02354584075510502,
0.056345660239458084,
-0.006435803137719631,
0.007195058278739452,
0.07145930081605911,
-0.08317862451076508,
0.03844510391354561,
-0.046913031488657,
0.022456085309386253,
-0.01645350456237793,
-0.023224273696541786,
0.06692163646221161,
-0.06856519728899002,
0.022920571267604828,
0.0008368554408662021,
0.001375591498799622,
0.0061410339549183846,
0.010263342410326004,
-0.04798492044210434,
-0.006944950670003891,
0.04012439772486687,
0.029459096491336823,
0.013568335212767124,
-0.05648857727646828,
-0.03983855992555618,
-0.005864128936082125,
0.054666366428136826,
-0.03317498043179512,
-0.02177722193300724,
0.002996824448928237,
0.020508820191025734,
-0.0012829178012907505,
0.04962848499417305,
0.048985350877046585,
0.015810370445251465,
-0.03798061981797218,
0.04351871460676193,
-0.052844151854515076,
0.016730409115552902,
-0.018472230061888695,
-0.01805240660905838,
0.03524729982018471,
-0.019579848274588585,
0.08396467566490173,
0.006261621136218309,
0.05434479936957359,
0.02138419635593891,
-0.0018847390310838819,
-0.021705763414502144,
0.04341152682900429,
0.0033764520194381475,
-0.021920140832662582,
-0.032174549996852875,
0.007646145299077034,
-0.009057466872036457,
-0.01465808879584074,
-0.035497408360242844,
-0.05895392224192619,
-0.042160987854003906,
0.021098358556628227,
0.04812784120440483,
0.0007162678521126509,
-0.014068550430238247,
0.02799418196082115,
-0.03460416570305824,
-0.0007402736810036004,
-0.053594477474689484,
0.003702485002577305,
0.0018601749325171113,
-0.027779802680015564,
-0.03476494923233986,
-0.005404109600931406,
-0.010540246963500977,
-0.02336719073355198,
0.01190690603107214,
-0.0045287334360182285,
0.044554874300956726,
0.009307574480772018,
0.031459957361221313,
0.03512224555015564,
-0.018213190138339996,
0.013952428475022316,
0.035729650408029556,
-0.00018576627189759165,
0.0006554157589562237,
0.05684587359428406,
-0.021741492673754692,
0.02049095556139946,
-0.00951301958411932,
0.04905680939555168,
-0.006489397957921028,
0.04844940826296806,
-0.05091475322842598,
0.031960174441337585,
-0.0008742599165998399,
0.0002033519558608532,
-0.02745823748409748,
0.0339788980782032,
0.029548421502113342,
-0.026993751525878906,
-0.02359943464398384,
0.04941410571336746,
-0.0051272050477564335,
0.00204663909971714,
0.07313859462738037,
0.031334903091192245,
0.020455224439501762,
-0.01168359536677599,
0.020991168916225433,
-0.05084329470992088,
0.009941775351762772,
-0.02976279892027378,
0.007029808592051268,
0.042554013431072235,
-0.005457703955471516,
0.026493536308407784,
0.026225563138723373,
0.06927978992462158,
0.0025033087003976107,
0.027083074674010277,
0.03303206339478493,
-0.02447481080889702,
-0.030852552503347397,
0.058525167405605316,
0.07846231013536453,
0.07324578613042831,
0.016069410368800163,
-0.00007062188524287194,
-0.024153243750333786,
-0.00862424448132515,
-0.016614288091659546,
-0.005480035208165646,
-0.0449836291372776,
-0.009432627819478512,
0.027386777102947235,
-0.0008323892252519727,
0.0262076985090971,
-0.020473089069128036,
-0.00234029209241271,
0.028458666056394577,
-0.004961955361068249,
-0.07374599575996399,
-0.051772262901067734,
0.00922718271613121,
-0.007646145299077034,
-0.06338439881801605,
0.024331891909241676,
0.01088861096650362,
-0.037587594240903854,
0.01549773570150137,
-0.0023358259350061417,
0.07624707370996475,
0.05280842259526253,
-0.01808813586831093,
0.03335363045334816,
0.004667185712605715,
0.02754756063222885,
-0.0075791520066559315,
-0.016971584409475327,
0.043840281665325165,
0.015051115304231644,
0.03578324615955353,
0.014863534830510616,
0.02488570101559162,
0.0460197888314724,
-0.017596853896975517,
0.022563274949789047,
0.010254410095512867,
0.021277006715536118,
-0.015301222912967205,
-0.040195856243371964,
0.07038741558790207,
0.05423761159181595,
0.012532174587249756,
-0.018507959321141243,
0.0023246603086590767,
0.00021619230392389,
0.00468058418482542,
0.0034255802165716887,
-0.08110630512237549,
0.021491384133696556,
-0.024296162649989128,
-0.032889142632484436,
-0.035640325397253036,
0.019151093438267708,
-0.021562844514846802,
-0.014220400713384151,
-0.026100510731339455,
-0.01725742220878601,
-0.038695212453603745,
0.03171006590127945,
0.005855196621268988,
-0.04083899036049843,
-0.03569392114877701,
0.000854720245115459,
-0.010584909468889236,
0.002160527277737856,
-0.0008563950541429222,
-0.0020310073159635067,
-0.0724954605102539,
-0.05141496658325195,
0.0312991738319397,
0.011889041401445866,
-0.009986436925828457,
0.028047775849699974,
-0.042160987854003906,
-0.009932843036949635,
0.0009619091870263219,
-0.01778443343937397,
-0.00399278849363327,
-0.006560856942087412,
-0.017686177045106888,
-0.033639464527368546,
-0.01606047712266445,
-0.001169029506854713,
-0.004443875513970852,
-0.01434545498341322,
0.023081354796886444,
-0.08510802686214447,
-0.0316743366420269,
0.034747086465358734,
-0.017141299322247505,
0.020330172032117844,
0.005448771640658379,
0.011880109086632729,
0.013085984624922276,
-0.02327786758542061,
-0.02701161615550518,
0.029923582449555397,
0.055023662745952606,
0.03138849884271622,
0.011228042654693127,
0.00740497000515461,
0.015855032950639725,
0.01818639226257801,
-0.04830648750066757,
0.03508651629090309,
-0.028012046590447426,
-0.00495748920366168,
-0.06013300269842148,
0.013961360789835453,
-0.013845239765942097,
0.04894962161779404,
0.026225563138723373,
0.014336522668600082,
0.024135379120707512,
0.0698871985077858,
0.014667022041976452,
-0.03304992616176605,
0.0001804626517696306,
-0.07317432761192322,
0.013228903524577618,
-0.014684886671602726,
0.06088332459330559,
-0.029334044083952904,
0.06688590347766876,
-0.03617627173662186,
-0.009941775351762772,
0.012282067909836769,
0.008923480287194252,
-0.017275286838412285,
-0.022009463980793953,
-0.004334453027695417,
-0.008570649661123753,
-0.013068119995296001,
-0.018525823950767517,
-0.020508820191025734,
0.01503325067460537,
0.03983855992555618,
0.03472921997308731,
0.0021448954939842224,
0.013077052310109138,
0.05059318616986275,
0.004522033967077732,
-0.030763229355216026,
0.0008005675044842064,
-0.0037315154913812876,
-0.029334044083952904,
0.05073610320687294,
0.07774771749973297,
-0.04173223301768303,
-0.022241707891225815,
0.012791214510798454,
-0.02635061740875244,
-0.009262911975383759,
-0.00012505377526395023,
-0.052093829959630966,
0.0031196451745927334,
0.00006943555490579456,
-0.03912396728992462,
-0.06338439881801605,
0.028137100860476494,
0.003371985862031579,
0.0014090881450101733,
0.03991001844406128,
-0.03698018938302994,
-0.01929401233792305,
-0.022241707891225815,
-0.027386777102947235,
0.01313064619898796,
0.0027444837614893913,
-0.05673868581652641,
-0.05259404703974724,
0.05845370888710022,
0.022599004209041595,
-0.053594477474689484,
-0.015167236328125,
-0.09032455831766129,
0.046627193689346313,
-0.030834687873721123,
0.012978795915842056,
-0.014434779062867165,
0.0004628106253221631,
-0.02558242902159691,
-0.016444571316242218,
-0.017954150214791298,
-0.05463063716888428,
-0.04909253865480423,
0.05480928346514702,
0.010718895122408867,
0.020526684820652008,
0.019436929374933243,
0.0363549180328846,
-0.030941877514123917,
-0.05766765773296356,
0.03015582449734211,
0.036694351583719254,
0.035461679100990295,
0.0009278543875552714,
-0.020383765920996666,
-0.025296593084931374,
0.02124127745628357,
-0.020562414079904556,
-0.015176169574260712,
0.03983855992555618,
0.002221937756985426,
0.02004433423280716,
0.025886131450533867,
0.02545737661421299,
-0.01707877218723297,
-0.00851705577224493,
0.010504517704248428,
0.032353200018405914,
0.005220995284616947,
0.026225563138723373,
-0.005529163405299187,
-0.037944890558719635,
-0.0014470508322119713,
-0.045876871794462204,
0.0201872531324625,
-0.014032820239663124,
0.00037320738192647696,
-0.012782282195985317,
-0.05105767026543617,
0.01947266049683094,
0.045305196195840836,
0.0001485013635829091,
0.0018947880016639829,
0.0009713998879306018,
-0.004450574517250061,
-0.017051976174116135,
-0.017945216968655586,
0.023885272443294525,
-0.014282927848398685,
-0.019812092185020447,
-0.025743212550878525,
0.06406326591968536,
0.009968572296202183,
-0.025653889402747154,
0.040374506264925,
-0.006904754787683487,
0.01857941783964634,
0.09668443351984024,
0.01738247461616993,
0.03755186125636101,
0.027797669172286987,
0.02581467293202877,
0.023402921855449677,
-0.02470705285668373,
-0.04212525859475136,
0.05287988483905792,
-0.08553678542375565,
-0.003921329043805599,
-0.00024047729675658047,
0.00782926008105278,
0.04834221675992012,
-0.020955439656972885,
-0.028369342908263206,
0.03560459613800049,
-0.015515601262450218,
0.022902706637978554,
0.008231217972934246,
-0.009200384840369225,
0.02710093930363655,
0.04626989737153053,
0.04491217061877251,
-0.04848513752222061,
-0.05016443133354187,
0.04580541327595711,
0.03958845138549805,
-0.008155292831361294,
-0.05216528847813606,
0.03655143454670906,
0.0679577961564064,
0.010218679904937744,
-0.051915183663368225,
0.00259486585855484,
0.009035135619342327,
0.021670032292604446,
0.009879248216748238,
-0.01361299678683281,
0.014979655854403973,
-0.02865518070757389,
0.02079465612769127,
0.011362029239535332,
0.01645350456237793,
-0.029816392809152603,
0.006770768668502569,
-0.008865419775247574,
-0.001346561242826283,
-0.00778459757566452,
-0.015721045434474945,
-0.01015615276992321,
-0.01947266049683094,
0.026672184467315674,
-0.01208555418998003,
0.012898404151201248,
0.005350515246391296,
-0.04062461107969284,
-0.030316608026623726,
-0.00010621196997817606,
-0.011183381080627441,
0.03599762171506882,
0.03247825428843498,
-0.048056378960609436,
-0.010227612219750881,
-0.02115195244550705,
0.01840076968073845,
0.018883120268583298,
-0.02829788252711296,
0.015345885418355465,
-0.01088861096650362,
-0.00979885645210743,
0.012550040148198605,
-0.06263408064842224,
-0.005185265559703112,
-0.0045086354948580265,
0.03765905275940895,
0.006534059997648001,
-0.007413902319967747,
0.007936448790133,
0.0006743971607647836,
-0.0066055189818143845,
0.009370100684463978,
0.022420356050133705,
0.002300096210092306,
-0.030298743396997452,
0.0070119439624249935,
0.054523445665836334,
0.026225563138723373,
0.05091475322842598,
-0.021491384133696556,
0.006467066705226898,
-0.010781422257423401,
0.015622789971530437,
0.00518973171710968,
0.004015119280666113,
0.041625041514635086,
-0.03099547140300274,
0.025314457714557648,
-0.028154965490102768,
0.015408411622047424,
-0.04001720994710922,
0.049521297216415405,
-0.04316141828894615,
-0.006953883450478315,
0.01684653013944626,
0.021080493927001953,
-0.05287988483905792,
0.05681014433503151,
0.039767101407051086,
0.01982995681464672,
0.05398750305175781,
-0.003177705919370055,
-0.05095048248767853,
-0.013604064472019672,
-0.020991168916225433,
-0.05438052862882614,
0.0022465018555521965,
0.01223740540444851,
-0.022384626790881157,
0.03855229169130325,
-0.006542992312461138,
0.009280776605010033,
0.046984490007162094,
0.05077183246612549,
-0.03472921997308731,
-0.04730605706572533,
0.011656798422336578,
-0.007199524436146021,
0.04591260105371475,
-0.012094486504793167,
0.04830648750066757,
0.006904754787683487,
0.005850730463862419,
0.036694351583719254,
0.027118805795907974,
0.017150232568383217,
0.04376882314682007,
-0.015810370445251465,
0.04487644135951996,
-0.00666357995942235,
-0.01488139946013689,
0.008106164634227753,
0.04794919118285179,
0.04812784120440483,
-0.0025479707401245832,
0.059061113744974136,
0.022473949939012527,
0.030477391555905342,
0.010227612219750881,
0.0440903902053833,
0.017936285585165024,
0.018204256892204285,
0.02318854257464409,
-0.020919710397720337,
0.05648857727646828,
-0.0013476777821779251,
-0.029816392809152603,
-0.08625137805938721,
0.04637708514928818,
0.01162106916308403,
-0.021884411573410034,
0.0243854857981205,
0.010316936299204826,
-0.012344594113528728,
-0.03294273838400841,
-0.058560896664857864,
-0.010334801860153675,
-0.015417343936860561,
0.014220400713384151,
-0.00021689014101866633,
-0.00816422514617443,
-0.009146790951490402,
0.08510802686214447,
0.008499190211296082,
-0.001945032854564488,
-0.04355444386601448,
0.05162934586405754,
0.015622789971530437,
-0.023795947432518005,
0.016283787786960602,
0.020097928121685982,
-0.043482985347509384,
-0.013738051056861877,
0.012335661798715591,
0.010236544534564018,
-0.03883812949061394,
0.014282927848398685,
-0.024242568761110306,
0.020258711650967598,
-0.0007263168226927519,
0.015872897580266,
0.02318854257464409,
-0.015095777809619904,
-0.008744832128286362,
0.014899264089763165,
-0.022831246256828308,
0.008124029263854027,
0.016382044181227684,
-0.024599865078926086,
0.05298707261681557,
0.04376882314682007,
0.027797669172286987,
-0.023670893162488937,
-0.013184241019189358,
0.03349654749035835,
0.004077646415680647,
-0.014729548245668411,
-0.05259404703974724,
-0.02892315201461315,
-0.03204949572682381,
-0.008548319339752197,
-0.01693585515022278,
-0.01459556259214878,
-0.00847239326685667,
0.003262563841417432,
0.06967281550168991,
-0.021437790244817734,
-0.04680584371089935,
0.017141299322247505,
0.027619019150733948,
-0.010450922884047031,
0.019436929374933243,
0.025493105873465538,
0.029512692242860794,
0.024367621168494225,
-0.012380324304103851,
-0.016426706686615944,
0.026136239990592003,
-0.023938866332173347,
0.018284648656845093,
0.011647866107523441,
-0.021277006715536118,
-0.00171055702958256,
-0.020383765920996666,
0.009057466872036457,
0.03631918877363205,
-0.010334801860153675,
0.0698871985077858,
-0.019258281216025352,
-0.04280412197113037,
0.02129487134516239,
0.004396980162709951,
0.011388826183974743,
0.019168958067893982,
0.010031099431216717,
-0.01715916395187378,
0.03773051127791405,
0.010736759752035141,
0.0239031370729208,
0.02820855937898159,
0.00778459757566452,
0.033764518797397614,
-0.0335322767496109,
0.00717272749170661,
0.023402921855449677,
0.013246768154203892,
0.03619413450360298,
0.025600295513868332,
-0.09575546532869339,
0.029691340401768684,
-0.04212525859475136,
0.004671651870012283,
-0.007713138125836849,
-0.01822212152183056,
-0.0000685283521306701,
-0.014157874509692192,
-0.017730839550495148,
-0.040696073323488235,
-0.011933702975511551,
-0.02417110837996006,
0.02590399608016014,
-0.014282927848398685,
-0.03898105025291443,
-0.000943486113101244,
0.035944029688835144,
-0.023224273696541786,
-0.011299502104520798,
0.01002216711640358,
-0.017927352339029312,
0.010120423510670662,
-0.03458630293607712,
-0.004312122240662575,
-0.035015057772397995,
-0.0048011718317866325,
-0.02190227620303631,
0.03394316881895065,
-0.004845833871513605,
0.018954580649733543,
0.0176951102912426,
-0.06302710622549057,
-0.015176169574260712,
-0.016971584409475327,
-0.011406690813601017,
0.01106725912541151,
-0.001827794942073524,
0.016346314921975136,
0.018615148961544037,
0.012603634037077427,
0.02731531858444214,
0.044733524322509766,
-0.012558972463011742,
-0.031245579943060875,
0.06542099267244339,
-0.034622032195329666,
-0.035461679100990295,
0.006730572786182165,
-0.02372448891401291,
-0.0028918685857206583,
-0.0025770009960979223,
0.005551494657993317,
-0.01053131464868784,
-0.012424985878169537,
0.008383069187402725,
0.012800147756934166,
-0.023617299273610115,
0.03063817508518696,
-0.024367621168494225,
0.008561717346310616,
0.003251398215070367,
-0.05148642510175705,
0.02997717633843422,
-0.000874818186275661,
-0.012719755992293358,
-0.013362889178097248,
0.01703411154448986,
-0.03622986748814583,
-0.008700169622898102,
-0.06006154417991638,
-0.002172809327021241,
0.034836407750844955,
0.0029320644680410624,
-0.03876667097210884,
0.00526565732434392,
0.003606461687013507,
0.022188114002346992,
0.022063059732317924,
-0.07560393959283829,
-0.024939296767115593,
-0.005220995284616947,
0.005591690540313721,
0.01179971732199192,
0.04555530473589897,
0.029030341655015945,
-0.006712708156555891,
0.011183381080627441,
0.02186654694378376,
0.01412214431911707,
-0.019615577533841133,
0.015042182989418507,
0.02652926556766033,
-0.039052508771419525,
-0.023402921855449677,
0.018615148961544037,
0.019579848274588585,
-0.018650878220796585,
-0.01627485640347004,
0.013586199842393398,
0.016971584409475327,
-0.016828665509819984,
-0.012746552936732769,
0.038695212453603745,
0.004613591358065605,
0.054702095687389374,
-0.01672147586941719,
-0.0013108315179124475,
-0.0012840343406423926,
-0.0034925732761621475,
0.02501075528562069,
-0.0036243265494704247,
0.012746552936732769,
-0.022777652367949486,
-0.0009228299022652209,
-0.00684222811833024,
-0.006377742625772953,
-0.03060244582593441,
0.007382639218121767,
0.0003438978746999055,
0.02661859057843685,
-0.0348721407353878,
0.018204256892204285,
0.025117944926023483,
-0.0017920653335750103,
0.030888283625245094,
-0.01372911874204874,
0.0028851693496108055,
0.016757206991314888,
-0.0059981150552630424,
-0.009396898560225964,
-0.027172399684786797,
0.011647866107523441,
-0.023617299273610115,
-0.0009719581576064229,
-0.055059392005205154,
0.020866116508841515,
-0.04655573517084122,
-0.01818639226257801,
-0.020026469603180885,
-0.014506238512694836,
0.0004374090931378305,
0.02785126306116581,
-0.03265690058469772,
-0.02354584075510502,
0.010182950645685196,
0.011031529866158962,
-0.00871803518384695,
0.017409272491931915,
0.05295134335756302,
-0.003959292080253363,
0.0183650404214859,
0.0036109278444200754,
-0.010057896375656128,
0.02084825187921524,
0.017543258145451546,
-0.0034970396663993597,
-0.011656798422336578,
-0.022920571267604828,
0.03615840524435043,
0.01632845029234886,
-0.012791214510798454,
0.022063059732317924,
0.006516194902360439,
-0.0330856554210186,
0.02420683763921261,
0.02138419635593891,
-0.009450492449104786,
-0.008043637499213219,
0.040374506264925,
-0.02479637786746025,
0.05548814684152603,
-0.002297863131389022,
-0.015131507068872452,
0.011022597551345825,
0.030352339148521423,
0.01219274289906025,
-0.02652926556766033,
-0.025689618661999702,
-0.018293581902980804,
0.014238266274333,
0.008986007422208786,
-0.009066399186849594,
0.0037717113737016916,
-0.001031693653203547,
-0.005667615681886673,
-0.009923910722136497,
0.01230886485427618,
-0.07313859462738037,
0.003144209273159504,
-0.03024514950811863,
-0.0026596258394420147,
0.005413041915744543,
0.011076191440224648,
-0.0015687550185248256,
-0.027922721579670906,
-0.029637744650244713,
-0.009709532372653484,
0.024188973009586334,
-0.0395527221262455,
-0.02501075528562069,
-0.008798426948487759,
-0.01941906474530697,
-0.03424686938524246,
-0.002554669976234436,
-0.008990473113954067,
-0.02869090996682644,
0.003311692038550973,
0.013228903524577618,
-0.03369306027889252,
0.004899428226053715,
-0.005395177286118269,
-0.018954580649733543,
-0.018954580649733543,
-0.013237835839390755,
-0.009191452525556087,
-0.024063920602202415,
0.02177722193300724,
0.013550469651818275,
0.010906475596129894,
0.013827375136315823,
-0.04794919118285179,
-0.05445198714733124,
-0.01313064619898796,
-0.00033747771522030234,
0.005122738890349865,
0.03204949572682381,
0.010263342410326004,
0.03787342831492424,
-0.03322857618331909,
-0.005158468149602413,
0.031191984191536903,
-0.04151785373687744,
0.03179939091205597,
0.05795349180698395,
-0.016042612493038177,
-0.01808813586831093,
0.025332322344183922,
0.019276145845651627,
-0.006551924627274275,
0.00889668334275484,
0.010343734174966812,
-0.06545671820640564,
0.03798061981797218,
-0.06874384731054306,
-0.012567904777824879,
0.015587059780955315,
-0.050664644688367844,
0.00869570393115282,
0.027654750272631645,
0.0002496888628229499,
0.012576837092638016
] |
The rising usage of AI and ML-based processing across application domains has
exacerbated the need for low-cost ML implementation, specifically for
resource-constrained embedded systems. To this end, approximate computing, an
approach that explores the power, performance, area (PPA), and behavioral
accuracy (BEHAV) trade-offs, has emerged as a possible solution for
implementing embedded machine learning. Due to the predominance of MAC
operations in ML, designing platform-specific approximate arithmetic operators
forms one of the major research problems in approximate computing. Recently
there has been a rising usage of AI/ML-based design space exploration
techniques for implementing approximate operators. However, most of these
approaches are limited to using ML-based surrogate functions for predicting the
PPA and BEHAV impact of a set of related design decisions. While this approach
leverages the regression capabilities of ML methods, it does not exploit the
more advanced approaches in ML. To this end, we propose AxOCS, a methodology
for designing approximate arithmetic operators through ML-based supersampling.
Specifically, we present a method to leverage the correlation of PPA and BEHAV
metrics across operators of varying bit-widths for generating larger bit-width
operators. The proposed approach involves traversing the relatively smaller
design space of smaller bit-width operators and employing its associated
Design-PPA-BEHAV relationship to generate initial solutions for
metaheuristics-based optimization for larger operators. The experimental
evaluation of AxOCS for FPGA-optimized approximate operators shows that the
proposed approach significantly improves the quality-resulting hypervolume for
multi-objective optimization-of 8x8 signed approximate multipliers. | [
0.006361703388392925,
0.036322422325611115,
-0.04026439040899277,
0.0013616508804261684,
0.05979825183749199,
0.05219588428735733,
-0.019305085763335228,
0.02722422033548355,
-0.029300792142748833,
0.01655098795890808,
0.034087467938661575,
-0.02222636714577675,
0.0630011036992073,
-0.018724350258708,
-0.06099492311477661,
0.01231865119189024,
0.017835646867752075,
0.0016344210598617792,
0.03150055184960365,
-0.025376422330737114,
0.012353847734630108,
-0.02176881581544876,
-0.004307128489017487,
-0.0013176557840779424,
-0.02249033749103546,
0.020272981375455856,
-0.01316335890442133,
-0.008103912696242332,
-0.048324309289455414,
0.021962394937872887,
0.05075284466147423,
0.03787105530500412,
-0.034615408629179,
0.015310323797166348,
-0.00946776382625103,
-0.043009690940380096,
0.03663918748497963,
-0.010426858440041542,
-0.005253024864941835,
0.02843848615884781,
0.03151815012097359,
-0.025077253580093384,
-0.0005587388295680285,
0.05599706992506981,
0.017527680844068527,
-0.02991672419011593,
0.005015450995415449,
-0.002036977093666792,
-0.018407585099339485,
0.00288388435728848,
0.031975697726011276,
-0.046177346259355545,
0.04441753774881363,
-0.028790447860956192,
-0.048289112746715546,
0.028121720999479294,
0.06613355875015259,
0.05613785237073898,
0.0536741241812706,
-0.0014870371669530869,
0.01157953217625618,
-0.032310061156749725,
-0.034298643469810486,
-0.004302728921175003,
-0.0310605987906456,
-0.058601584285497665,
0.03646320849657059,
0.04962656646966934,
-0.008455874398350716,
0.0032996388617902994,
-0.12417200207710266,
-0.058003250509500504,
0.01379688922315836,
0.004190541338175535,
-0.002839889144524932,
0.03832860291004181,
0.0481131337583065,
-0.010638034902513027,
-0.026062747463583946,
0.047233227640390396,
0.038645368069410324,
0.04737401381134987,
0.03424585238099098,
-0.02586916834115982,
0.058179229497909546,
-0.02146964892745018,
0.007285602390766144,
-0.07553093135356903,
-0.008425077423453331,
-0.03500256687402725,
-0.07032190263271332,
0.032609228044748306,
0.03491457924246788,
0.06571120768785477,
0.01206347905099392,
0.015169539488852024,
0.009168596006929874,
-0.007646362762898207,
-0.04117949306964874,
0.004509506281465292,
-0.0303918719291687,
0.040721941739320755,
-0.001214267103932798,
0.02412695810198784,
0.023986173793673515,
-0.025763578712940216,
-0.018266800791025162,
-0.026819463819265366,
-0.0026287122163921595,
0.11480983346700668,
-0.01069082971662283,
-0.013339339755475521,
0.0005251924740150571,
-0.020255383104085922,
0.005116639658808708,
0.0118347043171525,
-0.011412350460886955,
-0.0382230170071125,
-0.043009690940380096,
-0.005169434007257223,
0.03642801195383072,
0.06965317577123642,
0.039067722856998444,
-0.009529356844723225,
-0.04652930423617363,
0.03899732977151871,
0.03751909360289574,
-0.026819463819265366,
0.022296758368611336,
0.01905871368944645,
-0.008579060435295105,
0.008552663959562778,
0.012327450327575207,
-0.01965704746544361,
0.0026859058998525143,
-0.006106531247496605,
0.030796628445386887,
0.00042702825157903135,
0.007114021107554436,
-0.011764312162995338,
-0.006168124731630087,
-0.008913423866033554,
0.010981197468936443,
-0.0038979733362793922,
-0.0035614101216197014,
-0.01948106661438942,
-0.007391190622001886,
0.09326978772878647,
-0.046212539076805115,
0.032345257699489594,
-0.06986434757709503,
0.021997591480612755,
0.009335777722299099,
0.00959094986319542,
0.05198470875620842,
0.04529744014143944,
0.013550516217947006,
-0.008975017815828323,
0.041355472058057785,
0.01441282220184803,
0.06828052550554276,
-0.03352433070540428,
0.00763756362721324,
0.05529314652085304,
0.055222753435373306,
0.01179070957005024,
-0.030057508498430252,
0.03428104519844055,
-0.0622267872095108,
0.04350243881344795,
0.013480124063789845,
0.004584298003464937,
-0.02629152126610279,
0.026678679510951042,
-0.004518305417150259,
0.03723752498626709,
0.03751909360289574,
0.0016124234534800053,
-0.016419002786278725,
-0.0048834653571248055,
-0.033788301050662994,
-0.00007362318865489215,
0.03730791434645653,
-0.01948106661438942,
0.08841271698474884,
-0.04322086647152901,
0.048957839608192444,
-0.01571507938206196,
0.004392919130623341,
-0.012767402455210686,
0.003554810769855976,
0.014069659635424614,
0.02653789520263672,
-0.02185680717229843,
0.005622584372758865,
-0.06514807045459747,
-0.026555493474006653,
-0.010303672403097153,
0.0017906039720401168,
0.02240234799683094,
-0.061769235879182816,
-0.05001372471451759,
-0.025006862357258797,
0.016480594873428345,
0.0032688421197235584,
-0.036076050251722336,
0.039701253175735474,
-0.050189703702926636,
-0.006295710802078247,
-0.03371790796518326,
0.014993558637797832,
0.0388917438685894,
-0.03487938269972801,
-0.051245588809251785,
0.00016209475870709866,
-0.006014141719788313,
0.026784267276525497,
-0.020906511694192886,
-0.017589274793863297,
-0.01219546515494585,
-0.0338938906788826,
0.009221390821039677,
0.04564940184354782,
-0.03414026275277138,
-0.0018236003816127777,
-0.029089614748954773,
0.009309381246566772,
-0.00739559018984437,
-0.0008870529127307236,
-0.0064980885945260525,
-0.02806892618536949,
0.03486178442835808,
-0.03590007126331329,
-0.010814015753567219,
0.02637951262295246,
-0.024038968607783318,
0.030286284163594246,
-0.004531503655016422,
0.02674907073378563,
0.0006214319728314877,
-0.04645891487598419,
0.04441753774881363,
-0.008205101825296879,
-0.03685036674141884,
0.021522443741559982,
-0.009019012562930584,
-0.02430293895304203,
0.05275902524590492,
0.0023779396433383226,
0.01612863503396511,
0.025130048394203186,
-0.016682973131537437,
-0.009080605581402779,
0.0466700904071331,
-0.04128507897257805,
-0.0037153931334614754,
0.037589482963085175,
-0.02400377206504345,
-0.0005807364359498024,
-0.008310690522193909,
0.07271523773670197,
-0.015072749927639961,
-0.04691646248102188,
0.019586656242609024,
-0.0366743840277195,
0.0017609072383493185,
0.069125235080719,
0.0030400671530514956,
-0.03313717246055603,
-0.005785366520285606,
0.00014312182611320168,
-0.034122664481401443,
-0.00190719123929739,
0.005173833575099707,
0.02653789520263672,
-0.046423718333244324,
0.027417797595262527,
0.035988058894872665,
0.03055025450885296,
0.0155302993953228,
0.002916880650445819,
0.061980415135622025,
0.04413596913218498,
0.02249033749103546,
0.016850154846906662,
-0.020853716880083084,
-0.08010642975568771,
-0.002674907213076949,
-0.07035709917545319,
-0.021944796666502953,
-0.02532362751662731,
-0.005028649233281612,
-0.06328266859054565,
0.01515194121748209,
-0.0130577702075243,
-0.023722203448414803,
0.007056827191263437,
-0.01703493483364582,
0.028808046132326126,
-0.0775723084807396,
0.013805688358843327,
-0.02243754267692566,
0.023722203448414803,
-0.014623998664319515,
-0.018073221668601036,
-0.008821033872663975,
-0.004751479718834162,
0.05448363348841667,
-0.019604254513978958,
0.01974503882229328,
0.014905568212270737,
0.011438747867941856,
-0.024918871000409126,
-0.05244226008653641,
-0.06036139279603958,
0.053814906626939774,
0.08503389358520508,
0.004043157212436199,
-0.05110480636358261,
-0.01812601462006569,
0.01084041316062212,
-0.0013803489273414016,
-0.13275986909866333,
0.07637564092874527,
-0.025429215282201767,
0.03422825410962105,
-0.026995444670319557,
0.018442781642079353,
-0.06838611513376236,
0.004032158758491278,
-0.02975834161043167,
0.0011361755896359682,
-0.03832860291004181,
-0.008345886133611202,
-0.030286284163594246,
0.020994501188397408,
0.0003071413666475564,
0.05592667683959007,
-0.04973215609788895,
0.03246844559907913,
-0.007065626326948404,
-0.04966176301240921,
-0.04990813508629799,
0.012230660766363144,
-0.013788090087473392,
-0.015028754249215126,
-0.010268475860357285,
-0.0077959466725587845,
-0.0030488662887364626,
-0.0012923585018143058,
0.0010987797286361456,
0.02819211408495903,
0.009344576857984066,
0.0204489603638649,
0.027875348925590515,
0.017897240817546844,
0.0025077254977077246,
0.006819253321737051,
-0.015671083703637123,
0.017483685165643692,
-0.002809092402458191,
-0.03373550623655319,
-0.007043628953397274,
0.017888441681861877,
0.007624365389347076,
0.06627434492111206,
-0.004313727840781212,
-0.009476562030613422,
0.008319488726556301,
-0.01796763204038143,
-0.012389043346047401,
0.06127649173140526,
0.04674048349261284,
0.03135976567864418,
-0.03949007764458656,
0.025429215282201767,
0.029740743339061737,
-0.02747059240937233,
-0.05363892763853073,
0.05075284466147423,
-0.035600900650024414,
0.012098675593733788,
0.020871315151453018,
0.0057413713075220585,
-0.007716755382716656,
0.013752894476056099,
-0.013480124063789845,
-0.0607837438583374,
-0.023986173793673515,
0.08165506273508072,
0.02831530012190342,
-0.030198294669389725,
0.029863931238651276,
-0.07049788534641266,
0.026643482968211174,
0.023616613820195198,
-0.011174776591360569,
-0.0018367988523095846,
0.01466799434274435,
-0.016454199329018593,
-0.02282470092177391,
-0.03621683642268181,
-0.03153574839234352,
0.08791997283697128,
-0.005868957377970219,
0.014738386496901512,
-0.04980254918336868,
-0.0072548058815300465,
0.025130048394203186,
0.02337024174630642,
-0.005257424432784319,
0.004091551993042231,
-0.05092882364988327,
0.03266202285885811,
-0.022578328847885132,
0.019938617944717407,
-0.032274868339300156,
-0.0007759650470688939,
-0.024918871000409126,
-0.027840152382850647,
-0.008425077423453331,
0.007237207610160112,
0.04593097046017647,
-0.0671190544962883,
0.05596187338232994,
0.014192846603691578,
0.008403079584240913,
-0.0061197299510240555,
-0.0015167339006438851,
-0.0111395800486207,
-0.019375478848814964,
0.05282941460609436,
0.01318975631147623,
-0.010022102855145931,
-0.01679736189544201,
0.007448384538292885,
0.0020094800274819136,
0.04480469599366188,
-0.032908398658037186,
-0.025710785761475563,
-0.005327816586941481,
-0.02653789520263672,
-0.022789504379034042,
0.03808223083615303,
-0.032609228044748306,
-0.04920421168208122,
-0.0622267872095108,
-0.03994762524962425,
-0.03625202924013138,
-0.04983774200081825,
-0.08038800209760666,
0.02852647751569748,
-0.05765128880739212,
-0.02333504520356655,
0.031095795333385468,
-0.030655844137072563,
0.07707956433296204,
-0.033119574189186096,
0.05951668322086334,
-0.053110986948013306,
0.02680186554789543,
0.06993474066257477,
0.047655582427978516,
-0.01923469454050064,
0.03338354453444481,
0.024672498926520348,
-0.03241565078496933,
-0.06775258481502533,
0.004857068415731192,
0.030567852780222893,
-0.0025979154743254185,
-0.0002969674824271351,
0.005327816586941481,
0.005530194379389286,
0.02532362751662731,
0.046001363545656204,
0.0017092128982767463,
-0.01736929826438427,
-0.012996177189052105,
-0.01109558530151844,
0.03815262392163277,
-0.011412350460886955,
-0.0007941130315884948,
-0.008011522702872753,
0.025429215282201767,
0.01914670318365097,
0.014588803052902222,
0.056278638541698456,
0.012925785034894943,
-0.008539465256035328,
-0.029177606105804443,
0.00803352054208517,
0.021487247198820114,
-0.0077651496976614,
-0.02379259467124939,
-0.011394752189517021,
-0.02451411634683609,
-0.04417116567492485,
0.02129366807639599,
0.020220186561346054,
-0.033242762088775635,
0.0023933378979563713,
-0.052688632160425186,
0.045754991471767426,
0.004373121075332165,
-0.016419002786278725,
-0.018319593742489815,
0.0345626175403595,
0.023194260895252228,
0.019410675391554832,
0.02535882405936718,
-0.031975697726011276,
0.018882732838392258,
-0.022895094007253647,
0.008684649132192135,
0.019340282306075096,
0.001615723129361868,
-0.03575928509235382,
0.059657469391822815,
0.038610171526670456,
0.03857497498393059,
-0.03503776341676712,
-0.0018785942811518908,
0.043044887483119965,
0.01664777658879757,
0.027505788952112198,
0.05413167178630829,
-0.010682030580937862,
0.06838611513376236,
0.01770366169512272,
-0.04329125955700874,
0.003952967002987862,
-0.023264652118086815,
-0.043432045727968216,
-0.02873765304684639,
-0.04251694679260254,
0.033031582832336426,
0.03846938908100128,
-0.03208128735423088,
-0.013629707507789135,
-0.005429005715996027,
0.03362991660833359,
0.03340114280581474,
-0.004909862298518419,
0.0031060599721968174,
0.019621850922703743,
0.047057248651981354,
-0.03516095131635666,
0.008535065688192844,
0.020044205710291862,
-0.01571507938206196,
0.00948536116629839,
-0.02303587831556797,
-0.03157094493508339,
-0.021487247198820114,
-0.010620437562465668,
-0.013832085765898228,
-0.03329555317759514,
-0.013867281377315521,
-0.03334834799170494,
-0.010171686299145222,
-0.03850458562374115,
0.04716283828020096,
0.031007805839180946,
0.02738260291516781,
-0.023687006905674934,
0.024021370336413383,
0.0578976608812809,
-0.0072020115330815315,
0.005349814426153898,
-0.04293929785490036,
-0.005926151294261217,
-0.027945740148425102,
0.018829938024282455,
-0.017448490485548973,
0.04980254918336868,
0.0022503535728901625,
-0.02354622259736061,
0.014755984768271446,
-0.0007891635759733617,
0.02717142552137375,
-0.026485100388526917,
0.05068245157599449,
-0.016779763624072075,
0.011913895606994629,
-0.0038429792039096355,
-0.0331723690032959,
-0.02219117060303688,
-0.0303918719291687,
-0.02949437126517296,
-0.011359556578099728,
0.02409176155924797,
-0.07588288933038712,
0.016876552253961563,
-0.024144556373357773,
0.009555754251778126,
0.01923469454050064,
-0.018988320603966713,
0.0012516629649326205,
-0.0338938906788826,
0.0382230170071125,
0.043009690940380096,
0.015591893345117569,
-0.017140522599220276,
-0.014835176058113575,
0.008785838261246681,
0.05955187976360321,
0.04582538455724716,
0.0118347043171525,
0.01911150850355625,
-0.00617252429947257,
-0.0017697062576189637,
0.01698214001953602,
-0.02484847977757454,
0.009300582110881805,
-0.014316032640635967,
0.009071806445717812,
0.011808306910097599,
-0.011315560899674892,
-0.01646299846470356,
0.0444527342915535,
0.010594040155410767,
-0.005512596573680639,
-0.010215681977570057,
-0.014650396071374416,
0.016322212293744087,
-0.032098885625600815,
0.005090242717415094,
-0.022032788023352623,
-0.017650866881012917,
-0.07524935901165009,
0.0020017807837575674,
-0.03825820982456207,
0.019041115418076515,
0.015996647998690605,
-0.025957157835364342,
0.010928403586149216,
0.05219588428735733,
0.013075368478894234,
-0.00448530912399292,
0.005279421806335449,
0.013101765885949135,
0.019041115418076515,
0.0395604707300663,
-0.007483580615371466,
0.04948578402400017,
-0.027945740148425102,
-0.014096057042479515,
0.025886766612529755,
0.02674907073378563,
0.015732677653431892,
-0.007514377124607563,
0.020642539486289024,
0.03582967817783356,
0.01918189972639084,
-0.02071293257176876,
0.029635155573487282,
0.027118630707263947,
-0.019674645736813545,
-0.02092410996556282,
0.019973812624812126,
-0.023616613820195198,
0.004848269280046225,
0.020132195204496384,
0.01145634613931179,
-0.0130841676145792,
0.0028464882634580135,
0.01718451827764511,
-0.030022313818335533,
0.017052533105015755,
-0.031711727380752563,
-0.006643272470682859,
0.032503642141819,
0.046212539076805115,
-0.008961819112300873,
-0.05473000928759575,
0.007677159272134304,
0.022472739219665527,
0.022683916613459587,
0.002754098502919078,
-0.02104729600250721,
0.0014034463092684746,
-0.022877495735883713,
-0.01242423988878727,
0.004238936118781567,
-0.0010696329409256577,
-0.02569318749010563,
0.01670057140290737,
-0.03211648389697075,
0.009670141153037548,
-0.008240297436714172,
-0.00815670657902956,
-0.029353586956858635,
-0.0029520767275243998,
0.020167391747236252,
0.07363034039735794,
-0.011289164423942566,
-0.029934322461485863,
0.029001625254750252,
-0.03952527418732643,
-0.03018069639801979,
0.002892683260142803,
0.012987378053367138,
-0.02020258828997612,
-0.00368679640814662,
0.04952097684144974,
0.015759075060486794,
-0.016137434169650078,
-0.020607344806194305,
0.02497166581451893,
-0.005926151294261217,
0.059235114604234695,
-0.011236369609832764,
0.03257403522729874,
0.09411449730396271,
-0.055469125509262085,
0.013832085765898228,
0.014368826523423195,
-0.019305085763335228,
0.03941968455910683,
0.04322086647152901,
-0.001658618450164795,
0.009177395142614841,
-0.07539014518260956,
-0.03259163349866867,
0.029265595600008965,
0.05008411779999733,
0.005714974366128445,
0.0036779972724616528,
-0.003394228406250477,
-0.0028574871830642223,
-0.0013242550194263458,
-0.05247745290398598,
0.004219138063490391,
0.014500812627375126,
0.0073559945449233055,
0.0494505874812603,
0.046388521790504456,
-0.021751219406723976,
0.008574660867452621,
0.017404494807124138,
0.006036139093339443,
0.013550516217947006,
-0.050788041204214096,
-0.0013594512129202485,
-0.01179070957005024,
0.037448700517416,
-0.03465060517191887,
-0.021188080310821533,
0.006326507311314344,
0.03517854958772659,
-0.02231435663998127,
0.026678679510951042,
-0.01817880943417549,
-0.05680657923221588,
-0.02358141914010048,
-0.021364061161875725,
0.00961734727025032,
0.020044205710291862,
-0.01670937053859234,
-0.032978788018226624,
0.04712764173746109,
-0.011280365288257599,
0.001928088953718543,
0.04434714466333389,
-0.02671387605369091,
-0.06141727417707443,
0.030743833631277084,
0.028262505307793617,
-0.0014265438076108694,
0.008064317516982555,
0.0023801394272595644,
0.03144775703549385,
-0.06697826832532883,
-0.0021425653249025345,
0.03498496860265732,
0.003849578555673361,
-0.0010349866934120655,
0.0003261142992414534,
0.023774996399879456,
-0.015398314222693443,
0.04381920397281647,
-0.0345626175403595,
0.029511969536542892,
-0.035143353044986725,
-0.019850626587867737,
-0.034808989614248276,
-0.007694757543504238,
-0.010294873267412186,
0.05201990529894829,
-0.010092495009303093,
0.0027716965414583683,
0.003585607511922717,
-0.004958257079124451,
0.007298801094293594,
0.00897061824798584,
0.013647305779159069,
-0.024584507569670677,
-0.008948620408773422,
-0.048465095460414886,
0.007109621539711952,
0.018530771136283875,
-0.0017917038640007377,
0.038645368069410324,
-0.009599748998880386,
-0.0544484406709671,
-0.015081549063324928,
-0.011913895606994629,
-0.02058974653482437,
-0.005882156081497669,
0.04371361434459686,
0.02653789520263672,
-0.018161211162805557,
0.009450165554881096,
0.009335777722299099,
-0.01094600185751915,
-0.07539014518260956,
0.028790447860956192,
-0.009019012562930584,
-0.03447462618350983,
-0.005085843149572611,
-0.014914367347955704,
0.0015893259551376104,
-0.03512575477361679,
-0.01838998682796955,
-0.018073221668601036,
-0.013814487494528294,
-0.005754570011049509,
0.008477872237563133,
-0.03699114918708801,
0.01902351714670658,
-0.018583565950393677,
-0.023687006905674934,
-0.008697847835719585,
-0.05008411779999733,
0.06169884651899338,
-0.020009009167551994,
0.01571507938206196,
-0.039877235889434814,
0.023440632969141006,
-0.02101209945976734,
0.00974053330719471,
-0.0009937412105500698,
0.0035834077280014753,
-0.025094851851463318,
-0.017994029447436333,
0.036533601582050323,
0.033577125519514084,
0.015776673331856728,
-0.01812601462006569,
0.02270151488482952,
0.023616613820195198,
0.019797831773757935,
-0.006850049830973148,
-0.04519185051321983,
-0.03047986328601837,
0.0009700937662273645,
-0.017862044274806976,
-0.001592625631019473,
-0.02578117698431015,
0.004531503655016422,
0.05159755051136017,
0.026942649856209755,
-0.002481328323483467,
0.03348913416266441,
-0.019305085763335228,
-0.014360027387738228,
0.02113528549671173,
-0.01999141089618206,
-0.03709673881530762,
-0.0007374692359007895,
0.0458957739174366,
0.016295816749334335,
0.04505106806755066,
0.011843503452837467,
-0.01830199547111988,
-0.029775939881801605,
-0.0025495209265500307,
0.019833028316497803,
0.014852774329483509,
-0.021117687225341797,
0.03769507259130478,
0.047022052109241486,
0.006858848966658115,
0.038645368069410324,
0.02062494121491909,
-0.02553480491042137,
-0.015503902919590473,
0.02159283682703972,
-0.04740921035408974,
0.0015970251988619566,
0.0346682034432888,
0.03551291301846504,
-0.0005051196785643697,
0.03391148895025253,
0.012943383306264877,
-0.02240234799683094,
-0.007061226759105921,
0.01833719201385975,
-0.03741350397467613,
-0.007369193248450756,
-0.03977164626121521,
-0.020237784832715988,
-0.05610265955328941,
0.0023471431341022253,
0.020572148263454437,
0.03635761886835098,
0.0055257948115468025,
-0.022296758368611336,
-0.017536479979753494,
0.03213408216834068,
-0.015415912494063377,
0.02988152764737606,
-0.07141298055648804,
0.0445583201944828,
-0.02037856914103031,
-0.02101209945976734,
-0.04733881726861,
0.018442781642079353,
-0.031711727380752563,
0.02143445424735546,
-0.014984759502112865,
0.03663918748497963,
-0.007892736233770847,
-0.04438234120607376,
0.03326036036014557,
-0.021152883768081665,
0.02502446062862873,
-0.0009255486656911671,
-0.016304614022374153,
-0.04645891487598419,
0.028332898393273354,
0.0719057247042656,
-0.0036779972724616528,
0.016603782773017883,
-0.025851570069789886,
-0.006616875529289246,
0.009582150727510452,
-0.01640140451490879,
-0.011632326059043407,
-0.052301473915576935,
0.015609490685164928,
0.024408528581261635,
0.04308008402585983,
0.0038429792039096355,
-0.051034413278102875,
0.01842518337070942,
0.05261823907494545,
-0.026344316080212593,
0.06103011965751648,
-0.034932173788547516,
0.004417116288095713,
0.03246844559907913,
-0.03618163987994194,
0.004153145477175713,
-0.030655844137072563,
-0.012125072069466114,
0.00006032151941326447,
-0.003209448652341962,
0.019287487491965294,
-0.013427330181002617,
-0.002263552276417613,
-0.04695165902376175,
-0.010928403586149216,
-0.023440632969141006,
0.005125438794493675,
0.0008370083523914218,
-0.01242423988878727,
-0.034386634826660156,
0.0020028806757181883,
-0.008482271805405617,
-0.040334783494472504,
-0.010400461032986641,
0.01833719201385975,
0.00197098427452147,
-0.03500256687402725,
0.019428273662924767,
-0.01415765006095171,
0.0218920037150383,
0.004025559406727552,
0.04885224997997284,
-0.019463468343019485,
0.02143445424735546,
-0.00652888510376215,
-0.03917331248521805,
-0.006568480748683214,
0.03447462618350983,
0.00020732730627059937,
-0.06623914837837219,
0.009063007310032845,
0.00626491429284215,
0.003066464327275753,
0.05518755689263344,
-0.01851317286491394,
-0.03396428003907204,
0.009142199531197548,
-0.017175719141960144,
-0.026256324723362923,
0.009934112429618835,
-0.029142409563064575,
-0.00443911412730813,
-0.04336165264248848,
-0.025728384032845497,
0.013814487494528294,
-0.045367833226919174,
0.022208768874406815,
-0.007492379751056433,
-0.015345520339906216,
-0.07384151220321655,
-0.018319593742489815,
0.0028640865348279476,
-0.023475829511880875,
0.02671387605369091,
0.02674907073378563,
0.023862987756729126,
-0.010303672403097153,
-0.020572148263454437,
-0.04086272791028023,
0.017738858237862587,
-0.00984612200409174,
-0.019410675391554832,
-0.05360373109579086,
-0.005345414858311415,
0.004571099765598774
] |
Effective learning strategies based on principles like personalization,
retrieval practice, and spaced repetition are often challenging to implement
due to practical constraints. Here we explore the integration of AI tutors to
complement learning programs in accordance with learning sciences. A
semester-long study was conducted at UniDistance Suisse, where an AI tutor app
was provided to psychology students taking a neuroscience course (N=51). After
automatically generating microlearning questions from existing course materials
using GPT-3, the AI tutor developed a dynamic neural-network model of each
student's grasp of key concepts. This enabled the implementation of distributed
retrieval practice, personalized to each student's individual level and
abilities. The results indicate that students who actively engaged with the AI
tutor achieved significantly higher grades. Moreover, active engagement led to
an average improvement of up to 15 percentile points compared to a parallel
course without AI tutor. Additionally, the grasp strongly correlated with the
exam grade, thus validating the relevance of neural-network predictions. This
research demonstrates the ability of personal AI tutors to model human learning
processes and effectively enhance academic performance. By integrating AI
tutors into their programs, educators can offer students personalized learning
experiences grounded in the principles of learning sciences, thereby addressing
the challenges associated with implementing effective learning strategies.
These findings contribute to the growing body of knowledge on the
transformative potential of AI in education. | [
0.01108736451715231,
0.04624713957309723,
-0.03127656131982803,
-0.06051487475633621,
0.03939440846443176,
0.012519409880042076,
-0.017219679430127144,
0.026795929297804832,
0.013151969760656357,
0.07935109734535217,
0.0011498089879751205,
-0.03159283846616745,
0.003426364855840802,
0.003329723607748747,
0.0019822397734969854,
0.005038513336330652,
0.03974582999944687,
0.03424607589840889,
-0.06536449491977692,
-0.010068241506814957,
-0.019416067749261856,
-0.06677018851041794,
-0.049480222165584564,
-0.017896166071295738,
0.020575759932398796,
0.013020185753703117,
0.008051957003772259,
0.02277214825153351,
-0.032436251640319824,
0.024318404495716095,
-0.014267734251916409,
0.026005230844020844,
0.03240111097693443,
-0.06550506502389908,
-0.011965920217335224,
0.002517060376703739,
0.047758255153894424,
-0.011307003907859325,
-0.03322695195674896,
0.033332377672195435,
0.03468535467982292,
-0.00009732742910273373,
0.043084342032670975,
-0.04276806116104126,
0.0332796648144722,
-0.09249427914619446,
-0.03233082592487335,
-0.06613762676715851,
-0.046071428805589676,
-0.018080662935972214,
-0.02373855747282505,
-0.010077026672661304,
0.10015527904033661,
0.025653807446360588,
-0.027709627524018288,
0.038937561213970184,
0.02261400781571865,
-0.0166398324072361,
0.07787512242794037,
-0.02205173298716545,
0.025337528437376022,
0.0605500154197216,
-0.0014177681878209114,
-0.02698921225965023,
0.04023782163858414,
-0.06255312263965607,
-0.023123569786548615,
0.012826903723180294,
-0.0035405769012868404,
0.012387626804411411,
-0.0053328294306993484,
-0.0013332073576748371,
-0.010929225012660027,
-0.03377165645360947,
0.031381987035274506,
-0.022122016176581383,
0.036020759493112564,
0.05165903642773628,
-0.0437520407140255,
-0.0017087896121665835,
0.02257886528968811,
0.06613762676715851,
-0.016903400421142578,
0.007915780879557133,
0.058336056768894196,
-0.016226911917328835,
-0.022666720673441887,
-0.050077639520168304,
0.01843208447098732,
0.07302549481391907,
-0.056614089757204056,
0.020435191690921783,
-0.03528277203440666,
0.03547605499625206,
0.009005189873278141,
-0.022561294957995415,
-0.029414024204015732,
0.005776499398052692,
0.0035208093468099833,
-0.002991480054333806,
0.017412960529327393,
-0.0321551151573658,
0.039007846266031265,
-0.008210097439587116,
-0.020505474880337715,
-0.06557535380125046,
-0.07154952734708786,
-0.023984553292393684,
0.05035877600312233,
0.09193199872970581,
-0.07088182121515274,
-0.02496853470802307,
-0.04055410251021385,
-0.024142693728208542,
-0.023527704179286957,
0.024617113173007965,
-0.020944753661751747,
-0.023281710222363472,
0.008183740079402924,
-0.048988230526447296,
-0.009505965746939182,
0.05025335028767586,
0.004085280932486057,
-0.005605181213468313,
-0.02807861939072609,
0.03577476367354393,
-0.025249673053622246,
-0.005042905919253826,
0.05081562697887421,
0.001484758104197681,
0.011957134120166302,
0.09453252702951431,
-0.04354118928313255,
0.059390321373939514,
-0.007037226110696793,
-0.002200780436396599,
0.019117359071969986,
0.020066197961568832,
-0.003577915485948324,
-0.05397842451930046,
-0.02635665237903595,
0.03155769780278206,
0.020329764112830162,
-0.013740601018071175,
0.0021239069756120443,
-0.000909304479137063,
-0.005846783984452486,
0.05956603214144707,
-0.0029980691615492105,
0.011570570059120655,
-0.023826412856578827,
0.02609308622777462,
-0.053521573543548584,
-0.014021738432347775,
0.0017604046734049916,
-0.025882232934236526,
0.027428489178419113,
0.0222450140863657,
-0.05320529639720917,
0.025636237114667892,
0.022526152431964874,
0.04087038338184357,
0.024283261969685555,
0.02463468350470066,
0.050077639520168304,
0.018976788967847824,
0.018379371613264084,
0.04610656946897507,
-0.061779990792274475,
0.055876102298498154,
-0.019152499735355377,
-0.0022974214516580105,
-0.0031627982389181852,
0.019767489284276962,
-0.012958686798810959,
-0.002135986927896738,
0.016455335542559624,
-0.027955621480941772,
-0.09453252702951431,
-0.017685312777757645,
-0.0717955231666565,
0.024775253608822823,
0.03921869769692421,
-0.02078661322593689,
0.04146780073642731,
-0.014425873756408691,
0.11414187401533127,
0.0012706102570518851,
0.023387135937809944,
0.0031232633627951145,
-0.01823880337178707,
-0.042381495237350464,
-0.007652214728295803,
-0.016516834497451782,
-0.0077049280516803265,
-0.02702435478568077,
0.010103383101522923,
0.028799034655094147,
0.01117522083222866,
0.017615029588341713,
-0.05211588740348816,
-0.05875776335597038,
0.018853791058063507,
0.012457910925149918,
0.03442178666591644,
0.059495750814676285,
0.02758662961423397,
0.037215594202280045,
-0.025952516123652458,
-0.009874958544969559,
-0.010771085508167744,
0.005170296411961317,
-0.05626266822218895,
-0.0019152500899508595,
-0.017202109098434448,
-0.0045025949366390705,
0.026936497539281845,
-0.002336956560611725,
-0.021858450025320053,
0.018186090514063835,
0.02324656769633293,
0.024617113173007965,
0.028623323887586594,
-0.07780483365058899,
-0.0151375038549304,
-0.013222253881394863,
0.02814890444278717,
-0.0068878717720508575,
0.04101094976067543,
-0.047723110765218735,
-0.005183475092053413,
0.023088427260518074,
0.011509071104228497,
0.0441034659743309,
0.03981611505150795,
-0.013784528709948063,
0.037813011556863785,
-0.044244032353162766,
0.0027235206216573715,
0.00478373235091567,
-0.06687561422586441,
-0.060093168169260025,
-0.010419663041830063,
-0.013354036957025528,
0.01966206170618534,
-0.018941646441817284,
0.00369652034714818,
0.043365478515625,
0.015339571051299572,
0.03146984428167343,
0.021489456295967102,
-0.026971640065312386,
0.03299852833151817,
0.06416966021060944,
-0.036653317511081696,
0.031048135831952095,
0.053662143647670746,
-0.052397023886442184,
0.02632150985300541,
0.005275723058730364,
0.03398251160979271,
-0.00802560057491064,
0.008521984331309795,
0.036055900156497955,
-0.03767244145274162,
-0.006444201339036226,
0.03858613967895508,
0.020312193781137466,
0.017395390197634697,
0.014127165079116821,
-0.022701863199472427,
-0.03268224745988846,
0.006382702384144068,
-0.013143183663487434,
-0.03150498494505882,
-0.052467308938503265,
0.0349489189684391,
-0.006857122294604778,
-0.014627941884100437,
0.02684864215552807,
0.005671072751283646,
-0.0889800563454628,
0.034105509519577026,
0.009980385191738605,
0.004774946719408035,
-0.08919090777635574,
-0.03315666690468788,
-0.0027608592063188553,
-0.05334586277604103,
0.006756088696420193,
0.01052508968859911,
-0.003441739594563842,
-0.008196919225156307,
-0.01777316816151142,
0.027129780501127243,
0.007573144510388374,
-0.032172687351703644,
-0.0007061386131681502,
-0.023299280554056168,
-0.018045520409941673,
0.0006287159631028771,
-0.020769041031599045,
-0.02115560695528984,
0.017861025407910347,
-0.018080662935972214,
0.005258152261376381,
0.023720987141132355,
0.04698512330651283,
-0.02456440031528473,
0.03322695195674896,
0.06870300322771072,
0.024740111082792282,
-0.030222294852137566,
-0.008131027221679688,
0.002160147298127413,
0.014777296222746372,
0.0353354848921299,
0.016991255804896355,
-0.07499346137046814,
0.005407506600022316,
0.02403726615011692,
-0.011711139231920242,
-0.07632886618375778,
0.011878064833581448,
-0.009980385191738605,
0.010727157816290855,
0.011913206428289413,
0.01797523722052574,
-0.013037757016718388,
-0.029660020023584366,
-0.043014056980609894,
-0.00295853428542614,
-0.041362371295690536,
0.0017175751272588968,
0.02519696019589901,
-0.05042906105518341,
-0.050042495131492615,
-0.05752778425812721,
-0.028465183451771736,
0.023053284734487534,
-0.03415822237730026,
-0.026339080184698105,
-0.05559496581554413,
-0.015111147426068783,
0.003566933562979102,
-0.031540125608444214,
-0.032734960317611694,
0.05260787904262543,
-0.005214224103838205,
-0.03359594568610191,
0.0008873406331986189,
0.029993869364261627,
-0.006105957552790642,
0.014267734251916409,
-0.029765445739030838,
-0.021067749708890915,
0.011350931599736214,
0.022034160792827606,
-0.0252321008592844,
-0.0038656422402709723,
0.03278767690062523,
-0.03974582999944687,
-0.02108532190322876,
0.016499264165759087,
-0.04694998264312744,
-0.0620611310005188,
-0.011377288028597832,
0.005240580998361111,
0.018344229087233543,
-0.008565912023186684,
0.030064154416322708,
0.014074452221393585,
0.016929756850004196,
-0.019539063796401024,
-0.024177836254239082,
0.02254372276365757,
-0.008491234853863716,
-0.017298748716711998,
0.0093478262424469,
0.059425465762615204,
0.05018306523561478,
-0.01883622072637081,
0.01171992439776659,
0.053064726293087006,
0.012422768399119377,
0.05404870957136154,
0.06146371364593506,
-0.029097743332386017,
-0.04529830068349838,
0.09523537009954453,
-0.017228465527296066,
-0.020013485103845596,
-0.000575453566852957,
-0.057738639414310455,
0.04758254066109657,
0.006505700293928385,
-0.013863598927855492,
0.012870831415057182,
0.03630189597606659,
-0.011043436825275421,
-0.032576821744441986,
-0.009400539100170135,
-0.03169826790690422,
-0.04213549941778183,
-0.019345782697200775,
0.02075147069990635,
-0.004687091335654259,
-0.005754535552114248,
0.020277051255106926,
-0.026040371507406235,
0.008939297869801521,
-0.008205704391002655,
-0.0399918258190155,
-0.05215102806687355,
0.037742726504802704,
0.04621199518442154,
0.0024248119443655014,
-0.005016549490392208,
0.0019899271428585052,
-0.00046124140499159694,
0.004412543028593063,
0.04814481735229492,
-0.01054266095161438,
-0.02807861939072609,
0.022526152431964874,
-0.008201311342418194,
0.006993298418819904,
-0.018607797101140022,
-0.030784569680690765,
-0.01321346778422594,
-0.01112250704318285,
0.006848336663097143,
0.016920970752835274,
0.02844761312007904,
-0.05401356518268585,
-0.004871587734669447,
-0.022526152431964874,
0.04849623888731003,
-0.011693567968904972,
-0.0059082829393446445,
-0.03050343133509159,
-0.04589571803808212,
-0.007507252972573042,
-0.02045276202261448,
-0.005174689460545778,
-0.011561784893274307,
-0.013090470805764198,
-0.007964101620018482,
0.027973193675279617,
-0.058828048408031464,
-0.07393919676542282,
-0.005512933246791363,
-0.10324779152870178,
-0.048250243067741394,
0.061815135180950165,
-0.01717575080692768,
0.030749427154660225,
-0.013538533821702003,
0.004390579182654619,
-0.03742644563317299,
0.02602280117571354,
0.035493623465299606,
0.02164759673178196,
-0.000868671340867877,
0.01717575080692768,
-0.005780892446637154,
-0.04744197428226471,
-0.05742235854268074,
0.013301324099302292,
0.031153563410043716,
0.029853301122784615,
-0.06557535380125046,
-0.03013443946838379,
0.010252737440168858,
0.010235166177153587,
-0.004177529364824295,
-0.011394859291613102,
-0.050147924572229385,
-0.032734960317611694,
0.010103383101522923,
0.02071632817387581,
0.03767244145274162,
0.04406832158565521,
-0.028394900262355804,
-0.039675548672676086,
0.02284243144094944,
0.03809414803981781,
0.01112250704318285,
0.04115151986479759,
0.0006171849090605974,
-0.05640323460102081,
-0.026110656559467316,
0.015436212532222271,
-0.020769041031599045,
0.022297726944088936,
-0.052924156188964844,
0.05078048259019852,
-0.009725604206323624,
0.01693854108452797,
0.01962692104279995,
-0.02718249335885048,
-0.04733654856681824,
-0.02695406973361969,
0.0467391312122345,
-0.009426895529031754,
0.02370341494679451,
-0.015251715667545795,
-0.007243686355650425,
-0.015093576163053513,
0.05995259806513786,
-0.006119136232882738,
0.025144245475530624,
0.02725277841091156,
0.02171788178384304,
0.037250734865665436,
0.016499264165759087,
0.014109594747424126,
-0.0027564666233956814,
0.043716900050640106,
0.0059082829393446445,
0.004849623888731003,
0.033806800842285156,
-0.02602280117571354,
0.044876594096422195,
-0.058863189071416855,
0.03795357793569565,
0.04649313539266586,
-0.019574206322431564,
0.058406341820955276,
-0.0017120841657742858,
-0.0474771149456501,
0.012528195045888424,
-0.025056390091776848,
-0.02568894997239113,
-0.03862128034234047,
-0.00984860211610794,
0.07429061830043793,
0.0020613097585737705,
0.007063582539558411,
-0.007810354698449373,
-0.06304511427879333,
0.03487863764166832,
0.02291271649301052,
0.040062110871076584,
-0.028851747512817383,
-0.00888658408075571,
0.07857796549797058,
-0.046071428805589676,
-0.04097580909729004,
0.00315401260741055,
-0.019451208412647247,
0.004208278842270374,
-0.013969025574624538,
0.01577884890139103,
0.006681411061435938,
-0.03637218102812767,
-0.020610902458429337,
-0.035686906427145004,
-0.011632069014012814,
-0.005859962198883295,
-0.003773394040763378,
0.015471355058252811,
-0.041994933038949966,
0.017843453213572502,
-0.008438521064817905,
-0.008737229742109776,
0.034228503704071045,
0.05689522624015808,
0.029589734971523285,
0.018221233040094376,
-0.004107244778424501,
-0.005592002999037504,
0.014276519417762756,
0.026637788861989975,
0.01082379836589098,
0.0392538420855999,
-0.002144772559404373,
-0.0478636808693409,
-0.004726626444607973,
-0.00042500102426856756,
0.026567505672574043,
-0.019170071929693222,
-0.025601094588637352,
0.033402662724256516,
0.052924156188964844,
-0.0005087382742203772,
-0.004796910565346479,
0.012580908834934235,
0.030011441558599472,
-0.038445569574832916,
0.022526152431964874,
0.01455765776336193,
-0.024441402405500412,
-0.012501838617026806,
-0.04645799100399017,
0.044736023992300034,
0.04610656946897507,
0.002532434882596135,
0.01360881794244051,
-0.06079601123929024,
-0.000034026848879875615,
0.02194630540907383,
0.06575106084346771,
0.07323635369539261,
-0.05847662687301636,
-0.010946796275675297,
0.05295930057764053,
0.017650172114372253,
0.03261196240782738,
0.01999591290950775,
0.01491786539554596,
-0.006958156358450651,
0.04164351150393486,
0.0019690615590661764,
0.02194630540907383,
-0.08096763491630554,
0.009505965746939182,
-0.0067385174334049225,
-0.003474685363471508,
0.021366458386182785,
0.004118226934224367,
0.004177529364824295,
0.050745341926813126,
-0.033402662724256516,
-0.0010564625263214111,
0.04294377192854881,
-0.010472376830875874,
-0.006747303064912558,
-0.018748365342617035,
-0.027200065553188324,
-0.04329519346356392,
-0.01704396866261959,
-0.0030661572236567736,
-0.010533874854445457,
0.012080132029950619,
0.021507028490304947,
-0.023053284734487534,
0.0635722428560257,
0.009022760204970837,
-0.01026152353733778,
-0.02045276202261448,
-0.011684782803058624,
-0.04041353240609169,
0.06645390391349792,
-0.0021941913291811943,
0.022034160792827606,
0.014171093702316284,
-0.051975317299366,
0.052397023886442184,
-0.003316545393317938,
-0.002736699068918824,
0.03470292687416077,
0.014302876777946949,
0.059495750814676285,
-0.029660020023584366,
-0.024687398225069046,
-0.01601605862379074,
0.016288410872220993,
0.03175098076462746,
0.02893960475921631,
0.0007028440595604479,
0.022192301228642464,
0.015822777524590492,
-0.022139588370919228,
0.04203007370233536,
0.004985800012946129,
0.0328931026160717,
-0.02539024129509926,
-0.007700535003095865,
0.025372670963406563,
0.0009125990909524262,
-0.05563010647892952,
-0.051905032247304916,
0.023914268240332603,
0.043646614998579025,
-0.03561662137508392,
-0.00875040888786316,
0.024494115263223648,
-0.0010537169873714447,
-0.008803121745586395,
-0.04642285034060478,
0.008675731718540192,
0.016683761030435562,
-0.03496649116277695,
0.008565912023186684,
-0.0016154431505128741,
0.014698226004838943,
0.06385338306427002,
-0.0077093206346035,
-0.0021019428968429565,
0.0031056920997798443,
-0.025319956243038177,
0.032172687351703644,
0.011526642367243767,
-0.0011871475726366043,
0.05443527176976204,
-0.011333360336720943,
-0.005631538107991219,
0.005231795366853476,
-0.016288410872220993,
-0.035528767853975296,
0.001997614512220025,
-0.05404870957136154,
-0.02131374552845955,
0.02071632817387581,
-0.005170296411961317,
0.010200024582445621,
0.042381495237350464,
-0.0002770193968899548,
-0.01797523722052574,
0.022262586280703545,
0.03009929694235325,
0.003986443392932415,
0.05668437480926514,
0.010393306612968445,
0.02698921225965023,
0.010885297320783138,
0.05517325922846794,
-0.012739048339426517,
0.06750816851854324,
0.03577476367354393,
0.002150263637304306,
0.029624877497553825,
-0.02433597482740879,
-0.02250858023762703,
0.0036657711025327444,
0.013617603108286858,
0.04058924317359924,
-0.028008336201310158,
-0.02018919587135315,
0.026831071823835373,
-0.03819957375526428,
0.0063212038949131966,
-0.006984512787312269,
0.004709055181592703,
0.005662287585437298,
0.0023962589912116528,
0.02665536105632782,
-0.008912941440939903,
0.0004741451994050294,
-0.011658425442874432,
-0.002075586235150695,
0.012053775601089,
-0.012080132029950619,
0.008293559774756432,
0.022438297048211098,
-0.0034461321774870157,
0.007485289126634598,
0.02340470626950264,
-0.004107244778424501,
0.03180369362235069,
-0.01394266914576292,
0.05499754846096039,
-0.03788329288363457,
-0.04322490841150284,
0.0006023593014106154,
-0.031838834285736084,
-0.018590224906802177,
-0.0039666760712862015,
-0.012247057631611824,
0.012457910925149918,
0.017579887062311172,
-0.03009929694235325,
0.028096191585063934,
0.025179388001561165,
-0.04280320182442665,
-0.013775743544101715,
0.026444507762789726,
-0.0063080252148211,
-0.0032133152708411217,
0.02048790454864502,
-0.02748120203614235,
0.07260379195213318,
-0.08202189952135086,
0.011131293140351772,
0.018976788967847824,
0.04789882153272629,
0.01627962477505207,
-0.05503268912434578,
-0.0014649905497208238,
-0.0007066877442412078,
-0.0016022648196667433,
0.026831071823835373,
0.049480222165584564,
0.008412164635956287,
-0.011675996705889702,
0.01880107820034027,
-0.04354118928313255,
-0.013125612400472164,
0.027235206216573715,
0.0005617261631414294,
-0.03531791269779205,
-0.03540576994419098,
0.00429393770173192,
0.02018919587135315,
-0.01357367541640997,
-0.010964367538690567,
-0.040062110871076584,
-0.0026115048676729202,
-0.03357837349176407,
0.024687398225069046,
-0.010999509133398533,
-0.020171623677015305,
0.05211588740348816,
-0.026110656559467316,
-0.0064881290309131145,
0.00495505053550005,
-0.032172687351703644,
0.007669785525649786,
0.03879699110984802,
0.004065513610839844,
0.027955621480941772,
-0.035792332142591476,
-0.014118379913270473,
0.024757681414484978,
0.009400539100170135,
-0.04554429650306702,
0.00893490482121706,
-0.058828048408031464,
-0.026462078094482422,
-0.036583032459020615,
0.004030371550470591,
0.003663574578240514,
-0.003946908749639988,
-0.02396698296070099,
-0.035458482801914215,
0.00888658408075571,
0.011711139231920242,
0.0310305655002594,
-0.021366458386182785,
0.021858450025320053,
0.02927345409989357,
-0.011667211540043354,
0.027200065553188324,
-0.02755148708820343,
0.03349051997065544,
-0.045474011451005936,
0.033631086349487305,
-0.05577067658305168,
0.018748365342617035,
-0.015225359238684177,
0.010331807658076286,
-0.0014496158109977841,
0.016569549217820168,
-0.01482122391462326,
-0.01790495216846466,
-0.04466573894023895,
-0.035722050815820694,
0.000935112067963928,
0.0186956524848938,
0.02097989432513714,
-0.006457379553467035,
0.024353547021746635,
0.05169418081641197,
0.020628472790122032,
0.01587549038231373,
0.022192301228642464,
0.038515854626894,
-0.02015405334532261,
-0.020997466519474983,
0.016692547127604485,
0.015128718689084053,
-0.006272883154451847,
-0.05636809393763542,
-0.0056491089053452015,
-0.03696959838271141,
0.03329723700881004,
-0.0332796648144722,
-0.03143469989299774,
-0.025284815579652786,
-0.01020880974829197,
-0.014830010011792183,
-0.02639179490506649,
0.05225645378232002,
-0.009286327287554741,
0.048250243067741394,
0.013503391295671463,
0.00008490410982631147,
-0.02572409249842167,
-0.038375284522771835,
0.03175098076462746,
0.003889802610501647,
0.03266467899084091,
0.007248079404234886,
-0.007858674973249435,
0.020505474880337715,
-0.01999591290950775,
-0.034825921058654785,
0.006360738538205624,
-0.03517734631896019,
-0.019539063796401024,
0.008311131037771702,
0.023597989231348038,
0.007274435833096504,
0.036512747406959534,
0.0613231435418129,
-0.0024577577132731676,
0.0029629268683493137,
-0.0006171849090605974,
0.012651192955672741,
0.014390732161700726,
-0.017386604100465775,
0.0037711975164711475,
-0.010068241506814957,
-0.030380433425307274,
-0.014092023484408855,
0.007889424450695515,
-0.017456889152526855,
0.020048625767230988,
-0.01548014022409916,
-0.04347090423107147,
0.044244032353162766,
0.02261400781571865,
0.002198584144935012,
0.008759194053709507,
0.0032726177014410496,
0.003988639917224646,
-0.044876594096422195,
0.033367522060871124,
-0.016332339495420456,
0.040202680975198746,
0.016235698014497757,
0.03298095613718033,
0.03264710679650307,
-0.03350808843970299,
0.009778317995369434,
0.02878146432340145,
0.024722538888454437,
0.011069794185459614,
-0.038902416825294495,
-0.032278113067150116,
0.04800424724817276,
0.004889158997684717,
0.03384194150567055,
0.05636809393763542,
-0.02437111735343933,
-0.021225890144705772,
0.04280320182442665,
-0.02695406973361969,
0.02625122480094433,
-0.044771164655685425,
-0.01078865583986044,
-0.0009949635714292526,
-0.008170561864972115,
-0.003692127764225006,
-0.05338100716471672,
0.01634990982711315,
0.027692055329680443,
0.01054266095161438,
0.028553038835525513,
-0.015919417142868042,
-0.011377288028597832,
0.006316810846328735,
0.008548340760171413,
-0.02684864215552807,
-0.015111147426068783,
-0.002271064789965749,
0.00812224205583334,
-0.010314236395061016,
0.014689440838992596,
0.011509071104228497,
0.04283834621310234,
-0.03484349325299263,
-0.006088386755436659,
-0.02602280117571354,
0.013837242498993874,
-0.030679142102599144,
-0.04083523899316788,
-0.016964897513389587,
-0.019011931493878365,
0.02071632817387581,
-0.03255924955010414,
-0.01620934158563614,
-0.008614232763648033,
0.04234635457396507,
-0.002969516208395362,
-0.004408149980008602,
-0.023422278463840485,
-0.0030881210695952177,
0.012176773510873318,
0.027533916756510735,
-0.028922032564878464,
0.0302750077098608,
-0.00003177898543071933,
-0.007340327370911837,
-0.0228072889149189,
0.0016890221741050482,
-0.0030090510845184326,
-0.02459954097867012,
0.011359716765582561,
-0.01693854108452797,
0.0077444626949727535,
0.01461915671825409,
-0.010612945072352886,
-0.03872670605778694,
0.03178612142801285,
-0.006624305155128241,
0.00012265452824067324,
-0.014179878868162632,
0.03354323282837868,
-0.004735411610454321,
-0.017720455303788185,
-0.01753595843911171,
0.013494606129825115,
-0.009479609318077564,
0.02138403058052063,
0.05777378007769585,
-0.007256865035742521,
-0.024950964376330376,
0.04754739999771118,
0.04515773057937622,
0.011570570059120655,
-0.02134888805449009,
0.011034651659429073,
-0.005767714232206345,
0.014750939793884754,
-0.010753514245152473,
-0.008500020019710064,
-0.005051691550761461,
-0.048320528119802475,
0.04498201981186867,
-0.009690462611615658,
0.03609104081988335,
-0.013810886070132256
] |
Individual differences in personality determine our preferences, traits and
values, which should similarly hold for the way we express ourselves. With
current advancements and transformations of technology and society, text-based
communication has become ordinary and often even surpasses natural voice
conversations -- with distinct challenges and opportunities. In this
exploratory work, we investigate the impact of personality on the tendency how
players of a team-based collaborative alternate reality game express themselves
affectively. We collected chat logs from eleven players over two weeks, labeled
them according to their affective state, and assessed the connection between
them and the five-factor personality domains and facets. After applying
multi-linear regression, we found a series of reasonable correlations between
(combinations of) personality variables and expressed affect -- as increased
confusion could be predicted by lower self-competence (C1), personal annoyance
by vulnerability to stress (N6) and expressing anger occured more often in
players that are prone to anxiety (N1), less humble and modest (A5), think less
carefully before they act (C6) and have higher neuroticism (N). Expanding the
data set, sample size and input modalities in subsequent work, we aim to
confirm these findings and reveal even more interesting connections that could
inform affective computing and games user research equally. | [
-0.01707170531153679,
-0.019198385998606682,
-0.025850331410765648,
-0.08164897561073303,
0.05092379078269005,
-0.0022140778601169586,
-0.017819443717598915,
0.013760300353169441,
-0.00009672935266280547,
0.02093663066625595,
0.030084269121289253,
0.009861386381089687,
-0.01948971301317215,
-0.009443819522857666,
0.00999248307198286,
-0.003617298323661089,
-0.010963570326566696,
0.031210729852318764,
-0.044631149619817734,
0.015449991449713707,
-0.009778844192624092,
-0.02330608293414116,
-0.06650002300739288,
-0.0011173567036166787,
0.06257683038711548,
0.030453281477093697,
0.043698906898498535,
-0.018304986879229546,
-0.037794698029756546,
0.04039721190929413,
0.032045863568782806,
0.0001407317176926881,
0.017819443717598915,
-0.07698775827884674,
-0.032220661640167236,
-0.060285069048404694,
0.04397081211209297,
-0.006496570538729429,
0.046884071081876755,
0.08545564115047455,
-0.009919651784002781,
0.007224885746836662,
-0.055157728493213654,
-0.028511108830571175,
-0.011177209205925465,
-0.04362121969461441,
0.01477994117885828,
-0.04253360256552696,
-0.019431447610259056,
-0.04393196851015091,
0.05698337405920029,
-0.06428594887256622,
0.0562453493475914,
0.037134360522031784,
-0.04564107954502106,
0.026161078363656998,
0.009982772171497345,
-0.019256651401519775,
0.06634464859962463,
0.004204805940389633,
0.017023151740431786,
0.008438744582235813,
-0.08568870276212692,
-0.021130848675966263,
-0.008686371147632599,
-0.03183222562074661,
-0.010730508714914322,
0.010206121951341629,
-0.009060239419341087,
0.005384676158428192,
-0.050690729171037674,
0.018790530040860176,
-0.010885883122682571,
-0.0002509652404114604,
-0.011808415874838829,
0.009443819522857666,
0.12251231074333191,
0.05799330398440361,
0.0012624128721654415,
-0.04070795699954033,
0.051545288413763046,
0.022956492379307747,
-0.03354133665561676,
0.008016321808099747,
-0.015517966821789742,
-0.060479287058115005,
0.01156564336270094,
-0.09703098982572556,
0.03989224508404732,
0.0354640893638134,
-0.030278487130999565,
-0.002210436388850212,
0.0037653890904039145,
-0.004920982290059328,
-0.007365693338215351,
-0.0006985755753703415,
0.009963350370526314,
0.009982772171497345,
0.0029205435421317816,
-0.004491276573389769,
0.04645679146051407,
0.005520628299564123,
0.006729631684720516,
-0.08770856261253357,
0.01786799728870392,
-0.0322595052421093,
-0.05290481075644493,
-0.006642233580350876,
0.06315948814153671,
0.14139023423194885,
-0.029346242547035217,
0.04552454873919487,
-0.024956930428743362,
-0.01095385942608118,
0.005952761974185705,
0.016226859763264656,
0.023577988147735596,
-0.013400997966527939,
-0.007851236499845982,
-0.025908594951033592,
-0.014313819818198681,
0.061100780963897705,
-0.004578674212098122,
-0.066383495926857,
0.014342951588332653,
0.07430756092071533,
0.007924068719148636,
-0.022101934999227524,
0.033444229513406754,
0.011730728670954704,
0.009531216695904732,
0.03272562474012375,
0.005093350075185299,
0.044631149619817734,
-0.014177867211401463,
0.03513392060995102,
0.021985406056046486,
0.002774880500510335,
0.04296087846159935,
0.028977230191230774,
-0.02029571495950222,
-0.010575135238468647,
-0.0193343386054039,
0.053914740681648254,
-0.020101496949791908,
-0.032201237976551056,
0.006287787109613419,
-0.00838047917932272,
-0.015216929838061333,
-0.03198760002851486,
-0.06370329111814499,
0.034590110182762146,
-0.021635813638567924,
-0.03816371038556099,
0.01564420759677887,
-0.03270620480179787,
0.06098425015807152,
0.019043011590838432,
-0.04175673425197601,
-0.041290611028671265,
0.03429878503084183,
0.02235441841185093,
0.02750117890536785,
-0.022898226976394653,
0.04470883682370186,
-0.01006045937538147,
-0.03260909393429756,
-0.0244519654661417,
-0.026957370340824127,
0.05271059274673462,
-0.023053601384162903,
0.04653447866439819,
-0.010769352316856384,
0.05954704433679581,
0.02058704011142254,
0.0571775920689106,
0.014760519377887249,
-0.036357488483190536,
-0.0434270016849041,
-0.0035517499782145023,
-0.03082229569554329,
-0.0027263262309134007,
0.021033739671111107,
-0.006132413167506456,
0.07143314182758331,
-0.009720578789710999,
0.07356953620910645,
-0.01583842560648918,
0.09299127012491226,
-0.005957617424428463,
0.00823967158794403,
0.010361496359109879,
0.04692291468381882,
0.02171350084245205,
-0.006700498983263969,
0.020956052467226982,
-0.021053161472082138,
0.015226640738546848,
-0.008807756938040257,
-0.027442913502454758,
-0.010536291636526585,
-0.038590990006923676,
-0.028239203616976738,
-0.027753660455346107,
-0.02509288303554058,
0.0645190104842186,
0.023053601384162903,
0.03196817636489868,
0.0021448880434036255,
0.004889422096312046,
0.018479781225323677,
-0.007457946427166462,
0.0247627142816782,
0.03385208547115326,
-0.050069235265254974,
-0.04661216586828232,
0.067820705473423,
0.04024183750152588,
0.037930648773908615,
-0.05721643567085266,
-0.021344488486647606,
0.06214955449104309,
0.027442913502454758,
0.0023925150744616985,
0.05100147798657417,
0.012196850031614304,
0.011779283173382282,
0.04882624372839928,
-0.025947438552975655,
-0.010176989249885082,
-0.009409830905497074,
0.013255334459245205,
0.01324562355875969,
-0.010468315333127975,
0.06739342212677002,
0.003071062033995986,
0.0418732613325119,
0.025189992040395737,
-0.024529652670025826,
0.027520600706338882,
-0.017343610525131226,
-0.03528929501771927,
0.0018802668200805783,
-0.0345318466424942,
0.08794162422418594,
-0.0067636193707585335,
0.020645305514335632,
0.03989224508404732,
0.040319524705410004,
0.011089811101555824,
-0.06933559477329254,
-0.01484791748225689,
0.03389092907309532,
0.01220656093209982,
0.030628077685832977,
0.06036275625228882,
0.060168538242578506,
-0.0037848108913749456,
0.027365226298570633,
0.005141904577612877,
0.019722772762179375,
0.018877927213907242,
0.01254644151777029,
0.05954704433679581,
-0.0071569099090993404,
-0.028821855783462524,
0.031540900468826294,
0.008288226090371609,
0.014236132614314556,
-0.01899445801973343,
0.02985120750963688,
-0.03002600371837616,
-0.03192933276295662,
-0.07562824338674545,
0.00025445508072152734,
0.005171037279069424,
0.014236132614314556,
-0.048632025718688965,
0.020489931106567383,
-0.023267239332199097,
-0.011847258545458317,
0.056944530457258224,
0.0357748381793499,
-0.027209851890802383,
-0.065140500664711,
-0.02301475778222084,
-0.003231291426345706,
-0.0069529814645648,
-0.06479091197252274,
-0.05259406194090843,
-0.014711964875459671,
-0.058070991188287735,
-0.05877017229795456,
-0.0037896663416177034,
-0.008511575870215893,
0.005277856718748808,
0.0027360371313989162,
0.04439808800816536,
0.036338068544864655,
-0.021150270476937294,
0.01533346064388752,
0.02505403943359852,
-0.004294631537050009,
-0.00598675012588501,
0.014896471984684467,
0.04634026065468788,
0.013109671883285046,
0.03189048916101456,
-0.029268555343151093,
-0.02732638269662857,
0.01348839607089758,
0.01125489640980959,
-0.06044044345617294,
0.02122795768082142,
0.02219904400408268,
-0.013197069987654686,
0.029501616954803467,
-0.0013777293497696519,
0.00797262229025364,
-0.023092444986104965,
0.01694546453654766,
-0.01806221529841423,
-0.034590110182762146,
0.06117846816778183,
-0.021053161472082138,
0.0060158828273415565,
-0.05356514826416969,
-0.0018644866067916155,
0.03884347155690193,
-0.02750117890536785,
-0.08056136220693588,
0.03418225422501564,
-0.03260909393429756,
-0.02175234444439411,
0.0017091127810999751,
-0.04839896783232689,
-0.009924506768584251,
0.0421840101480484,
0.02765655145049095,
0.013847697526216507,
-0.01524606253951788,
-0.04012530669569969,
-0.03657113015651703,
-0.018246721476316452,
-0.03981455788016319,
-0.028336312621831894,
-0.012876611202955246,
0.022898226976394653,
-0.04439808800816536,
-0.009550638496875763,
0.001357093802653253,
-0.0008466662839055061,
0.008375623263418674,
0.019382892176508904,
0.027695395052433014,
0.02922971360385418,
0.017829153686761856,
-0.008967986330389977,
0.07558939605951309,
0.05193372070789337,
-0.0006032876553945243,
-0.004464571364223957,
0.007933779619634151,
-0.009861386381089687,
-0.08273659646511078,
-0.09571031481027603,
0.028006143867969513,
0.007778405211865902,
0.025170570239424706,
-0.015042134560644627,
-0.01445948239415884,
0.027540022507309914,
-0.03439589589834213,
-0.0389794260263443,
-0.03241487592458725,
0.03097766824066639,
-0.013449552468955517,
-0.010342074558138847,
-0.03495912626385689,
0.036668237298727036,
-0.052011407911777496,
-0.04742787778377533,
-0.04634026065468788,
0.021674657240509987,
-0.013634058646857738,
0.02029571495950222,
0.03884347155690193,
-0.0014177866978570819,
0.028025565668940544,
0.049758486449718475,
-0.01222598273307085,
0.01678038015961647,
-0.02029571495950222,
0.006210099905729294,
0.026452405378222466,
0.034434739500284195,
-0.02142217569053173,
0.014935314655303955,
0.065140500664711,
0.04253360256552696,
-0.00010697128163883463,
-0.021344488486647606,
-0.047350190579891205,
-0.009220468811690807,
0.020975474268198013,
-0.04377659410238266,
0.018732264637947083,
0.044320400804281235,
0.033949196338653564,
0.011148076504468918,
-0.05799330398440361,
0.03431820869445801,
-0.03694014251232147,
-0.02829746901988983,
0.009016540832817554,
-0.010109013877809048,
0.004882138688117266,
0.02602512575685978,
0.022276731207966805,
0.056167662143707275,
-0.006117846816778183,
0.0029593869112432003,
0.020198605954647064,
-0.023092444986104965,
-0.007807537913322449,
0.004076136741787195,
-0.03416283428668976,
0.008812612853944302,
0.032511986792087555,
-0.05923629552125931,
0.009167059324681759,
-0.016877489164471626,
0.04715597629547119,
-0.039698027074337006,
0.04579645395278931,
-0.01188610214740038,
0.011711306869983673,
0.024393700063228607,
-0.009215613827109337,
0.038921158760786057,
-0.029190870001912117,
0.026452405378222466,
-0.0026534947101026773,
-0.023442035540938377,
0.024199483916163445,
0.03624095767736435,
0.006273220758885145,
-0.015760738402605057,
-0.038921158760786057,
0.030919402837753296,
-0.08056136220693588,
-0.013964228332042694,
-0.059663571417331696,
-0.05302133783698082,
-0.01222598273307085,
-0.033327698707580566,
0.013993361033499241,
-0.021499861031770706,
0.024471387267112732,
-0.037755854427814484,
0.040164150297641754,
-0.0007580546080134809,
0.03175453841686249,
0.02221846580505371,
-0.017528116703033447,
-0.020820101723074913,
-0.008040598593652248,
-0.0418732613325119,
0.01741158589720726,
0.021014317870140076,
-0.0056954240426421165,
-0.09990540891885757,
-0.014032204635441303,
-0.042261697351932526,
0.0021764482371509075,
-0.05259406194090843,
0.030084269121289253,
-0.010691666044294834,
0.04268897697329521,
0.07271497696638107,
-0.001152558601461351,
-0.02190771885216236,
-0.033638447523117065,
-0.00239372905343771,
0.024354856461286545,
-0.018897349014878273,
-0.0060158828273415565,
-0.01594524458050728,
0.05037998408079147,
-0.006598534993827343,
-0.01301256287842989,
-0.03660997375845909,
0.05744949355721474,
-0.011837547644972801,
0.002418006071820855,
0.01947029121220112,
0.03051154688000679,
-0.012255115434527397,
0.06440247595310211,
0.003532328177243471,
0.0037848108913749456,
-0.05476929619908333,
0.002288123359903693,
0.038571566343307495,
0.029190870001912117,
-0.0018863361328840256,
0.007584188133478165,
0.014391506090760231,
0.045291487127542496,
-0.006292642559856176,
0.001642350573092699,
0.032026443630456924,
0.022606899961829185,
0.025306522846221924,
-0.029035495594143867,
-0.03884347155690193,
0.002988519612699747,
-0.011963789351284504,
0.04377659410238266,
-0.014119601808488369,
-0.019217807799577713,
-0.0009395264787599444,
0.007875514216721058,
0.037114936858415604,
-0.00022972271835897118,
0.032647937536239624,
0.0016399228479713202,
0.020684149116277695,
-0.04707828909158707,
-0.016498764976859093,
-0.007147199008613825,
0.015119821764528751,
-0.007438525091856718,
-0.0699959397315979,
-0.027248695492744446,
-0.002348816255107522,
0.03134668245911598,
0.04202863574028015,
0.022917648777365685,
-0.019246939569711685,
0.00006368963659042493,
0.027112742885947227,
0.010371207259595394,
0.0008503078715875745,
-0.0006312064360827208,
0.015294617041945457,
0.007511356379836798,
-0.03480375185608864,
-0.003260423894971609,
0.007079222705215216,
0.027345804497599602,
0.04377659410238266,
0.0220242477953434,
-0.010390629060566425,
0.01595495641231537,
-0.03051154688000679,
0.016401655972003937,
-0.01807192526757717,
0.006535414140671492,
0.0014165728352963924,
0.004726765211671591,
0.002409509150311351,
-0.03925132751464844,
0.036668237298727036,
-0.025209413841366768,
0.0035930210724473,
-0.01014785747975111,
0.06793723255395889,
0.014731386676430702,
-0.01626570336520672,
-0.030317330732941628,
-0.009128215722739697,
-0.04039721190929413,
0.01695517636835575,
-0.009050528518855572,
0.06517934799194336,
0.026918526738882065,
-0.030725186690688133,
0.04117408022284508,
0.03767816722393036,
0.034551266580820084,
0.010303230956196785,
0.013371865265071392,
0.007637597620487213,
-0.021150270476937294,
0.06494628638029099,
0.013789432123303413,
-0.04152367264032364,
-0.02876359038054943,
-0.006350907497107983,
0.016197727993130684,
0.05177835002541542,
0.017295055091381073,
-0.0018414233345538378,
0.04366006329655647,
-0.019732484593987465,
-0.0019009023671969771,
-0.006414028350263834,
0.021363910287618637,
-0.10635342448949814,
-0.029637569561600685,
0.03369671106338501,
0.0218688752502203,
0.054380860179662704,
-0.011118943803012371,
-0.006006171926856041,
0.023442035540938377,
0.01885850541293621,
0.018237009644508362,
0.04478652402758598,
0.05410895496606827,
-0.029268555343151093,
0.08335809409618378,
0.0017831581644713879,
-0.009035962633788586,
-0.0218688752502203,
0.0559346005320549,
-0.01851862482726574,
-0.006579113192856312,
-0.025675535202026367,
-0.01870313100516796,
0.017809731885790825,
0.06362560391426086,
-0.02619992196559906,
0.02969583496451378,
0.018169034272432327,
-0.022606899961829185,
-0.029948316514492035,
0.0325702503323555,
-0.007054945454001427,
-0.016741536557674408,
0.017780600115656853,
-0.06653887033462524,
0.0282780472189188,
0.05671146884560585,
0.029287977144122124,
0.0015039707068353891,
0.04179557412862778,
0.037134360522031784,
-0.024238325655460358,
-0.00807944219559431,
-0.025792066007852554,
-0.00999248307198286,
0.023616831749677658,
0.000610570830758661,
0.03342480584979057,
-0.017207657918334007,
-0.0325702503323555,
0.025908594951033592,
-0.008963131345808506,
0.035386402159929276,
0.013158226385712624,
-0.0026801996864378452,
0.007865803316235542,
-0.028549952432513237,
-0.021830031648278236,
0.04331047087907791,
-0.0008879374945536256,
0.008429033681750298,
0.020179184153676033,
-0.02074241451919079,
-0.028472265228629112,
0.029676413163542747,
-0.04556339234113693,
0.02553958259522915,
0.01885850541293621,
-0.011206341907382011,
0.00435046898201108,
-0.027578864246606827,
0.057255279272794724,
0.014284687116742134,
-0.036959562450647354,
-0.06739342212677002,
0.0373285748064518,
0.006049870979040861,
-0.0034085146617144346,
-0.020645305514335632,
-0.008516430854797363,
0.0028161518275737762,
-0.07648279517889023,
-0.04599067196249962,
-0.015148954465985298,
-0.005345833022147417,
-0.01627541519701481,
0.019547976553440094,
-0.010070170275866985,
-0.00475589744746685,
0.048632025718688965,
-0.0027797359507530928,
-0.028569374233484268,
-0.04645679146051407,
-0.01127431821078062,
0.017295055091381073,
0.0012266039848327637,
-0.01492560375481844,
0.002241996582597494,
-0.033793821930885315,
0.010740219615399837,
-0.024354856461286545,
0.01917896419763565,
0.005821665283292532,
-0.015469412319362164,
-0.008535852655768394,
0.06525703519582748,
0.004554396960884333,
-0.034434739500284195,
0.0002931468188762665,
0.008497009053826332,
0.009982772171497345,
-0.016683271154761314,
-0.021791188046336174,
0.006321775261312723,
-0.0025175425689667463,
0.033152904361486435,
0.032201237976551056,
-0.006880150176584721,
0.029501616954803467,
0.03165743127465248,
-0.0020829811692237854,
0.04101870581507683,
0.0495254285633564,
-0.015935534611344337,
0.020198605954647064,
-0.021791188046336174,
-0.01063340064138174,
0.031871069222688675,
0.025675535202026367,
0.053099025040864944,
-0.0034740630071610212,
-0.0014323530485853553,
-0.005258434917777777,
-0.030919402837753296,
-0.01787770725786686,
0.006943270564079285,
-0.05787677317857742,
0.02474329248070717,
-0.015537388622760773,
0.02235441841185093,
0.028996651992201805,
-0.00383336516097188,
-0.014605145901441574,
-0.05158413201570511,
0.006875294726341963,
0.022975914180278778,
0.018596312031149864,
0.016382234171032906,
-0.0159743782132864,
-0.00773956160992384,
-0.04428155720233917,
0.06824798136949539,
0.0008308861288242042,
0.017770888283848763,
0.037464529275894165,
-0.02412179671227932,
-0.010759641416370869,
0.013002851977944374,
0.01271152589470148,
-0.011876391246914864,
-0.030628077685832977,
0.005442941561341286,
-0.01740187592804432,
0.014187578111886978,
-0.04237822815775871,
0.06836450845003128,
0.002268701558932662,
-0.007336560636758804,
-0.024976352229714394,
0.0066276672296226025,
0.02379162609577179,
-0.03637691214680672,
-0.023675095289945602,
0.016702692955732346,
0.059352826327085495,
-0.028647061437368393,
0.04459230601787567,
0.008171695284545422,
0.019528554752469063,
-0.03387150913476944,
-0.053759366273880005,
-0.00570999039337039,
-0.05958588793873787,
0.0026850549038499594,
-0.008492154069244862,
0.04195094853639603,
-0.01820787787437439,
-0.014702253974974155,
0.0020987612660974264,
-0.010439183562994003,
-0.016858067363500595,
0.04214516654610634,
-0.04525264352560043,
-0.019421735778450966,
0.018285565078258514,
0.010448893532156944,
0.018625445663928986,
-0.032511986792087555,
-0.0032579961698502302,
0.03276446834206581,
-0.022082513198256493,
-0.008890300057828426,
0.023092444986104965,
0.01614917442202568,
-0.0006894716061651707,
0.03192933276295662,
-0.0014505608705803752,
-0.01821758784353733,
-0.0034764907322824,
-0.011895813047885895,
-0.007530778180807829,
0.02462676167488098,
-0.006365473847836256,
-0.00005287870953907259,
0.004416017327457666,
0.005117627326399088,
-0.00022456381702795625,
0.022762274369597435,
-0.04055258631706238,
0.011517089791595936,
-0.009482662193477154,
-0.022975914180278778,
-0.017460141330957413,
-0.01188610214740038,
0.044165026396512985,
-0.008618395775556564,
0.0030395016074180603,
-0.025481317192316055,
0.03142436966300011,
-0.021480439230799675,
0.021169692277908325,
-0.0489039309322834,
0.01852833665907383,
0.05845942720770836,
0.006418883800506592,
-0.01501300185918808,
-0.018402094021439552,
0.0282780472189188,
-0.027598286047577858,
0.010390629060566425,
0.0007871872512623668,
0.04253360256552696,
0.0028671338222920895,
0.00028586367261596024,
-0.009871097281575203,
0.024704448878765106,
0.006549980491399765,
0.008982553146779537,
-0.0181981660425663,
0.03981455788016319,
0.028083831071853638,
-0.015226640738546848,
-0.004246077034622431,
0.01454688049852848,
0.058381740003824234,
0.0014651272213086486,
0.02377220429480076,
-0.031851645559072495,
0.00711321085691452,
-0.011216052807867527,
0.022975914180278778,
0.006768474821001291,
-0.0018887638580054045,
-0.012624128721654415,
-0.0022347134072333574,
0.005777966696768999,
-0.009613758884370327,
-0.061256155371665955,
0.002636500634253025,
-0.07267613708972931,
-0.005642014089971781,
-0.02379162609577179,
-0.005554616451263428,
0.01549854502081871,
0.027889613062143326,
0.022121356800198555,
-0.012410488910973072,
0.02124737948179245,
-0.0035299004521220922,
-0.027889613062143326,
0.014449771493673325,
0.03845503553748131,
0.010410050861537457,
-0.003860070137307048,
0.0024507802445441484,
-0.02089778706431389,
-0.0038430760614573956,
-0.0066519444808363914,
0.003580882679671049,
-0.016022931784391403,
0.002990947337821126,
-0.007691007573157549,
0.03565830737352371,
-0.005073928739875555,
-0.016022931784391403,
-0.003398803761228919,
0.012818345800042152,
0.008652383461594582,
-0.017363032326102257,
-0.034259941428899765,
-0.0206258837133646,
0.013080539181828499,
0.0005319734918884933,
-0.035561200231313705,
0.01271152589470148,
-0.004379601683467627,
-0.015624786727130413,
0.0075162118300795555,
0.00925931241363287,
-0.028549952432513237,
0.029928894713521004,
-0.018110768869519234,
0.009982772171497345,
0.009395265020430088,
-0.016867777332663536,
-0.019868435338139534,
0.03740626201033592,
0.014342951588332653,
-0.03336654230952263,
0.0016775524709373713,
0.0374256856739521,
-0.0073802596889436245,
-0.0003802411665674299,
-0.028316890820860863,
0.019441157579421997,
0.025520160794258118,
-0.017275633290410042,
0.036823611706495285,
0.001034207409247756,
0.002956959418952465,
-0.007836670614778996,
-0.02239326201379299,
0.0012284248368814588,
0.028666483238339424,
0.0014044343261048198,
0.01898474618792534,
0.009803120978176594,
-0.03919306397438049,
-0.007734706159681082,
0.03783354163169861,
-0.057604867964982986,
-0.05236100032925606,
-0.017528116703033447,
0.013527238741517067,
0.00813285168260336,
-0.005909063387662172,
-0.009366132318973541,
0.005952761974185705,
0.043388158082962036,
-0.01286690030246973,
0.0011695526773110032,
-0.006195534020662308,
0.027054477483034134,
-0.041445985436439514,
0.03177395835518837,
0.01678038015961647,
-0.013682613149285316,
0.017042573541402817,
-0.03053096868097782,
0.018314696848392487,
0.008511575870215893,
0.017518406733870506,
0.009327288717031479,
0.04925352334976196,
-0.04086333140730858,
-0.012565863318741322,
-0.07683239132165909,
0.02750117890536785,
-0.026782574132084846,
0.04047489911317825,
0.011837547644972801,
0.041445985436439514,
0.03373555466532707,
0.007904646918177605,
-0.009681735187768936,
0.02299533598124981,
0.03161858767271042,
-0.03192933276295662,
-0.019266361370682716,
-0.006438305601477623,
0.010419761762022972,
-0.017003729939460754,
0.021519282832741737,
-0.025753222405910492,
-0.016217149794101715,
0.012643550522625446,
-0.0077881161123514175,
-0.04536917433142662,
-0.005044796038419008,
0.02907433919608593,
-0.018800240010023117,
0.0406302735209465,
-0.048165906220674515,
0.009963350370526314,
-0.014158445410430431,
0.01356608234345913,
-0.023092444986104965,
-0.0036342923995107412,
0.014352662488818169,
-0.023092444986104965,
0.018741974607110023,
-0.0015925823245197535,
0.0017649502260610461,
-0.04509727284312248,
-0.004299486987292767,
0.08460108190774918,
-0.01808163709938526,
0.04937005415558815,
0.007210319396108389,
-0.02462676167488098,
-0.03678476810455322,
0.006025593727827072,
0.023519722744822502,
0.012624128721654415,
0.042883194983005524,
-0.004491276573389769,
-0.0023391053546220064,
0.006719920784235001,
-0.01679009012877941,
-0.010662533342838287,
-0.010089592076838017,
-0.004156251437962055,
0.002130321692675352,
-0.0016544890822842717,
0.020062653347849846,
-0.028549952432513237
] |
A kidney exchange program, also called a kidney paired donation program, can
be viewed as a repeated, dynamic trading and allocation mechanism. This
suggests that a dynamic algorithm for transplant exchange selection may have
superior performance in comparison to the repeated use of a static algorithm.
We confirm this hypothesis using a full scale simulation of the Canadian Kidney
Paired Donation Program: learning algorithms, that attempt to learn optimal
patient-donor weights in advance via dynamic simulations, do lead to improved
outcomes. Specifically, our learning algorithms, designed with the objective of
fairness (that is, equity in terms of transplant accessibility across cPRA
groups), also lead to an increased number of transplants and shorter average
waiting times. Indeed, our highest performing learning algorithm improves
egalitarian fairness by 10% whilst also increasing the number of transplants by
6% and decreasing waiting times by 24%. However, our main result is much more
surprising. We find that the most critical factor in determining the
performance of a kidney exchange program is not the judicious assignment of
positive weights (rewards) to patient-donor pairs. Rather, the key factor in
increasing the number of transplants, decreasing waiting times and improving
group fairness is the judicious assignment of a negative weight (penalty) to
the small number of non-directed donors in the kidney exchange program. | [
-0.038214270025491714,
-0.033647652715444565,
-0.03341932222247124,
0.026527883484959602,
-0.01611807756125927,
0.031737975776195526,
-0.01707291416823864,
0.022480202838778496,
-0.06675561517477036,
0.020103486254811287,
-0.019978942349553108,
-0.05724875256419182,
-0.003417177591472864,
-0.04599827155470848,
-0.0022015757858753204,
0.0647629126906395,
0.0035443163942545652,
0.008552025072276592,
0.01189395785331726,
-0.026382582262158394,
-0.03140585869550705,
-0.027046818286180496,
-0.0034301509149372578,
0.017353137955069542,
0.03505915403366089,
0.005269770510494709,
0.018992969766259193,
-0.007867032662034035,
-0.08016485720872879,
0.006081901490688324,
0.025261687114834785,
0.013440379872918129,
-0.02407851815223694,
-0.004283796530216932,
-0.03047177940607071,
-0.006621592212468386,
-0.0034586922265589237,
-0.028022412210702896,
-0.017695635557174683,
-0.009045012295246124,
-0.027275148779153824,
-0.017488062381744385,
-0.020695071667432785,
0.0016294514061883092,
0.013513030484318733,
-0.029330125078558922,
-0.042967699468135834,
-0.0010469484841451049,
-0.034602489322423935,
-0.046496447175741196,
0.012994096614420414,
-0.011862821877002716,
0.023455796763300896,
-0.007389613892883062,
0.00035417216713540256,
0.05899236723780632,
-0.032734330743551254,
0.03215312585234642,
0.06459685415029526,
-0.004961004946380854,
0.03568187355995178,
0.008780356496572495,
-0.03292114660143852,
0.034664761275053024,
0.007259880658239126,
-0.06061144173145294,
-0.04877975583076477,
0.08190847188234329,
-0.011271237395703793,
0.04132787138223648,
-0.04877975583076477,
0.01673041842877865,
-0.030222691595554352,
0.038214270025491714,
-0.021587636321783066,
-0.017311623319983482,
0.06966163963079453,
0.015588765032589436,
0.0036636709701269865,
0.07987425476312637,
-0.009911631233990192,
0.01849479228258133,
0.00010240829578833655,
-0.040020156651735306,
0.024286091327667236,
0.023289738222956657,
0.06268717348575592,
-0.07568126916885376,
0.0001513015740783885,
-0.02839604578912258,
-0.029724515974521637,
-0.04421314224600792,
-0.020954538136720657,
0.005376151762902737,
-0.007560862228274345,
0.014571654610335827,
-0.04500192031264305,
-0.020529013127088547,
-0.001235061907209456,
0.0050284662283957005,
-0.05795450136065483,
0.000033953660022234544,
-0.03875396028161049,
-0.020996052771806717,
0.053886063396930695,
-0.018681608140468597,
-0.00901387631893158,
0.035391271114349365,
0.025282444432377815,
0.17618833482265472,
-0.03752927482128143,
0.03696882724761963,
-0.024306848645210266,
0.0013803633628413081,
-0.03844260051846504,
0.0010197045048698783,
-0.01016071904450655,
-0.05787147209048271,
0.05355394631624222,
-0.022251872345805168,
0.04244876652956009,
0.08593539893627167,
0.028022412210702896,
-0.02082999423146248,
-0.030845411121845245,
0.05455029755830765,
-0.024659723043441772,
0.006756515242159367,
0.015100967139005661,
0.04483586177229881,
0.001026191166602075,
0.004382394254207611,
-0.05164426937699318,
-0.00577054126188159,
0.022355658933520317,
0.06081901490688324,
0.028167715296149254,
0.00494803162291646,
-0.001988812815397978,
0.009070958942174911,
0.01041499711573124,
-0.020778100937604904,
-0.028229987248778343,
-0.025137143209576607,
0.015443462878465652,
0.024140790104866028,
-0.02478426694869995,
0.046454932540655136,
-0.04408859834074974,
0.033772196620702744,
0.023414282128214836,
-0.021587636321783066,
-0.018743880093097687,
0.005108900833874941,
0.07281675934791565,
-0.010866468772292137,
0.008904900401830673,
-0.04305072873830795,
0.002350769005715847,
0.059241458773612976,
0.006356936413794756,
0.009335614740848541,
0.0010897604515776038,
0.07099011540412903,
-0.000583151588216424,
0.041805289685726166,
-0.013471515849232674,
-0.01292144600301981,
-0.045666154474020004,
0.060237810015678406,
-0.04699462279677391,
-0.03437415882945061,
0.0266316719353199,
0.01294220332056284,
-0.04026924446225166,
0.033689167350530624,
-0.0003733078483492136,
0.038235027343034744,
-0.023435039445757866,
-0.04765886068344116,
-0.014125372283160686,
0.03970879688858986,
-0.03310796245932579,
0.030118905007839203,
0.04753431677818298,
-0.03379295393824577,
0.05048185959458351,
0.0010132178431376815,
0.024286091327667236,
0.007820328697562218,
0.019802505150437355,
0.019968563690781593,
0.03591020405292511,
0.030907683074474335,
-0.02021765150129795,
-0.010700410231947899,
0.010586244985461235,
-0.024120032787322998,
0.04442071542143822,
0.007233934011310339,
-0.024680480360984802,
-0.06746136397123337,
-0.005697890650480986,
-0.012495920062065125,
0.008853007107973099,
-0.030201934278011322,
0.03225691244006157,
-0.03493461012840271,
0.022251872345805168,
-0.07148829102516174,
-0.0513121522963047,
0.026299552991986275,
-0.04574918374419212,
-0.012651600874960423,
-0.0347893051803112,
-0.021380063146352768,
0.03485157713294029,
0.05135366693139076,
0.005786109250038862,
-0.015557628124952316,
-0.0072858273051679134,
0.026071222499012947,
0.03115677274763584,
-0.007560862228274345,
0.0029968414455652237,
-0.01294220332056284,
0.031779490411281586,
0.03043026477098465,
0.003993194084614515,
-0.01843252032995224,
0.0398748554289341,
-0.04325830191373825,
0.011925093829631805,
0.00989606324583292,
-0.04232422262430191,
-0.06795953959226608,
-0.014187644235789776,
-0.04215816408395767,
-0.0027140225283801556,
-0.02771105244755745,
-0.018951453268527985,
0.014467868022620678,
-0.00150231271982193,
0.028146957978606224,
0.012630843557417393,
0.0359724760055542,
-0.031779490411281586,
0.06696318835020065,
0.05239153280854225,
0.003243334824219346,
-0.02019689418375492,
0.0198336411267519,
0.004278607200831175,
-0.0018253488233312964,
-0.01715594343841076,
0.05060640349984169,
0.023663371801376343,
0.0018227541586384177,
-0.0002453582710586488,
0.006071522831916809,
0.04915338754653931,
0.04973459243774414,
0.005474749021232128,
0.03300417587161064,
-0.036532923579216,
0.009989471174776554,
0.033647652715444565,
0.002903433283790946,
-0.04037303104996681,
0.03163418918848038,
-0.07144677639007568,
-0.0036844282876700163,
0.01599353365600109,
-0.04031075909733772,
0.04890429973602295,
-0.035432785749435425,
-0.039127591997385025,
0.021629150956869125,
0.029662244021892548,
0.0377160906791687,
0.014716955833137035,
0.013596059754490852,
-0.0025440717581659555,
-0.006138984113931656,
-0.0458737276494503,
-0.029101794585585594,
-0.062105968594551086,
0.008022713474929333,
-0.01977136917412281,
0.0031914415303617716,
-0.028022412210702896,
-0.053055766969919205,
0.04691159352660179,
0.009901252575218678,
0.10362065583467484,
-0.012028880417346954,
-0.013305457308888435,
-0.035474300384521484,
0.01940811611711979,
0.010186665691435337,
-0.013948934152722359,
-0.00426822854205966,
0.013502651825547218,
0.006512616295367479,
0.002156168920919299,
-0.040061671286821365,
-0.029039522632956505,
0.017363516613841057,
-0.055837251245975494,
-0.034706275910139084,
0.05546361953020096,
-0.009024254977703094,
0.03952198103070259,
0.014737713150680065,
0.08460693061351776,
-0.006751325912773609,
0.038276541978120804,
-0.02133854851126671,
0.0028255933430045843,
-0.023538827896118164,
0.02667318657040596,
-0.012672358192503452,
-0.052931223064661026,
0.014831122010946274,
-0.02221035771071911,
-0.036346107721328735,
0.0369480699300766,
0.043797992169857025,
-0.04994216561317444,
0.013689467683434486,
-0.04770037531852722,
-0.010404618456959724,
-0.04491889104247093,
-0.0015217727050185204,
-0.010150340385735035,
-0.005838002543896437,
-0.016367165371775627,
-0.030762381851673126,
0.012734630145132542,
-0.007887789979577065,
-0.00973519403487444,
0.000022764155801269226,
-0.03609701991081238,
-0.04508494958281517,
-0.0330456905066967,
-0.06555169075727463,
-0.019574174657464027,
-0.009356372058391571,
0.011343888007104397,
-0.06646501272916794,
0.001340145943686366,
0.024472907185554504,
0.018017373979091644,
0.019605310633778572,
0.04122408479452133,
-0.023435039445757866,
-0.00300462543964386,
-0.008396345190703869,
0.00806941743940115,
-0.017384273931384087,
0.07480946183204651,
-0.021141353994607925,
-0.03574414551258087,
-0.01715594343841076,
-0.03341932222247124,
0.02221035771071911,
0.0034042042680084705,
0.0003176846366841346,
-0.024472907185554504,
0.0375085175037384,
-0.00003204820313840173,
0.012578950263559818,
0.05135366693139076,
0.004844245035201311,
-0.019594931975007057,
0.02405776083469391,
-0.04334133118391037,
0.0171144288033247,
-0.04157695919275284,
0.03759154677391052,
-0.011146693490445614,
-0.038131240755319595,
-0.030160419642925262,
0.052100930362939835,
0.02380867302417755,
0.01786169409751892,
0.02580137737095356,
-0.033543866127729416,
0.011167450807988644,
0.04890429973602295,
-0.007026360835880041,
-0.03038875013589859,
-0.04865521192550659,
0.0051218741573393345,
-0.013938555493950844,
-0.004870191682130098,
0.006159741431474686,
0.009600271470844746,
0.04857218265533447,
-0.055671192705631256,
0.012537435628473759,
-0.03431188687682152,
-0.06061144173145294,
0.01476884912699461,
0.021857481449842453,
-0.03972955420613289,
-0.01845327764749527,
-0.0552145317196846,
0.010907983407378197,
0.007773624733090401,
-0.017996616661548615,
0.04226195067167282,
-0.061151131987571716,
0.011738277040421963,
0.01760222762823105,
0.04089196398854256,
-0.018909938633441925,
0.012205317616462708,
0.01966758258640766,
-0.06355898082256317,
-0.01887880265712738,
0.009070958942174911,
0.029101794585585594,
0.023663371801376343,
-0.02501259744167328,
0.05459181219339371,
0.054923929274082184,
0.028209229931235313,
-0.011717519722878933,
-0.018266461789608,
0.027275148779153824,
0.08859234303236008,
-0.03420810028910637,
0.010959876701235771,
-0.048281580209732056,
0.036242321133613586,
-0.023642614483833313,
-0.0034820442087948322,
-0.01668890379369259,
-0.02382943034172058,
0.05554664880037308,
-0.035308241844177246,
-0.05616936832666397,
0.0377160906791687,
-0.02212732844054699,
0.00798638816922903,
0.02034219540655613,
-0.020653557032346725,
-0.01571330800652504,
-0.0031447375658899546,
-0.07510006427764893,
-0.008780356496572495,
0.006330989766865969,
-0.015484977513551712,
0.004312337841838598,
-0.008816681802272797,
0.005059602204710245,
-0.08062151819467545,
0.025137143209576607,
0.010062121786177158,
-0.021442335098981857,
0.027171362191438675,
0.024493664503097534,
-0.015557628124952316,
0.0649704858660698,
0.07202798128128052,
-0.05903388187289238,
-0.05737329646945,
0.02843756042420864,
0.01476884912699461,
-0.009922009892761707,
-0.014955665916204453,
-0.027295906096696854,
0.03312871977686882,
0.03885774686932564,
-0.009403076022863388,
0.024140790104866028,
-0.02955845557153225,
0.002719211857765913,
0.003310796106234193,
-0.008827060461044312,
-0.018712744116783142,
0.013170533813536167,
0.00012357105151750147,
0.011354266665875912,
0.0019018915481865406,
0.0026595345698297024,
0.0480324923992157,
-0.018588200211524963,
0.014955665916204453,
-0.011862821877002716,
-0.00020043809490744025,
-0.04305072873830795,
0.022667018696665764,
-0.02957921288907528,
0.03169646114110947,
-0.05442575365304947,
-0.10528124123811722,
0.016823826357722282,
-0.008858196437358856,
0.02399548888206482,
-0.056709062308073044,
0.008847817778587341,
-0.07489249110221863,
-0.021898996084928513,
-0.032568272203207016,
-0.02074696496129036,
-0.010814575478434563,
-0.028748920187354088,
-0.024638965725898743,
0.025095628574490547,
0.030035875737667084,
-0.028292259201407433,
-0.02592592127621174,
-0.030866168439388275,
0.03302493318915367,
0.02380867302417755,
0.003871244378387928,
0.02845831774175167,
0.02939239703118801,
0.015661414712667465,
0.028126200661063194,
-0.03620080649852753,
0.03200782462954521,
-0.059449031949043274,
0.01792396605014801,
0.059449031949043274,
0.013471515849232674,
0.02675621584057808,
-0.01152032520622015,
0.0028333773370832205,
0.04886278510093689,
0.018619336187839508,
-0.01611807756125927,
-0.031073741614818573,
-0.03696882724761963,
0.03395901247859001,
0.019293950870633125,
-0.021629150956869125,
-0.010056932456791401,
-0.0025635319761931896,
0.0643477663397789,
0.0005413125618360937,
-0.02200278267264366,
0.01565103605389595,
0.0166266318410635,
0.04408859834074974,
-0.02389170229434967,
-0.01668890379369259,
-0.024638965725898743,
-0.0018551875837147236,
-0.01246478408575058,
-0.038276541978120804,
0.011229722760617733,
0.03317023441195488,
0.01964682526886463,
0.018930695950984955,
-0.05280667915940285,
-0.01051359437406063,
-0.041909076273441315,
-0.01802775263786316,
0.003484638873487711,
0.018588200211524963,
-0.03896153345704079,
-0.0021717369090765715,
0.047409772872924805,
0.013118640519678593,
0.06675561517477036,
-0.007799571845680475,
-0.008001956157386303,
-0.0035235590767115355,
-0.020228030160069466,
-0.04080893471837044,
-0.009371940046548843,
-0.017934344708919525,
0.01915902830660343,
-0.0029060279484838247,
-0.006600834894925356,
-0.04815703630447388,
-0.020207272842526436,
-0.0019382168538868427,
-0.01660587452352047,
0.00919550284743309,
0.004452450200915337,
0.045500095933675766,
-0.010176287032663822,
-0.0349968820810318,
-0.039272893220186234,
0.013222427107393742,
0.020010078325867653,
-0.020248787477612495,
0.026984546333551407,
-0.004190388601273298,
0.02756575122475624,
-0.026258038356900215,
-0.03049253672361374,
-0.012226074934005737,
-0.012682736851274967,
0.029745273292064667,
-0.062105968594551086,
0.013212048448622227,
0.0044913701713085175,
0.0065489416010677814,
-0.021504607051610947,
0.042718611657619476,
0.046496447175741196,
0.007291016634553671,
0.036429136991500854,
0.008785545825958252,
-0.020487496629357338,
0.028313016518950462,
-0.04213740676641464,
0.03522521257400513,
-0.014021584764122963,
0.056459974497556686,
-0.009641786105930805,
0.051976386457681656,
0.03784063458442688,
-0.002441582502797246,
-0.02578062005341053,
0.016699282452464104,
-0.02133854851126671,
0.07426977157592773,
0.001892810221761465,
0.03028496354818344,
0.030741624534130096,
-0.006533373612910509,
-0.03292114660143852,
-0.012641222216188908,
-0.01932508684694767,
0.004117737989872694,
-0.03341932222247124,
-0.009226638823747635,
-0.022334901615977287,
0.028894221410155296,
0.006543752271682024,
-0.0029190012719482183,
0.06293626129627228,
0.028894221410155296,
0.03047177940607071,
-0.01430180948227644,
0.04790794849395752,
0.042926184833049774,
0.07667762786149979,
-0.0044628288596868515,
0.00022411443933378905,
0.01993742771446705,
-0.00598849356174469,
0.05629391595721245,
0.0591169111430645,
-0.032672058790922165,
0.09714436531066895,
0.0408504493534565,
0.027295906096696854,
0.0038089724257588387,
-0.028852706775069237,
-0.0073792352341115475,
-0.0065956455655395985,
0.005469559691846371,
0.039065320044755936,
-0.029039522632956505,
0.026278795674443245,
0.02198202535510063,
-0.0020562743302434683,
0.0334608368575573,
0.00486759701743722,
0.026278795674443245,
0.017311623319983482,
0.0035131804179400206,
0.01762298494577408,
-0.03512142598628998,
-0.015941640362143517,
-0.05135366693139076,
0.03678201138973236,
0.0002884946297854185,
-0.012132667005062103,
0.026050465181469917,
0.032713573426008224,
0.010741924867033958,
-0.011748655699193478,
-0.0230406504124403,
-0.05181032791733742,
-0.026195766404271126,
-0.0068135978654026985,
0.04222043603658676,
-0.01940811611711979,
-0.034581732004880905,
0.006798029877245426,
-0.0388992615044117,
-0.025593804195523262,
-0.046537961810827255,
-0.04300921410322189,
0.028333773836493492,
-0.014872636646032333,
0.0536784902215004,
-0.011323130689561367,
0.005295717157423496,
0.016979506239295006,
0.004519911482930183,
-0.0046314820647239685,
0.00802790280431509,
-0.01201850175857544,
0.0067201899364590645,
0.03867093101143837,
-0.03476854786276817,
0.04529252275824547,
0.00024649343686178327,
-0.015568007715046406,
0.008401534520089626,
-0.030803896486759186,
0.008692136965692043,
0.04051833227276802,
-0.030969955027103424,
0.058618735522031784,
-0.001917459536343813,
-0.005020682234317064,
-0.0009684597607702017,
-0.020985674113035202,
-0.012392133474349976,
0.005775730591267347,
-0.022397173568606377,
0.02567683346569538,
0.031841762363910675,
-0.0017981048440560699,
0.005438423715531826,
0.04500192031264305,
-0.013668710365891457,
-0.007233934011310339,
0.014031963422894478,
-0.00003332526466692798,
0.037259429693222046,
0.008084985427558422,
-0.028852706775069237,
0.014779227785766125,
0.026071222499012947,
0.04487737640738487,
0.020093107596039772,
0.059241458773612976,
0.025240929797291756,
-0.02592592127621174,
-0.014104614965617657,
0.0038219457492232323,
0.04400556534528732,
0.02771105244755745,
-0.007664648815989494,
-0.01246478408575058,
0.04396405071020126,
0.00190318888053298,
0.00946015864610672,
-0.03761230409145355,
0.027005303651094437,
-0.02060166373848915,
0.01421878021210432,
0.010804196819663048,
-0.05596179515123367,
0.017612606287002563,
0.012672358192503452,
-0.04354890435934067,
0.04529252275824547,
0.027233634144067764,
-0.029994361102581024,
0.01991667039692402,
0.012776144780218601,
0.0266316719353199,
0.016958748921751976,
0.0344364307820797,
-0.020798858255147934,
-0.009003497660160065,
-0.000935377785935998,
-0.0347893051803112,
0.0029605161398649216,
-0.008863385766744614,
0.010690031573176384,
-0.060196295380592346,
-0.0040476820431649685,
0.017913587391376495,
0.02080923691391945,
-0.0027451585046947002,
0.023704886436462402,
0.029973603785037994,
0.012236453592777252,
0.004880570340901613,
0.05413515120744705,
-0.010570676997303963,
-0.003938705660402775,
0.004455044865608215,
0.03281736001372337,
0.013637574389576912,
-0.024452149868011475,
-0.021079082041978836,
-0.03296266123652458,
-0.013689467683434486,
0.05828661844134331,
0.004582183435559273,
0.011551461182534695,
-0.005578536074608564,
-0.0010884631192311645,
0.009646975435316563,
-0.01970909722149372,
-0.024410635232925415,
-0.02214808575809002,
-0.025074871256947517,
-0.0022742263972759247,
-0.02212732844054699,
-0.03497612476348877,
-0.01287993136793375,
-0.008276990614831448,
-0.0027944573666900396,
-0.03717640042304993,
0.018017373979091644,
-0.026133494451642036,
0.005469559691846371,
0.00009859738202067092,
-0.00040866018389351666,
0.02289534918963909,
-0.025406988337635994,
-0.023538827896118164,
0.059324488043785095,
-0.05803753063082695,
0.022272629663348198,
0.0065385629422962666,
-0.04807400703430176,
-0.013699846342206001,
0.01991667039692402,
-0.021857481449842453,
-0.029143309220671654,
0.05455029755830765,
0.004872786346822977,
0.009335614740848541,
0.013751739636063576,
0.03570263087749481,
0.012371376156806946,
0.012309104204177856,
-0.016875719651579857,
-0.002022543689236045,
0.07240161299705505,
0.009231828153133392,
0.0032018201891332865,
0.006242770701646805,
0.05405212193727493,
0.04894581437110901,
-0.016637010499835014,
-0.021629150956869125,
-0.007841086015105247,
-0.043839506804943085,
0.0012921446468681097,
-0.008370398543775082,
0.021359305828809738,
-0.012828038074076176,
-0.007846275344491005,
0.013814011588692665,
0.004478396847844124,
-0.01386590488255024,
-0.008204340003430843,
-0.005594104062765837,
0.0016852368135005236,
0.010607002303004265,
0.015152860432863235,
-0.021245140582323074,
0.021245140582323074,
0.02382943034172058,
0.029662244021892548,
-0.004543263465166092,
-0.053803034126758575,
0.03285887464880943,
-0.02569759078323841,
0.011375023983418941,
-0.03564035892486572,
-0.035557329654693604,
-0.07804761081933975,
0.02656939998269081,
0.07700974494218826,
0.007742488756775856,
0.05621088668704033,
-0.03238145634531975,
-0.019584553316235542,
-0.0016852368135005236,
-0.02669394388794899,
0.02395397424697876,
-0.020010078325867653,
-0.005422855727374554,
-0.014021584764122963,
-0.034581732004880905,
0.0074103716760873795,
0.059449031949043274,
-0.0006162336212582886,
-0.029309367761015892,
-0.00993757788091898,
0.00426822854205966,
-0.015412326902151108,
-0.00044466121471486986,
0.018079645931720734,
-0.039272893220186234,
0.00833407323807478,
0.014249916188418865,
-0.040144700556993484,
-0.008157636038959026,
-0.02299913577735424,
-0.006637160200625658,
0.025074871256947517,
-0.01518399640917778,
-0.012527056969702244,
-0.031758733093738556,
0.0035131804179400206,
0.0695786103606224,
-0.033668410032987595,
0.007078254129737616,
-0.012776144780218601,
0.023331252858042717,
0.006974467076361179,
0.011810928583145142,
-0.006289475131779909,
0.04309224337339401,
-0.021359305828809738,
0.0656762346625328,
-0.02862437628209591,
-0.039189863950014114,
-0.043881021440029144,
-0.00859872903674841,
-0.0093771293759346,
0.01423953752964735,
0.050108227878808975,
-0.019615689292550087,
-0.006772083230316639,
0.01762298494577408,
0.02212732844054699,
-0.0014348513213917613,
0.019397737458348274,
0.005666754674166441,
-0.05338788777589798,
0.013118640519678593,
0.022417930886149406,
0.012672358192503452,
-0.010409807786345482,
-0.008847817778587341,
0.012454405426979065,
0.025593804195523262,
-0.0035157750826328993,
-0.018992969766259193,
-0.017654120922088623,
-0.04965156316757202,
0.013004475273191929,
0.048198550939559937,
0.049443989992141724,
0.025137143209576607,
-0.014903772622346878,
0.00007593457848997787,
0.008479374460875988,
0.01597277633845806,
-0.020996052771806717,
0.007280637975782156,
-0.021037567406892776,
0.004828677047044039,
-0.08058000355958939,
0.0001907080877572298,
0.00929928943514824,
-0.023331252858042717,
0.05907539650797844,
0.003087654709815979,
-0.001465987297706306,
0.009953145869076252,
-0.019293950870633125,
-0.02108946070075035,
-0.004862407688051462,
-0.029309367761015892,
-0.02080923691391945,
-0.0008808897691778839,
-0.004740457981824875,
-0.04267709702253342,
0.00550588546320796,
0.03312871977686882,
0.015401948243379593,
0.014135750941932201,
0.025531532242894173,
-0.0037259431555867195,
-0.001759184873662889,
-0.06193991005420685,
-0.0239124596118927,
-0.03501763939857483,
0.01942887343466282,
0.026091979816555977,
-0.021463092416524887,
-0.006984845735132694,
0.013658331707119942,
-0.003108412027359009,
0.01932508684694767,
0.013637574389576912,
-0.052142444998025894,
0.03705185651779175,
0.026424096897244453,
0.02078847959637642,
-0.01611807756125927,
0.043922536075115204,
-0.003977625630795956,
-0.005713458638638258,
0.03580641746520996,
-0.01802775263786316,
-0.005583725403994322,
-0.004945436958223581,
-0.014052721671760082,
-0.007773624733090401,
-0.042926184833049774,
0.015443462878465652,
0.022438688203692436,
0.020975295454263687,
0.009792276658117771,
0.06654804199934006,
-0.020695071667432785,
-0.01605580560863018,
0.019947806373238564,
0.021182868629693985,
0.02854134701192379,
-0.012672358192503452,
0.010072500444948673,
-0.012132667005062103,
-0.02756575122475624,
-0.05226698890328407,
0.018017373979091644,
0.04149392992258072,
-0.03435340151190758,
0.024203062057495117,
-0.014665062539279461,
-0.0174984410405159,
-0.006164930760860443
] |
Graph Neural Networks (GNNs) have achieved promising performance in a variety
of graph-focused tasks. Despite their success, existing GNNs suffer from two
significant limitations: a lack of interpretability in results due to their
black-box nature, and an inability to learn representations of varying orders.
To tackle these issues, we propose a novel Model-agnostic Graph Neural Network
(MaGNet) framework, which is able to sequentially integrate information of
various orders, extract knowledge from high-order neighbors, and provide
meaningful and interpretable results by identifying influential compact graph
structures. In particular, MaGNet consists of two components: an estimation
model for the latent representation of complex relationships under graph
topology, and an interpretation model that identifies influential nodes, edges,
and important node features. Theoretically, we establish the generalization
error bound for MaGNet via empirical Rademacher complexity, and showcase its
power to represent layer-wise neighborhood mixing. We conduct comprehensive
numerical studies using simulated data to demonstrate the superior performance
of MaGNet in comparison to several state-of-the-art alternatives. Furthermore,
we apply MaGNet to a real-world case study aimed at extracting task-critical
information from brain activity data, thereby highlighting its effectiveness in
advancing scientific research. | [
-0.015128574334084988,
-0.04314321279525757,
-0.03671691566705704,
-0.006961822044104338,
0.03504340350627899,
0.030290620401501656,
-0.0020448260474950075,
0.029453862458467484,
-0.0025667534209787846,
0.008861261419951916,
-0.014124466106295586,
0.008438698947429657,
0.02324512228369713,
-0.002987224142998457,
-0.03231557086110115,
0.018676426261663437,
0.005832199472934008,
-0.019345832988619804,
-0.03008979745209217,
-0.04053252935409546,
-0.00458961445838213,
-0.025621512904763222,
-0.029604477807879448,
-0.012701977975666523,
0.03865819424390793,
0.018124166876077652,
0.010183338075876236,
0.030541647225618362,
-0.07028762251138687,
0.05633051320910454,
-0.008133281953632832,
-0.004736047238111496,
0.00978169497102499,
0.028332607820630074,
-0.049067456275224686,
0.00391811691224575,
0.06489890813827515,
0.05863996222615242,
0.009329845197498798,
0.011321328580379486,
0.01686903089284897,
0.017755992710590363,
0.03909330815076828,
0.004899214953184128,
0.016433916985988617,
-0.020500557497143745,
-0.04612207040190697,
-0.08220305293798447,
-0.013664249330759048,
-0.0027926780749112368,
0.018559280782938004,
0.026207244023680687,
0.02029973641037941,
0.024516994133591652,
0.018174372613430023,
0.03829002007842064,
0.07798579335212708,
0.002024953020736575,
0.08401044458150864,
0.03147881478071213,
-0.014467536471784115,
0.04464937746524811,
-0.08555008471012115,
-0.009455359540879726,
0.06115023419260979,
-0.0495695099234581,
0.0013586848508566618,
-0.022006720304489136,
0.05783667415380478,
0.008267163299024105,
-0.03296824172139168,
0.005510048009455204,
-0.025019047781825066,
-0.06536749005317688,
0.009647813625633717,
0.013204032555222511,
0.049000516533851624,
0.008438698947429657,
0.015521850436925888,
-0.03189719468355179,
0.020969141274690628,
0.030575117096304893,
-0.010216808877885342,
0.013329545967280865,
0.03298497945070267,
-0.01629166677594185,
0.014601417817175388,
-0.05713379755616188,
-0.010877846740186214,
0.026876648887991905,
-0.01842539943754673,
0.06486544013023376,
-0.06948433816432953,
0.030708998441696167,
0.03752020373940468,
-0.016944337636232376,
0.025102723389863968,
-0.0004664922889787704,
-0.007392751984298229,
0.042038694024086,
-0.018157636746764183,
-0.02026626467704773,
0.02068464457988739,
0.04786252602934837,
0.02063443884253502,
-0.03405602648854256,
0.010677024722099304,
-0.004614717327058315,
0.01070212759077549,
0.1110544502735138,
0.029219569638371468,
-0.0013388119405135512,
-0.025337016209959984,
0.02324512228369713,
-0.008852893486618996,
0.013103622011840343,
-0.10034395009279251,
0.0029558457899838686,
0.0053217774257063866,
-0.022274482995271683,
-0.009639445692300797,
0.038557782769203186,
-0.01204094011336565,
-0.028081579133868217,
-0.06586954742670059,
0.07738333195447922,
-0.017220469191670418,
-0.03490952029824257,
-0.019864622503519058,
0.016383711248636246,
0.0007196114165708423,
0.07698168605566025,
0.044883668422698975,
-0.0674426481127739,
0.023512884974479675,
-0.0244333166629076,
0.025721924379467964,
0.034022558480501175,
-0.018291518092155457,
-0.0609494112432003,
0.004154500551521778,
-0.014743666164577007,
-0.022726332768797874,
-0.04294239357113838,
0.029822034761309624,
-0.02742890827357769,
0.009078818373382092,
0.07376853376626968,
-0.011731339618563652,
0.041971754282712936,
-0.023462679237127304,
0.0369512103497982,
-0.03420664370059967,
-0.0072756060399115086,
0.008785952813923359,
0.0015239445492625237,
-0.02409861423075199,
-0.01012476533651352,
-0.0023763910867273808,
-0.04160358011722565,
0.08046259731054306,
0.0017917068907991052,
0.004505938850343227,
0.07604451477527618,
0.004819722846150398,
0.055092111229896545,
0.024567198008298874,
0.002535375067964196,
-0.0767139196395874,
0.04327709600329399,
0.028684046119451523,
0.015086736530065536,
-0.022006720304489136,
-0.016894133761525154,
-0.010049456730484962,
0.023429209366440773,
0.04277504235506058,
0.023479413241147995,
-0.022860214114189148,
0.028750985860824585,
-0.0320478118956089,
-0.05495822802186012,
0.046055130660533905,
0.04843151941895485,
0.024901902303099632,
0.05104220286011696,
0.09552422910928726,
0.01560552604496479,
0.060748592019081116,
0.016651473939418793,
0.007526633329689503,
0.008438698947429657,
0.046824946999549866,
-0.04769517481327057,
0.051343437284231186,
-0.041503168642520905,
-0.030759204179048538,
-0.042975861579179764,
-0.0159402284771204,
-0.03131146356463432,
-0.0008660439634695649,
-0.050573620945215225,
0.0005632423562929034,
0.013429957441985607,
0.05519252270460129,
-0.02292715385556221,
0.007091519422829151,
-0.03005632758140564,
-0.014609784819185734,
-0.020216060802340508,
-0.0005768396658822894,
-0.03221516311168671,
-0.08608560264110565,
-0.06600342690944672,
-0.008388493210077286,
-0.0041963388212025166,
0.0008278668974526227,
0.008509823121130466,
-0.01725393906235695,
0.0008995142416097224,
0.03167963773012161,
0.04966992139816284,
0.053585946559906006,
0.002573029138147831,
0.014425698667764664,
-0.02665909193456173,
0.00019075455202255398,
-0.017488230019807816,
-0.0436117984354496,
-0.00937168300151825,
-0.004610533360391855,
0.02632438950240612,
0.01428344938904047,
0.004359506070613861,
-0.004372057504951954,
-0.01805722527205944,
0.021939780563116074,
-0.007171011529862881,
-0.017488230019807816,
0.0010930143762379885,
-0.015321028418838978,
0.007003659848123789,
0.00976495910435915,
-0.004100111313164234,
0.06439685076475143,
0.006522524170577526,
-0.03393888100981712,
0.06894881278276443,
0.03122778795659542,
0.030742468312382698,
-0.03601403906941414,
-0.005535150412470102,
-0.0016473662108182907,
0.004112662747502327,
-0.06543443351984024,
-0.003648262470960617,
0.03234904259443283,
0.012794021517038345,
0.03189719468355179,
-0.05669868364930153,
0.05930936709046364,
0.04016435891389847,
-0.02783055230975151,
0.04836457967758179,
0.001979977358132601,
-0.027947699651122093,
0.020115649327635765,
0.013329545967280865,
0.003470451571047306,
0.03885901719331741,
0.0073258113116025925,
-0.06332580000162125,
-0.002079342259094119,
-0.008944937027990818,
-0.056531332433223724,
-0.06335927546024323,
0.04270809888839722,
-0.03159596025943756,
-0.01711169071495533,
-0.03989659622311592,
0.016433916985988617,
-0.046055130660533905,
-0.02473454922437668,
0.0007525587570853531,
0.0011662306496873498,
-0.03839043155312538,
-0.0042151655070483685,
-0.056966446340084076,
-0.0623551644384861,
-0.016910867765545845,
-0.006547627039253712,
0.041837871074676514,
-0.029888976365327835,
0.011664398945868015,
0.021722223609685898,
0.008802688680589199,
0.01149704772979021,
-0.043109744787216187,
0.07417017966508865,
-0.04103458672761917,
-0.027378704398870468,
-0.026391329243779182,
0.018341723829507828,
-0.0140993632376194,
-0.021889574825763702,
0.03541157394647598,
0.010526408441364765,
0.09244496375322342,
-0.0020845721010118723,
-0.01390690915286541,
0.0169025007635355,
0.0017435933696106076,
0.01428344938904047,
0.00977332703769207,
-0.04987074434757233,
0.008116547018289566,
0.006463951431214809,
-0.032549865543842316,
0.033972352743148804,
-0.04029823839664459,
0.005932610481977463,
-0.031378403306007385,
-0.034708697348833084,
0.015195515006780624,
-0.013061784207820892,
0.027964433655142784,
0.01032558735460043,
0.026776237413287163,
-0.06242210417985916,
0.006447216030210257,
-0.01685229502618313,
0.006886513903737068,
-0.03236577659845352,
-0.02669256180524826,
-0.01809069514274597,
-0.038457371294498444,
-0.0032152405474334955,
0.028834661468863487,
-0.02776361256837845,
-0.0009596562013030052,
-0.030173473060131073,
-0.018893983215093613,
-0.029520802199840546,
0.015337764285504818,
-0.012668508104979992,
-0.04776211455464363,
-0.09652833640575409,
0.008610234595835209,
0.06489890813827515,
0.0013304443564265966,
0.0006803884170949459,
-0.0053719826973974705,
-0.007187746465206146,
-0.007719087414443493,
0.0367838591337204,
-0.01949644833803177,
-0.0018063501920551062,
0.010861111804842949,
-0.01959685981273651,
0.013655881397426128,
0.0032591703347861767,
-0.03721897304058075,
-0.027897493913769722,
0.009262904524803162,
-0.1122593805193901,
-0.0444820262491703,
-0.04471631720662117,
-0.009907208383083344,
-0.037319380789995193,
0.04612207040190697,
-0.012635037302970886,
0.050205446779727936,
-0.036214862018823624,
-0.015262455679476261,
0.000990511616691947,
-0.0008681358303874731,
0.005133506841957569,
0.006154350936412811,
-0.004577063024044037,
0.04575389623641968,
0.007430406287312508,
0.015337764285504818,
0.038524311035871506,
-0.0006390734924934804,
-0.05331818386912346,
0.02520313486456871,
0.03112737648189068,
-0.021337315440177917,
0.032549865543842316,
0.01679372228682041,
-0.012685243040323257,
-0.048297639936208725,
-0.011739706620573997,
-0.03238251432776451,
0.038892485201358795,
0.02145446091890335,
-0.020182589069008827,
-0.01709495484828949,
0.06908269226551056,
-0.008760850876569748,
-0.04592124745249748,
-0.06178617104887962,
0.006945086643099785,
-0.004932685289531946,
-0.017822934314608574,
0.011547252535820007,
0.007627044338732958,
-0.017755992710590363,
0.03909330815076828,
-0.04963645339012146,
0.04351138696074486,
-0.018944188952445984,
-0.036281801760196686,
-0.056163158267736435,
0.029537538066506386,
0.014258346520364285,
-0.0863533690571785,
0.01542143989354372,
0.019044600427150726,
-0.05067403241991997,
-0.007405303418636322,
0.000867089896928519,
0.049100928008556366,
0.00365662993863225,
-0.08541619777679443,
0.03758714348077774,
-0.008204407058656216,
-0.012852594256401062,
-0.05572804436087608,
-0.012953005731105804,
0.058104436844587326,
-0.07999401539564133,
0.04813028872013092,
-0.017086587846279144,
-0.026508476585149765,
-0.007660514209419489,
-0.006986924912780523,
-0.004610533360391855,
-0.052447956055402756,
0.007547552231699228,
0.019764211028814316,
-0.020082179456949234,
-0.021169964224100113,
0.02448352240025997,
-0.06315845251083374,
0.0007400073809549212,
-0.04033171012997627,
-0.03146208077669144,
-0.032918039709329605,
-0.061518408358097076,
-0.06948433816432953,
-0.009045347571372986,
-0.05987836420536041,
-0.03879207372665405,
0.030575117096304893,
0.011614193208515644,
-0.0028826294001191854,
-0.028433017432689667,
0.06700753420591354,
-0.03373806178569794,
0.01884377747774124,
0.024567198008298874,
-0.021872838959097862,
-0.058439139276742935,
0.0014120282139629126,
0.023061035200953484,
-0.013957113958895206,
0.01635860837996006,
0.013137091882526875,
0.01959685981273651,
0.09766633063554764,
-0.02895180694758892,
0.01148031186312437,
0.022441834211349487,
0.0472935326397419,
0.024148819968104362,
-0.03392214700579643,
-0.07008680701255798,
0.06443032622337341,
0.0327506847679615,
0.004836458247154951,
0.027981169521808624,
-0.009170861914753914,
0.02970488928258419,
-0.03300171345472336,
0.017488230019807816,
0.0218058992177248,
-0.00010054163431050256,
-0.006062307860702276,
-0.05773626267910004,
-0.012333804741501808,
0.016785355284810066,
-0.006363540422171354,
-0.02254224568605423,
0.026408065110445023,
-0.04049906134605408,
0.006610383745282888,
-0.010032721795141697,
0.06345968693494797,
0.06001224368810654,
0.06084899976849556,
0.013237502425909042,
0.019345832988619804,
0.024249231442809105,
0.022826742380857468,
0.05663174390792847,
-0.0073258113116025925,
0.01583145000040531,
-0.006518340669572353,
0.00883615855127573,
-0.001307433471083641,
-0.020801790058612823,
-0.023077771067619324,
-0.028399547562003136,
0.05251489579677582,
-0.012869329191744328,
0.006091594230383635,
-0.05040626972913742,
0.01031721942126751,
0.013915276154875755,
0.02786402218043804,
-0.025052517652511597,
-0.008083077147603035,
0.03278415650129318,
-0.054723937064409256,
0.04056600108742714,
-0.026876648887991905,
-0.020015237852931023,
-0.0069199842400848866,
0.003234067466109991,
-0.010802539065480232,
-0.004271646961569786,
-0.03119431808590889,
-0.018107431009411812,
-0.016643105074763298,
-0.001872244756668806,
-0.015044898726046085,
-0.04930174723267555,
-0.01991482637822628,
-0.0077985795214772224,
-0.016944337636232376,
0.025353750213980675,
-0.0018555095884948969,
0.04612207040190697,
0.020015237852931023,
0.00731744384393096,
-0.0004999625962227583,
-0.023529618978500366,
-0.02475128509104252,
-0.012844227254390717,
-0.006953454576432705,
-0.0055769882164895535,
0.0023471047170460224,
-0.025855805724859238,
-0.029905710369348526,
0.008877996355295181,
0.01696944050490856,
-0.050874851644039154,
-0.0057276044972240925,
-0.03372132405638695,
0.05378676950931549,
0.05897466465830803,
-0.006610383745282888,
-0.019780946895480156,
-0.013053416274487972,
-0.013120356947183609,
0.021889574825763702,
0.03865819424390793,
-0.007522449363023043,
0.0232953280210495,
-0.0008901007240638137,
0.002614866942167282,
-0.007719087414443493,
0.040699880570173264,
0.058807313442230225,
0.012584831565618515,
0.017789462581276894,
0.0012331713223829865,
0.03121105208992958,
0.03241598233580589,
0.01837519370019436,
0.010869478806853294,
0.02751258574426174,
0.020065443590283394,
-0.011338063515722752,
-0.02557130716741085,
-0.03336988762021065,
-0.030725734308362007,
0.0008519236580468714,
-0.03946148231625557,
-0.010241910815238953,
0.04247380793094635,
0.01917847990989685,
-0.009923943318426609,
-0.0010694806696847081,
-0.008321552537381649,
0.0016201715916395187,
-0.022425100207328796,
0.06419602781534195,
-0.024667609483003616,
0.022324688732624054,
-0.002202763920649886,
0.04655718430876732,
-0.002562569687142968,
-0.02254224568605423,
-0.033805001527071,
0.05790361389517784,
0.039628833532333374,
-0.008413596078753471,
-0.013053416274487972,
-0.0012635038001462817,
0.015237352810800076,
0.03490952029824257,
-0.03574627637863159,
0.014626519754529,
0.0037779598496854305,
-0.0006375045632012188,
-0.03268374502658844,
-0.03430705517530441,
-0.06553484499454498,
0.055761516094207764,
-0.005208814982324839,
0.055895399302244186,
0.036281801760196686,
-0.02630765363574028,
0.010819274000823498,
-0.018492339178919792,
-0.020969141274690628,
0.011388269253075123,
0.022709596902132034,
-0.03355397284030914,
0.012015837244689465,
-0.03909330815076828,
0.0004385132051538676,
0.016944337636232376,
-0.0458877794444561,
-0.049402158707380295,
0.021186698228120804,
-0.00997414905577898,
0.05442270264029503,
-0.06948433816432953,
-0.0037946950178593397,
-0.03899289667606354,
0.025772130116820335,
0.0005747477989643812,
0.014116098172962666,
0.0203164704144001,
0.0003982442431151867,
0.03567933663725853,
0.012333804741501808,
0.018626220524311066,
0.05288306996226311,
0.003123197238892317,
0.01723720319569111,
-0.012936269864439964,
-0.021655282005667686,
0.001005154917947948,
-0.009815164841711521,
0.028499959036707878,
-0.00035457598278298974,
0.010836008936166763,
-0.008024503476917744,
0.025370486080646515,
0.00404990604147315,
0.01600717008113861,
-0.030156739056110382,
-0.03875860571861267,
0.003497646190226078,
0.010384160093963146,
0.07263054698705673,
0.00942188873887062,
-0.0004489726561587304,
-0.0353781059384346,
0.00937168300151825,
-0.0037361220456659794,
-0.026759503409266472,
0.016450650990009308,
0.0316963717341423,
-0.03372132405638695,
-0.04813028872013092,
0.00922943465411663,
0.005819648038595915,
-0.04856540262699127,
0.018124166876077652,
-0.010225175879895687,
0.01563899591565132,
0.000990511616691947,
-0.010777436196804047,
-0.011756442487239838,
0.00883615855127573,
0.005325960926711559,
-0.016994543373584747,
-0.009212699718773365,
0.03718550130724907,
0.00015127005463000387,
-0.011990734376013279,
-0.0066145677119493484,
0.021136492490768433,
0.02404840849339962,
-0.005627193953841925,
-0.017454760149121284,
0.01609921269118786,
-0.014668358489871025,
0.02707747183740139,
-0.02475128509104252,
0.029453862458467484,
0.015329396352171898,
0.012057675048708916,
-0.03685079887509346,
-0.01947971247136593,
0.017404554411768913,
0.040030475705862045,
0.004148224834352732,
0.049000516533851624,
0.01602390594780445,
0.005589539650827646,
0.005748523864895105,
-0.010108030401170254,
-0.015337764285504818,
0.024985577911138535,
-0.009463726542890072,
-0.0013252146309241652,
0.02364676631987095,
-0.028265666216611862,
0.009589239954948425,
0.0036670896224677563,
0.010216808877885342,
0.03224863111972809,
0.038490843027830124,
0.0014841984957456589,
0.035177282989025116,
-0.03611445054411888,
0.005547701846808195,
0.00778602808713913,
0.012668508104979992,
-0.04136928915977478,
0.0002698542666621506,
0.01767231710255146,
-0.018726631999015808,
-0.03691773861646652,
0.01881030760705471,
0.023010829463601112,
-0.006062307860702276,
-0.03490952029824257,
0.007903174497187138,
0.035913631319999695,
-0.03772102668881416,
0.01958012394607067,
-0.0360809825360775,
0.0004016435705125332,
0.010208440944552422,
-0.014249979518353939,
-0.002384758787229657,
-0.05388718098402023,
-0.037787966430187225,
-0.027546055614948273,
0.02781381830573082,
-0.04397997260093689,
0.01954665407538414,
-0.007949195802211761,
-0.0167267806828022,
0.013948746956884861,
0.005116771906614304,
0.03370459005236626,
0.01163929607719183,
0.006635486613959074,
-0.04655718430876732,
-0.07202807813882828,
-0.020199324935674667,
-0.01443406566977501,
-0.007844600826501846,
0.0376540869474411,
0.0353781059384346,
-0.0022885315120220184,
-0.025470897555351257,
0.018559280782938004,
0.004384608939290047,
0.0008414642070420086,
-0.014166303910315037,
-0.013789762742817402,
-0.0014486362924799323,
0.021287109702825546,
-0.0023324612993746996,
0.06422950327396393,
-0.01837519370019436,
-0.0013440416660159826,
-0.012559729628264904,
-0.05455658584833145,
-0.049837272614240646,
-0.00584056694060564,
0.001913036685436964,
-0.05934283882379532,
0.0383569598197937,
0.03614792227745056,
0.041201937943696976,
-0.011948896571993828,
0.018274782225489616,
0.006936719175428152,
-0.0043051172979176044,
0.011948896571993828,
0.029955916106700897,
-0.06684018671512604,
0.009446991607546806,
-0.00391393294557929,
-0.009212699718773365,
-0.038925956934690475,
-0.06453073769807816,
0.026826443150639534,
-0.014542844146490097,
0.004447365645319223,
0.020785054191946983,
0.03271721675992012,
-0.0018230852438136935,
0.02066790871322155,
-0.012208291329443455,
-0.0003161374188493937,
-0.016224727034568787,
-0.024282701313495636,
0.005158609710633755,
-0.026458270847797394,
-0.0161996241658926,
-0.057702794671058655,
0.006300783716142178,
-0.040766824036836624,
-0.042607687413692474,
-0.027679936960339546,
0.017772728577256203,
-0.009112288244068623,
0.04628942161798477,
-0.002353380434215069,
0.025738658383488655,
0.040733352303504944,
-0.05967754125595093,
-0.0000723664416000247,
-0.06279028207063675,
-0.0009852818911895156,
0.016701677814126015,
0.02935345098376274,
0.016450650990009308,
0.016090845689177513,
-0.027127675712108612,
0.03541157394647598,
0.051343437284231186,
-0.02291041798889637,
-0.02369697019457817,
-0.0036817328073084354,
0.024901902303099632,
0.003139932407066226,
0.01919521577656269,
0.0019527827389538288,
-0.023780645802617073,
0.01635860837996006,
0.006476502865552902,
0.032851096242666245,
0.001814717659726739,
-0.019061334431171417,
0.05743503198027611,
-0.019747475162148476,
0.029202835634350777,
0.007551735732704401,
0.031763311475515366,
-0.01522898580878973,
-0.01562226191163063,
-0.020031973719596863,
0.00544729083776474,
0.019864622503519058,
0.0006939857266843319,
-0.027211351320147514,
-0.039662301540374756,
-0.027546055614948273,
0.0009920805459842086,
0.014459168538451195,
-0.018893983215093613,
0.05793708562850952,
0.006685691885650158,
0.007058049086481333,
-0.00182936096098274,
-0.000012526847058325075,
0.014894282445311546,
-0.032533127814531326,
0.015321028418838978,
-0.022625921294093132,
0.036348745226860046,
-0.014166303910315037,
0.028299136087298393,
-0.00037052665720693767,
0.0031294729560613632,
-0.050573620945215225,
-0.03116084821522236,
-0.0144926393404603,
-0.0251361932605505,
-0.015011428855359554,
-0.039294131100177765,
-0.050171975046396255,
0.019278891384601593,
-0.0074764275923371315,
-0.01772252283990383,
0.01799028553068638,
0.014651622623205185,
0.02138752117753029,
0.020132383331656456,
-0.01765558123588562,
-0.00525065278634429,
-0.014107730239629745,
0.0015113931149244308,
-0.0019193124026060104,
-0.009530667215585709,
-0.006317518651485443,
-0.00352484080940485,
-0.02327859215438366,
-0.031428609043359756,
-0.029554273933172226,
0.006719162221997976,
-0.044582437723875046,
-0.012467686086893082,
-0.002794769825413823,
-0.02291041798889637,
-0.03531116247177124,
0.056932978332042694,
0.041168466210365295,
0.02411535009741783,
0.05790361389517784,
-0.015362867154181004,
-0.0026316021103411913,
-0.0022634288761764765,
0.012099512852728367,
-0.03418990969657898,
0.012559729628264904,
0.027311762794852257,
0.007719087414443493,
-0.0281987264752388,
0.023429209366440773,
0.014467536471784115,
0.032549865543842316,
0.038925956934690475,
0.014216508716344833,
-0.006079042796045542,
0.017906609922647476,
0.004296749364584684,
0.027730142697691917,
-0.02702726610004902,
-0.019078070297837257,
0.037352852523326874,
0.07149255275726318,
0.017421290278434753,
-0.00903698056936264,
0.022759802639484406,
0.011145609430968761,
-0.014752034097909927,
0.017789462581276894,
-0.03654956445097923,
-0.008279714733362198,
0.017471496015787125,
0.03785490617156029,
-0.04280851036310196,
0.002355472184717655,
-0.0011243928456678987,
-0.0006364586297422647,
-0.010836008936166763,
0.010928052477538586,
0.01999850384891033,
0.004895030986517668,
-0.04213910549879074,
-0.011153976432979107,
-0.013145459815859795,
0.0056397453881800175,
-0.002562569687142968,
-0.06041388586163521,
-0.0315290205180645,
-0.006815389264374971,
-0.00039170708623714745,
-0.014266714453697205,
0.055761516094207764,
0.04585430771112442,
0.007576838601380587,
0.013588940724730492,
0.0024537912104278803,
0.013731190003454685,
-0.014626519754529,
0.022040192037820816,
0.0184756051748991,
0.02299409545958042,
0.05746849998831749,
0.022023456171154976,
0.019864622503519058,
-0.003208964830264449,
0.0161996241658926,
-0.024199025705456734,
-0.04582083597779274,
0.018559280782938004,
-0.013028313405811787,
-0.0005925288423895836,
0.0013691444182768464,
-0.04632289335131645,
-0.03131146356463432,
0.025705188512802124,
-0.019847886636853218,
0.003167127026244998,
0.0011589090572670102,
0.01709495484828949,
-0.008693910203874111,
-0.04849846288561821,
0.003183862194418907,
0.02595621533691883,
0.015505115501582623,
-0.005003809463232756,
0.06412909179925919,
0.023044299334287643,
-0.03547851741313934,
-0.01257646456360817,
0.025738658383488655,
-0.019730741158127785,
-0.008116547018289566,
0.03875860571861267,
-0.04786252602934837,
0.0054305559024214745,
-0.03256659954786301,
0.00957250501960516,
-0.018258048221468925,
-0.02175569348037243,
0.043076273053884506,
-0.03768755495548248,
-0.004740230739116669,
-0.059242427349090576
] |
The automatic discovery of a model to represent the history of encounters of
a group of patients with the healthcare system -- the so-called "pathway of
patients" -- is a new field of research that supports clinical and
organisational decisions to improve the quality and efficiency of the treatment
provided. The pathways of patients with chronic conditions tend to vary
significantly from one person to another, have repetitive tasks, and demand the
analysis of multiple perspectives (interventions, diagnoses, medical
specialities, among others) influencing the results. Therefore, modelling and
mining those pathways is still a challenging task. In this work, we propose a
framework comprising: (i) a pathway model based on a multi-aspect graph, (ii) a
novel dissimilarity measurement to compare pathways taking the elapsed time
into account, and (iii) a mining method based on traditional centrality
measures to discover the most relevant steps of the pathways. We evaluated the
framework using the study cases of pregnancy and diabetes, which revealed its
usefulness in finding clusters of similar pathways, representing them in an
easy-to-interpret way, and highlighting the most significant patterns according
to multiple perspectives. | [
-0.02482404001057148,
0.006741011049598455,
-0.025642823427915573,
-0.038073454052209854,
-0.010746539570391178,
0.014859067276120186,
0.014096110127866268,
-0.01769689843058586,
-0.022870123386383057,
-0.023949429392814636,
0.017315419390797615,
-0.028731873258948326,
-0.04540529102087021,
-0.036212582141160965,
-0.018943682312965393,
0.04026928171515465,
0.0044381809420883656,
-0.037831541150808334,
0.06617262959480286,
-0.0445120707154274,
-0.052253302186727524,
-0.011686279438436031,
-0.03466805815696716,
-0.00705735944211483,
0.05567730963230133,
0.0036426580045372248,
0.058468617498874664,
-0.02290734089910984,
-0.0947556346654892,
0.04801051318645477,
-0.005261617247015238,
0.03773849457502365,
-0.0011508334428071976,
-0.033049095422029495,
-0.07771003991365433,
-0.0361381471157074,
0.03433309867978096,
0.02912265621125698,
0.016580374911427498,
0.0393388457596302,
0.047154512256383896,
0.04570303112268448,
-0.02541952021420002,
-0.010234799236059189,
0.024247169494628906,
-0.045554161071777344,
-0.025586998090147972,
0.012746977619826794,
-0.045554161071777344,
-0.0048475731164216995,
0.05351869389414787,
-0.0615948811173439,
0.024600734934210777,
-0.022628210484981537,
-0.0097230589017272,
0.01372393500059843,
0.06107383966445923,
0.013286630623042583,
0.08172952383756638,
0.05348147824406624,
-0.023074820637702942,
0.0067317066714167595,
-0.01703628897666931,
0.03703136369585991,
0.06628428399562836,
-0.04365606978535652,
-0.05616113543510437,
0.07115976512432098,
-0.029178481549024582,
-0.024563517421483994,
-0.04108806699514389,
-0.022218817844986916,
-0.003356548957526684,
0.015863938257098198,
0.0038892237935215235,
-0.005154617130756378,
0.07428603619337082,
0.05065295100212097,
-0.0224235150963068,
-0.05396530404686928,
0.06274862587451935,
0.0052569652907550335,
-0.03139292076230049,
0.0036356798373162746,
0.043693289160728455,
-0.052662692964076996,
0.06245088577270508,
-0.06896393746137619,
0.026108043268322945,
-0.018320290371775627,
-0.06021783873438835,
-0.03265831246972084,
-0.0009292732574976981,
-0.0067735761404037476,
-0.02331673353910446,
-0.00439863745123148,
0.002921569859609008,
0.013044716790318489,
-0.019836902618408203,
0.013388978317379951,
-0.036212582141160965,
-0.03092770278453827,
-0.010337146930396557,
-0.00529418233782053,
0.08865197002887726,
-0.04722894728183746,
-0.030127527192234993,
0.034184228628873825,
-0.014096110127866268,
0.13405726850032806,
-0.02201412245631218,
0.013472717255353928,
0.004280006978660822,
-0.005070877727121115,
0.016478026285767555,
-0.03176509588956833,
-0.02363308146595955,
-0.053146522492170334,
0.02117672935128212,
-0.053444258868694305,
0.026126651093363762,
0.07175524532794952,
-0.026889609172940254,
0.04708007723093033,
-0.0500202551484108,
0.046261291950941086,
-0.01110010500997305,
-0.00825762189924717,
-0.03223031386733055,
0.024656562134623528,
0.014766024425625801,
-0.03325379267334938,
-0.02063707634806633,
0.018748290836811066,
0.07644464820623398,
0.00008846414129948243,
0.038482844829559326,
-0.01704559288918972,
-0.01985551044344902,
-0.005847792141139507,
0.004112528637051582,
-0.07506760209798813,
-0.051955562084913254,
-0.0445120707154274,
0.028806308284401894,
-0.008290187455713749,
-0.013026108033955097,
0.01801324635744095,
-0.039748240262269974,
0.005982705391943455,
-0.026517434045672417,
0.015566199086606503,
0.016831591725349426,
0.014310110360383987,
-0.012970281764864922,
-0.012542281299829483,
0.008113404735922813,
-0.011714193038642406,
-0.027057087048888206,
-0.04492146521806717,
0.06900115311145782,
-0.028024740517139435,
0.04216737300157547,
0.01765037700533867,
0.022274645045399666,
-0.05143451690673828,
-0.07882656157016754,
-0.030536919832229614,
-0.0018178399186581373,
0.03390510007739067,
-0.049796950072050095,
-0.015715068206191063,
0.01914837956428528,
0.0375710166990757,
-0.02834109030663967,
0.00831810012459755,
0.05761261656880379,
0.027894480153918266,
-0.02033933810889721,
0.02447047457098961,
-0.03384927287697792,
-0.01902742311358452,
-0.012914455495774746,
-0.014058892615139484,
0.07555142790079117,
0.0336073599755764,
0.08150622248649597,
-0.015370807610452175,
-0.012449237518012524,
-0.008243665099143982,
0.030909093096852303,
0.008671666495501995,
0.04499590024352074,
0.019297249615192413,
-0.032621096819639206,
-0.0002561607398092747,
0.026759346947073936,
-0.008546057157218456,
-0.024116909131407738,
-0.04425154998898506,
-0.05943626910448074,
-0.1064419150352478,
-0.015510372817516327,
0.03276996687054634,
0.024489082396030426,
-0.010169669054448605,
0.03554266691207886,
-0.006178096868097782,
0.01058836467564106,
-0.029048221185803413,
-0.047638338059186935,
0.01372393500059843,
-0.024377431720495224,
0.008746101520955563,
-0.015863938257098198,
-0.00518718222156167,
-0.009620711207389832,
0.0034147012047469616,
0.06200427561998367,
-0.03159761801362038,
0.059845663607120514,
0.006801489274948835,
0.023763343691825867,
0.029736744239926338,
0.017315419390797615,
0.04079032689332962,
0.019278639927506447,
0.013454108498990536,
0.013630892150104046,
0.025680040940642357,
0.026889609172940254,
0.021306991577148438,
0.012914455495774746,
-0.007410924881696701,
-0.09162936359643936,
-0.0009007786284200847,
-0.023372558876872063,
-0.013630892150104046,
0.014431066811084747,
-0.01435663178563118,
0.029327351599931717,
0.01626402698457241,
-0.03881780058145523,
-0.024730997160077095,
0.022442122921347618,
0.004973181989043951,
0.002089992631226778,
0.06583767384290695,
0.05690548196434975,
0.034816924482584,
0.014998633414506912,
0.0008815883775241673,
0.04912703484296799,
0.03128126636147499,
-0.07674238830804825,
0.012458542361855507,
-0.023074820637702942,
-0.005843139719218016,
0.028620220720767975,
0.017780637368559837,
0.02409829944372177,
-0.011146626435220242,
-0.0055593568831682205,
0.07276012003421783,
-0.0042265066877007484,
-0.05269991233944893,
0.058878008276224136,
0.019297249615192413,
0.004791746847331524,
-0.00849488377571106,
-0.016468722373247147,
-0.01554759033024311,
0.014003066346049309,
-0.06219036132097244,
0.04257676377892494,
-0.06207871064543724,
0.005638443864881992,
-0.0196694228798151,
0.024898475036025047,
0.05150895193219185,
-0.031076572835445404,
-0.037943191826343536,
-0.01907394453883171,
0.022535167634487152,
-0.08805648982524872,
0.01615237444639206,
0.0032286138739436865,
-0.03941328078508377,
-0.021641947329044342,
-0.0062292711809277534,
-0.011221061460673809,
-0.03466805815696716,
-0.02439603954553604,
-0.00025848683435469866,
0.032863009721040726,
0.003993897698819637,
-0.03755240887403488,
0.017752723768353462,
0.011574627831578255,
-0.021846644580364227,
-0.04838268831372261,
0.0045358771458268166,
0.034053970128297806,
0.02361447364091873,
0.04897816479206085,
-0.00659214099869132,
0.005922227166593075,
0.044884245842695236,
-0.03576597198843956,
-0.051769476383924484,
0.02112090401351452,
0.007257402874529362,
0.006629358511418104,
-0.053853653371334076,
0.012328281067311764,
0.010997757315635681,
0.02709430456161499,
-0.03135570138692856,
-0.023298125714063644,
-0.047452252358198166,
-0.010941931046545506,
-0.03528214246034622,
-0.07618412375450134,
-0.01522193755954504,
-0.029234308749437332,
-0.020376555621623993,
-0.028992395848035812,
-0.013593674637377262,
-0.012486455030739307,
0.006838706787675619,
-0.0020702206529676914,
-0.01076514832675457,
-0.014468284323811531,
0.00013527671399060637,
-0.004103224258869886,
-0.0639023631811142,
-0.059175748378038406,
0.04023206606507301,
-0.03098352812230587,
-0.009871928952634335,
-0.002661047736182809,
-0.013091238215565681,
-0.010783757083117962,
0.030034484341740608,
0.039078325033187866,
0.04157189279794693,
-0.000017164005839731544,
-0.022888733074069023,
-0.008118056692183018,
0.021493079140782356,
0.0009443928138352931,
-0.009067101404070854,
-0.0531093031167984,
0.001064768061041832,
-0.0021132533438503742,
0.02949483133852482,
0.04722894728183746,
-0.037943191826343536,
0.0022644493728876114,
-0.01097914855927229,
0.050094690173864365,
-0.06155766546726227,
-0.013435499742627144,
0.0041567240841686726,
-0.020599858835339546,
0.013268021866679192,
0.03159761801362038,
0.002840156899765134,
-0.0388922356069088,
0.02960648201406002,
-0.06051557511091232,
0.036212582141160965,
0.019092552363872528,
-0.021400034427642822,
-0.008769362233579159,
0.01885063946247101,
0.0046777683310210705,
-0.014756719581782818,
0.0013537848135456443,
0.014477589167654514,
-0.05779870226979256,
-0.01745498552918434,
-0.04108806699514389,
0.024972910061478615,
-0.06583767384290695,
0.017203766852617264,
0.03770127892494202,
0.01907394453883171,
-0.018618030473589897,
0.02865743823349476,
0.000014756137716176454,
-0.0027215261943638325,
-0.007894751615822315,
-0.10264573246240616,
0.02136281691491604,
-0.038557279855012894,
0.04789885878562927,
-0.023670298978686333,
0.03989710658788681,
0.01673854887485504,
-0.013965848833322525,
-0.045777466148138046,
-0.022479340434074402,
0.06029227003455162,
0.008792622946202755,
-0.009462537243962288,
-0.0006530499667860568,
0.01572437398135662,
0.030909093096852303,
0.029922831803560257,
-0.020730121061205864,
0.050690170377492905,
-0.01830168254673481,
-0.010104537941515446,
-0.0025610257871448994,
-0.016906026750802994,
-0.09401128441095352,
0.051471736282110214,
0.003789201844483614,
0.015324286185204983,
-0.061520446091890335,
0.02512178011238575,
0.03494718670845032,
-0.013221499510109425,
-0.048233818262815475,
0.029532048851251602,
-0.032863009721040726,
-0.03708719089627266,
0.026163868606090546,
0.03243500739336014,
0.021437251940369606,
-0.003633353626355529,
-0.026517434045672417,
-0.01165836676955223,
0.025586998090147972,
0.027410652488470078,
0.006196705624461174,
-0.024489082396030426,
-0.02690821699798107,
-0.031188225373625755,
-0.0753653421998024,
-0.051657821983098984,
0.04730338230729103,
0.05095069110393524,
-0.04030650109052658,
0.03269553184509277,
0.006257183849811554,
0.0336073599755764,
-0.06613541394472122,
-0.021641947329044342,
-0.03074161522090435,
0.050094690173864365,
-0.017268897965550423,
-0.025642823427915573,
-0.004019484855234623,
-0.010820973664522171,
-0.0024330909363925457,
-0.04618685692548752,
0.06513053923845291,
-0.0063223144970834255,
-0.005531443748623133,
-0.00957418978214264,
0.035133276134729385,
-0.01585463434457779,
-0.008471622131764889,
-0.00162942660972476,
-0.005182530265301466,
0.02314925566315651,
0.020878991112113,
0.08292048424482346,
0.054449133574962616,
0.0000227702475967817,
-0.05184391140937805,
0.01926003210246563,
-0.01985551044344902,
-0.044586505740880966,
0.004894095007330179,
0.03582179546356201,
0.028266655281186104,
-0.014942807145416737,
-0.003938071429729462,
0.04678233712911606,
0.0015712742460891604,
0.04276285320520401,
-0.08321822434663773,
0.021548904478549957,
0.01631985232234001,
0.02793169766664505,
0.017408462241292,
0.01843194290995598,
0.005261617247015238,
-0.03680805861949921,
-0.02889935113489628,
0.013658804818987846,
-0.01728750579059124,
-0.034128401428461075,
-0.04875486344099045,
0.015715068206191063,
0.021195339038968086,
-0.022590992972254753,
0.02996004931628704,
-0.02889935113489628,
0.015956982970237732,
-0.013844892382621765,
-0.015715068206191063,
0.022479340434074402,
0.03135570138692856,
-0.016952550038695335,
0.005029008258134127,
0.003028570208698511,
0.021213946864008904,
0.008657709695398808,
-0.05139730125665665,
-0.010030102916061878,
0.006359532009810209,
0.06967107206583023,
-0.012486455030739307,
0.018999509513378143,
-0.0025284606963396072,
0.037291888147592545,
0.02141864411532879,
0.006354880053550005,
-0.0319511815905571,
0.05139730125665665,
-0.046856772154569626,
0.016840897500514984,
-0.003549614455550909,
-0.009290406480431557,
0.02757813222706318,
-0.01799463853240013,
0.02601499855518341,
0.03576597198843956,
-0.008946144953370094,
-0.016840897500514984,
-0.039450500160455704,
-0.01878550834953785,
-0.026870999485254288,
0.05407695844769478,
0.0160872433334589,
-0.06673089414834976,
0.01787368208169937,
0.045070335268974304,
0.002607547678053379,
0.011565322987735271,
-0.012272454798221588,
0.025345085188746452,
0.01229106355458498,
-0.015454546548426151,
-0.02177220955491066,
-0.030164744704961777,
0.005498878657817841,
-0.02560560591518879,
0.029290134087204933,
0.002333068987354636,
0.0009676537592895329,
0.026182476431131363,
0.05772426724433899,
-0.017306115478277206,
0.023670298978686333,
-0.005424443632364273,
-0.005303486716002226,
0.015017242170870304,
0.017129331827163696,
-0.038371194154024124,
-0.01769689843058586,
0.02463795244693756,
-0.03079744055867195,
0.055900610983371735,
-0.013677413575351238,
0.008671666495501995,
0.01752011477947235,
-0.044586505740880966,
-0.054635219275951385,
-0.021102294325828552,
0.011742105707526207,
-0.0025540476199239492,
0.04052980616688728,
-0.050094690173864365,
-0.01907394453883171,
0.004968530032783747,
-0.009732363745570183,
0.030127527192234993,
0.011928193271160126,
0.009648624807596207,
-0.00989984255284071,
-0.01378906611353159,
-0.0053686173632740974,
-0.022832905873656273,
-0.03357014060020447,
0.009141536429524422,
0.009392754174768925,
0.038557279855012894,
0.024433257058262825,
0.007420229259878397,
-0.0003474598051980138,
0.012421324849128723,
-0.004393985494971275,
-0.0053686173632740974,
0.010616278275847435,
-0.03159761801362038,
0.015184720046818256,
0.024451864883303642,
-0.016645506024360657,
0.020841773599386215,
-0.0073830122128129005,
-0.016840897500514984,
0.041423022747039795,
-0.0472661629319191,
-0.03489135950803757,
-0.012002628296613693,
0.002134188311174512,
-0.04860599339008331,
0.008062230423092842,
-0.028973786160349846,
0.04611242190003395,
-0.0025307866744697094,
0.06267418712377548,
0.03150457143783569,
-0.03563570976257324,
-0.004047397989779711,
0.008983362466096878,
-0.015882547944784164,
0.07986865192651749,
-0.03025778755545616,
0.028973786160349846,
0.02190246991813183,
0.042316243052482605,
-0.00328909233212471,
0.01551967766135931,
0.007890099659562111,
-0.006513054016977549,
-0.02255377545952797,
-0.023484211415052414,
-0.043097808957099915,
0.018915770575404167,
0.018264465034008026,
-0.0379059761762619,
0.055416785180568695,
0.02698265202343464,
0.008862406015396118,
-0.021790817379951477,
0.04030650109052658,
0.0041962675750255585,
0.01543593779206276,
-0.012356193736195564,
-0.01789228990674019,
0.0039055063389241695,
-0.011342018842697144,
0.03438892588019371,
0.00813666544854641,
-0.00034775055246427655,
0.019185597077012062,
0.02793169766664505,
0.04179519787430763,
0.004922008141875267,
-0.04678233712911606,
-0.02906682901084423,
-0.03269553184509277,
-0.025866128504276276,
0.0391155406832695,
0.015510372817516327,
-0.002821548143401742,
0.04026928171515465,
0.03546823188662529,
0.03234196454286575,
0.026349956169724464,
0.04711729288101196,
-0.014049587771296501,
-0.047824423760175705,
0.04038093611598015,
-0.006210662424564362,
-0.037291888147592545,
-0.04529364034533501,
-0.014077501371502876,
0.005740792024880648,
0.016050025820732117,
-0.003868288826197386,
0.017138635739684105,
0.009974276646971703,
-0.049908604472875595,
-0.0125050637871027,
-0.07320673018693924,
-0.0644606277346611,
0.010272016748785973,
-0.00992775522172451,
-0.0003230358415748924,
-0.026163868606090546,
0.015398720279335976,
0.0018387747695669532,
0.007364403456449509,
-0.05091347545385361,
0.006606097798794508,
0.03308631479740143,
0.012672542594373226,
0.036398667842149734,
-0.017147941514849663,
0.0019934596493840218,
-0.0013235455844551325,
0.014952111057937145,
-0.03092770278453827,
-0.0005530280759558082,
0.011835149489343166,
-0.002127209911122918,
0.004128810949623585,
0.0046265944838523865,
0.005736139602959156,
-0.0008972894866019487,
-0.027019869536161423,
0.009332275949418545,
-0.017799247056245804,
0.02153029665350914,
-0.019650815054774284,
-0.035505447536706924,
0.023781951516866684,
-0.031969789415597916,
0.016282634809613228,
-0.013556457124650478,
-0.027615349739789963,
-0.01295167300850153,
0.003351896768435836,
0.008853101171553135,
-0.001642220071516931,
0.0391155406832695,
-0.06259975582361221,
-0.05072738602757454,
0.05113678053021431,
-0.018859943374991417,
-0.025568390265107155,
0.0014886980643495917,
0.0022179274819791317,
0.05690548196434975,
-0.04071589186787605,
0.007690055761486292,
0.012142193503677845,
0.0014852089807391167,
0.05508182942867279,
0.017306115478277206,
0.03336544707417488,
-0.010774452239274979,
0.03952493518590927,
0.013361064717173576,
-0.011509496718645096,
0.0009269471629522741,
0.0104394955560565,
0.01076514832675457,
0.05229052156209946,
0.043097808957099915,
-0.008062230423092842,
-0.02971813455224037,
-0.026033608242869377,
0.020320728421211243,
-0.03247222676873207,
0.05824531242251396,
-0.04268841817975044,
-0.0009944038465619087,
0.012895846739411354,
0.0064711845479905605,
-0.006475836504250765,
-0.0033937664702534676,
-0.007108533289283514,
-0.02990422211587429,
0.010830278508365154,
0.0074341860599815845,
0.026461608707904816,
0.009006623178720474,
0.03494718670845032,
-0.012421324849128723,
0.004110202193260193,
-0.010653495788574219,
0.003603114513680339,
-0.0390038900077343,
0.023037603124976158,
0.07104811817407608,
-0.04131137207150459,
-0.0006268814322538674,
0.00036112559610046446,
0.021641947329044342,
-0.013751848600804806,
-0.014458980411291122,
0.028638828545808792,
-0.009350884705781937,
-0.03528214246034622,
0.0024703084491193295,
-0.0011298985918983817,
0.023279516026377678,
0.0077551864087581635,
0.01372393500059843,
-0.012765586376190186,
-0.06531662493944168,
-0.011602540500462055,
0.006596793420612812,
0.001401469693519175,
0.02674073912203312,
-0.039859890937805176,
0.04767555743455887,
-0.015445242635905743,
0.02715013176202774,
-0.03706858307123184,
-0.014645067043602467,
-0.006596793420612812,
0.05232773721218109,
-0.007583055645227432,
-0.0390038900077343,
0.004242789465934038,
-0.03133709356188774,
-0.00620601000264287,
-0.02949483133852482,
-0.022479340434074402,
-0.02195829711854458,
0.0265546515583992,
-0.005103443283587694,
0.01025340799242258,
0.004310246091336012,
-0.0252334326505661,
0.001905068289488554,
0.022684037685394287,
0.0020306771621108055,
0.0168036799877882,
-0.05143451690673828,
0.01615237444639206,
-0.017548028379678726,
-0.0694105476140976,
0.04324667900800705,
-0.03362596780061722,
-0.019464727491140366,
-0.0336073599755764,
0.02104646898806095,
0.02393082156777382,
0.018887856975197792,
0.029680917039513588,
0.05489574000239372,
-0.01551967766135931,
-0.03308631479740143,
-0.00713179400190711,
-0.02050681598484516,
0.035803187638521194,
-0.00980679877102375,
0.031132398173213005,
0.025084562599658966,
0.008090144023299217,
-0.011369931511580944,
-0.025754475966095924,
0.0019678727257996798,
-0.010932626202702522,
0.015342894941568375,
-0.0011333876755088568,
-0.01811559498310089,
0.02636856399476528,
-0.004598681349307299,
0.031485963612794876,
0.01130480132997036,
-0.04912703484296799,
-0.021251164376735687,
-0.008946144953370094,
0.05545400455594063,
0.024247169494628906,
0.01208636723458767,
-0.006871271878480911,
0.00989984255284071,
-0.008871709927916527,
0.07689125835895538,
0.018283072859048843,
-0.001401469693519175,
0.03144874796271324,
0.03505884110927582,
-0.025568390265107155,
0.0001421822962583974,
-0.03626840561628342,
0.0009333438938483596,
-0.04306059330701828,
-0.002619178267195821,
0.0556400902569294,
-0.0086763184517622,
0.05262547731399536,
0.025270650163292885,
0.001658502733334899,
-0.007662143092602491,
-0.004259072244167328,
-0.01794811524450779,
-0.025586998090147972,
0.03384927287697792,
-0.03319796547293663,
-0.028787698596715927,
0.02080455608665943,
-0.0015503395115956664,
0.003907832317054272,
-0.057277657091617584,
-0.002868069801479578,
-0.0031402225140482187,
-0.024079691618680954,
0.0043870070949196815,
-0.0048057036474347115,
0.008713535964488983,
0.002621504245325923,
-0.008513492532074451,
0.013565761037170887,
-0.010448799468576908,
0.03701275587081909,
-0.04265119880437851,
-0.006275792606174946,
-0.001065931050106883,
-0.011984019540250301,
-0.011481584049761295,
-0.02566143311560154,
0.019222814589738846,
-0.0351518839597702,
0.014626458287239075,
-0.020078815519809723,
-0.010244103148579597,
-0.00795057788491249,
0.01014175545424223,
-0.039078325033187866,
0.02499151974916458,
-0.014700893312692642,
0.033700402826070786,
-0.039078325033187866,
-0.014226370491087437,
0.04588911682367325,
-0.004614964127540588,
-0.004207897931337357,
0.020060205832123756,
0.04641016200184822,
0.02320508100092411,
-0.003019265830516815,
-0.0018178399186581373,
0.00003699937951751053,
-0.03074161522090435,
-0.048419903963804245,
0.031858138740062714,
0.003584505757316947,
-0.02739204466342926,
0.029922831803560257,
-0.0024819388054311275,
-0.006796837318688631,
0.06040392443537712,
-0.0034240055829286575,
0.024619344621896744,
-0.006424662657082081,
-0.003542636288329959,
0.014849763363599777,
-0.002542417263612151,
0.005754748359322548,
-0.02182803489267826,
0.033402662724256516,
-0.015826720744371414,
-0.036156754940748215,
0.027243174612522125,
0.039264410734176636,
-0.01920420490205288,
-0.013193586841225624,
-0.025345085188746452,
-0.03770127892494202,
0.0018445899477228522,
0.017808550968766212,
0.028210828080773354,
-0.01668272353708744,
-0.019781075417995453,
0.014217066578567028,
0.006647967267781496,
0.009262492880225182,
0.009825407527387142,
0.004598681349307299,
-0.03833397477865219,
-0.01219801977276802,
0.018757596611976624,
-0.02039516344666481,
0.012719064019620419,
-0.007648186292499304,
-0.02620108611881733,
-0.013165673241019249,
0.0003070439852308482,
-0.02355864644050598,
-0.022777080535888672,
0.020711511373519897,
-0.01650593988597393,
0.0264988262206316,
-0.042613983154296875,
0.0003529842651914805,
-0.035505447536706924,
0.013286630623042583,
0.026517434045672417,
-0.05132286623120308,
0.004119506571441889,
-0.005201139021664858,
-0.0013607630971819162,
-0.019092552363872528,
-0.022888733074069023,
-0.04994582012295723,
0.032267529517412186,
0.024023864418268204,
0.032918836921453476,
0.014412458054721355,
0.011342018842697144,
-0.026219693943858147,
-0.041757982224226,
-0.02828526310622692,
0.026163868606090546,
-0.024954302236437798,
0.03271413967013359,
0.05724044144153595,
0.006689836736768484,
0.012300367467105389,
-0.02744787000119686,
-0.012058454565703869,
0.03055552765727043,
0.0077040125615894794,
0.0376826710999012,
0.003089048434048891,
-0.021865252405405045,
0.017668984830379486,
-0.016766462475061417,
0.004147419705986977,
-0.016366373747587204,
0.014068196527659893,
-0.013240108266472816,
0.012058454565703869,
-0.06617262959480286,
-0.01303541287779808,
0.027615349739789963,
-0.07279733568429947,
0.01542663387954235,
0.00009369783947477117,
-0.01716654933989048,
-0.007113185245543718
] |
Cough acoustics contain multitudes of vital information about
pathomorphological alterations in the respiratory system. Reliable and accurate
detection of cough events by investigating the underlying cough latent features
and disease diagnosis can play an indispensable role in revitalizing the
healthcare practices. The recent application of Artificial Intelligence (AI)
and advances of ubiquitous computing for respiratory disease prediction has
created an auspicious trend and myriad of future possibilities in the medical
domain. In particular, there is an expeditiously emerging trend of Machine
learning (ML) and Deep Learning (DL)-based diagnostic algorithms exploiting
cough signatures. The enormous body of literature on cough-based AI algorithms
demonstrate that these models can play a significant role for detecting the
onset of a specific respiratory disease. However, it is pertinent to collect
the information from all relevant studies in an exhaustive manner for the
medical experts and AI scientists to analyze the decisive role of AI/ML. This
survey offers a comprehensive overview of the cough data-driven ML/DL detection
and preliminary diagnosis frameworks, along with a detailed list of significant
features. We investigate the mechanism that causes cough and the latent cough
features of the respiratory modalities. We also analyze the customized cough
monitoring application, and their AI-powered recognition algorithms. Challenges
and prospective future research directions to develop practical, robust, and
ubiquitous solutions are also discussed in detail. | [
-0.008087417110800743,
0.02460220828652382,
-0.011317015625536442,
-0.02308134362101555,
0.04562591388821602,
-0.007801136467605829,
-0.048560284078121185,
-0.015960123389959335,
-0.026140963658690453,
0.0376458503305912,
-0.0011585403699427843,
-0.05922422558069229,
0.008794170804321766,
0.008190298452973366,
-0.05464373901486397,
-0.045876406133174896,
0.0002196026616729796,
-0.02590836212038994,
0.02597993053495884,
-0.04598376154899597,
0.018769247457385063,
0.05303341522812843,
0.003636653535068035,
-0.0036008686292916536,
-0.00010420991748105735,
0.06029777601361275,
0.061800744384527206,
-0.021524695679545403,
-0.03771742060780525,
0.06473512202501297,
0.04254839941859245,
-0.012175856158137321,
-0.01703367382287979,
-0.0352303609251976,
-0.0066515421494841576,
-0.01129912305623293,
0.006284745875746012,
0.1019873321056366,
0.008413954637944698,
0.012909449636936188,
0.019538626074790955,
-0.022222504019737244,
-0.043514594435691833,
0.002545210300013423,
-0.030453059822320938,
-0.043264102190732956,
-0.023975970223546028,
-0.006436832249164581,
0.01426928024739027,
0.04473128542304039,
0.024172786623239517,
-0.0329580120742321,
-0.006884145084768534,
-0.05285448953509331,
-0.005117259453982115,
0.014555560424923897,
0.046019546687603,
-0.006602338049560785,
0.06162182241678238,
-0.0005479582468979061,
-0.018304042518138885,
0.0704607218503952,
0.01887660287320614,
-0.009031246416270733,
-0.02819860354065895,
-0.05940314754843712,
-0.03172342851758003,
-0.016953157261013985,
0.016640039160847664,
0.013142052106559277,
-0.02054060623049736,
-0.00503226974979043,
0.009518817998468876,
-0.00133970205206424,
-0.01222953386604786,
0.01120071392506361,
-0.010672884993255138,
0.07944276928901672,
-0.006231068167835474,
-0.06273115426301956,
0.039542458951473236,
0.037395354360342026,
-0.014886572025716305,
0.03626812621951103,
0.08924786001443863,
0.013285192660987377,
-0.02247299812734127,
-0.05467952415347099,
-0.007165952119976282,
0.012667900882661343,
-0.018840817734599113,
0.044981781393289566,
0.015906445682048798,
0.047737229615449905,
0.014108248054981232,
-0.03499775752425194,
-0.009420408867299557,
-0.015745412558317184,
-0.0210952740162611,
-0.0745759978890419,
0.03789634630084038,
-0.025550510734319687,
-0.01178222056478262,
-0.02039746753871441,
-0.03286854922771454,
-0.034908294677734375,
-0.026498815044760704,
0.015002873726189137,
-0.022347750142216682,
0.13018593192100525,
-0.034568339586257935,
-0.004345644731074572,
0.01935970038175583,
-0.009518817998468876,
0.032421234995126724,
0.02281295694410801,
0.002261166460812092,
-0.07700937986373901,
-0.06670329719781876,
-0.0060476697981357574,
0.012560545466840267,
0.060906119644641876,
0.011943253688514233,
0.039614029228687286,
-0.04666367918252945,
0.0838085412979126,
0.03168764337897301,
-0.05088631063699722,
-0.014000892639160156,
0.05983256921172142,
0.0353735014796257,
0.0372164323925972,
-0.030417274683713913,
0.031956031918525696,
0.026856664568185806,
0.03825419768691063,
0.02385072223842144,
0.005059108603745699,
0.05961785838007927,
-0.03857626020908356,
-0.023868614807724953,
-0.013821967877447605,
-0.0038692562375217676,
-0.01592433825135231,
-0.004363536834716797,
-0.02413700334727764,
-0.03542717918753624,
0.06698957830667496,
-0.024280142039060593,
0.008718127384781837,
-0.052138786762952805,
0.019127098843455315,
0.03703750669956207,
0.019771229475736618,
0.014537667855620384,
-0.010073485784232616,
0.04981276020407677,
-0.07672310620546341,
0.005680873524397612,
-0.03218863531947136,
0.018017763271927834,
-0.012828933075070381,
0.038969896733760834,
0.0254252627491951,
0.058759018778800964,
-0.0026883503887802362,
-0.05385646969079971,
-0.023653903976082802,
-0.056218281388282776,
0.04995590075850487,
0.010154002346098423,
0.04151063412427902,
-0.012891557067632675,
0.0073135653510689735,
-0.027196621522307396,
0.05038532242178917,
0.030435167253017426,
0.019073421135544777,
-0.0356597825884819,
0.065629743039608,
-0.043049391359090805,
0.017919354140758514,
-0.009330946020781994,
-0.02082688733935356,
0.07987218350172043,
-0.007537222001701593,
0.0471646673977375,
0.01606747880578041,
-0.0115764569491148,
-0.02089845761656761,
-0.033602144569158554,
-0.029594220221042633,
0.0020565208978950977,
-0.048703424632549286,
-0.026838771998882294,
-0.018250364810228348,
-0.010243464261293411,
0.02356444112956524,
-0.009653011336922646,
-0.014188764616847038,
-0.05671927332878113,
-0.05450059846043587,
-0.003328007645905018,
0.0189660657197237,
0.0186797846108675,
-0.0760074034333229,
0.02399386279284954,
-0.05543101206421852,
0.005452743731439114,
-0.01991436816751957,
-0.054285891354084015,
0.03499775752425194,
-0.04458814859390259,
-0.019520733505487442,
0.0065754991956055164,
-0.003017125418409705,
-0.016801072284579277,
-0.034228380769491196,
0.026158856227993965,
0.038289982825517654,
0.03578503057360649,
0.005998465698212385,
0.016953157261013985,
0.01078918669372797,
-0.010565529577434063,
-0.04523227736353874,
0.025693651288747787,
0.0007050769054330885,
-0.0054080127738416195,
-0.012945234775543213,
-0.019395485520362854,
0.015986962243914604,
-0.023403409868478775,
0.005882164463400841,
0.022795064374804497,
-0.013634095899760723,
-0.01774042844772339,
0.02866380847990513,
0.013142052106559277,
-0.03803948685526848,
0.029862606897950172,
-0.01457345299422741,
-0.02487059496343136,
-0.01713208295404911,
0.05360597372055054,
-0.0279838927090168,
-0.016738448292016983,
0.0555383674800396,
0.018697677180171013,
-0.009724581614136696,
-0.00005049743049312383,
0.008440793491899967,
0.007429866585880518,
0.004117514938116074,
-0.048631854355335236,
0.012775255367159843,
0.026284104213118553,
-0.002375231357291341,
-0.0006061089225113392,
-0.06709693372249603,
0.05843695253133774,
-0.017606234177947044,
0.011961146257817745,
0.022383535280823708,
-0.0662023052573204,
-0.028216496109962463,
0.07901334762573242,
0.008847848512232304,
0.03081091120839119,
-0.05253242328763008,
-0.014152979478240013,
0.03501565009355545,
-0.01006453949958086,
0.031455039978027344,
-0.04934755712747574,
-0.05303341522812843,
0.008498944342136383,
-0.029594220221042633,
-0.012149017304182053,
0.009420408867299557,
0.03192024677991867,
-0.030023640021681786,
0.08201928436756134,
-0.014949196018278599,
-0.0704607218503952,
-0.018661892041563988,
-0.05961785838007927,
-0.020486928522586823,
-0.06494982540607452,
0.0076132649555802345,
-0.015405455604195595,
-0.03886254131793976,
-0.06927981972694397,
-0.009966130368411541,
0.042834680527448654,
-0.029129013419151306,
0.026015715673565865,
0.01348200999200344,
-0.030309919267892838,
-0.01016294863075018,
-0.019610196352005005,
-0.006016358267515898,
0.018044600263237953,
0.06681065261363983,
-0.020093293860554695,
-0.0019938971381634474,
0.04576905444264412,
0.055252086371183395,
-0.021256307139992714,
-0.02046903781592846,
-0.016183780506253242,
0.006168444640934467,
-0.03438941389322281,
0.0076445769518613815,
0.045876406133174896,
0.06466355174779892,
-0.0036277074832469225,
-0.03950667381286621,
-0.0278407521545887,
-0.03533771634101868,
0.0345146618783474,
0.03562399744987488,
-0.08201928436756134,
0.032850656658411026,
-0.016801072284579277,
-0.04516070708632469,
0.012766309082508087,
-0.001982714282348752,
0.04068757966160774,
-0.010171894915401936,
0.0036031052004545927,
0.024208571761846542,
-0.013795129023492336,
0.00897756963968277,
0.05224614217877388,
0.014394528232514858,
-0.042763110250234604,
-0.0016449930844828486,
-0.03279697895050049,
-0.01550386380404234,
0.01691737212240696,
-0.08473894745111465,
-0.08130358904600143,
-0.01909131370484829,
-0.009429355151951313,
-0.02150680311024189,
-0.04075914993882179,
-0.016201671212911606,
0.0010142818791791797,
0.001658412511460483,
0.0009622818324714899,
-0.051101021468639374,
-0.015208637341856956,
-0.022526675835251808,
-0.013428332284092903,
-0.04129592329263687,
0.00276663014665246,
-0.048345573246479034,
0.021524695679545403,
-0.01853664591908455,
0.0189660657197237,
-0.08087416738271713,
-0.01853664591908455,
-0.035319823771715164,
-0.04329988732933998,
-0.021810974925756454,
0.022580353543162346,
-0.0019111442379653454,
0.04376509040594101,
0.061085045337677,
-0.0023573387879878283,
0.04798772558569908,
0.012828933075070381,
0.039256177842617035,
0.018116170540452003,
0.03204549476504326,
0.006043196655809879,
-0.030828803777694702,
-0.02068374678492546,
0.04143906384706497,
-0.01689053326845169,
0.039041467010974884,
0.022240396589040756,
0.011075466871261597,
-0.024566423147916794,
0.03011310286819935,
0.023689689114689827,
-0.03276119381189346,
0.02680298686027527,
0.09024984389543533,
0.0018742409301921725,
0.027142945677042007,
0.03659019246697426,
-0.07751037180423737,
0.045590128749608994,
-0.021793082356452942,
-0.008798643946647644,
0.04637739807367325,
-0.010431336238980293,
-0.0212384145706892,
0.012390566058456898,
0.01064604613929987,
0.01833982765674591,
0.02590836212038994,
-0.04891813546419144,
-0.007559587713330984,
-0.057184476405382156,
-0.007886125706136227,
-0.00857946090400219,
0.001965939998626709,
-0.03211706504225731,
-0.012560545466840267,
0.010637099854648113,
-0.03158028796315193,
0.015978015959262848,
-0.005618249531835318,
0.016640039160847664,
-0.013911429792642593,
-0.018357720226049423,
-0.009796151891350746,
-0.028592238202691078,
0.02496005780994892,
0.020093293860554695,
-0.04143906384706497,
0.004473128821700811,
0.0012267555575817823,
0.019001850858330727,
-0.007072016596794128,
0.01829509623348713,
-0.06566552817821503,
-0.021381555125117302,
0.04784458503127098,
0.041260138154029846,
-0.03403156250715256,
0.009706689044833183,
-0.061729174107313156,
0.012730523943901062,
0.029612112790346146,
-0.04634161293506622,
0.04419451206922531,
-0.042977821081876755,
-0.0008230556850321591,
-0.024655885994434357,
-0.022240396589040756,
-0.06190809980034828,
-0.06537924706935883,
0.03227809816598892,
-0.000993593712337315,
-0.053176552057266235,
-0.019127098843455315,
-0.019807014614343643,
0.032975904643535614,
-0.02308134362101555,
0.0035091694444417953,
-0.014868679456412792,
-0.02778707630932331,
0.013607257045805454,
-0.024977950379252434,
0.030971942469477654,
-0.02771550603210926,
-0.007734039332717657,
0.0737171620130539,
0.00978720560669899,
0.019771229475736618,
-0.029862606897950172,
0.04720045253634453,
-0.055037375539541245,
-0.029182691127061844,
0.00460284948348999,
-0.0032161795534193516,
-0.008498944342136383,
-0.0303993821144104,
-0.025282124057412148,
-0.03227809816598892,
0.029862606897950172,
-0.025514725595712662,
0.037395354360342026,
-0.03825419768691063,
0.025962039828300476,
0.03102562017738819,
0.0301846731454134,
0.019610196352005005,
-0.034496769309043884,
-0.014009838923811913,
-0.02957632765173912,
-0.025264231488108635,
0.012184802442789078,
0.03875518590211868,
0.03073934093117714,
-0.031258221715688705,
-0.002204134128987789,
-0.026695631444454193,
0.0257115438580513,
-0.03358425199985504,
-0.007389608770608902,
-0.029737358912825584,
0.010368712246418,
0.03530193120241165,
0.06738320738077164,
0.034711480140686035,
0.01667582429945469,
-0.014331904239952564,
-0.01575435884296894,
0.03095404990017414,
-0.05750654265284538,
0.016013801097869873,
-0.026087285950779915,
-0.03585660085082054,
-0.0021985427010804415,
0.03328007832169533,
0.03136557713150978,
0.024029647931456566,
-0.019109206274151802,
-0.05009904131293297,
0.012318996712565422,
-0.005797174759209156,
0.016058532521128654,
0.017185760661959648,
0.007411974016577005,
0.014832894317805767,
0.004616268910467625,
0.018643999472260475,
-0.01041344366967678,
0.03571346029639244,
-0.05031375214457512,
0.007711674086749554,
0.0043411715887486935,
0.01909131370484829,
0.026999805122613907,
-0.03369160369038582,
-0.018787140026688576,
-0.009366731159389019,
-0.0026637481059879065,
-0.010216626338660717,
-0.015870660543441772,
0.0021471017971634865,
0.006083454936742783,
0.03825419768691063,
-0.002143746940419078,
-0.041868485510349274,
-0.04641318321228027,
0.033870529383420944,
0.009080450981855392,
0.0007430984987877309,
-0.005264872685074806,
0.014752378687262535,
0.01348200999200344,
-0.0184650756418705,
-0.005296184215694666,
0.01713208295404911,
0.011835898272693157,
0.013956161215901375,
-0.005385647062212229,
-0.01606747880578041,
-0.05825802683830261,
-0.016201671212911606,
0.010681831277906895,
0.025353694334626198,
-0.02696401998400688,
-0.020844779908657074,
-0.011791166849434376,
0.0007895072340033948,
-0.002018499420955777,
0.041045427322387695,
0.011701704934239388,
-0.006020831409841776,
0.01715892180800438,
0.030971942469477654,
-0.009751420468091965,
0.00964406505227089,
-0.0031065877992659807,
-0.013079428113996983,
0.03472937270998955,
-0.009465140290558338,
0.02227618172764778,
0.023940185084939003,
0.04050865396857262,
-0.06312479078769684,
0.006548660341650248,
0.03481883555650711,
-0.028985874727368355,
0.04154641926288605,
0.007653523236513138,
0.015056551434099674,
0.004421687684953213,
-0.045590128749608994,
-0.02916479855775833,
-0.01822352595627308,
-0.016863694414496422,
-0.016058532521128654,
0.019681766629219055,
0.0186082161962986,
-0.0740034431219101,
-0.003750718431547284,
-0.07407501339912415,
-0.003412997117266059,
0.027268191799521446,
0.04455236345529556,
0.026981912553310394,
-0.03646494448184967,
0.02674930915236473,
0.02406543307006359,
0.0563972070813179,
0.07700937986373901,
-0.0024177259765565395,
0.009635118767619133,
0.010914433747529984,
-0.014886572025716305,
0.009500925429165363,
0.028985874727368355,
-0.013052589260041714,
-0.043944016098976135,
0.04122435301542282,
0.0077787707559764385,
0.04641318321228027,
-0.015736466273665428,
0.060619838535785675,
0.05575307458639145,
-0.007528275717049837,
0.003256437601521611,
0.015074444003403187,
-0.017731482163071632,
0.00024546292843297124,
-0.022705601528286934,
0.010592368431389332,
0.04627004265785217,
-0.03184867650270462,
-0.03328007832169533,
-0.020039616152644157,
-0.03499775752425194,
-0.04798772558569908,
0.005551152862608433,
-0.006910983938723803,
-0.024208571761846542,
0.025836791843175888,
-0.016908425837755203,
-0.0127842016518116,
0.035051435232162476,
0.046484753489494324,
-0.0028359636198729277,
-0.027858644723892212,
0.021399447694420815,
0.005609303247183561,
0.017114190384745598,
0.008248449303209782,
0.04680681973695755,
-0.06766948848962784,
0.03796791657805443,
0.048417143523693085,
0.0035382448695600033,
0.018930280581116676,
0.03455044701695442,
-0.007993481121957302,
0.043872445821762085,
-0.013025750406086445,
-0.017409417778253555,
0.036429159343242645,
0.004171192646026611,
0.04823822155594826,
0.019681766629219055,
0.02404754050076008,
0.011621188372373581,
0.05829381197690964,
0.019127098843455315,
0.026087285950779915,
-0.0051798829808831215,
0.050564248114824295,
-0.013025750406086445,
-0.011379639618098736,
0.029111120849847794,
0.0057077123783528805,
-0.06924403458833694,
-0.013329923152923584,
-0.010171894915401936,
0.003533771727234125,
-0.02496005780994892,
0.013956161215901375,
0.02653460018336773,
-0.02674930915236473,
-0.03700172156095505,
-0.06963767111301422,
-0.042834680527448654,
-0.015047605149447918,
-0.0024423282593488693,
-0.06269536912441254,
0.01092338003218174,
0.04079493507742882,
0.03789634630084038,
-0.04040129855275154,
0.01027030311524868,
-0.007000446319580078,
0.046699464321136475,
0.04100964218378067,
-0.0305425226688385,
-0.028842734172940254,
0.04891813546419144,
-0.037252217531204224,
-0.0021963061299175024,
-0.006919930223375559,
0.006870725657790899,
-0.02177518978714943,
-0.01841139793395996,
-0.01653268374502659,
0.007224102970212698,
-0.03362003341317177,
0.05060003325343132,
0.0055824643932282925,
-0.025693651288747787,
-0.02454853057861328,
-0.013473063707351685,
-0.012175856158137321,
0.008543675765395164,
-0.006978080607950687,
0.005886637140065432,
0.05968942865729332,
-0.0023662850726395845,
-0.006427885964512825,
0.0027040063869208097,
0.005372227635234594,
0.007054124027490616,
0.026498815044760704,
-0.0006290337187238038,
-0.018143009394407272,
-0.015360724180936813,
0.008038212545216084,
0.0325285904109478,
-0.012095339596271515,
0.0055422065779566765,
-0.030488844960927963,
0.0043434081599116325,
0.019198669120669365,
-0.010359765961766243,
-0.05052846297621727,
0.013052589260041714,
-0.002077768323943019,
0.005000957753509283,
0.035051435232162476,
0.055645719170570374,
0.03317272290587425,
0.048774994909763336,
-0.019198669120669365,
-0.024763239547610283,
0.020486928522586823,
-0.036357589066028595,
-0.011317015625536442,
0.012623169459402561,
-0.028717486187815666,
0.004513386636972427,
-0.006656015291810036,
-0.008592880330979824,
0.011800113134086132,
0.012184802442789078,
0.09654801338911057,
-0.03279697895050049,
-0.018715569749474525,
-0.02728608436882496,
0.003750718431547284,
0.018661892041563988,
-0.009966130368411541,
0.013777236454188824,
-0.018769247457385063,
0.0518525093793869,
0.015280207619071007,
0.018643999472260475,
0.023618118837475777,
-0.005801647901535034,
-0.0464489683508873,
0.05038532242178917,
-0.005305130500346422,
0.03875518590211868,
0.047665659338235855,
0.0061416057869791985,
0.04981276020407677,
-0.01853664591908455,
-0.0007598727243021131,
-0.05865166336297989,
0.06133554130792618,
0.007125693839043379,
0.005904529709368944,
-0.02742922492325306,
-0.030989835038781166,
0.042906250804662704,
-0.011406478472054005,
0.005864271894097328,
-0.019556518644094467,
0.0356597825884819,
0.02445906773209572,
-0.01691737212240696,
0.005059108603745699,
0.04652053862810135,
-0.0029723939951509237,
0.004468655679374933,
0.022240396589040756,
-0.027536580339074135,
-0.007112274412065744,
-0.03283276408910751,
0.01057447586208582,
-0.026033608242869377,
-0.007698254659771919,
0.010610261000692844,
0.06419834494590759,
-0.03682279586791992,
0.0005325818783603609,
0.020486928522586823,
-0.004316569305956364,
-0.02921847626566887,
-0.03358425199985504,
-0.015280207619071007,
0.005215668119490147,
0.001995015423744917,
0.030649878084659576,
0.025138983502984047,
0.005085947457700968,
-0.005220141261816025,
0.008293180726468563,
0.01527126133441925,
-0.02481691725552082,
0.06426991522312164,
-0.029200583696365356,
-0.01371461246162653,
-0.027590258046984673,
-0.03879097104072571,
0.02198990061879158,
-0.0517093688249588,
0.0018764775013551116,
-0.02274138666689396,
0.045804839581251144,
0.0029925231356173754,
-0.014385581947863102,
0.011379639618098736,
0.01978912204504013,
-0.023403409868478775,
-0.02322448417544365,
-0.011907468549907207,
-0.015208637341856956,
0.022294074296951294,
0.04723623767495155,
0.024280142039060593,
0.014904464595019817,
0.023313947021961212,
-0.03612498566508293,
0.003719406435266137,
-0.01880503259599209,
0.0043814294040203094,
-0.014466098509728909,
-0.016326919198036194,
-0.012551599182188511,
-0.014555560424923897,
0.008431847207248211,
-0.004005686845630407,
-0.006503928918391466,
-0.04920441657304764,
0.016282187774777412,
-0.006222121883183718,
0.0602262057363987,
-0.013821967877447605,
0.022079363465309143,
-0.01568278856575489,
0.015074444003403187,
0.001093679922632873,
0.02005750872194767,
0.00437919283285737,
-0.013356762006878853,
-0.0057479701936244965,
-0.0056764003820717335,
-0.027393439784646034,
0.009733527898788452,
-0.02322448417544365,
-0.03149082511663437,
-0.02735765464603901,
-0.044015586376190186,
-0.014501883648335934,
0.023886507377028465,
0.008172405883669853,
-0.019198669120669365,
0.025210553780198097,
-0.013276246376335621,
0.049383342266082764,
-0.0026413823943585157,
-0.00016997888451442122,
0.022097256034612656,
0.022651923820376396,
0.030148888006806374,
-0.0010903250658884645,
0.0461626872420311,
-0.039936091750860214,
-0.04891813546419144,
0.02046903781592846,
0.03168764337897301,
-0.02027221955358982,
-0.012220587581396103,
0.025282124057412148,
0.030435167253017426,
-0.01621956378221512,
0.013660934753715992,
0.03871940076351166,
-0.0056137763895094395,
0.0002309252740815282,
-0.0013452934799715877,
-0.00985877588391304,
0.009831937029957771,
-0.007702727802097797,
-0.010261356830596924,
-0.01295418106019497,
-0.004625215195119381,
0.04079493507742882,
0.0258546844124794,
-0.0231529138982296,
0.017212599515914917,
-0.039399318397045135,
-0.05535944178700447,
-0.04465971514582634,
-0.019484948366880417,
0.02170361950993538,
0.021041598170995712,
-0.00014327990356832743,
0.0073448773473501205,
-0.004678892437368631,
0.03149082511663437,
0.021327877417206764,
0.04909706115722656,
-0.0284133143723011,
-0.04426608234643936,
0.01928813010454178,
-0.024691671133041382,
-0.0037372990045696497,
0.004728097002953291,
0.00810978189110756,
0.005202248692512512,
-0.019699659198522568,
0.020934242755174637,
0.04523227736353874,
0.06509296596050262,
0.015700681135058403,
0.03141925483942032,
-0.04301360622048378,
-0.01602274738252163,
0.02426224946975708,
-0.008838902227580547,
-0.010046646930277348,
0.02089845761656761,
0.011630134657025337,
-0.00546169001609087,
-0.005815067328512669,
-0.02660616859793663,
-0.004687838722020388,
0.01826825737953186,
-0.02218671888113022,
0.02496005780994892,
-0.0008554858504794538,
-0.030864587053656578,
0.020558498799800873,
0.02563997358083725,
-0.026767201721668243,
-0.00415106350556016,
-0.010914433747529984,
-0.020647961646318436,
0.0025362640153616667,
0.0024043067824095488,
-0.01957441121339798,
-0.03929196298122406,
0.03922039270401001,
-0.014806056395173073,
-0.00028278559329919517,
-0.00015921542944852263,
0.032904334366321564,
-0.0034085239749401808,
-0.018286149948835373,
0.011164928786456585,
-0.011728543788194656,
0.059260010719299316,
-0.04068757966160774,
-0.06265958398580551,
-0.012775255367159843,
-0.032904334366321564,
-0.015414401888847351,
0.009384623728692532,
-0.03943510353565216,
-0.04455236345529556,
-0.005667454097419977,
-0.03875518590211868,
0.016255348920822144,
0.007215156685560942,
-0.04397980123758316,
0.004473128821700811,
0.0022074889857321978,
0.026641953736543655,
-0.033870529383420944,
-0.043514594435691833,
0.035176683217287064,
0.007443286012858152,
-0.009402516297996044,
-0.013777236454188824,
0.01013610977679491,
-0.04612690210342407,
-0.02356444112956524,
0.004558118060231209,
-0.024781132116913795,
0.02184676006436348,
0.027626043185591698,
-0.004696785006672144,
0.027107160538434982,
0.031240331009030342,
0.03562399744987488,
-0.026999805122613907,
0.032099172472953796,
0.04025815799832344,
-0.016103263944387436,
-0.01710524410009384,
0.042691539973020554,
0.014627130702137947,
-0.035051435232162476,
-0.005023323465138674,
-0.026910342276096344,
0.057184476405382156,
0.0424768291413784,
-0.0189660657197237,
-0.026158856227993965,
0.005618249531835318,
-0.023063451051712036,
0.006611284334212542,
-0.016702663153409958,
0.01323151495307684,
-0.03342321887612343
] |
The application of Unbiased Learning to Rank (ULTR) is widespread in modern
systems for training unbiased ranking models from biased click logs. The key is
to explicitly model a generation process for user behavior and fit click data
based on examination hypothesis. Previous research found empirically that the
true latent relevance can be recovered in most cases as long as the clicks are
perfectly fitted. However, we demonstrate that this is not always achievable,
resulting in a significant reduction in ranking performance. In this work, we
aim to answer if or when the true relevance can be recovered from click data,
which is a foundation issue for ULTR field. We first define a ranking model as
identifiable if it can recover the true relevance up to a scaling
transformation, which is enough for pairwise ranking objective. Then we explore
an equivalent condition for identifiability that can be novely expressed as a
graph connectivity test problem: if and only if a graph (namely identifiability
graph, or IG) constructed on the underlying structure of the dataset is
connected, we can guarantee that the relevance can be correctly recovered. When
the IG is not connected, there may be bad cases leading to poor ranking
performance. To address this issue, we propose two methods, namely node
intervention and node merging, to modify the dataset and restore connectivity
of the IG. Empirical results obtained on a simulation dataset and two LTR
benchmark datasets confirm the validity of our proposed theorems and show the
effectiveness of our methods in mitigating data bias when the relevance model
is unidentifiable. | [
-0.02563261240720749,
-0.013992821797728539,
-0.03402252122759819,
0.0061718858778476715,
0.018708528950810432,
0.018043121322989464,
-0.03857428580522537,
0.01866995356976986,
-0.02381962165236473,
-0.013626365922391415,
-0.0073484014719724655,
0.02819780260324478,
-0.013173118233680725,
-0.07629993557929993,
-0.0007564176339656115,
-0.003799566999077797,
0.029142873361706734,
-0.005511301103979349,
0.015101832337677479,
-0.01729092374444008,
0.021138709038496017,
-0.030743705108761787,
-0.020212925970554352,
0.05693564563989639,
0.0014597956323996186,
0.0023578531108796597,
0.008380263112485409,
-0.025420453399419785,
-0.059983015060424805,
-0.010868305340409279,
0.029547901824116707,
0.02754203975200653,
0.02202591672539711,
-0.0017418700736016035,
-0.038979314267635345,
-0.050802335143089294,
0.07363831251859665,
-0.0042166514322161674,
-0.04794783517718315,
0.03814996778964996,
-0.010993671603500843,
0.03446612507104874,
0.016172269359230995,
0.001571902073919773,
-0.010849017649888992,
-0.02381962165236473,
-0.007406262680888176,
-0.001389879733324051,
-0.02287455089390278,
-0.016230130568146706,
-0.004780800547450781,
-0.029393605887889862,
-0.001017999486066401,
-0.03708917647600174,
0.0000946275467867963,
0.03089800290763378,
0.04223884269595146,
-0.01920999400317669,
0.024513958021998405,
0.006914440542459488,
-0.010868305340409279,
0.028969287872314453,
-0.07379260659217834,
-0.012613791041076183,
0.08332045376300812,
-0.04196882247924805,
0.007902906276285648,
0.0128452368080616,
0.041081614792346954,
0.004414344672113657,
-0.08964663743972778,
0.04331892356276512,
0.06939513981342316,
-0.01944144070148468,
-0.014629297889769077,
0.08262611925601959,
-0.0009402481955476105,
-0.006205637939274311,
-0.015198267996311188,
0.003044957760721445,
0.05084090679883957,
0.026191940531134605,
0.02447538450360298,
0.059327252209186554,
0.021813757717609406,
-0.0007992109749466181,
0.02268167957663536,
-0.06924084573984146,
0.03311602398753166,
0.024996137246489525,
0.005771677475422621,
-0.03936505690217018,
0.00660102441906929,
-0.027889208868145943,
0.0028231556061655283,
0.0038043889217078686,
0.019962193444371223,
0.002070956863462925,
-0.08980093896389008,
0.02580619603395462,
0.02611479163169861,
-0.037590641528367996,
0.006986767519265413,
0.04721492528915405,
0.021755896508693695,
-0.08316615968942642,
-0.0032595270313322544,
0.059983015060424805,
0.008018629625439644,
0.2163245975971222,
-0.031013725325465202,
0.014889674261212349,
-0.01464858464896679,
-0.006890331860631704,
-0.04112018644809723,
0.004431221168488264,
-0.08193178474903107,
-0.08208607882261276,
0.034118954092264175,
-0.01544900145381689,
-0.006851757410913706,
0.03228667750954628,
0.050378017127513885,
0.009638749994337559,
-0.03469756990671158,
0.04609627276659012,
-0.034716855734586716,
0.02844853512942791,
-0.005217172205448151,
0.03498687595129013,
0.03421539068222046,
0.01799490489065647,
-0.002830388257279992,
-0.05003084987401962,
0.02447538450360298,
0.0432032011449337,
0.037841372191905975,
-0.018110627308487892,
-0.04401325806975365,
-0.021948767825961113,
0.018718171864748,
-0.01998147927224636,
-0.018284210935235023,
0.005246102809906006,
-0.07236535847187042,
0.030743705108761787,
-0.029412891715765,
0.0010529574938118458,
-0.022585244849324226,
0.004474617075175047,
-0.013163475319743156,
0.021331580355763435,
0.02347245253622532,
0.061448834836483,
0.042701732367277145,
-0.0037778690457344055,
0.02017435058951378,
-0.04085016995668411,
-0.0015164515934884548,
-0.01782131940126419,
0.049722254276275635,
-0.035141173750162125,
-0.019663242623209953,
0.06657921522855759,
-0.0015779293607920408,
0.08339760452508926,
0.040001533925533295,
-0.004286567680537701,
-0.01998147927224636,
0.046597737818956375,
-0.024321086704730988,
-0.004571052733808756,
-0.0344468355178833,
-0.04027155414223671,
0.03589337319135666,
0.040425851941108704,
0.05708994343876839,
-0.003857428440824151,
-0.02856425754725933,
-0.016596585512161255,
-0.013616723008453846,
-0.011909810826182365,
-0.011302265338599682,
0.019123202189803123,
0.038921453058719635,
-0.0022939646150916815,
0.07784290611743927,
0.026269087567925453,
-0.006803539581596851,
0.06576915830373764,
0.009436234831809998,
0.028602832928299904,
0.05894150957465172,
-0.011254047974944115,
-0.007912550121545792,
-0.026924850419163704,
-0.05496835708618164,
-0.013404564000666142,
0.02933574467897415,
-0.010521136224269867,
0.034716855734586716,
-0.0002526917087379843,
-0.00031914195278659463,
0.021698035299777985,
0.010482561774551868,
-0.007854688912630081,
0.06210459768772125,
-0.009629106149077415,
-0.032209526747465134,
-0.03980866074562073,
-0.031476616859436035,
-0.0038357304874807596,
-0.019663242623209953,
0.023356730118393898,
-0.0229902733117342,
-0.012382345274090767,
-0.025729048997163773,
0.00975447241216898,
0.018457796424627304,
-0.023356730118393898,
-0.012594504281878471,
0.03078228048980236,
0.0763385072350502,
0.019431795924901962,
-0.02435966208577156,
-0.032267387956380844,
-0.008197035640478134,
0.019007479771971703,
0.05647275224328041,
-0.025671187788248062,
-0.0026375167071819305,
0.016365140676498413,
0.008814224041998386,
-0.007280896417796612,
0.02387748286128044,
0.03180449828505516,
-0.03012651763856411,
-0.011205829679965973,
0.007642530370503664,
-0.029316456988453865,
0.007459302432835102,
-0.010868305340409279,
-0.029007863253355026,
0.01263307873159647,
0.07869154214859009,
-0.03251812234520912,
-0.01896890439093113,
0.0270019993185997,
0.015709377825260162,
0.052962493151426315,
-0.02046365849673748,
-0.011292622424662113,
0.016095120459794998,
-0.007208569440990686,
-0.04632771760225296,
0.02557475119829178,
0.023125283420085907,
-0.055238377302885056,
-0.008790114894509315,
-0.05658847838640213,
0.05481405928730965,
0.02634623646736145,
-0.023896770551800728,
0.015680447220802307,
-0.009566422551870346,
0.025729048997163773,
0.05921152979135513,
0.011533711105585098,
0.044437576085329056,
0.016673734411597252,
-0.024031780660152435,
-0.004614449106156826,
0.012363058514893055,
-0.017985260114073753,
-0.027156297117471695,
-0.04038727656006813,
0.005945261567831039,
-0.04328034818172455,
-0.003276403294876218,
-0.033328182995319366,
-0.02983720973134041,
0.018168488517403603,
-0.02370389923453331,
0.01223769225180149,
-0.0019480014452710748,
-0.0560484379529953,
0.015188625082373619,
0.0034379332792013884,
-0.015159694477915764,
-0.020270787179470062,
-0.002714665373787284,
-0.004780800547450781,
-0.059018656611442566,
-0.015468288213014603,
0.034948304295539856,
0.018264923244714737,
0.01704983413219452,
-0.015535793267190456,
0.02933574467897415,
-0.012941672466695309,
0.020965123549103737,
0.02208377793431282,
-0.025304730981588364,
0.03604767099022865,
-0.009807512164115906,
0.013153831474483013,
0.05411972105503082,
0.020560093224048615,
-0.011167255230247974,
-0.08123744279146194,
0.0045397114008665085,
0.03431182727217674,
0.009783403016626835,
-0.03965436667203903,
0.017059477046132088,
-0.002495274180546403,
0.0043299635872244835,
0.0008914276259019971,
-0.016538724303245544,
-0.008317580446600914,
-0.028544971719384193,
-0.017319854348897934,
-0.056511327624320984,
0.009711076505482197,
0.020444370806217194,
-0.03600909560918808,
0.03155376389622688,
0.09149820357561111,
-0.003298101481050253,
0.0031582696828991175,
-0.057282812893390656,
-0.01901712268590927,
-0.03419610485434532,
-0.01716555655002594,
0.029142873361706734,
-0.0394807793200016,
-0.0357583612203598,
0.027272019535303116,
-0.0050773401744663715,
-0.024513958021998405,
-0.0026013534516096115,
-0.015198267996311188,
0.0033511410001665354,
0.0163844283670187,
0.03436968848109245,
-0.04482331871986389,
-0.02497684955596924,
0.0184288639575243,
0.055431246757507324,
0.027387741953134537,
0.0011903783306479454,
-0.02111942134797573,
-0.0012205145321786404,
0.05315536633133888,
0.05778427794575691,
-0.06650206446647644,
-0.030936576426029205,
0.021890906617045403,
-0.013028465211391449,
0.023028848692774773,
0.027445603162050247,
-0.060407329350709915,
-0.049722254276275635,
0.05527695268392563,
-0.0687393769621849,
-0.007613599766045809,
0.028313525021076202,
0.028776416555047035,
0.018978549167513847,
0.014233911409974098,
-0.0472920723259449,
-0.013848168775439262,
0.034408263862133026,
-0.0007540067308582366,
-0.05303964391350746,
0.02677055448293686,
0.018216706812381744,
-0.007073559798300266,
-0.012797019444406033,
0.051342375576496124,
-0.0246682558208704,
-0.013404564000666142,
0.043897535651922226,
0.017975617200136185,
-0.00035108625888824463,
0.04308747500181198,
0.027272019535303116,
0.01359743531793356,
-0.010222185403108597,
-0.007946303114295006,
0.05820859596133232,
-0.05303964391350746,
0.008341689594089985,
-0.030994437634944916,
0.0182456374168396,
-0.0027243089862167835,
-0.018949618563055992,
-0.0014622064772993326,
0.011196186766028404,
-0.0405801497399807,
0.00487723620608449,
0.015381496399641037,
-0.02029007486999035,
0.00015926960622891784,
-0.018824251368641853,
0.013529930263757706,
-0.0028713734354823828,
-0.04135163500905037,
0.03433111310005188,
-0.03452398627996445,
0.020733678713440895,
-0.025786910206079483,
-0.016490507870912552,
-0.003553655929863453,
0.031071586534380913,
0.003235418116673827,
-0.05465976148843765,
-0.0028279772959649563,
0.04088874161243439,
-0.04667488485574722,
-0.00945552159100771,
0.046366289258003235,
0.05087948217988014,
-0.026982713490724564,
-0.0690479725599289,
0.05450546368956566,
-0.008438125252723694,
-0.02322172001004219,
0.0405801497399807,
-0.02989507094025612,
0.05288534611463547,
0.03001079335808754,
0.007623243145644665,
-0.008616531267762184,
-0.02148587629199028,
0.000739541370421648,
0.01686660572886467,
-0.014050683006644249,
-0.05898008123040199,
-0.01463894173502922,
0.003980384208261967,
0.0045614093542099,
0.016577299684286118,
0.008958877995610237,
-0.013934960588812828,
-0.01746450737118721,
0.007729322649538517,
-0.02395463176071644,
0.0017430755542591214,
-0.0031052299309521914,
-0.02989507094025612,
0.0707838162779808,
-0.06353184580802917,
-0.06681066006422043,
0.06711925566196442,
-0.04517048969864845,
0.007073559798300266,
-0.03637555241584778,
0.041853100061416626,
-0.04559480398893356,
-0.06692638248205185,
0.06303038448095322,
0.003522314364090562,
-0.0750269815325737,
-0.02947075478732586,
0.0029798634350299835,
-0.029432179406285286,
-0.018747102469205856,
-0.0063406480476260185,
-0.026076216250658035,
0.021620886400341988,
-0.08563491702079773,
-0.008076490834355354,
-0.001324785640463233,
0.02646195888519287,
0.002861729823052883,
-0.02316385880112648,
-0.07352259010076523,
0.0178791806101799,
0.001327196485362947,
0.013472069054841995,
0.10168181359767914,
0.017850250005722046,
0.006707103922963142,
0.04891219362616539,
-0.01668337918817997,
0.0418916754424572,
0.033038876950740814,
-0.010357195511460304,
-0.05084090679883957,
-0.02017435058951378,
0.011186542920768261,
-0.04783211275935173,
0.014542505145072937,
-0.024938276037573814,
-0.025304730981588364,
-0.0184288639575243,
-0.06210459768772125,
0.026481246575713158,
0.013529930263757706,
0.028911426663398743,
0.029065724462270737,
-0.02393534407019615,
0.02239237353205681,
0.02503471076488495,
-0.021466590464115143,
0.01890140026807785,
0.03969293832778931,
-0.00023476069327443838,
-0.014783594757318497,
-0.009209610521793365,
-0.03463970869779587,
0.025227582082152367,
-0.013867455534636974,
0.037069886922836304,
0.02239237353205681,
0.0024410290643572807,
-0.024938276037573814,
0.02191019430756569,
0.01932571642100811,
0.0340803824365139,
-0.0015236842446029186,
-0.023356730118393898,
0.046597737818956375,
-0.017252348363399506,
0.049297936260700226,
0.013761376030743122,
-0.03915289789438248,
0.000016885667719179764,
-0.03841998800635338,
-0.022527381777763367,
0.03168877586722374,
-0.007748609408736229,
-0.035199034959077835,
-0.0016454344149678946,
0.007338757626712322,
0.009903947822749615,
0.016490507870912552,
-0.04455329850316048,
-0.03701202571392059,
0.006210459861904383,
0.029181446880102158,
0.0042431713081896305,
0.03138018026947975,
-0.013259910978376865,
0.0011337223695591092,
0.023086709901690483,
-0.039345771074295044,
0.0316694900393486,
0.0232795812189579,
0.0072712525725364685,
0.015815457329154015,
-0.027387741953134537,
-0.015738308429718018,
-0.023453164845705032,
0.015921536833047867,
-0.04814070835709572,
-0.00042672804556787014,
0.001198213780298829,
0.02250809594988823,
-0.014465357176959515,
-0.022488808259367943,
-0.03923004865646362,
-0.017483795061707497,
0.025786910206079483,
-0.02927788347005844,
0.03608624264597893,
0.07375403493642807,
-0.06615489721298218,
0.012941672466695309,
-0.02239237353205681,
0.014658228494226933,
-0.02682841569185257,
-0.016162626445293427,
0.0023795512970536947,
0.03915289789438248,
-0.005472726654261351,
-0.03001079335808754,
0.011919453740119934,
0.026326950639486313,
0.0029726307839155197,
-0.038072820752859116,
0.015256130136549473,
0.07267395406961441,
-0.013703514821827412,
-0.017387358471751213,
-0.02256595715880394,
-0.047446370124816895,
0.05905723199248314,
0.013848168775439262,
-0.04601912200450897,
0.04019440710544586,
-0.012469138018786907,
-0.0022409248631447554,
-0.01239198911935091,
-0.003204076550900936,
-0.0036283936351537704,
0.01901712268590927,
0.021215856075286865,
-0.04266316071152687,
0.008630996569991112,
0.006557628512382507,
0.0405801497399807,
0.010849017649888992,
0.01197731588035822,
0.02256595715880394,
0.022720254957675934,
-0.013250267133116722,
0.011466206051409245,
0.021987343207001686,
-0.05130380019545555,
-0.012478780932724476,
0.062451768666505814,
-0.0480249859392643,
0.005019478965550661,
-0.05099520459771156,
0.028062792494893074,
-0.01777310110628605,
0.0005966959870420396,
-0.030049368739128113,
0.03595123440027237,
-0.015178981237113476,
0.040001533925533295,
0.019586093723773956,
-0.025825483724474907,
0.016124051064252853,
-0.014687159098684788,
-0.000524369184859097,
0.010714007541537285,
-0.018573518842458725,
-0.02376176044344902,
-0.025169720873236656,
-0.0067601436749100685,
-0.033810362219810486,
-0.01494753547012806,
0.006311717443168163,
-0.011350483633577824,
0.019287142902612686,
0.02370389923453331,
0.010849017649888992,
-0.007343579549342394,
0.020020054653286934,
-0.009701432660222054,
0.041621655225753784,
-0.010733295232057571,
-0.013327416032552719,
0.022585244849324226,
-0.02239237353205681,
0.005144845228642225,
0.02387748286128044,
-0.01227626670151949,
0.04146735742688179,
0.03379107266664505,
0.03456255793571472,
0.0337139256298542,
-0.019788607954978943,
-0.012700583785772324,
0.05010799691081047,
0.030454399064183235,
0.0035994630306959152,
0.03269170597195625,
-0.020695103332400322,
0.011851949617266655,
-0.015024684369564056,
0.02623051404953003,
-0.020675817504525185,
0.03751349076628685,
0.002719487063586712,
0.020444370806217194,
0.05712851509451866,
-0.008264540694653988,
-0.01885318197309971,
-0.024764690548181534,
0.03762921690940857,
0.0030112052336335182,
-0.013038108125329018,
0.010347551666200161,
0.061487410217523575,
0.023453164845705032,
-0.036819156259298325,
-0.029181446880102158,
-0.0015694912290200591,
0.035739075392484665,
-0.015111476182937622,
-0.005111092701554298,
-0.02106156013906002,
0.006017588544636965,
0.012440207414329052,
-0.03120659664273262,
-0.00022903482022229582,
-0.032981015741825104,
-0.034292541444301605,
0.010578997433185577,
0.023125283420085907,
-0.015612942166626453,
-0.010096819140017033,
0.0012886222684755921,
-0.0008606887422502041,
0.010463275015354156,
0.014532862231135368,
-0.02148587629199028,
0.02029007486999035,
0.014147119596600533,
0.035256896167993546,
-0.02177518419921398,
0.00037248292937874794,
0.013973535038530827,
0.006634776946157217,
-0.0033969481009989977,
-0.00739661930128932,
-0.013163475319743156,
-0.009175858460366726,
-0.01223769225180149,
0.01308632642030716,
0.006200816482305527,
0.019528232514858246,
0.0560484379529953,
0.010733295232057571,
-0.019730746746063232,
0.017310211434960365,
0.0004686173051595688,
-0.0014308649115264416,
0.06735070049762726,
-0.06414903700351715,
-0.02293241210281849,
0.015805812552571297,
0.0307244174182415,
0.024687543511390686,
0.01914248988032341,
-0.008717788383364677,
0.01806240901350975,
0.027117721736431122,
-0.00023310320102609694,
0.014783594757318497,
0.006871044635772705,
0.03726276010274887,
-0.034485410898923874,
0.01058864127844572,
-0.01328884158283472,
-0.023318154737353325,
0.011244404129683971,
0.013192405924201012,
0.02449467033147812,
-0.010781512595713139,
-0.009339799173176289,
0.012729514390230179,
0.008650283329188824,
0.02634623646736145,
-0.003522314364090562,
-0.02015506476163864,
0.021736610680818558,
-0.0398472361266613,
0.03587408363819122,
-0.019489657133817673,
-0.03128374367952347,
-0.03392608463764191,
0.04112018644809723,
-0.012806662358343601,
0.033752501010894775,
-0.02898857556283474,
0.0018178131431341171,
0.030203664675354958,
0.0015887783374637365,
0.004443275276571512,
0.0335017666220665,
-0.015285060741007328,
-0.04544050991535187,
0.01675088331103325,
0.014446069486439228,
-0.02927788347005844,
0.01980789564549923,
0.004395057447254658,
0.052538175135850906,
-0.03543047979474068,
0.02983720973134041,
-0.010366839356720448,
0.021196570247411728,
-0.041313059628009796,
-0.046597737818956375,
0.024938276037573814,
0.023067422211170197,
0.017859894782304764,
-0.00344998762011528,
-0.012565573677420616,
0.00860688742250204,
0.01741628907620907,
0.005810251925140619,
-0.02640409767627716,
0.01691482402384281,
0.03587408363819122,
-0.035083312541246414,
0.002277088351547718,
0.008737076073884964,
0.005332895088940859,
0.0243017990142107,
-0.028795704245567322,
0.010308978147804737,
-0.016934111714363098,
-0.04220026731491089,
-0.017126983031630516,
0.03597052022814751,
-0.00006392633076757193,
-0.018342072144150734,
0.03830426558852196,
-0.06735070049762726,
-0.027098435908555984,
0.021524451673030853,
0.008978164754807949,
-0.01975003443658352,
0.0054968358017504215,
0.0445147268474102,
0.04640486463904381,
-0.012228048406541348,
-0.00888172909617424,
-0.008978164754807949,
-0.02017435058951378,
0.028159229084849358,
0.03078228048980236,
-0.020560093224048615,
-0.0027315416373312473,
-0.03192022070288658,
-0.0368577279150486,
-0.023973917588591576,
-0.03965436667203903,
-0.020907262340188026,
-0.016403714194893837,
-0.009532670490443707,
0.01860244944691658,
0.029142873361706734,
-0.013963891193270683,
-0.0005436563515104353,
0.026076216250658035,
-0.0027966357301920652,
0.028043504804372787,
-0.028583545237779617,
0.012054463848471642,
-0.04925936087965965,
-0.007536450866609812,
0.012729514390230179,
0.0012693350436165929,
0.0032884578686207533,
-0.008510451763868332,
0.032614558935165405,
-0.02407035417854786,
0.01758022978901863,
0.036703433841466904,
-0.016249418258666992,
0.0028135119937360287,
-0.02364603616297245,
0.026963425800204277,
0.028294239193201065,
0.02370389923453331,
0.020386509597301483,
-0.007656995672732592,
-0.004260047804564238,
-0.04362751543521881,
0.00893959030508995,
0.047137778252363205,
-0.01872781477868557,
-0.018023835495114326,
0.03157305344939232,
-0.006321360822767019,
-0.04559480398893356,
-0.053618256002664566,
0.02725273184478283,
0.015815457329154015,
0.013578148558735847,
-0.08324331045150757,
-0.01992361806333065,
-0.04436042904853821,
0.009185501374304295,
-0.02279740199446678,
-0.03442754969000816,
0.06337755173444748,
0.013616723008453846,
-0.0008100600098259747,
0.04154450446367264,
0.013838524930179119,
0.013790306635200977,
-0.03246026113629341,
0.007256787270307541,
0.00965803675353527,
0.0037489384412765503,
-0.04382038861513138,
0.019827183336019516,
-0.048102132976055145,
-0.031843073666095734,
-0.035739075392484665,
-0.011369770392775536,
-0.06445763260126114,
-0.00812953058630228,
0.04127448424696922,
-0.055122654885053635,
-0.022546669468283653,
-0.0007624448626302183,
-0.014561792835593224,
0.014889674261212349,
0.0163844283670187,
0.01344313845038414,
-0.002557957312092185,
-0.011254047974944115,
-0.017869537696242332,
-0.028467822819948196,
-0.008688857778906822,
0.025786910206079483,
0.010405413806438446,
0.004180488176643848,
0.00876600667834282,
0.06314610689878464,
-0.01729092374444008,
0.02862212061882019,
-0.05192098766565323,
-0.009518205188214779,
-0.05708994343876839,
0.03149590268731117,
-0.026847703382372856,
-0.07113098353147507,
0.014918604865670204,
0.0015489986399188638,
-0.01530434750020504,
-0.011871236376464367,
0.02472611702978611,
-0.011302265338599682,
0.01044398732483387,
-0.03438897430896759,
-0.0033824825659394264,
0.03132231906056404,
0.05670420080423355,
-0.007955946028232574,
0.029200734570622444,
-0.033578913658857346,
0.0013802361208945513,
-0.002873784163966775,
-0.0013392509426921606,
0.0018419221742078662,
0.044206131249666214,
-0.019190706312656403,
0.014677515253424644,
0.007415906526148319,
-0.04401325806975365,
-0.02617265284061432,
-0.007637708447873592,
-0.01008717529475689,
-0.015584011562168598,
0.0011795293539762497,
-0.01068507693707943,
0.019460726529359818,
-0.0017045012209564447,
-0.023511026054620743,
0.004749458748847246,
-0.024533245712518692,
0.012218404561281204,
-0.02785063348710537,
-0.03593194857239723,
-0.010067888535559177,
0.005979014094918966,
-0.01589260622859001,
-0.00822596624493599,
-0.07294397056102753,
0.013153831474483013,
-0.02185233309864998,
0.024938276037573814,
-0.02520829625427723,
-0.018891755491495132,
-0.06665636599063873,
0.04181452468037605,
-0.06376329064369202,
-0.020810827612876892,
-0.043588943779468536,
0.0353919081389904,
0.012922385707497597,
0.024687543511390686,
0.032807428389787674,
0.015342921949923038,
0.009638749994337559,
0.0209458377212286,
0.021736610680818558,
-0.02376176044344902,
-0.005472726654261351,
0.028467822819948196,
0.010251116007566452,
0.03425396606326103,
-0.006972302217036486,
0.014368921518325806,
-0.0034090024419128895,
0.00017644722538534552,
0.011996602639555931,
-0.019547518342733383,
-0.04100446403026581,
-0.006668529473245144,
0.00026339004398323596,
-0.00872743222862482,
-0.015159694477915764,
-0.006133311428129673,
-0.02063724212348461,
0.02694413810968399,
-0.008722609840333462,
-0.005511301103979349,
0.0014983698492869735,
0.03342461958527565,
-0.07753431051969528,
0.02071439102292061,
0.02333744242787361,
0.03737848252058029,
0.006581737659871578,
0.01263307873159647,
0.04555623233318329,
-0.02111942134797573,
0.026095503941178322,
0.023607462644577026,
0.0567813478410244,
-0.027291307225823402,
-0.01686660572886467,
0.011871236376464367,
-0.06688781082630157,
-0.012343771755695343,
-0.05693564563989639,
0.032556697726249695,
0.04088874161243439,
-0.034716855734586716,
0.0012934439582750201,
-0.04632771760225296,
0.013375633396208286,
-0.07784290611743927
] |
A wireless communications system usually consists of a transmitter which
transmits the information and a receiver which recovers the original
information from the received distorted signal. Deep learning (DL) has been
used to improve the performance of the receiver in complicated channel
environments and state-of-the-art (SOTA) performance has been achieved.
However, its robustness has not been investigated. In order to evaluate the
robustness of DL-based information recovery models under adversarial
circumstances, we investigate adversarial attacks on the SOTA DL-based
information recovery model, i.e., DeepReceiver. We formulate the problem as an
optimization problem with power and peak-to-average power ratio (PAPR)
constraints. We design different adversarial attack methods according to the
adversary's knowledge of DeepReceiver's model and/or testing samples. Extensive
experiments show that the DeepReceiver is vulnerable to the designed attack
methods in all of the considered scenarios. Even in the scenario of both model
and test sample restricted, the adversary can attack the DeepReceiver and
increase its bit error rate (BER) above 10%. It can also be found that the
DeepReceiver is vulnerable to adversarial perturbations even with very low
power and limited PAPR. These results suggest that defense measures should be
taken to enhance the robustness of DeepReceiver. | [
0.0043109399266541,
-0.006607879884541035,
-0.02067468874156475,
-0.018152732402086258,
0.021601485088467598,
0.07129202783107758,
-0.021975768730044365,
0.0004425118677318096,
-0.03938884660601616,
0.036857977509498596,
-0.011014618910849094,
-0.04598335921764374,
0.038497697561979294,
-0.04313167929649353,
0.02012217603623867,
-0.00461615901440382,
0.021654954180121422,
0.007276242598891258,
0.01844681240618229,
-0.028766334056854248,
0.021672777831554413,
-0.03931755572557449,
-0.021601485088467598,
0.04694580286741257,
-0.03650151938199997,
0.024203643202781677,
0.026395874097943306,
-0.031172439455986023,
-0.08234229683876038,
-0.025148263201117516,
0.06034870445728302,
0.022956034168601036,
-0.021191556006669998,
-0.02946143038570881,
-0.05603553354740143,
-0.03402411937713623,
0.008082733489573002,
0.026128528639674187,
-0.015229759737849236,
0.025166086852550507,
-0.024898741394281387,
-0.09382031112909317,
0.007209406699985266,
0.0097759198397398,
0.03502221032977104,
-0.024720510467886925,
-0.02413235232234001,
0.010880946181714535,
-0.008274330757558346,
0.016762537881731987,
-0.0238471832126379,
-0.08070258051156998,
0.007151481695473194,
0.016352608799934387,
-0.03348943218588829,
0.06373507529497147,
0.07742314040660858,
-0.012645423412322998,
0.016611043363809586,
0.012208759784698486,
0.029728775843977928,
0.013572219759225845,
0.026966210454702377,
0.005404827184975147,
-0.028873272240161896,
-0.014837653376162052,
0.03646587207913399,
0.014900034293532372,
-0.003704957664012909,
-0.009419459849596024,
-0.07107815146446228,
-0.03266957402229309,
0.003577968804165721,
0.03598465025424957,
-0.043880242854356766,
0.014703980647027493,
0.01653975062072277,
0.07214753329753876,
0.006126658990979195,
0.03375677764415741,
0.03343596309423447,
0.06173889711499214,
-0.03949578478932381,
-0.01694076880812645,
0.03268739581108093,
0.04915585368871689,
-0.04915585368871689,
-0.08120162039995193,
-0.004879048094153404,
0.0029096058569848537,
-0.007628247141838074,
0.012297875247895718,
-0.03924626111984253,
-0.001055456232279539,
0.002524183364585042,
0.007668348960578442,
-0.004065873567014933,
-0.03881850838661194,
-0.04969054460525513,
-0.015817919746041298,
-0.0005837035132572055,
0.017127910628914833,
-0.0008337825420312583,
0.04748049005866051,
0.006113291718065739,
-0.04338119924068451,
-0.0550730936229229,
0.051330260932445526,
0.028285112231969833,
0.17880040407180786,
-0.023936299607157707,
0.04751613736152649,
0.02646716684103012,
0.03610941395163536,
-0.00033891561906784773,
0.01034625619649887,
-0.053397729992866516,
-0.056962329894304276,
0.004825579468160868,
-0.021173732355237007,
-0.028695041313767433,
0.020852917805314064,
-0.004669628106057644,
-0.008528308942914009,
-0.034095413982868195,
0.057497020810842514,
0.022225290536880493,
-0.026805803179740906,
-0.031903184950351715,
0.013456370681524277,
-0.04505656287074089,
-0.00266676745377481,
-0.011691892519593239,
-0.028302935883402824,
0.03138631582260132,
0.03543213754892349,
-0.02725137770175934,
0.013189025223255157,
0.010337344370782375,
-0.004977074917405844,
0.07592601329088211,
0.017537839710712433,
0.04573383554816246,
0.015416901558637619,
0.01778736151754856,
0.08212842047214508,
0.016290228813886642,
0.017974503338336945,
-0.04812211915850639,
0.021120263263583183,
-0.02591465227305889,
0.03252698853611946,
0.012511751614511013,
0.06605206429958344,
0.06316474080085754,
0.005320167634636164,
0.03953143209218979,
-0.025379963219165802,
0.008809021674096584,
-0.02782171405851841,
0.0013155607739463449,
-0.03799865022301674,
0.050652988255023956,
0.03414888307452202,
-0.023383785039186478,
0.025522546842694283,
0.06063387170433998,
0.008033720776438713,
-0.08084516227245331,
0.0388898029923439,
0.006888592150062323,
-0.017154645174741745,
-0.032723043113946915,
-0.008390180766582489,
-0.01625458337366581,
0.02644934318959713,
0.024150174111127853,
-0.01930231787264347,
-0.05539390817284584,
0.0005266141961328685,
-0.015140645205974579,
0.03543213754892349,
0.009588778018951416,
-0.0183220524340868,
0.027358315885066986,
0.00227466132491827,
0.005997442174702883,
-0.06580254435539246,
-0.032277464866638184,
0.026894917711615562,
0.030655572190880775,
0.0013411813415586948,
0.012146379798650742,
-0.05938626080751419,
0.008706538937985897,
-0.07535567879676819,
-0.019088441506028175,
-0.016914034262299538,
0.013313786126673222,
0.0008293268037959933,
-0.012378078885376453,
0.00900952983647585,
-0.007726273499429226,
0.009891768917441368,
0.009267963469028473,
-0.022367874160408974,
0.07111380249261856,
0.013162290677428246,
-0.016619954258203506,
-0.025540370494127274,
-0.045270439237356186,
-0.057247500866651535,
-0.02315208688378334,
0.026627572253346443,
0.01012346800416708,
-0.00041939763468690217,
-0.02550472319126129,
-0.03086944855749607,
-0.04487833380699158,
-0.013777184300124645,
0.028730688616633415,
0.015773361548781395,
0.03454098850488663,
-0.005302344914525747,
-0.04847858101129532,
-0.07763701677322388,
-0.0683690533041954,
0.0015472598606720567,
-0.021690599620342255,
-0.013046441599726677,
-0.04095727205276489,
0.02452445775270462,
0.054752279072999954,
-0.034220173954963684,
0.024417519569396973,
0.017252670601010323,
0.00022097743931226432,
0.030833803117275238,
-0.04715967923402786,
-0.02518390864133835,
-0.03129719942808151,
-0.007285154424607754,
-0.018821096047759056,
-0.049512315541505814,
0.03309732303023338,
0.008742185309529305,
-0.013411813415586948,
0.08063128590583801,
-0.03414888307452202,
-0.01066706981509924,
-0.04313167929649353,
0.01654866151511669,
-0.02243916690349579,
0.03653716668486595,
-0.06690756976604462,
-0.014231671579182148,
0.025397785007953644,
-0.06950972974300385,
0.025807714089751244,
-0.06045564264059067,
0.04409411922097206,
-0.01171862706542015,
0.014436636120080948,
0.013037529774010181,
-0.04038693383336067,
-0.008978339843451977,
0.03343596309423447,
0.03799865022301674,
-0.01762695424258709,
0.029443608596920967,
-0.029782244935631752,
0.010987884365022182,
-0.03585989028215408,
-0.010542308911681175,
0.018215114250779152,
0.0020574433729052544,
0.012992972508072853,
0.003912149928510189,
-0.002106456784531474,
-0.018642865121364594,
0.0612042061984539,
0.02851681225001812,
0.027215732261538506,
-0.04184842109680176,
0.008541676215827465,
-0.03400629758834839,
-0.00896051712334156,
0.013723716139793396,
-0.03881850838661194,
0.004250787198543549,
-0.025273025035858154,
0.003807439934462309,
-0.04587642103433609,
-0.009900680743157864,
0.025522546842694283,
0.004054734017699957,
-0.023062972351908684,
-0.08048870414495468,
0.02725137770175934,
-0.003774021752178669,
-0.028819803148508072,
-0.01342072430998087,
-0.0031145706307142973,
0.020015237852931023,
-0.06501833349466324,
-0.013527662493288517,
-0.0004853984573855996,
0.04997571185231209,
0.007258419878780842,
-0.04865681007504463,
0.05952884629368782,
0.007802021689713001,
-0.04302474111318588,
-0.05799606442451477,
-0.010809654369950294,
0.009125379845499992,
-0.029176263138651848,
-0.0008070480544120073,
-0.014623777940869331,
-0.01053339708596468,
-0.0002289142576046288,
0.037535253912210464,
-0.04797953739762306,
0.022813448682427406,
0.008733273483812809,
-0.007089101243764162,
-0.005712273996323347,
0.07385854423046112,
-0.04252569377422333,
0.003782933345064521,
-0.028035590425133705,
0.013349432498216629,
-0.012030529789626598,
-0.03307950124144554,
0.03689362481236458,
0.011736450716853142,
-0.0380699448287487,
0.020852917805314064,
0.011335432529449463,
-0.04762307554483414,
-0.014703980647027493,
-0.031208086758852005,
-0.06886810064315796,
-0.05635634809732437,
-0.018428988754749298,
-0.03056645765900612,
-0.04990442097187042,
0.010729450732469559,
-0.017421990633010864,
0.004484714008867741,
0.001022595097310841,
0.012164202518761158,
0.008760008029639721,
0.034505341202020645,
0.04088597744703293,
-0.06394895166158676,
-0.031047679483890533,
-0.031172439455986023,
-0.02174406871199608,
-0.033810246735811234,
0.022243112325668335,
-0.021993590518832207,
-0.0030945197213441133,
0.028695041313767433,
-0.04020870476961136,
-0.06990183144807816,
-0.026075059548020363,
0.002501904731616378,
-0.006291521713137627,
-0.00029463658574968576,
0.02890891768038273,
0.030905093997716904,
-0.008559498935937881,
-0.008488207124173641,
-0.042490050196647644,
-0.009214494377374649,
-0.011308697983622551,
-0.019231025129556656,
-0.03220617398619652,
0.06687192618846893,
0.008777830749750137,
0.043737661093473434,
0.017707157880067825,
-0.007338623516261578,
0.03127937763929367,
0.04437929019331932,
0.0030811524484306574,
0.004217369016259909,
-0.007775287143886089,
0.062202297151088715,
0.00767726032063365,
-0.021013325080275536,
-0.022902565076947212,
-0.023597661405801773,
0.04519914835691452,
-0.007035632152110338,
-0.027055324986577034,
0.026627572253346443,
0.013064264319837093,
-0.052399642765522,
-0.04890633374452591,
0.017448723316192627,
0.012404813431203365,
-0.017689334228634834,
0.0008922643028199673,
0.046767570078372955,
0.017814096063375473,
-0.05828123539686203,
-0.0388898029923439,
-0.005935061257332563,
0.055429551750421524,
-0.02094203419983387,
0.0007541360100731254,
-0.013866299763321877,
0.022670865058898926,
0.024043237790465355,
-0.03867592662572861,
-0.012369167059659958,
-0.007824299857020378,
-0.023205555975437164,
0.011531486175954342,
0.04252569377422333,
0.060134828090667725,
-0.0238471832126379,
0.017555661499500275,
0.052577871829271317,
0.0135098397731781,
-0.018206201493740082,
0.0532195009291172,
-0.04466445744037628,
0.03853334113955498,
0.007151481695473194,
-0.006224685348570347,
-0.07243270426988602,
-0.03967401385307312,
-0.059992242604494095,
0.03764219209551811,
0.009076366201043129,
-0.05863769352436066,
0.005810300353914499,
0.02684144861996174,
-0.004807756282389164,
-0.006950973067432642,
0.04541302099823952,
-0.021583661437034607,
-0.0526135191321373,
0.022136176005005836,
-0.015657512471079826,
0.016566485166549683,
0.013153379783034325,
-0.05578601360321045,
0.02300950326025486,
-0.06423411518335342,
-0.0019182012183591723,
0.043309908360242844,
-0.022617395967245102,
0.009793742559850216,
-0.051437199115753174,
-0.029514899477362633,
-0.024684865027666092,
-0.008710995316505432,
0.07175542414188385,
0.024720510467886925,
-0.033257730305194855,
0.020478636026382446,
0.059849657118320465,
-0.013875211589038372,
-0.006607879884541035,
0.0016619954258203506,
-0.0038297188002616167,
-0.020157821476459503,
-0.04862116277217865,
0.014311875216662884,
0.03760654479265213,
0.015639688819646835,
0.0005600323202088475,
-0.034933093935251236,
-0.05892286077141762,
0.007178216241300106,
-0.016067441552877426,
0.037143148481845856,
0.0286593958735466,
-0.02340160869061947,
-0.004576057195663452,
0.0062558758072555065,
-0.02591465227305889,
0.016058528795838356,
0.009022897109389305,
0.006144481711089611,
-0.05535826086997986,
0.0004842845373786986,
-0.00018185036606155336,
-0.018910210579633713,
0.008042631670832634,
-0.03635893389582634,
-0.008091645315289497,
-0.01887456513941288,
-0.013367255218327045,
0.05860204994678497,
0.04366636648774147,
0.011861211620271206,
-0.03578859940171242,
0.036162883043289185,
0.013973237946629524,
-0.0038430860731750727,
-0.003731692209839821,
0.031101148575544357,
0.0290693249553442,
-0.005569689907133579,
0.04969054460525513,
0.031493254005908966,
0.011558220721781254,
0.0020852917805314064,
-0.030691219493746758,
-0.006683627609163523,
0.005355813540518284,
-0.03158237040042877,
0.00930360984057188,
0.005039455369114876,
0.057532668113708496,
0.03259827941656113,
-0.0397096611559391,
-0.01405344158411026,
0.08469492942094803,
-0.0319388285279274,
0.018482457846403122,
0.0317249521613121,
0.017279405146837234,
-0.06744226068258286,
-0.029514899477362633,
-0.006349446251988411,
0.03619852662086487,
0.00027054769452661276,
-0.05450275540351868,
-0.00767726032063365,
0.03429146483540535,
0.015096087008714676,
0.054075002670288086,
-0.052007537335157394,
0.03626982122659683,
-0.0093659907579422,
0.04505656287074089,
-0.019391432404518127,
0.004279749467968941,
0.02521955594420433,
-0.008020353503525257,
0.01239590160548687,
-0.03512914851307869,
0.011326521635055542,
-0.010488839820027351,
0.017145732417702675,
-0.016138732433319092,
0.009998707100749016,
0.025379963219165802,
-0.03803429752588272,
0.03281215578317642,
0.018081441521644592,
0.03468357399106026,
-0.0503678172826767,
-0.01723484881222248,
-0.018411166965961456,
0.013661335222423077,
-0.013313786126673222,
0.0145346624776721,
0.007271787151694298,
-0.008951605297625065,
-0.004963707644492388,
0.03256263583898544,
0.03760654479265213,
0.01709226332604885,
-0.03689362481236458,
-0.007053455337882042,
-0.013019707053899765,
0.007053455337882042,
0.01833987422287464,
-0.016468459740281105,
-0.01055122073739767,
-0.010248228907585144,
0.03391718119382858,
0.03238440304994583,
0.01720811426639557,
-0.030548634007573128,
-0.019623130559921265,
0.0019839236047118902,
0.0391036793589592,
-0.014035617932677269,
0.008519397117197514,
-0.0015138416783884168,
0.025789892300963402,
-0.008911503478884697,
-0.025255201384425163,
-0.003584652440622449,
0.0266097504645586,
0.021262846887111664,
-0.028142528608441353,
-0.04163454473018646,
0.04509221017360687,
0.01612091064453125,
0.016094176098704338,
-0.02587900683283806,
-0.018678512424230576,
0.06384201347827911,
0.03817688301205635,
0.06099032983183861,
-0.02147672325372696,
-0.03279433399438858,
0.014089087024331093,
0.031350668519735336,
-0.02258175052702427,
0.012182025238871574,
0.03101203218102455,
0.018928034231066704,
0.0859781876206398,
-0.009410548023879528,
0.017315052449703217,
-0.019498370587825775,
-0.018375521525740623,
0.04683886468410492,
0.0153545206412673,
-0.017689334228634834,
0.014374255202710629,
-0.006313800346106291,
0.022243112325668335,
-0.006024176720529795,
-0.004117114935070276,
0.025736423209309578,
-0.02794647589325905,
-0.036857977509498596,
0.0008555043605156243,
-0.042383112013339996,
-0.01446337066590786,
0.024007590487599373,
-0.02106679417192936,
-0.002397194504737854,
-0.01735069788992405,
0.010809654369950294,
0.01885674148797989,
0.002352637005969882,
0.007904503494501114,
-0.008225318044424057,
-0.01260086614638567,
0.01586247608065605,
-0.054894864559173584,
0.012485017068684101,
-0.005119659006595612,
0.003733919933438301,
0.004355497658252716,
0.02894456312060356,
0.053255144506692886,
0.06252311170101166,
0.01170971617102623,
0.020139997825026512,
-0.0031457608565688133,
0.0005555765819735825,
0.010016529820859432,
-0.04010176658630371,
0.07161284238100052,
0.023259025067090988,
0.046910155564546585,
-0.012315697968006134,
0.03689362481236458,
0.0163793433457613,
-0.021458901464939117,
0.00492360582575202,
0.023900652304291725,
-0.027999944984912872,
0.05346902087330818,
-0.01653083972632885,
0.014561397023499012,
0.04601900652050972,
-0.04587642103433609,
-0.021387608721852303,
-0.0009563157218508422,
-0.011014618910849094,
0.0014793096343055367,
-0.013429636135697365,
0.05033217370510101,
0.019605308771133423,
-0.021387608721852303,
-0.015541662462055683,
-0.026948386803269386,
0.020139997825026512,
0.0028494533617049456,
0.046339817345142365,
0.006835123524069786,
-0.02684144861996174,
-0.012565219774842262,
0.0008655298152007163,
-0.027197908610105515,
-0.0040992917492985725,
-0.0230273250490427,
0.014374255202710629,
0.03277651220560074,
-0.012226583436131477,
-0.03086944855749607,
0.005863769445568323,
0.011246317997574806,
-0.02274215780198574,
0.005823667626827955,
-0.03511132299900055,
0.009045176208019257,
0.0065989685244858265,
-0.00747229577973485,
0.009392725303769112,
0.021833183243870735,
0.05689103901386261,
0.007115835789591074,
-0.010720538906753063,
-0.004400054924190044,
0.03361419215798378,
0.018090352416038513,
0.044165413826704025,
0.033952828496694565,
0.008933782577514648,
0.03635893389582634,
-0.011192848905920982,
0.026823626831173897,
0.014008883386850357,
0.022243112325668335,
0.027750423178076744,
0.04876374825835228,
0.04366636648774147,
0.019213201478123665,
-0.0462685264647007,
0.0033618647139519453,
0.013750449754297733,
-0.035485606640577316,
-0.04077903926372528,
-0.038497697561979294,
0.010711627081036568,
-0.005689994897693396,
0.004691906739026308,
-0.03799865022301674,
0.010114557109773159,
0.039210617542266846,
-0.014285140670835972,
0.014730715192854404,
0.029158439487218857,
0.05264916270971298,
0.0017867564456537366,
0.027358315885066986,
-0.04170583561062813,
0.022670865058898926,
0.0017455407651141286,
0.004816667642444372,
-0.008038176223635674,
0.019052794203162193,
0.009196671657264233,
-0.011968149803578854,
-0.001297737704589963,
0.010684892535209656,
-0.016361521556973457,
0.03445187211036682,
-0.02300950326025486,
-0.008693171665072441,
0.009205583482980728,
0.039460137486457825,
0.019730068743228912,
0.037107501178979874,
0.02422146685421467,
0.016316963359713554,
0.06680063158273697,
0.00027583888731896877,
0.0032994842622429132,
0.031332846730947495,
-0.042775217443704605,
-0.02192229963839054,
-0.002468486549332738,
0.022403519600629807,
-0.022563926875591278,
0.021975768730044365,
0.013999972492456436,
0.02409670688211918,
-0.03165366128087044,
-0.004638437647372484,
-0.010203671641647816,
0.04473574832081795,
-0.03249134123325348,
-0.028178174048662186,
0.023383785039186478,
-0.06783436238765717,
0.0021231656428426504,
-0.037392668426036835,
-0.0007402117480523884,
-0.037392668426036835,
-0.025682954117655754,
0.00791341532021761,
-0.008042631670832634,
-0.028285112231969833,
0.011754273436963558,
0.01569315791130066,
-0.004749831277877092,
0.001117836800403893,
-0.03792735934257507,
0.022492635995149612,
0.028837626799941063,
0.003364092670381069,
0.055572137236595154,
-0.046767570078372955,
-0.03653716668486595,
0.017564574256539345,
-0.023526370525360107,
-0.04184842109680176,
-0.0008415801567025483,
-0.0388898029923439,
-0.01582683064043522,
-0.0005536271492019296,
-0.019355785101652145,
-0.006313800346106291,
0.009882858023047447,
0.02603941410779953,
0.004077013116329908,
-0.009383813478052616,
0.03482615575194359,
-0.03266957402229309,
0.028855448588728905,
-0.004019088111817837,
-0.006955428514629602,
-0.017831919714808464,
-0.04502091556787491,
0.010221494361758232,
-0.0103908134624362,
-0.02880197949707508,
0.041135501116514206,
-0.011326521635055542,
-0.03004959039390087,
0.002613298362120986,
-0.002472942229360342,
0.023668954148888588,
0.007940149866044521,
-0.0093659907579422,
0.0008677576552145183,
-0.008336711674928665,
0.0027447431348264217,
-0.04270392656326294,
-0.014490105211734772,
-0.035877712070941925,
0.06384201347827911,
-0.0171992015093565,
0.007761919870972633,
0.0030321390368044376,
-0.007757463958114386,
0.01507826428860426,
-0.006692539434880018,
-0.054075002670288086,
-0.015185202471911907,
-0.0013835110003128648,
-0.0069153266958892345,
-0.028338581323623657,
-0.03942449390888214,
-0.0008209722582250834,
0.048514224588871,
0.016316963359713554,
0.007485663052648306,
-0.03001394495368004,
-0.013679157942533493,
-0.00006909896183060482,
0.04241875931620598,
-0.007320800330489874,
-0.04142066836357117,
0.001058241119608283,
0.03250916674733162,
-0.01150475163012743,
-0.019605308771133423,
0.009143202565610409,
-0.003528955392539501,
0.014454458840191364,
-0.017555661499500275,
0.03199229761958122,
-0.006099924445152283,
-0.002158811781555414,
0.023098617792129517,
-0.017680423334240913,
0.04420105740427971,
-0.0007908959523774683,
-0.019070617854595184,
0.004736464004963636,
-0.021423254162073135,
0.022510457783937454,
-0.019623130559921265,
0.023722423240542412,
-0.011772096157073975,
0.048977624624967575,
-0.0344875194132328,
0.03085162490606308,
-0.02286691777408123,
0.003633665619418025,
-0.037784773856401443,
-0.014499016106128693,
-0.04765872284770012,
0.014427724294364452,
0.051472846418619156,
0.002113140420988202,
0.007387636695057154,
0.03935319930315018,
0.006710362154990435,
-0.02536213956773281,
-0.021155910566449165,
-0.05029652640223503,
0.028445519506931305,
-0.006362813524901867,
-0.026253290474414825,
0.018945856019854546,
-0.043737661093473434,
0.023169908672571182,
0.01253848522901535,
-0.026681041345000267,
0.004535955376923084,
-0.009080822579562664,
-0.011798830702900887,
-0.04502091556787491,
-0.046624988317489624,
-0.009312521666288376,
0.013812830671668053,
0.07075733691453934,
-0.00210311496630311,
-0.026003768667578697,
-0.030762510374188423,
0.011228494346141815,
0.0018268582643941045,
0.027643484994769096,
-0.0033351301681250334,
-0.038283821195364,
0.007583689410239458,
0.012226583436131477,
0.01985483057796955,
-0.02782171405851841,
0.013590043410658836,
0.02561166137456894,
0.029693130403757095,
-0.016227848827838898,
-0.0180636178702116,
-0.020442988723516464,
0.018375521525740623,
0.027893006801605225,
0.037963006645441055,
-0.009606600739061832,
0.04576948285102844,
-0.02976442314684391,
0.010150202549993992,
-0.04092162474989891,
-0.006643525790423155,
0.021441077813506126,
-0.04013741388916969,
0.0054761189967393875,
-0.058780279010534286,
0.007868858054280281,
0.003736147889867425,
-0.02700185589492321,
0.034808333963155746,
-0.051437199115753174,
-0.016744716092944145,
-0.00950857438147068,
-0.04423670470714569,
-0.012832565233111382,
0.03263392671942711,
-0.004041366744786501,
-0.021690599620342255,
-0.03459445759654045,
0.038497697561979294,
-0.016192201524972916,
0.015595131553709507,
0.019195379689335823,
-0.011905768886208534,
-0.03667974844574928,
0.039460137486457825,
-0.051437199115753174,
-0.020603395998477936,
-0.07261092960834503,
0.014320786111056805,
0.014115821570158005,
-0.028623750433325768,
-0.06227358803153038,
-0.03293691948056221,
0.019783537834882736,
0.03127937763929367,
0.019926121458411217,
-0.027376139536499977,
0.0044423844665288925,
-0.0002255724393762648,
0.05617811903357506,
0.008764463476836681,
-0.0009652272565290332,
0.022100528702139854,
-0.025308670476078987,
-0.07075733691453934,
0.03956707566976547,
0.011068088002502918,
-0.02436405047774315,
-0.008991707116365433,
-0.04808647558093071,
-0.041527606546878815,
-0.00720049487426877,
0.009499662555754185,
-0.03338249400258064,
-0.0018680739449337125,
0.012894946150481701,
-0.02438187412917614,
-0.010168025270104408,
0.02329467050731182,
-0.03291909396648407,
0.012422636151313782,
0.029176263138651848,
0.060598224401474,
-0.041135501116514206,
0.011362167075276375,
0.06523220986127853,
-0.05293433368206024,
-0.031742777675390244,
-0.0030945197213441133,
0.015096087008714676,
-0.05578601360321045,
-0.053362082690000534,
0.024880917742848396,
-0.028463343158364296,
-0.01501588337123394,
-0.0700087696313858,
0.04822905734181404,
0.0415632538497448,
-0.004852313548326492,
0.00471864128485322,
-0.008167393505573273,
-0.0004416764131747186,
-0.033542901277542114
] |
Due to the large state space of the two-qubit system, and the adoption of
ladder reward function in the existing quantum state preparation methods, the
convergence speed is slow and it is difficult to prepare the desired target
quantum state with high fidelity under limited conditions. To solve the above
problems, a difference-driven reinforcement learning (RL) algorithm for quantum
state preparation of two-qubit system is proposed by improving the reward
function and action selection strategy. Firstly, a model is constructed for the
problem of preparing quantum states of a two-qubit system, with restrictions on
the type of quantum gates and the time for quantum state evolution. In the
preparation process, a weighted differential dynamic reward function is
designed to assist the algorithm quickly obtain the maximum expected cumulative
reward. Then, an adaptive e-greedy action selection strategy is adopted to
achieve a balance between exploration and utilization to a certain extent,
thereby improving the fidelity of the final quantum state. The simulation
results show that the proposed algorithm can prepare quantum state with high
fidelity under limited conditions. Compared with other algorithms, it has
different degrees of improvement in convergence speed and fidelity of the final
quantum state. | [
0.01781320758163929,
-0.0148738669231534,
-0.019101684913039207,
-0.0035111024044454098,
0.0032373007852584124,
0.019021155312657356,
0.009107928723096848,
0.03945963829755783,
-0.07305669784545898,
0.020567329600453377,
0.02217792719602585,
-0.002647419460117817,
-0.0009467293275520205,
-0.011660725809633732,
0.004678785335272551,
0.06323205679655075,
0.012393547222018242,
0.05492137372493744,
0.01786152459681034,
-0.04306737706065178,
-0.044420275837183,
-0.00010764579201349989,
-0.011684884317219257,
0.04297073930501938,
0.004517725668847561,
0.0148899732157588,
0.028427043929696083,
-0.024948153644800186,
-0.10964947193861008,
0.052312202751636505,
-0.009679690934717655,
0.031535498797893524,
-0.031052319332957268,
-0.03862212598323822,
-0.02456161007285118,
0.013915562070906162,
-0.01005012821406126,
-0.03778461739420891,
-0.03478890284895897,
0.05079824477434158,
0.020229103043675423,
-0.020438481122255325,
-0.06899799406528473,
-0.016492517665028572,
0.03113284893333912,
-0.01778099499642849,
0.009140140376985073,
-0.024980366230010986,
-0.02090555429458618,
0.002905115019530058,
-0.04696502164006233,
-0.02361135743558407,
0.049413129687309265,
0.012602925300598145,
-0.020454587414860725,
-0.009011292830109596,
0.0021400812547653913,
0.007477198727428913,
0.04000724107027054,
0.004578123334795237,
0.074602872133255,
-0.007038310635834932,
-0.11351490765810013,
0.004876083694398403,
-0.01776489056646824,
-0.05411607399582863,
0.01937548629939556,
-0.03356485068798065,
0.02536690980195999,
0.012143904343247414,
-0.05153911933302879,
-0.043453916907310486,
-0.011250022798776627,
0.004735156428068876,
0.005004931706935167,
0.0048277657479047775,
-0.007461092434823513,
0.019923090934753418,
0.007183264475315809,
0.006301462650299072,
-0.009905174374580383,
0.05440597981214523,
-0.0258822999894619,
-0.008052987046539783,
0.05372953042387962,
-0.048640042543411255,
0.010734631679952145,
-0.04235871136188507,
0.038267794996500015,
-0.005033116787672043,
-0.04802801460027695,
-0.010726578533649445,
-0.01937548629939556,
-0.012401600368320942,
-0.00611221743747592,
0.005403554532676935,
-0.010090393014252186,
-0.013504859060049057,
-0.07144609838724136,
0.017249498516321182,
-0.004996878560632467,
-0.03213141858577728,
0.03466005623340607,
0.010662155225872993,
0.040554843842983246,
-0.004481487441807985,
-0.053922802209854126,
0.015437575988471508,
0.02456161007285118,
0.08665014058351517,
-0.04380825161933899,
0.009977650828659534,
-0.004509672988206148,
0.06899799406528473,
-0.044033732265233994,
-0.03045639768242836,
-0.009881014935672283,
-0.0663566142320633,
0.015961021184921265,
-0.0740874782204628,
0.009067663922905922,
0.08987133949995041,
0.021743064746260643,
-0.0058666011318564415,
-0.015115456655621529,
0.04599866271018982,
0.0259628314524889,
0.04084474965929985,
0.03784903883934021,
-0.02829819731414318,
-0.05885123088955879,
0.0023997901007533073,
-0.02440055087208748,
-0.06609892100095749,
0.006510840263217688,
0.0011405042605474591,
-0.011282235383987427,
-0.026139996945858,
-0.015437575988471508,
-0.052279993891716,
0.0295866746455431,
-0.09927722811698914,
0.028555892407894135,
0.05495358258485794,
0.04667511209845543,
0.04686838388442993,
-0.025495756417512894,
0.020422374829649925,
0.011580195277929306,
0.04326064512133598,
-0.05066939443349838,
0.06026855483651161,
-0.008689173497259617,
-0.016621366143226624,
0.00296551245264709,
0.02683255262672901,
-0.007308085914701223,
-0.015518106520175934,
0.036786045879125595,
-0.05881901830434799,
0.030681880190968513,
-0.024674352258443832,
0.006579290609806776,
0.08110968768596649,
0.0008244245545938611,
0.04390488564968109,
0.03649613633751869,
0.03511102497577667,
-0.033790335059165955,
0.03804231062531471,
0.023240920156240463,
0.013641760684549809,
0.007662417367100716,
0.01863461174070835,
0.01842523366212845,
-0.012095586396753788,
0.08491069823503494,
-0.015526159666478634,
0.009808538481593132,
-0.014865814708173275,
-0.09193290024995804,
0.03546535596251488,
0.007038310635834932,
0.10301381349563599,
0.05846468731760979,
0.009236776269972324,
0.00485192472115159,
-0.03926636651158333,
0.02080891840159893,
0.02525416761636734,
0.03839664161205292,
0.04177889600396156,
0.033725909888744354,
-0.0004164904239587486,
0.040490418672561646,
0.0011485572904348373,
-0.02229066751897335,
0.014616171829402447,
0.010509148240089417,
0.03636728972196579,
-0.0006351793417707086,
0.00886633899062872,
-0.018763460218906403,
-0.028781376779079437,
-0.030053747817873955,
-0.03788125142455101,
0.04016830027103424,
-0.016701895743608475,
0.005556561052799225,
0.012747878208756447,
0.009027398191392422,
-0.04068369045853615,
-0.0015481867594644427,
-0.021678641438484192,
0.012119745835661888,
0.0033621222246438265,
0.003575526177883148,
0.002528637880459428,
-0.018087008967995644,
-0.030875151976943016,
-0.04226207733154297,
-0.020969977602362633,
0.02293490804731846,
-0.033725909888744354,
-0.03243743255734444,
0.01077489648014307,
-0.05724063143134117,
-0.007964404299855232,
-0.044162582606077194,
-0.02971552312374115,
-0.03222805634140968,
0.021743064746260643,
0.03775240480899811,
0.0368504673242569,
-0.024948153644800186,
0.015590582974255085,
0.019584864377975464,
0.011201704852283001,
0.0010730605572462082,
-0.029425615444779396,
-0.036012958735227585,
-0.0007408747915178537,
0.00426405668258667,
-0.005101567134261131,
0.04306737706065178,
0.01776489056646824,
-0.013818926177918911,
0.06020413339138031,
0.03482111543416977,
0.013883349485695362,
-0.02971552312374115,
-0.0445813350379467,
-0.05856132134795189,
-0.00812546443194151,
-0.003742625704035163,
-0.007473172154277563,
0.013343799859285355,
-0.033693697303533554,
0.003867447143420577,
-0.054534830152988434,
0.059592105448246,
0.02154979296028614,
0.0445491261780262,
0.047029443085193634,
-0.021694747731089592,
0.04731935262680054,
0.06162145733833313,
0.01520403940230608,
-0.0012804250000044703,
0.018296387046575546,
0.03424130007624626,
-0.013021680526435375,
-0.06252339482307434,
-0.012755931355059147,
0.04548327252268791,
-0.07743752747774124,
0.0034366121981292963,
-0.0002429737214697525,
0.016814637929201126,
-0.012176116928458214,
0.008447583764791489,
0.03213141858577728,
0.00745706632733345,
-0.016621366143226624,
0.005967263597995043,
-0.03491775318980217,
-0.016508623957633972,
-0.008334841579198837,
-0.06413398683071136,
0.019552653655409813,
-0.000051746734243351966,
0.014310157857835293,
-0.01035614125430584,
0.01924663968384266,
0.05733726918697357,
0.04535442218184471,
-0.0259628314524889,
0.014414846897125244,
0.010887638665735722,
0.016637470573186874,
0.02749289758503437,
-0.014978555962443352,
0.06555131822824478,
0.013553177006542683,
-0.021227674558758736,
0.009132087230682373,
0.015131562948226929,
0.004610334988683462,
-0.0014002131065353751,
0.012385494075715542,
0.013231057673692703,
0.013118316419422626,
0.014543694444000721,
-0.0667431578040123,
0.0024984392803162336,
-0.042745254933834076,
0.04020051285624504,
0.04255198314785957,
-0.024078432470560074,
0.0021159222815185785,
-0.0049767461605370045,
0.023369768634438515,
-0.05434155836701393,
0.02001972682774067,
0.0517968125641346,
0.012232487089931965,
0.0011988884070888162,
0.003368161851540208,
-0.06426283717155457,
0.04003945365548134,
-0.011773467063903809,
-0.00971995573490858,
-0.11241970211267471,
0.011958685703575611,
-0.025833982974290848,
-0.025801770389080048,
-0.04377603903412819,
-0.00426405668258667,
-0.01604960300028324,
-0.06339311599731445,
-0.015405364334583282,
0.027605639770627022,
0.020245209336280823,
0.02602725476026535,
0.023466404527425766,
-0.048575617372989655,
-0.01230496447533369,
0.002736002439633012,
-0.0009094842243939638,
0.048575617372989655,
0.0007398682064376771,
-0.00668800575658679,
-0.002373618073761463,
-0.017217285931110382,
0.06178251653909683,
-0.08806746453046799,
0.03575526177883148,
0.013931667432188988,
-0.0521833561360836,
0.013512912206351757,
0.009921279735863209,
-0.041907746344804764,
-0.06168588250875473,
0.015606689266860485,
-0.05872238054871559,
-0.02154979296028614,
0.011588248424232006,
-0.022709423676133156,
-0.02810492552816868,
0.047963593155145645,
0.03388696908950806,
0.09006460756063461,
0.03267902135848999,
0.027364050969481468,
-0.053181927651166916,
-0.010267558507621288,
-0.04883331432938576,
-0.025560181587934494,
-0.06033298000693321,
0.02889411710202694,
-0.01866682432591915,
0.023498617112636566,
-0.025447439402341843,
-0.0148738669231534,
0.03430572524666786,
0.029796052724123,
-0.005786071065813303,
-0.05859353393316269,
0.02216182090342045,
0.027782805263996124,
-0.0077912649139761925,
-0.02907128445804119,
-0.059817589819431305,
0.03279176354408264,
-0.0033339366782456636,
-0.01479333732277155,
0.008375106379389763,
-0.03511102497577667,
0.012925044633448124,
-0.022145714610815048,
0.007823476567864418,
0.012079481035470963,
-0.011314447037875652,
0.007634231820702553,
0.04003945365548134,
-0.016194557771086693,
-0.03569084033370018,
-0.05852910876274109,
-0.006442389916628599,
-0.004654626362025738,
-0.0016438160091638565,
-0.04390488564968109,
-0.022483939304947853,
-0.004219765309244394,
0.029941005632281303,
-0.0007594973430968821,
-0.023498617112636566,
-0.02438444457948208,
-0.06326426565647125,
-0.02232288010418415,
-0.00022057634487282485,
0.024754881858825684,
0.03614180535078049,
0.007316138595342636,
-0.047802530229091644,
0.01220832858234644,
0.03926636651158333,
-0.03337157890200615,
0.029361190274357796,
-0.06519698351621628,
0.033854756504297256,
0.013271322473883629,
0.027637852355837822,
-0.06297435611486435,
-0.09953492134809494,
0.022870482876896858,
0.007597993593662977,
0.010992327705025673,
-0.026913082227110863,
-0.02456161007285118,
0.021388733759522438,
-0.03200257197022438,
-0.047931380569934845,
-0.058915652334690094,
0.02378852479159832,
-0.004115076269954443,
-0.022628894075751305,
-0.010074286721646786,
-0.04036157205700874,
0.03395139425992966,
-0.02602725476026535,
0.01152382418513298,
-0.050862666219472885,
0.033758122473955154,
0.046481840312480927,
-0.004872057121247053,
-0.015485893934965134,
-0.040522631257772446,
0.03145496919751167,
-0.006575264036655426,
0.014970502816140652,
0.008101304993033409,
0.03195425122976303,
-0.04393709823489189,
0.03765576705336571,
0.03333936631679535,
-0.009099875576794147,
-0.06078394874930382,
-0.00926898792386055,
0.015751643106341362,
0.010879585519433022,
-0.05492137372493744,
-0.010976221412420273,
0.03211531415581703,
0.02385294809937477,
0.05711178481578827,
0.0062410649843513966,
-0.0737653598189354,
-0.04851119592785835,
0.029409509152173996,
-0.0026192341465502977,
-0.024690458551049232,
0.0027017772663384676,
-0.015034927055239677,
0.0030339627992361784,
-0.005516296252608299,
0.09869740903377533,
0.0001561524550197646,
-0.02514142543077469,
0.03949184715747833,
-0.030810728669166565,
-0.025415226817131042,
0.026365479454398155,
0.021066613495349884,
0.007247688248753548,
-0.002136054914444685,
-0.004839845467358828,
-0.07086628675460815,
0.044871244579553604,
-0.021308204159140587,
0.005749832838773727,
-0.04107023403048515,
-0.04306737706065178,
0.031052319332957268,
-0.030021535232663155,
0.01700790971517563,
0.024851517751812935,
0.03353263810276985,
-0.02515753172338009,
-0.01921442709863186,
0.035175446420907974,
0.046320781111717224,
-0.044227004051208496,
-0.02671981044113636,
-0.032244160771369934,
0.0061162435449659824,
-0.047126080840826035,
-0.02527027390897274,
0.05295644327998161,
0.03261459618806839,
-0.00886633899062872,
-0.021968549117445946,
0.008753596805036068,
0.0038815399166196585,
-0.020357951521873474,
0.00011802658991655335,
0.031020106747746468,
-0.036077383905649185,
-0.023192603141069412,
0.01942380517721176,
-0.05620985105633736,
0.04229428991675377,
0.027653958648443222,
-0.08078756928443909,
-0.022580575197935104,
0.014084674417972565,
0.01844133995473385,
-0.04168226197361946,
-0.0012411666102707386,
0.0007665437296964228,
0.007094681728631258,
0.05656418204307556,
-0.009639425203204155,
0.02464214153587818,
0.015091298148036003,
-0.008161702193319798,
-0.009889068081974983,
-0.02671981044113636,
-0.0038110760506242514,
0.012594872154295444,
0.022628894075751305,
-0.02019689232110977,
-0.01781320758163929,
-0.020937766879796982,
0.004384851548820734,
0.009027398191392422,
-0.001902518211863935,
-0.03923415392637253,
-0.0024400551337748766,
-0.042713042348623276,
0.04071590304374695,
0.03994281589984894,
-0.010501095093786716,
-0.01718507520854473,
0.02303154394030571,
-0.008793861605226994,
0.04741598665714264,
0.045612119138240814,
0.03569084033370018,
-0.015477841719985008,
-0.03111674264073372,
-0.014833602122962475,
-0.0012784117134287953,
-0.0033580956514924765,
0.0130458390340209,
0.001731392228975892,
-0.004868030548095703,
0.015276516787707806,
-0.04177889600396156,
0.01869903691112995,
0.0030601350590586662,
-0.03627065569162369,
0.034434571862220764,
0.02151758223772049,
0.004292242228984833,
-0.062104638665914536,
-0.059688739478588104,
-0.04396931082010269,
0.000001572849100739404,
-0.0036761886440217495,
-0.05066939443349838,
0.05566224828362465,
-0.0053552365861833096,
0.0447101853787899,
-0.04361497983336449,
-0.02150147594511509,
0.03330715373158455,
-0.010621890425682068,
0.04918764531612396,
-0.04912322014570236,
-0.02530248649418354,
0.013182739727199078,
0.026236632838845253,
0.017587723210453987,
-0.006575264036655426,
-0.0033762147650122643,
0.023595253005623817,
0.06957780569791794,
0.005890760105103254,
-0.014092727564275265,
0.0295705683529377,
0.007948298007249832,
0.03314609453082085,
-0.022709423676133156,
0.010106499306857586,
0.008713332004845142,
-0.012683454900979996,
0.053987227380275726,
0.014173257164657116,
-0.07267015427350998,
0.010219240561127663,
-0.02599504217505455,
0.016403933987021446,
-0.03420909121632576,
-0.04657847806811333,
0.04957418888807297,
-0.02902296558022499,
-0.025093108415603638,
-0.024207279086112976,
-0.022870482876896858,
-0.016468359157443047,
-0.026301056146621704,
-0.01927885040640831,
0.006446416024118662,
-0.012329122982919216,
-0.013665919192135334,
0.015115456655621529,
0.06020413339138031,
0.05343962088227272,
0.02163032256066799,
-0.03807452321052551,
0.021163249388337135,
0.019504334777593613,
0.024867624044418335,
-0.01786152459681034,
0.018344704061746597,
0.022645000368356705,
0.02143705263733864,
0.019633183255791664,
0.02306375466287136,
0.006631635129451752,
0.0259145125746727,
0.014970502816140652,
0.04068369045853615,
0.008640855550765991,
-0.023418087512254715,
-0.004477460868656635,
-0.007042337208986282,
0.011266129091382027,
0.05711178481578827,
0.04039378464221954,
-0.002947393339127302,
-0.002629300346598029,
-0.0010478949407115579,
0.010887638665735722,
0.027331838384270668,
0.04690059646964073,
0.0520545095205307,
0.04174668714404106,
0.03216363117098808,
-0.050154004245996475,
-0.048704467713832855,
0.007259767968207598,
0.042680833488702774,
0.03652834892272949,
-0.012498236261308193,
0.022693317383527756,
0.00968774314969778,
0.0222745630890131,
0.00015942397294566035,
-0.017474982887506485,
-0.002218598034232855,
0.012578765861690044,
-0.002884982619434595,
-0.03923415392637253,
-0.0018864122685045004,
-0.046449631452560425,
-0.009333412162959576,
-0.04970303550362587,
0.022612787783145905,
-0.04145677760243416,
-0.029860476031899452,
0.01702401414513588,
0.005842442158609629,
-0.015453682281076908,
0.046417418867349625,
-0.052312202751636505,
-0.01001791562885046,
-0.019584864377975464,
-0.02903907187283039,
-0.058335840702056885,
-0.0369471050798893,
0.00609611114487052,
0.028668634593486786,
0.02887801267206669,
-0.0035976720973849297,
0.005669302772730589,
0.0297477338463068,
-0.037430282682180405,
-0.03926636651158333,
0.026236632838845253,
0.03245353698730469,
0.011024539358913898,
0.010589677840471268,
0.041166871786117554,
0.000051243423513369635,
-0.0014585972530767322,
-0.010863479226827621,
0.014503429643809795,
0.005890760105103254,
-0.007589940447360277,
0.033790335059165955,
0.004702944308519363,
-0.05253768712282181,
0.008818021044135094,
0.023901265114545822,
0.016814637929201126,
0.015139616094529629,
0.02085723727941513,
-0.012828408740460873,
0.01112117525190115,
0.004694891627877951,
-0.025640711188316345,
-0.008801914751529694,
0.007227555848658085,
0.02742847427725792,
0.016766319051384926,
0.020567329600453377,
0.033113881945610046,
-0.017652148380875587,
0.028378726914525032,
0.011749308556318283,
0.007509410381317139,
0.011161440052092075,
-0.01555837132036686,
0.01918221451342106,
-0.029151814058423042,
0.01034808810800314,
0.02146926335990429,
0.02882969379425049,
0.039717331528663635,
-0.03032754920423031,
0.010823214426636696,
-0.00685309199616313,
-0.041939955204725266,
0.03356485068798065,
0.0027017772663384676,
0.0036540429573506117,
0.03772019222378731,
0.020245209336280823,
0.021710854023694992,
0.047029443085193634,
0.022451728582382202,
-0.00010758287680801004,
0.0029614861123263836,
-0.04744819924235344,
-0.0004112056631129235,
-0.007489277981221676,
0.000257569772657007,
-0.045740965753793716,
0.005657223518937826,
0.020212998613715172,
0.018328599631786346,
-0.0295866746455431,
-0.01774878427386284,
-0.02604336105287075,
0.023933477699756622,
-0.009832696989178658,
-0.018811777234077454,
0.030955683439970016,
-0.004783474374562502,
0.05070160701870918,
0.02746068686246872,
0.00822210032492876,
-0.014020250178873539,
0.004880110267549753,
0.015719430521130562,
0.021050509065389633,
0.014253787696361542,
-0.0369793176651001,
-0.025511862710118294,
0.037462495267391205,
-0.023240920156240463,
0.012506289407610893,
0.050057366490364075,
0.019472122192382812,
-0.030762411653995514,
0.019021155312657356,
0.007267821114510298,
-0.037108164280653,
-0.003662095870822668,
-0.003807049710303545,
-0.04084474965929985,
0.01621871627867222,
-0.021743064746260643,
0.0031970359850674868,
0.0035835793241858482,
-0.016605259850621223,
0.0009099875460378826,
0.002691711066290736,
-0.012820355594158173,
0.003782890737056732,
-0.021131038665771484,
0.007042337208986282,
0.02296711876988411,
-0.01997140794992447,
-0.01071852631866932,
0.033049460500478745,
0.029425615444779396,
0.006446416024118662,
0.023418087512254715,
-0.013665919192135334,
-0.014068568125367165,
-0.005053249653428793,
-0.0447101853787899,
-0.0038473145104944706,
-0.044065944850444794,
-0.014245734550058842,
-0.04996073246002197,
0.022822165861725807,
0.006160535383969545,
0.02673591673374176,
-0.012933097779750824,
-0.013843084685504436,
0.027058036997914314,
0.015477841719985008,
-0.03293671831488609,
0.03050471469759941,
-0.027702275663614273,
0.012844514101743698,
0.011733202263712883,
-0.03137443959712982,
0.01847355253994465,
-0.00928509421646595,
-0.03569084033370018,
0.012852567248046398,
-0.004521752241998911,
-0.013327693566679955,
-0.026059465482831,
-0.014430953189730644,
-0.0016498557524755597,
0.023949583992362022,
0.04219765216112137,
-0.03129390627145767,
-0.021759171038866043,
0.0295705683529377,
-0.023563040420413017,
0.056757453829050064,
-0.003740612417459488,
-0.018087008967995644,
0.017265604808926582,
-0.03180930018424988,
0.003227234585210681,
-0.005987395998090506,
0.03362927585840225,
-0.022387303411960602,
0.011403029784560204,
-0.02377241849899292,
-0.002164240228012204,
0.005258600693196058,
-0.005846468731760979,
0.01034808810800314,
-0.011217811144888401,
0.030005430802702904,
-0.011000380851328373,
-0.010106499306857586,
-0.027670063078403473,
-0.0447423979640007,
0.018167538568377495,
-0.03337157890200615,
0.017362240701913834,
0.0061363764107227325,
0.006776588503271341,
-0.015944914892315865,
0.03868655115365982,
-0.034466784447431564,
-0.07537595927715302,
-0.04731935262680054,
0.01045277714729309,
-0.029328979551792145,
0.0025225982535630465,
-0.013287428766489029,
-0.008495901711285114,
0.051732391119003296,
0.021147144958376884,
-0.019890878349542618,
-0.03192204236984253,
-0.03939521312713623,
0.007477198727428913,
0.0032473669853061438,
0.002796399872750044,
-0.028571998700499535,
0.011644619517028332,
-0.0368504673242569,
0.04165004938840866,
-0.018376916646957397,
0.011902314610779285,
-0.016540834680199623,
0.041939955204725266,
-0.015308728441596031,
0.03287229314446449,
0.025705134496092796,
0.025093108415603638,
-0.034402359277009964,
0.005967263597995043,
0.0077952914871275425,
-0.029119601473212242,
-0.05505022034049034,
0.001471683382987976,
-0.023257026448845863,
-0.020663965493440628,
-0.005427713505923748,
-0.013231057673692703,
0.004417063668370247,
-0.02361135743558407,
-0.047190506011247635,
-0.01842523366212845,
0.02752511017024517,
0.008584484457969666,
-0.039781756699085236,
-0.012514341622591019,
0.0032976982183754444,
0.04735156521201134,
-0.04316401109099388,
-0.02538301609456539,
0.016621366143226624,
-0.022065185010433197,
-0.01592075638473034,
0.016508623957633972,
-0.020680071786046028,
-0.012715666554868221,
-0.03549756854772568,
0.002731975866481662,
-0.0259628314524889,
0.0006915502599440515,
-0.015816066414117813,
0.03656056150794029,
0.015397311188280582,
-0.0036198177840560675,
0.027251308783888817,
-0.03404802829027176,
-0.021082719787955284,
-0.03788125142455101,
0.002993697999045253,
0.015059085562825203,
-0.0258984062820673,
-0.006438363343477249,
-0.01604960300028324,
-0.05872238054871559,
0.031567711383104324,
-0.0040425993502140045,
0.021920230239629745,
-0.03359706327319145,
-0.007746973540633917,
-0.042841892689466476,
0.024706564843654633,
-0.060494039207696915,
0.0014122925931587815,
-0.048704467713832855,
0.006406151223927736,
0.022693317383527756,
-0.010396406054496765,
0.03129390627145767,
-0.011394976638257504,
-0.02517363801598549,
-0.035980746150016785,
0.01997140794992447,
-0.021920230239629745,
-0.04367940127849579,
0.0043083480559289455,
-0.01695959083735943,
0.001995127648115158,
0.009542789310216904,
-0.026381585747003555,
0.02828209102153778,
0.012900885194540024,
0.011692937463521957,
0.014245734550058842,
-0.01045277714729309,
-0.027251308783888817,
-0.015276516787707806,
-0.03114895336329937,
0.03514323756098747,
0.025672923773527145,
-0.02459382265806198,
0.004992851987481117,
-0.024078432470560074,
-0.03813894838094711,
0.015308728441596031,
0.01695959083735943,
0.0005994442035444081,
-0.007509410381317139,
-0.0007670470513403416,
0.07949908822774887,
0.02899075299501419,
-0.004477460868656635,
0.03949184715747833,
-0.015469788573682308,
-0.015743589028716087,
0.06816048175096512,
-0.010533306747674942,
-0.022419515997171402,
0.022000761702656746,
-0.014857761561870575,
-0.009929332882165909,
0.04177889600396156,
0.000906967674382031,
-0.01261903066188097,
0.027976077049970627,
-0.055372338742017746,
0.03920194134116173,
-0.005564614199101925,
0.033081669360399246,
-0.04683617502450943
] |
Reliability quantification of deep reinforcement learning (DRL)-based control
is a significant challenge for the practical application of artificial
intelligence (AI) in safety-critical systems. This study proposes a method for
quantifying the reliability of DRL-based control. First, an existing method,
random noise distillation, was applied to the reliability evaluation to clarify
the issues to be solved. Second, a novel method for reliability quantification
was proposed to solve these issues. The reliability is quantified using two
neural networks: reference and evaluator. They have the same structure with the
same initial parameters. The outputs of the two networks were the same before
training. During training, the evaluator network parameters were updated to
maximize the difference between the reference and evaluator networks for
trained data. Thus, the reliability of the DRL-based control for a state can be
evaluated based on the difference in output between the two networks. The
proposed method was applied to DQN-based control as an example of a simple
task, and its effectiveness was demonstrated. Finally, the proposed method was
applied to the problem of switching trained models depending on the state.
Con-sequently, the performance of the DRL-based control was improved by
switching the trained models according to their reliability. | [
0.0038303586188703775,
-0.039478544145822525,
-0.025823410600423813,
-0.027224814519286156,
0.02536197379231453,
-0.0172184556722641,
-0.02688300795853138,
0.021773014217615128,
-0.03886329382658005,
0.03011307120323181,
0.04634883627295494,
-0.008895490318536758,
0.004742552526295185,
0.00257849576883018,
0.022576257586479187,
0.022302813827991486,
0.008562229573726654,
0.045836128294467926,
0.007797439582645893,
-0.03763279318809509,
0.014953994192183018,
0.011911923997104168,
-0.026951368898153305,
0.05636373907327652,
-0.013424414210021496,
0.0196367297321558,
0.041666097939014435,
-0.009920906275510788,
-0.07054866850376129,
0.09256094694137573,
0.022695889696478844,
0.03284751623868942,
-0.037906236946582794,
0.04245225340127945,
-0.01833786815404892,
-0.024011841043829918,
0.04272569715976715,
0.03320641070604324,
-0.03310386836528778,
0.06494306027889252,
0.04125593230128288,
-0.004204208496958017,
-0.037872057408094406,
-0.008070884272456169,
-0.016927920281887054,
-0.034060925245285034,
-0.04402455687522888,
0.006511396262794733,
0.01685955934226513,
0.005174081772565842,
0.006934380624443293,
-0.02196100726723671,
0.06812185049057007,
-0.021397028118371964,
-0.037769515067338943,
-0.02397766150534153,
0.044092919677495956,
0.0004526253615040332,
0.0492200031876564,
-0.04727170988917351,
0.013022792525589466,
0.04576776549220085,
-0.0710955560207367,
0.007306094281375408,
-0.009245840832591057,
-0.058585476130247116,
0.0694207102060318,
-0.08011922240257263,
0.03941018134355545,
-0.028352772817015648,
-0.04299914091825485,
0.013817490078508854,
-0.06702807545661926,
-0.002832713769748807,
0.0340096540749073,
0.021003952249884605,
-0.03739352896809578,
0.02455873042345047,
-0.00018852713401429355,
0.04935672506690025,
0.04819458723068237,
0.05362929403781891,
-0.061661724001169205,
0.0021672609727829695,
0.0686003789305687,
-0.013740584254264832,
0.0517151840031147,
-0.04467398673295975,
0.05516741797327995,
-0.0016716428799554706,
-0.03296714648604393,
0.007045467384159565,
0.02107231318950653,
-0.00761371897533536,
0.009587646462023258,
0.000070363879785873,
-0.011578664183616638,
-0.02536197379231453,
-0.039205100387334824,
0.002349913353100419,
-0.007024104706943035,
0.019294925034046173,
0.02580632083117962,
0.023738397285342216,
0.013236421160399914,
-0.03296714648604393,
-0.07451361417770386,
0.03399256244301796,
0.019175292924046516,
0.18348123133182526,
0.034641996026039124,
-0.001207000925205648,
-0.016714291647076607,
0.007336002308875322,
-0.036573197692632675,
-0.03506925329566002,
-0.037461891770362854,
-0.03575286269187927,
-0.011783747002482414,
-0.08141808956861496,
0.01404820941388607,
0.08688697963953018,
0.041221752762794495,
0.01919238269329071,
-0.0015349206514656544,
0.02679755724966526,
0.0193632859736681,
-0.015107805840671062,
0.042554792016744614,
-0.0007770736119709909,
-0.0185258612036705,
-0.015210348181426525,
-0.03033524379134178,
-0.015466702170670033,
-0.025823410600423813,
-0.003016434144228697,
0.001637462293729186,
-0.03520597517490387,
-0.01339877862483263,
-0.01315096952021122,
0.008399872109293938,
-0.0796407014131546,
-0.0305574182420969,
0.03742770850658417,
0.0492200031876564,
0.036299750208854675,
-0.014766001142561436,
0.050347961485385895,
-0.0023435044568032026,
-0.00997217744588852,
-0.04142683371901512,
0.05284314230084419,
-0.012245184741914272,
0.06965997815132141,
0.04679318144917488,
0.021397028118371964,
-0.03418055549263954,
-0.0008828197023831308,
-0.013911486603319645,
-0.07738478481769562,
0.013142424635589123,
-0.026541203260421753,
0.00928002130240202,
0.03988870978355408,
0.05578266829252243,
0.041221752762794495,
0.024387827143073082,
-0.0007412908598780632,
-0.06808766722679138,
0.0362313911318779,
-0.027361536398530006,
-0.051065754145383835,
-0.02098686248064041,
0.027634980157017708,
0.0519886277616024,
0.043375127017498016,
0.061080656945705414,
-0.03399256244301796,
-0.007865800522267818,
0.04125593230128288,
-0.0575258769094944,
-0.013561136089265347,
-0.00020882184617221355,
0.030386514961719513,
0.0973462238907814,
0.01744063012301922,
0.040333058685064316,
0.003153156489133835,
0.009433833882212639,
0.04183700308203697,
-0.0018286597914993763,
0.047613516449928284,
0.047613516449928284,
-0.049766890704631805,
-0.0038859019987285137,
-0.024951806291937828,
-0.0680193081498146,
0.005319349002093077,
0.03431728109717369,
-0.013236421160399914,
0.00448619807139039,
-0.0003271186142228544,
0.0032685156911611557,
-0.007686352822929621,
0.005985870026051998,
-0.027669161558151245,
0.04853639006614685,
0.026695014908909798,
0.01527870912104845,
-0.0661051943898201,
0.04070904478430748,
-0.031155578792095184,
-0.05694480985403061,
-0.008459688164293766,
-0.029104745015501976,
-0.006784840486943722,
0.011689750477671623,
-0.00694292550906539,
-0.01353550050407648,
-0.028933841735124588,
-0.06053376570343971,
0.011100135743618011,
0.02478090487420559,
-0.007703443057835102,
-0.06227697432041168,
-0.01736372336745262,
0.021482480689883232,
0.011390671133995056,
-0.028301501646637917,
0.01151884812861681,
-0.043682750314474106,
0.02276425063610077,
0.030608689412474632,
0.013962757773697376,
0.013920031487941742,
0.0030014801304787397,
0.030078889802098274,
0.046007029712200165,
-0.03370203077793121,
0.00038559941458515823,
-0.01861131377518177,
-0.007976887747645378,
-0.008314420469105244,
-0.04843384772539139,
0.04604120925068855,
0.018286598846316338,
0.011168496683239937,
0.0032813334837555885,
0.04826294630765915,
-0.0257208701223135,
-0.07471869885921478,
-0.05622701719403267,
0.005588521249592304,
-0.008750222623348236,
-0.034060925245285034,
0.051510099321603775,
0.024524549022316933,
-0.006831838749349117,
0.04525505751371384,
-0.09310783445835114,
0.05653464049100876,
0.006451580207794905,
0.0073231845162808895,
0.026199396699666977,
-0.06272131949663162,
0.029412370175123215,
-0.00751545000821352,
0.02245662547647953,
0.030164342373609543,
-0.000119164636998903,
-0.03783787786960602,
-0.035137612372636795,
-0.037598613649606705,
-0.04026469588279724,
0.020337430760264397,
-0.02303769625723362,
0.03199300169944763,
-0.0076051740907132626,
-0.012262274511158466,
0.011399216018617153,
0.002819895977154374,
0.005661154631525278,
-0.012142643332481384,
-0.014150750823318958,
-0.04433218389749527,
-0.0291731059551239,
-0.01758589595556259,
0.023447861894965172,
-0.07697461545467377,
0.00020468278671614826,
0.020815959200263023,
-0.030318154022097588,
-0.0007487678085453808,
-0.027361536398530006,
0.05988433584570885,
0.012646806426346302,
-0.03653901442885399,
-0.005366347264498472,
0.030044710263609886,
0.000537275627721101,
-0.010536156594753265,
-0.01758589595556259,
0.011997375637292862,
0.04330676421523094,
0.007758986670523882,
-0.005776514299213886,
0.002255916828289628,
0.01328769139945507,
0.014569462276995182,
-0.00789570901542902,
-0.02160211279988289,
0.04275987669825554,
-0.06374673545360565,
-0.08975814282894135,
-0.014911267906427383,
-0.009920906275510788,
0.0037513161078095436,
0.02325986884534359,
-0.03575286269187927,
0.012433177791535854,
0.028335681185126305,
0.028950931504368782,
-0.09324456006288528,
0.03712008520960808,
0.026199396699666977,
-0.01205719169229269,
0.015782872214913368,
0.02925855666399002,
-0.08504122495651245,
-0.005614156369119883,
-0.016081951558589935,
-0.00932274665683508,
-0.07711133360862732,
-0.03189045935869217,
-0.000014253025256039109,
0.021721744909882545,
-0.019021479412913322,
-0.01847459189593792,
-0.033035509288311005,
-0.01543252170085907,
0.006212316453456879,
0.00745990639552474,
-0.08654516935348511,
0.0061909533105790615,
0.03252280130982399,
-0.0544838085770607,
-0.020098168402910233,
0.005930326879024506,
0.006682299077510834,
0.021670473739504814,
0.0008347532711923122,
0.009493649937212467,
0.00378549681045115,
0.013697857968509197,
0.021807195618748665,
-0.049322545528411865,
-0.004347339738160372,
0.03725680708885193,
-0.03968362510204315,
0.00952783040702343,
0.015458157286047935,
-0.052091170102357864,
-0.0862717255949974,
0.027669161558151245,
-0.046143751591444016,
0.026148125529289246,
-0.01274934783577919,
-0.0362313911318779,
0.023738397285342216,
0.00630631297826767,
0.014056754298508167,
0.10472922772169113,
0.010775420814752579,
0.04375111311674118,
-0.019465826451778412,
-0.012484448961913586,
-0.07430852949619293,
-0.021550841629505157,
-0.0777265876531601,
0.04094830900430679,
-0.0018745899433270097,
0.03626557067036629,
0.0038859019987285137,
0.005870510824024677,
-0.030677050352096558,
0.019619639962911606,
0.059645071625709534,
-0.015338525176048279,
0.03811132162809372,
0.0633365735411644,
-0.0003327263693790883,
-0.015953775495290756,
-0.027173543348908424,
-0.012851889245212078,
0.039922889322042465,
-0.0036060488782823086,
0.004184981808066368,
-0.02120903506875038,
0.04549432173371315,
-0.04942508414387703,
-0.03086504340171814,
0.00804952159523964,
-0.039341822266578674,
-0.02021779865026474,
-0.04522087797522545,
0.014441285282373428,
-0.011971740052103996,
0.03941018134355545,
0.02353331446647644,
0.015799961984157562,
0.022576257586479187,
-0.04467398673295975,
-0.013296236284077168,
-0.026148125529289246,
-0.013877306133508682,
0.004883547313511372,
-0.025925952941179276,
-0.01673138327896595,
-0.02209773100912571,
0.0046015577390789986,
0.0073317294009029865,
0.04956180974841118,
0.04146101698279381,
0.015381250530481339,
0.00015661638462916017,
0.0246100015938282,
0.005541522987186909,
-0.008019613102078438,
0.002522952388972044,
-0.02334532141685486,
0.03619721159338951,
-0.00807515624910593,
0.03199300169944763,
-0.04898073896765709,
-0.011749566532671452,
0.004148665349930525,
-0.0019290652126073837,
0.008604954928159714,
-0.004283251240849495,
0.00863059051334858,
-0.013338962569832802,
-0.025823410600423813,
-0.015945229679346085,
0.012031556107103825,
0.0016257127281278372,
-0.05004033446311951,
-0.0017207774799317122,
-0.02137993834912777,
-0.050484683364629745,
0.013791854493319988,
-0.04566522315144539,
0.040777403861284256,
-0.04887819662690163,
-0.007823075167834759,
0.013492775149643421,
0.017184274271130562,
0.008938215672969818,
-0.05609029531478882,
0.04795532301068306,
-0.016569025814533234,
0.007523995358496904,
0.04494743421673775,
-0.005588521249592304,
-0.004554559476673603,
-0.0030954766552895308,
-0.020918501541018486,
-0.01566324010491371,
-0.03735934942960739,
-0.0061824084259569645,
-0.005588521249592304,
0.005686790216714144,
-0.022576257586479187,
0.05287732183933258,
-0.04836548864841461,
-0.0005065665463916957,
0.02455873042345047,
0.0014131524367257953,
-0.047579336911439896,
-0.007541085593402386,
-0.0200468972325325,
0.03204427286982536,
0.04826294630765915,
0.014355833642184734,
-0.021687563508749008,
0.05181772634387016,
0.03301841765642166,
0.07068539410829544,
0.0054261633194983006,
-0.03265952318906784,
-0.021311577409505844,
0.013458594679832458,
-0.07307802885770798,
-0.016073407605290413,
-0.029822535812854767,
0.0024097291752696037,
-0.03042069636285305,
-0.015483792871236801,
-0.04696408659219742,
0.07547067105770111,
-0.0005428833537735045,
0.0031317935790866613,
-0.028933841735124588,
-0.01205719169229269,
0.018013153225183487,
-0.04211044684052467,
0.04419546201825142,
0.02613103576004505,
0.0005041632102802396,
-0.026062674820423126,
-0.017739709466695786,
0.03937600180506706,
0.03619721159338951,
0.0077718039974570274,
-0.028113508597016335,
0.006972833536565304,
0.009638916701078415,
0.006639573257416487,
-0.0060542309656739235,
0.047169167548418045,
0.05219371244311333,
0.01033107377588749,
0.02312314696609974,
-0.003529142588376999,
-0.007271913345903158,
-0.01731245219707489,
0.019072750583291054,
0.00461864797398448,
-0.01270662248134613,
0.020610876381397247,
0.0032001547515392303,
-0.05797022581100464,
0.04638301581144333,
0.015124896541237831,
-0.04269151762127876,
-0.038760751485824585,
-0.014791635796427727,
0.0028946660459041595,
0.016047772020101547,
-0.03636811301112175,
0.004387929104268551,
-0.012655351310968399,
0.03879493102431297,
0.00400553410872817,
0.042828239500522614,
-0.009348382242023945,
0.030352335423231125,
0.015911050140857697,
-0.0316682867705822,
0.012569899670779705,
0.003663728479295969,
0.009912361390888691,
-0.03305259719491005,
-0.00034153854358009994,
0.00791707169264555,
-0.02276425063610077,
-0.026336118578910828,
-0.017141548916697502,
-0.013920031487941742,
0.002552860416471958,
-0.0210210420191288,
0.012894615530967712,
0.009835455566644669,
-0.020559605211019516,
0.014902723021805286,
0.049049098044633865,
-0.029241466894745827,
0.0005463548586703837,
0.048399668186903,
0.017457719892263412,
0.028557855635881424,
-0.009220205247402191,
-0.01579141803085804,
0.011347944848239422,
-0.012048646807670593,
-0.0011172769591212273,
0.002809214638546109,
0.013672223314642906,
-0.018679674714803696,
-0.010852326638996601,
0.025686688721179962,
-0.025686688721179962,
-0.022029368206858635,
0.021174855530261993,
0.033257681876420975,
-0.01330478210002184,
-0.060465406626462936,
-0.009502194821834564,
0.014022573828697205,
0.01315096952021122,
-0.02231990359723568,
-0.014791635796427727,
0.0019397466676309705,
-0.031651195138692856,
0.039751987904310226,
-0.05677390471100807,
-0.022559167817234993,
0.02754952944815159,
0.007694897707551718,
0.02286679297685623,
-0.07970906049013138,
-0.009468014352023602,
0.023687126114964485,
0.004018351901322603,
0.024746723473072052,
0.007596628740429878,
0.030847953632473946,
0.02192682772874832,
0.00013845796638634056,
0.005930326879024506,
-0.03578704223036766,
-0.0032813334837555885,
0.014569462276995182,
0.047032445669174194,
-0.007455633953213692,
-0.03127520903944969,
0.012920250184834003,
-0.017654256895184517,
0.016876650974154472,
0.014945448376238346,
0.02312314696609974,
0.007011286914348602,
-0.015492337755858898,
0.025669598951935768,
-0.02348204329609871,
-0.017637167125940323,
0.01250153873115778,
-0.01682537980377674,
-0.03293296694755554,
-0.010091809555888176,
0.012390452437102795,
-0.013202239759266376,
-0.017252637073397636,
0.01180938258767128,
-0.03064286895096302,
-0.0021394891664385796,
-0.033343132585287094,
0.019756361842155457,
0.02831859141588211,
0.031206848099827766,
0.0010948459384962916,
0.021670473739504814,
0.004926272667944431,
0.021260306239128113,
0.04884401708841324,
-0.008737404830753803,
0.02079886943101883,
0.015116351656615734,
0.002869030460715294,
0.015611969865858555,
-0.009544920176267624,
0.03366784751415253,
0.02549869567155838,
0.0228155218064785,
0.04857057332992554,
-0.021106494590640068,
-0.021191945299506187,
0.05072394758462906,
-0.013638041913509369,
0.023687126114964485,
0.024353647604584694,
-0.014167840592563152,
0.017654256895184517,
-0.0025849046651273966,
0.01789352111518383,
0.04494743421673775,
0.02541324496269226,
0.06412272900342941,
0.037906236946582794,
0.011125771328806877,
0.05174936354160309,
-0.02057669498026371,
-0.04723753035068512,
-0.023413682356476784,
0.04863893240690231,
0.02483217418193817,
-0.00313606602139771,
0.02021779865026474,
0.04573358595371246,
-0.01263826061040163,
-0.01516762189567089,
-0.032950058579444885,
0.006951470859348774,
-0.0008384917746298015,
0.05595357343554497,
-0.031377751380205154,
-0.010279802605509758,
0.002721626777201891,
0.008237514644861221,
-0.022200271487236023,
0.013629497028887272,
-0.019089840352535248,
-0.0038303586188703775,
0.023071875795722008,
-0.028506584465503693,
0.01646648347377777,
0.023294050246477127,
-0.048023682087659836,
-0.022695889696478844,
0.0068190209567546844,
0.00372995319776237,
-0.05263805761933327,
0.0014548099134117365,
-0.00043553506839089096,
0.002926710294559598,
0.07779494673013687,
-0.030352335423231125,
0.008660499006509781,
0.033753301948308945,
-0.03606048598885536,
0.011390671133995056,
-0.00005507609239430167,
0.02519107051193714,
-0.018508771434426308,
0.006344765890389681,
-0.0019269288750365376,
0.0522620715200901,
0.016927920281887054,
0.0006334084318950772,
0.004176436923444271,
0.02411438338458538,
-0.021089402958750725,
0.00322151742875576,
0.0061396826058626175,
-0.029463639482855797,
-0.001165343332104385,
-0.01673138327896595,
0.01673138327896595,
0.0302839744836092,
-0.0087459497153759,
0.004368702415376902,
0.02585759200155735,
0.013236421160399914,
-0.05711571127176285,
0.0012604080839082599,
-0.00450756074860692,
-0.02040579356253147,
0.023635854944586754,
0.02043997310101986,
-0.00036877617822028697,
0.00380685948766768,
0.03865820914506912,
0.006793385837227106,
0.009459469467401505,
-0.013860216364264488,
-0.0037748152390122414,
0.013467139564454556,
-0.05041632056236267,
0.03517179191112518,
0.008019613102078438,
-0.02331114001572132,
0.06176426634192467,
-0.029361099004745483,
0.03288169577717781,
-0.0347103551030159,
-0.07635936141014099,
0.021003952249884605,
0.037461891770362854,
-0.018594224005937576,
0.012629715725779533,
0.011689750477671623,
-0.014116570353507996,
0.04884401708841324,
0.008801493793725967,
0.010561792179942131,
0.03725680708885193,
-0.05749169737100601,
-0.017278270795941353,
0.01194610446691513,
0.011228312738239765,
-0.013817490078508854,
0.0464513786137104,
0.052091170102357864,
0.0017346632666885853,
-0.04795532301068306,
0.0034522362984716892,
0.013356052339076996,
0.006605392787605524,
-0.007899980992078781,
0.002240962814539671,
0.04347766935825348,
0.007391545455902815,
-0.0032578343525528908,
-0.045152515172958374,
0.03588958457112312,
-0.034693267196416855,
0.07253114134073257,
-0.0001010062187560834,
-0.03835058584809303,
0.025789231061935425,
-0.0072377328760921955,
-0.02447327971458435,
-0.02107231318950653,
0.003462917637079954,
0.008677588775753975,
0.048775654286146164,
-0.005349257029592991,
-0.06296058744192123,
0.046143751591444016,
0.0036423655692487955,
-0.03320641070604324,
0.015646150335669518,
-0.038589850068092346,
-0.006118319928646088,
0.0178422499448061,
-0.04074322432279587,
0.009468014352023602,
0.013834580779075623,
-0.05913236364722252,
0.014706185087561607,
-0.007118101231753826,
0.022883882746100426,
-0.024951806291937828,
-0.006772022694349289,
-0.0034052380360662937,
-0.0018190465634688735,
-0.05923490598797798,
0.008664770983159542,
0.04610957205295563,
-0.00992945209145546,
-0.007844437845051289,
-0.04959598928689957,
-0.04669064283370972,
-0.042212989181280136,
-0.0017731164116412401,
-0.02813059836626053,
-0.03327477350831032,
-0.00018158421153202653,
-0.01570596545934677,
0.02182428538799286,
0.014466920867562294,
0.0036124575417488813,
0.08100792020559311,
-0.030882133170962334,
0.004148665349930525,
-0.05769678205251694,
0.013680768199265003,
0.0035334150306880474,
0.009425288997590542,
0.002834849990904331,
-0.00496472604572773,
0.03108721598982811,
0.024370737373828888,
-0.002010243944823742,
0.017961882054805756,
-0.041495196521282196,
-0.03561614081263542,
-0.004108075518161058,
-0.010920687578618526,
-0.008147790096700191,
-0.00010093945456901565,
0.0161075871437788,
0.039786167442798615,
0.02496889792382717,
0.028968023136258125,
-0.012518629431724548,
-0.008177698589861393,
0.009450923651456833,
0.039751987904310226,
0.006131137255579233,
0.008963851258158684,
-0.01225372962653637,
0.000025869074306683615,
-0.004439199808984995,
-0.016526298597455025,
0.050211239606142044,
0.0017474809428676963,
-0.02411438338458538,
-0.047442615032196045,
-0.014210566878318787,
-0.07321475446224213,
0.010689969174563885,
-0.003195882076397538,
-0.008946760557591915,
0.03537687659263611,
-0.0055116149596869946,
0.004125166218727827,
0.049766890704631805,
-0.016227219253778458,
0.02818186953663826,
-0.03882911428809166,
-0.014278927817940712,
-0.0273786261677742,
0.016483573243021965,
-0.020371612161397934,
0.03838476538658142,
-0.025977224111557007,
-0.012287910096347332,
-0.021995188668370247,
-0.0006088411901146173,
-0.029600363224744797,
-0.015022355131804943,
0.018064424395561218,
-0.0035376877058297396,
-0.030608689412474632,
0.041085030883550644,
0.004546014126390219,
0.02527652122080326,
0.015543607994914055,
0.01565469428896904,
-0.000871604192070663,
0.010818146169185638,
-0.04751097410917282,
-0.0003199086640961468,
-0.019397465512156487,
0.005844875238835812,
-0.023687126114964485,
-0.0017079596873372793,
-0.00026903836987912655,
0.0417686402797699,
-0.04880983382463455,
-0.045870307832956314,
-0.029446549713611603,
-0.002621221588924527,
-0.01985890418291092,
0.03019852191209793,
-0.0014964675065129995,
-0.01136503554880619,
-0.029907988384366035,
0.029856717213988304,
-0.02563541755080223,
-0.017859341576695442,
-0.03753025084733963,
-0.016885194927453995,
0.0001791808899724856,
-0.00716937193647027,
-0.053834378719329834,
0.013099698349833488,
0.02983962558209896,
-0.00820760615170002,
0.005071540363132954,
-0.008686133660376072,
0.012621170841157436,
0.014031118713319302,
-0.004278978332877159,
0.0004544945841189474,
0.058756377547979355,
-0.014014028012752533,
0.008139245212078094,
-0.01985890418291092,
-0.030574508011341095,
-0.025156890973448753,
0.024097293615341187,
-0.018457500264048576,
-0.024080201983451843,
0.008271695114672184,
0.014432740397751331,
0.0028412588872015476,
0.00676775025203824,
-0.005985870026051998,
-0.007340274751186371,
-0.014475465752184391,
-0.014424195513129234,
0.018132785335183144,
-0.02079886943101883,
-0.010749785229563713,
-0.004622920416295528,
0.00018999582971446216,
-0.026267757639288902,
-0.018286598846316338,
0.054278723895549774,
-0.0392734594643116,
-0.04754515364766121,
-0.03712008520960808,
-0.010117445141077042,
-0.02657538279891014,
0.04299914091825485,
-0.015893958508968353,
-0.007635082118213177,
-0.047716058790683746,
-0.017996063455939293,
-0.022644618526101112,
-0.04764769598841667,
0.03431728109717369,
0.014347288757562637,
-0.03148029372096062,
0.03457363322377205,
0.00249304436147213,
-0.03377038985490799,
-0.03479580581188202,
0.0015893959207460284,
0.002670356072485447,
-0.0129971569404006,
-0.000550627417396754,
-0.03633393347263336,
-0.010536156594753265,
-0.015603424049913883,
0.03865820914506912,
-0.017961882054805756,
-0.020781779661774635,
-0.01527870912104845,
-0.013219330459833145,
-0.03091631457209587,
0.012843344360589981,
0.005896145943552256,
-0.02992507815361023,
0.006754932459443808,
-0.018440410494804382,
-0.05838039144873619,
0.042076267302036285,
0.026096856221556664,
-0.021328667178750038,
0.03284751623868942,
-0.006041413638740778,
0.04692990332841873,
0.015723057091236115,
0.005853420589119196,
0.06008942052721977,
0.0098183648660779,
-0.02527652122080326,
0.022217361256480217,
-0.02590886317193508,
0.00557997589930892,
0.012040100991725922,
-0.003170246724039316,
-0.024490369483828545,
0.023635854944586754,
-0.0034287371672689915,
0.018884757533669472,
0.00592605397105217,
-0.03636811301112175,
0.019893083721399307,
0.02508852817118168,
0.03780369460582733,
0.0035334150306880474
] |
From the last decade, researchers in the field of machine learning (ML) and
assistive developmental robotics (ADR) have taken an interest in artificial
empathy (AE) as a possible future paradigm for human-robot interaction (HRI).
Humans learn empathy since birth, therefore, it is challenging to instill this
sense in robots and intelligent machines. Nevertheless, by training over a vast
amount of data and time, imitating empathy, to a certain extent, can be
possible for robots. Training techniques for AE, along with findings from the
field of empathetic AI research, are ever-evolving. The standard workflow for
artificial empathy consists of three stages: 1) Emotion Recognition (ER) using
the retrieved features from video or textual data, 2) analyzing the perceived
emotion or degree of empathy to choose the best course of action, and 3)
carrying out a response action. Recent studies that show AE being used with
virtual agents or robots often include Deep Learning (DL) techniques. For
instance, models like VGGFace are used to conduct ER. Semi-supervised models
like Autoencoders generate the corresponding emotional states and behavioral
responses. However, there has not been any study that presents an independent
approach for evaluating AE, or the degree to which a reaction was empathetic.
This paper aims to investigate and evaluate existing works for measuring and
evaluating empathy, as well as the datasets that have been collected and used
so far. Our goal is to highlight and facilitate the use of state-of-the-art
methods in the area of AE by comparing their performance. This will aid
researchers in the area of AE in selecting their approaches with precision. | [
-0.055319156497716904,
0.017217230051755905,
-0.03391053527593613,
-0.03837292268872261,
-0.0002100212877849117,
0.0337660051882267,
0.010604945942759514,
-0.0072988043539226055,
-0.00986422598361969,
0.02852676250040531,
0.03326014429330826,
-0.024208905175328255,
0.0028341582510620356,
-0.0011551170609891415,
-0.0014464369742199779,
-0.008206638507544994,
0.04870687425136566,
-0.017650822177529335,
0.003561328863725066,
-0.04975472018122673,
-0.02758731320500374,
-0.03280848637223244,
-0.04122740402817726,
-0.028454497456550598,
0.05307893082499504,
0.011679893359541893,
0.03989049419760704,
-0.03750573843717575,
-0.07060328871011734,
0.026683995500206947,
0.0032022600062191486,
-0.015175731852650642,
-0.01971038430929184,
-0.026358801871538162,
-0.01689203456044197,
-0.01841864176094532,
0.014669873751699924,
0.05582501366734505,
0.012700642459094524,
0.02429923787713051,
0.04538266360759735,
0.03246522694826126,
-0.06503885239362717,
-0.026412999257445335,
-0.02583487704396248,
-0.04914046451449394,
-0.056258607655763626,
-0.013459429144859314,
-0.014823438599705696,
-0.004905013367533684,
0.025744544342160225,
-0.059257619082927704,
0.0003330982872284949,
0.008129856549203396,
-0.04563559219241142,
0.030405662953853607,
0.03421766310930252,
-0.01425434835255146,
0.07316870987415314,
-0.04798422008752823,
0.005713482387363911,
0.027262117713689804,
-0.008269870653748512,
-0.008161472156643867,
0.03174257278442383,
-0.03811999410390854,
0.018590271472930908,
-0.00437657255679369,
-0.020270442590117455,
-0.010333950631320477,
-0.02104729413986206,
-0.0028319000266492367,
-0.012809040024876595,
-0.00684714550152421,
0.016738470643758774,
-0.015826120972633362,
0.025943275541067123,
0.08736885339021683,
-0.0009705016273073852,
-0.03750573843717575,
0.018355408683419228,
0.04082994535565376,
-0.014082717709243298,
-0.017578555271029472,
0.06258182972669601,
-0.027225986123085022,
0.014814404770731926,
-0.0771794393658638,
-0.02809317037463188,
-0.02016204409301281,
-0.03902330994606018,
0.01640424318611622,
-0.022492602467536926,
0.03092958778142929,
-0.013576860539615154,
0.026846593245863914,
0.027478914707899094,
-0.022402271628379822,
-0.028002839535474777,
-0.012583211064338684,
0.032772354781627655,
0.003604236291721463,
0.015618357807397842,
-0.004573044367134571,
-0.04249205067753792,
-0.03967370092868805,
-0.09141571819782257,
0.01379365660250187,
0.02256486751139164,
0.15580418705940247,
-0.03550037369132042,
0.0027957672718912363,
-0.018915465101599693,
-0.025943275541067123,
-0.010053922422230244,
0.03840905427932739,
0.021842213347554207,
-0.03466932103037834,
-0.00018997893494088203,
-0.019656186923384666,
0.01625067926943302,
0.0714704692363739,
-0.023070726543664932,
-0.03512097895145416,
-0.0119599224999547,
0.06471365690231323,
-0.06955543905496597,
0.0015616099117323756,
0.023142991587519646,
0.008581515401601791,
0.008387302048504353,
0.0034642221871763468,
0.0028048004023730755,
0.049682457000017166,
0.03024306520819664,
0.048562340438365936,
0.021643484011292458,
0.05893242731690407,
0.02410050667822361,
0.05484943091869354,
-0.05553595349192619,
-0.01360395923256874,
-0.05087483301758766,
0.024154705926775932,
-0.021336356177926064,
0.0035274543333798647,
0.02610587142407894,
0.0704948902130127,
-0.03221229836344719,
0.005695416126400232,
0.009466766379773617,
0.03112831711769104,
-0.021318290382623672,
-0.0023734665010124445,
0.018364442512392998,
-0.04017955809831619,
-0.00498631177470088,
-0.03665661811828613,
-0.028797758743166924,
0.021426688879728317,
0.06471365690231323,
-0.060847457498311996,
0.04028795659542084,
0.0720485970377922,
0.05586114525794983,
0.01730756089091301,
-0.02124602533876896,
-0.005284406710416079,
-0.040649283677339554,
0.0496101900935173,
-0.02782217599451542,
-0.039565302431583405,
-0.005424420814961195,
0.039782095700502396,
-0.0175243578851223,
0.046322114765644073,
0.01641327701508999,
-0.01730756089091301,
-0.06240116432309151,
0.024859294295310974,
-0.03533777594566345,
-0.016548775136470795,
0.013856888748705387,
0.018915465101599693,
0.04733382910490036,
-0.005239240825176239,
0.02081243321299553,
-0.04205845668911934,
0.04119127243757248,
-0.020433038473129272,
-0.0008254062267951667,
0.02959267795085907,
0.055969543755054474,
0.002962881000712514,
0.03067665733397007,
-0.029954005032777786,
-0.00789047684520483,
0.013594926334917545,
-0.0009315460338257253,
-0.02236613817512989,
-0.047261565923690796,
-0.06825466454029083,
-0.00706845847889781,
0.009548064321279526,
0.018093446269631386,
0.005234724376350641,
0.03486805036664009,
-0.025166422128677368,
-0.010026822797954082,
-0.05698126181960106,
0.0027957672718912363,
-0.006323221605271101,
-0.017650822177529335,
-0.03530164435505867,
0.02101116254925728,
-0.0019116454059258103,
0.01556415855884552,
0.002992238849401474,
0.02896035462617874,
0.029267482459545135,
-0.030369529500603676,
0.017226262018084526,
0.05087483301758766,
-0.05058577284216881,
0.0011506004957482219,
-0.05766778066754341,
0.017903750762343407,
-0.032356828451156616,
0.032356828451156616,
-0.025581948459148407,
0.009674529545009136,
0.04111900553107262,
0.03750573843717575,
-0.034958381205797195,
0.03309755027294159,
0.00000980064032773953,
0.004430771805346012,
-0.043034039437770844,
-0.04382896050810814,
0.008369235321879387,
-0.054054513573646545,
-0.06070292741060257,
-0.009028657339513302,
-0.050983231514692307,
0.046972502022981644,
-0.0050088949501514435,
-0.04104674234986305,
0.058607231825590134,
0.022275807335972786,
-0.01713593117892742,
0.009051240049302578,
0.0011172906961292028,
-0.04126353934407234,
0.01882513426244259,
0.01513056643307209,
0.023179123178124428,
0.04935726150870323,
-0.028978422284126282,
-0.01544672716408968,
0.0002756529429461807,
0.04122740402817726,
-0.004593369085341692,
0.02807510457932949,
0.01994524709880352,
-0.00974679458886385,
-0.028580961748957634,
0.05123616009950638,
0.01489570364356041,
0.0626179575920105,
-0.0300262700766325,
0.019349059090018272,
0.00011771354911616072,
0.009566131047904491,
0.016774604097008705,
-0.00246379803866148,
-0.0407576784491539,
0.007054908666759729,
0.002901907078921795,
0.055752746760845184,
0.0019985896069556475,
0.006612283177673817,
-0.06680935621261597,
0.0450936034321785,
0.024371502920985222,
-0.0433230996131897,
-0.04184165969491005,
-0.01884320005774498,
-0.03262782469391823,
-0.03685534745454788,
-0.029448146000504494,
-0.03447059169411659,
-0.03916784003376961,
-0.03728894144296646,
0.0017750186379998922,
0.031869035214185715,
-0.013522661291062832,
-0.02830996736884117,
0.006038676481693983,
0.01755145750939846,
-0.04050474986433983,
-0.0057179988361895084,
-0.02036077342927456,
0.07197632640600204,
0.04256431385874748,
-0.06294315308332443,
0.011309533379971981,
0.033187881112098694,
0.06612282991409302,
-0.019620053470134735,
-0.04205845668911934,
0.01227608323097229,
0.007303320802748203,
0.0026218786370009184,
-0.02758731320500374,
0.024660564959049225,
0.027713777497410774,
0.037144411355257034,
-0.008500216528773308,
-0.011977988295257092,
-0.004886947106570005,
0.003606494516134262,
0.006264505907893181,
-0.12111679464578629,
0.06341288238763809,
-0.027027256786823273,
-0.04820101335644722,
0.005618634168058634,
-0.05517462641000748,
0.008306003175675869,
-0.03833679109811783,
-0.04339536651968956,
0.02101116254925728,
0.031887102872133255,
0.054885562509298325,
0.03204970061779022,
-0.032284561544656754,
-0.005225691013038158,
0.019656186923384666,
0.017686953768134117,
0.004505295306444168,
-0.019674252718687057,
-0.019132262095808983,
-0.04736996442079544,
-0.012691609561443329,
0.012492879293859005,
-0.045057471841573715,
-0.019186461344361305,
0.006503885146230459,
-0.0298275388777256,
-0.07761302590370178,
0.0009919553995132446,
-0.03732507303357124,
-0.047875821590423584,
-0.014769239351153374,
0.011526329442858696,
-0.04867073893547058,
-0.003841357072815299,
-0.025274820625782013,
-0.04541879892349243,
0.03114638291299343,
0.013631058856844902,
-0.01817474514245987,
0.023739181458950043,
0.02455216646194458,
-0.06691775470972061,
-0.07732396572828293,
-0.02825576812028885,
0.01929485984146595,
0.0002364151005167514,
0.014552443288266659,
-0.029231350868940353,
0.039782095700502396,
0.07681810855865479,
-0.022456470876932144,
-0.00855893176048994,
-0.007741429843008518,
0.01160762831568718,
-0.005844463594257832,
-0.02583487704396248,
0.05239240825176239,
-0.047044768929481506,
0.0002217361907241866,
-0.04050474986433983,
0.07024195790290833,
-0.03528357669711113,
0.01731659471988678,
0.05896855890750885,
0.010912073776125908,
0.033440809696912766,
0.07746849954128265,
0.03206776827573776,
0.0214628204703331,
-0.01974651776254177,
-0.04017955809831619,
0.04137193411588669,
0.012429647147655487,
0.03284461796283722,
0.05589728057384491,
0.005790264345705509,
-0.006973610259592533,
-0.04339536651968956,
0.012258016504347324,
-0.013305865228176117,
-0.007149756886065006,
-0.017632754519581795,
-0.041335802525281906,
-0.0157990213483572,
0.02370304800570011,
0.05224787816405296,
0.026792393997311592,
-0.02101116254925728,
0.05213947966694832,
-0.0001420607732143253,
-0.05192268267273903,
0.015509959310293198,
-0.025690346956253052,
-0.00553733529523015,
0.020053645595908165,
0.012519978918135166,
-0.03542810678482056,
-0.027316316962242126,
0.020938897505402565,
0.019800717011094093,
-0.01691010221838951,
-0.04299790784716606,
0.01800311543047428,
-0.05188655108213425,
0.038445185869932175,
-0.05333185940980911,
-0.017795352265238762,
0.01969231851398945,
-0.022293873131275177,
0.05633087083697319,
-0.04245591536164284,
0.026015540584921837,
-0.017858585342764854,
0.03920397534966469,
0.0075517334043979645,
-0.004764999262988567,
-0.0023508835583925247,
-0.03271815553307533,
0.027876373380422592,
-0.00045278784818947315,
-0.020866630598902702,
-0.07259058207273483,
-0.05615020915865898,
0.011806357651948929,
-0.009177704341709614,
0.002829641569405794,
-0.04816488176584244,
-0.06897731125354767,
0.03454285487532616,
-0.0866461992263794,
-0.056908994913101196,
0.01971038430929184,
-0.020541436970233917,
0.048345547169446945,
-0.01882513426244259,
-0.0065897004678845406,
-0.06937477737665176,
-0.008030491881072521,
0.049863118678331375,
0.03797546401619911,
0.004062669817358255,
0.03522937744855881,
-0.011454064399003983,
-0.051633622497320175,
-0.029032619670033455,
-0.031905170530080795,
0.03611462935805321,
-0.010758509859442711,
-0.04491294175386429,
0.006273539271205664,
0.007280738092958927,
0.007465918082743883,
0.0372166745364666,
-0.01084884162992239,
-0.02211320959031582,
0.03696374595165253,
0.03793932870030403,
0.03949303552508354,
0.0064722690731287,
0.03571717068552971,
0.00025052943965420127,
-0.03092958778142929,
-0.06077519431710243,
0.0044059306383132935,
0.004868880845606327,
-0.05676446482539177,
-0.04758675768971443,
-0.029899805784225464,
-0.007371069863438606,
-0.007005226332694292,
-0.01972845196723938,
-0.025563882663846016,
-0.01686493493616581,
-0.029538478702306747,
0.008798311464488506,
0.08339425921440125,
-0.022022876888513565,
-0.01139986515045166,
-0.035572636872529984,
-0.021426688879728317,
0.014380812644958496,
-0.034127332270145416,
0.013712357729673386,
0.002432181965559721,
0.011309533379971981,
0.012700642459094524,
0.0005662670591846108,
0.05004378408193588,
-0.0177682526409626,
0.026900790631771088,
0.01457954291254282,
-0.003947496879845858,
0.059076957404613495,
0.004683700390160084,
0.009602263569831848,
0.029321681708097458,
0.0030916037503629923,
0.002423148835077882,
0.012845173478126526,
0.033856336027383804,
0.031182516366243362,
-0.04624984785914421,
0.04758675768971443,
0.02803897112607956,
0.03156190738081932,
0.010686244815587997,
-0.022926194593310356,
-0.041516467928886414,
0.015148632228374481,
0.00400847103446722,
-0.016783636063337326,
0.005361188668757677,
-0.039565302431583405,
0.03967370092868805,
-0.00657615065574646,
-0.0149137694388628,
-0.03611462935805321,
-0.03340467810630798,
0.03414539620280266,
0.006119975354522467,
0.019800717011094093,
-0.03707214444875717,
-0.02935781516134739,
0.06131718307733536,
-0.03092958778142929,
-0.007976292632520199,
0.0017287236405536532,
0.015455760061740875,
-0.015410594642162323,
0.007642065174877644,
-0.008712495677173138,
0.00728977145627141,
0.008012425154447556,
-0.013116167858242989,
0.012547078542411327,
-0.019385190680623055,
-0.010234585963189602,
0.0010359921725466847,
-0.03203163295984268,
-0.0110746705904603,
0.028815824538469315,
-0.004453354515135288,
0.00036669039400294423,
0.017849551513791084,
0.06388260424137115,
0.015293163247406483,
0.01992718130350113,
-0.023088792338967323,
-0.025600014254450798,
-0.008820894174277782,
-0.02894228883087635,
-0.00962936319410801,
0.061714641749858856,
0.06196757033467293,
-0.03130897879600525,
-0.008712495677173138,
-0.004412705544382334,
0.013730424456298351,
0.026846593245863914,
-0.03280848637223244,
0.05278986692428589,
0.02937588095664978,
-0.013622025959193707,
-0.025058023631572723,
-0.038264524191617966,
0.0038571651093661785,
0.02632266841828823,
-0.028201568871736526,
0.03503064811229706,
-0.004751449450850487,
-0.0035884282551705837,
0.003690051380544901,
0.011905723251402378,
0.0221493411809206,
0.026918858289718628,
0.042202986776828766,
-0.03569910302758217,
0.002091179834678769,
-0.004661117680370808,
0.05763164907693863,
0.06608670204877853,
0.00455271964892745,
0.0016519416822120547,
0.03217616677284241,
0.021751882508397102,
-0.001707269810140133,
-0.007700780406594276,
0.004688217304646969,
-0.04260044917464256,
0.032971084117889404,
0.0021939321886748075,
-0.008825411088764668,
-0.009123505093157291,
0.028797758743166924,
0.03580750152468681,
-0.018752869218587875,
-0.014995068311691284,
-0.040432486683130264,
-0.00641355337575078,
0.03546423837542534,
0.02941201440989971,
-0.02606973983347416,
0.04675570875406265,
0.03354920819401741,
-0.01050558127462864,
-0.0010721248108893633,
0.004643051419407129,
-0.0034868051297962666,
0.024010175839066505,
-0.020523371174931526,
0.002624137094244361,
0.010758509859442711,
-0.011851524002850056,
-0.009173188358545303,
0.0031616108026355505,
0.03575330227613449,
-0.03486805036664009,
0.013215533457696438,
0.011336633004248142,
-0.059076957404613495,
0.06265409290790558,
-0.02390177734196186,
0.04914046451449394,
-0.05568048357963562,
0.018807068467140198,
0.048345547169446945,
0.014642775058746338,
0.012149618938565254,
0.013558793812990189,
-0.0017332402057945728,
0.017840517684817314,
0.015889352187514305,
-0.0393846370279789,
0.035861700773239136,
0.023504318669438362,
0.030315330252051353,
0.05101936683058739,
0.018698669970035553,
0.006856178864836693,
0.018969664350152016,
-0.020487237721681595,
0.04494907334446907,
0.007718847133219242,
0.012429647147655487,
0.023197190836071968,
0.034127332270145416,
0.04538266360759735,
-0.0012691608862951398,
-0.050766438245773315,
-0.04491294175386429,
0.008012425154447556,
0.016991399228572845,
-0.00454594474285841,
0.06995289772748947,
0.029899805784225464,
0.02675626054406166,
-0.014489211142063141,
-0.031056052073836327,
-0.017244327813386917,
-0.0355365052819252,
-0.00022865220671519637,
-0.017208196222782135,
-0.02341398596763611,
-0.007384619675576687,
0.02281779609620571,
-0.034759651869535446,
-0.05661993473768234,
-0.04057701677083969,
-0.02496769279241562,
0.009701628237962723,
-0.012637410312891006,
-0.020198175683617592,
0.033422742038965225,
-0.05192268267273903,
-0.020541436970233917,
0.027352450415492058,
-0.03414539620280266,
0.0069600604474544525,
-0.029303615912795067,
-0.06352128088474274,
-0.011354699730873108,
-0.013305865228176117,
0.009647429920732975,
0.015690622851252556,
0.008748629130423069,
0.0004988005384802818,
0.012989703565835953,
0.011734092608094215,
0.025961341336369514,
0.05022444576025009,
0.0858512818813324,
0.03183290362358093,
0.010713344439864159,
0.013170367106795311,
0.004469162784516811,
-0.023811446502804756,
0.051814284175634384,
0.018698669970035553,
0.000004304871708882274,
-0.0026918856892734766,
-0.03329627960920334,
-0.02827383391559124,
0.013296831399202347,
0.016051949933171272,
0.0010066343238577247,
-0.033639539033174515,
-0.013947220519185066,
0.05398224666714668,
0.004055894911289215,
-0.03266395628452301,
0.027027256786823273,
0.015500926412642002,
-0.008653780445456505,
0.05528302490711212,
0.03725280985236168,
0.0033151747193187475,
0.010695277713239193,
0.0056547666899859905,
-0.025310952216386795,
0.024642497301101685,
-0.023811446502804756,
-0.0019229368772357702,
-0.00029047299176454544,
0.002811575308442116,
0.02057757042348385,
-0.01712689734995365,
0.009173188358545303,
0.026178138330578804,
-0.018138613551855087,
0.07848021388053894,
-0.015600291080772877,
-0.014751172624528408,
-0.015401560813188553,
0.021769948303699493,
-0.007357520051300526,
0.025816811248660088,
0.010469448752701283,
-0.013766556978225708,
0.04559946060180664,
0.0037216676864773035,
0.01305293571203947,
0.020541436970233917,
0.04321470484137535,
-0.002583487657830119,
0.04693637043237686,
0.010632045567035675,
-0.0020629509817808867,
0.016557807102799416,
0.030315330252051353,
0.07277125120162964,
-0.015374462120234966,
0.007718847133219242,
0.025310952216386795,
0.008238254114985466,
-0.047442227602005005,
0.0062148235738277435,
0.020433038473129272,
-0.004247849807143211,
-0.035391975194215775,
-0.018111513927578926,
0.0005882854457013309,
-0.013784622773528099,
-0.002189415507018566,
0.005139875691384077,
-0.028779691085219383,
-0.0074568847194314,
0.010875941254198551,
-0.009800993837416172,
-0.03181483969092369,
-0.0016621039249002934,
0.006381937302649021,
0.028888089582324028,
-0.005203108303248882,
-0.02169768325984478,
0.04104674234986305,
-0.0018224428640678525,
0.0015661264769732952,
0.03905944153666496,
-0.0029064237605780363,
0.014209182001650333,
-0.032338760793209076,
-0.047911953181028366,
0.014832471497356892,
-0.026810459792613983,
0.00962936319410801,
0.026611730456352234,
0.021535085514187813,
0.012565144337713718,
0.04249205067753792,
-0.012167684733867645,
-0.024407636374235153,
0.020993096753954887,
-0.005297956522554159,
-0.015049267560243607,
0.027876373380422592,
0.004218492191284895,
-0.02740664966404438,
0.019674252718687057,
-0.06785719841718674,
-0.034127332270145416,
0.01641327701508999,
-0.06605056673288345,
-0.0029470729641616344,
0.0372166745364666,
0.010993372648954391,
0.0389871783554554,
-0.017921816557645798,
0.06290702521800995,
0.009936491027474403,
-0.03880651295185089,
0.002429923741146922,
-0.0007012001005932689,
0.008897676132619381,
-0.0166391059756279,
-0.03616882860660553,
-0.012456746771931648,
0.03434412553906441,
-0.02498575858771801,
-0.014552443288266659,
-0.0019443907076492906,
-0.03754187002778053,
-0.03531970828771591,
-0.057956844568252563,
-0.007181372959166765,
0.021553153172135353,
0.0017648562788963318,
0.025509683415293694,
0.004094285890460014,
-0.012763874605298042,
0.03250135853886604,
-0.021318290382623672,
-0.03676501661539078,
0.03022499941289425,
0.022655200213193893,
0.023106858134269714,
0.011670860461890697,
-0.01644037663936615,
-0.04498520493507385,
0.029737208038568497,
-0.015645457431674004,
0.010379116982221603,
0.01969231851398945,
-0.03873424977064133,
-0.00702329259365797,
-0.007718847133219242,
-0.024443767964839935,
-0.009295135736465454,
0.0007373327971436083,
0.03573523461818695,
0.000810162746347487,
0.023739181458950043,
0.0036697268951684237,
0.030586326494812965,
-0.002728018444031477,
0.008527316153049469,
-0.019222592934966087,
-0.006571633741259575,
-0.01413691695779562,
0.026376867666840553,
0.015627389773726463,
0.02738858200609684,
0.041299670934677124,
-0.04870687425136566,
-0.026647862046957016,
-0.021860281005501747,
0.03569910302758217,
-0.009683562442660332,
-0.0011235009878873825,
0.006129008252173662,
0.009782927110791206,
-0.003604236291721463,
0.004530136473476887,
-0.02236613817512989,
0.007307837717235088,
-0.012935505248606205,
-0.029231350868940353,
0.012402547523379326,
0.0194935891777277,
-0.03174257278442383,
-0.017488224431872368,
0.012465779669582844,
-0.020487237721681595,
-0.040396351367235184,
-0.012149618938565254,
-0.05781231075525284,
0.027569245547056198,
-0.009191254153847694,
-0.022203540429472923,
-0.02435343712568283,
0.00008990830974653363,
0.002221031580120325,
0.007280738092958927,
-0.028562895953655243,
0.007958225905895233,
-0.009466766379773617,
0.04082994535565376,
-0.03528357669711113,
0.045924656093120575,
0.026412999257445335,
-0.027713777497410774,
-0.011390832252800465,
-0.05499396100640297,
0.02784024178981781,
-0.06431619822978973,
-0.010704310610890388,
-0.011914756149053574,
-0.0016654913779348135,
0.001843896578066051,
0.03754187002778053,
0.006318705156445503,
0.002737051574513316,
0.039565302431583405,
-0.00011107981117675081,
-0.004123643971979618,
0.026792393997311592,
-0.03743347153067589,
-0.020433038473129272,
-0.013423296622931957,
-0.02742471545934677,
0.01457954291254282,
-0.0041530015878379345,
-0.012736774981021881,
-0.014236281625926495,
0.02126409113407135,
0.024172773584723473,
0.04711703583598137,
0.016097115352749825,
-0.02718985266983509,
-0.009936491027474403,
0.021101493388414383,
0.009155121631920338,
-0.0008491183398291469,
0.014823438599705696,
-0.019583920016884804,
-0.027099521830677986,
0.021390555426478386,
0.025925207883119583,
-0.0407576784491539,
-0.0389871783554554,
-0.020252374932169914,
0.005176008678972721,
-0.04137193411588669,
-0.00645871926099062,
-0.012583211064338684,
-0.005749614909291267,
-0.03580750152468681,
-0.03378406912088394,
0.011183069087564945,
-0.0010512355947867036,
-0.024913493543863297,
-0.014696973375976086,
-0.026467198505997658,
-0.025798743590712547,
-0.02173381671309471,
0.020523371174931526,
-0.03484998270869255,
-0.015365428291261196,
-0.017596622928977013,
-0.046972502022981644,
0.007280738092958927,
-0.00942160002887249,
-0.007154273800551891,
-0.013314898125827312,
0.018120545893907547,
-0.009245453402400017,
-0.05871563032269478,
0.03615076094865799,
0.006427103187888861,
0.02037883922457695,
0.020740166306495667,
0.00025024713249877095,
-0.029430080205202103,
-0.027099521830677986,
-0.029646877199411392,
0.019114196300506592,
0.043286968022584915,
0.04382896050810814,
-0.03634949028491974,
-0.03783093020319939,
0.014425978064537048,
0.03524744510650635,
0.006422586739063263,
0.0578845776617527,
0.09163251519203186,
-0.013893021270632744,
-0.016792669892311096,
0.0056863827630877495,
0.04101061075925827,
0.02343205362558365,
-0.013658158481121063,
-0.015311229974031448,
0.034723520278930664,
0.016268745064735413,
-0.021318290382623672,
-0.013658158481121063,
0.005383771378546953,
-0.032302629202604294,
0.03575330227613449,
-0.0043856059201061726,
0.03262782469391823,
-0.05499396100640297
] |
Exploring alternative ideas by rewriting text is integral to the writing
process. State-of-the-art large language models (LLMs) can simplify writing
variation generation. However, current interfaces pose challenges for
simultaneous consideration of multiple variations: creating new versions
without overwriting text can be difficult, and pasting them sequentially can
clutter documents, increasing workload and disrupting writers' flow. To tackle
this, we present ABScribe, an interface that supports rapid, yet visually
structured, exploration of writing variations in human-AI co-writing tasks.
With ABScribe, users can swiftly produce multiple variations using LLM prompts,
which are auto-converted into reusable buttons. Variations are stored
adjacently within text segments for rapid in-place comparisons using mouse-over
interactions on a context toolbar. Our user study with 12 writers shows that
ABScribe significantly reduces task workload (d = 1.20, p < 0.001), enhances
user perceptions of the revision process (d = 2.41, p < 0.001) compared to a
popular baseline workflow, and provides insights into how writers explore
variations using LLMs. | [
-0.0040051257237792015,
-0.03555179759860039,
-0.03918365016579628,
-0.03647993877530098,
0.03147605061531067,
0.01605076901614666,
0.018209703266620636,
0.03419994190335274,
-0.030588265508413315,
0.014063338749110699,
0.04313833266496658,
0.027521368116140366,
-0.017947403714060783,
-0.045842044055461884,
-0.009513434953987598,
0.029175879433751106,
-0.0014035595813766122,
-0.012186882086098194,
0.00575043261051178,
-0.03535002842545509,
0.006204414181411266,
-0.003778135171160102,
-0.07364588975906372,
0.011773253791034222,
0.0580289289355278,
0.013639622367918491,
0.002374575473368168,
-0.0028827826026827097,
-0.02225518226623535,
-0.0008209499064832926,
0.027178360149264336,
-0.0017402624944224954,
-0.01772545650601387,
-0.0344218872487545,
-0.05278291925787926,
-0.023526331409811974,
0.0717492550611496,
0.03403852507472038,
0.031556759029626846,
0.020862972363829613,
0.0004984338884241879,
-0.026129158213734627,
-0.005826096050441265,
-0.04870717227458954,
0.0001339087903033942,
0.012590421363711357,
-0.035269320011138916,
-0.06864200532436371,
0.04196806997060776,
0.008671047165989876,
0.04790009558200836,
0.024878187105059624,
0.0499177910387516,
-0.08619596064090729,
0.02096385881304741,
0.04806151241064072,
-0.02364739403128624,
-0.006618041545152664,
0.09015063941478729,
-0.031011981889605522,
-0.0023783587384968996,
-0.009175471030175686,
0.0009829960763454437,
-0.02534225769340992,
-0.008060693740844727,
-0.024777302518486977,
-0.054881323128938675,
-0.007793349679559469,
-0.016857847571372986,
0.013801038265228271,
-0.05972379073500633,
0.00843396782875061,
-0.027561722323298454,
0.01437608152627945,
-0.007566358894109726,
0.009014055132865906,
0.039667896926403046,
0.022699076682329178,
-0.015485813841223717,
0.013387410901486874,
0.02705729939043522,
-0.010572724975645542,
-0.0024010578636080027,
-0.02088315039873123,
0.04245231673121452,
-0.036298345774412155,
-0.02606862783432007,
-0.05637441575527191,
0.08127278089523315,
-0.01519324816763401,
-0.019047047942876816,
0.016988998278975487,
0.062346797436475754,
-0.04188736155629158,
-0.06141865625977516,
0.03922400251030922,
0.005185477901250124,
-0.008070782758295536,
0.021770935505628586,
-0.015364752151072025,
0.015273956581950188,
-0.018118906766176224,
-0.02031819522380829,
-0.011591661721467972,
0.01520333718508482,
-0.02092350460588932,
-0.0019332047086209059,
-0.045236736536026,
-0.013417676091194153,
0.10120761394500732,
-0.025523850694298744,
-0.019258905202150345,
-0.05831140652298927,
0.008080870844423771,
-0.02802579291164875,
-0.02267889864742756,
-0.028631102293729782,
-0.027965262532234192,
-0.000523024529684335,
-0.022618368268013,
0.045801691710948944,
0.021367397159337997,
-0.03068915195763111,
0.025079956278204918,
-0.005256097298115492,
0.05806928128004074,
-0.0006891691591590643,
0.020055895671248436,
0.02566508948802948,
0.0031652599573135376,
0.00750582804903388,
0.027218714356422424,
-0.05145123973488808,
0.021185804158449173,
0.0185627993196249,
0.022557837888598442,
-0.01858297735452652,
-0.011107414960861206,
0.00859538372606039,
0.00013477576430886984,
-0.038376569747924805,
-0.025765974074602127,
0.016857847571372986,
0.010083434171974659,
-0.01808864250779152,
-0.04265408590435982,
-0.0005986881442368031,
0.06307316571474075,
-0.027602076530456543,
0.05718149617314339,
-0.012398740276694298,
-0.02772313915193081,
-0.038356393575668335,
0.06279069185256958,
0.0001497508492320776,
0.00575043261051178,
0.024071108549833298,
0.005437689833343029,
0.011097325943410397,
0.028469685465097427,
0.04592275246977806,
-0.013185640797019005,
0.004239683039486408,
-0.0029761011246591806,
0.004640699829906225,
-0.02132704295217991,
-0.01974315196275711,
0.02088315039873123,
-0.035329852253198624,
0.04894929751753807,
-0.009831221774220467,
0.01953129470348358,
0.0011135158129036427,
-0.006330519914627075,
0.005467955023050308,
0.0270371213555336,
0.03839674964547157,
-0.04265408590435982,
-0.03210153803229332,
0.04858611151576042,
-0.024171993136405945,
-0.0035360115580260754,
0.08094994723796844,
-0.01471908949315548,
0.06678572297096252,
0.04769832640886307,
0.07699526846408844,
0.040999576449394226,
-0.025059780105948448,
-0.009089718572795391,
-0.022820137441158295,
-0.01907731220126152,
0.016575369983911514,
-0.01974315196275711,
0.0031299504917114973,
0.013074668124318123,
-0.030588265508413315,
-0.014305462129414082,
-0.021448105573654175,
0.028207385912537575,
0.0065575107000768185,
-0.04313833266496658,
0.021347220987081528,
0.012408828362822533,
0.011732900515198708,
0.043985765427351,
-0.03490613400936127,
0.04293656349182129,
-0.02842933125793934,
-0.04903000593185425,
0.033675339072942734,
-0.006164060439914465,
-0.020187044516205788,
-0.021205982193350792,
-0.00018143498164135963,
-0.025765974074602127,
-0.03307003155350685,
0.048828236758708954,
0.011349538341164589,
0.009432727470993996,
0.018340853974223137,
0.008585294708609581,
0.022154297679662704,
-0.03654046729207039,
-0.010340690612792969,
0.0270371213555336,
-0.0018020544666796923,
0.006764324847608805,
0.030608443543314934,
0.05092663690447807,
0.014789708890020847,
0.05044239014387131,
0.0010397437727078795,
-0.013054491020739079,
0.024938717484474182,
-0.0548006147146225,
0.03535002842545509,
0.014133958145976067,
0.009806000627577305,
-0.0000731414693291299,
-0.024797480553388596,
0.009816089645028114,
0.007979986257851124,
-0.006451582070440054,
0.08054640889167786,
-0.0388406403362751,
0.023243853822350502,
0.022113945335149765,
0.010713963769376278,
-0.032545432448387146,
0.007198129314929247,
0.05403389036655426,
0.0253220796585083,
0.052217964082956314,
-0.029296940192580223,
0.022537659853696823,
0.10096549242734909,
-0.0466894768178463,
0.029155703261494637,
0.013185640797019005,
0.08442038297653198,
0.036600999534130096,
-0.025584381073713303,
0.04806151241064072,
-0.04463142901659012,
-0.03916347399353981,
0.05968343839049339,
-0.030003134161233902,
0.013720330782234669,
0.04555956646800041,
-0.041039928793907166,
-0.06791563332080841,
-0.02195252850651741,
-0.021690228953957558,
-0.024858010932803154,
0.03010401874780655,
0.027521368116140366,
0.008343171328306198,
0.04176630079746246,
-0.0331709161400795,
-0.00239223032258451,
0.04289621114730835,
0.06609971076250076,
0.04830363392829895,
-0.02840915508568287,
-0.08070782572031021,
-0.01264086365699768,
0.014668647199869156,
-0.03847745805978775,
0.04083815962076187,
-0.027924908325076103,
0.020348461344838142,
-0.010360866785049438,
0.01686793565750122,
0.04967566579580307,
-0.011692546308040619,
-0.005538574419915676,
0.03984948992729187,
0.0425330251455307,
-0.042411964386701584,
0.028550393879413605,
-0.0555269829928875,
-0.007758039981126785,
-0.026613404974341393,
-0.021387573331594467,
0.03518861159682274,
-0.01852244697511196,
0.07852871716022491,
-0.03131463751196861,
-0.017130237072706223,
0.031597115099430084,
-0.00821706559509039,
-0.026108982041478157,
-0.03105233609676361,
0.0324445478618145,
0.027803845703601837,
0.05096699297428131,
-0.010481929406523705,
-0.009528568014502525,
-0.002892871154472232,
0.012186882086098194,
-0.002623004373162985,
-0.10984335094690323,
0.03878011181950569,
-0.004885345697402954,
0.0034401710145175457,
-0.016938555985689163,
0.05246008560061455,
0.05568839982151985,
0.016232362017035484,
-0.06799634546041489,
-0.04019249603152275,
-0.03950648009777069,
-0.03246472403407097,
0.02399040199816227,
-0.051128409802913666,
-0.00862564891576767,
0.036964185535907745,
-0.02225518226623535,
-0.016020502895116806,
-0.06912625581026077,
-0.04870717227458954,
-0.024071108549833298,
-0.03276737779378891,
0.02939782664179802,
-0.011480688117444515,
-0.015102451667189598,
-0.011379803530871868,
-0.012418916448950768,
0.004070701077580452,
0.0011771993013098836,
-0.023586861789226532,
0.0011998984264209867,
0.001972297439351678,
0.012035554274916649,
-0.049877434968948364,
0.005362026393413544,
-0.01837111823260784,
-0.04903000593185425,
0.02568526566028595,
0.04402611777186394,
-0.09741434454917908,
-0.037973031401634216,
-0.008877861313521862,
-0.03972842916846275,
-0.08123242855072021,
-0.04087851569056511,
0.0043304795399308205,
0.029882073402404785,
-0.02267889864742756,
-0.014920859597623348,
0.0506441593170166,
0.014799797907471657,
0.023183323442935944,
-0.024858010932803154,
0.03815462440252304,
0.021105095744132996,
-0.008222109638154507,
0.0031349945347756147,
0.041362762451171875,
-0.006678572855889797,
-0.011430245824158192,
0.008797152899205685,
0.03424029424786568,
-0.010764406062662601,
-0.006668484304100275,
-0.02465624175965786,
0.023485977202653885,
0.04818257316946983,
0.023142969235777855,
0.014426523819565773,
-0.0243334099650383,
-0.04329974949359894,
-0.09386320412158966,
0.05544627830386162,
0.024535179138183594,
0.02094368077814579,
-0.012539978139102459,
0.07408978790044785,
0.01946067437529564,
-0.000039033740904415026,
-0.015627052634954453,
0.0006336825317703187,
0.03948630392551422,
-0.0035561886616051197,
0.0067895459942519665,
-0.0030719416681677103,
0.02564491145312786,
0.0034754807129502296,
-0.005780698265880346,
-0.021791113540530205,
0.03304985538125038,
-0.006562555208802223,
-0.013478207401931286,
0.058916714042425156,
0.02907499484717846,
0.025443142279982567,
0.0077328188344836235,
0.0023770977277308702,
-0.033251624554395676,
0.032989323139190674,
0.007712641730904579,
0.04216983914375305,
0.015949884429574013,
-0.0088526401668787,
0.02231571450829506,
-0.020519964396953583,
-0.01738244853913784,
-0.07158784568309784,
-0.009649629704654217,
0.08530817180871964,
0.02707747556269169,
0.0035234009847044945,
-0.04297691583633423,
0.01437608152627945,
0.0008083393331617117,
-0.011389891617000103,
0.005952202249318361,
0.04664912447333336,
0.022779783234000206,
-0.027965262532234192,
-0.013427765108644962,
0.004204373341053724,
-0.028792517259716988,
-0.00583114055916667,
0.015142805874347687,
-0.047859739512205124,
-0.03609657660126686,
-0.025866858661174774,
-0.05718149617314339,
-0.06355741620063782,
0.024817656725645065,
-0.09168408811092377,
-0.03107251413166523,
0.06141865625977516,
-0.06388024240732193,
0.0063860067166388035,
-0.01434581633657217,
-0.023082438856363297,
-0.08756799250841141,
-0.01892598532140255,
0.03821515664458275,
0.03070932812988758,
-0.03214189037680626,
0.000257098552538082,
-0.04225054755806923,
-0.03603604435920715,
-0.023163145408034325,
-0.007152731064707041,
0.04664912447333336,
-0.019702797755599022,
-0.02298155426979065,
-0.03315073996782303,
-0.005568840075284243,
-0.021105095744132996,
-0.009684938937425613,
-0.0008928303141146898,
-0.00615901593118906,
-0.007354500703513622,
-0.0058916714042425156,
-0.00017780943016987294,
0.012449182569980621,
-0.002522119553759694,
-0.019692709669470787,
0.03280773013830185,
0.006834944244474173,
-0.00878706481307745,
-0.018058376386761665,
0.024131640791893005,
-0.027965262532234192,
-0.03779143840074539,
0.0006119292811490595,
0.07489686459302902,
-0.0006910607917234302,
-0.03553162142634392,
-0.011480688117444515,
-0.020247576758265495,
-0.0260484516620636,
0.03381657972931862,
0.03589480742812157,
-0.011087237857282162,
0.04188736155629158,
-0.05443742871284485,
-0.017301740124821663,
0.04495425894856453,
0.006199370138347149,
-0.03589480742812157,
-0.06569617241621017,
0.02431323193013668,
-0.029781188815832138,
-0.0030315876938402653,
0.028550393879413605,
-0.04757726192474365,
-0.00799511931836605,
0.007309102453291416,
-0.0033594632986932993,
-0.0087214894592762,
-0.01879483461380005,
0.0420084223151207,
0.019369877874851227,
-0.010592902079224586,
0.029982957988977432,
-0.042371608316898346,
0.013135198503732681,
-0.01734209433197975,
0.03165764361619949,
0.037650201469659805,
-0.008212021552026272,
0.03474472090601921,
0.01522351335734129,
-0.045156028121709824,
0.019359789788722992,
-0.0204089917242527,
-0.05431636795401573,
0.013084756210446358,
-0.04317868873476982,
0.026936236768960953,
0.04047497361898422,
-0.027178360149264336,
0.02836880087852478,
-0.0037403034511953592,
0.026189690455794334,
-0.024232525378465652,
0.04394541308283806,
0.016141565516591072,
0.024071108549833298,
0.009962372481822968,
-0.0055234418250620365,
-0.04903000593185425,
-0.025120310485363007,
-0.01045166328549385,
0.023223677650094032,
0.005089637357741594,
0.024837832897901535,
0.024151816964149475,
-0.04757726192474365,
-0.03518861159682274,
-0.06383989006280899,
0.0067542362958192825,
-0.03652029111981392,
-0.01826014555990696,
0.04737549275159836,
0.022456953302025795,
-0.01738244853913784,
0.007036713417619467,
-0.044792842119932175,
0.061580073088407516,
0.029680302366614342,
-0.02538261190056801,
-0.0035587106831371784,
0.01231803186237812,
0.007758039981126785,
0.0331709161400795,
-0.01858297735452652,
-0.007561314385384321,
0.005684857722371817,
0.05597087740898132,
-0.028610924258828163,
-0.02023748680949211,
-0.03470436483621597,
-0.010133876465260983,
-0.03214189037680626,
-0.002477982547134161,
0.005513353273272514,
0.012247412465512753,
0.042089130729436874,
-0.004015214275568724,
-0.014951124787330627,
0.005261141341179609,
0.013962454162538052,
0.0040051257237792015,
0.03926435858011246,
0.016514839604496956,
-0.00988166406750679,
-0.06731032580137253,
-0.006406183820217848,
0.034946490079164505,
-0.013891834765672684,
0.004824814852327108,
-0.06113617867231369,
0.012085996568202972,
0.026774821802973747,
0.031193574890494347,
0.05782715603709221,
-0.033594634383916855,
-0.04293656349182129,
0.048505403101444244,
-0.009679894894361496,
0.026451990008354187,
0.032262954860925674,
-0.035289496183395386,
-0.029236409813165665,
0.02671429142355919,
-0.021084919571876526,
0.010310424491763115,
-0.0587552972137928,
-0.02461588755249977,
0.00047037529293447733,
-0.004118621349334717,
-0.006088396534323692,
0.016978908330202103,
0.004605390131473541,
0.017170589417219162,
-0.011884227395057678,
0.04414718225598335,
0.04656841605901718,
-0.03839674964547157,
-0.05278291925787926,
-0.013942277058959007,
0.01738244853913784,
-0.009745470248162746,
0.010360866785049438,
-0.039002057164907455,
0.026270397007465363,
0.0354105606675148,
0.024252701550722122,
-0.006592820398509502,
0.05044239014387131,
-0.0022018104791641235,
-0.009236002340912819,
-0.02497907169163227,
-0.03068915195763111,
-0.006022821646183729,
0.05403389036655426,
-0.008862728253006935,
-0.005599105264991522,
0.019904566928744316,
0.007430164143443108,
0.03411923348903656,
0.0264116358011961,
0.02572561986744404,
0.03549126535654068,
-0.019521204754710197,
0.06585758924484253,
-0.05237938091158867,
0.0007150209276005626,
0.011208299547433853,
0.01485024020075798,
0.051814425736665726,
0.006340608466416597,
0.04297691583633423,
0.014386170543730259,
0.0003603478253353387,
-0.009705116041004658,
0.06779457628726959,
0.0058462731540203094,
-0.003074463689699769,
0.036701884120702744,
0.015395018272101879,
0.050119560211896896,
-0.012146527878940105,
-0.013306702487170696,
-0.03579392284154892,
-0.009266267530620098,
-0.0021702838130295277,
-0.029801364988088608,
0.03914329409599304,
0.045801691710948944,
-0.02058049663901329,
0.014265107922255993,
-0.03337268531322479,
0.007546181790530682,
0.0031526493839919567,
0.013306702487170696,
0.0028247740119695663,
-0.00625485647469759,
0.007339368108659983,
-0.007526004686951637,
-0.04156453162431717,
-0.020519964396953583,
0.011137680150568485,
-0.020227398723363876,
-0.004817248322069645,
0.00976564735174179,
0.04959496110677719,
0.03553162142634392,
-0.0420084223151207,
-0.024151816964149475,
0.018482092767953873,
0.002140018390491605,
-0.011642104014754295,
-0.02665375918149948,
-0.04499461501836777,
-0.04499461501836777,
0.03036632016301155,
-0.0056747691705822945,
0.0036217637825757265,
-0.010174230672419071,
-0.02294120006263256,
0.022557837888598442,
0.002375836716964841,
0.057221848517656326,
0.008590339682996273,
0.02298155426979065,
0.02740030735731125,
0.03875993192195892,
0.0344218872487545,
-0.027279244735836983,
-0.05714114010334015,
0.045842044055461884,
0.013377321884036064,
0.0012339469976723194,
0.006244767922908068,
-0.08619596064090729,
-0.016787227243185043,
0.015243690460920334,
0.009558833204209805,
0.00325605645775795,
-0.012116262689232826,
-0.028550393879413605,
-0.004976141732186079,
-0.029317118227481842,
-0.02060067281126976,
0.023788630962371826,
0.021831467747688293,
0.023707924410700798,
-0.028187207877635956,
0.029942603781819344,
-0.034300826489925385,
-0.04354187101125717,
-0.0041564530692994595,
-0.015072186477482319,
-0.015959972515702248,
-0.026189690455794334,
-0.014971301890909672,
0.027138005942106247,
-0.04802115634083748,
0.014053250662982464,
-0.016101211309432983,
0.022719252854585648,
0.01150086522102356,
-0.01946067437529564,
0.03853798657655716,
-0.029639950022101402,
-0.04903000593185425,
-0.016212183982133865,
0.0009350758627988398,
0.039647720754146576,
-0.00012681532825808972,
-0.018482092767953873,
-0.01656528189778328,
0.026593228802084923,
0.027924908325076103,
0.010022902861237526,
0.0035461001098155975,
-0.020519964396953583,
0.024938717484474182,
0.007309102453291416,
0.005720167420804501,
-0.025463318452239037,
-0.002852517180144787,
0.0010756839765235782,
0.056535832583904266,
0.010855202563107014,
0.01854262314736843,
-0.03044702671468258,
0.011077148839831352,
-0.04394541308283806,
-0.03880028799176216,
0.008877861313521862,
-0.016615724191069603,
0.00566972466185689,
-0.020348461344838142,
0.019501028582453728,
-0.023526331409811974,
0.03781161829829216,
-0.03551144525408745,
-0.028187207877635956,
0.0594816692173481,
0.004554947838187218,
0.006042998284101486,
-0.0425330251455307,
0.0004933896707370877,
0.020701557397842407,
0.014567762613296509,
-0.043985765427351,
0.029276764020323753,
-0.010239805094897747,
0.003503224113956094,
-0.022356068715453148,
0.03486578166484833,
-0.012408828362822533,
-0.018593065440654755,
0.016514839604496956,
0.009563877247273922,
0.015294132754206657,
-0.05246008560061455,
-0.039042409509420395,
0.02907499484717846,
0.007677332032471895,
-0.014275196939706802,
0.03206118568778038,
0.013942277058959007,
0.017140325158834457,
0.031879592686891556,
-0.022113945335149765,
-0.031556759029626846,
0.011399980634450912,
-0.025907212868332863,
0.007258660160005093,
0.004779416602104902,
0.024797480553388596,
0.02066120319068432,
0.00623972387984395,
-0.02368774637579918,
-0.007979986257851124,
0.026593228802084923,
0.008171667344868183,
0.012731659226119518,
-0.028167031705379486,
-0.014406346715986729,
0.006850076839327812,
0.011420157738029957,
0.03486578166484833,
-0.05645512416958809,
0.028106501325964928,
-0.015778379514813423,
0.04390505701303482,
0.028812693431973457,
0.04818257316946983,
-0.058674588799476624,
0.0030517647974193096,
-0.009498301893472672,
-0.0017604394815862179,
0.01384139247238636,
-0.013669888488948345,
0.007919455878436565,
0.042411964386701584,
-0.01266103982925415,
-0.007379721850156784,
0.04854575917124748,
0.02167005091905594,
0.015758203342556953,
0.017301740124821663,
-0.031899768859148026,
0.015717849135398865,
0.018663685768842697,
0.0418066531419754,
-0.03036632016301155,
-0.026794997975230217,
-0.0246965941041708,
-0.004491894971579313,
-0.039667896926403046,
-0.00963449664413929,
0.012701394036412239,
-0.0243334099650383,
0.03607639670372009,
-0.030225081369280815,
0.033614810556173325,
0.0027465883176773787,
-0.029498711228370667,
0.022537659853696823,
-0.07634960114955902,
-0.027783669531345367,
0.03920382633805275,
-0.014971301890909672,
0.010209539905190468,
0.005170345306396484,
-0.018683861941099167,
-0.03105233609676361,
-0.0007623106357641518,
0.029599595814943314,
-0.025887034833431244,
0.019158020615577698,
0.021468281745910645,
-0.003119861939921975,
-0.027481015771627426,
-0.03070932812988758,
-0.016383688896894455,
-0.03510790318250656,
-0.024858010932803154,
0.024192171171307564,
0.0065121129155159,
-0.04289621114730835,
-0.014476966112852097,
0.0287521630525589,
0.03615710511803627,
0.005034150555729866,
-0.021125273779034615,
-0.006083352491259575,
0.017241209745407104,
-0.034946490079164505,
-0.02294120006263256,
-0.04164524003863335,
-0.003619241528213024,
0.024575533345341682,
0.0087214894592762,
-0.022194651886820793,
0.03849763423204422,
-0.005533530376851559,
-0.009236002340912819,
0.0013455507578328252,
0.022719252854585648,
-0.010582813993096352,
0.006461670156568289,
0.0405556820333004,
0.010935910046100616,
0.013972542248666286,
0.05036168545484543,
0.011803519912064075,
0.01267112884670496,
0.046729832887649536,
0.04564027488231659,
0.03315073996782303,
-0.07037722319364548,
0.007803437765687704,
0.0135185606777668,
-0.012489535845816135,
0.010552547872066498,
-0.017664926126599312,
-0.05104770138859749,
0.02564491145312786,
-0.0036570734810084105,
-0.012217147275805473,
0.03807391598820686,
-0.01879483461380005,
-0.024494824931025505,
0.006108573637902737,
-0.01761448383331299,
-0.013306702487170696,
-0.027622254565358162,
-0.0040278248488903046,
0.002419973723590374,
-0.0056949458085000515,
-0.009871575981378555,
-0.039647720754146576,
0.027138005942106247,
0.03643958270549774,
-0.007783261127769947,
0.07929544150829315,
-0.006340608466416597,
-0.019349701702594757,
0.018250057473778725,
0.003427560441195965,
0.002681013196706772,
0.006991315633058548,
-0.010360866785049438,
-0.028893401846289635,
0.0025158142670989037,
0.030204903334379196,
0.002592738950625062,
0.022840315476059914,
-0.02501942589879036,
-0.0039647719822824,
0.0037857014685869217,
0.02530190348625183,
-0.052944332361221313,
-0.008696268312633038,
0.004799593705683947,
0.025907212868332863,
-0.009523523971438408,
0.0058109634555876255,
0.003495657816529274,
0.05403389036655426,
0.02427287958562374,
-0.041443467140197754,
-0.05572875589132309,
0.021690228953957558,
-0.014325639232993126,
0.008696268312633038,
0.026512520387768745,
-0.018018022179603577,
0.04321904107928276,
0.021024389192461967,
0.004842469468712807,
-0.01264086365699768,
0.01707979291677475,
0.00994723942130804,
-0.02201305888593197,
0.0047895051538944244,
-0.0459631085395813,
0.018875543028116226,
0.011642104014754295,
0.01095608714967966,
-0.0656154602766037,
0.023909693583846092,
0.05944131314754486,
0.0015826299786567688,
-0.006592820398509502,
0.015566522255539894,
-0.008191844448447227,
-0.018361030146479607,
-0.002832340309396386,
0.10548512637615204,
-0.05233902484178543,
0.056213002651929855,
0.02695641480386257,
0.037630025297403336,
-0.04019249603152275,
0.023082438856363297,
0.01620209589600563,
0.016424043104052544,
0.012388651259243488,
-0.014436612837016582,
-0.004068179056048393,
0.013740507885813713,
-0.01182369701564312,
-0.03008384257555008,
0.025866858661174774,
-0.016282804310321808,
0.006123706232756376,
-0.018673773854970932,
0.04757726192474365,
-0.0661400631070137
] |
Motivated by humans' ability to adapt skills in the learning of new ones,
this paper presents AdaptNet, an approach for modifying the latent space of
existing policies to allow new behaviors to be quickly learned from like tasks
in comparison to learning from scratch. Building on top of a given
reinforcement learning controller, AdaptNet uses a two-tier hierarchy that
augments the original state embedding to support modest changes in a behavior
and further modifies the policy network layers to make more substantive
changes. The technique is shown to be effective for adapting existing
physics-based controllers to a wide range of new styles for locomotion, new
task targets, changes in character morphology and extensive changes in
environment. Furthermore, it exhibits significant increase in learning
efficiency, as indicated by greatly reduced training times when compared to
training from scratch or using other approaches that modify existing policies.
Code is available at https://motion-lab.github.io/AdaptNet. | [
0.007671145256608725,
0.0008338201441802084,
-0.035309504717588425,
-0.05838074907660484,
0.022697696462273598,
0.04471944272518158,
-0.03653688728809357,
0.02413853630423546,
-0.09527339786291122,
-0.015502383932471275,
0.024476511403918266,
-0.00998805370181799,
0.022946730256080627,
-0.07855252921581268,
0.04827707260847092,
-0.01027266401797533,
-0.03233888000249863,
0.03353068605065346,
-0.046711716800928116,
-0.038600314408540726,
0.03742629289627075,
-0.036999378353357315,
-0.04286947101354599,
0.01214931532740593,
0.03297925367951393,
0.01573362946510315,
0.013421168550848961,
0.02161261811852455,
-0.043830033391714096,
0.05016262084245682,
0.01439062412828207,
0.018428536131978035,
0.03184081241488457,
0.009125327691435814,
0.0014463999541476369,
0.009498879313468933,
0.05877209082245827,
0.041695453226566315,
-0.035060469061136246,
0.01626727543771267,
-0.02195059321820736,
-0.003913396038115025,
-0.031075920909643173,
-0.05994610860943794,
0.010361605323851109,
-0.02355152741074562,
0.010690686292946339,
-0.02664666809141636,
-0.0003707720316015184,
-0.032676856964826584,
0.03200090676546097,
0.00010283781739417464,
0.018090561032295227,
-0.031111497431993484,
-0.0024080725852400064,
0.024939004331827164,
0.054040439426898956,
0.01832180842757225,
0.04962897300720215,
0.01439062412828207,
-0.006968512665480375,
-0.012851947918534279,
-0.004576005041599274,
-0.0061458102427423,
0.02630869299173355,
-0.016854284331202507,
0.02495679259300232,
-0.0020045035053044558,
0.01589372381567955,
-0.014043754898011684,
-0.07143726199865341,
-0.01191806886345148,
-0.0692315325140953,
-0.03329944238066673,
0.02627311646938324,
0.001189583446830511,
0.030150936916470528,
-0.01379472017288208,
0.0283365435898304,
0.015582431107759476,
0.002288002520799637,
0.023782772943377495,
-0.019584767520427704,
-0.025668319314718246,
0.054538507014513016,
-0.008680623024702072,
0.061298009008169174,
-0.05770479887723923,
0.03251676261425018,
0.0035309502854943275,
-0.03472249209880829,
-0.00023569315089844167,
0.002917258767411113,
-0.007853473536670208,
-0.033993180841207504,
0.05090972036123276,
0.013287757523357868,
-0.019495826214551926,
-0.02865673042833805,
-0.013750249519944191,
0.009881324134767056,
0.024316418915987015,
-0.0006942942272871733,
-0.012869736179709435,
0.028550000861287117,
-0.037283990532159805,
-0.028763459995388985,
0.02248423732817173,
-0.006070210598409176,
0.09249844402074814,
0.04190891236066818,
-0.02627311646938324,
-0.034491248428821564,
0.06770174950361252,
-0.030168723315000534,
-0.022217415273189545,
-0.038066670298576355,
-0.07293146848678589,
0.06802193820476532,
-0.03721283748745918,
0.07755638659000397,
0.051052026450634,
-0.024654394015669823,
-0.032961465418338776,
-0.010486122220754623,
0.00562995346263051,
-0.03874262049794197,
0.010370498523116112,
0.027002431452274323,
0.0060390811413526535,
-0.038849346339702606,
0.007026324514299631,
0.020189564675092697,
-0.01068179216235876,
0.042513709515333176,
0.04333196580410004,
-0.00304622296243906,
-0.057669222354888916,
-0.029474986717104912,
-0.0223952978849411,
0.0006359268445521593,
-0.014773068949580193,
-0.04148199409246445,
0.01302982959896326,
0.014515141025185585,
-0.04464828968048096,
0.014275000430643559,
0.02154146507382393,
0.004976238589733839,
0.012682960368692875,
-0.04205121845006943,
0.07008536159992218,
-0.054253898561000824,
0.052190471440553665,
0.036501310765743256,
-0.0010884131770581007,
-0.051123179495334625,
0.051870282739400864,
0.008453824557363987,
0.010664003901183605,
0.08773121982812881,
0.015457913279533386,
-0.03731956705451012,
0.07784099876880646,
0.09463302791118622,
0.03141389414668083,
0.017263412475585938,
0.0020378564950078726,
-0.04180218279361725,
0.04137526825070381,
-0.027393771335482597,
-0.028354331851005554,
0.01873093470931053,
0.011099813506007195,
-0.015324502252042294,
0.0002804415125865489,
0.055285610258579254,
-0.013999284245073795,
0.0037043849006295204,
-0.023409223183989525,
-0.025170249864459038,
-0.00792907364666462,
0.024245265871286392,
0.010406075045466423,
0.031271591782569885,
0.04265601560473442,
0.02742934785783291,
0.0038177843671292067,
0.057633645832538605,
-0.022217415273189545,
-0.015760311856865883,
-0.0035398444160819054,
0.01313655823469162,
-0.012442819774150848,
-0.01239834912121296,
0.00825815461575985,
-0.021523676812648773,
-0.0015197761822491884,
0.03653688728809357,
0.04439925402402878,
-0.01390144880861044,
-0.0961272343993187,
-0.04596461355686188,
0.004538204986602068,
-0.008622812107205391,
0.012798583135008812,
-0.023587103933095932,
-0.00821813102811575,
0.03717726096510887,
-0.08865620195865631,
0.07712947577238083,
-0.04973570257425308,
-0.04660498723387718,
-0.025543801486492157,
-0.03482922166585922,
-0.017467975616455078,
0.016382897272706032,
0.03018651157617569,
-0.018588630482554436,
0.008934104815125465,
-0.02605965919792652,
0.0001942800881806761,
0.03047112375497818,
-0.006030187010765076,
-0.06741713732481003,
0.019157851114869118,
0.027162523940205574,
-0.010406075045466423,
-0.01860641874372959,
0.013696885667741299,
-0.002443648874759674,
-0.007488816510885954,
0.06343258917331696,
-0.011535624042153358,
0.0062881154008209705,
0.009819066151976585,
0.022057322785258293,
-0.018063878640532494,
0.020652057603001595,
-0.026468785479664803,
-0.013181028887629509,
0.017521340399980545,
0.008951893076300621,
-0.0035198326222598553,
0.04856168478727341,
-0.0044270288199186325,
0.006136916112154722,
0.09392149746417999,
0.02874567173421383,
-0.03548738360404968,
-0.004193559288978577,
0.0006709472509101033,
0.04550211876630783,
-0.005492095369845629,
-0.0003126825613435358,
0.004989579785615206,
0.04489732161164284,
-0.01811724342405796,
0.014524035155773163,
0.006968512665480375,
0.0330326184630394,
0.007097477093338966,
0.03385087475180626,
0.03415327146649361,
-0.032961465418338776,
0.004198006354272366,
0.04318965971469879,
0.05955477058887482,
0.01816171407699585,
-0.008187001571059227,
-0.01774369180202484,
-0.00154979364015162,
-0.026344269514083862,
0.04439925402402878,
0.033210501074790955,
-0.023480374366044998,
0.034935951232910156,
-0.02972402051091194,
0.07812561094760895,
-0.00558103621006012,
0.014506246894598007,
-0.026504362002015114,
-0.016774237155914307,
-0.004453711211681366,
-0.010610639117658138,
-0.04393676295876503,
-0.04496847465634346,
-0.030239876359701157,
-0.027571652084589005,
-0.009979159571230412,
-0.009085304103791714,
-0.015902617946267128,
0.0008527200552634895,
0.02179049886763096,
0.03973875567317009,
-0.014612975530326366,
-0.04863283783197403,
0.004375888034701347,
0.043509844690561295,
-0.02689570188522339,
0.01672087237238884,
-0.005243061110377312,
0.05094529688358307,
-0.014710810966789722,
-0.000563662382774055,
0.03134274110198021,
-0.018339596688747406,
0.06517583131790161,
-0.016374003142118454,
-0.005830070469528437,
0.043509844690561295,
0.007221993990242481,
-0.014684128575026989,
-0.017032165080308914,
-0.0200472604483366,
-0.012789689004421234,
0.038600314408540726,
0.00236804923042655,
0.002786071039736271,
-0.026735609397292137,
-0.034526824951171875,
0.03461576625704765,
-0.023480374366044998,
0.021505888551473618,
0.07656025141477585,
-0.009240950457751751,
0.010583956725895405,
0.018908817321062088,
-0.03385087475180626,
0.010770732536911964,
-0.07855252921581268,
-0.007995779626071453,
-0.04888186976313591,
-0.018304020166397095,
-0.011802446097135544,
0.025526013225317,
-0.020563116297125816,
0.033993180841207504,
-0.01762806996703148,
-0.01327886339277029,
-0.031111497431993484,
0.004958450328558683,
0.0551077276468277,
0.004004559945315123,
0.016454050317406654,
-0.0742122158408165,
-0.03742629289627075,
0.020847726613283157,
-0.058167293667793274,
0.037283990532159805,
0.0008115849341265857,
-0.006114680785685778,
0.008845164440572262,
-0.017592493444681168,
0.010575062595307827,
-0.01387476734817028,
-0.0012095951242372394,
0.012229361571371555,
-0.031182648614048958,
-0.0222352035343647,
0.032392244786024094,
-0.04674729332327843,
-0.021150125190615654,
0.023658256977796555,
-0.06976517289876938,
0.011082025244832039,
-0.008827376179397106,
-0.0247433353215456,
0.020598692819476128,
0.05411159247159958,
-0.01828623190522194,
0.01947803795337677,
0.03212542086839676,
-0.0030417758971452713,
-0.040414705872535706,
0.0021923910826444626,
0.02017177641391754,
-0.0026860125362873077,
-0.044079069048166275,
0.03628785163164139,
0.0160538163036108,
-0.03653688728809357,
-0.0002935046795755625,
0.03575420752167702,
0.02479669824242592,
0.04596461355686188,
0.023160187527537346,
-0.028105298057198524,
-0.024067385122179985,
0.03824454918503761,
0.06880461424589157,
-0.034028757363557816,
-0.011153178289532661,
0.0004427584935911,
0.042193520814180374,
0.009925794787704945,
-0.014790857210755348,
-0.05147894471883774,
-0.005407601594924927,
-0.002634871518239379,
-0.040130093693733215,
-0.06592293083667755,
0.0024503194727003574,
-0.0006098004523664713,
0.014461776241660118,
0.005078520625829697,
-0.03401096910238266,
0.001367465010844171,
0.041731029748916626,
-0.005478754173964262,
-0.006888465955853462,
0.00008949669427238405,
-0.05432504788041115,
-0.0058700935915112495,
0.02248423732817173,
0.016694189980626106,
-0.023569315671920776,
0.05656635761260986,
-0.03200090676546097,
-0.03667919337749481,
0.032143209129571915,
0.0034242214169353247,
0.03100476786494255,
0.00043497615843079984,
-0.021879440173506737,
0.024850063025951385,
0.02095445618033409,
0.012095950543880463,
-0.006261433474719524,
-0.03447346016764641,
0.01544012501835823,
-0.013768037781119347,
0.057135578244924545,
-0.03431336581707001,
-0.0018688688287511468,
-0.02392507903277874,
0.020474174991250038,
-0.025472648441791534,
-0.037034954875707626,
-0.05443177744746208,
-0.02730483002960682,
-0.053755827248096466,
-0.009792383760213852,
0.008160320110619068,
0.0026015187613666058,
0.0033486217726022005,
0.04055701196193695,
-0.02070542238652706,
-0.02248423732817173,
-0.05727788433432579,
-0.04422137141227722,
0.03241003304719925,
0.0069596185348927975,
-0.042762745171785355,
0.0094721969217062,
0.01819729059934616,
-0.009347680024802685,
-0.024601029232144356,
0.04233582690358162,
-0.018624207004904747,
0.0175391286611557,
-0.018250655382871628,
-0.004222465213388205,
-0.08026018738746643,
0.042478132992982864,
-0.030328817665576935,
-0.023124611005187035,
-0.026539938524365425,
-0.012407243251800537,
0.0013585708802565932,
0.010592850856482983,
-0.07335838675498962,
0.018517477437853813,
0.006221409887075424,
0.06457103043794632,
0.03902722895145416,
-0.0644998773932457,
-0.11391539126634598,
0.023782772943377495,
-0.028140872716903687,
0.009196479804813862,
-0.011784657835960388,
0.02965286746621132,
-0.06926710903644562,
-0.026362057775259018,
-0.0034286684822291136,
0.008983022533357143,
0.01031713467091322,
-0.038564737886190414,
-0.04699632525444031,
0.014808645471930504,
-0.024191901087760925,
-0.028692306950688362,
0.009489985182881355,
-0.030399970710277557,
-0.0306845810264349,
0.011891386471688747,
-0.029261527583003044,
0.05717115476727486,
0.008840717375278473,
-0.0176191758364439,
-0.01606271043419838,
-0.032054267823696136,
-0.008902975358068943,
0.011749081313610077,
0.01233609113842249,
-0.012425031512975693,
0.025543801486492157,
0.008200342766940594,
-0.049308788031339645,
-0.008462718687951565,
0.05247507989406586,
0.012158209457993507,
-0.02001168392598629,
-0.008991916663944721,
0.03059563972055912,
0.042015641927719116,
-0.01584925316274166,
0.060266297310590744,
0.02107897214591503,
-0.003773313947021961,
0.048775143921375275,
0.002428084146231413,
0.005238614045083523,
-0.04738766700029373,
0.060052838176488876,
0.028514424338936806,
-0.0070885829627513885,
0.005078520625829697,
0.020474174991250038,
-0.014844221994280815,
0.04286947101354599,
-0.01581367664039135,
-0.06144031509757042,
-0.050127044320106506,
-0.015093255788087845,
0.031609565019607544,
0.0164362620562315,
0.001926680444739759,
-0.03641236945986748,
-0.016338428482413292,
0.012362773530185223,
0.007399875670671463,
0.015111044049263,
-0.018873240798711777,
0.014346153475344181,
0.015493489801883698,
-0.02718031220138073,
0.029421621933579445,
-0.012851947918534279,
-0.03369078040122986,
0.004980685655027628,
0.02022514119744301,
0.015386761166155338,
-0.024227477610111237,
-0.043296389281749725,
-0.009267632849514484,
0.004678286612033844,
0.027909627184271812,
-0.023658256977796555,
0.0011884716805070639,
-0.00887184590101242,
0.001912227482534945,
-0.015804782509803772,
-0.004409241024404764,
0.0007993555627763271,
0.019584767520427704,
0.025668319314718246,
0.05265296250581741,
0.020314082503318787,
0.02520582638680935,
-0.04073489457368851,
0.016000453382730484,
0.025259191170334816,
0.06930268555879593,
0.02351595088839531,
0.014995421282947063,
0.006119127850979567,
-0.03527392819523811,
-0.02742934785783291,
-0.01803719624876976,
-0.03495373949408531,
0.03338837996125221,
0.047992464154958725,
0.0068751247599720955,
0.0270913727581501,
-0.05158567056059837,
-0.018926605582237244,
0.005941246170550585,
-0.049806855618953705,
0.010735156014561653,
0.03799551725387573,
0.02079436182975769,
0.039916638284921646,
-0.005950140301138163,
0.007279805839061737,
-0.03121822513639927,
-0.0044759465381503105,
0.015084361657500267,
-0.05934131145477295,
-0.009961371310055256,
0.04397233948111534,
0.021256854757666588,
-0.03006199561059475,
0.00351538578979671,
-0.04023682326078415,
0.06275663524866104,
0.03009757213294506,
-0.05567694827914238,
-0.01335891056805849,
-0.003675479209050536,
-0.010486122220754623,
0.004771674517542124,
-0.02878124825656414,
0.029955266043543816,
0.005745576694607735,
0.07186418026685715,
0.02545486018061638,
0.02166598290205002,
-0.04600019007921219,
0.008084720000624657,
-0.029101435095071793,
0.0321076326072216,
-0.01035271119326353,
-0.048028040677309036,
0.03216099739074707,
0.003135163802653551,
-0.02577504888176918,
-0.009054174646735191,
0.003862254787236452,
0.009996947832405567,
0.017032165080308914,
-0.005878987722098827,
-0.00595903443172574,
0.01584925316274166,
0.013083193451166153,
-0.0066216434352099895,
0.0222352035343647,
0.027785111218690872,
0.06453545391559601,
-0.06193838268518448,
-0.006216962821781635,
0.007951308973133564,
0.058238446712493896,
0.0037332905922085047,
0.016943225637078285,
0.037283990532159805,
-0.025294767692685127,
0.04607134312391281,
0.002781623974442482,
-0.028638942167162895,
0.006417079828679562,
-0.0015575760044157505,
0.04180218279361725,
-0.03331723064184189,
-0.0009783490095287561,
0.034775856882333755,
0.020829938352108,
-0.00768893351778388,
0.0068395487032830715,
0.06816423684358597,
-0.04493289813399315,
-0.0024125196505337954,
0.0031596224289387465,
0.028816822916269302,
-0.017983833327889442,
0.00651491479948163,
0.00647489121183753,
-0.020598692819476128,
0.05236835032701492,
-0.014808645471930504,
-0.042229097336530685,
-0.03406433016061783,
0.05147894471883774,
0.020972244441509247,
0.002072321018204093,
0.028710095211863518,
0.05677981674671173,
-0.0013785826740786433,
-0.057420190423727036,
-0.009650078602135181,
-0.02433420717716217,
-0.029919689521193504,
-0.017699221149086952,
-0.05759807303547859,
-0.02235972136259079,
0.02483227476477623,
0.01346563920378685,
-0.027073584496974945,
0.009792383760213852,
-0.061048973351716995,
0.0062881154008209705,
0.0400945208966732,
-0.019300157204270363,
0.02931489236652851,
0.017903786152601242,
-0.004353652708232403,
-0.016116075217723846,
0.07556411623954773,
-0.008925210684537888,
0.038813769817352295,
-0.022715484723448753,
-0.024120748043060303,
0.010735156014561653,
0.04454156011343002,
-0.010014736093580723,
0.003415327286347747,
0.01272743009030819,
-0.020242929458618164,
0.011437788605690002,
0.004195782821625471,
0.05122990906238556,
-0.008516082540154457,
0.06176050007343292,
0.012282726354897022,
0.03171629458665848,
0.008431589230895042,
-0.050127044320106506,
-0.015742523595690727,
0.05361352115869522,
-0.002875011879950762,
-0.0010022517526522279,
-0.006301456596702337,
-0.02383613772690296,
-0.05628174543380737,
0.03931184113025665,
0.05966149643063545,
0.010655109770596027,
-0.03710610792040825,
-0.008347094990313053,
0.011766869574785233,
-0.020563116297125816,
-0.02520582638680935,
0.003135163802653551,
0.04610691964626312,
0.020687634125351906,
-0.006928489543497562,
0.03657246381044388,
-0.009223162196576595,
-0.04084162041544914,
0.03328165411949158,
-0.020723210647702217,
0.05617501959204674,
0.02718031220138073,
-0.005825623404234648,
0.003659914480522275,
-0.029617290943861008,
0.014426199719309807,
-0.0022112911101430655,
-0.0036465732846409082,
0.05428947135806084,
0.0034464565105736256,
0.006136916112154722,
-0.013865873217582703,
-0.06503352522850037,
-0.0037755374796688557,
0.014355047605931759,
-0.004860615357756615,
0.03143168240785599,
0.0025214720517396927,
-0.0040579247288405895,
0.0535423718392849,
-0.02499236911535263,
0.006581620313227177,
0.017805950716137886,
-0.013812508434057236,
-0.042229097336530685,
-0.01618722826242447,
0.023320281878113747,
-0.02026071771979332,
-0.022964518517255783,
-0.015173302963376045,
0.02050975151360035,
0.0034798092674463987,
0.006964065600186586,
0.0008827375713735819,
0.006879571825265884,
0.01368799153715372,
-0.03870704397559166,
0.0035042681265622377,
-0.01125990692526102,
-0.004936215002089739,
0.001192918629385531,
0.017921574413776398,
-0.027536075562238693,
-0.009596713818609715,
-0.006141363177448511,
0.0031396106351166964,
-0.008369330316781998,
0.007568863220512867,
0.04713863134384155,
0.014257212169468403,
0.0231779757887125,
0.038813769817352295,
0.030239876359701157,
-0.014568505808711052,
-0.007181970868259668,
0.033619627356529236,
0.009312103502452374,
-0.003806666936725378,
0.021221278235316277,
0.003773313947021961,
-0.02132800780236721,
0.00917869247496128,
0.010628427378833294,
0.00037521906779147685,
-0.02718031220138073,
0.023996232077479362,
-0.02429863065481186,
0.0166764035820961,
-0.0432252362370491,
-0.014977633021771908,
-0.017903786152601242,
-0.004816145170480013,
0.024405360221862793,
-0.004402570426464081,
0.008685070089995861,
-0.0006737266667187214,
-0.01013035885989666,
-0.04368772730231285,
-0.023160187527537346,
-0.02605965919792652,
0.034686919301748276,
0.010157041251659393,
-0.055321186780929565,
-0.05019819736480713,
0.00021220721828285605,
-0.012256043963134289,
0.041944488883018494,
-0.006488232407718897,
0.0033063748851418495,
0.03867146745324135,
0.0029150352347642183,
-0.012318302877247334,
-0.02677118591964245,
-0.013056511990725994,
0.025917353108525276,
0.003702161367982626,
-0.0023658256977796555,
0.030293241143226624,
-0.012362773530185223,
0.0059545873664319515,
0.023249128833413124,
-0.038564737886190414,
-0.015875935554504395,
-0.008925210684537888,
0.002094556111842394,
0.04468386620283127,
0.007680039387196302,
0.015831464901566505,
0.02828317880630493,
0.02079436182975769,
0.018304020166397095,
0.0002219351299572736,
-0.0010800750460475683,
0.026949066668748856,
0.02767838165163994,
0.04596461355686188,
-0.00018024412565864623,
-0.05126548558473587,
0.022181838750839233,
0.03056006319820881,
0.03415327146649361,
0.03520277515053749,
0.007942414842545986,
-0.009890218265354633,
0.004487064201384783,
-0.017112212255597115,
-0.014524035155773163,
-0.04055701196193695,
0.019460249692201614,
0.028674518689513206,
-0.013207711279392242,
0.01064621564000845,
0.0211323369294405,
0.012558442540466785,
0.027607228606939316,
-0.05649520456790924,
0.04215794429183006,
-0.0007554410258308053,
-0.041659876704216,
-0.02392507903277874,
0.021630406379699707,
0.0009299874072894454,
0.03824454918503761,
0.00534089608117938,
0.021523676812648773,
0.00792462658137083,
-0.007986885495483875,
-0.07061900943517685,
0.017432399094104767,
0.022164050489664078,
-0.03509604558348656,
-0.02630869299173355,
0.031022556126117706,
0.0038511373568326235,
-0.021594829857349396,
0.007960203103721142,
0.003553185611963272,
0.031609565019607544,
-0.005069626495242119,
-0.010664003901183605,
0.017725903540849686,
-0.019157851114869118,
-0.012985358946025372,
0.007199759129434824,
0.029225951060652733,
0.015244456008076668,
0.06691906601190567,
0.021594829857349396,
-0.013856979086995125,
-0.02075878530740738,
-0.010752944275736809,
-0.0223952978849411,
0.040379129350185394,
0.037283990532159805,
-0.033246077597141266,
-0.07058343291282654,
0.0018922158051282167,
-0.034491248428821564,
0.03401096910238266,
0.011677929200232029,
-0.0010200400138273835,
0.027980780228972435,
-0.024689970538020134,
0.043296389281749725,
0.01482643373310566,
0.004651604685932398,
0.01709442399442196,
0.002151255961507559,
-0.041731029748916626,
0.007279805839061737,
0.0014853115426376462,
0.0010711809154599905,
-0.025543801486492157,
0.04610691964626312,
-0.03125380352139473,
-0.026664456352591515,
-0.012638489715754986,
0.05026934668421745,
-0.04731651395559311,
-0.018766511231660843,
0.008493848145008087,
0.036999378353357315,
0.038280125707387924,
-0.03863589093089104,
0.01812613755464554,
0.04098392650485039,
-0.03442009538412094,
0.014942056499421597,
-0.028443273156881332,
-0.04130411520600319,
0.039133958518505096,
-0.020456386730074883,
-0.028016356751322746,
0.03627006337046623,
-0.01658746227622032,
-0.03731956705451012,
-0.028265390545129776,
0.060515329241752625,
0.03587872534990311,
0.05457408353686333,
-0.004280276596546173,
-0.0058745406568050385,
-0.03956087306141853,
0.0476011224091053,
-0.032054267823696136,
-0.03413548320531845,
-0.0447905957698822,
0.018802087754011154,
-0.0060879988595843315,
0.011500047519803047,
0.030809098854660988,
0.04664056375622749,
0.016934331506490707,
0.009049727581441402,
-0.01963813230395317,
0.014186060056090355,
-0.01668529585003853,
-0.013785826042294502,
0.051123179495334625,
-0.044292524456977844,
0.07314492762088776,
-0.028069721534848213,
0.04112623259425163,
-0.018837664276361465,
-0.005229719914495945,
0.0008932992932386696,
-0.05080299451947212,
0.03100476786494255,
-0.008458271622657776,
-0.02314239926636219,
0.042478132992982864,
-0.0025992952287197113,
-0.04607134312391281,
0.012158209457993507,
-0.03388645127415657,
-0.030257664620876312,
0.017779268324375153,
0.007230888120830059,
-0.03731956705451012,
0.0047850157134234905,
0.01270074862986803,
0.06830654293298721,
0.025152461603283882,
0.022840000689029694,
0.07905059307813644,
-0.022555390372872353,
-0.05994610860943794,
-0.022555390372872353,
-0.0038800430484116077,
0.003177410690113902,
0.026450999081134796,
-0.022288568317890167,
-0.03589651361107826,
0.05133663862943649,
0.013865873217582703,
0.014355047605931759,
-0.028140872716903687,
-0.013919237069785595,
-0.0031863045878708363,
-0.05884324386715889,
0.08175439387559891,
-0.04870399087667465
] |
The agility of animals, particularly in complex activities such as running,
turning, jumping, and backflipping, stands as an exemplar for robotic system
design. Transferring this suite of behaviors to legged robotic systems
introduces essential inquiries: How can a robot be trained to learn multiple
locomotion behaviors simultaneously? How can the robot execute these tasks with
a smooth transition? And what strategies allow for the integrated application
of these skills? This paper introduces the Versatile Instructable Motion prior
(VIM) - a Reinforcement Learning framework designed to incorporate a range of
agile locomotion tasks suitable for advanced robotic applications. Our
framework enables legged robots to learn diverse agile low-level skills by
imitating animal motions and manually designed motions with Functionality
reward and Stylization reward. While the Functionality reward guides the
robot's ability to adopt varied skills, the Stylization reward ensures
performance alignment with reference motions. Our evaluations of the VIM
framework span both simulation environments and real-world deployment. To our
understanding, this is the first work that allows a robot to concurrently learn
diverse agile locomotion tasks using a singular controller. Further details and
supportive media can be found at our project site:
https://rchalyang.github.io/VIM . | [
0.007361746858805418,
0.028139496222138405,
-0.02832898683845997,
-0.02486129105091095,
-0.007655458990484476,
0.04456841200590134,
-0.027950003743171692,
0.02019979991018772,
-0.11680259555578232,
0.03249780088663101,
0.021715732291340828,
-0.018541747704148293,
0.044265225529670715,
-0.05514204129576683,
-0.011549510061740875,
0.0825425237417221,
-0.02175362966954708,
-0.006859594024717808,
-0.0277036651968956,
0.0075654503889381886,
0.013340204954147339,
0.021999970078468323,
-0.028707969933748245,
0.006992238108068705,
0.021943122148513794,
-0.01201376412063837,
-0.007650721352547407,
-0.016258375719189644,
-0.06454082578420639,
0.06454082578420639,
0.022814782336354256,
0.02501288428902626,
-0.0023733817506581545,
0.0795864537358284,
-0.0030910810455679893,
-0.016533138230443,
0.056620076298713684,
0.053777702152729034,
-0.045250583440065384,
0.04335566610097885,
-0.034544311463832855,
0.016703680157661438,
-0.023913834244012833,
-0.0851953998208046,
-0.015443561598658562,
0.023856986314058304,
-0.01265803538262844,
0.011852696537971497,
0.0022561338264495134,
0.043848346918821335,
0.04081648215651512,
-0.02734363079071045,
0.047524482011795044,
-0.02160203643143177,
-0.02491813898086548,
0.034032683819532394,
0.06382075697183609,
0.00074908381793648,
0.013169663026928902,
-0.018162764608860016,
-0.014789815992116928,
-0.009422467090189457,
-0.026623563840985298,
-0.04392414167523384,
0.008091289550065994,
-0.0952005535364151,
0.07340902835130692,
-0.008839781396090984,
-0.0071106706745922565,
0.013700239360332489,
-0.04039959982037544,
0.00737595884129405,
-0.058628685772418976,
-0.06264590471982956,
-0.003673767438158393,
0.008882416412234306,
0.014155019074678421,
0.012392747215926647,
0.011066306382417679,
0.00485572125762701,
0.00984408613294363,
0.010242018848657608,
-0.007219627965241671,
-0.0072385771200060844,
0.1037655770778656,
-0.00008349471318069845,
0.02940908819437027,
-0.05957614257931709,
0.02671830914914608,
-0.03136085346341133,
-0.06635994464159012,
0.03549176827073097,
0.027097292244434357,
-0.0024515469558537006,
-0.01519722305238247,
-0.002416017232462764,
-0.01799222268164158,
-0.024823393672704697,
-0.01488456130027771,
-0.03575705736875534,
0.006494822911918163,
-0.01983976550400257,
0.008740297518670559,
-0.056051600724458694,
0.01398447621613741,
-0.04301458224654198,
-0.05241336300969124,
0.010924188420176506,
-0.06594306230545044,
0.07280265539884567,
0.005708433222025633,
-0.057340145111083984,
-0.011634781025350094,
0.03105766512453556,
-0.033312615007162094,
0.006546933203935623,
-0.028196342289447784,
-0.1278689056634903,
0.03189142793416977,
-0.072385773062706,
0.02683200314640999,
0.05283024534583092,
0.00687380600720644,
-0.03577600419521332,
-0.06738319993019104,
0.017433222383260727,
-0.018465951085090637,
-0.004332250449806452,
0.03922475129365921,
0.018361732363700867,
-0.008460798300802708,
-0.01668473146855831,
-0.0073380605317652225,
0.020446138456463814,
0.0632522776722908,
-0.02118515595793724,
0.0021483604796230793,
-0.03628763183951378,
-0.001714898506179452,
-0.01201376412063837,
-0.00445778900757432,
-0.047979261726140976,
-0.05495255067944527,
0.05730224400758743,
0.024046478793025017,
0.016372069716453552,
-0.014410832896828651,
0.04282509163022041,
-0.010403086431324482,
-0.012184306979179382,
-0.05229966714978218,
0.0010812862310558558,
0.015471985563635826,
0.054497770965099335,
0.06230482459068298,
-0.01566147617995739,
-0.0071106706745922565,
0.026111936196684837,
0.04934360086917877,
-0.05021526291966438,
0.09959676116704941,
0.004661492072045803,
-0.039300549775362015,
0.09770184755325317,
0.07143831253051758,
0.013671815395355225,
0.02232210524380207,
0.030564988031983376,
-0.03689400479197502,
0.03317997232079506,
-0.04146075248718262,
-0.054800957441329956,
-0.011293696239590645,
-0.01351074781268835,
-0.0008811356965452433,
0.014297137968242168,
0.046122245490550995,
0.034487463533878326,
-0.023174816742539406,
-0.03899736329913139,
-0.05510414391756058,
0.008294993080198765,
0.028253190219402313,
0.07981384545564651,
0.04381044581532478,
0.06935390830039978,
0.07503865659236908,
0.005447882227599621,
0.013264408335089684,
-0.03471485152840614,
0.026604613289237022,
-0.028310038149356842,
0.037708818912506104,
0.02139359712600708,
-0.0023544325958937407,
-0.04021010920405388,
-0.020180851221084595,
0.02082512155175209,
-0.010734696872532368,
0.0696570947766304,
-0.005590000655502081,
-0.050101567059755325,
-0.008138662204146385,
0.015737272799015045,
-0.023269562050700188,
-0.01767008751630783,
-0.020218748599290848,
-0.039035260677337646,
0.026642512530088425,
-0.08739350736141205,
0.014837188646197319,
-0.013340204954147339,
-0.058325499296188354,
-0.015329866670072079,
-0.04479580372571945,
-0.04434102401137352,
0.019782917574048042,
-0.0497225821018219,
0.006613255012780428,
-0.014477154240012169,
-0.03096291981637478,
-0.017527969554066658,
-0.011776899918913841,
-0.024974986910820007,
-0.013586544431746006,
0.018210139125585556,
0.03740563243627548,
-0.005708433222025633,
-0.011890594847500324,
0.04885092377662659,
-0.03719719126820564,
-0.030621835961937904,
0.05457356572151184,
-0.008484484627842903,
-0.016514189541339874,
0.024823393672704697,
-0.02061668038368225,
-0.01157793402671814,
0.03166403993964195,
0.0073854331858456135,
0.0006478242576122284,
0.025827698409557343,
-0.005215755198150873,
-0.017300579696893692,
0.05836339667439461,
0.0320240743458271,
-0.011701103299856186,
0.06761058419942856,
-0.006452187430113554,
-0.030981868505477905,
0.015566730871796608,
0.00415933970361948,
-0.009427204728126526,
0.006352704484015703,
-0.032384105026721954,
0.061736349016427994,
0.028670072555541992,
-0.005760543048381805,
-0.02279583364725113,
-0.014467679895460606,
0.02088196948170662,
0.050973229110240936,
0.03683715686202049,
0.0024420723784714937,
-0.015680426731705666,
0.004763343837112188,
0.040437497198581696,
0.0095882723107934,
0.0018049069913104177,
-0.033047325909137726,
-0.018428053706884384,
0.015841493383049965,
-0.04119546338915825,
0.0316261388361454,
0.029333291575312614,
-0.041839733719825745,
0.03281993791460991,
0.01711108721792698,
0.05461146682500839,
-0.016296273097395897,
0.002633932512253523,
-0.034695904701948166,
0.04346936196088791,
0.005476305726915598,
0.015263544395565987,
-0.024008579552173615,
-0.00504994997754693,
-0.0018522798782214522,
-0.02666146121919155,
0.023440105840563774,
-0.008228670805692673,
0.0454779714345932,
-0.0009273242903873324,
-0.034241124987602234,
0.055634718388319016,
-0.018229087814688683,
-0.04422732815146446,
0.0018700447399169207,
-0.033047325909137726,
-0.028291089460253716,
-0.003306627506390214,
0.04487159848213196,
0.03810675069689751,
-0.01359601877629757,
-0.021166207268834114,
-0.010763119906187057,
-0.03264939412474632,
0.04111966863274574,
0.008868204429745674,
-0.007300162222236395,
0.005173119250684977,
0.03463905677199364,
-0.031038716435432434,
-0.029371190816164017,
-0.012515917420387268,
0.03200512379407883,
0.06401024758815765,
0.02279583364725113,
-0.032573599368333817,
0.015926765277981758,
0.006504297722131014,
0.033312615007162094,
-0.04096807539463043,
0.04282509163022041,
0.03177773207426071,
0.0053720856085419655,
0.041005972772836685,
-0.018844934180378914,
-0.030204953625798225,
-0.024880241602659225,
-0.05669587105512619,
-0.039035260677337646,
-0.01959342695772648,
0.022549495100975037,
0.038751021027565,
0.001263671787455678,
-0.04915411025285721,
0.019110223278403282,
-0.048547737300395966,
-0.03198617324233055,
-0.03287678584456444,
-0.007020662073045969,
0.028253190219402313,
-0.00904822163283825,
-0.0004470816347748041,
-0.0554073303937912,
-0.010014628991484642,
0.009431942366063595,
-0.0033847929444164038,
-0.012004289776086807,
0.0011671495158225298,
0.0005243586492724717,
0.026130884885787964,
-0.011009459383785725,
0.024842342361807823,
-0.047259192913770676,
0.008636077865958214,
-0.023856986314058304,
-0.032270412892103195,
0.02061668038368225,
0.01247801911085844,
-0.0709456354379654,
-0.06476821005344391,
0.022966375574469566,
-0.05631688982248306,
-0.01460032444447279,
-0.05859078839421272,
-0.07056665420532227,
-0.007001712918281555,
0.03994482010602951,
-0.022606343030929565,
-0.03374844416975975,
0.03787936270236969,
-0.03145559877157211,
-0.038068853318691254,
-0.027836309745907784,
0.03899736329913139,
-0.04221871867775917,
0.00014160052523948252,
0.04604644700884819,
-0.020446138456463814,
0.02351590245962143,
-0.020484037697315216,
0.007290687412023544,
-0.017546918243169785,
0.07022556662559509,
0.019460782408714294,
-0.05896976962685585,
-0.030034411698579788,
-0.005248915869742632,
0.05154170095920563,
-0.01183374784886837,
-0.060182515531778336,
0.054080888628959656,
0.03350210562348366,
-0.018750188872218132,
0.012582238763570786,
-0.0326683446764946,
0.019915562123060226,
0.006480610929429531,
0.04165024310350418,
-0.0011440552771091461,
0.017537442967295647,
-0.007361746858805418,
0.040702786296606064,
0.0033800555393099785,
0.0163341723382473,
-0.018210139125585556,
0.01607835851609707,
-0.011644256301224232,
-0.004922043066471815,
-0.007963382638990879,
-0.04983627796173096,
0.0071912044659256935,
-0.014969832263886929,
-0.03577600419521332,
-0.011151578277349472,
0.021564139053225517,
-0.026907799765467644,
-0.07545553892850876,
0.02055983431637287,
0.011786374263465405,
0.03391898795962334,
0.04032380133867264,
-0.042862989008426666,
0.05703695863485336,
0.005698958411812782,
0.014818239025771618,
-0.04847193881869316,
-0.050253160297870636,
0.04794136434793472,
-0.02491813898086548,
0.06529878824949265,
-0.05567261949181557,
0.02001030743122101,
-0.03647712245583534,
0.046842310577631,
0.07257526367902756,
-0.032782040536403656,
-0.030451292172074318,
-0.017272155731916428,
0.018304884433746338,
-0.011454764753580093,
-0.03846678510308266,
0.023061122745275497,
-0.040702786296606064,
0.031228208914399147,
-0.06488190591335297,
0.045402176678180695,
-0.010251493193209171,
-0.016002561897039413,
-0.003908263519406319,
-0.046387530863285065,
-0.030091257765889168,
0.050253160297870636,
0.018636494874954224,
0.024937087669968605,
-0.004940992221236229,
0.0017137142131105065,
-0.04066488891839981,
0.016912121325731277,
0.03734878450632095,
-0.0048249284736812115,
-0.07632719725370407,
0.010658900253474712,
0.019110223278403282,
-0.043279871344566345,
-0.0016509451670572162,
-0.020692477002739906,
-0.011161052621901035,
0.028044749051332474,
-0.06908862292766571,
0.0035458607599139214,
0.0412333607673645,
-0.008527119643986225,
0.003207144560292363,
0.0020062418188899755,
-0.057074856013059616,
0.020578783005475998,
0.035946547985076904,
0.011540035717189312,
-0.027002546936273575,
0.05514204129576683,
-0.0017480595270171762,
-0.0022229726891964674,
-0.0017338476609438658,
0.06086468696594238,
-0.0021886273752897978,
0.004294352140277624,
0.002956068143248558,
0.028594275936484337,
-0.004531216807663441,
-0.03742458298802376,
0.01963132433593273,
-0.007745467126369476,
-0.022094715386629105,
-0.024671800434589386,
-0.028859563171863556,
0.039300549775362015,
0.006807484198361635,
-0.0469181090593338,
-0.025562411174178123,
0.009697230532765388,
0.03456325829029083,
-0.022492647171020508,
0.05593790486454964,
0.03426007181406021,
0.0433935672044754,
0.0004909015842713416,
-0.03861837834119797,
0.02381908893585205,
0.019934510812163353,
-0.03880786895751953,
-0.012695933692157269,
0.042862989008426666,
0.011843222193419933,
0.013245459645986557,
-0.031853530555963516,
0.08026862144470215,
0.02552451193332672,
0.016106782481074333,
0.0425976999104023,
-0.004654386080801487,
-0.004813085310161114,
-0.0668526217341423,
0.012695933692157269,
0.023648545145988464,
-0.05101112648844719,
0.032535698264837265,
0.0022265256848186255,
-0.009630908258259296,
0.0076791453175246716,
-0.02309902012348175,
0.0007111855084076524,
-0.028177393600344658,
0.017395325005054474,
-0.004879407584667206,
0.0005083702853880823,
0.02118515595793724,
-0.04047539457678795,
-0.009232975542545319,
0.05248916149139404,
-0.01912917196750641,
0.0063621788285672665,
-0.021052511408925056,
0.005466831382364035,
0.020294545218348503,
-0.01968817226588726,
-0.020237697288393974,
0.012080086395144463,
0.016608934849500656,
0.005428933072835207,
0.029011156409978867,
-0.0020713794510811567,
-0.03321786969900131,
-0.03100081905722618,
-0.0027499962598085403,
-0.014420307241380215,
-0.006826433353126049,
-0.012392747215926647,
0.009180866181850433,
-0.001770561677403748,
0.0190154779702425,
0.0348285473883152,
0.0033350512385368347,
0.0002740225463639945,
0.009379832074046135,
0.038163598626852036,
0.016305748373270035,
-0.0003612182626966387,
-0.009891458787024021,
-0.019337613135576248,
0.03012915700674057,
-0.04335566610097885,
0.03285783529281616,
-0.022928478196263313,
-0.001727926079183817,
0.006892755161970854,
-0.022075766697525978,
0.013529696501791477,
-0.004955204203724861,
-0.018465951085090637,
0.03316102176904678,
0.026339326053857803,
-0.016760528087615967,
0.019366037100553513,
-0.04847193881869316,
-0.016836324706673622,
0.03778461739420891,
-0.0021128307562321424,
-0.006831170525401831,
0.016154155135154724,
0.014467679895460606,
0.01689317263662815,
0.013709713704884052,
-0.045250583440065384,
-0.01892073079943657,
0.0015585679793730378,
0.028594275936484337,
-0.05430828034877777,
-0.024273868650197983,
0.04017220810055733,
0.006968551781028509,
0.044151533395051956,
-0.0006768401362933218,
0.015149849466979504,
0.023231664672493935,
-0.0004023734654765576,
0.019555527716875076,
-0.008413424715399742,
0.008086551912128925,
0.0032758351881057024,
0.039717428386211395,
0.015832019969820976,
0.04039959982037544,
-0.015102476812899113,
0.01756586693227291,
0.02904905565083027,
0.029636478051543236,
-0.000274910795269534,
-0.03518858179450035,
0.03198617324233055,
-0.0008633708930574358,
-0.007868636399507523,
-0.004093017429113388,
0.006561145186424255,
-0.0027168351225554943,
-0.034506410360336304,
-0.00007435322913806885,
0.012212730944156647,
0.03581390529870987,
0.008778195828199387,
-0.013652866706252098,
-0.020218748599290848,
0.023174816742539406,
-0.00222889450378716,
-0.010213594883680344,
0.05385350063443184,
0.020067155361175537,
-0.008621865883469582,
-0.06063729524612427,
-0.01464769709855318,
0.052072279155254364,
0.0745459794998169,
-0.03695085272192955,
0.026528816670179367,
0.01400342583656311,
0.024728648364543915,
0.026130884885787964,
0.01658051088452339,
0.014960357919335365,
0.004161708056926727,
-0.005845814477652311,
0.04858563467860222,
0.019309189170598984,
0.007953908294439316,
0.019877664744853973,
-0.026074036955833435,
-0.007702831644564867,
0.00524417869746685,
0.051806990057229996,
-0.018797561526298523,
0.0007520446088165045,
-0.009986205026507378,
0.0018096442800015211,
-0.007717043627053499,
0.03462010622024536,
0.013548646122217178,
-0.052943941205739975,
0.048661429435014725,
-0.0012435383396223187,
-0.030659733340144157,
0.0009598931646905839,
0.012089560739696026,
0.01787852868437767,
-0.005196806043386459,
0.03276308998465538,
0.025657156482338905,
-0.013776035979390144,
-0.0263014268130064,
-0.02573295310139656,
-0.01098103541880846,
-0.043128278106451035,
-0.0023793033324182034,
-0.019801868125796318,
-0.03236515820026398,
0.004983627703040838,
-0.036154989153146744,
-0.023686444386839867,
0.015111951157450676,
-0.02609298750758171,
0.028177393600344658,
0.03990692272782326,
0.028139496222138405,
0.0027594708371907473,
0.05089743062853813,
-0.0028542166110128164,
-0.04661492258310318,
0.04517478495836258,
-0.005253653507679701,
0.0013915785821154714,
-0.021014614030718803,
-0.0365908183157444,
-0.004628331400454044,
0.026471970602869987,
-0.035321224480867386,
-0.005874237976968288,
0.00159528199583292,
-0.004237504675984383,
-0.004526479635387659,
-0.029750173911452293,
0.012771730311214924,
-0.01756586693227291,
0.032422006130218506,
0.010033577680587769,
0.03192932531237602,
0.028101596981287003,
-0.024520207196474075,
0.0004269481578376144,
0.011644256301224232,
0.038315191864967346,
0.017906952649354935,
0.013965527527034283,
-0.05411878600716591,
-0.04293878749012947,
0.021052511408925056,
0.04089227691292763,
0.002761839423328638,
-0.0022182355169206858,
-0.010990509763360023,
0.036192886531353,
-0.04335566610097885,
-0.01704476587474346,
0.017120562493801117,
0.03647712245583534,
0.023553799837827682,
0.018105918541550636,
0.014960357919335365,
-0.01792590133845806,
-0.05571051687002182,
0.023648545145988464,
-0.0007419778848998249,
0.07564502954483032,
0.032327260822057724,
-0.01751849427819252,
0.010043052025139332,
0.02082512155175209,
0.03854258358478546,
-0.018901782110333443,
-0.030053360387682915,
0.054649364203214645,
0.0022170511074364185,
0.014950883574783802,
-0.04021010920405388,
-0.004680441226810217,
0.02016190066933632,
0.0511627197265625,
-0.020692477002739906,
0.033975835889577866,
0.006973288953304291,
0.04805505648255348,
0.05275444686412811,
-0.011549510061740875,
0.03679925948381424,
0.0252213254570961,
-0.0037306149024516344,
-0.008413424715399742,
-0.019782917574048042,
0.012061137706041336,
-0.01059257797896862,
-0.004922043066471815,
-0.04456841200590134,
0.047107599675655365,
-0.004583327099680901,
-0.009218764491379261,
-0.04108176752924919,
-0.03662871569395065,
0.016533138230443,
-0.013624442741274834,
0.006513772066682577,
-0.0476381778717041,
0.006532721221446991,
-0.018996527418494225,
0.030527088791131973,
-0.007001712918281555,
-0.019498681649565697,
-0.004533585626631975,
-0.01413606945425272,
-0.011180001311004162,
0.009787239134311676,
0.03473380208015442,
-0.009038747288286686,
-0.014912985265254974,
0.027817359194159508,
0.04532637819647789,
-0.0026860428042709827,
-0.01082944218069315,
0.0027144665364176035,
-0.0013086760882288218,
-0.048509836196899414,
0.0476381778717041,
0.021620986983180046,
0.0014531633350998163,
0.024671800434589386,
-0.02510763145983219,
0.035055939108133316,
-0.023193765431642532,
-0.014173967763781548,
-0.004592801444232464,
0.021999970078468323,
0.002076116856187582,
-0.025410817936062813,
0.0017646400956436992,
0.0071912044659256935,
0.0198966134339571,
-0.006760111078619957,
0.014192917384207249,
-0.011435815133154392,
0.017689036205410957,
-0.00837078969925642,
-0.020142951980233192,
-0.010365188121795654,
0.0358707495033741,
0.025183428078889847,
-0.057491738349199295,
-0.03007230907678604,
-0.009730391204357147,
0.03791726008057594,
0.001569226966239512,
-0.014401357620954514,
0.06355546414852142,
0.01018517091870308,
-0.008702399209141731,
-0.0006857225671410561,
-0.010431510396301746,
0.02609298750758171,
0.019650274887681007,
-0.018058545887470245,
-0.038675226271152496,
0.04578115791082382,
-0.0469181090593338,
-0.02904905565083027,
-0.03551071882247925,
-0.0497225821018219,
-0.02806369960308075,
-0.024463359266519547,
0.01524459570646286,
0.032213564962148666,
-0.012961221858859062,
0.004434102214872837,
0.02154519036412239,
-0.021999970078468323,
0.054232481867074966,
0.019356561824679375,
-0.027987902984023094,
0.047410786151885986,
0.04574326053261757,
0.03926264867186546,
-0.024330714717507362,
-0.03225146234035492,
-0.03856153041124344,
-0.03391898795962334,
0.010734696872532368,
-0.02154519036412239,
0.0475623793900013,
-0.01222220528870821,
0.0009427204495295882,
-0.023326409980654716,
-0.03441166505217552,
-0.053095534443855286,
-0.0040622251108288765,
0.017527969554066658,
-0.01953657902777195,
0.011104204691946507,
-0.0029276444111019373,
-0.00757018756121397,
-0.019726071506738663,
0.0037329834885895252,
0.015216171741485596,
-0.02309902012348175,
-0.032592546194791794,
-0.013330730609595776,
0.011454764753580093,
-0.0077928402461111546,
0.042256616055965424,
0.003202407155185938,
-0.014931933954358101,
0.02393278293311596,
-0.004284877795726061,
-0.06980869174003601,
-0.014230815693736076,
-0.012193781323730946,
-0.07659248262643814,
0.013690765015780926,
0.061622653156518936,
-0.01912917196750641,
-0.023326409980654716,
0.0034771698992699385,
-0.02925749495625496,
-0.0094082560390234,
0.00662746699526906,
0.0014922459376975894,
0.013198086991906166,
-0.02186732552945614,
-0.013264408335089684,
0.03479065001010895,
0.0198966134339571,
-0.007627035025507212,
0.03321786969900131,
-0.02842373214662075,
-0.018219612538814545,
-0.032782040536403656,
0.027931055054068565,
-0.016106782481074333,
0.001386841293424368,
0.009545637294650078,
-0.01586044393479824,
-0.03276308998465538,
0.008238145150244236,
0.004623593762516975,
0.007712306454777718,
-0.01346337515860796,
0.0015763328410685062,
0.029484884813427925,
-0.018636494874954224,
0.01346337515860796,
0.0014223710168153048,
0.0031408225186169147,
0.010014628991484642,
0.009346670471131802,
-0.03426007181406021,
-0.00904822163283825,
0.006144263781607151,
0.021317800506949425,
0.01674157939851284,
-0.07973804324865341,
-0.041991326957941055,
0.020635630935430527,
-0.006016356870532036,
0.013397052884101868,
0.01819118857383728,
-0.011540035717189312,
0.027362579479813576,
-0.0011079334653913975,
0.021999970078468323,
-0.031967226415872574,
0.02139359712600708,
0.06177424639463425,
-0.011900069192051888,
0.004718339536339045,
0.008820831775665283,
0.0344306156039238,
0.019763968884944916,
-0.006073204334825277,
-0.04039959982037544,
-0.007968120276927948,
-0.009138230234384537,
-0.019081799313426018,
0.0018060914007946849,
0.03611709177494049,
0.021374646574258804,
0.010905238799750805,
0.013330730609595776,
-0.005874237976968288,
-0.05267865210771561,
0.04233241453766823,
-0.01823856122791767,
0.0025936656165868044,
-0.021052511408925056,
0.027760513126850128,
-0.003974585328251123,
0.01201376412063837,
0.014515052549540997,
-0.0174142736941576,
0.021639935672283173,
0.0188165120780468,
-0.03937634453177452,
-0.037860412150621414,
-0.036515023559331894,
0.012639086693525314,
0.03228935971856117,
-0.05275444686412811,
0.04631173610687256,
0.01773640885949135,
-0.006987500935792923,
-0.006267433054745197,
0.013302306644618511,
0.010260967537760735,
-0.02609298750758171,
0.01364339143037796,
-0.024633901193737984,
-0.023193765431642532,
-0.008389738388359547,
-0.03649607300758362,
-0.026036139577627182,
0.022909529507160187,
0.04392414167523384,
-0.02150729112327099,
0.0032568860333412886,
-0.02154519036412239,
-0.07132462412118912,
0.007830738089978695,
-0.022094715386629105,
0.04081648215651512,
0.029807021841406822,
0.030868174508213997,
0.05499044805765152,
0.028310038149356842,
-0.01183374784886837,
0.043999940156936646,
-0.01237379852682352,
-0.005765280686318874,
0.01087681483477354,
-0.014723493717610836,
0.015187747776508331,
0.007470704615116119,
0.016883697360754013,
-0.0234211552888155,
-0.019650274887681007,
-0.012288527563214302,
0.03179668262600899,
-0.03270624205470085,
-0.005381559953093529,
-0.03672346472740173
] |
Discovering mathematical equations that govern physical and biological
systems from observed data is a fundamental challenge in scientific research.
We present a new physics-informed framework for parameter estimation and
missing physics identification (gray-box) in the field of Systems Biology. The
proposed framework -- named AI-Aristotle -- combines eXtreme Theory of
Functional Connections (X-TFC) domain-decomposition and Physics-Informed Neural
Networks (PINNs) with symbolic regression (SR) techniques for parameter
discovery and gray-box identification. We test the accuracy, speed, flexibility
and robustness of AI-Aristotle based on two benchmark problems in Systems
Biology: a pharmacokinetics drug absorption model, and an ultradian endocrine
model for glucose-insulin interactions. We compare the two machine learning
methods (X-TFC and PINNs), and moreover, we employ two different symbolic
regression techniques to cross-verify our results. While the current work
focuses on the performance of AI-Aristotle based on synthetic data, it can
equally handle noisy experimental data and can even be used for black-box
identification in just a few minutes on a laptop. More broadly, our work
provides insights into the accuracy, cost, scalability, and robustness of
integrating neural networks with symbolic regressors, offering a comprehensive
guide for researchers tackling gray-box identification challenges in complex
dynamical systems in biomedicine and beyond. | [
0.014428154565393925,
-0.0021454852540045977,
-0.02398446388542652,
-0.07588834315538406,
-0.0035297449212521315,
0.01956232823431492,
-0.0017871236195787787,
0.01699524186551571,
-0.015458736568689346,
0.032135434448719025,
-0.019225047901272774,
-0.011954756453633308,
0.06569495052099228,
-0.009753057733178139,
0.016667328774929047,
0.05418989807367325,
0.000021354575437726453,
-0.01742621324956417,
0.004815630614757538,
-0.07382717728614807,
0.015215144492685795,
0.004504113923758268,
0.046095144003629684,
0.013182086870074272,
0.04699455946683884,
0.027638347819447517,
-0.01350999902933836,
-0.010596261359751225,
-0.03961184248328209,
0.034608833491802216,
0.06768116354942322,
0.018869027495384216,
0.03730708360671997,
0.0332784429192543,
0.011158397421240807,
-0.04395902529358864,
0.004843737464398146,
0.07982329279184341,
-0.018166357651352882,
0.08327106386423111,
-0.006581674329936504,
0.02954960986971855,
0.007012645248323679,
0.022429222241044044,
0.009457936510443687,
-0.011767378076910973,
-0.011561261489987373,
-0.020068250596523285,
0.00526065519079566,
0.01601150445640087,
-0.03663252294063568,
-0.012114028446376324,
0.0338967926800251,
0.015870969742536545,
0.006619150284677744,
0.03700727969408035,
0.041897863149642944,
0.0550893172621727,
0.07547610998153687,
-0.03878737613558769,
-0.0036140652373433113,
0.04913067817687988,
-0.03635145351290703,
-0.016508057713508606,
0.029924366623163223,
-0.04594523832201958,
0.031873103231191635,
0.06929261982440948,
0.008446091786026955,
0.026851357892155647,
-0.047669123858213425,
0.009176868014037609,
-0.01078363973647356,
-0.0023925909772515297,
0.010596261359751225,
-0.052391063421964645,
-0.011111552827060223,
0.05531417205929756,
0.020592911168932915,
0.018297523260116577,
0.05220368504524231,
0.05310310423374176,
-0.011889173649251461,
0.06292174011468887,
0.033390872180461884,
0.006192863918840885,
-0.003677305532619357,
-0.07944853603839874,
-0.017285678535699844,
-0.019824659451842308,
-0.0032065168488770723,
0.024303007870912552,
-0.05625106394290924,
0.010736795142292976,
0.03447766602039337,
0.02480893023312092,
0.02591446414589882,
0.017969610169529915,
-0.03284747526049614,
0.004562669433653355,
0.02308504655957222,
-0.03352203592658043,
0.0001761066378094256,
0.07214077562093735,
0.0032322814222425222,
-0.05347786098718643,
-0.02083650417625904,
-0.003110485151410103,
0.01230140682309866,
0.17253823578357697,
-0.01926252245903015,
0.013463154435157776,
-0.04253494739532471,
0.012863542884588242,
-0.022991357371211052,
-0.019393688067793846,
-0.0595114529132843,
-0.057113006711006165,
0.0397617444396019,
-0.030355338007211685,
0.049093201756477356,
0.05493941530585289,
0.01751990243792534,
-0.010736795142292976,
-0.03511475399136543,
0.04602019116282463,
-0.007485776208341122,
-0.05403999611735344,
0.03342834860086441,
0.01847553253173828,
0.0010744993342086673,
0.04133572429418564,
0.02025562897324562,
-0.050817083567380905,
-0.007349926512688398,
-0.00463059451431036,
-0.017800970003008842,
-0.009977911598980427,
0.03766310587525368,
-0.055539026856422424,
-0.03438397869467735,
-0.01722009666264057,
-0.026626503095030785,
-0.06048582121729851,
0.012029708363115788,
0.01678912527859211,
-0.016620485112071037,
0.06029844284057617,
0.0002733092987909913,
0.026720192283391953,
-0.11789863556623459,
0.016517426818609238,
-0.026514075696468353,
0.006333397701382637,
-0.010343300178647041,
-0.005106067750602961,
-0.005846213083714247,
-0.01993708685040474,
0.0316857248544693,
0.01020276639610529,
0.008647523820400238,
0.012732378207147121,
0.03603291139006615,
0.037962909787893295,
0.05119184032082558,
0.01317271776497364,
0.006539514288306236,
0.00006785155710531399,
-0.07225319743156433,
0.06202232465147972,
0.021923299878835678,
-0.07060426473617554,
-0.056588344275951385,
0.023122522979974747,
-0.038375142961740494,
0.027994366362690926,
0.027525920420885086,
0.0035250603687018156,
-0.0041270144283771515,
0.006759684067219496,
-0.04778154939413071,
-0.03537708520889282,
0.03243524208664894,
0.045420579612255096,
0.026945047080516815,
0.03485242649912834,
0.06603223085403442,
0.004658701363950968,
0.04167300835251808,
0.011045970022678375,
0.010399513877928257,
0.002071704948320985,
0.010661844164133072,
-0.031723201274871826,
-0.009382984600961208,
0.014746698550879955,
-0.011767378076910973,
-0.05520174279808998,
-0.024490386247634888,
0.03766310587525368,
0.01831626147031784,
-0.08252155035734177,
-0.05332795903086662,
-0.00665194122120738,
-0.01107407733798027,
-0.01503713522106409,
0.022522911429405212,
-0.044521164149045944,
0.057750094681978226,
-0.014737329445779324,
0.003719465807080269,
0.023216212168335915,
-0.06644446402788162,
-0.07150368392467499,
-0.02608310431241989,
-0.022803978994488716,
-0.00926118902862072,
-0.028050580993294716,
-0.0001255290408153087,
-0.01482164952903986,
-0.04485844448208809,
0.04354679211974144,
0.046469900757074356,
0.006024222820997238,
0.016358153894543648,
-0.02797563001513481,
0.020443009212613106,
-0.003752256976440549,
0.028743881732225418,
-0.00855383463203907,
0.030523978173732758,
0.028425337746739388,
0.02870640531182289,
0.0318918414413929,
-0.048456113785505295,
0.025989415124058723,
0.03121727891266346,
-0.024003202095627785,
-0.009977911598980427,
-0.006867426913231611,
-0.02287892997264862,
0.02649533748626709,
0.024471649900078773,
-0.028781358152627945,
0.07296524196863174,
-0.057000577449798584,
-0.040211454033851624,
0.07944853603839874,
0.07360232621431351,
0.03444019332528114,
0.015917815268039703,
-0.028725143522024155,
0.03562067821621895,
-0.01837247423827648,
-0.08949203044176102,
-0.015646114945411682,
0.030842522159218788,
-0.01088669802993536,
-0.0003574832808226347,
0.000009835548553382978,
0.041485629975795746,
0.015027766115963459,
0.04838116094470024,
0.0700046569108963,
-0.02786320261657238,
-0.02497757039964199,
0.07682523876428604,
0.031666986644268036,
0.011842329055070877,
0.0415605790913105,
-0.013238300569355488,
0.0018128881929442286,
0.003630460938438773,
-0.040848542004823685,
0.006511407438665628,
-0.061160385608673096,
-0.024377958849072456,
0.01746368780732155,
0.031179804354906082,
0.005204441491514444,
-0.04354679211974144,
-0.011889173649251461,
0.022054465487599373,
-0.01805393025279045,
0.017332524061203003,
-0.04118582233786583,
-0.05182892829179764,
-0.01889713481068611,
-0.029268542304635048,
-0.0494304820895195,
0.04444621130824089,
0.010408882983028889,
-0.05059222877025604,
0.044258832931518555,
0.03337213397026062,
0.008047912269830704,
-0.061047956347465515,
-0.08432038128376007,
-0.02608310431241989,
-0.0010487347608432174,
-0.014943446032702923,
-0.04448368772864342,
0.03442145511507988,
0.015917815268039703,
-0.019749706611037254,
-0.013753591105341911,
0.03640766814351082,
0.08289630711078644,
0.007855849340558052,
-0.0035531672183424234,
-0.005518300458788872,
0.03384058177471161,
-0.02739475481212139,
-0.05838718265295029,
-0.0010253124637529254,
0.019824659451842308,
0.02276650257408619,
-0.05876193940639496,
-0.02591446414589882,
-0.011701795272529125,
0.028575241565704346,
-0.0016922632930800319,
-0.08019805699586868,
0.04062368720769882,
0.006473931483924389,
-0.011589367873966694,
-0.010568154975771904,
-0.004904635716229677,
-0.0045907762832939625,
0.011102183721959591,
0.01143946498632431,
-0.03305359184741974,
-0.03217291086912155,
0.00665194122120738,
-0.022129416465759277,
-0.0015318202786147594,
0.009612523950636387,
-0.005771261639893055,
-0.023740872740745544,
-0.008010436780750751,
-0.002067020395770669,
0.00918623711913824,
-0.030299125239253044,
-0.017875920981168747,
-0.008277450688183308,
-0.020349320024251938,
-0.025783298537135124,
0.02480893023312092,
-0.042684853076934814,
-0.042010288685560226,
0.001042293617501855,
-0.02434048429131508,
0.02203572727739811,
-0.04744426906108856,
0.036595046520233154,
-0.03089873678982258,
0.014109610579907894,
-0.04429630935192108,
0.020161939784884453,
-0.027582135051488876,
0.025633396580815315,
-0.05077960714697838,
-0.024490386247634888,
0.02404067851603031,
-0.04572038725018501,
-0.016386261209845543,
0.00965936854481697,
0.02911863848567009,
0.03912465646862984,
0.008122863247990608,
-0.02745096944272518,
0.03597669675946236,
0.0361078605055809,
-0.021792134270071983,
0.01295723207294941,
0.002761492505669594,
0.014465630054473877,
-0.017866551876068115,
-0.02754465863108635,
0.03961184248328209,
-0.062209706753492355,
0.0037827061023563147,
-0.013697377406060696,
0.06119786202907562,
0.021323688328266144,
0.004232414998114109,
0.02859397791326046,
-0.016929659992456436,
0.024790192022919655,
0.01689218357205391,
-0.015589902177453041,
0.010942911729216576,
-0.015533688478171825,
-0.06179747357964516,
0.02031184360384941,
-0.0401739776134491,
0.04144815355539322,
-0.011149028316140175,
0.0546770840883255,
-0.001325703808106482,
0.0427972786128521,
-0.045308154076337814,
-0.07734990119934082,
-0.005017062649130821,
0.03683863952755928,
0.04077358916401863,
-0.048306211829185486,
-0.05913669615983963,
0.021548543125391006,
-0.01558053307235241,
0.01327577605843544,
0.00013197018415667117,
0.004693834576755762,
-0.056326016783714294,
0.046095144003629684,
-0.00042394414776936173,
-0.05861203372478485,
0.03642640635371208,
0.037232134491205215,
-0.016761017963290215,
0.013856649398803711,
0.05981125682592392,
-0.029736988246440887,
-0.06457067281007767,
0.01374422200024128,
0.013050921261310577,
0.0369323268532753,
-0.008305558003485203,
0.004049720708280802,
0.0004131113237235695,
-0.021960774436593056,
0.009251819923520088,
0.0009363075951114297,
-0.01065247505903244,
0.0011412529274821281,
-0.022129416465759277,
-0.016180144622921944,
0.018082037568092346,
-0.00536371348425746,
-0.05089203640818596,
-0.04245999827980995,
-0.03608912229537964,
0.015814756974577904,
-0.013659901916980743,
-0.01931873708963394,
0.0030800362583249807,
-0.0031596720218658447,
-0.04024893045425415,
-0.00996854342520237,
0.006900217849761248,
-0.014915338717401028,
-0.009204975329339504,
-0.025520969182252884,
-0.0022333189845085144,
0.05149164795875549,
-0.04613261669874191,
-0.007195339538156986,
-0.0034735314548015594,
0.00999664980918169,
0.0007190654869191349,
-0.012207717634737492,
0.03320349380373955,
0.01469048485159874,
-0.03498359024524689,
0.02529611438512802,
0.02349727973341942,
-0.014072135090827942,
0.014418785460293293,
0.011298931203782558,
0.06805592030286789,
0.030149221420288086,
0.022335533052682877,
0.03074883297085762,
0.007260921876877546,
0.03500232845544815,
0.04931805655360222,
0.015599271282553673,
-0.040323879569768906,
0.034758735448122025,
-0.010689950548112392,
0.04077358916401863,
0.01458742655813694,
0.04047378525137901,
-0.010999125428497791,
-0.017145143821835518,
0.01568359136581421,
0.007593519054353237,
0.02954960986971855,
0.038318928331136703,
0.011317669413983822,
-0.031123589724302292,
-0.010764902457594872,
-0.001646589720621705,
-0.00883958674967289,
0.02891252189874649,
-0.03295990079641342,
0.012554368004202843,
-0.0001815230498323217,
0.049093201756477356,
0.006558252032846212,
0.06217223033308983,
-0.04096096754074097,
-0.026476601138710976,
0.007598203606903553,
0.0371384434401989,
0.05613863840699196,
0.01836310513317585,
0.00269590993411839,
0.025277376174926758,
0.0005474969511851668,
-0.0017929793102666736,
-0.03367193788290024,
0.012863542884588242,
-0.008076018653810024,
-0.008539780974388123,
0.030336599797010422,
0.002433579880744219,
-0.0007811346440576017,
0.013762960210442543,
0.07378970086574554,
0.030205434188246727,
-0.024527862668037415,
-0.0028786042239516973,
0.026888832449913025,
-0.055913783609867096,
0.02261660061776638,
0.015196407213807106,
0.006680048070847988,
0.01814761944115162,
0.03820650279521942,
-0.026158057153224945,
0.031985532492399216,
-0.01856922172009945,
-0.07101649791002274,
-0.040436308830976486,
-0.01978718303143978,
0.007982329465448856,
0.09488853812217712,
0.01065247505903244,
-0.01238572783768177,
-0.08244659751653671,
0.06284679472446442,
0.04785650223493576,
0.02372213453054428,
0.006197548005729914,
-0.0066004120744764805,
0.06153514236211777,
-0.011973494663834572,
0.003927924670279026,
0.00004519777576206252,
0.0024944778997451067,
0.00013702061551157385,
0.015187038108706474,
-0.011786115355789661,
0.024115629494190216,
-0.020799027755856514,
-0.021492328494787216,
0.00663788802921772,
0.001636049710214138,
-0.009631261229515076,
-0.029980581253767014,
0.002042426960542798,
-0.06119786202907562,
-0.03346582502126694,
-0.04856853932142258,
-0.04380912333726883,
-0.00860536377876997,
0.030186697840690613,
0.029980581253767014,
0.017810339108109474,
0.009167499840259552,
-0.018972085788846016,
-0.019768444821238518,
-0.0032205702736973763,
0.0055932519026100636,
0.03043028898537159,
0.01873786374926567,
-0.03337213397026062,
0.007125072181224823,
-0.0049186889082193375,
0.007841795682907104,
-0.03957436606287956,
0.006567621137946844,
0.01012781448662281,
-0.014643640257418156,
-0.03464630991220474,
-0.015411891974508762,
-0.010390144772827625,
-0.03683863952755928,
-0.019656017422676086,
-0.009500096552073956,
0.05531417205929756,
0.003438397776335478,
0.01690155267715454,
-0.03642640635371208,
0.02938096970319748,
-0.005293446127325296,
-0.000015599636753904633,
0.02613931894302368,
-0.021960774436593056,
0.02104262076318264,
-0.003653883235529065,
0.037700578570365906,
0.047256890684366226,
-0.016601746901869774,
0.017604222521185875,
0.0027825727593153715,
0.008371139876544476,
0.018194464966654778,
0.007921431213617325,
-0.04313455894589424,
-0.0025951939169317484,
0.007630994543433189,
-0.061572618782520294,
0.027413493022322655,
0.005644781049340963,
0.03792543336749077,
0.024621551856398582,
-0.00549487816169858,
0.02419058047235012,
0.036913588643074036,
-0.023010095581412315,
0.03567689284682274,
-0.014325096271932125,
-0.013519368134438992,
0.017079561948776245,
-0.001352639519609511,
-0.023422328755259514,
-0.007284344173967838,
-0.025577183812856674,
0.002312954980880022,
-0.0012589502148330212,
-0.007785581983625889,
-0.014287620782852173,
0.09151571989059448,
-0.020293105393648148,
-0.000667536340188235,
0.10485707968473434,
0.018222572281956673,
0.069442518055439,
0.0015681248623877764,
0.016976503655314445,
0.028631454333662987,
-0.024415435269474983,
-0.0008338349289260805,
-0.004220703616738319,
-0.006155387964099646,
-0.009687474928796291,
0.022541649639606476,
0.042010288685560226,
0.00014712150732520968,
0.019955823197960854,
0.038899801671504974,
0.05325300619006157,
0.025202425196766853,
-0.027301065623760223,
0.02349727973341942,
-0.0035414560697972775,
-0.012020339258015156,
-0.00730776647105813,
0.019281260669231415,
0.042010288685560226,
0.038749899715185165,
0.03741951286792755,
0.0427972786128521,
0.018325630575418472,
0.030973687767982483,
0.0042160190641880035,
0.014437523670494556,
0.007064174395054579,
-0.024021940305829048,
-0.009425144642591476,
0.00033698874176479876,
0.03447766602039337,
0.039799220860004425,
-0.02124873735010624,
-0.006628518924117088,
0.04527067765593529,
0.00006250834121601656,
-0.06438329815864563,
-0.040698640048503876,
0.008919223211705685,
-0.017023349180817604,
-0.014980921521782875,
-0.05838718265295029,
-0.004401055630296469,
-0.03372815251350403,
0.013866018503904343,
0.007251552771776915,
0.008628785610198975,
-0.002981662517413497,
-0.022316794842481613,
0.04879339411854744,
-0.0075373053550720215,
0.009687474928796291,
0.012779222801327705,
0.021323688328266144,
0.00017566746100783348,
0.01984339766204357,
0.01219834852963686,
-0.045682910829782486,
0.019187571480870247,
-0.0031034585554152727,
-0.017126407474279404,
-0.011701795272529125,
-0.004269890487194061,
0.02844407595694065,
-0.02439669705927372,
-0.01162684429436922,
-0.03264135867357254,
0.026682717725634575,
0.018325630575418472,
0.002419526455923915,
0.007106334436684847,
0.06438329815864563,
0.007851164788007736,
-0.0007471722783520818,
0.01275111548602581,
-0.040436308830976486,
0.0007389744860120118,
-0.006071067415177822,
-0.011701795272529125,
-0.04013650119304657,
-0.03845009580254555,
-0.008455460891127586,
0.04650737717747688,
-0.006230339407920837,
0.010193397291004658,
0.014531212858855724,
-0.008802111260592937,
0.011973494663834572,
-0.025802036747336388,
0.024377958849072456,
0.02162349410355091,
0.005789999850094318,
-0.02876261994242668,
0.04650737717747688,
0.024846406653523445,
0.0028317596297711134,
-0.0015189379919320345,
0.0015247935662046075,
0.01403465960174799,
0.06951747089624405,
0.009471990168094635,
0.011158397421240807,
0.0494304820895195,
-0.0020986406598240137,
0.0009796388912945986,
-0.047931455075740814,
-0.004145752172917128,
0.034290287643671036,
-0.0821467936038971,
0.04658232629299164,
0.0010147723369300365,
-0.014465630054473877,
-0.03331591933965683,
0.022485435009002686,
-0.040211454033851624,
0.0025647450238466263,
0.013500629924237728,
-0.009977911598980427,
0.039162132889032364,
-0.011364514008164406,
0.021698445081710815,
0.07037941366434097,
0.028163008391857147,
-0.03517096862196922,
0.0568881519138813,
0.034234076738357544,
0.005204441491514444,
0.0012776880757883191,
-0.00841798447072506,
0.017594853416085243,
-0.01904703676700592,
-0.002918422222137451,
-0.02381582371890545,
-0.009303349070250988,
-0.01009970810264349,
-0.006057014223188162,
0.04890582337975502,
0.006235023960471153,
-0.03436524048447609,
-0.01920630969107151,
-0.010006018914282322,
0.010689950548112392,
-0.021173784509301186,
-0.038899801671504974,
-0.007335873320698738,
0.005902426782995462,
0.027713298797607422,
0.020105727016925812,
0.010043494403362274,
0.0022333189845085144,
-0.02434048429131508,
0.056850675493478775,
-0.012582475319504738,
-0.0013655218062922359,
-0.023309901356697083,
0.00017478912195656449,
-0.0024897935800254345,
0.010849222540855408,
0.003330655163154006,
-0.03183563053607941,
0.02865019254386425,
0.006478616036474705,
-0.04523320123553276,
-0.04208524152636528,
0.00735929561778903,
-0.0031690411269664764,
0.01065247505903244,
-0.014334465377032757,
0.03500232845544815,
0.024171842262148857,
-0.0029277910944074392,
0.031554561108350754,
0.00461888313293457,
-0.018082037568092346,
0.035545725375413895,
-0.030580192804336548,
-0.00889111589640379,
-0.053852617740631104,
-0.01941242627799511,
-0.005185703746974468,
0.010942911729216576,
-0.01174863986670971,
-0.036969803273677826,
0.010980387218296528,
0.02407815307378769,
0.009809271432459354,
-0.007260921876877546,
0.029624560847878456,
0.04789397865533829,
-0.02587698958814144,
0.01778223179280758,
-0.02434048429131508,
0.04650737717747688,
0.03919960930943489,
0.007546674460172653,
-0.052016306668519974,
0.012460678815841675,
0.008713106624782085,
0.01716388203203678,
-0.025670873001217842,
-0.05070465803146362,
-0.037756793200969696,
0.019121989607810974,
0.022016989067196846,
0.038075339049100876,
0.01143946498632431,
0.028612716123461723,
0.010240241885185242,
0.003710096934810281,
0.021436115726828575,
0.024733979254961014,
0.024096891283988953,
-0.004312050528824329,
0.06400854140520096,
0.01647995039820671,
-0.005518300458788872,
-0.020368056371808052,
0.008909854106605053,
0.013032183982431889,
0.051229316741228104,
-0.029193591326475143,
0.03215417265892029,
-0.005405873525887728,
0.01662985421717167,
-0.029568348079919815,
-0.029830677434802055,
-0.08866756409406662,
-0.03957436606287956,
0.016189513728022575,
0.039274562150239944,
0.03185436874628067,
0.009429829195141792,
0.007509198505431414,
-0.02072407677769661,
0.0014908312587067485,
-0.033709414303302765,
-0.0019358554854989052,
-0.009649999439716339,
-0.012320145033299923,
0.018072668462991714,
-0.004319077357649803,
0.021286211907863617,
0.028144270181655884,
-0.01217024214565754,
-0.011954756453633308,
-0.05823727697134018,
-0.035395823419094086,
-0.012544998899102211,
0.007499829865992069,
-0.027469707652926445,
-0.014147086068987846,
0.01814761944115162,
-0.03241650387644768,
-0.007499829865992069,
0.03191057965159416,
-0.03488989919424057,
0.007607572246342897,
0.0014873178442940116,
-0.015421261079609394,
-0.02214815467596054,
-0.06535766273736954,
0.022953882813453674,
-0.007738737389445305,
0.022841455414891243,
0.021342426538467407,
0.03074883297085762,
0.006876795552670956,
-0.011102183721959591,
-0.03768184408545494,
0.040323879569768906,
0.0316857248544693,
0.018653541803359985,
0.009120655246078968,
-0.026270484551787376,
0.00586495129391551,
0.022335533052682877,
-0.005181019194424152,
-0.011458203196525574,
0.023759610950946808,
-0.03511475399136543,
0.025951940566301346,
0.009593785740435123,
0.029811939224600792,
0.017978979274630547,
0.028519026935100555,
-0.007532620802521706,
-0.006633203476667404,
-0.04841863736510277,
0.035189706832170486,
0.05351533740758896,
0.036857377737760544,
0.04024893045425415,
0.014222037978470325,
0.01240446511656046,
-0.008516359142959118,
-0.00808070320636034,
-0.01217024214565754,
-0.02938096970319748,
-0.009303349070250988,
-0.024883881211280823,
0.022110678255558014,
-0.0028903153724968433,
0.01560863945633173,
0.028781358152627945,
0.051866404712200165,
-0.024377958849072456,
0.023010095581412315,
-0.02428426966071129,
-0.023272424936294556,
0.019862134009599686,
0.030561454594135284,
-0.021173784509301186,
-0.005265339277684689,
-0.006042960565537214,
-0.0006206916877999902,
0.002319981576874852,
-0.0035484828986227512,
-0.01747305691242218,
0.023740872740745544,
-0.0468071810901165,
-0.018906503915786743,
0.009537572041153908,
0.004876528866589069,
0.02486514486372471,
-0.05310310423374176,
-0.04317203536629677,
-0.00029043687391094863,
0.005485509522259235,
0.01130830030888319,
-0.006736261770129204,
0.03132970631122589,
0.034702520817518234,
-0.01715451292693615,
-0.04309708625078201,
0.021792134270071983,
-0.020686600357294083,
-0.013650532811880112,
0.03447766602039337,
-0.04560795798897743,
0.031123589724302292,
-0.0002194379485445097,
-0.019599804654717445,
0.0029090531170368195,
-0.01795087195932865,
0.024752717465162277,
-0.0343090258538723,
0.024677764624357224,
0.007776213344186544,
0.02004951424896717,
0.029043687507510185,
-0.009532887488603592,
-0.010849222540855408,
-0.003349392907693982,
0.01836310513317585,
0.007218761835247278,
-0.00003438324711169116,
-0.013622426427900791,
-0.00465635908767581,
-0.01731378585100174,
-0.022279318422079086,
0.03991164639592171,
0.012563737109303474,
0.04290970787405968,
0.03164825215935707,
-0.025802036747336388,
0.0016266807215288281,
0.0006370873306877911,
-0.03648262098431587,
-0.02928728051483631,
-0.004054405260831118,
-0.003789732698351145,
-0.05786252021789551,
0.012544998899102211,
0.02954960986971855,
-0.012048445641994476,
-0.006370873190462589,
0.011430096812546253,
0.02932475507259369,
-0.010006018914282322,
0.02555844560265541,
-0.01799771748483181
] |
Maintaining normal blood glucose levels through lifestyle behaviors is
central to maintaining health and preventing disease. Frequent exposure to
dysglycemia (i.e., abnormal glucose events such as hyperlycemia and
hypoglycemia) leads to chronic complications including diabetes, kidney disease
and need for dialysis, myocardial infarction, stroke, amputation, and death.
Therefore, a tool capable of predicting dysglycemia and offering users
actionable feedback about how to make changes in their diet, exercise, and
medication to prevent abnormal glycemic events could have significant societal
impacts. Counterfactual explanations can provide insights into why a model made
a particular prediction by generating hypothetical instances that are similar
to the original input but lead to a different prediction outcome. Therefore,
counterfactuals can be viewed as a means to design AI-driven health
interventions to prevent adverse health outcomes such as dysglycemia. In this
paper, we design GlyCoach, a framework for generating counterfactual
explanations for glucose control. Leveraging insights from adversarial
learning, GlyCoach characterizes the decision boundary for high-dimensional
health data and performs a grid search to generate actionable interventions.
GlyCoach is unique in integrating prior knowledge about user preferences of
plausible explanations into the process of counterfactual generation. We
evaluate GlyCoach extensively using two real-world datasets and external
simulators from prior studies that predict glucose response. GlyCoach achieves
87\% sensitivity in the simulation-aided validation, surpassing the
state-of-the-art techniques for generating counterfactual explanations by at
least $10\%$. Besides, counterfactuals from GlyCoach exhibit a $32\%$ improved
normalized distance compared to previous research. | [
0.008200578391551971,
0.0182589553296566,
-0.022237267345190048,
-0.05393240973353386,
0.07157210260629654,
0.03571098670363426,
0.008355394937098026,
-0.01411175075918436,
-0.02154293842613697,
-0.0338531918823719,
-0.031545016914606094,
-0.02518347091972828,
0.02848622016608715,
-0.04023350402712822,
-0.0026881759986281395,
-0.015781892463564873,
-0.02465803362429142,
-0.011737898923456669,
-0.0014895215863361955,
-0.0235883928835392,
-0.004090906586498022,
-0.04218512773513794,
-0.013745821081101894,
0.007281063124537468,
0.03409714251756668,
0.0498415045440197,
0.01752709597349167,
0.010780852288007736,
-0.011428266763687134,
0.04920347407460213,
0.023794814944267273,
-0.004869679920375347,
-0.02796078287065029,
-0.031376127153635025,
-0.0890241339802742,
-0.02660965733230114,
0.00996454805135727,
0.02510840818285942,
0.033871956169605255,
0.05288153514266014,
-0.010274180211126804,
-0.020942438393831253,
0.013229766860604286,
-0.008407000452280045,
-0.00006923489854671061,
-0.05014175549149513,
-0.07179728895425797,
-0.029968705028295517,
-0.02927437797188759,
0.00874947290867567,
-0.0005283696809783578,
-0.052731409668922424,
0.03970806673169136,
-0.009274911135435104,
0.0164762195199728,
0.01895328238606453,
0.039745595306158066,
-0.02518347091972828,
0.08264382183551788,
0.028992893174290657,
-0.02582150138914585,
0.0002114065136993304,
-0.02101750113070011,
-0.023663455620408058,
0.009016883559525013,
-0.01464657112956047,
-0.009260836988687515,
0.0702960342168808,
-0.02537112683057785,
-0.006333399098366499,
-0.030419079586863518,
0.021317752078175545,
-0.024808157235383987,
0.04102165997028351,
0.007046492770314217,
-0.0020524903666228056,
0.01335174310952425,
0.013370509259402752,
0.0013382236938923597,
-0.03657420724630356,
-0.0014754473231732845,
0.05731022357940674,
0.0032487991265952587,
0.01015220396220684,
0.08999994397163391,
-0.02081107906997204,
0.051605474203825,
-0.07446200400590897,
-0.005024496465921402,
-0.003136205254122615,
0.013004578649997711,
0.0050198049284517765,
-0.020454533398151398,
-0.006675871554762125,
-0.016297945752739906,
-0.008575891144573689,
0.03184526786208153,
-0.005554625298827887,
-0.017508329823613167,
-0.004041646607220173,
-0.03925769031047821,
-0.01362384483218193,
-0.016851533204317093,
0.008186504244804382,
0.04563800245523453,
-0.044474534690380096,
-0.02173059619963169,
-0.028711408376693726,
0.03655543923377991,
0.16513751447200775,
-0.04139697179198265,
0.0087870042771101,
-0.054532911628484726,
-0.0020489718299359083,
-0.017133016139268875,
-0.030118830502033234,
-0.01916908659040928,
-0.02385111153125763,
0.016419922932982445,
-0.04120931401848793,
0.032971207052469254,
0.09923262894153595,
0.006455375347286463,
0.03531691059470177,
-0.017968086525797844,
0.02794201858341694,
0.02642200142145157,
-0.044099222868680954,
0.02128021977841854,
0.027829423546791077,
0.0400833785533905,
0.04691406711935997,
-0.015247071161866188,
0.03398454934358597,
0.03550456464290619,
0.009462567046284676,
0.011803578585386276,
-0.013895946554839611,
-0.003246453357860446,
0.05100497230887413,
0.006896367762237787,
-0.040533751249313354,
-0.01864364929497242,
-0.009983313269913197,
0.0023199005518108606,
-0.026722252368927002,
0.044999971985816956,
0.011024805717170238,
-0.019037727266550064,
-0.001069054240360856,
-0.07284816354513168,
0.004196463152766228,
0.03747495636343956,
0.01518139149993658,
0.05190572142601013,
0.0009066143538802862,
0.018202656880021095,
-0.021786892786622047,
-0.02520223706960678,
-0.04229772090911865,
0.03723100200295448,
0.027716830372810364,
0.028017079457640648,
0.018015000969171524,
0.06909503787755966,
0.00035889260470867157,
-0.03193909674882889,
-0.02021057903766632,
-0.07269803434610367,
0.05633440986275673,
0.016710789874196053,
-0.021749360486865044,
-0.05839863047003746,
-0.014233727939426899,
-0.028598815202713013,
0.06628019362688065,
0.04421181604266167,
0.010358626022934914,
-0.03745619207620621,
-0.011869258247315884,
-0.03646161034703255,
-0.06643031537532806,
0.0031127482652664185,
-0.021486641839146614,
0.02991240844130516,
0.013332977890968323,
0.028336096554994583,
-0.018136978149414062,
0.08849869668483734,
-0.018221423029899597,
0.024245189502835274,
-0.010292946361005306,
-0.009823805652558804,
0.01861550100147724,
-0.00725291483104229,
-0.0120193837210536,
-0.03907003253698349,
-0.04515009745955467,
0.0005764566012658179,
-0.01642930507659912,
0.0085618169978261,
-0.06369053572416306,
-0.01900019682943821,
0.013811500743031502,
-0.011325055733323097,
0.013849032111465931,
0.03719346970319748,
-0.04646369069814682,
-0.04173475131392479,
-0.0262531116604805,
-0.010208500549197197,
0.01738635264337063,
-0.035298142582178116,
-0.09060044586658478,
0.005582774057984352,
0.001269025495275855,
0.034397393465042114,
0.006638340186327696,
0.01153147779405117,
-0.015340900048613548,
0.06166384741663933,
0.05179312825202942,
0.023119252175092697,
-0.012610500678420067,
0.05029187723994255,
0.05002915859222412,
0.01574436016380787,
0.02447037771344185,
-0.0037202853709459305,
-0.02784818969666958,
-0.023006657138466835,
-0.029668455943465233,
0.024320252239704132,
-0.016898445785045624,
0.027210159227252007,
0.0015974239213392138,
0.009500098414719105,
-0.006872910540550947,
-0.0032792931888252497,
-0.05351956561207771,
-0.007754894904792309,
-0.03105711191892624,
-0.015200157649815083,
-0.029574627056717873,
0.05108003690838814,
-0.01367075927555561,
-0.02126145549118519,
0.08969969302415848,
0.01628856360912323,
0.03773767501115799,
-0.04484984651207924,
-0.015378430485725403,
0.01255420409142971,
0.030231423676013947,
-0.02189948596060276,
0.014759165234863758,
0.016729556024074554,
-0.05828603729605675,
0.049541253596544266,
0.017893025651574135,
0.04698912799358368,
-0.009898868389427662,
-0.007088715210556984,
0.06429103761911392,
-0.018080681562423706,
0.007670450024306774,
0.07525016367435455,
0.028017079457640648,
0.04353625327348709,
0.019075259566307068,
0.01585695520043373,
-0.034134674817323685,
-0.019009578973054886,
-0.02081107906997204,
-0.002681138925254345,
-0.025052111595869064,
-0.01994786038994789,
0.012338398955762386,
0.035748519003391266,
-0.01588510349392891,
-0.009218613617122173,
0.017780430614948273,
0.02767929807305336,
-0.015547321178019047,
-0.0031221311073750257,
-0.022894063964486122,
-0.02128021977841854,
0.00006879508146084845,
-0.09668050706386566,
-0.029668455943465233,
-0.030306486412882805,
-0.02315678261220455,
-0.027266455814242363,
-0.0047758519649505615,
0.004743012133985758,
0.061100877821445465,
-0.00561092235147953,
0.04057128354907036,
0.03227687627077103,
0.0013065567472949624,
-0.05892406776547432,
-0.017799196764826775,
0.03970806673169136,
0.06275225430727005,
-0.0012185928644612432,
0.028148438781499863,
0.04995409771800041,
0.04856543987989426,
-0.09405332058668137,
0.017611540853977203,
0.08324431627988815,
0.00722945760935545,
-0.027454111725091934,
-0.03865719214081764,
0.029143018648028374,
0.027135096490383148,
0.008622805587947369,
-0.04083400219678879,
0.01749894581735134,
-0.0063287075608968735,
0.03933275118470192,
-0.002584964968264103,
-0.08204331994056702,
0.002559162210673094,
-0.033421579748392105,
-0.00033074416569434106,
-0.024414079263806343,
0.020079219713807106,
-0.004846223164349794,
-0.0027820041868835688,
-0.06380312889814377,
0.006112902890890837,
-0.07239778339862823,
0.010893446393311024,
-0.011906789615750313,
-0.030775627121329308,
-0.0881233811378479,
0.051417816430330276,
-0.030231423676013947,
-0.004506096243858337,
0.041171785444021225,
-0.0454128161072731,
-0.10703913122415543,
-0.024245189502835274,
-0.0031854650005698204,
-0.021749360486865044,
-0.008815152570605278,
0.015875719487667084,
-0.02066095545887947,
0.019610079005360603,
0.0012174199800938368,
0.015734978020191193,
-0.058698877692222595,
-0.00008034033817239106,
0.010480602271854877,
0.006577352061867714,
0.017039189115166664,
-0.0019821194000542164,
-0.03122600167989731,
0.044099222868680954,
0.05937444046139717,
-0.009021574631333351,
-0.0324832983314991,
0.09570469707250595,
-0.045525409281253815,
-0.020848611369729042,
0.007220074534416199,
0.0014906944707036018,
-0.019891563802957535,
-0.0298185795545578,
-0.015247071161866188,
0.025934096425771713,
0.03922015801072121,
0.011315672658383846,
0.011296907439827919,
-0.012469759210944176,
-0.026459533721208572,
-0.029330674558877945,
-0.01304211001843214,
0.04924100264906883,
-0.06350287795066833,
-0.007065258454531431,
-0.0033660843037068844,
0.03312132880091667,
-0.024076297879219055,
0.030738096684217453,
-0.014017922803759575,
-0.008890215307474136,
0.027097564190626144,
0.01566929742693901,
-0.03025018982589245,
-0.020604657009243965,
-0.01892513409256935,
-0.05637194216251373,
0.053444504737854004,
0.010255414992570877,
0.01790240779519081,
0.0005503606516867876,
0.07896575331687927,
-0.051755595952272415,
0.03426603227853775,
-0.03880731388926506,
-0.016185352578759193,
-0.02805461175739765,
0.009077872149646282,
0.04387403279542923,
-0.018634267151355743,
-0.014524594880640507,
0.03160131350159645,
-0.02439531497657299,
0.024977048859000206,
0.03285861015319824,
0.006094137206673622,
-0.051230158656835556,
0.029255611822009087,
0.05235609784722328,
-0.01923476718366146,
-0.004841531626880169,
0.007041801232844591,
-0.01748018153011799,
0.0003542012127581984,
0.048903223127126694,
0.02073601633310318,
-0.004855605773627758,
0.020360704511404037,
-0.035654690116643906,
-0.03713717311620712,
0.012131977826356888,
0.008566508069634438,
-0.002723361598327756,
0.019872797653079033,
0.0605003796517849,
-0.02047329768538475,
-0.04879062995314598,
-0.028711408376693726,
-0.028711408376693726,
-0.012188274413347244,
0.01597893051803112,
-0.027923252433538437,
0.013895946554839611,
0.013680141419172287,
-0.07416175305843353,
-0.02315678261220455,
0.029837345704436302,
-0.053894877433776855,
-0.061100877821445465,
0.02323184534907341,
-0.03499789163470268,
0.011296907439827919,
-0.03141365945339203,
-0.08932438492774963,
0.009303059428930283,
-0.01361446175724268,
-0.0013124210527166724,
-0.0258027371019125,
-0.02128021977841854,
0.03327145427465439,
-0.059599630534648895,
0.03801915794610977,
-0.0418098159134388,
0.016541900113224983,
0.02856128290295601,
0.006633649114519358,
-0.01122184470295906,
0.028167204931378365,
0.05899912863969803,
-0.04394909739494324,
-0.00028089797706343234,
0.022668877616524696,
0.026234345510601997,
0.010602578520774841,
0.03982065990567207,
-0.00834601279348135,
-0.04342366009950638,
-0.0017428575083613396,
0.02867387793958187,
-0.020698485895991325,
0.005080793518573046,
0.04702666029334068,
0.0035044807009398937,
0.04075894132256508,
0.027547938749194145,
0.023081719875335693,
-0.028636345639824867,
-0.0213552825152874,
-0.0289365965873003,
0.03933275118470192,
0.006619574502110481,
-0.018746860325336456,
-0.04113425314426422,
-0.02482692338526249,
-0.061738912016153336,
-0.03895743936300278,
-0.024620501324534416,
-0.014271259307861328,
-0.02011675201356411,
-0.03818805143237114,
0.049803972244262695,
0.007271680049598217,
0.04199747368693352,
0.050779785960912704,
-0.02430148608982563,
-0.040533751249313354,
-0.007750203832983971,
0.011343820951879025,
-0.006366238929331303,
-0.004229302983731031,
0.022105908021330833,
-0.00881984457373619,
-0.024808157235383987,
-0.024357782676815987,
-0.02242492325603962,
-0.005953394807875156,
-0.02546495571732521,
-0.01366137620061636,
-0.016157204285264015,
0.006206730846315622,
0.007224766071885824,
0.04563800245523453,
0.021336516365408897,
-0.019459955394268036,
0.022218501195311546,
-0.05438278615474701,
0.05543366074562073,
-0.030906986445188522,
0.015556704252958298,
0.022312330082058907,
-0.011587774381041527,
0.023175548762083054,
0.0017123634461313486,
-0.016419922932982445,
0.03944534808397293,
-0.025934096425771713,
0.008055144920945168,
-0.018465375527739525,
-0.005108941812068224,
0.01335174310952425,
0.023081719875335693,
-0.00029409254784695804,
-0.027716830372810364,
-0.027904486283659935,
0.043648846447467804,
0.00444041658192873,
0.01072455570101738,
-0.0342848002910614,
0.016804618760943413,
0.00940627045929432,
-0.03623642399907112,
0.010124055668711662,
-0.015387813560664654,
0.04575059562921524,
0.027191393077373505,
0.009227996692061424,
-0.0015458185225725174,
0.03807545453310013,
-0.023644689470529556,
0.0037062112241983414,
0.013417422771453857,
-0.012835688889026642,
0.0009851953946053982,
0.003952510189265013,
-0.027435345575213432,
0.002267122268676758,
-0.00441695936024189,
0.0131359389051795,
-0.021955782547593117,
0.004911902826279402,
0.10906582325696945,
-0.013773969374597073,
-0.003344972850754857,
-0.016448071226477623,
-0.016222884878516197,
-0.0391826294362545,
0.012460376136004925,
0.010283563286066055,
0.02964968979358673,
-0.019741438329219818,
-0.023381970822811127,
-0.0036944826133549213,
0.0018085372867062688,
0.01494682114571333,
-0.0037296682130545378,
-0.026271877810359,
0.029424501582980156,
0.0006503462209366262,
-0.006314633414149284,
0.04608837887644768,
-0.021036267280578613,
-0.012338398955762386,
-0.004128437954932451,
0.0019281681161373854,
0.012723094783723354,
0.030681800097227097,
-0.012648032046854496,
-0.07626350224018097,
-0.004041646607220173,
0.0029438575729727745,
0.019291063770651817,
-0.006445992738008499,
-0.0756630077958107,
0.022293563932180405,
0.0022518751211464405,
0.033590469509363174,
0.048828158527612686,
0.006338090170174837,
0.00720600038766861,
0.01504065003246069,
0.028880298137664795,
0.0018413771176710725,
-0.004524861462414265,
0.0032558361999690533,
-0.04556294158101082,
-0.002423111582174897,
-0.03726853430271149,
0.010809000581502914,
-0.0373811274766922,
0.03177020698785782,
-0.0022178625222295523,
0.020698485895991325,
-0.04469972103834152,
0.058961596339941025,
-0.020754782482981682,
0.05108003690838814,
-0.03709964454174042,
0.04616343975067139,
0.027810659259557724,
-0.03756878525018692,
-0.021073797717690468,
-0.017273759469389915,
-0.01041492260992527,
-0.02242492325603962,
-0.015772508457303047,
-0.05547119304537773,
0.0009271392482332885,
0.05145534873008728,
-0.010396157391369343,
-0.052543755620718,
0.026065455749630928,
0.009561087004840374,
0.011644070968031883,
-0.018577970564365387,
0.01495620422065258,
-0.006047223228961229,
0.04582566022872925,
-0.012685563415288925,
0.0050432621501386166,
0.01450582966208458,
0.009636148810386658,
0.025615079328417778,
0.04057128354907036,
0.025258533656597137,
0.010912211611866951,
0.03287737816572189,
0.03353417292237282,
-0.005700059235095978,
-0.005972160492092371,
0.06098828464746475,
0.0002725413942243904,
0.029762282967567444,
0.014702868647873402,
0.014383852481842041,
-0.022668877616524696,
0.0409465953707695,
-0.03026895597577095,
0.004735975060611963,
-0.008388235233724117,
0.050517067313194275,
0.003645222866907716,
0.004501404706388712,
0.05595909804105759,
-0.021223923191428185,
-0.016748322173953056,
-0.058248504996299744,
0.028955360874533653,
0.030944518744945526,
0.01838093064725399,
0.014965587295591831,
0.01878439262509346,
0.006089445669203997,
-0.02234986051917076,
-0.07179728895425797,
-0.01673893816769123,
-0.02037947066128254,
0.029086720198392868,
-0.004724246449768543,
-0.004112017806619406,
-0.019384892657399178,
0.04533775523304939,
0.008148972876369953,
0.03197662904858589,
-0.026684720069169998,
-0.0051042502745985985,
-0.0004521343216765672,
-0.00957046914845705,
-0.02989364229142666,
-0.020360704511404037,
-0.030100064352154732,
-0.05776059627532959,
0.0060003092512488365,
-0.012629266828298569,
-0.04515009745955467,
0.03141365945339203,
-0.00430436572059989,
0.04319847375154495,
-0.01717054843902588,
0.004822765942662954,
0.00439350213855505,
-0.013051493093371391,
-0.00992701668292284,
-0.018559204414486885,
-0.004658566787838936,
0.045975785702466965,
-0.03550456464290619,
0.0020102676935493946,
0.018868837505578995,
-0.008716633543372154,
0.02341950125992298,
-0.0019070567796006799,
-0.017442649230360985,
0.03516678512096405,
0.022743938490748405,
0.03026895597577095,
0.013342360034584999,
-0.030419079586863518,
-0.03997078537940979,
0.05982481688261032,
-0.0048509142361581326,
0.04034609720110893,
-0.03709964454174042,
-0.0006802539573982358,
-0.0050198049284517765,
0.0032018849160522223,
-0.023888641968369484,
-0.0031268224120140076,
-0.021205157041549683,
0.014327555894851685,
0.028692642226815224,
0.050779785960912704,
-0.031732674688100815,
0.0032487991265952587,
0.007473410572856665,
-0.005573390983045101,
0.03569222241640091,
-0.000655624084174633,
0.0063287075608968735,
-0.0011359067866578698,
0.02518347091972828,
0.013605079613626003,
0.0025755821261554956,
-0.017771048471331596,
0.08437025547027588,
-0.0027702755760401487,
0.05423266068100929,
0.00905910599976778,
-0.04203500226140022,
-0.0062208049930632114,
-0.01740511879324913,
0.022556282579898834,
0.019028345122933388,
-0.024095064029097557,
0.010743320919573307,
0.03730606660246849,
-0.01450582966208458,
0.028974127024412155,
0.05126769095659256,
0.014890524558722973,
-0.04496243968605995,
0.016138438135385513,
0.0072153834626078606,
-0.03899497166275978,
-0.027566704899072647,
0.02270640805363655,
0.02099873684346676,
-0.047927409410476685,
-0.029612159356474876,
-0.03302750363945961,
0.03407837823033333,
0.010349242947995663,
-0.037887800484895706,
0.006450684275478125,
-0.03437862917780876,
-0.0051277074962854385,
0.023025423288345337,
-0.011193696409463882,
-0.03595494106411934,
0.011296907439827919,
0.005512402858585119,
-0.01068702433258295,
-0.017301907762885094,
0.04676394164562225,
-0.005291906651109457,
0.031807735562324524,
0.008482063189148903,
-0.020097985863685608,
-0.001620881026610732,
-0.03873225301504135,
-0.01797747053205967,
-0.025708908215165138,
-0.01900019682943821,
-0.05066719278693199,
0.011934938840568066,
-0.033609237521886826,
0.007848722860217094,
-0.00011823810928035527,
-0.008791696280241013,
-0.03766261041164398,
-0.0347164086997509,
-0.0015305713750422,
0.017658455297350883,
0.005704750306904316,
-0.0014508174499496818,
0.013905329629778862,
0.005709441844373941,
0.013323594816029072,
0.02822350151836872,
-0.01683276705443859,
-0.011981852352619171,
0.04301081597805023,
-0.016607578843832016,
-0.03302750363945961,
-0.03768137842416763,
-0.04034609720110893,
-0.007783043663948774,
-0.04796494171023369,
-0.0051042502745985985,
-0.013145321048796177,
-0.03071933053433895,
0.006047223228961229,
0.05922431871294975,
-0.01687968149781227,
0.010480602271854877,
0.0038774474523961544,
-0.02535236068069935,
-0.013286063447594643,
-0.007825266569852829,
0.0453752838075161,
-0.057798128575086594,
-0.03186403214931488,
0.027435345575213432,
-0.03869472071528435,
0.008805770426988602,
0.013736438937485218,
-0.0019035382429137826,
-0.019253533333539963,
0.001552855595946312,
0.0030259571503847837,
0.017921173945069313,
-0.01019911840558052,
0.011362587101757526,
0.019741438329219818,
0.004407576285302639,
0.008097367361187935,
0.03250206634402275,
0.009152933955192566,
-0.02054836042225361,
0.0028664495330303907,
0.08174306899309158,
0.033252689987421036,
-0.01018973533064127,
-0.010095907375216484,
-0.005113633349537849,
0.03587987646460533,
0.021918252110481262,
-0.02722892351448536,
0.03409714251756668,
-0.047401972115039825,
0.015556704252958298,
-0.032089222222566605,
-0.02385111153125763,
-0.08114256709814072,
-0.037869032472372055,
0.010649492964148521,
0.009589235298335552,
0.03768137842416763,
0.026215579360723495,
0.025164704769849777,
0.0022413195110857487,
-0.0035162093117833138,
-0.028279798105359077,
-0.042335253208875656,
0.003685099771246314,
0.011249992996454239,
0.029856111854314804,
0.009870719164609909,
-0.006769699510186911,
0.0068494537845253944,
-0.047927409410476685,
-0.015566087327897549,
-0.021055033430457115,
-0.02820473723113537,
-0.015969548374414444,
0.017470797523856163,
-0.014852993190288544,
-0.02599039301276207,
0.03925769031047821,
-0.009199848398566246,
-0.013164087198674679,
0.04796494171023369,
-0.021693063899874687,
0.0329149104654789,
0.016889063641428947,
0.009870719164609909,
-0.03717470541596413,
-0.004236340057104826,
0.03616136312484741,
-0.014824844896793365,
0.05956209823489189,
-0.01304211001843214,
0.04672640934586525,
-0.0009429727215319872,
-0.007492176257073879,
-0.00025832056417129934,
0.016110289841890335,
0.012798157520592213,
0.005606230814009905,
-0.02689114212989807,
-0.03606753423810005,
0.03989572077989578,
0.0489782840013504,
-0.020266875624656677,
-0.016326095908880234,
0.060575440526008606,
0.011897407472133636,
0.021749360486865044,
0.0031526251696050167,
0.001226802822202444,
-0.0037625080440193415,
0.02413259632885456,
0.0072763715870678425,
0.006877602078020573,
-0.0418473482131958,
0.007126246578991413,
0.0177898146212101,
0.021205157041549683,
0.00776427797973156,
0.024883219972252846,
-0.004778197500854731,
0.019028345122933388,
-0.005390426144003868,
-0.01854982227087021,
0.05483315885066986,
0.001046183635480702,
-0.029349438846111298,
0.017724134027957916,
-0.01940365694463253,
-0.05089237913489342,
0.035467032343149185,
0.004581158515065908,
-0.013849032111465931,
-0.031019579619169235,
-0.07194741070270538,
-0.01904711127281189,
0.001341742230579257,
0.029762282967567444,
-0.04226019233465195,
-0.005137090105563402,
-0.023719752207398415,
-0.001671313657425344,
-0.012394696474075317,
0.03124476782977581,
0.00736550847068429,
0.00912009458988905,
-0.012469759210944176,
0.0037367052864283323,
0.0008532495703548193,
-0.036987051367759705,
-0.004907211288809776,
-0.022575048729777336,
-0.03302750363945961,
-0.016935978084802628,
-0.014806079678237438,
-0.017067337408661842,
-0.013473719358444214,
0.028429923579096794,
0.011597157455980778,
-0.008758855983614922,
0.02368221990764141,
-0.00807391107082367,
-0.08864881843328476,
0.03314009681344032,
0.020886141806840897,
0.016579430550336838,
0.054157596081495285,
0.03390948846936226,
-0.017968086525797844,
-0.028167204931378365,
0.005746973212808371,
-0.002081811660900712,
-0.0213740486651659,
0.029330674558877945,
0.03310256451368332,
-0.004360662307590246,
-0.001544645638205111,
-0.02234986051917076,
-0.010668258182704449,
0.011203078553080559,
0.023625923320651054,
0.0020360704511404037,
0.018540438264608383,
-0.007412422448396683,
0.026909908279776573,
-0.007815883494913578,
0.013276680372655392,
-0.013445571064949036,
-0.009589235298335552,
0.03452875092625618,
0.0427480973303318,
-0.012723094783723354,
-0.025127174332737923,
0.053369440138339996,
-0.018606118857860565,
-0.014777930453419685,
-0.009645531885325909,
0.025389892980456352,
-0.01414928212761879,
-0.013961626216769218,
-0.08557125926017761,
-0.054345253854990005,
0.000984609010629356,
-0.03287737816572189,
0.023832345381379128,
0.0017064991407096386,
-0.019253533333539963,
-0.028336096554994583
] |
Transformer-based large language models (LLMs) are constrained by the fixed
context window of the underlying transformer architecture, hindering their
ability to produce long and logically consistent code. Memory-augmented LLMs
are a promising solution, but current approaches cannot handle long code
generation tasks since they (1) only focus on reading memory and reduce its
evolution to the concatenation of new memories or (2) use very specialized
memories that cannot adapt to other domains. This paper presents L2MAC, the
first practical LLM-based stored-program automatic computer for long and
consistent code generation. Its memory has two components: the instruction
registry, which is populated with a prompt program to solve the user-given
task, and a file store, which will contain the final and intermediate outputs.
Each instruction is executed by a separate LLM instance, whose context is
managed by a control unit capable of precise memory reading and writing to
ensure effective interaction with the file store. These components enable L2MAC
to generate virtually unbounded code structures, bypassing the constraints of
the finite context window while producing code that fulfills complex
user-specified requirements. We empirically show that L2MAC succeeds in
generating large code bases for system design tasks where other coding methods
fall short in implementing user requirements and provide insight into the
reasons for this performance gap. | [
-0.004500671289861202,
0.010339380241930485,
-0.030765503644943237,
0.018507957458496094,
-0.013473942875862122,
0.028706984594464302,
-0.025319784879684448,
0.044763434678316116,
-0.019855352118611336,
0.058274805545806885,
0.04221835732460022,
-0.0036117653362452984,
0.010189669206738472,
0.015401465818285942,
0.03907443583011627,
-0.028650842607021332,
-0.0003982532653026283,
-0.008889059536159039,
0.02206358127295971,
-0.036042798310518265,
-0.0007251601200550795,
0.005169690120965242,
-0.04517513886094093,
0.02009863220155239,
0.04431430250406265,
-0.0006023507448844612,
0.0011684434721246362,
-0.02848241850733757,
0.013539441861212254,
0.033422864973545074,
0.061044447124004364,
0.0418815053999424,
-0.03907443583011627,
-0.03445212543010712,
-0.009352226741611958,
-0.01586931012570858,
0.04094581678509712,
0.01865766942501068,
-0.023317407816648483,
0.011246999725699425,
0.033965565264225006,
-0.020398052409291267,
-0.014737125486135483,
-0.013548798859119415,
0.04772021621465683,
0.002250335644930601,
-0.0101522421464324,
-0.046148255467414856,
-0.03138305991888046,
-0.04367803409695625,
-0.005740461405366659,
-0.021202746778726578,
0.05943506211042404,
-0.024440236389636993,
0.016019022092223167,
0.023317407816648483,
0.036360934376716614,
0.0060492390766739845,
0.058536797761917114,
0.029043832793831825,
-0.007410668767988682,
0.00934754777699709,
-0.03789546713232994,
-0.014652913436293602,
0.017544196918606758,
-0.05486889183521271,
-0.024515090510249138,
0.05569230020046234,
0.051537834107875824,
0.01949978992342949,
-0.04772021621465683,
-0.040796104818582535,
-0.03542524203658104,
-0.004107681103050709,
0.028763126581907272,
0.039149291813373566,
0.031064923852682114,
0.05584200844168663,
0.03271174058318138,
0.0027439123950898647,
0.015916096046566963,
0.032187752425670624,
0.03576209023594856,
0.004341603722423315,
0.07814887166023254,
-0.00010541138180997223,
0.0037638151552528143,
-0.04057154059410095,
0.044164590537548065,
-0.03215032443404198,
-0.015644745901226997,
0.05075185373425484,
0.03458312153816223,
0.013567511923611164,
-0.06531119346618652,
0.03888729587197304,
-0.03662292659282684,
-0.025637919083237648,
-0.05209924653172493,
0.021951299160718918,
-0.02569406107068062,
-0.0104703763499856,
-0.017590980976819992,
0.023111555725336075,
-0.00293338974006474,
-0.002294780919328332,
0.007700732909142971,
0.03506968170404434,
0.0041497875936329365,
0.07451838999986649,
-0.01848924346268177,
-0.01800268515944481,
-0.030933927744627,
0.00251934677362442,
-0.039411284029483795,
-0.025095218792557716,
-0.03334800899028778,
-0.04786992445588112,
-0.018582813441753387,
-0.03959842026233673,
-0.0063159107230603695,
-0.0019064693478867412,
-0.017216704785823822,
-0.04622311145067215,
-0.013661080971360207,
0.08945201337337494,
0.017095064744353294,
-0.05861165374517441,
-0.0006158013129606843,
0.04468857869505882,
-0.05445718765258789,
0.009927676059305668,
0.022194579243659973,
-0.013586225919425488,
0.03862530365586281,
0.02479579858481884,
-0.022699851542711258,
0.054270047694444656,
-0.009441116824746132,
0.014634199440479279,
-0.011321854777634144,
0.0009742877446115017,
-0.03770832717418671,
-0.016805000603199005,
0.004874947480857372,
-0.01803075522184372,
-0.04292948171496391,
0.08323902636766434,
-0.0022772366646677256,
0.0240472462028265,
-0.04723365604877472,
-0.025263642892241478,
-0.03372228518128395,
0.018021399155259132,
0.020061204209923744,
0.02934325486421585,
-0.04098324477672577,
0.036847490817308426,
-0.0031369023490697145,
0.03692234680056572,
0.039897844195365906,
-0.007588449865579605,
-0.003459715750068426,
0.02318640984594822,
0.035406529903411865,
0.01074172742664814,
0.02490808069705963,
0.02399110421538353,
-0.06542348116636276,
0.03639836236834526,
0.01819918118417263,
0.05505602806806564,
0.0321316123008728,
-0.011948768049478531,
0.04173179715871811,
-0.010956935584545135,
0.027864864096045494,
0.018882233649492264,
0.0030152625404298306,
0.040908388793468475,
0.021258888766169548,
-0.023130269721150398,
0.03306730091571808,
0.04420201852917671,
0.049891017377376556,
0.04786992445588112,
0.060033902525901794,
0.03254331648349762,
0.013885647058486938,
-0.057526253163814545,
-0.01592545211315155,
-0.00970311090350151,
0.03922414407134056,
-0.03216904029250145,
0.00016038320609368384,
-0.001104699564166367,
-0.054045483469963074,
0.02837013639509678,
-0.020323198288679123,
0.07541665434837341,
-0.016748860478401184,
-0.047645360231399536,
0.0013286805478855968,
0.01336166076362133,
-0.016150018200278282,
-0.01961207203567028,
-0.021726733073592186,
0.04038440063595772,
0.009459830820560455,
-0.022381717339158058,
0.021146604791283607,
0.017151206731796265,
-0.03357257694005966,
-0.060146186500787735,
0.036903634667396545,
-0.028931550681591034,
-0.008318288251757622,
0.018180467188358307,
-0.007490202318876982,
-0.052922654896974564,
0.034283701330423355,
0.006390766240656376,
0.061905283480882645,
-0.024346666410565376,
0.003833991941064596,
-0.017319630831480026,
-0.0053521497175097466,
-0.023897536098957062,
0.007897228002548218,
0.0025380605366081,
0.015111401677131653,
0.04120780900120735,
0.015279825776815414,
-0.009731180965900421,
0.038400739431381226,
-0.011668060906231403,
0.03288016468286514,
-0.012135906144976616,
-0.013417801819741726,
0.022475285455584526,
0.0046293288469314575,
0.011424780823290348,
-0.031177207827568054,
-0.015036546625196934,
0.04337861016392708,
-0.015626031905412674,
-0.015401465818285942,
0.009417724795639515,
0.04367803409695625,
0.005267937667667866,
0.02500165067613125,
0.050901561975479126,
0.00598374055698514,
-0.009539364837110043,
-0.08204134553670883,
0.03752119094133377,
0.0393364280462265,
-0.0543074756860733,
0.012809602543711662,
-0.010629444383084774,
0.02822042629122734,
0.015223684720695019,
-0.027284735813736916,
0.07085048407316208,
-0.015373394824564457,
0.016178088262677193,
0.05370863527059555,
0.022755993530154228,
0.00953000783920288,
-0.03302987292408943,
0.014924263581633568,
-0.06677087396383286,
-0.021820303052663803,
0.03087778575718403,
0.01765647903084755,
-0.05146297812461853,
-0.0365106426179409,
0.031027497723698616,
0.004212946631014347,
-0.006170878652483225,
0.03937385603785515,
-0.050789281725883484,
-0.01615937426686287,
0.008486713282763958,
0.014390920288860798,
-0.0668082982301712,
0.013951145112514496,
-0.03252460062503815,
-0.05007815733551979,
-0.007237566169351339,
-0.01687050051987171,
0.020323198288679123,
-0.012229475192725658,
0.03767089918255806,
0.029399394989013672,
-0.027209879830479622,
0.032730452716350555,
0.026704607531428337,
0.017001496627926826,
-0.017151206731796265,
-0.02131502889096737,
-0.019256509840488434,
0.008177935145795345,
-0.061531007289886475,
-0.020341912284493446,
0.0153078967705369,
-0.037970319390296936,
0.06149357929825783,
-0.01210783515125513,
0.035930514335632324,
0.08458641916513443,
-0.00918848067522049,
0.011256356723606586,
0.005427004769444466,
0.026966599747538567,
0.05269809067249298,
0.025637919083237648,
-0.04311661794781685,
-0.00018743050168268383,
-0.004750968422740698,
0.0019626107532531023,
0.017160564661026,
-0.11033662408590317,
0.024702228605747223,
0.0512009859085083,
-0.018966445699334145,
0.037914179265499115,
0.037914179265499115,
-0.02356068603694439,
-0.01831146329641342,
-0.07332070916891098,
-0.015588603913784027,
-0.012051694095134735,
-0.0318509042263031,
0.022905703634023666,
-0.030522223562002182,
-0.02724730782210827,
0.05445718765258789,
-0.03506968170404434,
-0.0045731873251497746,
-0.03681006282567978,
-0.04356575012207031,
-0.021127890795469284,
0.014203782193362713,
-0.013240020722150803,
-0.02591862715780735,
-0.071748748421669,
0.04607339948415756,
-0.010554589331150055,
0.004865590482950211,
0.0011327703250572085,
-0.04337861016392708,
0.06358952820301056,
0.04798220843076706,
0.020079918205738068,
-0.013689151965081692,
0.022456571459770203,
0.016486866399645805,
-0.07403182983398438,
0.04846876859664917,
0.013539441861212254,
-0.0586865097284317,
0.01381079200655222,
-0.0027415731456130743,
-0.051275838166475296,
-0.0643380805850029,
-0.011948768049478531,
-0.022419145330786705,
-0.017815547063946724,
-0.010105457156896591,
0.024664802476763725,
0.04738336801528931,
0.019630786031484604,
0.003726387396454811,
0.07347042113542557,
0.010872723534703255,
0.07470552623271942,
0.0007356866844929755,
0.01589738205075264,
0.045025426894426346,
-0.023130269721150398,
0.05045243352651596,
0.018302105367183685,
0.011555777862668037,
-0.0337597131729126,
-0.010170956142246723,
-0.01800268515944481,
-0.024402808398008347,
0.0030971355736255646,
0.042517777532339096,
0.031177207827568054,
-0.06890425086021423,
-0.04962902516126633,
-0.019078729674220085,
0.03664163872599602,
0.00794869102537632,
0.028557274490594864,
-0.00001922551564348396,
-0.007667983882129192,
-0.059547342360019684,
-0.03744633495807648,
-0.00773348193615675,
-0.026891745626926422,
0.011340568773448467,
-0.02473965659737587,
-0.0568525567650795,
0.011340568773448467,
0.02462737448513508,
-0.008215362206101418,
-0.012248188257217407,
0.0034667332656681538,
-0.06583518534898758,
-0.035612381994724274,
-0.03907443583011627,
0.06332753598690033,
-0.001173121971078217,
-0.051163557916879654,
0.010638801380991936,
-0.05760110914707184,
0.006081988103687763,
0.03327315300703049,
0.0009257487836293876,
0.011565134860575199,
0.06111930310726166,
-0.00653111981227994,
0.024178242310881615,
0.02554435096681118,
0.0026199333369731903,
-0.07287157326936722,
-0.029399394989013672,
0.04457629472017288,
0.02447766438126564,
0.0157476719468832,
-0.022512713447213173,
-0.008103080093860626,
-0.04925474897027016,
-0.060894738882780075,
0.003883115481585264,
-0.017141850665211678,
0.02591862715780735,
0.020136060193181038,
-0.004411780741065741,
0.03200061619281769,
-0.01978049799799919,
-0.05659056082367897,
-0.0010678567923605442,
-0.025825057178735733,
-0.010011888109147549,
0.02709759771823883,
-0.08892802894115448,
-0.0455494150519371,
0.0277900081127882,
-0.06400123238563538,
-0.02784615010023117,
0.0430791899561882,
-0.031925760209560394,
0.026536183431744576,
-0.040534112602472305,
-0.03819488734006882,
-0.025675347074866295,
0.05513088405132294,
0.023485831916332245,
0.020660046488046646,
-0.007766230963170528,
0.005829351954162121,
0.012585037387907505,
-0.03731533885002136,
-0.04835648462176323,
0.006685508415102959,
0.006512405816465616,
0.029773671180009842,
-0.02378525212407112,
0.010676228441298008,
0.002673735609278083,
-0.018264679238200188,
-0.03009180724620819,
0.039299000054597855,
-0.08353845030069351,
0.021389884874224663,
-0.023429689928889275,
0.01955593191087246,
-0.02537592686712742,
-0.027546728029847145,
-0.0019555932376533747,
0.004746289923787117,
0.023766538128256798,
-0.01121892873197794,
0.010068030096590519,
0.01718863472342491,
-0.023205123841762543,
-0.004187215119600296,
0.032187752425670624,
-0.014746482484042645,
-0.005979062523692846,
0.02243785746395588,
-0.023860108107328415,
-0.021502166986465454,
-0.0019801550079137087,
0.017609694972634315,
0.037165626883506775,
-0.003950953017920256,
-0.0055954293347895145,
0.008528819307684898,
0.07807401567697525,
0.013080953620374203,
0.04824420064687729,
-0.0574888251721859,
0.011836485005915165,
-0.020079918205738068,
-0.023167697712779045,
-0.017647122964262962,
-0.020117346197366714,
-0.014381563290953636,
-0.018891591578722,
-0.024327952414751053,
-0.027696438133716583,
0.03099006973206997,
-0.019743070006370544,
0.016627220436930656,
-0.007625877391546965,
-0.002169632352888584,
0.02790229022502899,
0.0053521497175097466,
0.05486889183521271,
-0.019705642014741898,
0.026386471465229988,
0.05898592993617058,
-0.014755839481949806,
0.031008783727884293,
-0.03724048286676407,
0.004893661476671696,
0.053034938871860504,
-0.010694942437112331,
-0.05550516024231911,
0.0016772252274677157,
-0.022456571459770203,
0.0430791899561882,
0.023710398003458977,
-0.014793266542255878,
0.005763853434473276,
0.029099974781274796,
-0.029698817059397697,
0.016720788553357124,
0.049516741186380386,
-0.010002531111240387,
-0.0104703763499856,
-0.0008625896880403161,
-0.0500033013522625,
-0.016028378158807755,
-0.00366088910959661,
-0.04386517032980919,
-0.027022741734981537,
-0.013268091715872288,
0.009300763718783855,
-0.017647122964262962,
-0.007841086015105247,
0.017319630831480026,
-0.05576715245842934,
-0.03768961504101753,
-0.04431430250406265,
-0.016346512362360954,
0.03473282977938652,
-0.0003947444201912731,
0.015495034866034985,
0.002154427347704768,
0.0006350999465212226,
0.05550516024231911,
0.05793795734643936,
-0.015738314017653465,
0.011022434569895267,
-0.00832296721637249,
-0.00008450455061392859,
-0.0013579208170995116,
0.03357257694005966,
0.030578365549445152,
0.051013845950365067,
0.015364037826657295,
0.025637919083237648,
-0.035181961953639984,
0.008383787237107754,
-0.008290218189358711,
-0.03222518041729927,
0.009731180965900421,
0.03306730091571808,
0.007092534098774195,
0.03944871202111244,
-0.03194447234272957,
-0.006540476810187101,
0.009965104050934315,
0.00432756869122386,
-0.015850597992539406,
0.014596771448850632,
-0.03477025777101517,
-0.029848527163267136,
0.012201404199004173,
0.008860989473760128,
0.02575020305812359,
-0.04146980494260788,
0.02367297001183033,
-0.06516148895025253,
-0.01114407368004322,
0.047158800065517426,
0.004294819198548794,
-0.040796104818582535,
-0.02752801403403282,
-0.03851301968097687,
0.09064969420433044,
0.011162787675857544,
0.014372206293046474,
0.0057825674302875996,
0.007485523819923401,
-0.014690340496599674,
0.021820303052663803,
-0.007658626884222031,
0.011901983059942722,
-0.08331388235092163,
0.027453159913420677,
-0.033535148948431015,
-0.014652913436293602,
0.009946390055119991,
0.03888729587197304,
-0.00824811216443777,
0.012631821446120739,
-0.034321129322052,
-0.03224389627575874,
0.0655357614159584,
-0.011901983059942722,
-0.043154045939445496,
-0.02303669974207878,
-0.004945124499499798,
-0.039673276245594025,
0.016664648428559303,
-0.020229628309607506,
-0.016543008387088776,
-0.00902941357344389,
0.014372206293046474,
0.021184032782912254,
-0.009338190779089928,
0.0069896080531179905,
-0.022849561646580696,
-0.038775015622377396,
0.012510182335972786,
0.009244621731340885,
0.03319830074906349,
-0.0061849141493439674,
-0.0068773250095546246,
0.033217012882232666,
-0.00324684614315629,
0.06987736374139786,
0.042031217366456985,
0.029530392959713936,
0.007462131790816784,
-0.0024140814784914255,
0.055018600076436996,
-0.03334800899028778,
0.03162634000182152,
0.037783183157444,
0.011471565812826157,
-0.012004909105598927,
0.029418108984827995,
0.010760440491139889,
0.01412892621010542,
0.0021205085795372725,
-0.01935007981956005,
0.033909425139427185,
-0.04637281969189644,
-0.0314953438937664,
0.05067699775099754,
-0.02666717953979969,
0.03254331648349762,
-0.022157151252031326,
-0.039785560220479965,
-0.018994517624378204,
0.006414158269762993,
0.008636423386633396,
-0.022999271750450134,
0.020884612575173378,
0.026049623265862465,
-0.007158032152801752,
0.034283701330423355,
-0.024234384298324585,
0.004779039416462183,
0.012912528589367867,
0.002016413025557995,
0.015962880104780197,
-0.0013123059179633856,
-0.051912110298871994,
-0.03200061619281769,
-0.04659738764166832,
0.013997930102050304,
0.0006696035270579159,
0.0026877708733081818,
-0.01002124510705471,
0.0043626572005450726,
0.006058596074581146,
0.02387882210314274,
-0.018769951537251472,
0.005263259168714285,
0.03986041620373726,
-0.022269433364272118,
0.011855199001729488,
0.007429382763803005,
-0.01713249273598194,
-0.030428655445575714,
-0.005670284386724234,
0.023953676223754883,
0.011527706868946552,
-0.01785297505557537,
-0.0006859780987724662,
0.03288016468286514,
0.02116531878709793,
0.07085048407316208,
0.010629444383084774,
0.03488254174590111,
0.03458312153816223,
-0.026910459622740746,
-0.00482348445802927,
0.038400739431381226,
-0.05198696255683899,
0.04233063757419586,
0.004458565264940262,
0.0163839403539896,
0.008907773531973362,
-0.07466810196638107,
-0.03600537031888962,
-0.011920697055757046,
-0.0009894927497953176,
0.008435250259935856,
0.006203628145158291,
-0.014456418342888355,
0.017300916835665703,
-0.05936020612716675,
-0.034115277230739594,
0.025244928896427155,
0.019799210131168365,
0.009417724795639515,
0.03735276311635971,
0.023897536098957062,
-0.000657322583720088,
-0.016468152403831482,
0.06591004133224487,
0.006222341675311327,
0.05232381448149681,
-0.038662731647491455,
-0.00822471920400858,
-0.04158208519220352,
0.00743873929604888,
0.024982936680316925,
0.002750930143520236,
0.01972435601055622,
0.025787631049752235,
-0.011855199001729488,
-0.003260881407186389,
-0.028519846498966217,
-0.02752801403403282,
0.03611765429377556,
0.0355936661362648,
0.013848219066858292,
0.03836331143975258,
-0.03205675631761551,
0.0009742877446115017,
0.0015392109053209424,
0.03724048286676407,
-0.003686620621010661,
0.018564099445939064,
-0.04083353281021118,
0.0022526748944073915,
-0.03177604824304581,
-0.0153078967705369,
0.00820600613951683,
0.019537217915058136,
-0.0014047053409740329,
0.06231698766350746,
-0.011069218628108501,
0.03744633495807648,
-0.04150722920894623,
-0.030335085466504097,
0.014475132338702679,
-0.004030487034469843,
-0.004131073597818613,
-0.03381585329771042,
0.020323198288679123,
0.0015427196631208062,
0.043154045939445496,
-0.012472754344344139,
0.03770832717418671,
-0.02655489556491375,
-0.023579400032758713,
0.019948922097682953,
0.024178242310881615,
0.04996587336063385,
-0.07178617268800735,
0.034657977521419525,
0.004170840606093407,
0.020229628309607506,
-0.028126856312155724,
0.02704145573079586,
-0.03349772095680237,
0.004081949591636658,
-0.003653871361166239,
0.04345346614718437,
-0.0074995593167841434,
0.006853932980448008,
0.024889366701245308,
0.014746482484042645,
-0.05471917986869812,
-0.017488054931163788,
-0.008636423386633396,
-0.03087778575718403,
0.005871457979083061,
-0.017319630831480026,
0.07159903645515442,
0.0055626798421144485,
0.05894850194454193,
0.030447369441390038,
0.012678606435656548,
-0.018732523545622826,
0.02537592686712742,
0.008449285291135311,
-0.0321316123008728,
0.00743873929604888,
-0.0074761672876775265,
0.03718433901667595,
0.00964696891605854,
-0.004713540896773338,
-0.019219083711504936,
0.043416038155555725,
0.012706677429378033,
0.039523568004369736,
0.008996664546430111,
0.004795413929969072,
-0.03694106265902519,
-0.03666035458445549,
-0.013913718052208424,
-0.0430791899561882,
0.05273551493883133,
0.02142731286585331,
-0.0009000173304229975,
0.017095064744353294,
0.035930514335632324,
-0.06819312274456024,
-0.0002896254591178149,
-0.008327645249664783,
-0.02606833726167679,
-0.02206358127295971,
-0.010030602104961872,
0.034601833671331406,
-0.01875123754143715,
-0.015008475631475449,
-0.04210607334971428,
0.041656941175460815,
0.05700226500630379,
-0.006002454552799463,
0.007728803437203169,
-0.014447061344981194,
0.012285616248846054,
-0.007925298996269703,
0.03789546713232994,
-0.008126472122967243,
-0.03164505213499069,
0.0025006327778100967,
0.004208268132060766,
-0.008561568334698677,
-0.028276566416025162,
0.003960310015827417,
0.013548798859119415,
0.01517689973115921,
-0.008758063428103924,
0.009983818046748638,
-0.02816428430378437,
-0.02314898371696472,
-0.016683362424373627,
-0.058424513787031174,
0.018648311495780945,
-0.0031556161120533943,
-0.01940622180700302,
0.004063236061483622,
-0.0185734573751688,
-0.0039018294773995876,
0.015616674907505512,
0.014044714160263538,
0.011480922810733318,
0.012809602543711662,
-0.020547764375805855,
0.0512009859085083,
-0.0009748725569806993,
-0.005356828216463327,
-0.026854317635297775,
0.003281934419646859,
-0.013043525628745556,
-0.0005924090510234237,
0.02923097088932991,
-0.0153078967705369,
-0.010461020283401012,
0.027116311714053154,
0.034976109862327576,
0.02421567030251026,
0.011770986951887608,
-0.02168930508196354,
0.016543008387088776,
0.006311232224106789,
-0.02110917866230011,
-0.05696483701467514,
-0.013670437969267368,
0.003113510087132454,
-0.02623676136136055,
0.051650114357471466,
-0.017965257167816162,
0.018442459404468536,
-0.04030954837799072,
-0.001086570555344224,
0.01875123754143715,
0.01840503141283989,
-0.05898592993617058,
0.015223684720695019,
0.026629751548171043,
0.0048983399756252766,
-0.017731335014104843,
-0.016842428594827652,
0.03336672484874725,
0.032206468284130096,
0.045137710869312286,
0.029642675071954727,
0.04786992445588112,
-0.04704651981592178,
0.06576032936573029,
-0.009749894961714745,
0.01848924346268177,
-0.0032187753822654486,
0.009408367797732353,
-0.07635234296321869,
-0.006554511841386557,
0.004772021435201168,
-0.002210568869486451,
0.05561744421720505,
-0.0010532366577535868,
-0.010386164300143719,
-0.004615293350070715,
-0.02698531374335289,
0.004009434022009373,
-0.07141190022230148,
-0.018788665533065796,
0.03040994144976139,
0.03200061619281769,
-0.01840503141283989,
0.011237642727792263,
0.00881420448422432,
-0.00848203431814909,
-0.003125206334516406,
0.013230663724243641,
0.019387507811188698,
-0.0006532289553433657,
-0.001571960048750043,
-0.02234428934752941,
-0.022512713447213173,
0.015654101967811584,
0.017581624910235405,
-0.022737279534339905,
-0.030915213748812675,
0.029942095279693604,
0.02597476914525032,
0.004615293350070715,
0.00832296721637249,
-0.031289491802453995,
0.004388388246297836,
0.0101522421464324,
-0.04985358938574791,
-0.04173179715871811,
-0.016842428594827652,
0.010161599144339561,
-0.007041071075946093,
-0.0212214607745409,
-0.04281719774007797,
0.043266329914331436,
0.034601833671331406,
-0.023897536098957062,
-0.010563945397734642,
-0.0012035318650305271,
-0.01336166076362133,
0.01336166076362133,
0.0736575573682785,
-0.03692234680056572,
0.02767772600054741,
0.04697166383266449,
-0.010068030096590519,
-0.0005125829484313726,
0.0008842275128699839,
0.00395329250022769,
-0.01293124258518219,
0.006596617866307497,
-0.013614296913146973,
0.006596617866307497,
0.030952641740441322,
-0.0029801742639392614,
-0.07927169650793076,
-0.012875101529061794,
-0.019761784002184868,
-0.059659626334905624,
0.0030409940518438816,
-0.017151206731796265,
-0.04221835732460022,
-0.0424429215490818,
0.0011105476878583431,
0.047158800065517426,
-0.01239789929240942,
0.014690340496599674,
0.023654256016016006,
0.05659056082367897,
-0.07519208639860153,
0.032730452716350555,
0.012949956580996513,
-0.014727768488228321,
0.000055775926739443094,
0.010975649580359459,
-0.004568508826196194,
0.012491468340158463,
-0.04921732097864151,
0.009993174113333225,
0.008135829120874405,
-0.00010380316234659404,
0.02202615514397621,
-0.08937715739011765,
-0.004622310865670443,
-0.03697848692536354
] |
Quantum Neural Networks (QNNs) are suggested as one of the quantum algorithms
which can be efficiently simulated with a low depth on near-term quantum
hardware in the presence of noises. However, their performance highly relies on
choosing the most suitable architecture of Variational Quantum Algorithms
(VQAs), and the problem-agnostic models often suffer issues regarding
trainability and generalization power. As a solution, the most recent works
explore Geometric Quantum Machine Learning (GQML) using QNNs equivariant with
respect to the underlying symmetry of the dataset. GQML adds an inductive bias
to the model by incorporating the prior knowledge on the given dataset and
leads to enhancing the optimization performance while constraining the search
space. This work proposes equivariant Quantum Convolutional Neural Networks
(EquivQCNNs) for image classification under planar $p4m$ symmetry, including
reflectional and $90^\circ$ rotational symmetry. We present the results tested
in different use cases, such as phase detection of the 2D Ising model and
classification of the extended MNIST dataset, and compare them with those
obtained with the non-equivariant model, proving that the equivariance fosters
better generalization of the model. | [
-0.022092875093221664,
0.04068361967802048,
-0.03633050620555878,
0.018394364044070244,
0.041076384484767914,
0.014794044196605682,
0.0045004007406532764,
0.012085621245205402,
-0.008951705880463123,
0.03957079350948334,
-0.041436415165662766,
-0.03426850587129593,
0.02930988185107708,
-0.01146374735981226,
-0.08542578667402267,
0.08725867420434952,
-0.026102323085069656,
0.0027431987691670656,
-0.015923235565423965,
-0.007004259619861841,
-0.016921505331993103,
-0.027051499113440514,
-0.029882660135626793,
-0.049324389547109604,
0.026756927371025085,
0.024367623031139374,
0.04271289333701134,
-0.008223459124565125,
-0.05299017205834389,
0.05999442934989929,
-0.031420979648828506,
-0.029751738533377647,
0.021781938150525093,
-0.012813868001103401,
-0.005220464430749416,
-0.03678872808814049,
0.006042810622602701,
0.03691964969038963,
-0.06847155094146729,
0.0012028343044221401,
0.03852342814207077,
0.029048040509223938,
-0.00028945758822374046,
0.01878712698817253,
0.010383651591837406,
-0.03307385370135307,
-0.013730312697589397,
-0.020390905439853668,
0.009589944034814835,
-0.007785692811012268,
0.018639840185642242,
-0.0058136992156505585,
0.025725925341248512,
0.01685604639351368,
-0.013386646285653114,
0.000803935166914016,
0.03112640604376793,
0.04173098877072334,
0.07658863812685013,
-0.00678333081305027,
0.029800834134221077,
0.015661394223570824,
-0.09864877909421921,
-0.032075583934783936,
-0.02089822292327881,
-0.027673372998833656,
0.0193435400724411,
-0.06834062933921814,
0.07403568178415298,
-0.03443215414881706,
-0.06775148212909698,
-0.016512379050254822,
-0.03078274056315422,
-0.001870734733529389,
0.010440928861498833,
0.016986966133117676,
0.01816525310277939,
0.039603523910045624,
0.007233371026813984,
0.040159936994314194,
-0.001220222213305533,
0.05750693753361702,
-0.04287654533982277,
0.05010991543531418,
0.07469028234481812,
-0.052008263766765594,
0.005380024202167988,
-0.04611683264374733,
0.027706101536750793,
0.02171647921204567,
-0.06441300362348557,
0.025905942544341087,
-0.028115229681134224,
-0.03518494963645935,
0.05639411136507988,
-0.006709687877446413,
0.004704964347183704,
-0.02171647921204567,
-0.005388206802308559,
0.02520224265754223,
0.027771562337875366,
-0.04313838481903076,
0.038392506539821625,
-0.014024884440004826,
0.012928423471748829,
-0.04215648025274277,
-0.05636138096451759,
-0.0013818275183439255,
-0.0006755715003237128,
0.10440929234027863,
0.024383988231420517,
-0.0208000335842371,
0.01103825494647026,
-0.024727655574679375,
-0.034955836832523346,
-0.06392205506563187,
-0.08444388210773468,
-0.056623220443725586,
-0.030242692679166794,
-0.02217470109462738,
-0.046149563044309616,
0.03714876249432564,
0.006431481335312128,
0.021323716267943382,
-0.04271289333701134,
0.054135728627443314,
0.014008519239723682,
0.026969673112034798,
0.0017745897639542818,
0.049586232751607895,
0.0030500441789627075,
-0.049128010869026184,
0.021405542269349098,
-0.03174827992916107,
0.02911349944770336,
-0.046804167330265045,
0.002982538193464279,
0.042647432535886765,
0.01695423573255539,
-0.05096089839935303,
0.0006817083922214806,
-0.054037537425756454,
0.013460288755595684,
-0.03822885826230049,
-0.00923809502273798,
-0.0013572799507528543,
0.018688935786485672,
0.0449712760746479,
0.02292749471962452,
-0.013206630013883114,
-0.06631135940551758,
0.0964885875582695,
-0.021438272669911385,
-0.01832890324294567,
0.06104179844260216,
0.03056999295949936,
-0.022665653377771378,
0.0051836431957781315,
0.031813740730285645,
-0.08752051740884781,
0.019883587956428528,
-0.035414062440395355,
-0.0017602703301236033,
0.05446302890777588,
0.008043442852795124,
0.04506946727633476,
0.030488168820738792,
0.0007292694645002484,
-0.033843010663986206,
0.037836093455553055,
0.07325015962123871,
0.037181492894887924,
-0.022338351234793663,
0.004148551262915134,
-0.015006789937615395,
0.03194466233253479,
0.021290985867381096,
-0.04379298910498619,
-0.012142898514866829,
-0.013149351812899113,
-0.026642370969057083,
0.0066196802072227,
0.028818929567933083,
0.09131722152233124,
0.07802876085042953,
0.06762056052684784,
0.08313467353582382,
-0.002606141148135066,
0.027296975255012512,
0.04641140252351761,
-0.004664051346480846,
-0.009630857035517693,
0.07410114258527756,
-0.04631321132183075,
0.0597325898706913,
-0.05861976370215416,
0.01017090491950512,
-0.024924036115407944,
0.012183811515569687,
0.006521489471197128,
-0.0135421147570014,
-0.027264244854450226,
0.05164823308587074,
-0.033581171184778214,
0.006693323142826557,
0.020881857722997665,
0.017346998676657677,
-0.0360359363257885,
-0.02728061005473137,
-0.022092875093221664,
-0.026969673112034798,
-0.007990256883203983,
-0.01503133773803711,
-0.03799974545836449,
-0.03623231500387192,
-0.00905807875096798,
0.00845257006585598,
-0.05096089839935303,
-0.029195325449109077,
-0.0032771099358797073,
-0.061074525117874146,
-0.013468471355736256,
0.07770146429538727,
-0.03855615854263306,
-0.045789528638124466,
-0.02800067327916622,
-0.015833226963877678,
0.002604095498099923,
-0.03462853655219078,
0.014188535511493683,
-0.002616369165480137,
-0.006488759536296129,
0.016234172508120537,
0.021405542269349098,
0.028262514621019363,
-0.022043779492378235,
-0.010620945133268833,
0.004565861076116562,
-0.029833564534783363,
-0.004651777446269989,
-0.023467542603611946,
0.0014882006216794252,
-0.010890969075262547,
-0.002354527823626995,
0.023074781522154808,
0.027673372998833656,
-0.012862962670624256,
0.016070520505309105,
0.042189210653305054,
0.012167446315288544,
-0.03243561461567879,
-0.0067956047132611275,
-0.018410729244351387,
-0.03871981054544449,
0.03479218855500221,
-0.029129864647984505,
-0.03351571038365364,
-0.012519296258687973,
-0.03367936238646507,
-0.04880070686340332,
0.04124003276228905,
0.026200514286756516,
-0.049684423953294754,
0.062285542488098145,
0.006083723157644272,
-0.01650419645011425,
-0.01030182559043169,
0.00954084936529398,
-0.006852882448583841,
0.010129992850124836,
0.02120915986597538,
-0.016275085508823395,
-0.06323471665382385,
-0.0655258297920227,
0.046542324125766754,
-0.02742789499461651,
0.015121346339583397,
-0.011619215831160545,
0.03862161934375763,
-0.0252677034586668,
0.02156919240951538,
-0.026593275368213654,
-0.00014754154835827649,
-0.010686405934393406,
0.03210831061005592,
0.018361633643507957,
-0.023271162062883377,
-0.0063537475652992725,
-0.0863422304391861,
-0.006480576936155558,
0.02379484474658966,
0.0030214053113013506,
-0.06375840306282043,
0.009098991751670837,
0.02865527756512165,
-0.02566046640276909,
-0.06077995523810387,
-0.05632865056395531,
0.05740874633193016,
-0.00888624507933855,
-0.05243375897407532,
-0.019556285813450813,
0.007065628655254841,
0.05593588948249817,
-0.09229912608861923,
-0.007982074283063412,
0.038850732147693634,
0.015882322564721107,
-0.003917394205927849,
-0.015555020421743393,
0.023222066462039948,
0.010473659262061119,
0.01379577349871397,
-0.0031298240646719933,
-0.017657935619354248,
-0.016635116189718246,
0.03544679284095764,
-0.0024956767447292805,
-0.02176557295024395,
0.0062801046296954155,
0.06212189421057701,
0.0010396947618573904,
-0.06339836865663528,
0.004733602982014418,
0.03538133203983307,
0.010252730920910835,
0.0416000671684742,
0.014188535511493683,
-0.07364291697740555,
0.006713779177516699,
-0.009033530950546265,
-0.0261186882853508,
-0.005752330180257559,
0.040225397795438766,
0.05992896854877472,
0.017854316160082817,
-0.019261714071035385,
0.061663668602705,
-0.03705057129263878,
-0.063136525452137,
-0.009221729822456837,
0.008542578667402267,
-0.011013707146048546,
-0.01563684642314911,
-0.012895693071186543,
-0.05943801626563072,
0.010359103791415691,
0.005756421480327845,
0.007454299833625555,
-0.010866421274840832,
0.0008412680472247303,
0.022862035781145096,
-0.07050082087516785,
0.03639596700668335,
0.015080433338880539,
-0.015317726880311966,
0.011422835290431976,
-0.014213083311915398,
0.033646631985902786,
0.010522754862904549,
-0.03129005804657936,
-0.064576655626297,
-0.029440801590681076,
0.031011851504445076,
-0.0800580382347107,
0.0014636530540883541,
-0.03937441483139992,
-0.01440128218382597,
0.017199711874127388,
-0.00837892759591341,
-0.0035962292458862066,
0.07639225572347641,
-0.05233556777238846,
0.0466732457280159,
-0.02207650989294052,
-0.04228740185499191,
-0.002004723995923996,
-0.03711603209376335,
-0.028589816763997078,
0.026233244687318802,
-0.06709688156843185,
0.045429497957229614,
-0.00193312659393996,
-0.03695238009095192,
0.01711788773536682,
0.02273111417889595,
-0.010113627649843693,
-0.0005492534255608916,
-0.06280922889709473,
-0.011791049502789974,
-0.05704871565103531,
0.006668775342404842,
-0.03413758426904678,
-0.01944173127412796,
0.0013726222096011043,
0.024269433692097664,
-0.028409801423549652,
-0.017445189878344536,
0.05456122010946274,
0.0020701843313872814,
-0.019801761955022812,
-0.004279471933841705,
-0.026658736169338226,
-0.01508861593902111,
0.010334555990993977,
-0.010571850463747978,
-0.024482179433107376,
-0.007360200397670269,
0.013206630013883114,
-0.027509720996022224,
-0.003185056149959564,
-0.029195325449109077,
0.025889577344059944,
-0.01528499647974968,
0.017232442274689674,
0.006607406307011843,
-0.09354287385940552,
0.04896435886621475,
0.03377755358815193,
-0.026102323085069656,
-0.0033568895887583494,
-0.015407734550535679,
0.031208232045173645,
0.010809144005179405,
-0.02855708636343479,
0.043563876301050186,
0.03331932798027992,
0.002059956081211567,
0.02976810373365879,
-0.012232907116413116,
0.05564131587743759,
-0.022158335894346237,
0.019327174872159958,
-0.01255202665925026,
-0.02449854463338852,
0.024613099172711372,
-0.016667846590280533,
0.0011588531779125333,
0.0041465056128799915,
-0.05132093280553818,
0.006881521549075842,
0.07050082087516785,
-0.03088092990219593,
-0.044873084872961044,
-0.03600320592522621,
0.0017786810640245676,
-0.02248563803732395,
-0.02292749471962452,
-0.044873084872961044,
0.0063169258646667,
-0.01194651797413826,
0.011152810417115688,
-0.08326559513807297,
-0.053677503019571304,
0.055608585476875305,
-0.004308110568672419,
-0.03544679284095764,
-0.030766375362873077,
0.07717777788639069,
0.013075709342956543,
0.02505495771765709,
0.061270907521247864,
-0.025840481743216515,
-0.05158277228474617,
0.0006111339316703379,
0.046542324125766754,
-0.019245348870754242,
-0.020112698897719383,
-0.014564932323992252,
0.00008048301242524758,
0.030455438420176506,
-0.018312539905309677,
-0.019883587956428528,
-0.010809144005179405,
0.002788202604278922,
-0.03832704946398735,
0.02384394034743309,
-0.04762241989374161,
-0.04019266739487648,
-0.0001337334979325533,
0.07613041251897812,
-0.009319920092821121,
0.002091663423925638,
0.011398287490010262,
-0.024924036115407944,
0.003592137945815921,
0.05037175491452217,
-0.025676831603050232,
-0.006361929699778557,
-0.015129528008401394,
-0.006018262822180986,
-0.027100594714283943,
0.019147159531712532,
0.028229786083102226,
0.03299202769994736,
-0.02202741429209709,
0.014753131195902824,
0.004733602982014418,
0.07325015962123871,
0.0490952804684639,
0.011611033231019974,
-0.041829176247119904,
-0.03199375793337822,
0.0322883278131485,
-0.04536403715610504,
0.00717609329149127,
0.09688135236501694,
-0.01157012116163969,
-0.021389177069067955,
-0.012191994115710258,
0.03963625431060791,
0.004586317110806704,
-0.016217807307839394,
-0.00949175376445055,
-0.005596861708909273,
-0.04179644584655762,
-0.033139314502477646,
-0.04556041955947876,
-0.0003850910870824009,
0.01751064881682396,
0.011406470090150833,
-0.040061745792627335,
0.04317111521959305,
0.02302568592131138,
-0.01927807927131653,
0.04248378053307533,
0.005870976950973272,
-0.04235285893082619,
-0.004166961647570133,
-0.01695423573255539,
-0.02901531010866165,
0.005453667137771845,
-0.01762520521879196,
-0.018361633643507957,
-0.011103715747594833,
-0.004279471933841705,
-0.008616221137344837,
-0.03133915364742279,
-0.05007718503475189,
-0.03538133203983307,
-0.06068176403641701,
0.05992896854877472,
-0.0012447698973119259,
0.020521827042102814,
-0.006971529684960842,
0.030766375362873077,
0.009164451621472836,
-0.013836686499416828,
0.03534860163927078,
-0.013353915885090828,
-0.011864691972732544,
-0.046247754245996475,
-0.007965709082782269,
0.0004410904075484723,
0.007356109097599983,
-0.0360359363257885,
-0.01852528564631939,
0.0006878452841192484,
0.00875532440841198,
0.00787161011248827,
0.022109240293502808,
-0.0030950482469052076,
-0.0021479183342307806,
0.027804292738437653,
-0.013983972370624542,
-0.020669111981987953,
0.03881800174713135,
0.0466732457280159,
-0.0013613711344078183,
-0.04035631939768791,
0.001467744237743318,
0.0008146747713908553,
-0.029997214674949646,
-0.011750136502087116,
0.03426850587129593,
-0.013632122427225113,
0.044774893671274185,
0.0039051203057169914,
0.003369163488969207,
0.011177358217537403,
0.000105669918411877,
0.0010054303565993905,
0.012159263715147972,
0.03371209278702736,
-0.006648318842053413,
-0.05835792049765587,
-0.028377071022987366,
-0.02050546184182167,
-0.02510405331850052,
-0.045233115553855896,
-0.05701598525047302,
0.05888160318136215,
-0.03469399735331535,
0.0030807286966592073,
-0.017232442274689674,
-0.005560040473937988,
0.01126736681908369,
-0.005744147580116987,
0.07383929938077927,
-0.05374296382069588,
-0.0006459097494371235,
0.0025754563976079226,
0.04506946727633476,
-0.01625053770840168,
0.008608038537204266,
-0.0005518104881048203,
-0.009017165750265121,
0.01400033663958311,
-0.014867686666548252,
-0.011242819018661976,
-0.02744426019489765,
0.018967142328619957,
0.023958496749401093,
0.0027472900692373514,
0.010637310333549976,
0.06012535095214844,
-0.014016701839864254,
-0.014417646452784538,
-0.02631506882607937,
-0.010490024462342262,
0.03636323660612106,
-0.003467353992164135,
0.01751064881682396,
-0.03777063637971878,
0.010039984248578548,
-0.0046067736111581326,
-0.014924964867532253,
0.0005676641594618559,
0.0138448690995574,
-0.028115229681134224,
-0.009565397165715694,
-0.03613412380218506,
-0.059863511472940445,
-0.0129366060718894,
-0.01280568540096283,
-0.016365092247724533,
0.005396389402449131,
0.008100721053779125,
-0.002364755840972066,
0.043858449906110764,
-0.01579231396317482,
0.0034489433746784925,
-0.007806149311363697,
0.031224597245454788,
0.011201906017959118,
0.019359905272722244,
-0.015309544280171394,
-0.02894984930753708,
-0.009712683036923409,
0.02566046640276909,
0.0273297056555748,
0.026413260027766228,
-0.005294107366353273,
0.03472672775387764,
-0.007200641091912985,
0.039603523910045624,
0.03999628871679306,
-0.0031809648498892784,
0.002534543862566352,
-0.04137095436453819,
0.035315871238708496,
0.02282930538058281,
0.005617318209260702,
-0.03387574106454849,
0.0035778183955699205,
-0.03822885826230049,
0.008346197195351124,
0.0049995360895991325,
0.041272763162851334,
0.04719692841172218,
0.012961153872311115,
-0.06460938602685928,
-0.008252098225057125,
0.013533932156860828,
0.04074908047914505,
-0.028311610221862793,
0.01146374735981226,
-0.007675228640437126,
0.024793116375803947,
-0.008608038537204266,
-0.006762874778360128,
-0.02145463600754738,
0.026396894827485085,
-0.003013222711160779,
-0.05767058581113815,
0.007470665033906698,
0.013337550684809685,
0.000018730359442997724,
-0.0009077512659132481,
-0.006636045407503843,
-0.033581171184778214,
-0.052368298172950745,
-0.002160192234441638,
-0.02804976888000965,
-0.017985237762331963,
-0.01040001679211855,
-0.020521827042102814,
0.043105654418468475,
-0.010105445049703121,
-0.029080770909786224,
-0.04722965881228447,
0.021127335727214813,
0.000006752199169568485,
0.016283268108963966,
-0.010220000520348549,
0.03056999295949936,
0.02911349944770336,
0.02991539053618908,
-0.023058416321873665,
0.012437470257282257,
-0.0017111750785261393,
0.01374667789787054,
0.010588214732706547,
0.057834237813949585,
0.0398980975151062,
0.015522290952503681,
0.003086865646764636,
0.0014963832218199968,
-0.020489096641540527,
0.017330633476376534,
0.013288455083966255,
0.08457480370998383,
-0.019016237929463387,
-0.04408755898475647,
0.010522754862904549,
0.04510219767689705,
0.056164998561143875,
-0.020636381581425667,
0.020227255299687386,
0.00404831487685442,
-0.012044708244502544,
-0.04415301978588104,
0.012093803845345974,
-0.00021773244952782989,
-0.002636825665831566,
-0.02703513391315937,
0.018754396587610245,
0.018705300986766815,
0.027313340455293655,
-0.0054618497379124165,
0.012486565858125687,
-0.0004929983988404274,
-0.040618158876895905,
-0.02181466855108738,
0.0007348949438892305,
-0.02935897745192051,
-0.04019266739487648,
-0.022518368437886238,
-0.02476038597524166,
0.0018073199316859245,
0.026855116710066795,
0.00391125725582242,
0.029653549194335938,
-0.038490697741508484,
-0.03898165002465248,
-0.03140461444854736,
-0.0011680584866553545,
-0.0024772658944129944,
-0.01711788773536682,
-0.0010315122781321406,
0.010719136334955692,
0.015497743152081966,
0.002428170759230852,
0.0273297056555748,
0.006648318842053413,
-0.0021274620667099953,
-0.05164823308587074,
0.005285925231873989,
0.011635581031441689,
-0.007450208533555269,
0.043858449906110764,
0.03934168443083763,
0.018345268443226814,
0.012478383257985115,
-0.022043779492378235,
-0.005621409509330988,
-0.023418448865413666,
0.001051457249559462,
0.03235378861427307,
0.01973630301654339,
-0.025349529460072517,
0.018345268443226814,
-0.02399122714996338,
0.011651946231722832,
-0.004733602982014418,
-0.03639596700668335,
-0.0064683030359447,
-0.05695052444934845,
-0.02855708636343479,
-0.007163819391280413,
-0.01422126591205597,
-0.04192736744880676,
0.015775948762893677,
-0.031224597245454788,
0.02570956014096737,
0.04516765475273132,
-0.025349529460072517,
0.06464211642742157,
-0.037279680371284485,
-0.025251338258385658,
0.022943859919905663,
-0.026495086029171944,
0.03214104101061821,
-0.020423635840415955,
0.011300096288323402,
-0.03397393226623535,
-0.0473933108150959,
-0.018508920446038246,
0.02480948157608509,
-0.0261186882853508,
0.00011787981202360243,
-0.037934284657239914,
0.03027542121708393,
-0.009524484165012836,
0.028622547164559364,
-0.00133886921685189,
-0.05953620746731758,
-0.005560040473937988,
0.05168096348643303,
-0.026691466569900513,
-0.014450376853346825,
-0.02798430807888508,
-0.034039393067359924,
-0.02986629493534565,
-0.056983254849910736,
-0.03633050620555878,
0.02471129037439823,
0.012339279986917973,
-0.007229279726743698,
-0.023549368605017662,
0.03371209278702736,
0.020996414124965668,
-0.052826520055532455,
0.030815469101071358,
0.009851786307990551,
0.029702642932534218,
-0.0060919057577848434,
0.02991539053618908,
-0.00918899942189455,
-0.017837950959801674,
-0.022289257496595383,
0.024269433692097664,
0.006214643828570843,
-0.02176557295024395,
-0.03822885826230049,
0.02687148191034794,
-0.008689864538609982,
-0.004541313275694847,
-0.009606309235095978,
0.011864691972732544,
0.006730144377797842,
0.008112994953989983,
0.02602049708366394,
0.0021724661346524954,
-0.004520856775343418,
-0.019376270473003387,
-0.007564764004200697,
0.013591209426522255,
-0.01655329205095768,
-0.020325444638729095,
0.008313466794788837,
-0.01232291478663683,
0.0063782949000597,
0.0019474460277706385,
0.04428394138813019,
-0.034203045070171356,
0.025545910000801086,
-0.018688935786485672,
-0.03178101032972336,
-0.011701041832566261,
-0.004819519817829132,
0.019245348870754242,
0.0009415042586624622,
0.02454764023423195,
-0.028769833967089653,
0.002340208273380995,
0.00048046890879049897,
-0.023909401148557663,
-0.015047702938318253,
0.01888531818985939,
-0.0019586971029639244,
0.020849129185080528,
0.0011220317101106048,
0.00255704578012228,
0.044316671788692474,
0.0014298999449238181,
-0.012617486529052258,
-0.032631997019052505,
-0.01939263567328453,
0.010195452719926834,
-0.029178960248827934,
-0.025169512256979942,
-0.007442025933414698,
0.03341751918196678,
0.0360359363257885,
-0.03691964969038963,
-0.04287654533982277,
-0.016986966133117676,
-0.00802707765251398,
-0.024285797029733658,
0.004803154617547989,
-0.02222379669547081,
-0.03158462792634964,
-0.02824615128338337,
-0.0021479183342307806,
-0.015244084410369396,
0.02413851208984852,
-0.0066196802072227,
0.02374574914574623,
-0.0029477623756974936,
0.04104365408420563,
0.014041249640285969,
-0.010629127733409405,
-0.03281201049685478,
0.007536125369369984,
-0.00036821459070779383,
-0.03731241077184677,
0.003864207537844777,
0.06186005100607872,
-0.012052890844643116,
0.03633050620555878,
-0.011905604973435402,
0.0022481547202914953,
0.012871145270764828,
-0.035970475524663925,
-0.03711603209376335,
-0.023467542603611946,
0.01827980950474739,
-0.005875068251043558,
-0.024482179433107376,
-0.0018144797068089247,
0.01660238765180111,
0.06595132499933243,
0.005862794350832701,
0.06195824220776558,
0.01847619004547596,
0.01298570167273283,
-0.0379670150578022,
0.017199711874127388,
0.003974671941250563,
-0.005952802486717701,
-0.04539676755666733,
0.008771689608693123,
0.00452903937548399,
-0.007908430881798267,
0.01182377990335226,
0.036625079810619354,
-0.010997342877089977,
0.01108735054731369,
-0.004934075754135847,
-0.044218480587005615,
-0.017281537875533104,
-0.008374836295843124,
0.0411091148853302,
-0.0038294317200779915,
-0.0058341557160019875,
-0.024056686088442802,
-0.03150280565023422,
-0.055248554795980453,
0.02358209900557995,
0.0019719935953617096,
-0.029882660135626793,
-0.040421780198812485,
-0.005101817660033703,
-0.008779872208833694,
-0.016970600932836533,
-0.04019266739487648,
-0.051157280802726746,
-0.014466742053627968,
0.0006009057397022843,
-0.00997452437877655,
-0.001520930789411068,
0.048571594059467316,
0.02597140334546566,
-0.002282930538058281,
-0.025595005601644516,
-0.014794044196605682,
-0.02197832055389881,
-0.027771562337875366,
0.01650419645011425,
0.023369353264570236,
-0.019769031554460526,
0.030259056016802788,
0.004177189897745848,
0.009434476494789124,
-0.009123539552092552,
0.031060947105288506,
0.03580682352185249,
-0.08018895238637924,
0.01570230722427368,
0.05063359811902046,
-0.0009169566328637302,
0.02444944903254509,
-0.0031830104999244213,
0.024678559973835945,
0.015096798539161682,
0.02207650989294052,
-0.01625053770840168,
0.02742789499461651,
0.021078240126371384,
-0.004717238247394562,
-0.026511451229453087,
0.007752962876111269,
0.026396894827485085,
0.02500586211681366,
0.00936083309352398,
0.038490697741508484,
-0.019261714071035385,
-0.034039393067359924,
-0.005605044309049845,
-0.03741060197353363,
-0.029244421049952507,
0.02314024232327938,
-0.012486565858125687,
-0.014916782267391682,
0.035970475524663925,
-0.008313466794788837,
0.021176429465413094,
0.03547952324151993,
0.01206925604492426,
0.0065705846063792706,
-0.024874940514564514,
-0.032222867012023926,
-0.03953806310892105
] |
Federated Learning (FL) is a machine learning paradigm, which enables
multiple and decentralized clients to collaboratively train a model under the
orchestration of a central aggregator. Traditional FL solutions rely on the
trust assumption of the centralized aggregator, which forms cohorts of clients
in a fair and honest manner. However, a malicious aggregator, in reality, could
abandon and replace the client's training models, or launch Sybil attacks to
insert fake clients. Such malicious behaviors give the aggregator more power to
control clients in the FL setting and determine the final training results. In
this work, we introduce zkFL, which leverages zero-knowledge proofs (ZKPs) to
tackle the issue of a malicious aggregator during the training model
aggregation process. To guarantee the correct aggregation results, the
aggregator needs to provide a proof per round. The proof can demonstrate to the
clients that the aggregator executes the intended behavior faithfully. To
further reduce the verification cost of clients, we employ a blockchain to
handle the proof in a zero-knowledge way, where miners (i.e., the nodes
validating and maintaining the blockchain data) can verify the proof without
knowing the clients' local and aggregated models. The theoretical analysis and
empirical results show that zkFL can achieve better security and privacy than
traditional FL, without modifying the underlying FL network structure or
heavily compromising the training speed. | [
-0.026042262092232704,
-0.06350929290056229,
-0.02279776707291603,
-0.08635883778333664,
0.001059746602550149,
-0.042178455740213394,
0.025679845362901688,
0.024023082107305527,
-0.05239516869187355,
0.023056635633111,
-0.03575849533081055,
-0.02181406319141388,
-0.03284189850091934,
-0.03501640260219574,
-0.04224748909473419,
0.040866851806640625,
0.010492839850485325,
-0.05777965113520622,
0.01607578992843628,
-0.0483568049967289,
-0.003507680492475629,
-0.0607135072350502,
-0.019605044275522232,
-0.057261914014816284,
0.026163067668676376,
0.024471787735819817,
0.014807330444455147,
0.027181288227438927,
-0.08656593412160873,
0.05170485004782677,
0.02813047543168068,
0.01686965674161911,
-0.028872568160295486,
-0.0050565823912620544,
0.002724600490182638,
0.0010764653561636806,
0.042178455740213394,
-0.04752842336893082,
-0.014263704419136047,
0.028372088447213173,
-0.0649934783577919,
-0.013185082003474236,
-0.03869234770536423,
0.07835114002227783,
0.01820714958012104,
0.0044007799588143826,
-0.04870196431875229,
0.006847096141427755,
-0.06602896004915237,
-0.013590644113719463,
-0.009828408248722553,
-0.006920442450791597,
0.045077793300151825,
-0.02678435482084751,
0.03272109478712082,
-0.008128499612212181,
0.06240478530526161,
-0.018069084733724594,
0.022210994735360146,
-0.03197900205850601,
-0.020295361056923866,
-0.035188980400562286,
0.006998103111982346,
0.00591516587883234,
-0.012063314206898212,
-0.015126602724194527,
0.023332763463258743,
0.03786396607756615,
0.017396025359630585,
-0.022366316989064217,
-0.03934815153479576,
0.05315452069044113,
0.015566680580377579,
-0.041246525943279266,
0.0013191553298383951,
0.010501469485461712,
-0.0038851983845233917,
0.025248397141695023,
0.04804616421461105,
0.013029760681092739,
-0.006096374709159136,
0.012650085613131523,
0.05167033523321152,
0.0241093710064888,
0.07165504992008209,
0.037104614078998566,
-0.05629546940326691,
-0.07655631750822067,
0.03498188778758049,
-0.006838466972112656,
0.009983730502426624,
0.009138090535998344,
-0.051842913031578064,
-0.007546043489128351,
0.03083997592329979,
-0.016084419563412666,
-0.0344986654818058,
-0.04159168526530266,
-0.08290724456310272,
-0.014462171122431755,
-0.07003280520439148,
0.07303568720817566,
-0.03386012092232704,
0.02643919549882412,
0.002547706477344036,
-0.03720816224813461,
0.004771826323121786,
0.06616701930761337,
0.056019339710474014,
0.09719683229923248,
-0.001157362014055252,
-0.01369419228285551,
-0.03453318029642105,
0.0877394750714302,
-0.050910983234643936,
0.0251621063798666,
-0.013055647723376751,
-0.011036465875804424,
0.02271147631108761,
-0.027060482650995255,
0.0037514492869377136,
-0.02248712256550789,
-0.01120904553681612,
-0.0008753021829761565,
-0.04701068624854088,
0.03344592824578285,
0.041246525943279266,
0.029200470075011253,
0.003207823494449258,
0.013590644113719463,
0.013064276427030563,
-0.00198142952285707,
0.004819285590201616,
-0.0799388736486435,
0.024540821090340614,
0.010285744443535805,
0.06047189608216286,
0.017741182819008827,
-0.008012007921934128,
0.03568946197628975,
0.019087305292487144,
0.03268657624721527,
-0.009284783154726028,
0.04977196082472801,
0.027405641973018646,
-0.004405094310641289,
0.0003128005482722074,
0.03841622173786163,
0.008732528425753117,
0.031012555584311485,
-0.008823132142424583,
0.03600010648369789,
0.061472855508327484,
0.02238357439637184,
0.026542743667960167,
-0.005242105573415756,
0.053879354149103165,
-0.02490323781967163,
0.02745741605758667,
-0.03532704710960388,
0.05481128394603729,
0.020209072157740593,
0.05746901035308838,
0.04704520106315613,
0.009371072985231876,
0.03952072933316231,
0.014729669317603111,
0.03023594804108143,
-0.0711718276143074,
0.04707971587777138,
-0.006911813281476498,
0.020847616717219353,
0.003552982583642006,
-0.02177954651415348,
0.0063681877218186855,
-0.003026614896953106,
0.023712437599897385,
-0.04286877438426018,
0.00719225499778986,
-0.03159932792186737,
-0.005194646306335926,
0.04935776814818382,
0.05084195360541344,
0.04059072211384773,
0.03596559166908264,
0.01970859058201313,
0.026352906599640846,
0.0177584420889616,
0.049737442284822464,
-0.04014201834797859,
0.03575849533081055,
0.03297996148467064,
0.055156443268060684,
-0.05108356475830078,
0.003134477185085416,
-0.023194698616862297,
0.022504379972815514,
-0.010492839850485325,
0.006117946933954954,
-0.038761381059885025,
-0.027543704956769943,
-0.03858879953622818,
-0.012037428095936775,
-0.024212919175624847,
-0.014160157181322575,
0.02899337373673916,
0.04110846295952797,
-0.016317401081323624,
0.019691333174705505,
-0.0336185060441494,
-0.015031684190034866,
-0.0019242626149207354,
-0.043421030044555664,
-0.006890241056680679,
0.0013288629706948996,
-0.03527527302503586,
0.018258921802043915,
-0.038278158754110336,
0.001416231389157474,
0.016153451055288315,
0.03720816224813461,
-0.02015729807317257,
0.032324161380529404,
-0.01291758380830288,
-0.017965536564588547,
-0.0038959847297519445,
0.009871553629636765,
0.022504379972815514,
0.00438352208584547,
0.020830359309911728,
-0.04373167082667351,
-0.006191293243318796,
-0.002545549301430583,
0.031202392652630806,
0.00047567253932356834,
-0.08608271181583405,
-0.01239121612161398,
0.025938715785741806,
-0.017490943893790245,
0.008948252536356449,
-0.021606966853141785,
0.009940585121512413,
-0.0647173523902893,
-0.03178916499018669,
0.017931021749973297,
-0.007239714730530977,
-0.07296665757894516,
0.0714479610323906,
-0.0006881611770950258,
0.00480634206905961,
-0.03886492922902107,
-0.02321195788681507,
-0.009284783154726028,
-0.03689752146601677,
-0.03235867619514465,
-0.010423808358609676,
0.011493802070617676,
-0.062611885368824,
0.006212865933775902,
-0.02162422426044941,
0.06067898869514465,
0.016576271504163742,
0.011692268773913383,
-0.011683639138936996,
-0.0011077453382313251,
-0.026680806651711464,
0.06564928591251373,
0.014841846190392971,
0.005535490810871124,
-0.014824588783085346,
-0.059332869946956635,
-0.023608891293406487,
-0.054742250591516495,
-0.013702820986509323,
-0.007533099967986345,
-0.025938715785741806,
-0.07634922116994858,
-0.03173739090561867,
-0.010605016723275185,
0.03065013885498047,
0.020433425903320312,
-0.04121201112866402,
-0.020226329565048218,
0.023367278277873993,
0.017232073470950127,
-0.0104755824431777,
-0.019622301682829857,
-0.055501602590084076,
-0.028216766193509102,
-0.003835581708699465,
-0.06219768896698952,
-0.002830305602401495,
0.011364366859197617,
-0.005798674654215574,
0.00862466637045145,
0.006579597480595112,
0.015989501029253006,
0.06299155950546265,
0.023004861548542976,
0.02666354924440384,
0.0074511244893074036,
-0.009267524816095829,
0.0052032750099897385,
0.01465200912207365,
0.04607875645160675,
0.031202392652630806,
-0.04069427028298378,
0.03869234770536423,
0.00029689085204154253,
-0.03848525136709213,
0.023453569039702415,
-0.07020538300275803,
-0.02885531075298786,
-0.05325806885957718,
-0.06375090777873993,
0.011838961392641068,
0.003947758581489325,
0.03083997592329979,
-0.038312673568725586,
-0.05998867005109787,
0.0027461729478091,
0.08145757764577866,
-0.07842017710208893,
0.015963613986968994,
-0.006363872904330492,
-0.05570869892835617,
0.06116221472620964,
0.05028969794511795,
-0.04991002380847931,
0.0037859652657061815,
-0.02576613612473011,
-0.038761381059885025,
-0.09146719425916672,
-0.05588127672672272,
0.01598087139427662,
-0.0586080364882946,
-0.0503242127597332,
0.028303055092692375,
-0.011675010435283184,
-0.011588720604777336,
-0.016429578885436058,
-0.013305887579917908,
-0.03106432966887951,
0.01820714958012104,
-0.028941599652171135,
-0.03249673917889595,
-0.043351996690034866,
-0.003531410126015544,
0.07365697622299194,
0.030028851702809334,
0.0008904029382392764,
0.04438747465610504,
0.013659675605595112,
-0.0397278256714344,
0.010501469485461712,
-0.03990040719509125,
0.015825549140572548,
-0.016274256631731987,
-0.04897809401154518,
-0.005539805628359318,
-0.014557089656591415,
-0.020744068548083305,
-0.026318389922380447,
0.011407512240111828,
-0.03306625410914421,
-0.023902276530861855,
-0.024126628413796425,
-0.011278077028691769,
-0.010492839850485325,
0.03403269872069359,
-0.056778691709041595,
0.01438450999557972,
-0.013780482113361359,
0.028941599652171135,
0.02666354924440384,
-0.015187005512416363,
-0.027250319719314575,
-0.024195661768317223,
-0.010881144553422928,
0.05491483211517334,
0.011467915028333664,
0.002556335413828492,
0.09982004761695862,
0.04490521550178528,
0.024955011904239655,
0.015989501029253006,
-0.014315478503704071,
0.001593125518411398,
-0.021158259361982346,
0.007265601307153702,
0.021037453785538673,
-0.030287722125649452,
-0.002968369284644723,
-0.012529279105365276,
0.06257736682891846,
-0.019087305292487144,
0.007645276840776205,
-0.0025800650473684072,
-0.005440572276711464,
-0.015402729623019695,
-0.02165874093770981,
0.04110846295952797,
-0.012995244935154915,
0.014401768334209919,
-0.032703835517168045,
-0.0008429434965364635,
0.0021345941349864006,
0.02343631163239479,
0.03693203628063202,
0.03511995077133179,
-0.001541351666674018,
-0.05173936486244202,
0.002679298399016261,
-0.03945169970393181,
-0.009371072985231876,
0.020001975819468498,
-0.10154584050178528,
0.019432464614510536,
-0.0055009750649333,
0.016886914148926735,
-0.002560649998486042,
-0.010121794417500496,
0.06627056747674942,
0.03396366536617279,
-0.015109344385564327,
0.024627109989523888,
0.026646291837096214,
0.003311371197924018,
-0.03249673917889595,
0.01239121612161398,
0.06982570886611938,
0.03820912539958954,
0.013927174732089043,
-0.030460299924016,
-0.06002318859100342,
-0.014047980308532715,
0.0398658886551857,
-0.01967407576739788,
-0.014988538809120655,
-0.004161325749009848,
0.01141614094376564,
0.03156480938196182,
-0.013512982986867428,
-0.03125416859984398,
-0.042558129876852036,
-0.015894582495093346,
-0.0009017284610308707,
-0.024316467344760895,
-0.005759844556450844,
-0.007904145866632462,
-0.04159168526530266,
0.00698515959084034,
-0.07904145866632462,
-0.0012253152672201395,
0.022021157667040825,
0.0046769073233008385,
0.041660718619823456,
-0.00518170278519392,
0.06803087890148163,
-0.05066937208175659,
0.03872686251997948,
0.0546041876077652,
0.005052268039435148,
-0.01337492000311613,
-0.011631865985691547,
-0.02523113787174225,
-0.007981806993484497,
-0.08994849026203156,
-0.021693257614970207,
-0.045940693467855453,
0.03720816224813461,
-0.03820912539958954,
0.03527527302503586,
0.00783079955726862,
-0.010699935257434845,
0.0172493327409029,
0.023833243176341057,
-0.06547670066356659,
-0.009138090535998344,
-0.007882573641836643,
0.0104583241045475,
0.026266615837812424,
0.029873529449105263,
-0.002321195788681507,
0.02768176980316639,
0.01936343125998974,
-0.0036651594564318657,
-0.015109344385564327,
-0.0000819753113319166,
-0.06544218957424164,
0.011873477138578892,
-0.024920495226979256,
0.021572450175881386,
-0.010691306553781033,
0.02372969686985016,
-0.027336610481142998,
-0.02764725312590599,
0.027164030820131302,
0.08573754876852036,
-0.015195634216070175,
-0.000915211217943579,
0.011813074350357056,
-0.006307784467935562,
-0.0009702210081741214,
-0.043800704181194305,
-0.03237593546509743,
0.008270877413451672,
-0.03486108034849167,
0.019605044275522232,
0.03724268078804016,
0.0019889799878001213,
0.04438747465610504,
-0.028561925515532494,
-0.011502430774271488,
-0.031081587076187134,
-0.010406550019979477,
-0.01639506220817566,
-0.041695233434438705,
-0.014324107207357883,
0.013098792172968388,
0.007067135069519281,
0.053465161472558975,
0.00040340484702028334,
0.0077143083326518536,
-0.013228227384388447,
0.03358399122953415,
0.023591632023453712,
0.02719854563474655,
-0.007015360984951258,
-0.03180642053484917,
-0.0347057580947876,
0.03810557723045349,
-0.048840027302503586,
0.01884569227695465,
0.02895885892212391,
0.015040312893688679,
-0.008607408031821251,
-0.0104583241045475,
-0.012943470850586891,
-0.030701912939548492,
-0.016791995614767075,
0.045940693467855453,
-0.009828408248722553,
0.032738350331783295,
0.0074209230951964855,
0.009379701688885689,
0.051394205540418625,
-0.039210088551044464,
-0.0038593115750700235,
-0.0026598831173032522,
0.01438450999557972,
-0.03213432431221008,
-0.027474673464894295,
0.01831069588661194,
-0.015765147283673286,
-0.023350020870566368,
0.053948383778333664,
-0.03637978062033653,
-0.013495725579559803,
0.0088792210444808,
0.01674022153019905,
0.015169747173786163,
0.001263067009858787,
-0.017723925411701202,
0.021417129784822464,
-0.035896558314561844,
-0.02407485619187355,
0.04852938652038574,
-0.06047189608216286,
0.0378294512629509,
0.02614581026136875,
-0.007869630120694637,
0.009733489714562893,
-0.011062352918088436,
0.006040286272764206,
0.002110864268615842,
-0.03655236214399338,
0.02918321080505848,
0.009120832197368145,
-0.013055647723376751,
0.007360520306974649,
-0.002132436726242304,
-0.027664510533213615,
0.028786279261112213,
0.04856390133500099,
0.02369518019258976,
-0.001625484204851091,
0.02133083902299404,
-0.001370929297991097,
-0.020623262971639633,
-0.021296324208378792,
0.01428959146142006,
-0.04017653316259384,
0.038278158754110336,
0.01385814230889082,
-0.026318389922380447,
0.006445848383009434,
-0.014194672927260399,
0.05149775370955467,
-0.05836642161011696,
-0.002871293341740966,
-0.029010633006691933,
0.007235399913042784,
0.013021131046116352,
0.03575849533081055,
-0.030477559193968773,
0.011424769647419453,
0.008232046850025654,
0.00232335296459496,
-0.021900352090597153,
0.03927911818027496,
0.010484211146831512,
0.008585835807025433,
-0.005919480696320534,
0.012814035639166832,
-0.0011077453382313251,
0.005634724162518978,
-0.026870645582675934,
-0.016541754826903343,
-0.0004743242752738297,
0.015394100919365883,
-0.039624277502298355,
0.011985654011368752,
0.01728384755551815,
0.0008262248593382537,
0.015092086978256702,
-0.008762729354202747,
-0.03851976990699768,
-0.0006638921913690865,
-0.01970859058201313,
-0.008223418146371841,
0.00613089045509696,
-0.03494736924767494,
-0.05070389062166214,
-0.048391323536634445,
-0.03886492922902107,
-0.0198984295129776,
0.03896847367286682,
-0.002970526460558176,
0.014781443402171135,
-0.008913736790418625,
0.0007550357840955257,
0.04186781123280525,
0.0713789239525795,
-0.0303567536175251,
-0.007606446277350187,
0.024420013651251793,
-0.01438450999557972,
0.04649294540286064,
0.0018854321679100394,
0.026421938091516495,
-0.021106485277414322,
0.014280962757766247,
0.027146771550178528,
-0.010406550019979477,
-0.037484291940927505,
-0.005211904179304838,
-0.025179365649819374,
0.00032008124981075525,
0.010743080638349056,
0.02535194531083107,
0.047597456723451614,
0.006169721018522978,
0.030184173956513405,
0.0023988564498722553,
-0.05902222543954849,
0.0021507733035832644,
0.056019339710474014,
0.021417129784822464,
0.07420922815799713,
-0.03061562217772007,
0.031236909329891205,
-0.01481595914810896,
-0.00033302471274510026,
0.020174555480480194,
-0.007062820252031088,
0.04028008133172989,
-0.02260792814195156,
-0.03310076892375946,
-0.029131438583135605,
-0.07724663615226746,
0.03841622173786163,
0.030494816601276398,
0.016438208520412445,
-0.035033661872148514,
-0.02181406319141388,
-0.023384537547826767,
0.000755575078073889,
-0.023419052362442017,
-0.03907202184200287,
-0.02429920807480812,
-0.047666486352682114,
-0.022021157667040825,
-0.010553242638707161,
-0.004014633130282164,
-0.006786692887544632,
-0.014962651766836643,
0.006398389115929604,
-0.041729748249053955,
0.04245458543300629,
0.044663604348897934,
0.007766082417219877,
-0.013098792172968388,
0.015454503707587719,
-0.012969357892870903,
0.008253620006144047,
0.001137946848757565,
0.02429920807480812,
0.020105523988604546,
-0.013271371833980083,
0.03475753217935562,
-0.00586770661175251,
-0.012020169757306576,
0.023988565430045128,
0.026197584345936775,
-0.010389292612671852,
-0.020209072157740593,
-0.011105497367680073,
-0.0013288629706948996,
0.05336161330342293,
-0.021883094683289528,
0.01090703159570694,
-0.019777623936533928,
-0.04242006689310074,
0.00559589359909296,
-0.010743080638349056,
-0.033566731959581375,
-0.006890241056680679,
-0.019587785005569458,
0.0039175571873784065,
0.0482187420129776,
-0.0004643470165319741,
-0.03125416859984398,
0.007822170853614807,
0.0038010659627616405,
-0.02828579768538475,
0.009560910053551197,
0.019432464614510536,
-0.02117551863193512,
-0.012330813333392143,
0.007718623150140047,
0.035033661872148514,
-0.03230690211057663,
-0.009215750731527805,
-0.008715270087122917,
0.0006655101315118372,
0.01996746100485325,
0.05325806885957718,
-0.04152265191078186,
0.0397278256714344,
0.011088239960372448,
-0.023643406108021736,
0.025938715785741806,
-0.016878286376595497,
-0.04487069696187973,
0.06023028492927551,
0.03720816224813461,
0.014608863741159439,
0.0480806790292263,
0.03501640260219574,
-0.005026380997151136,
0.039141055196523666,
-0.02404033951461315,
0.039555247873067856,
0.022763250395655632,
0.00560452276840806,
-0.010734451934695244,
-0.009940585121512413,
0.003430019598454237,
-0.04404231533408165,
0.025403717532753944,
-0.04963389411568642,
0.014513945206999779,
-0.0325312577188015,
-0.06344026327133179,
0.0355859138071537,
0.009586797095835209,
-0.017896505072712898,
0.012667343020439148,
0.01652449741959572,
0.013487095944583416,
0.019622301682829857,
0.0003508219961076975,
-0.026128552854061127,
0.002834619954228401,
0.010441066697239876,
0.05953996628522873,
-0.0586080364882946,
0.0010996556375175714,
0.0315130352973938,
-0.001729031908325851,
0.008861962705850601,
0.01237395778298378,
0.008853334002196789,
0.05028969794511795,
0.013953061774373055,
-0.01891472563147545,
0.04373167082667351,
-0.026007747277617455,
-0.048805512487888336,
0.035447850823402405,
-0.015350956469774246,
0.0021345941349864006,
0.0016470566624775529,
-0.04959937930107117,
-0.01963955909013748,
0.021727772429585457,
-0.04525037482380867,
0.0011018129298463464,
-0.008391682989895344,
-0.010846628807485104,
0.031047072261571884,
0.006799636408686638,
0.006407017819583416,
-0.029321275651454926,
-0.034170761704444885,
0.006592541001737118,
0.03265206143260002,
0.01936343125998974,
-0.05294742435216904,
-0.003175464691594243,
0.00296189752407372,
0.00792571809142828,
0.017965536564588547,
-0.020433425903320312,
0.008939623832702637,
0.021382613107562065,
-0.010725822299718857,
0.010415179654955864,
-0.018155375495553017,
0.024350982159376144,
0.009146719239652157,
-0.027405641973018646,
0.043006837368011475,
-0.050117116421461105,
0.013383548706769943,
0.015558051876723766,
0.017068123444914818,
0.0209511648863554,
0.018897466361522675,
-0.023488083854317665,
-0.007550357840955257,
0.02452356182038784,
-0.005427628755569458,
-0.039175570011138916,
0.02177954651415348,
0.017482314258813858,
-0.0262148417532444,
0.024281950667500496,
-0.015316439792513847,
0.020295361056923866,
0.026577260345220566,
0.05912577360868454,
0.017301104962825775,
-0.034101732075214386,
-0.028182249516248703,
0.023298246785998344,
0.013642418198287487,
0.021037453785538673,
-0.03941718116402626,
-0.041729748249053955,
0.016343288123607635,
0.0065148803405463696,
-0.013789110817015171,
0.00666588731110096,
-0.041660718619823456,
-0.006381130777299404,
-0.031651098281145096,
-0.03700106963515282,
-0.030063368380069733,
0.025921456515789032,
-0.057676106691360474,
0.02436824142932892,
0.013504354283213615,
-0.0006633528973907232,
0.011675010435283184,
-0.011580091901123524,
0.015031684190034866,
-0.005608837120234966,
-0.05408645048737526,
0.027819832786917686,
0.009690345264971256,
0.041729748249053955,
-0.004465497564524412,
0.014039350673556328,
0.0036069138441234827,
0.00968171562999487,
-0.034170761704444885,
-0.006605484522879124,
-0.042523615062236786,
-0.03686300292611122,
0.008930995129048824,
-0.02643919549882412,
-0.016377804800868034,
0.022970346733927727,
-0.012020169757306576,
-0.01756860502064228,
0.003037401009351015,
0.01922536827623844,
0.06009221822023392,
-0.003807537490502,
-0.00338471750728786,
0.002687927335500717,
-0.023453569039702415,
0.04566456377506256,
0.015359585173428059,
-0.02184857800602913,
0.001230708323419094,
-0.028147734701633453,
0.00619560806080699,
0.011882105842232704,
-0.03786396607756615,
-0.0017840416403487325,
-0.021313581615686417,
-0.020260846242308617,
0.010553242638707161,
-0.044663604348897934,
-0.016748851165175438,
-0.00020224173204042017,
0.04262716323137283,
0.004038362763822079,
0.046769075095653534,
-0.014194672927260399,
0.02050245739519596,
-0.0066313715651631355,
-0.02959740348160267,
0.02257341332733631,
0.010061390697956085,
-0.04852938652038574,
-0.038830410689115524,
0.002847563475370407,
0.023263731971383095,
0.013642418198287487,
0.03727719560265541,
0.02162422426044941,
0.03772590309381485,
-0.04490521550178528,
0.047666486352682114,
-0.029804497957229614,
-0.001925341202877462,
0.01805182732641697,
-0.025921456515789032,
0.009595425799489021,
0.016990462318062782,
-0.002761273644864559,
-0.027509190142154694,
0.003024457721039653,
0.016567641869187355,
0.0031840938609093428,
0.037898480892181396,
-0.0356549471616745,
-0.014755556359887123,
0.024955011904239655,
0.007520156446844339,
-0.031392231583595276,
0.018379727378487587,
-0.0017861989326775074,
0.0036996754352003336,
-0.03983137384057045,
0.036655910313129425,
-0.010708564892411232,
0.03391189128160477,
-0.004491384141147137,
-0.004875374026596546,
0.04911615699529648,
0.032703835517168045,
-0.04683810472488403,
-0.04721778258681297,
-0.03855428472161293,
0.03109884448349476,
-0.028561925515532494,
-0.030184173956513405,
0.024765172973275185,
0.05201549455523491,
0.01661941595375538,
-0.014151527546346188,
-0.025369202718138695,
-0.03096078149974346,
-0.018120858818292618,
0.02257341332733631,
0.0173528790473938,
-0.03242770954966545,
-0.003630643477663398,
0.04849487170577049,
-0.0711027979850769,
-0.032859157770872116,
0.009940585121512413,
0.018069084733724594,
-0.024627109989523888,
0.020623262971639633,
-0.03135771304368973,
0.013978947885334492,
0.027336610481142998,
-0.04438747465610504,
-0.02241809107363224,
0.0147037822753191,
-0.02994256280362606,
-0.024281950667500496,
-0.01057050097733736,
0.020778585225343704,
-0.04497424513101578,
0.01600675843656063,
-0.01652449741959572,
0.015057571232318878,
0.01337492000311613,
-0.03109884448349476,
0.06371638923883438,
0.026646291837096214,
-0.04480166733264923,
0.04269619658589363,
-0.024868721142411232,
-0.01782747358083725,
0.018742145970463753,
0.037104614078998566,
-0.039555247873067856,
-0.03610365465283394,
-0.026128552854061127,
0.002541234716773033,
-0.002886394038796425,
0.02114100195467472,
0.027595479041337967,
-0.043800704181194305,
0.00047027942491695285,
-0.020071009173989296
] |
The authors are concerned about the safety, health, and rights of the
European citizens due to inadequate measures and procedures required by the
current draft of the EU Artificial Intelligence (AI) Act for the conformity
assessment of AI systems. We observe that not only the current draft of the EU
AI Act, but also the accompanying standardization efforts in CEN/CENELEC, have
resorted to the position that real functional guarantees of AI systems
supposedly would be unrealistic and too complex anyways. Yet enacting a
conformity assessment procedure that creates the false illusion of trust in
insufficiently assessed AI systems is at best naive and at worst grossly
negligent. The EU AI Act thus misses the point of ensuring quality by
functional trustworthiness and correctly attributing responsibilities.
The trustworthiness of an AI decision system lies first and foremost in the
correct statistical testing on randomly selected samples and in the precision
of the definition of the application domain, which enables drawing samples in
the first place. We will subsequently call this testable quality functional
trustworthiness. It includes a design, development, and deployment that enables
correct statistical testing of all relevant functions.
We are firmly convinced and advocate that a reliable assessment of the
statistical functional properties of an AI system has to be the indispensable,
mandatory nucleus of the conformity assessment. In this paper, we describe the
three necessary elements to establish a reliable functional trustworthiness,
i.e., (1) the definition of the technical distribution of the application, (2)
the risk-based minimum performance requirements, and (3) the statistically
valid testing based on independent random samples. | [
0.02266811765730381,
-0.011230076663196087,
-0.024766668677330017,
-0.07963145524263382,
0.03342554718255997,
0.02953094244003296,
-0.05823002755641937,
0.00847454834729433,
0.018433207646012306,
-0.03913511708378792,
0.005581953097134829,
-0.005780464503914118,
0.06666203588247299,
-0.0040978435426950455,
-0.03221557289361954,
-0.005719020497053862,
0.005988428834825754,
-0.02495572715997696,
-0.021401425823569298,
-0.06450676918029785,
0.008956648409366608,
0.020550662651658058,
-0.03586440533399582,
0.062464937567710876,
0.007259847596287727,
-0.00440033758059144,
-0.009481285698711872,
0.002613734221085906,
-0.0747915580868721,
0.04034509137272835,
0.02639257162809372,
0.03603455796837807,
-0.016674961894750595,
-0.01580529287457466,
0.010398219339549541,
-0.04265160486102104,
0.05588570237159729,
0.016022710129618645,
-0.00047500955406576395,
0.054335422813892365,
0.016476450487971306,
0.013631120324134827,
0.027262240648269653,
0.008876298554241657,
-0.03427631035447121,
-0.01174053456634283,
-0.005945890676230192,
-0.014160484075546265,
-0.017194872722029686,
0.026921935379505157,
0.02586320787668228,
-0.004924974869936705,
0.0718422457575798,
-0.02760254591703415,
0.024086056277155876,
-0.004733553156256676,
0.04684870317578316,
0.0020028387662023306,
0.06654860079288483,
-0.030703105032444,
0.002488482976332307,
0.03851122409105301,
-0.02881252020597458,
0.02096659131348133,
-0.04174412414431572,
-0.06613267213106155,
0.030703105032444,
0.030041400343179703,
-0.009088989347219467,
-0.00483280885964632,
-0.09203369170427322,
-0.019718805328011513,
-0.025428373366594315,
0.022743741050362587,
0.00474536931142211,
0.0248233862221241,
0.02361341007053852,
0.03824654221534729,
0.022743741050362587,
0.05728473514318466,
0.02994687110185623,
0.037187814712524414,
-0.03172402083873749,
0.005321997683495283,
0.03198870271444321,
0.010785789228975773,
0.03745249658823013,
-0.055318526923656464,
-0.018631719052791595,
-0.020550662651658058,
-0.07051883637905121,
0.03939979895949364,
-0.017554085701704025,
-0.029417507350444794,
-0.009840496815741062,
-0.010851959697902203,
-0.012808715924620628,
-0.020550662651658058,
-0.056944429874420166,
0.012024122290313244,
-0.047831807285547256,
-0.030306082218885422,
0.028037380427122116,
0.027224428951740265,
0.017856579273939133,
-0.0476805604994297,
-0.011901234276592731,
0.021647201851010323,
0.05221796780824661,
0.19374717772006989,
-0.01867898367345333,
0.02028598077595234,
-0.032782748341560364,
-0.027035370469093323,
-0.09127745777368546,
-0.05826783925294876,
-0.06972478330135345,
-0.046054657548666,
0.040685396641492844,
0.01923670619726181,
-0.043785955756902695,
0.03817091882228851,
0.06462020426988602,
0.007604879327118397,
-0.0204183217138052,
0.04824773594737053,
-0.07732494175434113,
-0.06628391891717911,
0.027942851185798645,
-0.02064519189298153,
-0.010029555298388004,
0.01724213734269142,
-0.01200521644204855,
0.0058797202073037624,
0.02015363983809948,
-0.004537404980510473,
0.01099375355988741,
0.028113003820180893,
0.03132699802517891,
0.025012444704771042,
-0.0113529646769166,
-0.040156032890081406,
-0.05543196201324463,
0.05233140289783478,
0.011655458249151707,
-0.007326018065214157,
-0.04828554764389992,
0.06159526854753494,
-0.010199707932770252,
-0.007434726692736149,
-0.04060977324843407,
0.012458957731723785,
-0.030551858246326447,
-0.05221796780824661,
0.08605944365262985,
-0.025031350553035736,
-0.023008422926068306,
0.028623461723327637,
-0.058910638093948364,
0.03505145013332367,
0.008654153905808926,
-0.02658163011074066,
-0.02378356270492077,
0.036469392478466034,
0.07743837684392929,
0.06261618435382843,
-0.004010403994470835,
0.024445267394185066,
-0.049079593271017075,
0.06635954231023788,
-0.010747977532446384,
-0.05157516896724701,
-0.024899009615182877,
0.030362799763679504,
0.05108361691236496,
0.026468195021152496,
0.06809888035058975,
0.020191451534628868,
0.034673333168029785,
0.012874886393547058,
-0.04023165628314018,
0.006479981355369091,
0.0424625463783741,
0.010606183670461178,
0.02280045859515667,
0.007326018065214157,
0.09747857600450516,
-0.040193844586610794,
0.00604987284168601,
0.03524051234126091,
-0.005279459524899721,
0.02221437729895115,
0.007477264851331711,
-0.012506222352385521,
-0.015616234391927719,
-0.03352007642388344,
-0.03459770977497101,
-0.03178073838353157,
0.0008194505935534835,
-0.009112621657550335,
-0.026676159352064133,
0.026127889752388,
0.0017310671973973513,
-0.006503613665699959,
-0.021155649796128273,
0.009476559236645699,
0.002623187145218253,
0.03223447874188423,
-0.01066290121525526,
0.03902168199419975,
0.019813334569334984,
-0.01593763381242752,
0.025730866938829422,
-0.052633896470069885,
-0.021571578457951546,
-0.01676003821194172,
-0.009764873422682285,
0.008091704919934273,
-0.0395132340490818,
0.02123127318918705,
-0.01898147724568844,
-0.042802851647138596,
0.046168092638254166,
0.00018182113126385957,
-0.012855980545282364,
0.04095007851719856,
0.04752931371331215,
-0.017686426639556885,
-0.004920248407870531,
-0.012865433469414711,
-0.016485903412103653,
0.02881252020597458,
-0.02289498783648014,
0.007288206368684769,
0.0030225731898099184,
0.03412506356835365,
0.010823600925505161,
-0.008862119168043137,
-0.016145598143339157,
-0.010360407643020153,
-0.01952974684536457,
0.0060593257658183575,
0.0058466349728405476,
-0.03316086530685425,
0.03325539454817772,
0.0023774111177772284,
-0.03645048663020134,
0.07089695334434509,
0.020267074927687645,
0.03828435391187668,
0.024123867973685265,
0.0009411569917574525,
0.023594504222273827,
-0.012600751593708992,
0.0010433667339384556,
0.004962786566466093,
0.008663606829941273,
-0.028623461723327637,
-0.00006893990212120116,
-0.04730244353413582,
0.06375053524971008,
0.024861197918653488,
-0.00907953642308712,
0.02083425037562847,
-0.03739577904343605,
0.02886923775076866,
0.059855930507183075,
0.0004927337868139148,
-0.002731895772740245,
0.004724100232124329,
-0.002507388824597001,
0.02325419895350933,
-0.011929593048989773,
-0.01952974684536457,
0.005099853966385126,
-0.005983702372759581,
-0.022479059174656868,
0.03374694660305977,
-0.007737220264971256,
0.012912698090076447,
0.008342207409441471,
-0.052255779504776,
0.02903939038515091,
-0.015323193743824959,
-0.034767862409353256,
-0.09127745777368546,
-0.005525235552340746,
-0.036790791898965836,
-0.07373283058404922,
-0.004717010539025068,
-0.02697865292429924,
-0.03370913490653038,
-0.026903029531240463,
-0.047642748802900314,
0.0258064903318882,
0.01806454360485077,
0.06117933988571167,
-0.0480208657681942,
0.01597544550895691,
0.013404250144958496,
-0.03603455796837807,
-0.029833436012268066,
0.05403292924165726,
0.062464937567710876,
0.03132699802517891,
0.008583256974816322,
-0.004487777128815651,
0.03576987609267235,
0.0017676972784101963,
0.0042987181805074215,
0.014822188764810562,
0.003868610132485628,
-0.04469343647360802,
-0.02832096815109253,
-0.026562724262475967,
0.016088880598545074,
-0.016126692295074463,
0.008361113257706165,
-0.03762264922261238,
-0.01131515298038721,
0.005780464503914118,
-0.03334992378950119,
-0.08742066472768784,
-0.01711924932897091,
0.005827729124575853,
-0.03699875622987747,
0.03316086530685425,
0.026997558772563934,
-0.05149954557418823,
-0.01277090422809124,
-0.024426361545920372,
0.03586440533399582,
-0.04609246924519539,
0.011277341283857822,
0.0013482236536219716,
-0.05221796780824661,
-0.023140763863921165,
-0.02306514047086239,
0.0015502800233662128,
-0.019851146265864372,
0.04276503995060921,
0.009802685119211674,
-0.10481405258178711,
-0.01606997475028038,
0.02966328337788582,
-0.04684870317578316,
-0.006706851534545422,
-0.004523225594311953,
0.0018409574404358864,
-0.0092260567471385,
0.0010226884623989463,
-0.0339738167822361,
-0.006914815865457058,
0.012648016214370728,
0.04363470897078514,
0.008148422464728355,
0.013045039027929306,
-0.04291628673672676,
0.03145933896303177,
0.007373282685875893,
0.03342554718255997,
-0.06341022998094559,
-0.0496467724442482,
0.038227636367082596,
-0.06548987329006195,
-0.029152825474739075,
0.004934427794069052,
-0.01072907168418169,
0.01574857532978058,
-0.03758483752608299,
-0.052633896470069885,
0.06182213872671127,
0.01329081505537033,
0.034181781113147736,
-0.017903843894600868,
0.01851828396320343,
-0.025957737118005753,
0.014453524723649025,
-0.01793220266699791,
0.027054276317358017,
0.006716304458677769,
-0.012506222352385521,
0.02459651604294777,
0.03533504158258438,
-0.052142344415187836,
0.0346355214715004,
0.03291508927941322,
0.035221606492996216,
0.020531756803393364,
0.0395132340490818,
-0.02414277382194996,
-0.0006126678199507296,
-0.0060593257658183575,
-0.1188800036907196,
0.0032801656052470207,
-0.011126094497740269,
0.031119033694267273,
-0.03355788812041283,
0.03174292668700218,
-0.08250514417886734,
-0.004551584366708994,
-0.03818982467055321,
-0.011910687200725079,
0.020002393051981926,
-0.0021493590902537107,
-0.008356386795639992,
0.018055090680718422,
-0.0102091608569026,
0.03231010213494301,
-0.006120769772678614,
-0.027300052344799042,
-0.014113219454884529,
0.007912099361419678,
0.011456946842372417,
0.017383931204676628,
0.04151725396513939,
-0.007505623623728752,
-0.030816540122032166,
0.008063346147537231,
-0.036960944533348083,
-0.009646711871027946,
0.028434403240680695,
0.046168092638254166,
-0.006021514069288969,
0.042084429413080215,
0.009831043891608715,
-0.015020700171589851,
-0.005993155296891928,
0.01254403404891491,
-0.10073038935661316,
0.0092260567471385,
-0.04529842361807823,
-0.011929593048989773,
-0.01969989947974682,
-0.00031667304574511945,
0.00984994973987341,
0.006409084424376488,
-0.00001612720916455146,
0.01613614521920681,
0.008507633581757545,
-0.0018811323679983616,
0.024161679670214653,
0.011248982511460781,
0.02185516618192196,
-0.011296247132122517,
-0.061065904796123505,
0.0194352176040411,
-0.0006315736682154238,
-0.06583017855882645,
-0.015361005440354347,
-0.013243550434708595,
0.05902407318353653,
-0.08530320972204208,
-0.018414301797747612,
0.01486000046133995,
-0.021874072030186653,
-0.01164600532501936,
-0.0502895712852478,
0.02590101957321167,
-0.02083425037562847,
0.034805674105882645,
0.04855022951960564,
0.008299669250845909,
-0.0017476098146289587,
-0.010199707932770252,
0.0054023475386202335,
-0.024993538856506348,
-0.04389939084649086,
0.02348106913268566,
0.038492318242788315,
-0.04121476039290428,
0.02567414939403534,
-0.0021907156333327293,
0.0015160130569711328,
0.03115684539079666,
-0.0013683111174032092,
-0.0020205629989504814,
0.029096107929944992,
-0.013772914186120033,
-0.04178193584084511,
-0.005492150317877531,
0.07331690192222595,
-0.0032423539087176323,
-0.04722682014107704,
0.019813334569334984,
0.034805674105882645,
0.04197099432349205,
-0.0385490357875824,
0.008914110250771046,
-0.0365828275680542,
-0.06946010142564774,
-0.015181399881839752,
0.011211170814931393,
-0.01108828280121088,
-0.028415497392416,
0.0005973068182356656,
0.0220442246645689,
-0.04144163057208061,
0.061557456851005554,
-0.004152197856456041,
0.0004820992471650243,
-0.022025318816304207,
-0.014264466241002083,
0.024861197918653488,
0.0005376351764425635,
-0.015691857784986496,
-0.00019644363783299923,
0.0027129899244755507,
-0.001471111667342484,
0.045714352279901505,
0.019179988652467728,
-0.015899822115898132,
0.05354137718677521,
-0.010776336304843426,
0.03582659363746643,
0.022252188995480537,
0.0217228252440691,
0.0021706281695514917,
0.03414396941661835,
0.0066973986104130745,
0.011438040994107723,
-0.024880103766918182,
-0.019227253273129463,
0.020456133410334587,
-0.033009618520736694,
0.04193318262696266,
0.009410388767719269,
-0.0019390315283089876,
0.01825360208749771,
-0.022365624085068703,
-0.02590101957321167,
0.01577693410217762,
-0.059137508273124695,
-0.024634327739477158,
-0.018414301797747612,
-0.032990712672472,
-0.022497965022921562,
0.015030153095722198,
-0.012458957731723785,
-0.016665508970618248,
-0.03482457995414734,
0.04794524237513542,
-0.0032825288362801075,
0.043748144060373306,
-0.007179497741162777,
0.04582778736948967,
0.024936821311712265,
-0.026638347655534744,
-0.001739338506013155,
0.013772914186120033,
-0.016542620956897736,
0.009339491836726665,
-0.017109796404838562,
0.016637150198221207,
-0.002152903936803341,
0.012496769428253174,
0.006026240531355143,
-0.03936198726296425,
-0.0090653570368886,
-0.030419517308473587,
0.0007385098724626005,
-0.007042430341243744,
-0.01676003821194172,
0.01398087851703167,
-0.0045563108287751675,
-0.003870973363518715,
0.046697456389665604,
0.06817450374364853,
-0.005028957035392523,
0.022479059174656868,
-0.03533504158258438,
-0.013876896351575851,
0.007893193513154984,
-0.02586320787668228,
-0.03520270064473152,
0.02410496212542057,
-0.022970611229538918,
-0.022554682567715645,
-0.043748144060373306,
0.001343497191555798,
0.020323792472481728,
-0.011787799187004566,
0.008342207409441471,
0.022252188995480537,
0.004761911928653717,
-0.004026946611702442,
-0.03989135101437569,
-0.047113385051488876,
-0.01786603219807148,
0.0003225811233278364,
-0.009897214360535145,
0.040912266820669174,
-0.03834107145667076,
0.007751399651169777,
0.028717990964651108,
-0.029701095074415207,
0.01056837197393179,
0.01757299154996872,
0.004478324204683304,
-0.026468195021152496,
0.022327812388539314,
0.017365025356411934,
0.0587972030043602,
0.060574352741241455,
-0.010332048870623112,
0.0011160362046211958,
-0.017383931204676628,
-0.016968002542853355,
-0.019643181934952736,
-0.013801272958517075,
-0.028888143599033356,
-0.033690229058265686,
0.007680502720177174,
-0.04318096861243248,
0.02922844886779785,
-0.007255121134221554,
0.03096778690814972,
-0.022592494264245033,
-0.027753792703151703,
0.0440884493291378,
0.04367252066731453,
-0.007694682106375694,
0.04862585291266441,
0.0021091841626912355,
0.016977455466985703,
0.05006270110607147,
-0.011863422580063343,
0.001171572133898735,
0.01299777440726757,
0.00023248291108757257,
-0.052407026290893555,
0.008209866471588612,
0.005964796524494886,
-0.01407540775835514,
0.0051802038215100765,
-0.0026515459176152945,
0.03217776119709015,
0.0839419886469841,
0.019312329590320587,
0.002453034510836005,
-0.021080026403069496,
0.02113674394786358,
0.032385725528001785,
0.08923562616109848,
-0.005014777649194002,
0.053087636828422546,
-0.007779758423566818,
0.013583855703473091,
0.0382087305188179,
0.01897202432155609,
-0.01867898367345333,
0.022781552746891975,
-0.003755175042897463,
0.03905949369072914,
0.003816619049757719,
0.013082850724458694,
0.006886457093060017,
0.024161679670214653,
0.03374694660305977,
0.012714186683297157,
0.009348944760859013,
0.040382903069257736,
0.011570381931960583,
0.035580817610025406,
-0.004910795483738184,
0.025655243545770645,
0.02351888082921505,
0.0002445944701321423,
-0.02446417324244976,
0.03370913490653038,
0.009523823857307434,
-0.014330636709928513,
-0.03142152726650238,
0.045941222459077835,
-0.04125257208943367,
-0.04983583092689514,
-0.013498779386281967,
0.018414301797747612,
0.007959363982081413,
-0.036166898906230927,
0.009448200464248657,
0.015039606019854546,
0.011957951821386814,
0.023329822346568108,
-0.028075192123651505,
0.002637366531416774,
-0.013697290793061256,
0.03334992378950119,
0.009868855588138103,
-0.013271909207105637,
-0.025333844125270844,
-0.02077753283083439,
0.020909873768687248,
0.017951108515262604,
0.014330636709928513,
0.049079593271017075,
-0.021212367340922356,
-0.019643181934952736,
0.0038095293566584587,
0.006409084424376488,
-0.01450078934431076,
-0.0028429676312953234,
-0.025598526000976562,
0.008583256974816322,
-0.0007373282569460571,
0.021382519975304604,
0.025882113724946976,
-0.000276941224001348,
-0.037906236946582794,
-0.023575598374009132,
0.02159048430621624,
0.014387354254722595,
0.004835172090679407,
0.06023404747247696,
0.029738906770944595,
0.006669039838016033,
0.032064326107501984,
0.00816732831299305,
-0.03890824690461159,
0.013092303648591042,
-0.027526922523975372,
-0.03221557289361954,
-0.019605370238423347,
-0.023670127615332603,
-0.011627099476754665,
-0.021061120554804802,
-0.026241324841976166,
0.033104147762060165,
-0.015134135261178017,
0.010643995366990566,
0.04647058621048927,
-0.03474895656108856,
-0.00022037135204300284,
0.008044440299272537,
-0.00131277518812567,
-0.0070471568033099174,
-0.011589287780225277,
-0.012950509786605835,
0.007014071568846703,
-0.028472214937210083,
0.022724835202097893,
0.03847341239452362,
0.02472885698080063,
-0.058381274342536926,
-0.039929162710905075,
0.0056670294143259525,
-0.022497965022921562,
0.034446462988853455,
-0.03749030828475952,
0.0248233862221241,
0.014415713027119637,
-0.013063944876194,
0.035977840423583984,
-0.04072320833802223,
-0.0066973986104130745,
0.007751399651169777,
0.0005665848148055375,
0.013650026172399521,
-0.01157983485609293,
-0.0020595563109964132,
-0.04265160486102104,
0.08968936651945114,
-0.011920140124857426,
0.016778944060206413,
0.031931985169649124,
-0.03890824690461159,
-0.02508806809782982,
-0.021477049216628075,
0.035032544285058975,
0.02109893225133419,
0.031308092176914215,
0.015020700171589851,
0.014614224433898926,
-0.0440884493291378,
0.0063901785761117935,
-0.02518259733915329,
0.050932370126247406,
-0.038946058601140976,
0.028566744178533554,
0.03815201297402382,
0.013631120324134827,
-0.010483295656740665,
-0.09921792149543762,
0.017516272142529488,
-0.016901832073926926,
-0.007307112216949463,
0.0074489060789346695,
-0.060574352741241455,
0.031345903873443604,
0.04941990226507187,
-0.030003588646650314,
-0.03187526762485504,
0.025560714304447174,
0.001980388071388006,
0.02989015355706215,
0.020701909437775612,
-0.03807638958096504,
-0.00994447898119688,
-0.0040553053840994835,
0.0028736896347254515,
0.04510936513543129,
-0.029285166412591934,
0.05894844979047775,
-0.007831749506294727,
-0.042084429413080215,
0.054600104689598083,
0.0006587508250959218,
-0.0024045882746577263,
-0.0009689249563962221,
0.011371870525181293,
0.011551476083695889,
0.04923084378242493,
0.015351552516222,
0.0342952162027359,
0.001501833670772612,
-0.011438040994107723,
-0.0050951275043189526,
0.019416311755776405,
-0.0041498346254229546,
-0.015275929123163223,
-0.025466185063123703,
-0.028264250606298447,
-0.0026208239141851664,
-0.032971806824207306,
-0.01613614521920681,
0.021703919395804405,
0.03851122409105301,
0.01992676965892315,
-0.02639257162809372,
-0.051650792360305786,
-0.006125496234744787,
0.020531756803393364,
-0.006130222696810961,
0.003679551649838686,
-0.07388407737016678,
-0.010086272843182087,
0.021080026403069496,
-0.012884339317679405,
-0.009400935843586922,
0.006853371858596802,
0.020437227562069893,
0.021080026403069496,
0.0006244839751161635,
0.04851241782307625,
-0.004327076952904463,
-0.028226438909769058,
-0.007765579037368298,
-0.015493346378207207,
-0.000386092986445874,
0.01988895796239376,
0.02240343578159809,
-0.02652491256594658,
0.0008761681383475661,
0.03191307932138443,
0.007014071568846703,
0.012213180772960186,
-0.011721628718078136,
0.02230890654027462,
-0.01131515298038721,
-0.019870052114129066,
-0.0030296628829091787,
0.03590221703052521,
0.004194736015051603,
-0.016514262184500694,
0.01770533248782158,
-0.01499234139919281,
-0.038359977304935455,
-0.033141959458589554,
-0.036828603595495224,
-0.06170870363712311,
-0.011362417601048946,
-0.0038426145911216736,
-0.019019288942217827,
0.010974847711622715,
-0.0033888742327690125,
0.05055425316095352,
0.03586440533399582,
-0.02994687110185623,
-0.007992449216544628,
0.041139136999845505,
-0.002467213897034526,
0.012525128200650215,
-0.005312544759362936,
-0.01492617093026638,
0.0011432133615016937,
-0.04000478610396385,
-0.000973060610704124,
0.00124305987264961,
0.017175966873764992,
-0.03612908720970154,
0.030495140701532364,
0.015493346378207207,
0.005874993745237589,
0.0204183217138052,
0.04919303208589554,
0.013120662420988083,
0.004991145338863134,
-0.0006912452518008649,
-0.013631120324134827,
-0.0016152688767760992,
0.020361604169011116,
-0.0578140988945961,
-0.021306896582245827,
0.021117838099598885,
-0.0058891731314361095,
-0.01209974568337202,
-0.032064326107501984,
-0.013839084655046463,
0.027905039489269257,
-0.005851361434906721,
-0.04726463183760643,
-0.06159526854753494,
0.010766883380711079,
-0.04824773594737053,
-0.005851361434906721,
-0.005227468442171812,
-0.05149954557418823,
0.01923670619726181,
-0.023594504222273827,
-0.01557842269539833,
0.006267290562391281,
0.04526061192154884,
-0.003880426287651062,
-0.006763569079339504,
-0.04386157914996147,
-0.018801871687173843,
-0.02858565002679825,
-0.002509752055630088,
-0.03057076409459114,
0.014236107468605042,
-0.012024122290313244,
0.022743741050362587,
-0.015956539660692215,
-0.01708143763244152,
0.034540992230176926,
0.022781552746891975,
-0.030646387487649918,
0.016712773591279984,
-0.04095007851719856,
0.014510242268443108,
-0.06049872934818268,
0.019586464390158653,
0.03834107145667076,
-0.018244149163365364,
0.033368829637765884,
-0.030306082218885422,
0.04363470897078514,
-0.0005689480458386242,
-0.037282343953847885,
0.03446536883711815,
-0.03128918632864952,
0.003974955528974533,
0.02557962015271187,
-0.007066062651574612,
-0.026449289172887802,
-0.0002476962108630687,
-0.0034077800810337067,
-0.017970014363527298,
0.01427391916513443,
0.05974249541759491,
-0.0480208657681942,
-0.014084860682487488,
-0.006030966993421316,
-0.030589669942855835,
0.00826185755431652,
-0.013564949855208397,
-0.014841094613075256,
-0.02155267260968685,
-0.05448666960000992,
0.0007727767806500196,
-0.020947685465216637,
-0.024067150428891182,
-0.0032163583673536777,
-0.011976857669651508,
-0.026449289172887802,
-0.035940028727054596,
0.02792394533753395,
-0.03546738252043724,
0.024861197918653488,
-0.01486000046133995,
0.004397974349558353,
-0.0538816824555397,
-0.018707342445850372,
-0.0023348729591816664,
0.0062956493347883224,
-0.02818862721323967,
0.020815344527363777,
0.013007227331399918,
-0.029814530164003372,
-0.0009133890271186829,
0.029965776950120926,
-0.032782748341560364,
-0.01332862675189972,
0.017676973715424538,
-0.02818862721323967,
-0.004509046208113432,
0.011664911173284054,
0.00617276132106781,
0.013602761551737785,
0.01193904597312212,
-0.05078112334012985,
-0.008847939781844616,
-0.011844516731798649,
0.04023165628314018,
-0.004776091314852238,
0.014283372089266777,
0.011674364097416401,
-0.01492617093026638,
-0.03147824481129646,
-0.012562939897179604,
-0.005908078979700804,
-0.019416311755776405,
0.03662063926458359,
0.033368829637765884,
-0.05187766253948212,
-0.03486239165067673,
-0.02688412368297577,
0.000735555833671242,
0.016117239370942116,
-0.08636193722486496,
0.04730244353413582,
0.007288206368684769,
-0.009698702953755856,
-0.004610665142536163
] |
Molecular property prediction is a critical task in computational drug
discovery. While recent advances in Graph Neural Networks (GNNs) and
Transformers have shown to be effective and promising, they face the following
limitations: Transformer self-attention does not explicitly consider the
underlying molecule structure while GNN feature representation alone is not
sufficient to capture granular and hidden interactions and characteristics that
distinguish similar molecules. To address these limitations, we propose SYN-
FUSION, a novel approach that synergistically combines pre-trained features
from GNNs and Transformers. This approach provides a comprehensive molecular
representation, capturing both the global molecule structure and the individual
atom characteristics. Experimental results on MoleculeNet benchmarks
demonstrate superior performance, surpassing previous models in 5 out of 7
classification datasets and 4 out of 6 regression datasets. The performance of
SYN-FUSION has been compared with other Graph-Transformer models that have been
jointly trained using a combination of transformer and graph features, and it
is found that our approach is on par with those models in terms of performance.
Extensive analysis of the learned fusion model across aspects such as loss,
latent space, and weight distribution further validates the effectiveness of
SYN-FUSION. Finally, an ablation study unequivocally demonstrates that the
synergy achieved by SYN-FUSION surpasses the performance of its individual
model components and their ensemble, offering a substantial improvement in
predicting molecular properties. | [
-0.017183378338813782,
0.00525351706892252,
-0.02338544651865959,
-0.003869452513754368,
0.024261033162474632,
-0.014027619734406471,
-0.0015094741247594357,
0.019262894988059998,
-0.026486482471227646,
0.037248894572257996,
0.013252361677587032,
-0.004120271187275648,
0.026851309463381767,
-0.06132751330733299,
-0.04633310064673424,
0.03900006785988808,
-0.029058516025543213,
-0.012933137826621532,
-0.05034620314836502,
-0.05187848210334778,
-0.0004155614005867392,
-0.027617447078227997,
0.01441068947315216,
-0.036008480936288834,
0.0424659289419651,
0.007775387726724148,
0.01371751632541418,
0.016745585948228836,
-0.06209365278482437,
0.07829199731349945,
0.031028585508465767,
0.020266171544790268,
0.026595929637551308,
-0.010452309623360634,
-0.005490655079483986,
0.01063472405076027,
0.07044820487499237,
0.052170343697071075,
0.021214723587036133,
0.026231102645397186,
0.02542848140001297,
0.004117991309612989,
0.004293564707040787,
0.008641852997243404,
0.014346844516694546,
-0.03391072154045105,
-0.04764648154377937,
-0.029003791511058807,
0.006740189623087645,
-0.02238217182457447,
-0.0310103427618742,
-0.0042342799715697765,
-0.006366241257637739,
0.038525789976119995,
-0.0186518095433712,
0.09179061651229858,
0.039547309279441833,
0.037394825369119644,
0.06435558199882507,
0.07274661958217621,
0.005353844724595547,
-0.04166330769658089,
-0.03267030790448189,
-0.03327227383852005,
-0.0013521421933546662,
0.012440619990229607,
0.023111825808882713,
-0.043852273374795914,
0.024571137502789497,
0.0051167067140340805,
-0.024242792278528214,
0.02933213673532009,
0.00629783608019352,
-0.027544481679797173,
-0.008641852997243404,
-0.016034170985221863,
0.027234379202127457,
0.054067447781562805,
0.03361885994672775,
-0.035479482263326645,
0.03859875723719597,
0.08952868729829788,
-0.03303513675928116,
0.024826515465974808,
0.02882137894630432,
-0.005226154811680317,
-0.01867005042731762,
-0.0536661371588707,
-0.011364378966391087,
-0.001096762833185494,
-0.026267584413290024,
-0.011072516441345215,
-0.024188067764043808,
-0.026395274326205254,
0.0030645516235381365,
0.05713199824094772,
0.04009455069899559,
-0.007816431112587452,
-0.040276963263750076,
-0.004637870471924543,
0.027033723890781403,
-0.03075496479868889,
0.007944120094180107,
0.01731106825172901,
0.01922641322016716,
-0.020539792254567146,
0.005144068971276283,
0.027635687962174416,
0.0069955685175955296,
0.1373210996389389,
0.016727345064282417,
-0.04578585922718048,
0.010953947901725769,
0.006233991123735905,
-0.012276447378098965,
-0.06523116677999496,
-0.08952868729829788,
0.0018093166872859001,
-0.025008929893374443,
-0.04399820417165756,
0.03201362118124962,
0.04626013711094856,
-0.06169234216213226,
-0.0327797569334507,
-0.04034993052482605,
0.0858074426651001,
-0.02896730974316597,
-0.030280688777565956,
0.0030463102739304304,
0.041189033538103104,
-0.04107958450913429,
0.03972972184419632,
0.012924016453325748,
-0.010662085376679897,
0.016344275325536728,
-0.014337723143398762,
-0.0045763058587908745,
0.022728757932782173,
-0.05151365324854851,
-0.02705196477472782,
0.009138930588960648,
-0.008970198221504688,
-0.007852913811802864,
-0.0196094810962677,
0.039291929453611374,
-0.009905068203806877,
-0.041152551770210266,
0.11032386124134064,
0.03859875723719597,
0.028930826112627983,
-0.04753703251481056,
0.0324878953397274,
0.02351313643157482,
-0.006571456789970398,
-0.01984662003815174,
0.034093137830495834,
0.009107008576393127,
0.006708267144858837,
0.031812965869903564,
0.01441068947315216,
0.02506365440785885,
-0.03859875723719597,
0.021159999072551727,
0.014666068367660046,
0.03159406781196594,
0.023093584924936295,
-0.00018212875875178725,
0.001366963260807097,
-0.07227234542369843,
0.06493930518627167,
0.03263382613658905,
0.029915861785411835,
-0.009658809751272202,
0.02911324054002762,
-0.030262447893619537,
0.028547758236527443,
-0.011273171752691269,
-0.005969491321593523,
0.036482758820056915,
0.016125379130244255,
-0.00885618943721056,
-0.007474404759705067,
-0.018825102597475052,
0.04695330932736397,
0.011948103085160255,
0.05844537541270256,
0.04144441336393356,
0.04111606627702713,
0.036756377667188644,
0.06326109915971756,
0.04228351637721062,
0.01756644807755947,
0.03551596403121948,
-0.00270200427621603,
0.017985999584197998,
-0.012869292870163918,
-0.02001079171895981,
0.005600103177130222,
-0.042319998145103455,
-0.04122551530599594,
-0.02188965491950512,
-0.013389172032475471,
-0.002540112007409334,
-0.008742180652916431,
0.010014517232775688,
0.02477179281413555,
0.026340549811720848,
-0.024096861481666565,
-0.0007547370623797178,
-0.010269896127283573,
-0.01366279274225235,
-0.056730687618255615,
-0.010579999536275864,
-0.0382339283823967,
-0.001531135756522417,
0.005221594590693712,
0.0032264438923448324,
0.028420068323612213,
-0.004829404875636101,
0.020138481631875038,
-0.05815351381897926,
0.03507817164063454,
0.062421996146440506,
-0.008869870565831661,
0.05289999768137932,
0.045493997633457184,
-0.028128206729888916,
-0.02300237864255905,
0.007830111309885979,
0.021214723587036133,
0.019627723842859268,
0.04804779216647148,
-0.010351981967687607,
0.007063973695039749,
-0.028547758236527443,
-0.020576275885105133,
-0.0025241507682949305,
-0.06647158414125443,
-0.02730734460055828,
0.019025757908821106,
0.01259567216038704,
-0.008505042642354965,
0.030262447893619537,
-0.02489948272705078,
0.0767597183585167,
0.014967051334679127,
-0.031557586044073105,
0.06778496503829956,
0.01531363744288683,
0.04655199870467186,
0.010032758116722107,
-0.01775798201560974,
0.012358534149825573,
0.023622585460543633,
-0.06023303046822548,
-0.03449444845318794,
-0.0017796745523810387,
-0.03609968721866608,
-0.008514163084328175,
-0.06902537494897842,
0.04144441336393356,
-0.014064103364944458,
0.020922861993312836,
0.07610303163528442,
0.0005620624870061874,
0.023804999887943268,
0.06431910395622253,
-0.00935782678425312,
0.04666144773364067,
0.021543068811297417,
-0.018277861177921295,
-0.06187475472688675,
-0.02126944810152054,
-0.0004571745521388948,
-0.03288920596241951,
-0.0700833797454834,
0.06110861897468567,
0.022455137223005295,
0.06227606534957886,
0.007647697813808918,
0.0025720344856381416,
-0.024498172104358673,
-0.020466826856136322,
0.002350857714191079,
0.04582234472036362,
-0.03706648200750351,
0.011765689589083195,
-0.01037934422492981,
-0.06913482397794724,
-0.03420258313417435,
0.0018651809077709913,
-0.04323206841945648,
-0.035224102437496185,
-0.03613617271184921,
0.015742309391498566,
0.011747447773814201,
0.01308818906545639,
-0.02178020589053631,
0.014365085400640965,
-0.06213013455271721,
-0.06176530942320824,
-0.0019404266495257616,
0.016663499176502228,
-0.004186396487057209,
-0.021962620317935944,
0.05921151489019394,
0.05136772245168686,
0.12017419934272766,
-0.03790558502078056,
-0.027507998049259186,
0.04454544559121132,
-0.0069818878546357155,
0.016982723027467728,
0.015204189345240593,
-0.016617896035313606,
0.01745699904859066,
0.01873389631509781,
-0.06282331049442291,
0.025756826624274254,
-0.04159034416079521,
0.0008909773314371705,
-0.017374912276864052,
-0.05479710176587105,
0.016189223155379295,
0.010899223387241364,
0.04604123905301094,
-0.00933502521365881,
0.043195582926273346,
-0.021105274558067322,
0.058773722499608994,
0.01113636139780283,
-0.002004271373152733,
-0.035096410661935806,
0.012486224062740803,
-0.03084617108106613,
-0.037121206521987915,
-0.014438050799071789,
0.034968722611665726,
-0.03620913624763489,
-0.02641351707279682,
0.0012917176354676485,
-0.0485585480928421,
-0.017064809799194336,
0.013462137430906296,
-0.020904619246721268,
-0.03962027281522751,
-0.004446336068212986,
-0.007168861571699381,
0.02747151628136635,
-0.031940653920173645,
0.0008322629146277905,
-0.03841634467244148,
-0.03236020728945732,
0.019445309415459633,
-0.021451860666275024,
-0.006794913671910763,
0.015532533638179302,
-0.0389271005988121,
0.02730734460055828,
0.028365343809127808,
-0.014511017128825188,
-0.050054341554641724,
0.010643844492733479,
0.029167965054512024,
-0.12075792998075485,
-0.009449033997952938,
-0.034093137830495834,
-0.01143734436482191,
0.021214723587036133,
-0.023057103157043457,
-0.021688999608159065,
0.04870448261499405,
0.011300534009933472,
0.012604792602360249,
-0.00002875154859793838,
0.00015690435247961432,
-0.016617896035313606,
0.038015034049749374,
0.013836085796356201,
0.06990095973014832,
0.000057111192290904,
0.017830947414040565,
-0.0056365858763456345,
-0.016554052010178566,
0.018806861713528633,
0.03113803267478943,
0.04312261939048767,
-0.016927998512983322,
-0.05424986034631729,
0.02126944810152054,
0.02528255060315132,
-0.05439579114317894,
0.03693879023194313,
-0.002510469639673829,
0.012623034417629242,
-0.02225448191165924,
0.012805447913706303,
0.0392189621925354,
0.03606320545077324,
0.022363930940628052,
-0.06450151652097702,
0.027982274070382118,
-0.04151737689971924,
-0.028109963983297348,
-0.011683602817356586,
0.004453176632523537,
-0.0340566523373127,
-0.04199165478348732,
-0.01544132735580206,
-0.028365343809127808,
-0.009950672276318073,
-0.009950672276318073,
0.008609930984675884,
-0.058518342673778534,
0.05297296494245529,
-0.008892672136425972,
-0.04607772082090378,
0.006507611833512783,
0.00815389584749937,
0.024242792278528214,
0.03588079288601875,
-0.009061404503881931,
0.045858826488256454,
0.02581155113875866,
-0.01677294820547104,
0.0279640331864357,
0.008404714986681938,
-0.04173627495765686,
-0.04476434364914894,
0.012486224062740803,
0.0007929299026727676,
-0.0417727567255497,
0.04290372133255005,
-0.04341448098421097,
-0.011647120118141174,
-0.004108870401978493,
0.00730567192658782,
-0.03110155090689659,
-0.017110412940382957,
0.004407573025673628,
0.004742758348584175,
0.010032758116722107,
-0.02655944786965847,
-0.016791189089417458,
-0.01773061975836754,
-0.015787912532687187,
-0.014574861153960228,
-0.03330875560641289,
-0.039036549627780914,
-0.04804779216647148,
-0.0030827929731458426,
0.03354589641094208,
-0.0877775102853775,
-0.055088963359594345,
0.01948179304599762,
0.03427555039525032,
0.018387310206890106,
0.006110861897468567,
0.06884296238422394,
-0.03708472102880478,
-0.015359240584075451,
0.021397138014435768,
-0.004423534497618675,
-0.027507998049259186,
0.008842508308589458,
0.019700689241290092,
-0.05246220529079437,
-0.016672620549798012,
-0.002267631469294429,
0.0402039997279644,
0.03234196454286575,
0.015569016337394714,
0.036227378994226456,
-0.017146896570920944,
0.029514551162719727,
-0.03848930820822716,
0.02416982688009739,
-0.06731068342924118,
0.03613617271184921,
0.026796584948897362,
0.05705903097987175,
-0.00782099086791277,
0.022199757397174835,
-0.031557586044073105,
-0.008372792974114418,
0.037613723427057266,
0.02998882718384266,
-0.002916340483352542,
0.01760292984545231,
0.018387310206890106,
0.007921318523585796,
-0.049653030931949615,
-0.05731441080570221,
-0.01937234401702881,
0.04228351637721062,
-0.032068341970443726,
0.0024511851370334625,
-0.007378637790679932,
0.06643509864807129,
0.014775516465306282,
0.035224102437496185,
-0.05198792740702629,
0.03958379104733467,
0.03491399809718132,
0.020703963935375214,
0.05118530988693237,
-0.006024215370416641,
0.017046568915247917,
-0.026632413268089294,
0.014319482259452343,
0.0017739740433171391,
0.005139508284628391,
0.01920817233622074,
-0.004441775847226381,
-0.03972972184419632,
0.014064103364944458,
-0.01398201659321785,
0.029678722843527794,
-0.025775067508220673,
0.01973717100918293,
0.013936413452029228,
-0.014848481863737106,
0.006056137848645449,
0.04388875514268875,
-0.03527882695198059,
0.02570210210978985,
0.008564326912164688,
-0.03164879232645035,
0.03526058420538902,
-0.002151342574506998,
-0.04159034416079521,
0.001331620616838336,
-0.03640979155898094,
-0.0266871377825737,
-0.0020589956548064947,
-0.01049791369587183,
-0.00435284897685051,
-0.022455137223005295,
-0.03170351684093475,
0.009832102805376053,
-0.00714606000110507,
0.014492775313556194,
-0.05348372086882591,
0.0051851118914783,
0.037139445543289185,
0.005248956847935915,
0.07216289639472961,
-0.0569131001830101,
-0.011729206889867783,
0.009439913555979729,
-0.03513289615511894,
0.02022968977689743,
0.005846361629664898,
-0.01094482745975256,
-0.000010536889931245241,
-0.050674550235271454,
-0.015030896291136742,
-0.01702832616865635,
-0.009731775149703026,
0.0003913345863111317,
0.03133868798613548,
0.03505992889404297,
-0.019427068531513214,
-0.03279799968004227,
0.0019552477169781923,
-0.022728757932782173,
0.011145482771098614,
0.028274137526750565,
0.012550068087875843,
0.03365534171462059,
0.007474404759705067,
-0.02466234378516674,
-0.02717965468764305,
0.030134757980704308,
-0.011610637418925762,
0.03907303139567375,
0.024479929357767105,
-0.010178688913583755,
0.002923180814832449,
-0.003292568726465106,
0.018496757373213768,
-0.02402389608323574,
0.0060971807688474655,
0.015450447797775269,
0.00594212906435132,
-0.0007040032069198787,
-0.046989791095256805,
-0.06552302837371826,
-0.03932841122150421,
0.01233117189258337,
-0.024261033162474632,
0.024698827415704727,
0.017557326704263687,
-0.04994489625096321,
-0.060415446758270264,
-0.016864154487848282,
-0.005841801408678293,
-0.035333551466464996,
0.07865682244300842,
-0.06603378802537918,
-0.02112351730465889,
0.01530451700091362,
0.036355067044496536,
-0.03137516975402832,
0.02493596449494362,
0.027289101853966713,
-0.010324620641767979,
0.048777446150779724,
0.006603379268199205,
-0.027781618759036064,
0.036227378994226456,
0.021907895803451538,
0.0079623619094491,
-0.04465489462018013,
0.030572550371289253,
0.018104568123817444,
0.022491618990898132,
-0.0018024762393906713,
-0.006416405085474253,
-0.008591689169406891,
0.04184572398662567,
-0.04213758558034897,
0.06296923756599426,
0.008527844212949276,
0.015778793022036552,
0.006316077429801226,
0.0201019998639822,
-0.020539792254567146,
-0.03412961959838867,
-0.005518016871064901,
-0.03589903190732002,
-0.0009565323125571012,
-0.05640234425663948,
-0.006074379198253155,
0.05658475682139397,
-0.03569837659597397,
-0.010534396395087242,
0.01860620640218258,
0.03084617108106613,
0.04987192898988724,
-0.059649307280778885,
0.023622585460543633,
0.007415120489895344,
-0.0009593825088813901,
0.018341707065701485,
0.01202106848359108,
-0.004302685149013996,
0.009125249460339546,
0.045712895691394806,
0.0414808951318264,
0.011546792462468147,
0.007871154695749283,
-0.01384520623832941,
0.024060377851128578,
0.02201734483242035,
-0.026723619550466537,
0.004031344782561064,
0.024242792278528214,
0.027726896107196808,
0.020667482167482376,
0.01988310180604458,
0.03644627332687378,
-0.02072220668196678,
0.014045861549675465,
0.022929413244128227,
-0.027872826904058456,
-0.06701882183551788,
0.021433619782328606,
-0.015851758420467377,
0.01442893035709858,
0.017511723563075066,
-0.02935037761926651,
-0.03188592940568924,
0.048412617295980453,
0.02214503288269043,
-0.03918248042464256,
0.030700240284204483,
0.042830757796764374,
-0.01794951595366001,
-0.03947434201836586,
-0.05224330723285675,
0.011783930473029613,
-0.05643882602453232,
-0.03175824135541916,
-0.0014251077082008123,
0.008381913416087627,
0.011802172288298607,
-0.019664205610752106,
0.00311471545137465,
0.01933586224913597,
-0.016271309927105904,
-0.01630779169499874,
-0.00824966374784708,
0.009239258244633675,
-0.020977584645152092,
-0.011355258524417877,
-0.01924465410411358,
-0.012303809635341167,
0.010142206214368343,
-0.03316282480955124,
0.03983917087316513,
0.029569273814558983,
-0.01562374085187912,
-0.024370482191443443,
0.01701008528470993,
-0.017019206658005714,
0.023677309975028038,
-0.013297964818775654,
-0.0023166551254689693,
-0.003160318825393915,
-0.0074196807108819485,
0.030791446566581726,
0.014775516465306282,
0.021087033674120903,
0.009704413823783398,
0.0012939977459609509,
0.018022481352090836,
0.04337799921631813,
-0.03746779263019562,
0.029441585764288902,
-0.03188592940568924,
0.006220309995114803,
-0.010342861525714397,
-0.027982274070382118,
-0.00044263844029046595,
-0.016061533242464066,
0.008860750123858452,
0.00018768668815027922,
0.003142077475786209,
-0.020284412428736687,
0.0485585480928421,
-0.029806412756443024,
-0.023458413779735565,
0.01683679223060608,
-0.013918171636760235,
-0.0032697671558707952,
0.0005406858399510384,
0.04199165478348732,
-0.014784636907279491,
-0.04695330932736397,
0.010206051170825958,
0.03303513675928116,
-0.026358792558312416,
-0.012075792998075485,
-0.02099582739174366,
0.032050102949142456,
-0.02022968977689743,
0.018040724098682404,
-0.019445309415459633,
0.018642688170075417,
0.040897171944379807,
-0.020959343761205673,
0.04107958450913429,
-0.016034170985221863,
-0.017083050683140755,
-0.00021305360132828355,
0.01278720609843731,
-0.016444602981209755,
-0.04892337694764137,
-0.026778344064950943,
-0.003627754282206297,
0.0016850474057719111,
-0.006721947807818651,
0.06198420375585556,
0.031028585508465767,
-0.01379048265516758,
-0.05643882602453232,
-0.021798446774482727,
-0.015578137710690498,
-0.03301689401268959,
0.03743130713701248,
0.00975001696497202,
0.07252772152423859,
-0.026085171848535538,
0.006475689355283976,
0.0183325856924057,
-0.012623034417629242,
-0.012823688797652721,
-0.026103412732481956,
0.05972227454185486,
-0.01568758487701416,
-0.015340999700129032,
0.0031169955618679523,
0.04644254967570305,
0.006051577161997557,
0.0036573964171111584,
0.0266871377825737,
-0.025902757421135902,
-0.022108551114797592,
0.01662701740860939,
-0.042830757796764374,
-0.03582606837153435,
0.008564326912164688,
0.018305223435163498,
0.050674550235271454,
0.04239296540617943,
0.004261642228811979,
0.022035585716366768,
-0.030408378690481186,
-0.04418062046170235,
-0.018305223435163498,
-0.010324620641767979,
0.025884516537189484,
0.058481860905885696,
0.003511465387418866,
-0.04045937955379486,
-0.055198412388563156,
-0.01384520623832941,
0.012513585388660431,
-0.0005974051309749484,
0.009640568867325783,
-0.014146189205348492,
0.00994155090302229,
0.01265039574354887,
0.005600103177130222,
-0.02630406804382801,
-0.03848930820822716,
-0.006056137848645449,
-0.011911620385944843,
-0.00917541328817606,
0.012176120653748512,
0.010953947901725769,
-0.004466857761144638,
0.0013909051194787025,
-0.007734344340860844,
-0.05501599609851837,
0.06420965492725372,
0.02214503288269043,
0.06876999884843826,
-0.019007517024874687,
0.0009371508494950831,
0.020594516769051552,
-0.03250613808631897,
0.03834337741136551,
-0.013763120397925377,
0.04410765320062637,
0.0034704222343862057,
0.01460222341120243,
-0.02114175818860531,
0.031192757189273834,
-0.058518342673778534,
0.029897619038820267,
-0.036628689616918564,
-0.00651673274114728,
-0.017894793301820755,
-0.00352742662653327,
0.008194939233362675,
-0.010753292590379715,
0.020029034465551376,
0.03292568773031235,
-0.03841634467244148,
-0.0148667236790061,
0.045968275517225266,
0.006147344596683979,
0.010014517232775688,
-0.0031899611931294203,
0.0273255854845047,
0.04505620524287224,
0.01608889549970627,
0.002175284316763282,
0.0450197234749794,
0.0018024762393906713,
0.015851758420467377,
0.002806892152875662,
0.015477810055017471,
0.0207404475659132,
-0.014574861153960228,
-0.05100289359688759,
-0.019956069067120552,
-0.07219937443733215,
-0.021798446774482727,
-0.008213181048631668,
-0.02240041270852089,
0.005969491321593523,
0.03998510167002678,
0.009886827319860458,
-0.002797771478071809,
0.003598111914470792,
-0.008454878814518452,
-0.026723619550466537,
0.013872568495571613,
-0.03619089350104332,
0.02061275765299797,
-0.004448616411536932,
0.056876618415117264,
-0.026723619550466537,
0.025246068835258484,
-0.048777446150779724,
-0.025957481935620308,
-0.03513289615511894,
-0.06198420375585556,
0.03454916924238205,
-0.03462213650345802,
-0.01826873980462551,
0.009252939373254776,
-0.0337647907435894,
0.0029209007043391466,
0.017666775733232498,
-0.012586550787091255,
0.0063753616996109486,
0.02393268793821335,
-0.024479929357767105,
-0.013954654335975647,
-0.0514042042195797,
0.027380309998989105,
-0.007424240931868553,
0.009868585504591465,
-0.042794276028871536,
-0.005289999768137932,
0.03192241117358208,
-0.01234029233455658,
-0.015432205982506275,
0.013425654731690884,
0.006037896499037743,
-0.018232258036732674,
0.02530079148709774,
0.005440491251647472,
0.018487637862563133,
0.019007517024874687,
-0.03060903400182724,
-0.001891402993351221,
0.012568309903144836,
-0.030572550371289253,
0.024735309183597565,
-0.051805514842271805,
0.02099582739174366,
-0.03443972393870354,
0.04356041178107262,
0.00689524132758379,
0.018615327775478363,
-0.00017386313993483782,
0.027726896107196808,
0.024333998560905457,
-0.013772240839898586,
0.04082420468330383,
-0.046989791095256805,
-0.0029277412686496973,
-0.015149464830756187,
-0.00578251713886857,
0.004770120605826378,
-0.0237867571413517,
0.02998882718384266,
0.001989450305700302,
0.01278720609843731,
-0.028766654431819916,
-0.035990238189697266,
0.04808427393436432,
0.040787722915410995,
-0.023695550858974457,
0.026632413268089294,
-0.019025757908821106,
-0.004783801734447479,
0.009968913160264492,
-0.02101406827569008,
-0.028803136199712753,
-0.00714606000110507,
-0.010324620641767979,
0.005139508284628391,
0.0004571745521388948,
0.043450962752103806,
0.0028296939563006163,
0.0003842090372927487,
-0.036482758820056915,
-0.0005614924593828619,
-0.02933213673532009,
-0.005691309925168753,
-0.00822686217725277,
-0.017812706530094147,
-0.030007068067789078,
0.022746998816728592,
0.014684310182929039,
-0.01764853298664093,
0.06275033950805664,
0.02708844654262066,
0.010196930728852749,
-0.0076796202920377254,
0.01937234401702881,
-0.009859465062618256,
0.0130973095074296,
0.016855033114552498,
0.05009082704782486,
-0.020156722515821457,
0.045712895691394806,
-0.008359111845493317,
0.011747447773814201,
-0.035588931292295456,
0.008505042642354965,
-0.019901344552636147,
-0.0852237194776535,
-0.008760422468185425,
0.020685723051428795,
0.02342193014919758,
0.014365085400640965,
-0.023713791742920876,
-0.040313445031642914,
0.026522964239120483,
0.021688999608159065,
-0.000023888367650215514,
0.042684826999902725,
-0.0020122521091252565,
0.01157415471971035,
-0.06406372040510178,
-0.011318775825202465,
0.022692274302244186,
0.03630034253001213,
0.0225098617374897,
0.040532343089580536,
-0.012832810170948505,
-0.04487379267811775,
0.020047275349497795,
0.022582827135920525,
0.0044964998960494995,
-0.021433619782328606,
-0.000746756442822516,
-0.000228444769163616,
-0.03188592940568924,
0.001908504287712276,
0.022546343505382538,
-0.016335153952240944,
-0.0324878953397274,
0.015678465366363525,
-0.07373165339231491,
0.013507740572094917,
-0.041918687522411346
] |
Machine learning, and representation learning in particular, has the
potential to facilitate drug discovery by screening a large chemical space in
silico. A successful approach for representing molecules is to treat them as a
graph and utilize graph neural networks. One of the key limitations of such
methods is the necessity to represent compounds with different numbers of
atoms, which requires aggregating the atom's information. Common aggregation
operators, such as averaging, result in loss of information at the atom level.
In this work, we propose a novel aggregating approach where each atom is
weighted non-linearly using the Boltzmann distribution with a hyperparameter
analogous to temperature. We show that using this weighted aggregation improves
the ability of the gold standard message-passing neural network to predict
antibiotic activity. Moreover, by changing the temperature hyperparameter, our
approach can reveal the atoms that are important for activity prediction in a
smooth and consistent way, thus providing a novel, regulated attention
mechanism for graph neural networks. We further validate our method by showing
that it recapitulates the functional group in beta-Lactam antibiotics. The
ability of our approach to rank the atoms' importance for a desired function
can be used within any graph neural network to provide interpretability of the
results and predictions at the node level. | [
-0.054055433720350266,
-0.00590628432109952,
-0.015416848473250866,
-0.013040304183959961,
0.03942784667015076,
-0.021274900063872337,
-0.028992094099521637,
-0.0007859698962420225,
-0.00825213547796011,
0.018345873802900314,
-0.014136495999991894,
-0.013075381517410278,
0.0020290520042181015,
-0.019889313727617264,
-0.030693383887410164,
0.030816158279776573,
0.0066341557539999485,
-0.05461668595671654,
-0.034359052777290344,
-0.03432397544384003,
0.053809888660907745,
-0.055704109370708466,
0.04497019201517105,
0.024133769795298576,
0.04851308837532997,
0.011759950779378414,
0.002661554841324687,
0.0160044077783823,
-0.047390587627887726,
0.07317303121089935,
0.02776435948908329,
0.008655534125864506,
0.007651422172784805,
-0.0046083927154541016,
-0.0666835680603981,
0.007590035442262888,
0.06026426702737808,
0.039568156003952026,
0.026378771290183067,
0.018117867410182953,
0.0018032363150268793,
0.010076199658215046,
0.0014195690164342523,
-0.014890676364302635,
0.010654989629983902,
-0.0009301191894337535,
-0.008050436154007912,
-0.03798964247107506,
-0.0401294082403183,
-0.030202290043234825,
0.007191021461039782,
-0.002442316384986043,
0.022257089614868164,
0.0066034626215696335,
0.00566512206569314,
0.07148927450180054,
0.030903853476047516,
0.04286550357937813,
0.03918229788541794,
0.027834516018629074,
0.010277898982167244,
0.003619627095758915,
-0.04781152307987213,
-0.010795301757752895,
0.011365321464836597,
-0.017995093017816544,
0.02836068719625473,
-0.0334470197558403,
-0.020503181964159012,
0.023291895166039467,
-0.08909851312637329,
0.03521846607327461,
0.02385314553976059,
-0.027010178193449974,
0.020450564101338387,
0.017644312232732773,
0.05875590816140175,
0.022344784811139107,
0.005086332559585571,
-0.030202290043234825,
0.04297073930501938,
0.032798074185848236,
0.011242548003792763,
0.011672255583107471,
0.071208655834198,
-0.01506606675684452,
-0.008094283752143383,
-0.038270264863967896,
-0.050863321870565414,
-0.0011411361629143357,
-0.03777917101979256,
0.021765993908047676,
-0.048723556101322174,
0.02160814218223095,
0.002576051978394389,
0.03465721756219864,
0.007348873186856508,
0.007699654903262854,
-0.031745728105306625,
0.013022764585912228,
-0.013698019087314606,
-0.059878408908843994,
-0.0069410898722708225,
0.051810432225465775,
-0.0009060029406100512,
-0.04184823855757713,
-0.027694202959537506,
0.0007810370298102498,
0.006445610895752907,
0.15546637773513794,
-0.02490548975765705,
-0.015469466336071491,
-0.031044166535139084,
0.007493570446968079,
-0.020783806219697,
-0.006221987772732973,
-0.07317303121089935,
-0.011707333847880363,
-0.034955382347106934,
-0.024887951090931892,
0.02587013877928257,
0.03260514512658119,
-0.03192111849784851,
-0.038971830159425735,
-0.016916438937187195,
0.04861832037568092,
-0.024361778050661087,
-0.04472464695572853,
0.0045382361859083176,
0.010961922816932201,
-0.040059253573417664,
0.04640839621424675,
0.014662668108940125,
-0.06065012887120247,
0.011654716916382313,
-0.014154035598039627,
0.020205017179250717,
0.0010084969690069556,
-0.03627081215381622,
-0.056651219725608826,
-0.035288624465465546,
-0.0006527825025841594,
-0.007980279624462128,
-0.04381261393427849,
0.013741866685450077,
-0.005288031883537769,
-0.012084424495697021,
0.09337804466485977,
-0.03805979713797569,
0.02351990155875683,
-0.05837005004286766,
0.031166939064860344,
0.02516857534646988,
-0.042655035853385925,
-0.001672789454460144,
0.008997546508908272,
-0.001266102073714137,
-0.001410799566656351,
-0.0010331613011658192,
-0.013855870813131332,
0.03556924685835838,
-0.034341514110565186,
0.011979189701378345,
0.044794801622629166,
0.028202835470438004,
0.08601163327693939,
-0.0016026331577450037,
0.012970147654414177,
-0.08271428942680359,
0.06100090965628624,
0.030535534024238586,
0.0015730359591543674,
-0.02550181746482849,
0.04686441272497177,
-0.006208833307027817,
0.055949654430150986,
0.014320656657218933,
-0.024870410561561584,
0.0026308614760637283,
0.019152672961354256,
-0.03349963575601578,
0.028325609862804413,
0.02465994283556938,
0.056545983999967575,
-0.005779125727713108,
0.013855870813131332,
0.03146510571241379,
-0.007511109579354525,
0.0434267558157444,
0.051810432225465775,
0.019152672961354256,
-0.017389994114637375,
0.034341514110565186,
-0.0071515585295856,
-0.012303662486374378,
-0.016074564307928085,
-0.007975894957780838,
-0.052020903676748276,
0.019661305472254753,
-0.004069065675139427,
-0.03690221905708313,
-0.06661341339349747,
-0.02385314553976059,
-0.002128805499523878,
0.0448649600148201,
0.0025738596450537443,
0.026659397408366203,
-0.03809487447142601,
0.0419885516166687,
0.012470283545553684,
-0.024396855384111404,
-0.07703162729740143,
-0.07934678345918655,
-0.04974082112312317,
0.004775013774633408,
-0.019661305472254753,
0.027203109115362167,
0.02611568570137024,
-0.017995093017816544,
0.04654870927333832,
-0.02385314553976059,
0.0419885516166687,
0.1259305775165558,
-0.005024945363402367,
0.07941693812608719,
0.005836127791553736,
0.0004727329360321164,
-0.037323154509067535,
0.01037436444312334,
0.006059750914573669,
0.0012419859413057566,
0.04304089397192001,
0.012435205280780792,
-0.002587013877928257,
-0.02194138616323471,
-0.03844565525650978,
0.02371283248066902,
-0.05303816869854927,
-0.002795290434733033,
-0.01792493648827076,
-0.005516039673238993,
0.01887204684317112,
-0.007028785068541765,
-0.07240130752325058,
0.04402308166027069,
-0.026887405663728714,
-0.009848191402852535,
0.07219084352254868,
0.05682661011815071,
0.06573645770549774,
0.008313522674143314,
-0.0804692879319191,
0.008738845586776733,
-0.017591694369912148,
-0.062368959188461304,
-0.02183615043759346,
0.029991822317242622,
-0.023344511166214943,
0.04279534891247749,
-0.04093620553612709,
0.03809487447142601,
-0.013426163233816624,
-0.004910941701382399,
0.0325174480676651,
-0.006480689160525799,
-0.0341661237180233,
0.04019956290721893,
-0.034709833562374115,
0.0218186117708683,
0.05472192168235779,
-0.04184823855757713,
-0.030342603102326393,
-0.047776445746421814,
-0.009716648608446121,
-0.007682115770876408,
-0.03572709858417511,
0.033517174422740936,
-0.0023896992206573486,
0.02422146499156952,
-0.014101417735219002,
-0.02778189815580845,
-0.05647582933306694,
0.03085123561322689,
0.07640022039413452,
0.03307870030403137,
-0.010663758963346481,
-0.002878600964322686,
-0.015408079139888287,
-0.06650818139314651,
-0.028202835470438004,
-0.02776435948908329,
-0.007598805241286755,
-0.02897455543279648,
-0.0035582403652369976,
-0.011584560386836529,
-0.01671474054455757,
-0.01478544156998396,
-0.026536623015999794,
0.06763067841529846,
-0.015872864052653313,
-0.06577154248952866,
-0.025326427072286606,
0.006607847288250923,
0.005156488623470068,
0.018363414332270622,
-0.014040031470358372,
0.011654716916382313,
0.1111275926232338,
-0.0358147956430912,
0.02125736139714718,
0.0512491837143898,
0.04637331888079643,
0.011216240003705025,
-0.05230152606964111,
-0.010830380022525787,
0.008129362016916275,
-0.01755661703646183,
-0.07815412431955338,
-0.0028369456995278597,
-0.027238186448812485,
-0.028097601607441902,
-0.01899482123553753,
-0.04542620852589607,
0.02694002166390419,
-0.04353198781609535,
0.019135132431983948,
-0.004542620852589607,
0.005358187947422266,
-0.03562186658382416,
0.021625682711601257,
0.008502067998051643,
-0.015644855797290802,
-0.05552871897816658,
0.006590308155864477,
0.0010802975157275796,
-0.05710723623633385,
-0.03157033771276474,
0.031061705201864243,
-0.010453290306031704,
-0.021660760045051575,
-0.004617162048816681,
-0.02481779456138611,
-0.00043244787957519293,
-0.010567293502390385,
0.0025015107821673155,
-0.03634096682071686,
-0.05693184584379196,
0.03383287787437439,
0.03820011019706726,
0.01453989464789629,
0.0009317634394392371,
0.007888199761509895,
-0.04297073930501938,
0.02327435463666916,
0.0028413303662091494,
-0.013908487744629383,
0.008694997057318687,
-0.008107438683509827,
-0.0372529998421669,
0.05198582261800766,
0.007423414383083582,
-0.07310287654399872,
-0.021397674456238747,
-0.018486186861991882,
-0.10011304914951324,
0.031044166535139084,
-0.000983832636848092,
-0.015829017385840416,
0.016460424289107323,
-0.00877392292022705,
-0.005941362120211124,
0.02730834297835827,
-0.004880248103290796,
0.01429434772580862,
0.030938932672142982,
0.007524264045059681,
0.010891767218708992,
0.03144756332039833,
-0.07282225042581558,
0.04416339471936226,
0.0003631137078627944,
-0.03248237073421478,
0.03823518753051758,
-0.032692838460206985,
0.001285833539441228,
0.01614472083747387,
0.004687318112701178,
-0.059492550790309906,
0.03237713500857353,
0.04626808688044548,
0.013478781096637249,
-0.0619480200111866,
0.024256544187664986,
-0.04805707186460495,
0.02230970561504364,
-0.016460424289107323,
0.044900037348270416,
-0.0015796130755916238,
0.06243911385536194,
-0.02739603817462921,
-0.0010178146185353398,
-0.009067703038454056,
-0.01721460372209549,
0.0002924092987086624,
-0.02229216694831848,
-0.000516306608915329,
-0.0401294082403183,
-0.09204507619142532,
0.058334968984127045,
-0.05005652457475662,
-0.004823246039450169,
-0.03711268678307533,
0.004867094103246927,
0.010102508589625359,
0.014075109735131264,
-0.005318725015968084,
-0.08074991405010223,
-0.00139545276761055,
-0.0030035669915378094,
0.023677753284573555,
0.03634096682071686,
0.02918502502143383,
0.009769265539944172,
0.00278652086853981,
-0.0042488412000238895,
0.027203109115362167,
0.036130499094724655,
-0.0496005080640316,
0.0041523766703903675,
-0.06328099220991135,
0.0508282445371151,
0.020345330238342285,
-0.027588969096541405,
-0.019906852394342422,
-0.08032897114753723,
-0.015960559248924255,
-0.019064975902438164,
0.02099427580833435,
-0.03953307867050171,
-0.057142313569784164,
0.007528648711740971,
0.007129634730517864,
-0.06910396367311478,
-0.004775013774633408,
-0.022099237889051437,
0.011593329720199108,
0.012180889025330544,
0.009628953412175179,
-0.025466740131378174,
-0.04381261393427849,
-0.03795456141233444,
0.030921392142772675,
-0.04910941421985626,
-0.04258487746119499,
0.03574463725090027,
-0.0031833425164222717,
0.02504580281674862,
0.005897514522075653,
0.044689569622278214,
-0.04998636990785599,
0.009260633029043674,
0.020433025434613228,
0.004224725067615509,
-0.014425890520215034,
-0.02692248299717903,
0.019064975902438164,
-0.021695837378501892,
-0.027080334722995758,
0.027834516018629074,
0.000321458384860307,
-0.029360415413975716,
-0.033867958933115005,
-0.007191021461039782,
-0.018696656450629234,
0.007967125624418259,
-0.04019956290721893,
-0.009751726873219013,
-0.059282079339027405,
0.025466740131378174,
0.025343965739011765,
0.039918940514326096,
-0.01090930588543415,
0.01305784285068512,
-0.019906852394342422,
-0.06471919268369675,
0.004709242377430201,
0.0467240996658802,
-0.01625872403383255,
0.009699109941720963,
0.003757747355848551,
-0.02278326079249382,
-0.04037495702505112,
-0.05675645172595978,
0.008116208016872406,
0.03109678439795971,
0.0070901717990636826,
0.025659669190645218,
-0.026308614760637283,
0.07576881349086761,
0.04742566496133804,
0.007818043231964111,
-0.047776445746421814,
0.03160541504621506,
0.028150219470262527,
0.003685398492962122,
-0.0011816952610388398,
0.009339558891952038,
0.015381770208477974,
-0.01109346654266119,
0.03355225548148155,
0.007980279624462128,
-0.017047982662916183,
-0.04560159891843796,
0.007927662692964077,
-0.038621049374341965,
0.028781624510884285,
-0.007826813496649265,
-0.03558678552508354,
0.02173091657459736,
0.044689569622278214,
0.03485014662146568,
0.003005759324878454,
-0.033166393637657166,
0.04412831738591194,
-0.05717739090323448,
-0.007638268172740936,
0.007191021461039782,
-0.03655143827199936,
0.03192111849784851,
0.02360759675502777,
0.002174845663830638,
0.014908215031027794,
-0.04710996150970459,
-0.03258760645985603,
-0.014215421862900257,
0.035078153014183044,
-0.008830925449728966,
-0.002979450626298785,
0.038621049374341965,
0.006682388484477997,
0.006252680905163288,
0.008282829076051712,
-0.045285895466804504,
0.042655035853385925,
-0.01708306185901165,
-0.007756656967103481,
0.06892856955528259,
-0.04188331589102745,
-0.020573336631059647,
-0.017530307173728943,
-0.036586515605449677,
0.025221193209290504,
0.020222555845975876,
0.009102781303226948,
-0.018293257802724838,
-0.041707925498485565,
0.021923845633864403,
0.01068129763007164,
-0.024993184953927994,
0.004893402568995953,
0.02883424237370491,
0.02634369395673275,
-0.02704525738954544,
-0.04188331589102745,
-0.0035450858995318413,
-0.08117084950208664,
-0.015267767012119293,
0.018451109528541565,
0.03872628137469292,
0.022046620026230812,
0.03135986998677254,
-0.034113503992557526,
0.009032624773681164,
0.035183388739824295,
-0.006318452302366495,
0.03592003136873245,
0.008743230253458023,
-0.02858869545161724,
0.001450262381695211,
0.00044231361243873835,
0.039462924003601074,
-0.01767938956618309,
0.0279923677444458,
-0.009260633029043674,
0.02906225062906742,
-0.002266925759613514,
-0.007423414383083582,
-0.03160541504621506,
-0.03348209708929062,
-0.012680753134191036,
-0.054055433720350266,
0.024151308462023735,
-0.0066166166216135025,
0.004507542587816715,
-0.05479207634925842,
-0.015399309806525707,
-0.034359052777290344,
-0.03439413011074066,
0.04472464695572853,
-0.05366957560181618,
-0.02658924087882042,
0.0022099236957728863,
0.054055433720350266,
-0.00872569065541029,
-0.01567116566002369,
0.014592512510716915,
0.02576490491628647,
0.04118175432085991,
-0.02741357684135437,
-0.02611568570137024,
0.019906852394342422,
0.00023705158673692495,
0.008879157714545727,
-0.035428933799266815,
0.023642675951123238,
0.037568703293800354,
0.0194508358836174,
0.014653898775577545,
0.013391084969043732,
-0.015592239797115326,
0.03255252540111542,
-0.043602146208286285,
0.035306163132190704,
0.021643221378326416,
0.013408624567091465,
0.03014967404305935,
-0.00017155410023406148,
-0.008751999586820602,
0.022011540830135345,
-0.01472405530512333,
-0.03569202125072479,
-0.032447293400764465,
-0.056545983999967575,
0.005279262084513903,
0.05563395097851753,
-0.03570955991744995,
-0.01382079254835844,
0.0498109795153141,
0.023309433832764626,
0.0631757527589798,
-0.0590716116130352,
0.005936977453529835,
0.0067174662835896015,
-0.0029399876948446035,
0.01258428767323494,
0.008532760664820671,
-0.008405602537095547,
0.01525022741407156,
0.005375727079808712,
0.007362027652561665,
0.0016289417399093509,
0.018065249547362328,
-0.006506997626274824,
0.035183388739824295,
-0.01955607160925865,
-0.051810432225465775,
-0.007230484392493963,
0.01767938956618309,
0.0179073978215456,
0.039217375218868256,
0.00919924583286047,
0.023397129029035568,
0.006813931278884411,
-0.0014403966488316655,
0.0233620498329401,
-0.03014967404305935,
-0.029132407158613205,
0.05065285414457321,
0.01969638280570507,
0.06759560108184814,
0.008282829076051712,
-0.02220447175204754,
-0.04721519351005554,
0.044689569622278214,
0.022993730381131172,
-0.02494056709110737,
0.021783534437417984,
0.013803253881633282,
-0.026887405663728714,
-0.02623846009373665,
-0.0677008405327797,
-0.024274082854390144,
-0.04447909817099571,
0.005923823453485966,
-0.037568703293800354,
-0.0029684887267649174,
-0.016872592270374298,
0.036235734820365906,
-0.052020903676748276,
0.04009433090686798,
0.009944656863808632,
-0.017521537840366364,
0.0374634675681591,
-0.004586468450725079,
0.018363414332270622,
0.026045529171824455,
0.0010589217999950051,
-0.0009328596643172204,
-0.0025102803483605385,
-0.015846556052565575,
-0.014934523962438107,
0.004347498528659344,
-0.024151308462023735,
-0.01745138131082058,
-0.009628953412175179,
-0.0010364498011767864,
0.005257338285446167,
-0.00605536624789238,
-0.012014267966151237,
-0.0001929298450704664,
0.021765993908047676,
0.030202290043234825,
-0.023818066343665123,
0.01779339276254177,
-0.00259578344412148,
0.020433025434613228,
0.00129789172206074,
0.0043847691267728806,
-0.0022625408601015806,
0.025221193209290504,
-0.013627862557768822,
0.008822156116366386,
0.007489185780286789,
-0.06012395769357681,
0.024852871894836426,
-0.019854234531521797,
0.019029898568987846,
0.05016176030039787,
0.006892857141792774,
0.008699382655322552,
0.04784660041332245,
-0.035762179642915726,
-0.03060568869113922,
0.017846010625362396,
-0.005371342413127422,
-0.008624841459095478,
-0.037919484078884125,
0.056195203214883804,
0.0024730097502470016,
-0.04293566197156906,
0.01495206356048584,
0.0015346691943705082,
0.03942784667015076,
-0.03858596831560135,
0.00895808357745409,
0.040164485573768616,
-0.03048291616141796,
0.017503999173641205,
-0.02267802692949772,
0.012943838723003864,
0.009462332352995872,
-0.053353872150182724,
0.06717466562986374,
-0.022485096007585526,
-0.017293529585003853,
-0.0019884929060935974,
0.03404334932565689,
-0.006607847288250923,
-0.03095647133886814,
0.019292984157800674,
-0.011803798377513885,
0.004104143939912319,
0.01601317711174488,
0.04809214919805527,
0.0386912040412426,
0.0010309688514098525,
-0.06268466264009476,
0.003757747355848551,
-0.015039758756756783,
0.007414644584059715,
0.00691478094086051,
-0.016399037092924118,
0.04707488417625427,
0.005945747252553701,
-0.0019183364929631352,
0.022730642929673195,
0.007291871123015881,
-0.0024182002525776625,
-0.02622091956436634,
0.0559847354888916,
-0.025098418816924095,
-0.019906852394342422,
0.04497019201517105,
0.0384807363152504,
0.0021726530976593494,
-0.010058660991489887,
0.028080062940716743,
-0.04675918072462082,
-0.006186909507960081,
-0.017407534644007683,
-0.013627862557768822,
-0.05114394798874855,
-0.012172119691967964,
-0.016548119485378265,
0.04626808688044548,
0.021292438730597496,
0.03728807717561722,
-0.0065683843567967415,
-0.024730099365115166,
-0.03630588948726654,
0.04746074229478836,
-0.021029353141784668,
0.015373000875115395,
0.0155396219342947,
-0.03500799834728241,
-0.051424574106931686,
-0.05128426104784012,
0.0042356871999800205,
-0.030342603102326393,
-0.014469738118350506,
0.03000936098396778,
0.02148536965250969,
0.01565362699329853,
0.022222010418772697,
0.027624046429991722,
-0.007313794922083616,
-0.0353938564658165,
0.04391784965991974,
0.0013395469868555665,
-0.01215458009392023,
-0.02955334447324276,
-0.02430916018784046,
-0.006059750914573669,
-0.008743230253458023,
-0.0012211581924930215,
-0.004426424391567707,
0.03192111849784851,
0.000035831784771289676,
0.019889313727617264,
-0.007967125624418259,
0.03099154867231846,
0.008160055615007877,
-0.02101181447505951,
0.038515813648700714,
-0.02588767744600773,
0.036726828664541245,
0.022134315222501755,
0.011698564514517784,
-0.014820519834756851,
0.02906225062906742,
-0.04104144126176834,
0.025659669190645218,
-0.0325174480676651,
-0.008637995459139347,
-0.004915326368063688,
0.03777917101979256,
-0.006774468347430229,
-0.010646219365298748,
-0.005537963472306728,
0.030342603102326393,
-0.05282770097255707,
-0.043952926993370056,
0.010163894854485989,
-0.01603948511183262,
0.011365321464836597,
-0.027852054685354233,
0.011909033171832561,
0.005314340349286795,
-0.02323927730321884,
0.005222260020673275,
0.020099781453609467,
-0.0045557753182947636,
0.02395837940275669,
-0.046443477272987366,
0.03155279904603958,
0.004669779445976019,
-0.003968216013163328,
-0.03616557642817497,
-0.023923300206661224,
-0.001972049940377474,
0.027483733370900154,
-0.003053991822525859,
-0.015390540473163128,
0.04062050208449364,
0.028764085844159126,
0.021187204867601395,
-0.009707879275083542,
0.0070068612694740295,
-0.060229189693927765,
-0.029149945825338364,
-0.0173373781144619,
-0.02504580281674862,
0.0165130402892828,
0.004038372542709112,
0.03278053551912308,
-0.004963558632880449,
0.00036092131631448865,
-0.007752271834760904,
-0.05044238641858101,
-0.012864912860095501,
-0.02134505659341812,
0.021801073104143143,
-0.012777217663824558,
-0.00990080926567316,
0.02692248299717903,
0.003729246323928237,
0.052862778306007385,
0.018801890313625336,
-0.0041282600723207,
0.04760105535387993,
0.02576490491628647,
-0.021327517926692963,
-0.010725145228207111,
-0.004474657122045755,
0.07731225341558456,
0.010049890726804733,
-0.026378771290183067,
-0.020240094512701035,
0.037673939019441605,
-0.002367775421589613,
0.005327494814991951,
-0.03525354340672493,
0.010707606561481953,
0.0021967694628983736,
0.016337649896740913,
-0.0027733666356652975,
0.031991276890039444,
-0.010707606561481953,
0.0065508452244102955,
0.023397129029035568,
-0.0036985529586672783,
0.05331879481673241,
0.029641039669513702,
0.049775902181863785,
-0.031009087339043617,
-0.004630316514521837,
-0.012119501829147339,
0.040515266358852386,
0.029728734865784645,
-0.002779943635687232,
-0.01721460372209549,
-0.0013724328018724918,
0.003053991822525859,
0.0005417930660769343,
0.0009756111539900303,
-0.0317983478307724,
-0.007397105917334557,
0.003584548830986023,
0.007484801113605499,
-0.01335600670427084,
-0.05980825424194336,
0.005459037609398365,
0.0020981121342629194,
0.02301126904785633,
-0.008260905742645264,
-0.01769692823290825,
-0.0020827653352171183,
0.051424574106931686,
-0.02422146499156952,
0.02564213052392006,
0.003025490790605545,
0.015101145021617413,
-0.008120592683553696,
0.005840512458235025,
-0.013671710155904293,
0.018451109528541565,
0.004362845327705145,
-0.01707429066300392,
0.019012359902262688,
0.026992639526724815,
0.004112913738936186,
0.023572519421577454,
-0.013101690448820591,
-0.017740776762366295,
-0.04472464695572853,
0.024063613265752792,
-0.016434114426374435,
-0.04865340143442154,
-0.02729080431163311,
-0.003922176081687212,
-0.0010068526025861502,
-0.03307870030403137,
0.01405757013708353,
0.03358733281493187,
-0.03048291616141796,
-0.011663486249744892,
-0.029641039669513702,
-0.0005870109889656305,
-0.012645674869418144,
0.03264022246003151,
0.02018747851252556,
-0.015180070884525776,
0.025677207857370377,
-0.010497137904167175,
-0.001361470902338624,
0.004520697053521872,
0.008532760664820671,
0.022941112518310547,
-0.020678572356700897,
0.010988231748342514,
0.005972055718302727,
0.005901899188756943,
-0.009646492078900337,
-0.021292438730597496,
-0.05307324603199959,
0.02764158509671688,
0.005261722952127457,
0.003032068023458123,
0.00997096486389637,
-0.010795301757752895,
0.03805979713797569,
-0.009400945156812668,
0.01638149842619896,
0.04090112820267677,
0.039462924003601074,
0.0020148013718426228,
0.04118175432085991,
0.021046891808509827,
-0.04346183314919472,
0.0069060116074979305,
0.03721792250871658,
0.014925754629075527,
-0.02230970561504364,
0.016784897074103355,
-0.01139163039624691,
-0.01525899674743414,
-0.0019863005727529526,
-0.014820519834756851,
-0.027501272037625313,
-0.02362513728439808,
-0.008361754938960075,
-0.04079589247703552,
0.0013855870347470045,
-0.014881907030940056
] |
This paper investigates new families of compositional optimization problems,
called $\underline{\bf n}$on-$\underline{\bf s}$mooth $\underline{\bf
w}$eakly-$\underline{\bf c}$onvex $\underline{\bf f}$inite-sum $\underline{\bf
c}$oupled $\underline{\bf c}$ompositional $\underline{\bf o}$ptimization (NSWC
FCCO). There has been a growing interest in FCCO due to its wide-ranging
applications in machine learning and AI, as well as its ability to address the
shortcomings of stochastic algorithms based on empirical risk minimization.
However, current research on FCCO presumes that both the inner and outer
functions are smooth, limiting their potential to tackle a more diverse set of
problems. Our research expands on this area by examining non-smooth
weakly-convex FCCO, where the outer function is weakly convex and
non-decreasing, and the inner function is weakly-convex. We analyze a
single-loop algorithm and establish its complexity for finding an
$\epsilon$-stationary point of the Moreau envelop of the objective function.
Additionally, we also extend the algorithm to solving novel non-smooth
weakly-convex tri-level finite-sum coupled compositional optimization problems,
which feature a nested arrangement of three functions. Lastly, we explore the
applications of our algorithms in deep learning for two-way partial AUC
maximization and multi-instance two-way partial AUC maximization, using
empirical studies to showcase the effectiveness of the proposed algorithms. | [
-0.023014070466160774,
0.01872451789677143,
-0.04841320589184761,
-0.02764180302619934,
0.07069751620292664,
0.012521577067673206,
-0.051261041313409805,
0.006639016792178154,
-0.05442925542593002,
0.02516774646937847,
0.020130638033151627,
0.012103301472961903,
0.008018436841666698,
-0.028691943734884262,
-0.030347246676683426,
0.024028612300753593,
0.004445293452590704,
-0.018510930240154266,
0.022853881120681763,
-0.038516975939273834,
0.007831547409296036,
-0.0018210572889074683,
0.030222654342651367,
0.07881385087966919,
0.0013860949547961354,
0.0204510185867548,
0.028585148975253105,
-0.004520938731729984,
-0.04193437844514847,
0.022693689912557602,
0.039834100753068924,
0.0015129126841202378,
-0.04271753132343292,
0.05471403896808624,
-0.008757093921303749,
-0.04371427744626999,
0.04339389503002167,
0.0058113643899559975,
0.004587685223668814,
0.027125634253025055,
-0.048164017498493195,
-0.01564529724419117,
-0.006109497044235468,
0.0701279491186142,
0.05450045317411423,
-0.030507437884807587,
-0.00832991860806942,
-0.001733174896799028,
0.007720304187387228,
0.020077239722013474,
-0.0035664690658450127,
-0.026360277086496353,
0.0847231075167656,
-0.0234234482049942,
0.001432817312888801,
0.012218994088470936,
0.060872483998537064,
0.014114584773778915,
0.020949389785528183,
0.031504180282354355,
-0.0017053639749065042,
-0.02776639722287655,
-0.07194344699382782,
-0.014479463919997215,
0.009869529865682125,
0.005135003477334976,
0.035615742206573486,
0.025950901210308075,
0.05745508149266243,
-0.06101487576961517,
-0.10344762355089188,
-0.021002786234021187,
-0.002925706095993519,
0.014417167752981186,
-0.02878093719482422,
0.01884911209344864,
0.034156229346990585,
0.0394425205886364,
0.010830674320459366,
-0.00817862804979086,
-0.003559794509783387,
0.014862141571938992,
-0.005175051279366016,
0.020860394462943077,
0.025986500084400177,
-0.00869479775428772,
-0.06528662890195847,
-0.07354535162448883,
-0.004850219935178757,
0.011596030555665493,
-0.012922054156661034,
0.01653524488210678,
0.011373543180525303,
0.02150115743279457,
0.024651575833559036,
0.031949155032634735,
0.03584713116288185,
-0.004819071851670742,
-0.00724418181926012,
-0.0013449348043650389,
0.041436005383729935,
0.031504180282354355,
-0.006412079557776451,
0.012699566781520844,
0.035028375685214996,
-0.02954629436135292,
0.00897958129644394,
-0.01746969111263752,
-0.017540886998176575,
0.14822983741760254,
-0.03027605079114437,
0.03499278053641319,
-0.027143431827425957,
0.028140174224972725,
-0.03607851639389992,
0.023281056433916092,
-0.056529536843299866,
-0.07076871395111084,
0.06660375744104385,
-0.011062061414122581,
0.019507672637701035,
0.056102361530065536,
0.018128253519535065,
-0.012619471177458763,
-0.06510864198207855,
0.05809584632515907,
0.007373224012553692,
0.018777916207909584,
0.012672868557274342,
-0.006509974133223295,
-0.014061188325285912,
-0.021572353318333626,
0.007221932988613844,
-0.015253718942403793,
0.004431943874806166,
0.008966232649981976,
0.075966015458107,
-0.04442623630166054,
-0.03216274082660675,
-0.023797225207090378,
0.012930952943861485,
-0.01961446739733219,
0.021892735734581947,
0.018332941457629204,
0.0072975787334144115,
-0.0006040526204742491,
-0.0029479546938091516,
0.03568693995475769,
-0.012299089692533016,
0.029475098475813866,
-0.037199851125478745,
0.06240319460630417,
-0.02865634486079216,
0.025648318231105804,
0.05275615304708481,
0.003897974966093898,
0.039691708981990814,
-0.008405564352869987,
0.04997951537370682,
-0.05937737226486206,
0.07874265313148499,
-0.012610571458935738,
-0.03477919101715088,
0.03641669824719429,
0.010563690215349197,
0.007555663585662842,
0.003424077294766903,
0.017905766144394875,
-0.07432850450277328,
0.04125801846385002,
0.028602948412299156,
-0.017887966707348824,
-0.017078114673495293,
0.00478792330250144,
0.03315948694944382,
0.025327937677502632,
0.03730664402246475,
0.03894415125250816,
0.010216609574854374,
0.0075868116691708565,
-0.018172750249505043,
-0.03187795728445053,
0.04164959490299225,
-0.0022193093318492174,
-0.005321892444044352,
0.0102255092933774,
0.05902139097452164,
-0.007270880043506622,
0.032091546803712845,
-0.05044228583574295,
0.03246532380580902,
0.07368774712085724,
0.06040970981121063,
-0.028300365433096886,
0.016383953392505646,
-0.03563354164361954,
-0.026520468294620514,
0.04310911148786545,
0.022195318713784218,
0.05054908245801926,
-0.022889478132128716,
-0.0745420977473259,
-0.012183396145701408,
0.0027143433690071106,
-0.0019912600982934237,
-0.044105853885412216,
-0.017353998497128487,
-0.06656815856695175,
0.01257497351616621,
-0.034298621118068695,
-0.04207677021622658,
0.0021670248825103045,
-0.014372670091688633,
-0.04264633730053902,
0.006790307816118002,
-0.04011888429522514,
0.00971823837608099,
0.012005406431853771,
-0.0007714742096140981,
-0.03568693995475769,
-0.03816099464893341,
0.06347113102674484,
0.07561003416776657,
-0.001772110117599368,
0.030970212072134018,
-0.019276287406682968,
0.02721462771296501,
-0.00424505490809679,
-0.04068845137953758,
0.002070243004709482,
0.0146129559725523,
-0.02308526635169983,
-0.036487892270088196,
-0.010465795174241066,
-0.023904019966721535,
-0.048021625727415085,
-0.012236793525516987,
-0.01447056420147419,
-0.012957652099430561,
-0.02951069548726082,
-0.01680222898721695,
0.006794757675379515,
-0.014096786268055439,
0.021821539849042892,
0.03422742336988449,
0.0048235212452709675,
0.00015852208889555186,
0.04446183145046234,
-0.030649829655885696,
0.048733584582805634,
-0.038694966584444046,
0.024954158812761307,
0.007137387990951538,
0.012966550886631012,
-0.049623534083366394,
0.015422808937728405,
0.02073580212891102,
-0.07326056808233261,
0.004111562389880419,
-0.026057695969939232,
0.04353628680109978,
0.045387379825115204,
0.005984904244542122,
0.047452058643102646,
0.02470497414469719,
-0.024206602945923805,
0.05279175192117691,
-0.015138025395572186,
-0.03474359214305878,
0.041578397154808044,
0.05951976403594017,
0.010456896387040615,
-0.0027944387402385473,
0.013758605346083641,
-0.01929408498108387,
0.0034796991385519505,
0.04855559766292572,
-0.02283608168363571,
0.015689793974161148,
0.04478221386671066,
0.042325954884290695,
-0.00867254938930273,
0.032696712762117386,
-0.05158142000436783,
-0.009460153989493847,
-0.060160525143146515,
-0.010599288158118725,
0.010875171981751919,
-0.038232192397117615,
-0.02983107790350914,
-0.0013182363472878933,
-0.00599825382232666,
-0.06065889820456505,
0.006020502187311649,
0.016321657225489616,
0.04047486186027527,
0.0026876446790993214,
-0.011952009983360767,
-0.0028856582939624786,
-0.02514994703233242,
-0.009922927245497704,
-0.01818164996802807,
0.0358649305999279,
-0.0012281290255486965,
-0.020237430930137634,
0.018368538469076157,
-0.0016742157749831676,
0.018955904990434647,
-0.04577895626425743,
0.01704251579940319,
0.040439262986183167,
-0.008418913930654526,
-0.02367263287305832,
-0.02673405595123768,
-0.007364324759691954,
0.019792456179857254,
0.09995903074741364,
-0.019347483292222023,
-0.02032642625272274,
-0.05717029795050621,
0.006082798819988966,
-0.006300836335867643,
-0.10593948513269424,
0.0010023046052083373,
-0.003677712520584464,
-0.03769822418689728,
-0.029421700164675713,
0.050086308270692825,
-0.03666588291525841,
0.03695066645741463,
-0.010599288158118725,
0.02468717470765114,
-0.03168217092752457,
0.011133257299661636,
-0.023298854008316994,
0.006171793676912785,
-0.03403163328766823,
0.02458037994801998,
-0.018813513219356537,
-0.04588574916124344,
0.023174261674284935,
-0.023583637550473213,
0.026235684752464294,
0.0026898696087300777,
0.01913389563560486,
-0.018777916207909584,
-0.022782685235142708,
-0.058273833245038986,
-0.02283608168363571,
-0.029884474352002144,
0.0009839494014158845,
0.0003303934063296765,
0.0005567740881815553,
0.013260234147310257,
0.05193740129470825,
-0.06550021469593048,
-0.016241561621427536,
-0.024793967604637146,
-0.010376800782978535,
0.04068845137953758,
0.0233878493309021,
-0.04353628680109978,
0.023726029321551323,
-0.008080733008682728,
-0.041756387799978256,
-0.003437426406890154,
-0.03570473939180374,
0.0015674219466745853,
0.0731181800365448,
-0.005433136131614447,
-0.04296671971678734,
0.032554320991039276,
0.03816099464893341,
-0.021287569776177406,
-0.02575511299073696,
0.015307116322219372,
0.003386254422366619,
-0.01234358735382557,
-0.06557141244411469,
0.028745340183377266,
-0.053574904799461365,
-0.014942237176001072,
0.028709741309285164,
0.02719683013856411,
0.021981731057167053,
0.007720304187387228,
-0.025078751146793365,
-0.018653322011232376,
0.008681449107825756,
-0.021020585671067238,
0.007484467700123787,
-0.019507672637701035,
0.01785236969590187,
-0.015600798651576042,
0.032233938574790955,
0.007689156103879213,
-0.05464284494519234,
0.013562817126512527,
-0.01528931688517332,
-0.030507437884807587,
0.013829801231622696,
-0.020219631493091583,
-0.0031926906667649746,
0.043180305510759354,
0.009130872786045074,
-0.010314504615962505,
-0.023601436987519264,
-0.03476139158010483,
-0.013215736486017704,
0.04645531624555588,
0.017238304018974304,
-0.051403433084487915,
-0.012744064442813396,
0.027428215369582176,
0.05072706937789917,
0.0357937328517437,
-0.025950901210308075,
-0.033853646367788315,
0.020967189222574234,
-0.027979984879493713,
0.008628051728010178,
-0.02571951411664486,
0.0570279061794281,
-0.03830338642001152,
0.0030147009529173374,
0.03378244861960411,
0.016036873683333397,
0.021572353318333626,
0.01287755649536848,
0.04285992309451103,
0.015636397525668144,
0.008846089243888855,
0.021127380430698395,
-0.012690667062997818,
0.00690600136294961,
-0.012530476786196232,
-0.04075964540243149,
0.0011057611554861069,
-0.010990865528583527,
-0.005891459994018078,
0.032963696867227554,
-0.01117775496095419,
-0.020646806806325912,
0.01588558219373226,
0.014230278320610523,
-0.042005572468042374,
-0.054037678986787796,
-0.05809584632515907,
-0.006954948417842388,
0.014167982153594494,
-0.062082815915346146,
0.02968868613243103,
-0.07489807158708572,
-0.04065285250544548,
0.03695066645741463,
-0.026075493544340134,
0.050976257771253586,
-0.04339389503002167,
0.021162977442145348,
-0.05346811190247536,
0.02105618454515934,
0.04061725363135338,
0.002863409696146846,
-0.030009066686034203,
-0.004819071851670742,
0.03114820085465908,
0.002092491602525115,
-0.08351277559995651,
-0.015004533343017101,
0.01961446739733219,
-0.013046646490693092,
0.037627026438713074,
-0.009210968390107155,
0.010465795174241066,
-0.0016007950762286782,
-0.007649108301848173,
0.001039571245200932,
-0.10828894376754761,
0.026680659502744675,
0.02529233880341053,
0.044355038553476334,
-0.06909561157226562,
0.027606206014752388,
0.021447760984301567,
0.02004164271056652,
0.003372905310243368,
0.03536655753850937,
0.0010590387973934412,
0.02954629436135292,
-0.007453319616615772,
0.004805722273886204,
0.032091546803712845,
-0.007457769475877285,
-0.00928216427564621,
0.003016925882548094,
0.01543170865625143,
0.0285317525267601,
-0.05350371077656746,
0.07674916833639145,
-0.001944537740200758,
0.048626791685819626,
0.02034422568976879,
0.011782919988036156,
0.01819944940507412,
0.05677872151136398,
-0.045992545783519745,
-0.014604056254029274,
-0.004663330502808094,
-0.051118649542331696,
0.0015807711752131581,
0.01710481196641922,
0.04624173045158386,
0.014025590382516384,
-0.017078114673495293,
-0.013785303570330143,
-0.011168855242431164,
0.033871445804834366,
-0.0051038553938269615,
0.03565134108066559,
0.03994089365005493,
-0.006554471328854561,
-0.022480102255940437,
0.015191422775387764,
0.05524801090359688,
-0.023352252319455147,
0.0105903884395957,
0.04791483283042908,
-0.011400241404771805,
0.05823823809623718,
0.02822916954755783,
-0.0028389361687004566,
0.011435839347541332,
-0.041613996028900146,
-0.038374584168195724,
-0.005063807591795921,
-0.050655875355005264,
0.0026142240967601538,
0.025808509439229965,
-0.03041844256222248,
0.0028322613798081875,
-0.007195234298706055,
0.06795647740364075,
-0.017282802611589432,
-0.03335527330636978,
-0.009807233698666096,
0.014879941008985043,
0.000008317195351992268,
-0.04079524427652359,
-0.014986734837293625,
0.04663330689072609,
-0.0002853397745639086,
0.015743190422654152,
-0.01543170865625143,
0.023779427632689476,
-0.016464048996567726,
-0.02940390259027481,
0.006380931474268436,
-0.03235853090882301,
0.0048235212452709675,
-0.029795479029417038,
0.012984350323677063,
0.0052284481935203075,
0.020433219149708748,
0.002380612539127469,
0.0026231235824525356,
0.015485106036067009,
-0.010376800782978535,
0.045992545783519745,
-0.01947207562625408,
0.028691943734884262,
0.023316653445363045,
0.054002080112695694,
-0.0011580456048250198,
-0.017131511121988297,
0.006656815763562918,
0.02239110693335533,
-0.047309666872024536,
0.022159719839692116,
0.019934847950935364,
-0.028282565996050835,
0.018297342583537102,
-0.04118682071566582,
0.021714746952056885,
-0.0010189911117777228,
0.03787621110677719,
0.01957886852324009,
-0.007026144303381443,
-0.02166134864091873,
-0.014025590382516384,
-0.06671054661273956,
0.016143668442964554,
0.029617490246891975,
0.005771316587924957,
-0.020504415035247803,
0.014007790945470333,
-0.004216131754219532,
0.026520468294620514,
-0.029724283143877983,
-0.003559794509783387,
-0.054927628487348557,
0.01242368295788765,
-0.03962051123380661,
-0.04300231486558914,
-0.028282565996050835,
0.006469926331192255,
0.01455065980553627,
0.042468346655368805,
-0.011667226441204548,
0.03453000634908676,
0.015636397525668144,
-0.01726500317454338,
0.03709305822849274,
0.024651575833559036,
-0.04631292447447777,
0.05976894870400429,
0.011168855242431164,
0.0006613430450670421,
0.00005270164547255263,
-0.016998019069433212,
-0.00160969456192106,
0.04118682071566582,
-0.01961446739733219,
0.0035998420789837837,
0.007591261528432369,
0.026431472972035408,
0.0511542446911335,
0.011765120550990105,
-0.0299556702375412,
0.0004611046169884503,
-0.03520636633038521,
-0.03844577819108963,
-0.0023450145963579416,
-0.017478590831160545,
0.02207072637975216,
-0.020931590348482132,
0.0033484315499663353,
-0.008134130388498306,
0.02166134864091873,
-0.05656513199210167,
0.00818752683699131,
-0.03451220691204071,
0.0021236399188637733,
-0.03219833970069885,
0.03278570622205734,
-0.000022283478756435215,
0.02468717470765114,
-0.02589750476181507,
-0.027712998911738396,
0.04752325639128685,
0.014221378602087498,
0.030934613198041916,
0.019240688532590866,
0.031504180282354355,
0.032839104533195496,
-0.043037913739681244,
-0.013909896835684776,
0.03597172349691391,
0.03730664402246475,
-0.04328710213303566,
0.02749941125512123,
0.04225476086139679,
-0.04517379030585289,
-0.014604056254029274,
0.025772912427783012,
-0.0028233618941158056,
-0.0211807768791914,
0.001551847904920578,
0.06678174436092377,
-0.019347483292222023,
0.0038089801091700792,
-0.020789198577404022,
-0.004641082137823105,
-0.010136514902114868,
0.02602209709584713,
0.0005272945272736251,
-0.04624173045158386,
-0.03242972865700722,
0.03595392405986786,
0.03189575672149658,
-0.02703663893043995,
-0.02207072637975216,
0.013269133865833282,
-0.012263491749763489,
-0.012014306150376797,
-0.03187795728445053,
0.008062934502959251,
0.014506162144243717,
-0.0002594756369944662,
-0.03972730413079262,
-0.014639654196798801,
0.006750260014086962,
-0.027090035378932953,
0.013340329751372337,
0.003951371647417545,
-0.03773381933569908,
0.04442623630166054,
0.0035976171493530273,
-0.018172750249505043,
0.028424957767128944,
0.01594787836074829,
0.021963931620121002,
-0.0255949217826128,
-0.005370839964598417,
-0.010207710787653923,
0.04136481136083603,
0.006954948417842388,
0.007422171533107758,
0.024598179385066032,
-0.021002786234021187,
-0.021536756306886673,
0.029617490246891975,
0.025844108313322067,
-0.009602545760571957,
-0.0018177200108766556,
0.045529771596193314,
-0.039691708981990814,
0.011373543180525303,
0.00006542512710439041,
0.0011246725916862488,
-0.011213352903723717,
-0.017923565581440926,
0.018208349123597145,
-0.005126103758811951,
-0.06649696081876755,
-0.018777916207909584,
0.028567349538207054,
-0.00873484555631876,
-0.004400795791298151,
-0.04417704790830612,
0.006692413706332445,
0.03292809799313545,
-0.0031014708802103996,
-0.011480337008833885,
0.004774574190378189,
-0.024153204634785652,
-0.017523087561130524,
0.014782045967876911,
0.05816704034805298,
0.009833931922912598,
0.010439096949994564,
0.008659199811518192,
-0.034298621118068695,
0.03597172349691391,
-0.020860394462943077,
0.0014661903260275722,
-0.003864601720124483,
0.013055546209216118,
0.03273231163620949,
0.03887295350432396,
0.025915304198861122,
0.024384591728448868,
-0.04478221386671066,
0.0036376649513840675,
0.008863887749612331,
-0.020273029804229736,
-0.03698626533150673,
-0.0098606301471591,
-0.037947408854961395,
-0.0005178388673812151,
-0.032518722116947174,
-0.0014205804327502847,
0.03572253882884979,
0.06517983973026276,
0.03744903579354286,
0.031628772616386414,
-0.0628303736448288,
-0.0329458974301815,
0.01024330873042345,
0.0016742157749831676,
-0.03191355615854263,
0.010074217803776264,
0.005806914530694485,
0.020664606243371964,
-0.05806024745106697,
-0.0496947318315506,
-0.028140174224972725,
-0.005037108901888132,
0.015476206317543983,
-0.027143431827425957,
0.037057459354400635,
-0.02294287458062172,
-0.0017743350472301245,
0.0003251093439757824,
0.0171849075704813,
0.017015816643834114,
-0.0023872870951890945,
-0.005464284680783749,
-0.027890989556908607,
0.023031869903206825,
0.04047486186027527,
-0.01803925819694996,
-0.025416933000087738,
0.03177116438746452,
-0.04901836812496185,
0.026235684752464294,
0.00358204310759902,
0.008000638335943222,
-0.0027232428546994925,
0.0009255465702153742,
-0.04029687121510506,
0.008467861451208591,
-0.004725627135485411,
0.025096550583839417,
-0.016490748152136803,
-0.0031971402931958437,
-0.014790945686399937,
-0.025559324771165848,
-0.009166470728814602,
-0.019792456179857254,
0.033568862825632095,
0.01053699105978012,
-0.038232192397117615,
-0.013642911799252033,
0.03203814849257469,
-0.010821775533258915,
0.019810255616903305,
-0.023334452882409096,
0.0599113404750824,
-0.033390872180461884,
-0.014639654196798801,
0.0006007152842357755,
-0.036630284041166306,
-0.0052417973056435585,
-0.008583554066717625,
-0.03887295350432396,
0.002734367037191987,
0.010172112844884396,
-0.04257513955235481,
0.04812842234969139,
0.017496390268206596,
-0.017015816643834114,
0.03534875810146332,
-0.04499580338597298,
0.04257513955235481,
-0.06008933112025261,
0.04008328542113304,
0.03438761457800865,
0.008525707758963108,
0.004925865679979324,
0.014559559524059296,
-0.02630688063800335,
-0.022551298141479492,
-0.017496390268206596,
-0.04132921248674393,
0.010661584325134754,
-0.011560432612895966,
-0.03113040141761303,
0.0877845287322998,
-0.003788956208154559,
-0.027890989556908607,
0.028300365433096886,
0.0628659725189209,
0.0805225521326065,
-0.023138664662837982,
-0.0585230216383934,
0.0002519667032174766,
-0.027161231264472008,
0.0066167679615318775,
-0.006038301158696413,
-0.010412398725748062,
-0.00026211768272332847,
0.0011914187343791127,
0.016820028424263,
0.00790274329483509,
-0.00007599326636409387,
-0.0350995734333992,
-0.00610059779137373,
-0.06920240074396133,
0.0179146658629179,
-0.02634247951209545,
0.00045470811892300844,
-0.024242199957370758,
-0.03518856689333916,
0.03841018304228783,
0.006171793676912785,
-0.01762988232076168,
-0.0010601512622088194,
-0.006452127359807491,
0.0048235212452709675,
0.0020958289969712496,
-0.005984904244542122,
0.03568693995475769,
0.01973905973136425,
-0.04296671971678734,
0.015716493129730225,
0.00929106306284666,
0.03376464918255806,
-0.036345500499010086,
0.02571951411664486,
-0.01854652911424637,
0.03627430647611618,
0.06446787714958191,
-0.046562112867832184,
0.005290744360536337,
0.028264768421649933,
0.025523725897073746,
-0.018048157915472984,
-0.024882962927222252,
0.027730798348784447,
-0.009166470728814602,
-0.010830674320459366,
-0.038374584168195724,
0.03680827468633652,
-0.03157537803053856,
0.029350504279136658,
0.015449508093297482,
-0.010928569361567497,
-0.02648487128317356,
0.0262890812009573,
0.015182523056864738,
0.03933572769165039,
-0.013438223861157894,
-0.03518856689333916,
-0.07080431282520294,
0.004302901681512594,
0.006661265157163143,
-0.11177754402160645,
0.016286060214042664,
0.03289249911904335,
0.027855390682816505,
0.0043318248353898525,
-0.03317728266119957,
0.012735164724290371,
0.04446183145046234,
-0.028994524851441383,
0.02105618454515934,
-0.011809618212282658,
-0.003684387309476733,
0.018831312656402588,
-0.015307116322219372,
-0.058558616787195206,
0.05567518621683121,
0.024776170030236244,
0.001298212562687695,
0.03826779127120972,
0.006056100130081177,
0.0025986498221755028,
0.012815260328352451,
-0.03972730413079262,
0.012014306150376797,
-0.019400879740715027,
-0.024384591728448868,
0.029190314933657646,
0.05086946114897728,
0.024526983499526978,
-0.03848137706518173,
0.03056083433330059,
0.0015295991906896234,
-0.04004768654704094,
0.039549317210912704,
-0.06055210158228874,
-0.005695671308785677,
0.026075493544340134,
-0.04777244105935097,
-0.019205091521143913,
-0.00009789434989215806,
-0.03522416576743126,
-0.006380931474268436,
-0.02764180302619934,
0.014497262425720692,
0.04196997731924057,
-0.05439366027712822,
-0.0482352152466774,
-0.00014114029181655496,
-0.004507589619606733,
0.037627026438713074,
-0.020290827378630638,
-0.041436005383729935,
0.006968297529965639,
0.04154280200600624,
0.03100580908358097,
-0.008441162295639515,
-0.016650939360260963,
0.02614668942987919,
0.01840413734316826,
0.021234173327684402,
0.032536521553993225,
-0.014746448025107384,
0.0061851427890360355,
-0.0033150585368275642,
0.03540215641260147,
0.014221378602087498,
0.022551298141479492,
-0.02399301528930664,
-0.03695066645741463,
0.0021470009814947844,
0.018973704427480698,
0.0049481140449643135,
-0.061904825270175934,
-0.042610738426446915,
0.018386337906122208,
0.028282565996050835,
0.041720788925886154,
-0.004518714267760515,
-0.04132921248674393,
0.014577358029782772,
0.05307653546333313,
-0.022747086361050606,
0.022106323391199112,
-0.002078030025586486,
-0.006781408563256264,
0.03490378335118294,
-0.050976257771253586,
0.03335527330636978,
-0.005976004991680384,
-0.015583000145852566,
-0.0017843469977378845,
0.009299962781369686,
-0.029635287821292877,
0.018688920885324478,
-0.004623283166438341,
0.0010701632127165794,
0.010946367867290974,
-0.016642039641737938,
-0.0263246800750494,
-0.02575511299073696,
0.006109497044235468,
-0.0054108877666294575,
0.0028723091818392277,
-0.03257212042808533,
-0.00812523066997528,
-0.030507437884807587,
-0.006412079557776451,
-0.004592134617269039
] |
Being able to identify functions of interest in cross-architecture software
is useful whether you are analysing for malware, securing the software supply
chain or conducting vulnerability research. Cross-Architecture Binary Code
Similarity Search has been explored in numerous studies and has used a wide
range of different data sources to achieve its goals. The data sources
typically used draw on common structures derived from binaries such as function
control flow graphs or binary level call graphs, the output of the disassembly
process or the outputs of a dynamic analysis approach. One data source which
has received less attention is binary intermediate representations. Binary
Intermediate representations possess two interesting properties: they are cross
architecture by their very nature and encode the semantics of a function
explicitly to support downstream usage. Within this paper we propose Function
as a String Encoded Representation (FASER) which combines long document
transformers with the use of intermediate representations to create a model
capable of cross architecture function search without the need for manual
feature engineering, pre-training or a dynamic analysis step. We compare our
approach against a series of baseline approaches for two tasks; A general
function search task and a targeted vulnerability search task. Our approach
demonstrates strong performance across both tasks, performing better than all
baseline approaches. | [
0.0027054441161453724,
0.04602258652448654,
-0.020146433264017105,
-0.045357197523117065,
0.05896066129207611,
0.03267788514494896,
0.007157528307288885,
0.01719840057194233,
-0.06520790606737137,
0.012873386032879353,
0.009611141867935658,
0.018362825736403465,
0.026670919731259346,
-0.018630828708410263,
-0.0637662336230278,
0.06210276484489441,
0.027742931619286537,
-0.014555335976183414,
-0.02009098418056965,
-0.06605812162160873,
0.01774364709854126,
0.024194201454520226,
-0.03160587325692177,
0.007767466362565756,
0.0014335850719362497,
0.006344277877360582,
-0.03504370152950287,
-0.011588819324970245,
-0.059071559458971024,
0.03750193864107132,
0.023916957899928093,
0.02443448081612587,
-0.06990257650613785,
-0.03297360986471176,
-0.021514171734452248,
-0.039109956473112106,
-0.028241971507668495,
0.0562991127371788,
-0.027262374758720398,
-0.0013249976327642798,
0.01690267212688923,
0.006603039335459471,
-0.009592658840119839,
0.05312004312872887,
-0.0025645114947110415,
0.04709459841251373,
-0.008340437896549702,
-0.010221079923212528,
0.005161368288099766,
-0.0038744916673749685,
0.02487807162106037,
0.01736474595963955,
-0.005720478016883135,
-0.0003347149468027055,
0.0516783706843853,
0.029313983395695686,
0.06857180595397949,
0.01835358515381813,
0.043989457190036774,
-0.038814228028059006,
-0.04554202780127525,
-0.002594546414911747,
0.048647165298461914,
-0.022290457040071487,
0.017087502405047417,
0.013695877976715565,
0.011403989978134632,
-0.01818723790347576,
-0.0012140998151153326,
0.0064182099886238575,
-0.054820477962493896,
-0.0034378315322101116,
-0.012670072726905346,
0.034489214420318604,
-0.04543112963438034,
0.008663889952003956,
0.051419612020254135,
0.05848010256886482,
-0.020109467208385468,
0.0027562722098082304,
0.01803937554359436,
0.02583918534219265,
-0.010174872353672981,
0.0182242039591074,
0.004805570933967829,
-0.025099867954850197,
-0.07659341394901276,
-0.06302691251039505,
0.0028602390084415674,
-0.008982721716165543,
-0.05271342024207115,
-0.00876554660499096,
0.05652090907096863,
0.038370635360479355,
-0.012457518838346004,
0.0697547122836113,
-0.05589248985052109,
-0.048351436853408813,
-0.031994014978408813,
0.039627477526664734,
-0.019795255735516548,
0.01873248629271984,
-0.021809900179505348,
-0.009509486146271229,
0.028223488479852676,
-0.01753109320998192,
-0.026874233037233353,
0.01338166743516922,
-0.012725521810352802,
0.15422186255455017,
-0.06835000962018967,
0.0021925417240709066,
-0.007291529793292284,
-0.02816803939640522,
0.010794051922857761,
-0.012605383060872555,
0.0010275373933836818,
-0.06350746750831604,
-0.00595613569021225,
-0.004355048760771751,
0.07651948183774948,
0.044876642525196075,
0.04775998368859291,
-0.004581464920192957,
-0.04990400746464729,
0.0890139639377594,
0.008557613007724285,
0.002094350988045335,
0.0053693014197051525,
0.04313924163579941,
-0.043471936136484146,
-0.0009102860931307077,
0.07274895161390305,
-0.005623442120850086,
0.04698370024561882,
0.005701994989067316,
0.009204517118632793,
0.03735407441854477,
-0.0009131740080192685,
-0.005253782961517572,
-0.030552342534065247,
-0.022216524928808212,
-0.015229963697493076,
0.03142104297876358,
0.06772159039974213,
-0.016643911600112915,
0.015239205211400986,
0.07629768550395966,
0.015239205211400986,
-0.011570336297154427,
-0.022438321262598038,
0.05334183946251869,
0.024952003732323647,
0.013584979809820652,
0.020978165790438652,
0.0028094109147787094,
0.03624509647488594,
0.007841398008167744,
0.013243044726550579,
0.0101194242015481,
0.07208357006311417,
-0.03840760141611099,
-0.008571475744247437,
0.007559533230960369,
0.03343568369746208,
-0.013640428893268108,
0.020774854347109795,
-0.006875663064420223,
-0.05726022645831108,
0.046614039689302444,
0.04169756919145584,
-0.0055171651765704155,
0.015479483641684055,
0.04557899385690689,
-0.05567069351673126,
-0.02347336709499359,
0.027188442647457123,
-0.001190996146760881,
-0.0013273080112412572,
-0.03386079519987106,
-0.057038433849811554,
0.004595327191054821,
0.0022884223144501448,
0.002072402508929372,
0.012928834185004234,
0.051123883575201035,
0.0401819683611393,
-0.02051609195768833,
0.0027770656161010265,
-0.04291744530200958,
0.001411636476404965,
0.021199962124228477,
0.04258475452661514,
0.03777918219566345,
0.030570825561881065,
-0.000278688472462818,
-0.06457947939634323,
-0.0010593049228191376,
0.01767895743250847,
0.028352869674563408,
0.01911138743162155,
-0.03386079519987106,
0.009657349437475204,
0.03500673547387123,
-0.017882268875837326,
0.024656277149915695,
0.020294295623898506,
-0.019832221791148186,
-0.02022036537528038,
-0.047242458909749985,
-0.03548729419708252,
-0.016745567321777344,
-0.024674760177731514,
-0.01589534990489483,
-0.001794002833776176,
-0.03933175280690193,
-0.008682372979819775,
0.013492564670741558,
-0.06358139961957932,
0.013695877976715565,
-0.003576453775167465,
-0.003211415372788906,
0.02881494350731373,
-0.04003410413861275,
0.03783462941646576,
-0.008432853035628796,
0.06742586195468903,
-0.018030133098363876,
-0.006695454474538565,
0.051271747797727585,
-0.0327148512005806,
0.017752889543771744,
-0.03033054620027542,
-0.01780833676457405,
0.012041652575135231,
-0.07504083961248398,
0.052676454186439514,
-0.058443136513233185,
-0.03349113464355469,
0.0373355895280838,
-0.021070580929517746,
0.010276529006659985,
-0.01516527310013771,
-0.02753961831331253,
0.05337880551815033,
-0.017309296876192093,
-0.06908932328224182,
0.07836777716875076,
-0.027650516480207443,
0.002991930115967989,
0.017207641154527664,
0.011930754408240318,
0.037890080362558365,
0.05186320096254349,
-0.0013273080112412572,
0.022456804290413857,
0.0033546583727002144,
0.01648680493235588,
-0.038814228028059006,
-0.032289739698171616,
-0.01885262504220009,
0.007245322689414024,
-0.00742553174495697,
0.03855546563863754,
-0.04901682585477829,
0.015507208183407784,
0.022752530872821808,
-0.03672565147280693,
-0.03253002092242241,
-0.02458234503865242,
0.021662035956978798,
-0.011598060838878155,
-0.07208357006311417,
0.012799453921616077,
-0.004861020017415285,
-0.03349113464355469,
-0.0022075593005865812,
0.01911138743162155,
0.008183333091437817,
0.004355048760771751,
-0.026818783953785896,
0.011311574839055538,
0.03563515841960907,
-0.005757444072514772,
-0.03236367180943489,
-0.01962891034781933,
-0.03386079519987106,
0.005323094315826893,
0.008973480202257633,
-0.02116299606859684,
-0.013520289212465286,
-0.006732420530170202,
-0.0301642008125782,
0.02755810134112835,
0.02304825745522976,
-0.019813738763332367,
0.027336306869983673,
-0.01277172937989235,
0.012152549810707569,
0.00162419059779495,
-0.022992810234427452,
0.02005401812493801,
0.05552282929420471,
0.012263447977602482,
-0.01604321412742138,
0.007157528307288885,
-0.02099664881825447,
0.10690547525882721,
-0.021735968068242073,
-0.011006605811417103,
0.023528816178441048,
-0.020922716706991196,
-0.07012437283992767,
0.007790570147335529,
-0.028389835730195045,
0.04276958107948303,
-0.01020259689539671,
-0.027465688064694405,
0.007129804231226444,
-0.03036751225590706,
0.02491503767669201,
-0.002941102022305131,
-0.09611142426729202,
0.0654297024011612,
0.027909278869628906,
-0.040995217859745026,
0.0186677947640419,
-0.0074624973349273205,
0.010017767548561096,
-0.017706681042909622,
0.005045849829912186,
0.0030265855602920055,
-0.028426801785826683,
-0.021865349262952805,
-0.025746772065758705,
-0.005041229072958231,
-0.059219423681497574,
0.08849643915891647,
0.017087502405047417,
-0.007933813147246838,
-0.005942273419350386,
0.020959682762622833,
-0.04750122129917145,
-0.020645473152399063,
0.004572223871946335,
-0.03404562175273895,
-0.01862158812582493,
0.0029110671021044254,
-0.05334183946251869,
-0.04868413135409355,
0.0010800983291119337,
-0.07829384505748749,
0.003821353195235133,
-0.05326790735125542,
0.018464483320713043,
-0.047981780022382736,
-0.01205089408904314,
-0.037095312029123306,
0.06165917217731476,
0.06280511617660522,
-0.017087502405047417,
-0.009869903326034546,
0.022623149678111076,
0.024674760177731514,
-0.009518727660179138,
-0.01767895743250847,
0.026689402759075165,
-0.035117633640766144,
0.003352347994223237,
0.021532654762268066,
-0.02491503767669201,
0.06454251706600189,
0.02580222114920616,
-0.0050643328577280045,
-0.035394880920648575,
0.01082177646458149,
0.060439299792051315,
-0.0016958120977506042,
-0.04343497008085251,
0.05430295318365097,
-0.03922085464000702,
0.01401008851826191,
0.0035833849105983973,
-0.01042439229786396,
0.029055222868919373,
-0.01189378835260868,
0.020460642874240875,
-0.01168123446404934,
-0.024212684482336044,
0.03718772903084755,
0.0042811171151697636,
-0.005674270447343588,
-0.01658846251666546,
-0.0491277240216732,
0.006067033391445875,
-0.01889883168041706,
-0.011847580783069134,
-0.03402714058756828,
0.039294786751270294,
0.0007629999308846891,
0.02380605973303318,
0.0013273080112412572,
-0.032622434198856354,
0.08701780438423157,
-0.026356710121035576,
-0.030903518199920654,
-0.012734763324260712,
-0.04369373247027397,
-0.01805785670876503,
0.010609222576022148,
-0.013437116518616676,
-0.07430152595043182,
0.040847353637218475,
-0.0038375258445739746,
0.016292734071612358,
0.014111744239926338,
-0.01891731470823288,
0.01698584482073784,
0.007157528307288885,
-0.00552178593352437,
-0.0373355895280838,
0.006043929606676102,
0.039775341749191284,
0.05829527601599693,
0.020959682762622833,
0.007282288745045662,
0.051271747797727585,
0.008063193410634995,
0.0022653185296803713,
-0.03583846986293793,
0.026264294981956482,
-0.0020804889500141144,
0.032308224588632584,
-0.02070092223584652,
0.03280726447701454,
-0.005752823315560818,
0.02596856653690338,
-0.02271556481719017,
-0.056262146681547165,
-0.0551162026822567,
-0.03766828402876854,
0.007846019230782986,
-0.0129935247823596,
-0.03999713808298111,
-0.0404776968061924,
-0.022992810234427452,
-0.0013226872542873025,
0.0054617165587842464,
0.021532654762268066,
-0.014675474725663662,
-0.019980086013674736,
0.05648394301533699,
-0.10838411003351212,
0.03458162769675255,
0.06687136739492416,
-0.025709806010127068,
0.011403989978134632,
-0.01555341575294733,
0.025709806010127068,
-0.03807491064071655,
0.030219649896025658,
0.0585540346801281,
-0.02410178817808628,
-0.025303179398179054,
0.011246884241700172,
0.04949738085269928,
0.01912987045943737,
-0.06498610973358154,
-0.00850678514689207,
0.016560737043619156,
0.029129154980182648,
-0.021994728595018387,
0.012494484893977642,
0.028038660064339638,
-0.004214116372168064,
0.03234519064426422,
0.01020259689539671,
0.00016288112965412438,
0.019407114014029503,
-0.03596785292029381,
-0.008719339035451412,
-0.0012083238689228892,
-0.022013211622834206,
-0.03313995897769928,
0.003659627167508006,
0.009033549576997757,
0.015821419656276703,
-0.010784810408949852,
0.01277172937989235,
0.0482405424118042,
0.024545378983020782,
-0.02663395367562771,
-0.02101513184607029,
-0.029184602200984955,
-0.016080180183053017,
-0.025561941787600517,
-0.05929335579276085,
-0.012854903005063534,
0.06565149128437042,
0.022641632705926895,
0.004209495615214109,
0.011588819324970245,
0.05275038629770279,
0.021236928179860115,
0.025118350982666016,
0.0071667698211967945,
-0.05008883774280548,
0.0525655560195446,
0.01018411386758089,
-0.013501806184649467,
0.0013792912941426039,
-0.07821991294622421,
0.012032411061227322,
0.0017258469015359879,
-0.03922085464000702,
-0.01713370904326439,
0.017226124182343483,
-0.026079464703798294,
0.05289824679493904,
0.004338876344263554,
0.017318539321422577,
-0.020164916291832924,
0.001435895450413227,
0.0070096650160849094,
0.03434135019779205,
0.0075225671753287315,
0.04605955258011818,
-0.03184615075588226,
-0.03049689345061779,
-0.01315987203270197,
-0.008446715772151947,
0.017142951488494873,
-0.006030067801475525,
0.0012117894366383553,
0.0119122713804245,
-0.011450197547674179,
-0.0014070157194510102,
0.05596642196178436,
-0.047686051577329636,
-0.009199895896017551,
-0.007753604091703892,
0.017919234931468964,
0.0009010445792227983,
-0.00282327295280993,
-0.04313924163579941,
0.04291744530200958,
0.03097745031118393,
0.01927773281931877,
-0.00922762043774128,
0.01655149646103382,
0.005780547391623259,
0.02768748253583908,
0.01229117251932621,
-0.0027562722098082304,
-0.02116299606859684,
-0.027742931619286537,
0.004167908802628517,
-0.03807491064071655,
0.0022884223144501448,
-0.026800300925970078,
-0.005919169634580612,
0.027613550424575806,
0.024804139509797096,
-0.02321460470557213,
0.04251082241535187,
-0.006695454474538565,
0.00383290508762002,
0.038518499583005905,
-0.007277667988091707,
0.011773649603128433,
-0.0031305523589253426,
0.00346555607393384,
-0.027003612369298935,
0.039923205971717834,
-0.04402642324566841,
0.0382227748632431,
0.017475644126534462,
-0.030090268701314926,
0.01665315218269825,
0.00913520622998476,
-0.04949738085269928,
-0.05507923662662506,
-0.007060492876917124,
0.028556182980537415,
0.004669259302318096,
0.0067277997732162476,
-0.034766457974910736,
-0.02659698761999607,
0.037113796919584274,
-0.030256615951657295,
-0.03748345375061035,
0.01587686687707901,
-0.024249650537967682,
0.006353519391268492,
-0.011348540894687176,
0.06339657306671143,
-0.013963880948722363,
-0.022198041900992393,
0.019795255735516548,
-0.005378542933613062,
0.017706681042909622,
0.005438612774014473,
0.04609651491045952,
0.00540626747533679,
-0.006099378690123558,
-0.0012579968897625804,
0.02460082806646824,
-0.02269708178937435,
-0.011348540894687176,
0.024619311094284058,
0.01883414201438427,
0.01290111057460308,
-0.007342358119785786,
-0.03559819236397743,
-0.0011159090790897608,
0.007735121063888073,
0.01167199295014143,
-0.00692187063395977,
-0.016911914572119713,
0.020885750651359558,
0.01790999434888363,
-0.006986561231315136,
0.036466892808675766,
0.023843025788664818,
0.002256077015772462,
0.012097100727260113,
-0.0025968567933887243,
-0.029480330646038055,
-0.03177221864461899,
-0.016597703099250793,
-0.017401712015271187,
-0.005729719530791044,
-0.028667079284787178,
-0.017438678070902824,
-0.018307378515601158,
0.014065536670386791,
0.02269708178937435,
0.0413648784160614,
-0.037723734974861145,
-0.03848153352737427,
0.0018563829362392426,
0.0373355895280838,
-0.0026615471579134464,
0.038037944585084915,
-0.002222576644271612,
-0.01034121960401535,
-0.020035535097122192,
-0.026190362870693207,
0.03018268384039402,
0.044137321412563324,
0.0019072110299021006,
0.018787935376167297,
0.005567993503063917,
0.03870332986116409,
0.019684359431266785,
-0.03833366930484772,
0.007365461904555559,
0.021883832290768623,
-0.03284423053264618,
0.021717485040426254,
0.05186320096254349,
-0.007467118091881275,
-0.024379031732678413,
0.046170447021722794,
0.0017766751116141677,
-0.0066215223632752895,
-0.007370082661509514,
-0.0010645033325999975,
-0.000988838728517294,
0.04827750846743584,
-0.007171390578150749,
-0.06243545934557915,
-0.04203026369214058,
0.008857961744070053,
-0.015303895808756351,
-0.030533859506249428,
0.016181835904717445,
0.051567476242780685,
0.007735121063888073,
-0.06236152723431587,
-0.012882627546787262,
0.019573461264371872,
-0.008839478716254234,
-0.0206824392080307,
-0.0338977575302124,
-0.017253847792744637,
-0.024711724370718002,
-0.0241202712059021,
-0.05363756790757179,
-0.02460082806646824,
-0.05326790735125542,
-0.013695877976715565,
0.020349744707345963,
0.021236928179860115,
0.04561595991253853,
0.01686570607125759,
-0.009121343493461609,
-0.03047841042280197,
-0.0036319028586149216,
0.00015262886881828308,
0.016708601266145706,
0.0034909702371805906,
0.0005475578363984823,
-0.04557899385690689,
0.022345906123518944,
-0.015035892836749554,
0.011829097755253315,
-0.06040233373641968,
0.043656766414642334,
-0.0008629234507679939,
-0.025728289037942886,
-0.031809184700250626,
-0.00498115923255682,
-0.011986203491687775,
0.034470729529857635,
0.025913117453455925,
0.048018746078014374,
0.04217812791466713,
-0.04328710585832596,
0.028593149036169052,
0.028426801785826683,
-0.019351664930582047,
-0.02552497573196888,
-0.04805571213364601,
-0.011736683547496796,
-0.014961960725486279,
-0.026800300925970078,
0.009098240174353123,
-0.03903602436184883,
-0.01106205489486456,
0.04657707363367081,
-0.05430295318365097,
-0.03319540619850159,
-0.0034632456954568624,
-0.06006963923573494,
0.01812254823744297,
0.012827178463339806,
0.005360059905797243,
-0.04214116185903549,
-0.012457518838346004,
0.013742085546255112,
-0.016412872821092606,
0.030755655840039253,
-0.05910852551460266,
0.004611500073224306,
-0.01782681979238987,
-0.000633619143627584,
-0.016533013433218002,
-0.015461000613868237,
0.024009373039007187,
0.06354443728923798,
-0.016449838876724243,
-0.009153689257800579,
-0.03925782069563866,
-0.02846376784145832,
-0.014786372892558575,
0.03796401247382164,
-0.040551625192165375,
0.003634213237091899,
-0.028389835730195045,
-0.029332466423511505,
0.007319254335016012,
0.014185676351189613,
0.06506004184484482,
0.07042010128498077,
-0.05496834218502045,
-0.029665160924196243,
0.018575381487607956,
0.04934952035546303,
0.00072025804547593,
0.00849292241036892,
0.004216426517814398,
0.039923205971717834,
-0.015128307975828648,
-0.005147506017237902,
0.03345416858792305,
-0.0006538348970934749,
-0.0015283102402463555,
0.02487807162106037,
0.05696450173854828,
-0.028519216924905777,
-0.028722528368234634,
-0.03487735614180565,
0.04206722974777222,
-0.009065894410014153,
-0.044728778302669525,
0.007102079689502716,
-0.03609723225235939,
0.045209333300590515,
0.06753675639629364,
-0.03951657935976982,
-0.011330057866871357,
0.01166275143623352,
-0.016292734071612358,
0.07374703139066696,
-0.016893431544303894,
-0.03005330264568329,
-0.016690118238329887,
-0.059995707124471664,
-0.009749764576554298,
0.06080895662307739,
0.007499463390558958,
-0.034637078642845154,
-0.0058128926903009415,
0.04203026369214058,
-0.022900395095348358,
-0.013945397920906544,
-0.006958836689591408,
-0.009842179715633392,
-0.01883414201438427,
-0.018325859680771828,
0.0012013927334919572,
0.00657531525939703,
0.06095682084560394,
0.017087502405047417,
0.0026985129807144403,
0.007578015793114901,
0.004195633344352245,
0.0010136751225218177,
-0.014268849976360798,
-0.0013319287681952119,
0.010415150783956051,
0.01562734693288803,
-0.011126745492219925,
0.00012974176206625998,
-0.005604959558695555,
0.05988480895757675,
0.048129644244909286,
0.04369373247027397,
0.010368944145739079,
0.02755810134112835,
-0.015839900821447372,
0.022179558873176575,
0.016847223043441772,
-0.03825974091887474,
0.01736474595963955,
0.018741726875305176,
0.010054733604192734,
-0.011976961977779865,
0.07359916716814041,
-0.003652696032077074,
-0.00006804763688705862,
-0.0016807947540655732,
-0.03903602436184883,
-0.025561941787600517,
-0.02487807162106037,
-0.029166119173169136,
0.01850144937634468,
0.0162372849881649,
-0.028131073340773582,
0.03530246391892433,
0.02040519379079342,
0.01632045954465866,
0.00816947128623724,
0.01665315218269825,
0.03142104297876358,
-0.03169828653335571,
-0.04295441135764122,
-0.0315873883664608,
-0.007628844119608402,
0.019370147958397865,
0.03537639603018761,
0.01790999434888363,
-0.02615339681506157,
0.013769809156656265,
0.014888028614223003,
-0.01251296792179346,
-0.05045849829912186,
-0.008691614493727684,
-0.037039864808321,
-0.022068660706281662,
-0.03984927386045456,
0.008395886979997158,
0.009823696687817574,
0.020423676818609238,
0.0010489083360880613,
0.010331978090107441,
-0.014647750183939934,
-0.01446292083710432,
0.02051609195768833,
0.02132934331893921,
0.00827574823051691,
0.02785382978618145,
-0.0007422065827995539,
0.03132862597703934,
0.014564577490091324,
-0.00852526817470789,
-0.053009144961833954,
0.0030543101020157337,
-0.03639296069741249,
0.011459439061582088,
0.014758648350834846,
-0.03506218641996384,
0.021976245567202568,
0.06783248484134674,
-0.018640071153640747,
-0.010618464089930058,
-0.0007670430932193995,
-0.02831590361893177,
-0.03081110492348671,
-0.0029295501299202442,
-0.01509134192019701,
-0.02938791550695896,
-0.03456314653158188,
0.029591228812932968,
0.046318311244249344,
0.018824901431798935,
-0.005572614260017872,
0.008224919438362122,
-0.02567283995449543,
0.03003481961786747,
-0.05925638973712921,
0.003382382681593299,
0.0027909278869628906,
-0.007199115119874477,
0.03844456747174263,
-0.006413589231669903,
0.015747487545013428,
-0.03406410664319992,
0.020442159846425056,
0.07304468005895615,
0.03563515841960907,
-0.033842310309410095,
0.011071296408772469,
0.002446682658046484,
0.027040578424930573,
-0.022216524928808212,
0.023399434983730316,
0.023935440927743912,
-0.015451759099960327,
-0.03576453775167465,
0.01128385029733181,
0.010646188631653786,
0.01276248786598444,
0.018889591097831726,
-0.011311574839055538,
-0.06823910772800446,
-0.013825258240103722,
-0.026190362870693207,
-0.07001347094774246,
-0.0382227748632431,
0.01517451461404562,
0.032733332365751266,
-0.03918388858437538,
0.011135987006127834,
-0.061067719012498856,
0.03855546563863754,
0.013742085546255112,
-0.022142592817544937,
0.04310227558016777,
-0.06620598584413528,
-0.020571541041135788,
0.026726368814706802,
-0.02334398590028286,
-0.024064822122454643,
0.02724389173090458,
-0.03345416858792305,
-0.04727942496538162,
-0.03543184697628021,
0.023824542760849,
0.047390323132276535,
0.04010803624987602,
-0.0016357424901798368,
-0.004884123802185059,
-0.0006272656610235572,
-0.028426801785826683,
-0.016154112294316292,
-0.023861508816480637,
-0.038370635360479355,
0.03500673547387123,
-0.016033973544836044,
-0.003403176087886095,
0.07071582973003387,
0.015534932725131512,
0.040847353637218475,
-0.04424821957945824,
0.03302906081080437,
0.015368586406111717,
0.019351664930582047,
0.010646188631653786,
-0.01596004143357277,
-0.006090137176215649,
-0.026097947731614113,
0.005133643746376038,
-0.04838840290904045,
-0.0094817616045475,
0.026985129341483116,
0.00571585725992918,
-0.06117861717939377,
-0.0147124407812953,
0.012078617699444294,
0.01034121960401535,
0.01736474595963955,
-0.02286342903971672,
-0.010747844353318214,
0.006094757933169603,
-0.0012984283966943622,
-0.0033015196677297354,
-0.006408968474715948,
-0.013113664463162422,
-0.03203098103404045,
0.004396635573357344,
-0.033213891088962555,
-0.017235364764928818,
-0.007947674952447414,
0.034470729529857635,
0.030995933338999748,
0.02380605973303318,
-0.0074624973349273205,
0.007818294689059258,
-0.016579220071434975,
-0.021809900179505348,
0.01610790379345417,
-0.017484886571764946,
-0.004731639288365841,
-0.023454884067177773,
-0.03208642825484276,
-0.020497608929872513,
-0.006603039335459471,
-0.01789151132106781,
-0.03667020425200462,
-0.04029286652803421,
0.0045629823580384254,
-0.0032853472512215376
] |
Due to the abundant neurophysiological information in the
electroencephalogram (EEG) signal, EEG signals integrated with deep learning
methods have gained substantial traction across numerous real-world tasks.
However, the development of supervised learning methods based on EEG signals
has been hindered by the high cost and significant label discrepancies to
manually label large-scale EEG datasets. Self-supervised frameworks are adopted
in vision and language fields to solve this issue, but the lack of EEG-specific
theoretical foundations hampers their applicability across various tasks. To
solve these challenges, this paper proposes a knowledge-driven cross-view
contrastive learning framework (KDC2), which integrates neurological theory to
extract effective representations from EEG with limited labels. The KDC2 method
creates scalp and neural views of EEG signals, simulating the internal and
external representation of brain activity. Sequentially, inter-view and
cross-view contrastive learning pipelines in combination with various
augmentation methods are applied to capture neural features from different
views. By modeling prior neural knowledge based on homologous neural
information consistency theory, the proposed method extracts invariant and
complementary neural knowledge to generate combined representations.
Experimental results on different downstream tasks demonstrate that our method
outperforms state-of-the-art methods, highlighting the superior generalization
of neural knowledge-supported EEG representations across various brain tasks. | [
0.047309499233961105,
0.010541791096329689,
-0.02352619171142578,
-0.031303975731134415,
0.01635102555155754,
0.022095980122685432,
0.05315890908241272,
0.0064078341238200665,
-0.016760805621743202,
0.012614795938134193,
0.012791563756763935,
-0.08979806303977966,
0.023060167208313942,
-0.038921061903238297,
0.0159091055393219,
-0.0009074417175725102,
0.024570729583501816,
0.011666676960885525,
-0.036639150232076645,
-0.007649226114153862,
0.015571638941764832,
-0.036799848079681396,
-0.004881202708929777,
-0.06665754318237305,
-0.004455353133380413,
0.038728225976228714,
0.057883430272340775,
0.005961896851658821,
-0.033521611243486404,
0.01868918165564537,
0.023188725113868713,
-0.017114341259002686,
-0.009352625347673893,
-0.016455478966236115,
-0.06434348970651627,
-0.026499105617403984,
0.019299833104014397,
0.0087500074878335,
-0.015804652124643326,
0.014969022013247013,
0.029938044026494026,
0.0213728379458189,
-0.008974985219538212,
-0.044191960245370865,
-0.0069341198541224,
-0.05746561661362648,
-0.053641002625226974,
-0.0403030663728714,
0.010099871084094048,
-0.05425165593624115,
0.010758733376860619,
-0.07334258407354355,
0.04579893872141838,
0.017210759222507477,
-0.033425189554691315,
0.04345274716615677,
0.04139581322669983,
-0.02555098757147789,
0.11460983753204346,
0.05630858987569809,
0.0034489815589040518,
0.01242999266833067,
-0.05415523797273636,
-0.002814224222674966,
0.038503248244524,
-0.031368255615234375,
0.02452252060174942,
-0.02040865086019039,
0.028925646096467972,
-0.00027243338990956545,
-0.0265151746571064,
0.01872132159769535,
-0.011072094552218914,
0.021694233641028404,
0.0014111296040937304,
0.019299833104014397,
0.01693757250905037,
0.08491283655166626,
0.02246558479964733,
0.00008373874152312055,
0.010413232259452343,
0.02913455292582512,
0.037635479122400284,
0.028218574821949005,
0.048787921667099,
-0.013177238404750824,
0.004021468106657267,
-0.05216258019208908,
0.002273877151310444,
0.019267693161964417,
0.0021633971482515335,
0.02461893856525421,
0.00006496971036540344,
0.006857788655906916,
-0.02502068318426609,
-0.04663456976413727,
0.007930448278784752,
-0.02876494824886322,
-0.04930215701460838,
-0.02694905921816826,
-0.014020903035998344,
0.027977528050541878,
-0.03265383839607239,
-0.0017405605176463723,
0.027399014681577682,
0.02220846712589264,
-0.012687109410762787,
0.012638900429010391,
-0.00820363499224186,
0.12862271070480347,
-0.0445454940199852,
-0.0038848749827593565,
-0.04036734625697136,
0.004013433121144772,
-0.025759894400835037,
0.001704403548501432,
-0.020971093326807022,
-0.015234173275530338,
0.06193302199244499,
-0.06710749864578247,
0.03625347465276718,
0.0625758171081543,
0.013731647282838821,
0.041363675147295,
-0.06993578374385834,
0.08169887959957123,
-0.030002322047948837,
-0.004310724791139364,
0.005728885065764189,
0.09783296287059784,
0.0025591161102056503,
0.01905878633260727,
0.009441009722650051,
0.0033847023732960224,
0.039885252714157104,
0.04457763582468033,
-0.01928376406431198,
0.04644173011183739,
0.01737145707011223,
-0.03273418918251991,
0.014695835299789906,
0.0051302844658494,
-0.01603766344487667,
0.021453186869621277,
0.06424707174301147,
0.003688019933179021,
0.02960057742893696,
0.07205700129270554,
0.021983491256833076,
-0.002398418029770255,
-0.010204325430095196,
0.09204783290624619,
-0.016302814707159996,
0.013707541860640049,
0.043163493275642395,
0.021421046927571297,
0.009312450885772705,
-0.05119839310646057,
0.0056887101382017136,
-0.01179523579776287,
0.09699733555316925,
-0.004051599185913801,
0.036542732268571854,
0.015370766632258892,
0.03609277680516243,
0.036574870347976685,
-0.009866858832538128,
-0.0010827030055224895,
-0.08491283655166626,
0.04110655561089516,
-0.032300304621458054,
0.0074764760211110115,
0.036574870347976685,
0.05190546438097954,
-0.015547534450888634,
0.04599177837371826,
0.07077141106128693,
-0.07141420245170593,
-0.06254367530345917,
0.03795687481760979,
-0.041138697415590286,
-0.0416850708425045,
0.06154734641313553,
-0.010389127768576145,
0.04020664840936661,
-0.017017921432852745,
0.07295690476894379,
-0.015346662141382694,
0.029938044026494026,
-0.03548212721943855,
-0.008372367359697819,
0.005917705129832029,
0.05624430999159813,
-0.04158864915370941,
0.02567954547703266,
-0.05534440279006958,
-0.012438028119504452,
0.0448668897151947,
0.031159348785877228,
0.011031920090317726,
-0.04280995577573776,
-0.02134069800376892,
0.03702482581138611,
-0.019894415512681007,
-0.008444681763648987,
-0.006616741418838501,
0.04043162614107132,
0.010823012329638004,
-0.021967420354485512,
-0.04856294393539429,
-0.02910241298377514,
-0.022610213607549667,
-0.05646928772330284,
-0.051712628453969955,
0.0031898559536784887,
-0.01584482565522194,
0.018737390637397766,
-0.03589994087815285,
0.012791563756763935,
0.015595744363963604,
0.03618919849395752,
0.03602850064635277,
0.06922870874404907,
-0.01643940806388855,
-0.01796603947877884,
0.0016120021464303136,
-0.0005860456149093807,
-0.022095980122685432,
0.02966485731303692,
-0.02436182089149952,
-0.011256896890699863,
-0.006576566956937313,
0.040849439799785614,
-0.04637745022773743,
0.00666093360632658,
-0.009794545359909534,
0.04287423565983772,
-0.03266990929841995,
-0.0023843571543693542,
-0.0098909642547369,
0.00687787588685751,
-0.06260795146226883,
-0.03528928756713867,
-0.05936185270547867,
0.03265383839607239,
0.0034610338043421507,
-0.006335519719868898,
0.06305790692567825,
0.0416850708425045,
-0.017178619280457497,
-0.03148074448108673,
0.017917830497026443,
-0.01647154800593853,
0.018448134884238243,
-0.011031920090317726,
0.019830137491226196,
0.007315777707844973,
-0.015579674392938614,
0.022883400321006775,
-0.028989924117922783,
0.07128565013408661,
-0.004358934238553047,
-0.021453186869621277,
0.027961457148194313,
-0.009272276423871517,
0.0003716142091434449,
0.03696054592728615,
-0.012879947200417519,
0.017805341631174088,
-0.03583566099405289,
-0.009947207756340504,
0.03651059418916702,
-0.047277361154556274,
-0.032091397792100906,
0.05315890908241272,
-0.02336549386382103,
0.08002761751413345,
-0.022578073665499687,
-0.03260562941431999,
0.017017921432852745,
0.024667147547006607,
0.011538119055330753,
0.03168965131044388,
0.03194676712155342,
0.010581965558230877,
-0.0012875929241999984,
0.03490361198782921,
-0.03831041231751442,
-0.010236464440822601,
0.005897617898881435,
0.013530774042010307,
-0.04354916512966156,
-0.06826452165842056,
-0.002330121351405978,
0.034517936408519745,
-0.024152914062142372,
-0.02134069800376892,
-0.01032484881579876,
0.007681366056203842,
-0.021485326811671257,
-0.014639590866863728,
-0.03821399062871933,
-0.016519756987690926,
0.04975211247801781,
-0.039949532598257065,
0.0021212140563875437,
0.007275603245943785,
0.06762173026800156,
-0.026531245559453964,
-0.02293160930275917,
0.020424719899892807,
-0.013096889480948448,
-0.006030193530023098,
-0.018351715058088303,
-0.031898558139801025,
0.02776861935853958,
0.009561533108353615,
0.0011389473220333457,
0.03544998541474342,
-0.004591946490108967,
-0.01737145707011223,
0.022754840552806854,
-0.0830487459897995,
0.03724980354309082,
0.007520667742937803,
0.0058011990040540695,
0.076363705098629,
0.027495432645082474,
0.0016521766083315015,
0.0030753586906939745,
-0.041974324733018875,
0.012124666944146156,
-0.018930228427052498,
0.01572430320084095,
-0.007649226114153862,
0.06620758771896362,
-0.041363675147295,
0.017869621515274048,
-0.055922914296388626,
-0.04219930246472359,
0.016841154545545578,
-0.008484856225550175,
-0.0752066820859909,
-0.032557420432567596,
0.0019223502604290843,
-0.010373057797551155,
-0.021581746637821198,
-0.028363201767206192,
0.028588179498910904,
-0.030179090797901154,
0.0008592322701588273,
0.012743353843688965,
-0.04245641827583313,
-0.003878848860040307,
-0.01519399881362915,
-0.05634073168039322,
0.0025068894028663635,
0.00533517450094223,
-0.021597815677523613,
0.02055327780544758,
-0.03210746496915817,
-0.06286507099866867,
0.00003778914833674207,
-0.004579893779009581,
-0.09294774383306503,
-0.015418976545333862,
-0.015089545398950577,
-0.04705238342285156,
0.028877437114715576,
0.025036754086613655,
-0.00856520514935255,
0.023445842787623405,
-0.025599196553230286,
-0.0014764132210984826,
0.015113649889826775,
0.030066601932048798,
-0.016431374475359917,
0.015081509947776794,
-0.026724083349108696,
0.047148801386356354,
0.004716487135738134,
-0.01606980338692665,
-0.002386365784332156,
0.03753906115889549,
0.01010790653526783,
0.051584068685770035,
-0.004764696583151817,
0.019540879875421524,
-0.029343459755182266,
0.04904504120349884,
-0.03422868251800537,
-0.09809008240699768,
-0.04457763582468033,
-0.04155651107430458,
0.07083569467067719,
0.017821412533521652,
0.00155174033716321,
0.02445824071764946,
0.035674963146448135,
0.01865704171359539,
-0.042167164385318756,
0.024811776354908943,
-0.005676657892763615,
-0.02723831683397293,
-0.012646934948861599,
0.0026454913895577192,
-0.05203402414917946,
0.018239226192235947,
0.03741050139069557,
0.021485326811671257,
0.030018392950296402,
-0.024345751851797104,
-0.00138802919536829,
-0.014896707609295845,
0.017387527972459793,
0.019958695396780968,
-0.025358149781823158,
0.046313174068927765,
0.003744264133274555,
-0.00903122965246439,
-0.020890744403004646,
-0.007046608719974756,
0.08889815211296082,
0.010132011026144028,
-0.006018141284584999,
-0.00023175669775810093,
0.027993597090244293,
-0.041877906769514084,
-0.0261455699801445,
-0.026065221056342125,
0.023976147174835205,
-0.020103324204683304,
0.03413226082921028,
-0.013498635031282902,
-0.04663456976413727,
-0.04271353781223297,
0.009979347698390484,
0.01690543256700039,
-0.04682740569114685,
0.011899689212441444,
-0.029214901849627495,
-0.03122362680733204,
-0.03602850064635277,
-0.06251153349876404,
-0.052483975887298584,
-0.018271366134285927,
-0.014278019778430462,
0.03223602473735809,
0.0037221682723611593,
-0.022979818284511566,
-0.07083569467067719,
-0.010027557611465454,
-0.07726361602544785,
-0.04236000031232834,
-0.026161639019846916,
0.013217412866652012,
0.031432535499334335,
-0.035803522914648056,
0.02608129009604454,
-0.029777346178889275,
0.03840683028101921,
0.004861115477979183,
-0.0074403188191354275,
-0.0006533379200845957,
0.024249333888292313,
0.06505056470632553,
-0.05415523797273636,
-0.05762631446123123,
-0.0022176329512149096,
0.04669884964823723,
0.016825083643198013,
-0.030902231112122536,
-0.004688364919275045,
0.050427041947841644,
0.0035494177136570215,
0.02183886244893074,
-0.01575644128024578,
-0.10869614779949188,
0.02707761898636818,
-0.04367772489786148,
0.019990835338830948,
-0.009272276423871517,
0.01619032584130764,
-0.011329211294651031,
-0.006681020837277174,
0.025808103382587433,
-0.016455478966236115,
0.023413702845573425,
-0.006190891843289137,
-0.06910015642642975,
-0.0013438372407108545,
0.007994727231562138,
0.02674015238881111,
-0.0042102886363863945,
0.04232786223292351,
-0.02134069800376892,
-0.02283518947660923,
-0.015378802083432674,
0.12952260673046112,
0.024120774120092392,
-0.009296380914747715,
0.032493140548467636,
0.017708923667669296,
0.016728665679693222,
0.004917359910905361,
0.010622140020132065,
-0.034710776060819626,
-0.01578858122229576,
-0.032428864389657974,
0.018319575116038322,
0.019074857234954834,
0.026466965675354004,
-0.005114214960485697,
-0.04432051628828049,
-0.0034831298980861902,
-0.01280763279646635,
0.0051584066823124886,
0.005379366688430309,
-0.03300737589597702,
0.00325614376924932,
0.0020649696234613657,
0.018544552847743034,
0.028459621593356133,
-0.004053608048707247,
-0.032589562237262726,
0.019171275198459625,
0.04759875684976578,
0.014607450924813747,
0.017805341631174088,
-0.007323812693357468,
-0.04338846728205681,
-0.02114786021411419,
-0.03151288256049156,
-0.029504159465432167,
0.03303951397538185,
-0.010469476692378521,
0.03291095793247223,
0.0014683782355859876,
0.034646496176719666,
-0.018833808600902557,
-0.03538570553064346,
0.036671292036771774,
0.020006904378533363,
0.005680675618350506,
-0.009449044242501259,
-0.037635479122400284,
0.0166001059114933,
-0.03387514501810074,
0.014004833064973354,
0.05936185270547867,
0.038888923823833466,
-0.04425623640418053,
-0.043067071586847305,
0.011626502498984337,
0.01410125195980072,
-0.04576680064201355,
0.031239697709679604,
-0.02187100239098072,
-0.04345274716615677,
-0.06373284012079239,
0.010879256762564182,
-0.010332883335649967,
0.00005533410876523703,
-0.01410125195980072,
-0.007351934909820557,
-0.005423558410257101,
0.0040696775540709496,
0.06379711627960205,
0.031464673578739166,
-0.007633156608790159,
-0.009947207756340504,
0.00044242176227271557,
-0.019251624122262,
-0.001751608564518392,
0.004017450846731663,
0.01136938575655222,
0.05849408358335495,
0.000852201774250716,
0.01753215491771698,
-0.001242396654561162,
0.041363675147295,
0.052612535655498505,
0.043163493275642395,
0.06845736503601074,
0.0024988544173538685,
-0.020987162366509438,
-0.010814977809786797,
-0.02760792151093483,
0.02707761898636818,
0.0009124635253101587,
0.030596904456615448,
0.04367772489786148,
0.022883400321006775,
-0.016953641548752785,
0.004531684331595898,
-0.023606540635228157,
0.016423339024186134,
0.005981984082609415,
0.05322318896651268,
-0.057819150388240814,
0.006516305264085531,
-0.01459941640496254,
0.022754840552806854,
0.034550078213214874,
0.002255798550322652,
-0.02399221621453762,
0.03223602473735809,
-0.05087699741125107,
0.029086343944072723,
0.005383383948355913,
-0.013948589563369751,
-0.0069381375797092915,
0.00300304451957345,
-0.03625347465276718,
0.034453656524419785,
-0.004011424724012613,
0.013000470586121082,
-0.017837481573224068,
-0.012454097159206867,
-0.0037221682723611593,
0.055922914296388626,
0.02776861935853958,
0.011666676960885525,
-0.02224060706794262,
0.04888433963060379,
0.026386616751551628,
0.021163931116461754,
-0.014639590866863728,
0.0038165783043950796,
-0.017917830497026443,
-0.014607450924813747,
0.0027881108690053225,
-0.012309469282627106,
0.0016802988247945905,
0.00300304451957345,
-0.021887071430683136,
-0.017323248088359833,
-0.007596999406814575,
0.022112049162387848,
-0.007255516014993191,
-0.03593207895755768,
0.025695614516735077,
-0.05605147406458855,
0.011264932341873646,
-0.011425630189478397,
0.013120993971824646,
0.000009408053301740438,
0.006078402977436781,
0.05116625502705574,
0.005519977305084467,
0.009915068745613098,
0.030500486493110657,
0.012630864977836609,
0.04001380875706673,
-0.041010137647390366,
-0.0017596434336155653,
0.026290198788046837,
-0.005057970527559519,
-0.016744734719395638,
0.001156021491624415,
0.008525030687451363,
0.006524340249598026,
0.0360606387257576,
-0.010517686605453491,
0.022658422589302063,
-0.042006466537714005,
-0.005222686100751162,
0.0047405920922756195,
0.04888433963060379,
0.0328788161277771,
-0.0007341891177929938,
-0.053608864545822144,
-0.01349059958010912,
0.010172185488045216,
0.017483945935964584,
-0.05733705684542656,
0.05110197514295578,
-0.019733717665076256,
0.020360440015792847,
-0.006652898620814085,
-0.022594142705202103,
-0.020826464518904686,
0.0021413012873381376,
-0.03869608789682388,
0.005383383948355913,
-0.0019404287450015545,
0.004845045506954193,
0.0021814757492393255,
-0.005692727863788605,
-0.013820030726492405,
-0.009730265475809574,
-0.007147044874727726,
-0.00741621432825923,
-0.03406798094511032,
0.04280995577573776,
0.03686412796378136,
-0.07115709036588669,
0.0074965632520616055,
0.026466965675354004,
0.045188285410404205,
-0.016584036871790886,
-0.00165719841606915,
0.006403816398233175,
0.02710975892841816,
0.06347572058439255,
0.043163493275642395,
0.018865948542952538,
0.008267913945019245,
-0.040881577879190445,
0.013048680499196053,
0.007175167091190815,
0.013530774042010307,
0.009738300926983356,
0.04923787713050842,
0.031159348785877228,
-0.0015437054680660367,
-0.005286965053528547,
-0.011610432527959347,
-0.009408869780600071,
0.021999560296535492,
-0.025759894400835037,
0.03847111016511917,
0.025872383266687393,
-0.03207532688975334,
0.000707573548424989,
0.04608819633722305,
0.033393051475286484,
-0.011554188095033169,
-0.03175393119454384,
0.0023923919070512056,
0.028122154995799065,
-0.013948589563369751,
-0.06035818159580231,
0.010188255459070206,
0.05084485560655594,
-0.0586547814309597,
-0.010356987826526165,
0.0363820344209671,
0.013402216136455536,
-0.023076238110661507,
0.027816830202937126,
-0.03750691935420036,
-0.017644643783569336,
-0.01815887726843357,
-0.005315087269991636,
0.02932739071547985,
-0.00587351294234395,
0.04788801446557045,
-0.03753906115889549,
-0.014687799848616123,
0.026258058845996857,
-0.033425189554691315,
0.028411412611603737,
-0.031834281980991364,
-0.013080819509923458,
0.04570252075791359,
-0.013096889480948448,
-0.04229572042822838,
0.00395317142829299,
-0.024843916296958923,
0.031127208843827248,
-0.016013558954000473,
-0.007596999406814575,
0.02342977374792099,
0.026386616751551628,
0.03512858971953392,
-0.0027017355896532536,
0.03589994087815285,
-0.008717868477106094,
-0.003334484063088894,
0.057883430272340775,
-0.02352619171142578,
0.07674937695264816,
-0.03699268773198128,
0.028186434879899025,
0.02558312751352787,
0.0020910832099616528,
-0.017242899164557457,
0.02677229233086109,
0.032332442700862885,
0.0143985440954566,
0.02545456774532795,
0.0060060890391469,
0.03802115470170975,
-0.007998744957149029,
0.015563604421913624,
0.015290417708456516,
-0.034775055944919586,
-0.04477047175168991,
0.003503217129036784,
0.015033300966024399,
-0.02432968281209469,
0.030468346551060677,
0.002761997515335679,
0.038888923823833466,
-0.008942845277488232,
-0.018367785960435867,
0.01612604781985283,
-0.053833842277526855,
-0.016519756987690926,
0.004921377170830965,
-0.018801670521497726,
-0.007516650483012199,
0.01610194332897663,
0.007580929435789585,
-0.025840243324637413,
-0.023879727348685265,
-0.020440788939595222,
-0.002512915525585413,
0.02270663157105446,
-0.014109287410974503,
0.015266313217580318,
0.013972694054245949,
0.019830137491226196,
0.016953641548752785,
-0.03927459940314293,
-0.053608864545822144,
-0.008022849448025227,
-0.006166786886751652,
-0.03516072779893875,
-0.034775055944919586,
-0.0395638570189476,
-0.03647845238447189,
-0.006271240767091513,
-0.05078057944774628,
-0.0205211378633976,
0.06334716081619263,
-0.018801670521497726,
-0.007134992629289627,
-0.027848968282341957,
0.02161388471722603,
0.02339763380587101,
-0.007243463769555092,
0.014294089749455452,
-0.02508496306836605,
0.05974752828478813,
0.02823464386165142,
-0.010646244511008263,
0.008388437330722809,
0.019106995314359665,
-0.007014469243586063,
-0.0052789305336773396,
-0.010051662102341652,
0.0020006904378533363,
-0.026386616751551628,
0.005359279457479715,
0.009746335446834564,
-0.014028938487172127,
0.02061755768954754,
0.007436301559209824,
0.013378110714256763,
-0.01918734423816204,
0.030130881816148758,
0.00404758146032691,
-0.0033284579403698444,
0.010630174539983273,
-0.0036378016229718924,
0.04756661877036095,
0.025261729955673218,
0.004431248176842928,
0.05389811843633652,
-0.008870531804859638,
-0.016399234533309937,
-0.020488999783992767,
0.01955695077776909,
-0.0052628605626523495,
0.01859276182949543,
0.014647625386714935,
-0.01480028871446848,
0.011988073587417603,
0.004286619834601879,
0.00654442748054862,
-0.018046388402581215,
0.009167823009192944,
-0.019203415140509605,
0.021083582192659378,
-0.01650368794798851,
-0.0201515331864357,
0.0018651015125215054,
-0.015370766632258892,
0.004322777036577463,
0.01968550868332386,
0.05013778433203697,
0.006046263501048088,
0.036735571920871735,
0.04120297357439995,
-0.02240130491554737,
-0.04547754302620888,
0.009722230955958366,
-0.002563133602961898,
-0.006584601942449808,
0.011722921393811703,
0.016712594777345657,
-0.024683218449354172,
0.04146009311079979,
0.032461002469062805,
-0.018544552847743034,
-0.021854931488633156,
0.044191960245370865,
0.012566586025059223,
0.008388437330722809,
-0.03802115470170975,
-0.004708452150225639,
-0.0031054895371198654,
-0.017419666051864624,
-0.019380182027816772,
0.013787890784442425,
-0.005339192226529121,
0.009473148733377457,
-0.02754364348948002,
-0.001676281332038343,
-0.03487147390842438,
0.015129719860851765,
-0.012534446083009243,
0.010035592131316662,
0.02339763380587101,
0.010180220007896423,
-0.05923329293727875,
0.04396698251366615,
0.006130630150437355,
0.04923787713050842,
0.04342060908675194,
-0.0018520448356866837,
0.052676815539598465,
-0.041138697415590286,
-0.030211230739951134,
-0.039917390793561935,
-0.011714886873960495,
-0.007817959412932396,
-0.0020378518383949995,
-0.03300737589597702,
0.04248856008052826,
0.03625347465276718,
0.03262170031666756,
0.02939167059957981,
-0.02654731459915638,
-0.05106983333826065,
0.03808543458580971,
0.007785819470882416,
0.008063023909926414,
-0.002476758323609829,
-0.014028938487172127,
-0.036735571920871735,
0.01643940806388855,
0.046473871916532516,
-0.042231444269418716,
0.012172875925898552,
-0.026659803465008736,
-0.002482784679159522,
-0.015587708912789822,
-0.03503217175602913,
-0.02751150354743004,
0.0042303758673369884,
-0.004716487135738134,
-0.015571638941764832,
-0.026258058845996857,
-0.0132575873285532,
-0.007396127097308636,
-0.01875345967710018,
-0.015290417708456516,
0.009762405417859554,
0.011505979113280773,
-0.02664373442530632,
0.0047405920922756195,
-0.0038587613962590694,
0.0201515331864357,
0.0026916919741779566,
-0.043163493275642395,
-0.04239214211702347,
-0.003493173513561487,
0.007918395102024078,
-0.024185054004192352,
0.005463732872158289,
0.015483255498111248,
0.008308088406920433,
-0.030612975358963013,
-0.015555569902062416,
0.007858133874833584,
-0.03760334104299545,
-0.013578983955085278,
0.008075076155364513,
0.01693757250905037,
0.004845045506954193,
-0.015997489914298058,
-0.02720617689192295,
-0.02548670768737793,
0.0438062846660614,
-0.006202944088727236,
-0.026386616751551628,
0.03101471997797489,
0.017500014975667,
-0.002332130214199424,
0.02966485731303692,
0.0020951007027179003,
-0.024699287489056587,
0.011883619241416454,
-0.009625812061131,
-0.013892345130443573,
0.05528012290596962,
0.019106995314359665,
-0.008227739483118057,
-0.004949499387294054,
0.016680454835295677,
0.02034437097609043,
-0.04888433963060379,
0.010461442172527313,
0.048787921667099,
0.011272966861724854,
-0.028620319440960884,
0.0277364794164896,
0.028379272669553757,
0.0035775399301201105,
-0.015025266446173191,
0.0030291578732430935,
0.009738300926983356,
0.0008070054464042187,
-0.008067041635513306,
-0.013466495089232922,
0.01176309585571289,
-0.03908175975084305,
0.00546775059774518,
-0.023477982729673386,
0.00521866837516427,
-0.07764928787946701
] |
This paper presents a generic approach for applying the cognitive workload
recognizer by exploiting common electroencephalogram (EEG) patterns across
different human-machine tasks and individual sets. We propose a neural network
called SCVCNet, which eliminates task- and individual-set-related interferences
in EEGs by analyzing finer-grained frequency structures in the power spectral
densities. The SCVCNet utilizes a sliding cross-vector convolution (SCVC)
operation, where paired input layers representing the theta and alpha power are
employed. By extracting the weights from a kernel matrix's central row and
column, we compute the weighted sum of the two vectors around a specified scalp
location. Next, we introduce an inter-frequency-point feature integration
module to fuse the SCVC feature maps. Finally, we combined the two modules with
the output-channel pooling and classification layers to construct the model. To
train the SCVCNet, we employ the regularized least-square method with ridge
regression and the extreme learning machine theory. We validate its performance
using three databases, each consisting of distinct tasks performed by
independent participant groups. The average accuracy (0.6813 and 0.6229) and F1
score (0.6743 and 0.6076) achieved in two different validation paradigms show
partially higher performance than the previous works. All features and
algorithms are available on website:https://github.com/7ohnKeats/SCVCNet. | [
-0.0037380033172667027,
-0.0203945804387331,
-0.02445286139845848,
-0.007656565867364407,
0.022698858752846718,
-0.00039121138979680836,
0.05172588303685188,
0.04876815527677536,
-0.01286268699914217,
0.04481305181980133,
0.046670228242874146,
-0.06314409524202347,
-0.003621929557994008,
-0.00953524000942707,
0.06049589812755585,
0.009122533723711967,
0.002291381126269698,
-0.0409611240029335,
-0.02158111147582531,
-0.013017451390624046,
0.014341551810503006,
-0.030161969363689423,
-0.016800595447421074,
-0.07566286623477936,
-0.008443287573754787,
0.043953243643045425,
0.0670992061495781,
0.009741593152284622,
-0.05819161981344223,
0.00237736152485013,
0.008727023378014565,
0.0022978296037763357,
-0.03243185579776764,
0.002150587970390916,
-0.014393139630556107,
-0.059017032384872437,
0.006005739793181419,
0.04154578968882561,
0.029319358989596367,
0.0028545535169541836,
0.0135849229991436,
0.050659727305173874,
0.003808937268331647,
-0.043815676122903824,
0.01428996305912733,
-0.050831686705350876,
-0.04553528502583504,
-0.012355401180684566,
0.007355634123086929,
0.00802628230303526,
0.02163270115852356,
-0.03679966554045677,
0.03284456208348274,
-0.0101371044293046,
-0.013387167826294899,
0.0005497380043379962,
0.026688355952501297,
0.016688819974660873,
0.080477774143219,
0.020944856107234955,
0.00869693048298359,
0.049593567848205566,
-0.10379569232463837,
-0.02452164515852928,
0.00012332831101957709,
0.022698858752846718,
0.060255151242017746,
0.004288278520107269,
0.04725489765405655,
-0.005511351861059666,
-0.09237747639417648,
0.026000510901212692,
-0.03088420443236828,
0.030144771561026573,
-0.01138382125645876,
0.015493690967559814,
0.014341551810503006,
0.060220759361982346,
0.007514697965234518,
-0.0135505311191082,
0.0029491321183741093,
0.025020333006978035,
0.003192027099430561,
0.0077124531380832195,
0.034770525991916656,
-0.04281830042600632,
-0.02959449775516987,
-0.04986870661377907,
0.015708642080426216,
-0.03900076821446419,
-0.02175307273864746,
0.07820788770914078,
0.00028722870047204196,
0.04371250048279762,
0.008267027325928211,
-0.020085051655769348,
0.05722863972187042,
-0.026464805006980896,
-0.06369437277317047,
-0.019259637221693993,
0.0064184460788965225,
0.0045397719368338585,
0.0058982642367482185,
-0.050590939819812775,
0.04866497591137886,
0.0002528364711906761,
0.008387400768697262,
0.01421258132904768,
0.004569864831864834,
0.11363185942173004,
-0.014057816006243229,
-0.0016357795102521777,
0.04773638769984245,
-0.04883693903684616,
-0.007162177935242653,
-0.011684753932058811,
-0.010042525827884674,
-0.04900889843702316,
-0.006156205665320158,
-0.033343248069286346,
0.006177700590342283,
0.04880254715681076,
-0.01559686753898859,
0.035699114203453064,
-0.022561289370059967,
0.107716403901577,
-0.011925498954951763,
0.018606185913085938,
0.007841424085199833,
0.038760021328926086,
0.009793181903660297,
0.03814096003770828,
-0.003845479106530547,
-0.025415843352675438,
0.015012199990451336,
-0.0014143796870484948,
-0.003774545155465603,
0.0544084757566452,
0.016018172726035118,
-0.060186367481946945,
-0.010042525827884674,
0.00816814973950386,
-0.02572537399828434,
0.046601444482803345,
0.024917155504226685,
-0.0013531185686588287,
0.019999070093035698,
0.04907768592238426,
0.014651081524789333,
0.028115632012486458,
-0.03141728416085243,
0.07428717613220215,
-0.016654428094625473,
0.049559175968170166,
-0.02182185836136341,
-0.007424418348819017,
0.006246485281735659,
-0.027806101366877556,
-0.002394557697698474,
-0.0024096041452139616,
0.03348081558942795,
0.012828294187784195,
0.020944856107234955,
0.007755443453788757,
0.029474124312400818,
0.023610252887010574,
0.03250063955783844,
0.021305974572896957,
-0.0676838681101799,
0.04350614547729492,
-0.05179467052221298,
0.003753049997612834,
0.022733250632882118,
0.015132572501897812,
0.01408360991626978,
0.025983314961194992,
0.05268886685371399,
-0.045604072511196136,
-0.033068109303712845,
0.02445286139845848,
-0.0402732789516449,
0.015166964381933212,
0.032982129603624344,
-0.04440034180879593,
0.023782214149832726,
0.006392652168869972,
0.057538166642189026,
-0.022200170904397964,
0.022217368707060814,
-0.04904329031705856,
0.03655891865491867,
0.026034902781248093,
0.050522156059741974,
-0.01732507534325123,
0.013335580006241798,
-0.053445495665073395,
-0.02182185836136341,
0.030161969363689423,
0.05179467052221298,
0.0014949863543733954,
-0.06073664501309395,
-0.010730369947850704,
0.02312876097857952,
-0.0034929588437080383,
-0.013051844201982021,
0.03348081558942795,
0.06967861950397491,
-0.05578416585922241,
-0.011177468113601208,
-0.01290567684918642,
-0.02830478921532631,
0.009784583933651447,
-0.024057351052761078,
-0.012828294187784195,
-0.02424650825560093,
-0.03482211381196976,
0.0546148307621479,
-0.009079543873667717,
0.03790021687746048,
0.026705551892518997,
0.028046848252415657,
0.018623381853103638,
0.056162480264902115,
-0.030265145003795624,
-0.02557060867547989,
-0.016963956877589226,
0.012321009300649166,
0.012768108397722244,
-0.026739943772554398,
0.012020077556371689,
-0.022354936227202415,
0.01636209338903427,
0.048114702105522156,
-0.018279459327459335,
0.03219110891222954,
-0.019723933190107346,
0.05041898041963577,
-0.043953243643045425,
-0.0018292356980964541,
0.0068096574395895,
0.005360885988920927,
-0.05554341897368431,
-0.03119373507797718,
0.009569632820785046,
0.023249134421348572,
-0.013447354547679424,
-0.008761415258049965,
0.049249645322561264,
0.022458113729953766,
-0.007497502025216818,
-0.08680593967437744,
0.015493690967559814,
0.007948899641633034,
0.022200170904397964,
0.023799410089850426,
-0.0018539550947025418,
0.0820598155260086,
-0.030815420672297478,
0.018382636830210686,
-0.03336044400930405,
0.026017706841230392,
0.022165779024362564,
-0.04866497591137886,
0.04299026355147362,
-0.024693606421351433,
-0.007781237829476595,
0.04347175359725952,
-0.009853368625044823,
0.036043036729097366,
-0.06575790792703629,
0.0038261334411799908,
0.02275044657289982,
-0.024143332615494728,
-0.013352775946259499,
0.017247693613171577,
-0.037177979946136475,
0.046876583248376846,
-0.01748843863606453,
0.0202914047986269,
0.023730624467134476,
0.004651546478271484,
0.03906955197453499,
0.07607556879520416,
0.017299281433224678,
-0.005206120666116476,
-0.04708293452858925,
0.015700044110417366,
-0.02189064212143421,
0.00009430989302927628,
0.01285408902913332,
0.0030415609944611788,
-0.04340296983718872,
-0.038588058203458786,
0.003819684963673353,
0.00389276840724051,
-0.020962052047252655,
-0.01767759583890438,
0.0034542677458375692,
0.027668533846735954,
-0.06510445475578308,
-0.07146701216697693,
-0.02457323484122753,
0.030247949063777924,
0.04732368141412735,
-0.07084795087575912,
0.027892082929611206,
0.01771198771893978,
0.03501126915216446,
0.03258661925792694,
-0.021168405190110207,
-0.0037251063622534275,
-0.003905665362253785,
0.014307159930467606,
-0.008662537671625614,
-0.013455952517688274,
0.03253503143787384,
0.0055543421767652035,
0.044090814888477325,
-0.00535228755325079,
0.0038368809036910534,
-0.006831152830272913,
0.03215671703219414,
-0.09650453925132751,
0.05832918733358383,
-0.015493690967559814,
-0.014823042787611485,
0.008752817288041115,
0.0538582019507885,
-0.026774335652589798,
-0.006177700590342283,
0.017084330320358276,
0.006328166928142309,
-0.058913856744766235,
-0.01597518101334572,
0.02553621679544449,
0.01615574024617672,
-0.015803219750523567,
0.02152952365577221,
-0.03497687727212906,
-0.0271870419383049,
0.01626751571893692,
0.013266795314848423,
-0.054305300116539,
0.008460483513772488,
-0.02830478921532631,
-0.04347175359725952,
-0.0020097948145121336,
-0.009165524505078793,
0.007622173521667719,
-0.02177026867866516,
0.0009946872014552355,
-0.013834266923367977,
0.03389352187514305,
0.01086793839931488,
-0.01757442019879818,
-0.030557479709386826,
-0.02579415775835514,
0.010111309587955475,
0.026086492463946342,
-0.046807799488306046,
-0.038725629448890686,
0.004217344801872969,
-0.007136383559554815,
-0.014479120261967182,
-0.05148513987660408,
-0.01151279266923666,
-0.026688355952501297,
-0.02316315285861492,
0.01640508510172367,
0.002486986806616187,
-0.00809506606310606,
0.046635836362838745,
-0.0005846675485372543,
0.0069687217473983765,
-0.034615758806467056,
0.016671624034643173,
0.005919759161770344,
-0.005249110981822014,
0.0005126589094288647,
0.040135707706213,
-0.011435410007834435,
-0.005502753891050816,
0.0018034415552392602,
0.011710547842085361,
0.024040155112743378,
0.04429716616868973,
0.006706480868160725,
-0.022268956527113914,
-0.016774801537394524,
0.05017823353409767,
-0.011650361120700836,
-0.056128088384866714,
-0.028786279261112213,
-0.06465735286474228,
0.009715799242258072,
-0.00067924614995718,
0.02299119345843792,
0.016877977177500725,
0.07064159959554672,
-0.0001434800069546327,
-0.04694536700844765,
0.06864684820175171,
0.0032414658926427364,
-0.026447609066963196,
-0.03759068623185158,
-0.016018172726035118,
-0.030815420672297478,
-0.006964422762393951,
0.016516858711838722,
0.025054724887013435,
0.029302163049578667,
0.0024225013330578804,
-0.030471498146653175,
-0.022372132167220116,
0.020927660167217255,
0.028992634266614914,
-0.015665652230381966,
0.026567982509732246,
-0.009079543873667717,
-0.01605256460607052,
-0.0676150843501091,
-0.005863871891051531,
0.09980619698762894,
0.02048056200146675,
0.0021538122091442347,
0.04708293452858925,
0.013817070983350277,
-0.014711268246173859,
-0.0003517140867188573,
-0.010627193376421928,
0.01626751571893692,
0.005257708951830864,
0.021271582692861557,
-0.000210114914807491,
0.04347175359725952,
0.0102058881893754,
-0.014049218036234379,
0.038725629448890686,
-0.008202542550861835,
-0.038760021328926086,
-0.007394325453788042,
-0.022303348407149315,
0.0056188274174928665,
-0.05709106847643852,
-0.05251690372824669,
-0.024659214541316032,
0.008236934430897236,
0.024624822661280632,
0.018331049010157585,
-0.046635836362838745,
-0.06046150624752045,
0.045363325625658035,
-0.06964422762393951,
-0.02570817805826664,
0.001966804498806596,
0.01898450031876564,
-0.011366625316441059,
-0.03480491787195206,
0.02314595691859722,
-0.03121093101799488,
0.028786279261112213,
0.0409955158829689,
0.030058791860938072,
-0.036043036729097366,
0.024607626721262932,
0.04594799131155014,
-0.016663026064634323,
-0.06046150624752045,
-0.007024609018117189,
0.023816606029868126,
-0.03133130446076393,
-0.02142634615302086,
0.02971486933529377,
0.07800153642892838,
-0.00809506606310606,
0.03509724885225296,
-0.006182000041007996,
-0.08446726948022842,
0.029319358989596367,
0.010747565887868404,
0.009638416580855846,
-0.016645830124616623,
0.037006016820669174,
-0.003082401817664504,
-0.015493690967559814,
-0.005876768846064806,
-0.041133083403110504,
0.03366997465491295,
-0.016534054651856422,
-0.04904329031705856,
0.007630771491676569,
0.011736341752111912,
0.02158111147582531,
-0.013146422803401947,
-0.03759068623185158,
-0.031898774206638336,
0.010317662730813026,
-0.03690284118056297,
0.10379569232463837,
0.0204289723187685,
0.0135333351790905,
-0.005421072244644165,
0.04278390854597092,
0.034615758806467056,
-0.024676410481333733,
0.021082425490021706,
0.03525201603770256,
0.013352775946259499,
-0.0015949388034641743,
0.0271182581782341,
0.07449352741241455,
0.0019582065287977457,
0.004159308038651943,
-0.015295935794711113,
0.0200506579130888,
0.025347059592604637,
-0.01900169625878334,
-0.01425557117909193,
-0.0066333976574242115,
0.037109196186065674,
-0.003808937268331647,
0.012329607270658016,
-0.02316315285861492,
0.00637115677818656,
-0.03762507811188698,
0.010369251482188702,
0.020755698904395103,
0.026791531592607498,
0.011358027346432209,
-0.03210512921214104,
-0.04608556255698204,
-0.008473380468785763,
-0.05774452164769173,
-0.04697975888848305,
0.01152139063924551,
0.0015691445441916585,
0.010971114970743656,
-0.015786023810505867,
-0.029061418026685715,
-0.03927590325474739,
0.011340831406414509,
0.07525015622377396,
-0.013808472082018852,
-0.03662770241498947,
-0.019328422844409943,
-0.006676387973129749,
0.01138382125645876,
-0.08288522809743881,
0.03676527366042137,
0.010455232113599777,
-0.00883879791945219,
-0.006826853845268488,
-0.03263820707798004,
-0.02053214982151985,
0.0040045431815087795,
-0.01490042544901371,
-0.0001926501136040315,
-0.050866078585386276,
0.01624172180891037,
-0.018606185913085938,
0.01913926564157009,
-0.016749005764722824,
0.011125880293548107,
-0.011057095602154732,
0.023266330361366272,
0.02048056200146675,
-0.022217368707060814,
0.08577417582273483,
-0.015829015523195267,
0.028803477063775063,
0.0022935306187719107,
-0.042371202260255814,
-0.02422931231558323,
0.026757139712572098,
-0.0013853611890226603,
0.02149513177573681,
0.030385518446564674,
-0.02292240783572197,
0.026172472164034843,
0.012475774623453617,
0.002805114723742008,
-0.005868170876055956,
0.045466501265764236,
0.05685032531619072,
-0.000060488644521683455,
-0.011977087706327438,
-0.0401013158261776,
-0.03776264563202858,
-0.04226802662014961,
-0.03095299005508423,
-0.012364000082015991,
0.05502753704786301,
0.009328886866569519,
-0.02185625024139881,
-0.021254386752843857,
-0.04845862463116646,
0.02968047745525837,
0.021013639867305756,
0.04732368141412735,
-0.06310970336198807,
0.027634141966700554,
0.03336044400930405,
0.0272214338183403,
0.04495061933994293,
0.006345362868160009,
-0.007630771491676569,
0.037143588066101074,
0.004105570260435343,
-0.008254130370914936,
0.02441846951842308,
0.0271182581782341,
0.02980085089802742,
0.03961982578039169,
-0.022544093430042267,
0.026206864044070244,
0.029147397726774216,
0.04278390854597092,
0.0018410580232739449,
0.014573698863387108,
-0.016800595447421074,
0.0676494762301445,
-0.012690725736320019,
0.03140008822083473,
-0.02849394641816616,
0.054924361407756805,
0.04182092845439911,
-0.00440650200471282,
-0.011916900984942913,
0.008331513032317162,
-0.01081635057926178,
-0.042508773505687714,
0.03934468701481819,
-0.04378128424286842,
0.004896590951830149,
0.004612855147570372,
0.037177979946136475,
-0.023816606029868126,
-0.01620732992887497,
-0.01428996305912733,
0.004845002666115761,
0.0025708177126944065,
0.011977087706327438,
-0.05234494432806969,
0.056265655905008316,
0.0013552680611610413,
0.01643087901175022,
-0.03752190247178078,
-0.011014105752110481,
0.05544024333357811,
0.019431598484516144,
0.05987683683633804,
-0.0013090535067021847,
0.01424697320908308,
0.020016266033053398,
-0.04993749037384987,
-0.022268956527113914,
0.027410591021180153,
-0.02319754660129547,
0.03377315029501915,
-0.03348081558942795,
-0.013473148457705975,
0.01876095123589039,
0.004806311335414648,
-0.049593567848205566,
0.046773407608270645,
0.0020796540193259716,
-0.024934353306889534,
0.00477191898971796,
0.02854553423821926,
0.0806153416633606,
-0.004677340388298035,
-0.038725629448890686,
-0.06269700080156326,
0.003675667569041252,
-0.01900169625878334,
-0.030024399980902672,
0.022526897490024567,
0.02964608557522297,
-0.018279459327459335,
-0.00574779836460948,
-0.050522156059741974,
0.0011209710501134396,
0.008959170430898666,
-0.027444984763860703,
0.04233681038022041,
-0.006422745063900948,
-0.03368717059493065,
0.04374689236283302,
-0.03937908262014389,
-0.035836681723594666,
0.012802500277757645,
-0.01605256460607052,
0.007084795273840427,
0.00028642264078371227,
0.022303348407149315,
0.03738433122634888,
-0.03208793327212334,
0.0271698459982872,
0.04715172201395035,
0.0400669239461422,
-0.026860317215323448,
-0.017239095643162727,
-0.035664722323417664,
0.006117514334619045,
0.012759510427713394,
0.006276578176766634,
0.00886459182947874,
0.020944856107234955,
-0.05186345428228378,
0.017084330320358276,
0.011186066083610058,
-0.008434689603745937,
-0.007553389295935631,
0.02560500055551529,
0.03552715480327606,
0.021942229941487312,
0.01741965487599373,
-0.010979712940752506,
-0.040032532066106796,
0.032019149512052536,
0.00238595949485898,
0.015751631930470467,
0.039998140186071396,
-0.06541398167610168,
-0.06637696921825409,
0.048149093985557556,
0.04182092845439911,
-0.0101886922493577,
-0.048045918345451355,
0.007776938378810883,
0.026533590629696846,
-0.0100253289565444,
-0.029267771169543266,
0.005838077515363693,
0.02849394641816616,
-0.03673088178038597,
0.014350149780511856,
0.012527362443506718,
-0.029284967109560966,
0.016585644334554672,
-0.03621499612927437,
-0.057538166642189026,
0.015794621780514717,
0.0067580691538751125,
-0.004230241756886244,
0.008610949851572514,
-0.03563033044338226,
0.043850068002939224,
-0.020600933581590652,
0.022612879052758217,
0.038416098803281784,
-0.011057095602154732,
0.04976552724838257,
-0.04739246517419815,
-0.023747820407152176,
0.00949225015938282,
-0.026258451864123344,
-0.004930983297526836,
0.007583482190966606,
0.012398391962051392,
0.009010759182274342,
0.030798224732279778,
0.006139009725302458,
0.0035337996669113636,
0.07917086780071259,
0.03379034623503685,
-0.027066670358181,
0.024813979864120483,
0.013309785164892673,
-0.016508260741829872,
0.020979247987270355,
-0.0010430512484163046,
0.07930843532085419,
-0.05024702101945877,
-0.004827806726098061,
0.005201821681112051,
0.04371250048279762,
0.004806311335414648,
0.01637069135904312,
0.01874375529587269,
-0.005979945417493582,
0.014410336501896381,
0.05169149115681648,
0.026344433426856995,
-0.053307924419641495,
-0.01636209338903427,
-0.026722747832536697,
-0.02727302350103855,
0.003879871219396591,
0.03762507811188698,
-0.015295935794711113,
-0.0015530232340097427,
0.022561289370059967,
0.006818255875259638,
0.04642948508262634,
-0.023679036647081375,
-0.03275857865810394,
0.07077916711568832,
-0.044056423008441925,
0.01286268699914217,
0.019586363807320595,
-0.005459763575345278,
-0.05819161981344223,
-0.012020077556371689,
-0.010730369947850704,
-0.020910464227199554,
-0.014496317133307457,
-0.005786489229649305,
-0.0404452383518219,
-0.00575639633461833,
-0.009062347002327442,
-0.0402388870716095,
0.007230962160974741,
0.06228429451584816,
0.03284456208348274,
-0.012157646007835865,
-0.03219110891222954,
0.004096972290426493,
-0.005197522696107626,
-0.026585178449749947,
-0.010781957767903805,
0.0014595193788409233,
0.03635256737470627,
-0.012656333856284618,
-0.03975739702582359,
-0.04446912929415703,
0.02281923219561577,
0.005971347447484732,
0.00934608280658722,
-0.01877814717590809,
0.021340366452932358,
-0.0014347999822348356,
-0.04188971221446991,
-0.010068319737911224,
0.004526874516159296,
0.03224269673228264,
0.0031984755769371986,
-0.007819929160177708,
0.024951549246907234,
0.03363558277487755,
0.038656845688819885,
0.022681662812829018,
0.02166709303855896,
-0.011951292864978313,
-0.031692422926425934,
-0.003860525554046035,
0.01748843863606453,
-0.004918085876852274,
0.021323170512914658,
0.014143796637654305,
0.00008779417839832604,
0.041339438408613205,
0.041098691523075104,
-0.011598773300647736,
-0.013051844201982021,
0.015261542983353138,
0.020962052047252655,
-0.04501940310001373,
-0.0003670293663162738,
-0.011977087706327438,
-0.005158831365406513,
-0.03138289228081703,
0.0025192294269800186,
0.020704111084342003,
0.0019399356096982956,
-0.038656845688819885,
0.026327237486839294,
0.004887992981821299,
-0.021219993010163307,
0.027530964463949203,
-0.03396230936050415,
-0.03196755796670914,
-0.007501801010221243,
0.007626472506672144,
-0.018606185913085938,
-0.02857992611825466,
-0.008619547821581364,
-0.03483930975198746,
-0.009303092956542969,
0.029267771169543266,
0.03349801152944565,
0.006650593597441912,
0.009939349256455898,
-0.03379034623503685,
0.033119697123765945,
-0.010274672880768776,
-0.01070457510650158,
-0.0536174550652504,
0.009990937076508999,
-0.010334859602153301,
-0.030523085966706276,
0.02429809607565403,
-0.0006373306387104094,
-0.04622313007712364,
0.026378825306892395,
-0.01869216561317444,
-0.015055189840495586,
-0.0271526500582695,
-0.02051495388150215,
0.0536518469452858,
0.012983059510588646,
-0.04223363474011421,
-0.03227708861231804,
0.0012026525801047683,
-0.022251760587096214,
-0.006779564544558525,
0.00287389918230474,
-0.04718611389398575,
0.015648456290364265,
-0.012501568533480167,
-0.0410642996430397,
-0.008881788700819016,
-0.02976645715534687,
-0.034529779106378555,
0.025261078029870987,
0.01292287278920412,
0.016800595447421074,
-0.027444984763860703,
0.0271870419383049,
-0.05588734149932861,
0.012587549164891243,
0.027892082929611206,
-0.022647270932793617,
0.01879534311592579,
-0.038519274443387985,
-0.023919781669974327,
-0.019448794424533844,
-0.06180280074477196,
-0.009036553092300892,
-0.008310018107295036,
-0.017221899703145027,
0.04357492923736572,
0.04305904731154442,
0.026310041546821594,
0.030368322506546974,
-0.005932656116783619,
-0.01623312383890152,
-0.008322915062308311,
-0.024917155504226685,
0.00739002600312233,
0.0033725860994309187,
0.018313851207494736,
-0.010601398535072803,
0.03879441320896149,
0.009363279677927494,
-0.053342320024967194,
0.030385518446564674,
-0.041201867163181305,
0.010515417903661728,
0.04715172201395035,
-0.03098738193511963,
-0.03693723306059837,
0.010377849452197552,
-0.014565100893378258,
-0.006147607695311308,
-0.015244347043335438,
-0.023610252887010574,
-0.04567285627126694,
-0.007192270830273628,
0.01494341529905796,
0.0026224059984087944,
-0.03900076821446419,
-0.028700299561023712,
0.00010713979281717911,
-0.023747820407152176,
0.01151279266923666,
-0.03112495131790638,
-0.024074546992778778,
-0.0016723212320357561,
0.026155276224017143,
0.005545743741095066,
-0.024676410481333733,
0.0018647026736289263,
0.013946041464805603,
-0.014797248877584934,
0.014410336501896381,
0.02845955453813076,
-0.0033059511333703995,
0.003505856031551957,
0.0019485336961224675,
0.00880440603941679,
0.009612622670829296,
0.01636209338903427,
-0.009810377843677998,
0.030247949063777924,
-0.009655613452196121,
0.00705040292814374,
-0.010971114970743656,
-0.07332419604063034,
0.04601677879691124,
-0.001662648399360478,
-0.010111309587955475,
0.019913090392947197,
-0.008679734542965889,
-0.04725489765405655,
0.007725350093096495,
0.012303813360631466,
-0.02159830741584301,
0.015906397253274918,
0.02183905430138111,
-0.007755443453788757,
-0.006508725695312023,
-0.007764041423797607,
0.03122812695801258,
0.00739002600312233,
0.023335114121437073,
0.03502846509218216,
-0.018090302124619484,
-0.02983524277806282,
0.03241465985774994,
0.009784583933651447,
-0.024745196104049683,
0.006044431123882532,
-0.0268087275326252,
0.01632770150899887,
0.034271836280822754,
-0.054924361407756805,
0.049249645322561264,
0.028751887381076813,
0.004148560576140881,
-0.009724397212266922,
0.02180466055870056,
-0.030798224732279778,
-0.07490623742341995
] |
Electrocardiography (ECG) signal generation has been heavily explored using
generative adversarial networks (GAN) because the implementation of 12-lead
ECGs is not always feasible. The GAN models have achieved remarkable results in
reproducing ECG signals but are only designed for multiple lead inputs and the
features the GAN model preserves have not been identified-limiting the
generated signals use in cardiovascular disease (CVD)-predictive models. This
paper presents ECGNet which is a procedure that generates a complete set of
12-lead ECG signals from any single lead input using a GAN framework with a
bidirectional long short-term memory (LSTM) generator and a convolutional
neural network (CNN) discriminator. Cross and auto-correlation analysis
performed on the generated signals identifies features conserved during the
signal generation-i.e., features that can characterize the unique-nature of
each signal and thus likely indicators of CVD. Finally, by using ECG signals
annotated with the CVD-indicative features detailed by the correlation analysis
as inputs for a CVD-onset-predictive CNN model, we overcome challenges
preventing the prediction of multiple-CVD targets. Our models are experimented
on 15s 12-lead ECG dataset recorded using MyoVista's wavECG. Functional outcome
data for each patient is recorded and used in the CVD-predictive model. Our
best GAN model achieves state-of-the-art accuracy with Frechet Distance (FD)
scores of 4.73, 4.89, 5.18, 4.77, 4.71, and 5.55 on the V1-V6 pre-cordial leads
respectively and shows strength in preserving the P-Q segments and R-peaks in
the generated signals. To the best of our knowledge, ECGNet is the first to
predict all of the remaining eleven leads from the input of any single lead. | [
0.005318497773259878,
0.015874695032835007,
-0.027509799227118492,
-0.011425977572798729,
-0.017813878133893013,
0.022870967164635658,
-0.0010551443556323647,
0.03237677365541458,
-0.04414495825767517,
0.01478152722120285,
0.004529516212642193,
-0.04376472532749176,
0.02714858017861843,
-0.02363143116235733,
0.03209159895777702,
0.017823385074734688,
-0.01477202121168375,
-0.024582011625170708,
0.019981201738119125,
-0.032871074974536896,
-0.020228352397680283,
-0.039125893265008926,
0.010427867993712425,
-0.06539993733167648,
0.025532592087984085,
0.05722494795918465,
0.05977250263094902,
0.009886037558317184,
-0.041559379547834396,
0.03332735225558281,
0.06479156762361526,
0.007618902716785669,
-0.04977239668369293,
-0.016102833673357964,
-0.04338449612259865,
-0.003854603972285986,
0.000056255055824294686,
0.06486761569976807,
-0.040152519941329956,
-0.011245367117226124,
0.01627393811941147,
-0.027262648567557335,
0.043574608862400055,
0.009838508442044258,
0.023422304540872574,
-0.027338694781064987,
-0.019619980826973915,
-0.029296891763806343,
0.013555278070271015,
0.029087763279676437,
-0.006492464803159237,
0.015599026344716549,
-0.0016147986752912402,
0.022072479128837585,
0.0023194164969027042,
0.031407181173563004,
0.03163531795144081,
0.04034263640642166,
0.11095175892114639,
0.04695867747068405,
0.0005819334764964879,
0.04802332818508148,
-0.08973480015993118,
-0.012367052026093006,
0.009396488778293133,
-0.06403110176324844,
-0.008674046956002712,
0.0071198479272425175,
0.01984812133014202,
-0.0072624352760612965,
-0.042890191078186035,
-0.03969624266028404,
-0.020969806239008904,
0.043232399970293045,
-0.04771914333105087,
-0.004710126202553511,
0.012557168491184711,
0.07703504711389542,
0.022870967164635658,
0.06680680066347122,
0.033156249672174454,
0.07121749222278595,
-0.029943285509943962,
0.029467996209859848,
0.046350304037332535,
-0.005532378330826759,
0.017024897038936615,
-0.07060912251472473,
-0.02395462803542614,
-0.02676834724843502,
-0.009182607755064964,
0.07209202647209167,
-0.04631228372454643,
0.010180717334151268,
0.020684631541371346,
-0.024886198341846466,
0.03962019458413124,
-0.012233970686793327,
-0.057110875844955444,
-0.028308287262916565,
0.0007331352098844945,
-0.008697811514139175,
-0.02572270855307579,
-0.011368942447006702,
0.017604751512408257,
-0.033935725688934326,
-0.03433496877551079,
0.01405908539891243,
0.011597082018852234,
0.12030547112226486,
-0.04212972894310951,
-0.007305211387574673,
0.006787145044654608,
-0.009073290973901749,
-0.05703483149409294,
-0.03555171191692352,
-0.03764298930764198,
-0.004938265774399042,
-0.0018773964839056134,
-0.014505858533084393,
0.0008881986723281443,
0.03574182838201523,
-0.024391895160079002,
0.050494834780693054,
-0.03884071856737137,
0.059202153235673904,
-0.024163756519556046,
-0.00824628584086895,
-0.006991519592702389,
0.08060922473669052,
-0.013137022964656353,
0.0019035374280065298,
0.024391895160079002,
0.013669347390532494,
0.06338471174240112,
0.020323410630226135,
-0.012243476696312428,
-0.012414581142365932,
0.013631324283778667,
-0.034962352365255356,
-0.0380992665886879,
-0.027661893516778946,
0.001908290316350758,
-0.03465816378593445,
0.019943179562687874,
0.001861949567683041,
0.035304561257362366,
0.09688316285610199,
0.002794706728309393,
-0.02743375301361084,
-0.08205410838127136,
0.06498168408870697,
0.006212043575942516,
-0.009425005875527859,
-0.012081878259778023,
-0.01166362315416336,
-0.007604644168168306,
-0.02922084555029869,
-0.011891761794686317,
-0.06536191701889038,
0.04927809536457062,
0.024410907179117203,
0.009867025539278984,
-0.011701646260917187,
0.012766296043992043,
0.03870764002203941,
0.024258814752101898,
-0.025095324963331223,
-0.07121749222278595,
0.03851752355694771,
0.027680903673171997,
0.004144531209021807,
0.03549467772245407,
0.003141668625175953,
-0.004241965711116791,
0.04768111929297447,
0.0415974035859108,
0.010998216457664967,
-0.043650656938552856,
0.038327407091856,
-0.0901910811662674,
-0.02600788325071335,
0.015332863666117191,
0.00464120926335454,
0.05273820832371712,
0.031141016632318497,
0.06771935522556305,
-0.0191256795078516,
0.011825221590697765,
0.031787410378456116,
0.01584617793560028,
-0.018555331975221634,
0.06825167685747147,
-0.051901694387197495,
0.010579961352050304,
-0.025095324963331223,
-0.0035931942984461784,
-0.005147393327206373,
-0.028574449941515923,
0.014657951891422272,
-0.030304506421089172,
-0.004919254221022129,
0.04201565682888031,
-0.011036239564418793,
0.00990504864603281,
0.07182586193084717,
0.03988635912537575,
0.019011609256267548,
-0.008997244760394096,
-0.0380992665886879,
-0.050913091748952866,
-0.008051416836678982,
-0.03589392080903053,
-0.023137129843235016,
0.008284308947622776,
-0.007376504596322775,
0.043650656938552856,
-0.006544746924191713,
0.0485556535422802,
0.013137022964656353,
0.009876531548798084,
0.05346064642071724,
0.04250996187329292,
-0.026159975677728653,
-0.003980556037276983,
-0.007438292261213064,
0.0021364297717809677,
-0.0025380500592291355,
-0.013973533175885677,
-0.017291059717535973,
-0.025551604107022285,
-0.002870753174647689,
0.03404979407787323,
-0.018450766801834106,
-0.01701539196074009,
-0.028707532212138176,
0.03610304743051529,
-0.00721965916454792,
-0.006753874476999044,
-0.043574608862400055,
-0.02574172057211399,
-0.026197999715805054,
-0.033840667456388474,
0.001135943690314889,
0.028346311300992966,
-0.0012856600806117058,
-0.014943125657737255,
0.11216849833726883,
0.03823234885931015,
0.005584660451859236,
-0.07114144414663315,
-0.03756694123148918,
-0.0065162293612957,
0.013811934739351273,
-0.07163574546575546,
-0.059924595057964325,
0.044677283614873886,
-0.019021116197109222,
0.025095324963331223,
-0.024448931217193604,
0.018194111064076424,
0.01699637994170189,
-0.08167387545108795,
-0.012908883392810822,
-0.009676910005509853,
-0.008778611198067665,
0.044981468468904495,
0.04897390678524971,
0.048479605466127396,
-0.013412690721452236,
0.029753169044852257,
-0.017642773687839508,
-0.030057355761528015,
-0.02572270855307579,
-0.014648445881903172,
-0.037357814610004425,
0.010893652215600014,
-0.03923996165394783,
0.04832751303911209,
0.016178879886865616,
0.012186442501842976,
0.010323304682970047,
0.04022856801748276,
0.012100890278816223,
-0.0365213043987751,
-0.03448706120252609,
-0.027699915692210197,
0.01128339022397995,
-0.04414495825767517,
0.01442030631005764,
0.05148344114422798,
-0.023859571665525436,
-0.02500026673078537,
0.020646609365940094,
0.0165305957198143,
0.009586604312062263,
-0.04897390678524971,
-0.024182768538594246,
0.04384077340364456,
-0.026844393461942673,
-0.021787304431200027,
-0.020361434668302536,
-0.012614203616976738,
0.05969645455479622,
-0.05840366706252098,
-0.04228182137012482,
0.00030864161089994013,
0.04228182137012482,
-0.0208177138119936,
0.015152253210544586,
0.019021116197109222,
-0.009078043513000011,
0.0064259241335093975,
-0.020342422649264336,
-0.01986713334918022,
-0.0012286253040656447,
0.008754846639931202,
-0.0025000267196446657,
0.04250996187329292,
-0.007671184837818146,
0.00991455465555191,
0.003937779925763607,
-0.03962019458413124,
0.015884200111031532,
-0.01944887638092041,
-0.032186657190322876,
0.0486697219312191,
0.003010963788256049,
-0.008512448519468307,
-0.029315903782844543,
0.001149014220573008,
0.019277771934866905,
0.000919092504773289,
-0.0009018632699735463,
-0.010456386022269726,
0.03344142064452171,
-0.02781398594379425,
-0.003067998681217432,
-0.030988924205303192,
0.010028623975813389,
0.0007224411820061505,
-0.03167334198951721,
-0.07015284150838852,
-0.0485936738550663,
-0.023707477375864983,
0.008569483645260334,
-0.05323250964283943,
0.04657844454050064,
-0.02568468451499939,
-0.03650229051709175,
0.0009820684790611267,
0.02403067611157894,
-0.043612632900476456,
-0.03444903716444969,
-0.0037690517492592335,
0.024049686267971992,
0.0007735348772257566,
-0.039430078119039536,
-0.00888792797923088,
-0.05072297528386116,
-0.03163531795144081,
-0.012129407376050949,
-0.008764352649450302,
0.04577995836734772,
-0.090495266020298,
-0.02363143116235733,
0.000742641044780612,
-0.011616094037890434,
0.022148525342345238,
-0.0006074803532101214,
-0.005261463113129139,
0.0226428285241127,
-0.03916391730308533,
-0.0060789622366428375,
-0.0008258168236352503,
0.006316607352346182,
-0.04410693421959877,
0.022034456953406334,
-0.019182715564966202,
0.05106518417596817,
-0.04144531115889549,
0.0364452563226223,
-0.02811817079782486,
0.002369321882724762,
0.014144637621939182,
0.03711066395044327,
0.012414581142365932,
-0.030342530459165573,
0.01627393811941147,
0.017367105931043625,
0.00028962999931536615,
-0.060685060918331146,
0.006777639035135508,
-0.024772128090262413,
0.0065685114823281765,
-0.003241479629650712,
0.04965832456946373,
0.07045702636241913,
0.08258643746376038,
-0.014496352523565292,
-0.027642881497740746,
0.0012666485272347927,
-0.005912610795348883,
0.05494355410337448,
-0.07319469749927521,
-0.009168349206447601,
-0.03519048914313316,
0.026121951639652252,
0.012319523841142654,
-0.029087763279676437,
0.01547545101493597,
-0.05038076639175415,
-0.03231973573565483,
-0.08616061508655548,
0.011606588028371334,
0.008764352649450302,
-0.0693163275718689,
-0.016235915943980217,
-0.0023764511570334435,
0.011464000679552555,
-0.05520971491932869,
0.029125787317752838,
0.07593236863613129,
0.02186335250735283,
-0.003160680178552866,
0.012785308063030243,
0.030285494402050972,
0.0067443689331412315,
-0.04136926308274269,
-0.005099864210933447,
-0.021616199985146523,
-0.006193032022565603,
0.03233874961733818,
-0.03904984891414642,
0.034601129591464996,
-0.014534375630319118,
-0.001821549842134118,
-0.01888803392648697,
-0.060647036880254745,
0.007599891163408756,
0.03619810566306114,
0.03323229402303696,
-0.04787123575806618,
-0.016768239438533783,
-0.04064682126045227,
-0.0011805021204054356,
-0.0031939505133777857,
0.01952492445707321,
-0.006829921156167984,
-0.03617909550666809,
-0.054030995815992355,
0.022680850699543953,
-0.04296623915433884,
0.03323229402303696,
-0.010313798673450947,
0.010912664234638214,
0.0015114230336621404,
-0.03709165006875992,
0.06821365654468536,
0.0065970285795629025,
-0.013327138498425484,
0.06425924599170685,
-0.019562946632504463,
-0.008963974192738533,
0.03726275637745857,
0.03304217755794525,
-0.03893577679991722,
-0.0485936738550663,
0.007100836373865604,
0.031844448298215866,
0.01784239523112774,
-0.007115094922482967,
-0.0060789622366428375,
0.009743450209498405,
0.020646609365940094,
0.016426030546426773,
-0.029601076617836952,
-0.056502506136894226,
0.033840667456388474,
0.023156141862273216,
0.009762462228536606,
0.03193950653076172,
-0.008179745636880398,
0.03712967410683632,
-0.004943018779158592,
0.024144744500517845,
0.004924007225781679,
-0.015817658975720406,
-0.03762397542595863,
-0.01094118133187294,
-0.003797569079324603,
0.007400269154459238,
-0.027737939730286598,
-0.022509746253490448,
-0.004683985374867916,
-0.011188332922756672,
0.00011978799739154056,
0.025513580068945885,
0.04315635561943054,
0.0017288683447986841,
0.048517629504203796,
-0.04030461236834526,
0.016017282381653786,
0.0165305957198143,
0.026236021891236305,
0.020741667598485947,
0.04353658854961395,
0.029334913939237595,
-0.006345124915242195,
0.01840323954820633,
-0.0026687546633183956,
0.03789013996720314,
0.006335618905723095,
-0.002989575732499361,
-0.018840504810214043,
0.03256688639521599,
-0.019021116197109222,
0.03169235587120056,
-0.0012345664435997605,
0.036312174052000046,
0.00010441532504046336,
0.008826140314340591,
-0.028422357514500618,
0.07365097850561142,
-0.060685060918331146,
0.04034263640642166,
-0.0031321628484874964,
0.0042277066968381405,
0.04376472532749176,
-0.007709207944571972,
-0.004885983653366566,
0.0022326759062707424,
0.0032462324015796185,
-0.036692406982183456,
-0.030760785564780235,
-0.027376718819141388,
-0.0226238165050745,
-0.010380338877439499,
-0.02184434048831463,
-0.037015605717897415,
0.0013129892759025097,
0.06847982108592987,
0.0010973263997584581,
-0.008089439943432808,
0.04270007461309433,
0.009600862860679626,
0.023517360910773277,
-0.03635019809007645,
-0.0029800699558109045,
0.01654960587620735,
0.003239103127270937,
0.0022588169667869806,
0.00970542710274458,
0.008355602622032166,
-0.03159729763865471,
-0.010161705315113068,
0.001935619511641562,
-0.054411228746175766,
-0.002200593939051032,
-0.032814040780067444,
0.055095646530389786,
-0.0029396701138466597,
-0.012880366295576096,
-0.019562946632504463,
-0.021407073363661766,
0.02290898934006691,
0.027737939730286598,
0.0555519238114357,
-0.033593516796827316,
-0.0007022413774393499,
0.013146528042852879,
-0.037376824766397476,
-0.06190180405974388,
0.005299486219882965,
0.03087485581636429,
-0.0013937887270003557,
0.0660843551158905,
0.00021967320935800672,
0.03256688639521599,
0.03330834209918976,
0.02224358357489109,
0.039468102157115936,
0.004265729803591967,
0.004845584277063608,
-0.05281425267457962,
-0.03448706120252609,
0.02154015377163887,
-0.05429716035723686,
-0.007333728484809399,
-0.02125498093664646,
0.016663676127791405,
0.033479444682598114,
-0.001848879037424922,
-0.029772181063890457,
-0.051217276602983475,
-0.04000042751431465,
0.012804319150745869,
0.024829162284731865,
0.02290898934006691,
-0.06300447881221771,
-0.0156465545296669,
0.054677389562129974,
0.03923996165394783,
0.048175420612096786,
-0.02117893286049366,
-0.026083929464221,
0.028213229030370712,
0.02357439696788788,
0.022167537361383438,
0.007994381710886955,
0.02988625131547451,
0.006321360357105732,
-0.0020615714602172375,
0.004249094985425472,
0.027300672605633736,
-0.030779797583818436,
0.03743385896086693,
-0.0055228727869689465,
-0.021064864471554756,
-0.025095324963331223,
0.050494834780693054,
-0.008845151402056217,
0.05342262610793114,
0.020627597346901894,
0.023422304540872574,
0.05007658153772354,
-0.02817520685493946,
-0.017024897038936615,
-0.03300415351986885,
-0.029810205101966858,
0.003921144641935825,
-0.009401241317391396,
-0.03256688639521599,
0.0007117471541278064,
-0.0012618956388905644,
0.016749229282140732,
-0.05969645455479622,
-0.011254873126745224,
-0.01683478057384491,
0.05235797539353371,
-0.03680647909641266,
0.034239910542964935,
-0.022034456953406334,
0.04539972543716431,
-0.0011864432599395514,
-0.015713095664978027,
-0.010560949333012104,
0.023802535608410835,
0.03538060560822487,
0.047414954751729965,
0.048517629504203796,
0.02813718281686306,
-0.0005403456161729991,
0.013916498981416225,
-0.006292842794209719,
-0.05133134871721268,
0.031198052689433098,
0.02121695689857006,
-0.009619874879717827,
-0.0312931090593338,
-0.011815715581178665,
-0.014448823407292366,
0.03513345494866371,
-0.0727764442563057,
0.012176936492323875,
-0.029125787317752838,
0.02011428400874138,
-0.019638992846012115,
-0.020741667598485947,
0.019658004865050316,
-0.032909099012613297,
-0.04102705419063568,
-0.029125787317752838,
0.016245421022176743,
0.02986723929643631,
-0.028555437922477722,
0.029943285509943962,
0.02847939170897007,
-0.0015375639777630568,
-0.00004919996717944741,
-0.048137396574020386,
0.0012464487226679921,
-0.017794867977499962,
0.015038183890283108,
0.0014496352523565292,
0.003909262362867594,
0.02123596891760826,
-0.005746259354054928,
-0.019401347264647484,
-0.0016338102286681533,
-0.011340425349771976,
-0.015703590586781502,
-0.009619874879717827,
0.008122710511088371,
0.021654224023222923,
0.011074262671172619,
-0.03338438645005226,
0.022433700039982796,
0.015142747201025486,
0.03815630078315735,
-0.0018227380933240056,
0.029410960152745247,
-0.012870860286056995,
0.016302455216646194,
-0.0330231674015522,
0.034848280251026154,
0.02429683692753315,
-0.0027804479468613863,
-0.02292800135910511,
0.005375532899051905,
0.0030988925136625767,
0.005850823130458593,
-0.03266194462776184,
0.03230072557926178,
-0.013678853400051594,
-0.011901267804205418,
0.02431584894657135,
0.030798807740211487,
-0.021007828414440155,
0.039772287011146545,
0.008279556408524513,
0.029962297528982162,
-0.013783417642116547,
-0.036331187933683395,
-0.006159761920571327,
0.054069019854068756,
0.012424087151885033,
-0.031026948243379593,
-0.030741773545742035,
0.016825275495648384,
0.05239599943161011,
0.028384333476424217,
-0.00844590738415718,
0.014857573434710503,
-0.0069630020298063755,
-0.02851741574704647,
-0.005950633902102709,
0.029296891763806343,
-0.01179670449346304,
-0.01025676354765892,
-0.004363164305686951,
-0.032414793968200684,
-0.014296730980277061,
-0.009296677075326443,
0.010817606002092361,
0.04250996187329292,
0.008436402305960655,
0.03853653371334076,
-0.019173208624124527,
-0.036597348749637604,
0.03688252344727516,
0.016407020390033722,
0.06969656050205231,
-0.00832708552479744,
-0.026293056085705757,
0.016426030546426773,
0.008978232741355896,
-0.0048479605466127396,
0.003160680178552866,
-0.031045960262417793,
0.032490842044353485,
0.0165115837007761,
-0.0346391536295414,
0.02053253911435604,
0.025228407233953476,
0.03304217755794525,
-0.024448931217193604,
-0.04041868448257446,
0.004531892482191324,
0.007428786717355251,
-0.009638885967433453,
0.03243380784988403,
0.060685060918331146,
-0.04562786594033241,
0.043650656938552856,
-0.019344313070178032,
0.04193961247801781,
-0.04539972543716431,
0.05114123225212097,
-0.030855843797326088,
-0.009981095790863037,
-0.03435397893190384,
-0.012519145384430885,
-0.0004767755453940481,
-0.02401166409254074,
-0.009339453652501106,
-0.03429694473743439,
-0.052928321063518524,
-0.031768400222063065,
0.016559112817049026,
0.0055086142383515835,
-0.003871239023283124,
0.028061136603355408,
0.03209159895777702,
0.014553387649357319,
0.009434511885046959,
0.014030568301677704,
0.0018310557352378964,
-0.08045713603496552,
-0.045361701399087906,
0.011901267804205418,
-0.05585611239075661,
0.001419929671101272,
-0.01213891338557005,
-0.003510018577799201,
-0.03511444479227066,
-0.032167643308639526,
0.02049451507627964,
-0.04034263640642166,
-0.01793745346367359,
-0.0007093707099556923,
0.012405076064169407,
0.02218654938042164,
-0.025475557893514633,
0.008464919403195381,
-0.028783578425645828,
-0.03996240347623825,
0.043270424008369446,
-0.039772287011146545,
-0.06422121822834015,
-0.02496224455535412,
-0.042890191078186035,
-0.027015497907996178,
-0.0020389952696859837,
-0.005655954126268625,
-0.038346417248249054,
0.02465805783867836,
-0.012737778946757317,
0.010684524662792683,
0.023194164037704468,
-0.0011591140646487474,
-0.0069154733791947365,
-0.03209159895777702,
-0.021749282255768776,
-0.04003845155239105,
0.026939451694488525,
0.01372638251632452,
0.009120820090174675,
0.031426191329956055,
-0.008830892853438854,
-0.011368942447006702,
0.030133401975035667,
-0.005865081679075956,
-0.026178987696766853,
-0.036293163895606995,
-0.002930164337158203,
-0.00291115278378129,
-0.044335074722766876,
-0.004700620658695698,
-0.008683552965521812,
0.013308127410709858,
0.01144498959183693,
-0.032186657190322876,
-0.026806369423866272,
0.007115094922482967,
-0.0027638128958642483,
0.059924595057964325,
0.01699637994170189,
0.004866972099989653,
-0.028232241049408913,
0.029258867725729942,
0.004004320595413446,
0.016929838806390762,
-0.013251092284917831,
0.02091277204453945,
-0.03511444479227066,
0.013621818274259567,
-0.027547823265194893,
-0.004612691700458527,
-0.08745341002941132,
-0.06349878013134003,
0.002298028441146016,
0.00011317848839098588,
0.038327407091856,
-0.012633214704692364,
-0.008845151402056217,
0.004845584277063608,
-0.01059897243976593,
-0.012129407376050949,
0.006644557695835829,
0.027376718819141388,
-0.0030180930625647306,
0.021331027150154114,
-0.028669508174061775,
0.052319951355457306,
-0.017186496406793594,
-0.02749078907072544,
0.004263353534042835,
-0.012167430482804775,
-0.052167858928442,
-0.00990504864603281,
0.013973533175885677,
0.020418468862771988,
-0.004268106538802385,
0.04479135200381279,
-0.004567539319396019,
-0.030000321567058563,
-0.02220556139945984,
0.013669347390532494,
0.0522058829665184,
0.011131297796964645,
0.0016623276751488447,
-0.01811806485056877,
-0.02566567435860634,
-0.008117957971990108,
-0.040798913687467575,
0.025228407233953476,
-0.022414688020944595,
0.02574172057211399,
-0.00555139034986496,
-0.030361540615558624,
-0.005812800023704767,
0.014990654774010181,
-0.01769980974495411,
0.05973447859287262,
0.017471669241786003,
0.04661646857857704,
0.016340479254722595,
0.026882417500019073,
-0.0029230350628495216,
0.0028660001698881388,
0.059506338089704514,
-0.010855629108846188,
-0.004184930585324764,
-0.02570369653403759,
-0.01826065219938755,
0.011530541814863682,
-0.0029277880676090717,
0.00022398053260985762,
0.03730078041553497,
0.019886143505573273,
0.04197763651609421,
0.0417114719748497,
0.024905208498239517,
0.04722483828663826,
0.010009612888097763,
-0.010494409129023552,
0.016568617895245552,
-0.033821653574705124,
0.02117893286049366,
-0.010009612888097763,
0.03726275637745857,
-0.01743364706635475,
0.03264293447136879,
0.03087485581636429,
-0.058213550597429276,
0.0692783072590828,
-0.056502506136894226,
0.04270007461309433,
-0.010513420216739178,
-0.01336516160517931,
-0.03201555088162422,
-0.026882417500019073,
0.018811987712979317,
-0.0027661891654133797,
0.034848280251026154,
-0.012291005812585354,
-0.05140739306807518,
0.013298621401190758,
0.007899324409663677,
-0.012310017831623554,
-0.004144531209021807,
-0.03258590027689934,
-0.008094193413853645,
0.009600862860679626,
0.030361540615558624,
0.019182715564966202,
-0.04547576978802681,
-0.03239578381180763,
-0.002366945380344987,
0.010808099992573261,
-0.013973533175885677,
-0.04000042751431465,
0.020418468862771988,
0.005237698554992676,
0.027718927711248398,
0.026483172550797462,
0.0027828244492411613,
-0.019600970670580864,
-0.008550471626222134,
0.03334636241197586,
0.0051901694387197495,
0.026825381442904472,
-0.013146528042852879,
0.007866053842008114,
-0.03992438316345215,
-0.02323218807578087,
-0.02638811431825161,
-0.07505783438682556,
0.008906939066946507,
-0.02015230618417263,
0.023213176056742668,
0.02296602539718151,
-0.011882256716489792,
-0.045703910291194916,
0.02401166409254074,
-0.002618849277496338,
-0.03060869313776493,
0.02813718281686306,
0.0029349173419177532,
-0.004909748211503029,
0.000704617821611464,
0.028251253068447113,
0.0364832803606987,
-0.04688262939453125,
0.04019054397940636,
0.012414581142365932,
0.03060869313776493,
-0.02885962463915348,
-0.015998270362615585,
0.015656061470508575,
-0.05657855048775673,
-0.002168511739000678,
-0.0077995131723582745,
-0.01593172922730446,
0.017024897038936615,
-0.04969634860754013,
0.015561003237962723,
0.011131297796964645,
-0.013545772060751915,
0.04650240018963814,
-0.012395570054650307,
-0.011958302929997444,
-0.036331187933683395
] |
Myoelectric control is an area of electromyography of increasing interest
nowadays, particularly in applications such as Hand Gesture Recognition (HGR)
for bionic prostheses. Today's focus is on pattern recognition using Machine
Learning and, more recently, Deep Learning methods. Despite achieving good
results on sparse sEMG signals, the latter models typically require large
datasets and training times. Furthermore, due to the nature of stochastic sEMG
signals, traditional models fail to generalize samples for atypical or noisy
values. In this paper, we propose the design of a Vision Transformer (ViT)
based architecture with a Fuzzy Neural Block (FNB) called EMGTFNet to perform
Hand Gesture Recognition from surface electromyography (sEMG) signals. The
proposed EMGTFNet architecture can accurately classify a variety of hand
gestures without any need for data augmentation techniques, transfer learning
or a significant increase in the number of parameters in the network. The
accuracy of the proposed model is tested using the publicly available NinaPro
database consisting of 49 different hand gestures. Experiments yield an average
test accuracy of 83.57\% \& 3.5\% using a 200 ms window size and only 56,793
trainable parameters. Our results outperform the ViT without FNB, thus
demonstrating that including FNB improves its performance. Our proposal
framework EMGTFNet reported the significant potential for its practical
application for prosthetic control. | [
0.016955602914094925,
0.06099344789981842,
-0.025392970070242882,
-0.05082188546657562,
0.06505488604307175,
0.025536738336086273,
0.0001224973821081221,
0.0219245757907629,
-0.036157578229904175,
0.0453946515917778,
0.0402190163731575,
-0.012444891966879368,
0.003210063325241208,
-0.016326619312167168,
-0.007633166387677193,
0.017135312780737877,
-0.005036362446844578,
-0.041512925177812576,
-0.061496634036302567,
-0.05739925801753998,
-0.0038053514435887337,
-0.03802655637264252,
-0.04442422091960907,
-0.10387216508388519,
0.014044308103621006,
0.0219245757907629,
0.04154886677861214,
0.010405187495052814,
-0.04032684117555618,
0.04363349825143814,
0.0278729647397995,
0.020289218053221703,
-0.02278718166053295,
-0.0054002744145691395,
-0.014870972372591496,
-0.047551169991493225,
0.017944006249308586,
0.042303647845983505,
-0.019660234451293945,
-0.004007524810731411,
0.0400393046438694,
-0.007534326519817114,
-0.003928901627659798,
-0.005463172681629658,
0.0008311570272780955,
-0.009821130894124508,
-0.0182045865803957,
-0.03691235929727554,
0.022032400593161583,
0.0014994522789493203,
0.03759525343775749,
-0.010665766894817352,
0.017153283581137657,
0.02781905047595501,
0.0012781847035512328,
0.014673291705548763,
0.07418413460254669,
0.029077017679810524,
0.05653664842247963,
0.03137730062007904,
0.010665766894817352,
0.005269984714686871,
-0.07770644128322601,
0.0040839011780917645,
0.018887482583522797,
-0.05049840733408928,
0.027226008474826813,
-0.029041076079010963,
0.03033498488366604,
0.032707154750823975,
-0.05815403535962105,
-0.026345431804656982,
-0.02012747898697853,
-0.005961867049336433,
0.001680285087786615,
0.011636198498308659,
0.015535897575318813,
0.06548619270324707,
0.02715412527322769,
-0.003297671675682068,
0.04967174306511879,
0.10761012881994247,
-0.0049285367131233215,
0.011986632831394672,
0.04952797293663025,
0.002135175047442317,
0.006190996617078781,
-0.06023866683244705,
-0.031862515956163406,
0.01045011542737484,
-0.07540616393089294,
0.037092067301273346,
-0.03691235929727554,
0.002192457439377904,
0.0015230390708893538,
0.009758233092725277,
0.058765050023794174,
-0.004191727377474308,
-0.06372503191232681,
-0.015472998842597008,
0.014170104637742043,
-0.0018116977298632264,
-0.0019509727135300636,
-0.024961667135357857,
0.008706931956112385,
-0.031053824350237846,
-0.018087774515151978,
0.02950832061469555,
0.03373149782419205,
0.11558923125267029,
-0.00657287985086441,
-0.00739055871963501,
0.046508852392435074,
0.007120993919670582,
-0.041405100375413895,
-0.006514474283903837,
-0.03842191770672798,
-0.06444387137889862,
0.03777496516704559,
0.01579647697508335,
0.02178080752491951,
0.06710357964038849,
-0.020235303789377213,
0.059376060962677,
-0.05240332707762718,
0.04370538145303726,
0.0076196882873773575,
-0.020235303789377213,
0.058908816426992416,
0.046544793993234634,
0.005301434081047773,
0.06196388229727745,
0.06947574019432068,
-0.009740262292325497,
0.029005134478211403,
-0.010665766894817352,
-0.021259648725390434,
0.018546033650636673,
0.00033892111969180405,
-0.0061011421494185925,
0.028951222077012062,
0.012103443965315819,
-0.048270005732774734,
0.00021677474433090538,
-0.012966049835085869,
-0.030874114483594894,
-0.015248361974954605,
0.0856136679649353,
0.020307188853621483,
-0.05283463001251221,
-0.08467917889356613,
0.0031314403750002384,
-0.01181590836495161,
-0.005517085548490286,
0.05808215215802193,
-0.021385446190834045,
-0.006298822350800037,
0.018905453383922577,
0.020397042855620384,
-0.0332283116877079,
0.019408639520406723,
-0.02343413606286049,
-0.020594723522663116,
0.04697609692811966,
0.013855612836778164,
0.037954673171043396,
0.029813827946782112,
0.02082834579050541,
-0.04438827931880951,
0.04449610412120819,
-0.0769876092672348,
-0.0208822600543499,
0.05258303880691528,
0.00205879844725132,
-0.04643696919083595,
0.029921652749180794,
0.05243926867842674,
-0.010432143695652485,
-0.027477603405714035,
-0.04783870279788971,
-0.04025495797395706,
-0.003940133843570948,
0.016003143042325974,
0.010288376361131668,
0.05394883081316948,
0.08640439063310623,
0.07224327325820923,
-0.002037457888945937,
0.07342935353517532,
-0.042950600385665894,
0.031215563416481018,
-0.0033268744591623545,
0.04266306757926941,
-0.034540191292762756,
0.02347007766366005,
-0.032779037952423096,
-0.0165242999792099,
-0.001114199752919376,
-0.0013388367369771004,
0.01735096424818039,
-0.06383286416530609,
-0.03752337023615837,
0.024099061265587807,
-0.022948920726776123,
0.02347007766366005,
0.008895626291632652,
-0.007422007620334625,
-0.040578436106443405,
-0.006950269918888807,
-0.06620502471923828,
0.03153904154896736,
-0.001195069053210318,
-0.03380338102579117,
-0.04025495797395706,
-0.006433604750782251,
-0.04104568064212799,
0.03773902356624603,
-0.03644511476159096,
0.011770980432629585,
0.015032710507512093,
-0.00699969008564949,
0.0607418566942215,
0.05146883800625801,
-0.03560047969222069,
-0.03047875314950943,
0.010153594426810741,
-0.04690421372652054,
-0.008626062422990799,
-0.006038243416696787,
0.02354196086525917,
-0.044963348656892776,
0.03770308196544647,
0.04596972465515137,
-0.007794905453920364,
0.005072304513305426,
-0.024170946329832077,
0.027297893539071083,
-0.05150477960705757,
-0.017701398581266403,
0.04014713317155838,
0.01922892965376377,
-0.022319937124848366,
0.028196441009640694,
0.054523903876543045,
0.015131550841033459,
0.017054444178938866,
-0.02690253220498562,
0.07842528074979782,
-0.02523123286664486,
-0.02278718166053295,
-0.0383140929043293,
0.018725743517279625,
0.04079408571124077,
0.011905763298273087,
-0.025069493800401688,
0.014619378373026848,
0.03155701234936714,
-0.03827815130352974,
-0.0022441239561885595,
-0.06976328045129776,
0.032707154750823975,
0.004225422628223896,
-0.00869345385581255,
0.03407294675707817,
0.02526717446744442,
0.01659618504345417,
0.056967951357364655,
0.0315030999481678,
0.020397042855620384,
-0.07741890847682953,
-0.024602249264717102,
-0.03498946502804756,
-0.011303735896945,
-0.0034212220925837755,
0.003744699526578188,
-0.02882542461156845,
-0.0015410101041197777,
-0.000780052097979933,
0.05071405693888664,
-0.031934402883052826,
0.0024889784399420023,
0.02012747898697853,
0.0235599335283041,
0.040578436106443405,
-0.0006171902641654015,
-0.02877151221036911,
-0.014601407572627068,
0.019390668720006943,
-0.0783533975481987,
-0.005364332348108292,
-0.006128098350018263,
-0.009821130894124508,
-0.035330913960933685,
-0.02710021287202835,
0.035223089158535004,
-0.0745435580611229,
-0.015176478773355484,
0.012355037033557892,
0.020199362188577652,
-0.05110941827297211,
-0.020450955256819725,
-0.03419874235987663,
-0.00766012305393815,
0.01516749244183302,
-0.04370538145303726,
-0.0007340015145018697,
0.04855754226446152,
0.05207985267043114,
-0.0039603509940207005,
-0.04999522119760513,
0.05995113402605057,
0.0099648991599679,
-0.02512340620160103,
0.013199672102928162,
-0.0018790888134390116,
0.020289218053221703,
-0.005207086447626352,
0.028268324211239815,
-0.017018502578139305,
-0.03369555622339249,
-0.03639119863510132,
-0.003228034358471632,
-0.04180046170949936,
0.04622131586074829,
-0.0053104194812476635,
-0.01434082817286253,
0.030209189280867577,
0.003450424876064062,
0.03463004529476166,
-0.057830560952425,
0.00282593397423625,
-0.013280541636049747,
-0.016416475176811218,
-0.030802231281995773,
0.0064470828510820866,
0.04967174306511879,
-0.04284277558326721,
0.004299553111195564,
-0.03755931183695793,
0.0020003928802907467,
-0.014673291705548763,
-0.04719175025820732,
-0.010432143695652485,
-0.03457613289356232,
0.010989244095981121,
-0.02708224207162857,
0.011681126430630684,
0.030065421015024185,
-0.022176168859004974,
-0.07084153592586517,
0.0010664643486961722,
-0.029005134478211403,
0.00249571749009192,
-0.0691882073879242,
-0.026399344205856323,
-0.03852974623441696,
0.020235303789377213,
-0.025662535801529884,
-0.014098220504820347,
0.01263358723372221,
-0.0072378055192530155,
0.008536207489669323,
-0.008325048722326756,
0.07102124392986298,
-0.06023866683244705,
-0.02533905766904354,
-0.037056125700473785,
-0.05028275400400162,
0.04945608973503113,
0.009246060624718666,
-0.00015949229418765754,
-0.027531515806913376,
0.010162579827010632,
-0.032653238624334335,
-0.008738380856812,
0.01996573992073536,
0.006460561417043209,
0.012238225899636745,
0.008608091622591019,
0.05941200256347656,
-0.02185269072651863,
-0.014143148437142372,
-0.048270005732774734,
-0.016263721510767937,
0.024099061265587807,
0.05603346228599548,
0.02967005968093872,
-0.05197202414274216,
-0.03950017690658569,
0.06167634576559067,
0.03146715462207794,
-0.04007524624466896,
-0.014161119237542152,
-0.04068626090884209,
0.031952373683452606,
0.0041782488115131855,
-0.02010950818657875,
0.061352867633104324,
0.03820626810193062,
-0.015913287177681923,
-0.009946928359568119,
0.0015275318874046206,
-0.009299973025918007,
-0.025015581399202347,
-0.010917359963059425,
-0.016748936846852303,
-0.06846936792135239,
0.019480524584650993,
0.04622131586074829,
-0.026740793138742447,
0.02183471992611885,
-0.015967201441526413,
0.006685198284685612,
-0.0505702905356884,
-0.023865438997745514,
-0.017620529979467392,
-0.03910481557250023,
0.0015567346708849072,
0.03308454155921936,
-0.08647627383470535,
-0.008352004922926426,
0.031143678352236748,
0.04586189612746239,
-0.0012265181867405772,
-0.0030775275081396103,
0.042087994515895844,
0.026632966473698616,
-0.002286805072799325,
-0.005741722881793976,
0.011249822564423084,
-0.018617918714880943,
-0.025968041270971298,
0.023362252861261368,
-0.07080559432506561,
0.016039084643125534,
-0.03824220970273018,
0.046616677194833755,
0.009470697492361069,
-0.016829807311296463,
-0.0013523149536922574,
-0.031952373683452606,
0.059771422296762466,
0.015086623840034008,
-0.02273326925933361,
-0.06606125831604004,
0.03737960383296013,
-0.006797516718506813,
-0.042267706245183945,
0.018060818314552307,
-0.012211269699037075,
-0.0020689070224761963,
0.017063429579138756,
-0.059376060962677,
-0.013630975969135761,
-0.008131860755383968,
-0.016766909509897232,
0.05818997696042061,
-0.035995837301015854,
0.0315030999481678,
-0.05085782706737518,
-0.027190066874027252,
0.05136101320385933,
0.058621279895305634,
-0.05488331988453865,
0.07720325887203217,
0.0032010776922106743,
0.0017263356130570173,
-0.033605702221393585,
-0.014906913973391056,
0.03455816209316254,
0.021187765523791313,
-0.022859064862132072,
0.012480833567678928,
-0.00020540249533951283,
0.039679884910583496,
-0.027387747541069984,
-0.015194449573755264,
-0.016712995246052742,
-0.01825849898159504,
0.016847778111696243,
0.07098530232906342,
-0.03669670596718788,
0.005301434081047773,
0.021439358592033386,
-0.010719679296016693,
-0.012355037033557892,
0.033497873693704605,
0.0030370927415788174,
0.02535702846944332,
-0.03383932262659073,
0.00920113269239664,
-0.019857915118336678,
-0.05926823616027832,
0.0054901293478906155,
-0.002518181223422289,
-0.06088562309741974,
-0.03561845049262047,
0.021061968058347702,
0.06861313432455063,
-0.0013725323369726539,
0.023901380598545074,
-0.008131860755383968,
-0.007372587453573942,
0.03241961821913719,
-0.0016836546128615737,
0.055242739617824554,
0.0036481055431067944,
0.005755200982093811,
-0.026812676340341568,
0.05172043293714523,
0.017836181446909904,
0.009668378159403801,
-0.0026776734739542007,
-0.05326593294739723,
-0.016308648511767387,
0.03484569862484932,
0.028897307813167572,
0.0009462835150770843,
-0.0018790888134390116,
0.02185269072651863,
0.002143037272617221,
0.015068653039634228,
0.013828655704855919,
0.022068342193961143,
-0.020450955256819725,
0.04075814411044121,
0.00432201661169529,
-0.011447503231465816,
0.003980568144470453,
0.007354616653174162,
-0.057758674025535583,
-0.02350601926445961,
-0.02952629327774048,
0.006595343351364136,
0.02077443338930607,
-0.0024215872399508953,
0.012040545232594013,
-0.008024035021662712,
-0.011986632831394672,
-0.052618980407714844,
0.0002465391589794308,
0.007323167286813259,
-0.012031559832394123,
-0.03684047609567642,
-0.020199362188577652,
-0.00435121962800622,
-0.00456462474539876,
-0.02426080033183098,
0.010099681094288826,
-0.004771290812641382,
-0.010270405560731888,
0.010998229496181011,
-0.03687641769647598,
0.023721670731902122,
-0.02965208888053894,
-0.016398504376411438,
-0.016964588314294815,
-0.021529214456677437,
-0.020540811121463776,
0.015347202308475971,
-0.028178470209240913,
-0.008904612623155117,
-0.02697441540658474,
-0.019732117652893066,
0.022373849526047707,
0.006420126650482416,
-0.0015612273709848523,
0.03633728623390198,
-0.021493270993232727,
0.019606320187449455,
-0.0028596294578164816,
-0.03932046890258789,
-0.013271556235849857,
-0.01044113002717495,
0.023362252861261368,
0.04683233052492142,
0.07019457966089249,
-0.025015581399202347,
-0.003982814494520426,
0.02967005968093872,
0.002763035474345088,
0.04115350544452667,
0.028034701943397522,
0.04647291079163551,
0.07073371112346649,
0.002697890857234597,
-0.017270095646381378,
-0.05380506440997124,
-0.020666606724262238,
0.006451575551182032,
0.04686827212572098,
0.010072724893689156,
-0.007970121689140797,
-0.006878386251628399,
-0.05085782706737518,
-0.03135932981967926,
0.004122089594602585,
0.03604975342750549,
0.08331338316202164,
-0.05826186388731003,
0.020594723522663116,
0.0434897318482399,
0.033479902893304825,
0.013846627436578274,
0.010180550627410412,
-0.0072827329859137535,
-0.009803160093724728,
-0.016838792711496353,
-0.008967510424554348,
-0.027549486607313156,
-0.016398504376411438,
-0.004034481011331081,
0.05423636734485626,
0.029364554211497307,
0.04460392892360687,
0.005975345149636269,
-0.0037379602435976267,
0.005189115647226572,
0.010414172895252705,
-0.015472998842597008,
0.04090191051363945,
-0.015985172241926193,
0.03385729342699051,
-0.02343413606286049,
-0.0032527444418519735,
-0.0007306319894269109,
0.010548955760896206,
-0.030963970348238945,
-0.018474150449037552,
0.00522505771368742,
-0.00865301862359047,
0.014268944971263409,
-0.013765757903456688,
-0.0165692288428545,
0.04025495797395706,
0.03545670956373215,
-0.009479682892560959,
-0.012759383767843246,
-0.01300199143588543,
0.027261951938271523,
-0.006285344250500202,
0.0022261531557887793,
-0.05240332707762718,
0.017629515379667282,
-0.00025847298093140125,
-0.02429674193263054,
-0.009821130894124508,
0.026345431804656982,
0.06983516365289688,
0.03845785930752754,
0.03885322064161301,
-0.022301964461803436,
-0.0166590828448534,
0.014125176705420017,
-0.030766289681196213,
-0.044891465455293655,
0.009317944757640362,
0.013019963167607784,
-0.003286439925432205,
-0.009704319760203362,
0.013586048036813736,
-0.006402155384421349,
0.01568865031003952,
-0.016829807311296463,
0.005126217380166054,
-0.013909525237977505,
-0.0216550100594759,
-0.015446042641997337,
0.005054333247244358,
0.049276381731033325,
-0.010683737695217133,
-0.05071405693888664,
-0.017755310982465744,
0.010557941161096096,
-0.0347738154232502,
-0.03935641050338745,
0.07411225140094757,
0.02965208888053894,
-0.012364022433757782,
-0.04704798012971878,
-0.017701398581266403,
-0.002290174597874284,
-0.013289527036249638,
0.0038345542270690203,
0.019768059253692627,
-0.003124701324850321,
-0.011717068031430244,
0.0065773725509643555,
-0.04942014813423157,
0.03317439928650856,
-0.005647375248372555,
-0.022301964461803436,
0.013298512436449528,
-0.015446042641997337,
0.055314622819423676,
0.036948300898075104,
-0.011384605430066586,
-0.011097069829702377,
0.05908852815628052,
0.014610392972826958,
-0.026794705539941788,
0.0033111500088125467,
-0.04356161504983902,
-0.016272706910967827,
0.03394715115427971,
0.00674809655174613,
0.0035515115596354008,
-0.02091820165514946,
-0.017054444178938866,
-0.018132701516151428,
0.010656781494617462,
0.016048070043325424,
0.013433295302093029,
0.007700557820498943,
-0.00014131073839962482,
0.010135623626410961,
-0.016039084643125534,
0.024027178063988686,
-0.04280683398246765,
0.01083649042993784,
-0.013559091836214066,
0.0419442281126976,
-0.006137083750218153,
-0.023164572194218636,
-0.052726805210113525,
0.050210870802402496,
0.035402797162532806,
0.009187654592096806,
0.018528062850236893,
0.00673911115154624,
0.04453204572200775,
0.012022574432194233,
-0.017988933250308037,
0.0035717289429157972,
0.014655319973826408,
-0.037810906767845154,
0.01657821424305439,
0.05168449133634567,
-0.022086312994360924,
-0.01217532716691494,
0.004400639794766903,
0.02163703925907612,
0.028196441009640694,
-0.013532135635614395,
-0.009803160093724728,
-0.017970962449908257,
0.015481985174119473,
0.039751771837472916,
-0.01562575250864029,
-0.03567236289381981,
0.05836968868970871,
-0.04435233771800995,
0.07986295968294144,
-0.031682807952165604,
-0.008909105323255062,
-0.04122538864612579,
0.025824274867773056,
-0.01824951358139515,
-0.00025763059966266155,
-0.020253274589776993,
-0.021313562989234924,
0.02704629860818386,
-0.025968041270971298,
0.022122256457805634,
0.03058657981455326,
0.017207197844982147,
-0.01215735636651516,
0.046544793993234634,
0.007264761719852686,
-0.03766714036464691,
0.012076486833393574,
0.03570830449461937,
0.09229886531829834,
-0.06261083483695984,
-0.012750398367643356,
0.023182542994618416,
-0.014448653906583786,
-0.009452726691961288,
-0.024099061265587807,
-0.006945777218788862,
-0.03716395050287247,
0.004310784861445427,
-0.00913823489099741,
0.01926487311720848,
-0.028322238475084305,
-0.013568077236413956,
-0.002428326290100813,
-0.02598601207137108,
-0.024763986468315125,
0.0038323078770190477,
0.006995197385549545,
-0.0025114421732723713,
0.029993537813425064,
0.056932009756565094,
0.051864199340343475,
-0.012211269699037075,
-0.029436437413096428,
0.01731502264738083,
-0.017728354781866074,
-0.008455337956547737,
0.013343440368771553,
0.007112008519470692,
-0.00783533975481987,
0.04586189612746239,
-0.005975345149636269,
-0.002187964739277959,
-0.040506549179553986,
-0.018105745315551758,
-0.03162889555096626,
0.011950690299272537,
-0.04600566625595093,
-0.034683957695961,
0.04032684117555618,
0.02693847380578518,
0.026704851537942886,
-0.026776734739542007,
-0.019893856719136238,
-0.0029157886747270823,
0.003383033908903599,
0.02260747179389,
0.00018378117238171399,
-0.045682188123464584,
-0.017216183245182037,
-0.018599946051836014,
-0.025896158069372177,
-0.048413775861263275,
0.025644565001130104,
0.01177996676415205,
0.031934402883052826,
-0.018528062850236893,
0.035169173032045364,
-0.026417315006256104,
-0.0063931699842214584,
-0.04370538145303726,
-0.032563384622335434,
0.053697239607572556,
0.0024373119231313467,
-0.01845617964863777,
-0.01047707162797451,
0.04553842172026634,
-0.04586189612746239,
0.029436437413096428,
-0.037918731570243835,
0.005139695480465889,
-0.03766714036464691,
-0.031898461282253265,
0.03572627529501915,
-0.018977336585521698,
-0.021295592188835144,
0.00034706422593444586,
0.03917669877409935,
0.024206887930631638,
0.041441041976213455,
-0.01567067950963974,
-0.012822282500565052,
0.001546625979244709,
0.03321034088730812,
0.029005134478211403,
0.010998229496181011,
-0.0016645604046061635,
-0.03752337023615837,
-0.04377726465463638,
0.008675482124090195,
0.022176168859004974,
0.0012984020868316293,
-0.057291429489851,
-0.017126327380537987,
0.012480833567678928,
-0.003342599142342806,
-0.07892847061157227,
-0.03037092834711075,
-0.018087774515151978,
0.013028948567807674,
0.006523459684103727,
0.00913823489099741,
0.014062278904020786,
-0.05851345509290695,
0.018132701516151428,
0.0021284359972923994,
0.0305506382137537,
0.003794119693338871,
0.017629515379667282,
0.03560047969222069,
-0.02016342058777809,
0.03164686635136604,
0.02542891353368759,
0.03229382261633873,
-0.03574424609541893,
0.005269984714686871,
-0.006294329650700092,
-0.012930108234286308,
0.040614377707242966,
0.010620838962495327,
-0.042950600385665894,
0.054559845477342606,
-0.012480833567678928,
-0.00631230091676116,
0.023002833127975464,
0.010324317961931229,
-0.017144298180937767,
0.0027001372072845697,
-0.03737960383296013,
-0.017117341980338097,
-0.009124756790697575,
-0.00833852682262659,
0.004043466877192259,
0.020738491788506508,
-0.009866058826446533,
0.04463987424969673,
-0.013289527036249638,
-0.010333303362131119,
0.017988933250308037,
0.0018060817383229733,
-0.01529328990727663,
-0.015508941374719143,
0.02081037499010563,
-0.0049734641797840595,
0.004499479662626982,
0.041405100375413895,
-0.014870972372591496,
0.010099681094288826,
0.03252744302153587,
-0.02950832061469555,
0.0074804131872951984,
-0.008405918255448341,
-0.031718749552965164,
-0.010809534229338169,
0.021511243656277657,
-0.007300703786313534,
-0.0021812256891280413,
-0.024009207263588905,
0.021403416991233826,
0.05495520681142807,
0.004654479678720236,
0.05251115560531616,
-0.0006362844142131507,
0.001217532786540687,
-0.0035065840929746628,
-0.016389518976211548,
0.035366855561733246,
0.021367475390434265,
0.006474039517343044,
0.03906887397170067,
0.011878807097673416,
0.007979108020663261,
-0.05686012655496597,
0.025662535801529884,
-0.001489343587309122,
0.028448034077882767,
0.022373849526047707,
-0.020612694323062897,
0.011258807964622974,
0.07023052126169205,
-0.012786339968442917,
-0.01300199143588543,
-0.011699097231030464,
-0.01996573992073536,
-0.05750708281993866,
-0.0014736190205439925,
0.011375620029866695,
-0.008230701088905334,
0.0009412291692569852,
-0.019426610320806503,
-0.005557520315051079,
-0.03146715462207794,
0.0050138989463448524,
-0.004492740612477064,
-0.035294972360134125,
-0.015212420374155045,
0.011735038831830025,
-0.009187654592096806,
0.007493891753256321,
-0.024799929931759834,
0.0313233882188797,
-0.0017106110462918878,
-0.004041220527142286,
-0.024746015667915344,
-0.017674442380666733,
-0.0024103554897010326,
0.009668378159403801,
0.015329231508076191,
-0.02185269072651863,
0.0536612942814827,
0.007534326519817114,
0.0006958132144063711,
-0.006905342452228069,
0.026489200070500374,
-0.018114730715751648,
-0.08568555116653442,
0.02009153738617897,
0.016021113842725754,
0.004977956879884005,
0.004488247912377119,
-0.00632128631696105,
0.013343440368771553,
-0.0016061548376455903,
-0.020271247252821922,
-0.009821130894124508,
0.01926487311720848,
-0.0030550637748092413,
-0.008006064221262932,
-0.018923424184322357,
-0.034360483288764954,
0.002367674373090267,
-0.032725125551223755,
0.059627655893564224,
0.014529523439705372,
0.007305196486413479,
0.0014646335039287806,
0.01648835837841034,
0.007062588352710009,
-0.02794484794139862,
-0.023110657930374146,
0.010144609026610851,
-0.013352425768971443,
-0.007736499421298504,
-0.04334596171975136,
0.014655319973826408,
-0.013675902970135212,
0.019678205251693726,
0.015095609240233898,
-0.006128098350018263,
-0.02267935499548912,
-0.06911632418632507
] |
A Content-based Time Series Retrieval (CTSR) system is an information
retrieval system for users to interact with time series emerged from multiple
domains, such as finance, healthcare, and manufacturing. For example, users
seeking to learn more about the source of a time series can submit the time
series as a query to the CTSR system and retrieve a list of relevant time
series with associated metadata. By analyzing the retrieved metadata, users can
gather more information about the source of the time series. Because the CTSR
system is required to work with time series data from diverse domains, it needs
a high-capacity model to effectively measure the similarity between different
time series. On top of that, the model within the CTSR system has to compute
the similarity scores in an efficient manner as the users interact with the
system in real-time. In this paper, we propose an effective and efficient CTSR
model that outperforms alternative models, while still providing reasonable
inference runtimes. To demonstrate the capability of the proposed method in
solving business problems, we compare it against alternative models using our
in-house transaction data. Our findings reveal that the proposed model is the
most suitable solution compared to others for our transaction data problem. | [
0.017034024000167847,
-0.0017331974813714623,
-0.03054109588265419,
-0.009510179050266743,
-0.0022055574227124453,
-0.02391352318227291,
-0.04732319712638855,
0.02447550930082798,
-0.07104293256998062,
-0.002984345657750964,
0.05604368448257446,
-0.025676999241113663,
0.041897110641002655,
-0.08728241920471191,
0.003965400625020266,
0.0410444438457489,
-0.01592942886054516,
-0.009660365991294384,
0.02484370954334736,
-0.004498319700360298,
0.0036117364652454853,
0.04399003088474274,
0.01152073685079813,
0.024029796943068504,
0.005755523685365915,
0.03463003784418106,
-0.029533395543694496,
-0.0021764892153441906,
-0.09363868832588196,
0.024417374283075333,
0.022091910243034363,
0.04856344312429428,
-0.004023537505418062,
-0.04542406648397446,
-0.06798107177019119,
-0.05608244240283966,
0.030812399461865425,
0.08914279192686081,
-0.01411750540137291,
-0.004832605365663767,
0.02215004526078701,
0.004970679525285959,
-0.018690917640924454,
-0.004088941030204296,
0.013923716731369495,
-0.008008317090570927,
-0.0713917464017868,
-0.012179618701338768,
0.01534806378185749,
0.006021982990205288,
0.03269214928150177,
-0.051005180925130844,
0.03230457380414009,
0.008802850730717182,
0.0023702778853476048,
0.024708056822419167,
0.05681883916258812,
0.026645943522453308,
0.043486177921295166,
0.02447550930082798,
0.005789436865597963,
-0.00024072187079582363,
-0.00992198009043932,
-0.025405695661902428,
0.04782704636454582,
-0.04139326140284538,
0.004379624035209417,
0.007451174780726433,
-0.0008684155181981623,
-0.05767150968313217,
-0.06410529464483261,
0.00785813108086586,
0.07460863888263702,
0.0012911170488223433,
0.0038249040953814983,
0.014592287130653858,
0.05123772844672203,
0.04538530856370926,
-0.0025991906877607107,
-0.021336132660508156,
0.04139326140284538,
0.07402727752923965,
-0.000884160865098238,
0.04929983988404274,
0.018797501921653748,
-0.04519151896238327,
-0.04360245168209076,
-0.07441484928131104,
0.01748942770063877,
0.009321235120296478,
-0.021898120641708374,
-0.027905570343136787,
-0.00473571103066206,
-0.022983336821198463,
-0.023351535201072693,
0.02515377104282379,
0.02034781128168106,
0.02354532480239868,
-0.045269034802913666,
0.03503699228167534,
0.033118486404418945,
-0.014611666090786457,
0.006055896170437336,
-0.04015301540493965,
0.0196598619222641,
-0.030231034383177757,
-0.011452910490334034,
0.019921476021409035,
-0.014669802971184254,
0.09201086312532425,
-0.04565661400556564,
-0.023719733580946922,
-0.017915762960910797,
-0.03521140292286873,
-0.05263300612568855,
-0.023991039022803307,
-0.03451376408338547,
-0.09433633089065552,
0.020250916481018066,
-0.06538429856300354,
-0.06022952124476433,
0.04015301540493965,
-0.0007830273825675249,
0.014136884361505508,
-0.032072026282548904,
0.08255397528409958,
0.020812904462218285,
0.00847341027110815,
0.007896889001131058,
-0.0030085693579167128,
-0.052400458604097366,
-0.005304965190589428,
-0.02395228110253811,
-0.02127799764275551,
0.040075499564409256,
0.01572595164179802,
0.040269289165735245,
0.054222073405981064,
0.004970679525285959,
-0.024397995322942734,
-0.044726427644491196,
-0.017034024000167847,
0.019543588161468506,
-0.04333114996552467,
0.015793778002262115,
-0.021510543301701546,
-0.01419502031058073,
0.062283679842948914,
-0.0036844073329120874,
0.05999697372317314,
-0.0063756476156413555,
0.038660842925310135,
0.024611162021756172,
-0.01055179350078106,
-0.019727688282728195,
-0.004585524555295706,
0.003715897910296917,
-0.04658679664134979,
-0.0037449661176651716,
-0.042090900242328644,
0.0410832017660141,
-0.010687445290386677,
-0.013623343780636787,
-0.012460611760616302,
0.07259324193000793,
-0.03869960084557533,
0.006215771660208702,
-0.07825186848640442,
-0.04740070924162865,
0.012034277431666851,
-0.005959001835435629,
-0.005343722645193338,
-0.0023351535201072693,
0.02912643924355507,
0.00027826844598166645,
0.02734358236193657,
0.02910706028342247,
-0.06050082668662071,
-0.056353747844696045,
0.013322971761226654,
-0.013633033260703087,
0.054183315485715866,
-0.01715029776096344,
-0.023487187922000885,
0.03697488084435463,
0.0151833426207304,
0.04941611364483833,
0.028273768723011017,
0.00857030414044857,
0.025095634162425995,
-0.017547564581036568,
0.04763325676321983,
0.06336890161037445,
0.018855638802051544,
-0.01984396018087864,
0.010241732001304626,
-0.022808928042650223,
-0.04174208268523216,
-0.015231790021061897,
0.00328229577280581,
-0.04898977652192116,
-0.057942815124988556,
0.022789549082517624,
0.01373961754143238,
0.03732369840145111,
0.025134392082691193,
0.02426234260201454,
0.00811974611133337,
-0.03201388940215111,
-0.03362233564257622,
-0.031335629522800446,
0.028796996921300888,
-0.004190680105239153,
0.011452910490334034,
-0.006312665995210409,
-0.007809683680534363,
0.02360346168279648,
0.014136884361505508,
0.010348315350711346,
-0.006811671890318394,
0.05212915316224098,
-0.043137360364198685,
0.03337040916085243,
-0.034726932644844055,
-0.006157635245472193,
-0.013923716731369495,
-0.009888066910207272,
0.028448177501559258,
0.027382340282201767,
-0.025134392082691193,
0.009883223101496696,
0.0464705266058445,
-0.04736195504665375,
-0.043137360364198685,
-0.01445663534104824,
-0.014417877420783043,
0.004033226985484362,
-0.0749187022447586,
-0.037614382803440094,
0.004275462590157986,
0.013041977770626545,
-0.011288190260529518,
0.0003409469500184059,
-0.0036432272754609585,
0.05612120032310486,
-0.0375174880027771,
-0.017460359260439873,
0.039532892405986786,
0.02963028848171234,
-0.02984345704317093,
-0.01748942770063877,
0.008550925180315971,
0.037963204085826874,
0.007577137555927038,
-0.02110358700156212,
0.017896384000778198,
0.03195575252175331,
-0.023293398320674896,
0.030657369643449783,
-0.04360245168209076,
0.036160968244075775,
-0.03234333172440529,
-0.007630429230630398,
0.033331651240587234,
-0.017227813601493835,
-0.013923716731369495,
0.0875924825668335,
-0.03193637356162071,
-0.03769189864397049,
0.01213117130100727,
0.03645164892077446,
-0.03090929426252842,
-0.005111176520586014,
-0.047788288444280624,
-0.01481514424085617,
-0.05015251040458679,
0.014970175921916962,
-0.013167941011488438,
0.0015612100251019,
0.028331905603408813,
-0.021316755563020706,
0.07290329784154892,
0.04414506256580353,
-0.016733651980757713,
-0.07251572608947754,
-0.030308550223708153,
-0.010687445290386677,
-0.04271102324128151,
0.004750244785100222,
-0.013322971761226654,
-0.014766697771847248,
-0.03711053356528282,
-0.012043965980410576,
0.018981602042913437,
0.05825287848711014,
0.028467556461691856,
-0.00007895374437794089,
-0.014146573841571808,
0.026200229302048683,
-0.023816628381609917,
-0.025056876242160797,
0.035598982125520706,
0.02342905104160309,
0.05305933952331543,
-0.019504830241203308,
0.010852166451513767,
0.014689181931316853,
0.02373911254107952,
-0.005208070855587721,
-0.0625937432050705,
-0.042052142322063446,
-0.022808928042650223,
0.0016920174239203334,
-0.02052222192287445,
-0.0048858970403671265,
0.03840891644358635,
0.06088840216398239,
0.01143353246152401,
0.0037110531702637672,
-0.04360245168209076,
0.03338978812098503,
-0.00656943628564477,
-0.07650776952505112,
0.00398235721513629,
0.014330673031508923,
0.02106482908129692,
-0.023370914161205292,
0.04891226440668106,
0.0517415776848793,
0.04410630464553833,
-0.011191296391189098,
0.019175389781594276,
-0.037246182560920715,
0.021684953942894936,
-0.020483464002609253,
0.00002051434785244055,
-0.04879599064588547,
0.024165447801351547,
-0.08294155448675156,
-0.013197009451687336,
0.002538631670176983,
0.03806009516119957,
-0.016142597422003746,
-0.018293650820851326,
0.01661738008260727,
0.02641339786350727,
-0.046703070402145386,
0.049377355724573135,
-0.050113752484321594,
0.0002255821309518069,
0.0011972506763413548,
-0.026219608262181282,
-0.01224744413048029,
0.01573564112186432,
0.053679462522268295,
-0.0084782550111413,
-0.05143151432275772,
-0.025250663980841637,
0.06197362020611763,
0.022014394402503967,
-0.003030370455235243,
-0.015202721580862999,
-0.009447198361158371,
0.0535244345664978,
-0.04391251504421234,
0.009640987031161785,
-0.02449488826096058,
0.003500307910144329,
0.017198745161294937,
0.016491416841745377,
-0.033118486404418945,
0.01125912182033062,
0.03627724200487137,
-0.018845949321985245,
-0.04263351112604141,
0.05786529928445816,
0.014892660081386566,
0.010764961130917072,
-0.011404464021325111,
0.07422106713056564,
-0.015270547941327095,
-0.019601725041866302,
0.023448430001735687,
0.044687669724226,
-0.0014279803726822138,
0.01045489963144064,
0.008260242640972137,
0.028486935421824455,
-0.026723459362983704,
0.04879599064588547,
-0.013991543091833591,
-0.007678876630961895,
0.0028268923051655293,
-0.06201237812638283,
0.049919962882995605,
0.009006328880786896,
0.004071984440088272,
-0.0005919638788327575,
0.03536643460392952,
-0.005929933395236731,
-0.03267277032136917,
0.008657509461045265,
0.01860371232032776,
0.04844716936349869,
-0.05069511756300926,
-0.012586575001478195,
-0.01752818562090397,
-0.005915399640798569,
0.012673779390752316,
0.04712940752506256,
0.0000739576353225857,
-0.027382340282201767,
-0.027653643861413002,
0.009515023790299892,
0.019165700301527977,
0.012731916271150112,
-0.03738183528184891,
0.01591973938047886,
-0.00918558333069086,
-0.01980520226061344,
-0.06825236976146698,
-0.022789549082517624,
0.042982328683137894,
-0.0022200916428118944,
0.005745834205299616,
0.0321689210832119,
0.006777759175747633,
-0.012189308181405067,
-0.0338936410844326,
-0.06092716008424759,
0.013080735690891743,
0.036684196442365646,
-0.03656792268157005,
-0.04181959852576256,
0.04085065424442291,
0.03329289332032204,
-0.011995519511401653,
-0.03071550652384758,
-0.04550158232450485,
-0.033971156924963,
-0.06375647336244583,
-0.006637262180447578,
0.004188257735222578,
0.018438993021845818,
0.039920467883348465,
-0.00024617218878120184,
-0.005251673050224781,
0.03245960548520088,
0.003633537795394659,
-0.0046727294102311134,
-0.026122713461518288,
0.05584989860653877,
-0.030231034383177757,
0.011762972921133041,
0.006700243800878525,
0.021936878561973572,
0.03269214928150177,
-0.04631549492478371,
0.007373659405857325,
-0.033990535885095596,
0.03251773864030838,
0.057593993842601776,
0.009713657200336456,
-0.04945487156510353,
-0.02643277496099472,
0.03466879576444626,
-0.015793778002262115,
-0.04906729236245155,
-0.01373961754143238,
0.002005712827667594,
0.0038830407429486513,
-0.037595003843307495,
0.004517698660492897,
0.04763325676321983,
-0.03678109124302864,
-0.044183820486068726,
0.04875723272562027,
0.008415273390710354,
0.006094654090702534,
-0.00956347119063139,
0.04247847944498062,
0.014979864470660686,
0.02839004062116146,
0.03554084524512291,
-0.02321588434278965,
0.07441484928131104,
-0.022421350702643394,
0.026490911841392517,
-0.07453112304210663,
-0.0035511774476617575,
-0.0060994988307356834,
0.03335103020071983,
-0.027188552543520927,
-0.03949413448572159,
-0.013284213840961456,
-0.008628441020846367,
-0.029591530561447144,
0.015948807820677757,
0.05282679572701454,
-0.035986557602882385,
-0.021161723881959915,
-0.01447601430118084,
0.017208434641361237,
0.0002982528822030872,
-0.02125861868262291,
0.030308550223708153,
0.005828194320201874,
-0.016181355342268944,
-0.040269289165735245,
-0.010939370840787888,
0.0038055251352488995,
-0.0026791284326463938,
0.017586322501301765,
0.04933859780430794,
-0.007935645990073681,
-0.003633537795394659,
-0.06883373856544495,
-0.02713041566312313,
0.001326241297647357,
-0.0022527934052050114,
0.042943570762872696,
-0.009951048530638218,
-0.019378867000341415,
0.020134644582867622,
-0.03961040452122688,
-0.016394522041082382,
0.01568719372153282,
0.016859615221619606,
0.02749861404299736,
-0.06038455292582512,
-0.0294752586632967,
0.02445613220334053,
0.025657620280981064,
-0.034223079681396484,
0.016510795801877975,
0.000953198061324656,
0.009999495930969715,
0.056508779525756836,
-0.02590954676270485,
-0.07476367056369781,
-0.001028896775096655,
0.04701313376426697,
0.015328684821724892,
0.016161976382136345,
-0.029223332181572914,
0.014388808980584145,
0.0023945013526827097,
-0.0054115490056574345,
-0.005125710740685463,
0.0008181515731848776,
0.02716917358338833,
0.024010417982935905,
0.023467808961868286,
-0.01768321730196476,
0.013681480661034584,
0.0276730228215456,
0.007993782870471478,
-0.054377105087041855,
-0.009340614080429077,
-0.024882465600967407,
-0.0151930321007967,
0.04088941216468811,
0.017925452440977097,
-0.010503346100449562,
0.023157747462391853,
-0.03482382744550705,
0.0039024194702506065,
0.01664644666016102,
0.007441485300660133,
0.011733904480934143,
-0.008328068070113659,
-0.01445663534104824,
-0.04038555920124054,
-0.01018359512090683,
-0.007833907380700111,
0.03912593424320221,
-0.01948545128107071,
-0.05774902552366257,
-0.020057128742337227,
0.018681228160858154,
0.004994903225451708,
-0.0016447814414277673,
0.02001837082207203,
0.041005685925483704,
-0.016152286902070045,
-0.023467808961868286,
-0.03236271068453789,
-0.0482146218419075,
0.021336132660508156,
0.018090173602104187,
0.00024420401314273477,
0.041160713881254196,
0.023157747462391853,
0.030095381662249565,
-0.07042280584573746,
-0.01930135302245617,
-0.02910706028342247,
-0.026665322482585907,
0.06348516792058945,
-0.034009914845228195,
0.013429555110633373,
0.034397490322589874,
0.018177378922700882,
0.039765436202287674,
-0.015018622390925884,
-0.027111036702990532,
0.02215004526078701,
0.013468313030898571,
-0.0041640340350568295,
0.06495796889066696,
-0.02895202860236168,
-0.03377736732363701,
0.0031127305701375008,
-0.032614633440971375,
0.04623797908425331,
-0.010047943331301212,
0.08301907032728195,
0.04860220104455948,
-0.017004957422614098,
-0.04042431712150574,
0.05445461720228195,
-0.004210059065371752,
0.0392422080039978,
-0.01141415350139141,
0.005091797560453415,
0.008095522411167622,
-0.010319246910512447,
-0.0303666852414608,
0.004461984150111675,
-0.057051386684179306,
0.0008484310819767416,
-0.002911674790084362,
-0.01770259626209736,
-0.039184071123600006,
0.04003674164414406,
0.012528438121080399,
0.0027227308601140976,
-0.009640987031161785,
0.029727183282375336,
0.022033773362636566,
-0.01313887257128954,
-0.005503598600625992,
-0.0021970791276544333,
0.11542053520679474,
0.00755291385576129,
-0.0031224200502038,
-0.05674132704734802,
0.03784693032503128,
0.04712940752506256,
0.036160968244075775,
-0.008773782290518284,
0.021355511620640755,
0.007892044261097908,
0.019078494980931282,
-0.020502842962741852,
-0.04158705100417137,
0.041703324764966965,
0.0021837560925632715,
0.014301604591310024,
-0.013768685981631279,
0.0019221414113417268,
0.02608395554125309,
0.03693612292408943,
-0.009078999981284142,
0.050656359642744064,
0.024378616362810135,
0.023312777280807495,
0.01508644875138998,
-0.02930084802210331,
0.020638493821024895,
-0.03032792918384075,
-0.05127648636698723,
-0.10480091720819473,
-0.04426133260130882,
0.024553025141358376,
-0.008735024370253086,
-0.0055811139754951,
0.020929178223013878,
-0.0015454647364094853,
-0.03608345240354538,
-0.014127194881439209,
-0.020134644582867622,
0.0017428869614377618,
-0.012877257540822029,
-0.0037498108576983213,
-0.036703575402498245,
-0.015803467482328415,
-0.009224341250956059,
-0.004764779005199671,
-0.013071046210825443,
-0.006336889695376158,
-0.0004554034094326198,
0.05488095432519913,
0.04519151896238327,
0.031219355762004852,
0.00722831767052412,
-0.042245931923389435,
0.00822148472070694,
0.017053402960300446,
-0.026122713461518288,
-0.013555518351495266,
0.0005286797531880438,
-0.019156010821461678,
0.025270042940974236,
-0.0357540100812912,
-0.0018216136377304792,
0.006055896170437336,
-0.05092766508460045,
-0.03257587552070618,
-0.03910655528306961,
0.00015487954078707844,
0.009980116970837116,
0.01142384298145771,
-0.04453263804316521,
0.022440729662775993,
0.0010767383500933647,
0.03784693032503128,
0.0005453334306366742,
-0.05166406184434891,
0.06104343384504318,
0.048137109726667404,
0.04015301540493965,
0.03497885540127754,
-0.03962978348135948,
-0.013313282281160355,
0.06480293720960617,
-0.0006419250275939703,
-0.04174208268523216,
-0.058834243565797806,
0.0013407754013314843,
0.04964866116642952,
-0.014049679040908813,
-0.0017174521926790476,
-0.003660183632746339,
0.013080735690891743,
0.023351535201072693,
0.0111622279509902,
-0.0047865803353488445,
-0.02538631670176983,
0.026684701442718506,
0.013468313030898571,
0.0014267691876739264,
-0.022285697981715202,
0.0029625443276017904,
0.009350303560495377,
0.014156263321638107,
0.012625331990420818,
-0.0035850906278938055,
-0.00909837894141674,
-0.04302108660340309,
0.01729563996195793,
-0.04216841608285904,
0.0018385701114311814,
-0.046354252845048904,
-0.04410630464553833,
-0.022363213822245598,
0.001375899650156498,
0.027285445481538773,
-0.004551611375063658,
0.0022673276253044605,
0.0410444438457489,
0.04774953052401543,
0.00593477813526988,
-0.01751849614083767,
0.03592842072248459,
0.014563219621777534,
-0.07654652744531631,
0.02786681242287159,
0.02891327068209648,
-0.021297376602888107,
0.014611666090786457,
0.0007036951137706637,
0.07976341992616653,
0.003892729990184307,
0.02304147370159626,
0.04433884844183922,
0.046703070402145386,
-0.016927441582083702,
-0.011733904480934143,
-0.002470805775374174,
-0.011753283441066742,
-0.03408742696046829,
0.004062294960021973,
0.035967178642749786,
0.0035826682578772306,
0.026316503062844276,
0.02747923508286476,
-0.011704836040735245,
0.010144837200641632,
0.018148310482501984,
0.014330673031508923,
-0.002078383695334196,
0.007310677785426378,
-0.02110358700156212,
0.010135147720575333,
0.037963204085826874,
-0.059415608644485474,
-0.047439467161893845,
-0.02377787046134472,
0.010571172460913658,
0.01419502031058073,
0.004842294845730066,
0.0051160212606191635,
0.02342905104160309,
0.03780817240476608,
-0.011569184251129627,
-0.039726678282022476,
-0.03536643460392952,
0.039048418402671814,
0.042594753205776215,
-0.007136268075555563,
0.053873252123594284,
0.003715897910296917,
0.02980469912290573,
0.044726427644491196,
0.01681116782128811,
-0.028971407562494278,
0.015977876260876656,
-0.02195625752210617,
-0.035443950444459915,
0.006133411545306444,
-0.01178235188126564,
0.002387234242632985,
-0.0196695514023304,
-0.04336990788578987,
0.006428939290344715,
0.028622588142752647,
0.019020358100533485,
0.07081038504838943,
-0.0035293763503432274,
0.013894648291170597,
0.0058330390602350235,
0.000711567816324532,
-0.005663474090397358,
-0.023099610581994057,
0.0018555265851318836,
-0.010106079280376434,
0.015599988400936127,
0.017751043662428856,
0.02090979926288128,
-0.009248564951121807,
-0.006302976980805397,
-0.006123722065240145,
-0.007412416860461235,
0.025812651962041855,
0.03835077956318855,
-0.035812146961688995,
0.01894284412264824,
-0.033854883164167404,
0.008245708420872688,
0.05499722808599472,
0.027924949303269386,
-0.0030376375652849674,
-0.020754767581820488,
-0.028254389762878418,
0.02840941958129406,
0.017218124121427536,
0.021646196022629738,
0.04926108196377754,
-0.034009914845228195,
0.04077313840389252,
0.01605539210140705,
-0.008158503100275993,
0.06538429856300354,
0.010096389800310135,
0.016210423782467842,
0.018971912562847137,
-0.051509030163288116,
-0.026180850341916084,
-0.04085065424442291,
0.01373961754143238,
0.0016229802276939154,
-0.0009501700988039374,
-0.0010864278301596642,
0.022595759481191635,
-0.0014873280888423324,
0.01055179350078106,
0.0321301631629467,
-0.0016544708050787449,
-0.03523078188300133,
0.04836965352296829,
-0.00590086542069912,
0.0024611162953078747,
0.02930084802210331,
0.02090979926288128,
0.0033573887776583433,
-0.03052171692252159,
-0.008894900791347027,
0.0028268923051655293,
-0.057981573045253754,
-0.008105211891233921,
0.028002463281154633,
0.0033695006277412176,
-0.047245681285858154,
0.0069279451854527,
0.006361113395541906,
0.011947072111070156,
0.01645265892148018,
-0.006070430390536785,
-0.045617856085300446,
-0.027769917622208595,
-0.05771026760339737,
-0.03910655528306961,
-0.047788288444280624,
-0.0018712719902396202,
-0.008424962870776653,
0.020619114860892296,
-0.03676171228289604,
-0.019785823300480843,
-0.03127749264240265,
-0.0018204024527221918,
0.000998617266304791,
-0.013051667250692844,
-0.00033822181285358965,
0.011753283441066742,
-0.02288644388318062,
-0.017896384000778198,
-0.037033017724752426,
-0.00034124974627047777,
-0.024320479482412338,
0.057400207966566086,
-0.013158251531422138,
-0.007393037900328636,
-0.007107199635356665,
-0.006462852470576763,
-0.007136268075555563,
-0.011307569220662117,
-0.011181606911122799,
0.01767352782189846,
-0.012189308181405067,
-0.07468615472316742,
0.006990926805883646,
0.01804172620177269,
-0.01007701177150011,
0.009897756390273571,
0.01608446054160595,
-0.030986810103058815,
0.020328432321548462,
0.013642722740769386,
-0.04627673700451851,
-0.02928146906197071,
0.01732470840215683,
-0.03092867322266102,
0.007087821140885353,
0.025095634162425995,
-0.032963454723358154,
0.009873533621430397,
0.007349435705691576,
-0.032246436923742294,
-0.005154778715223074,
-0.0277117807418108,
0.01734408736228943,
-0.041160713881254196,
-0.026161471381783485,
0.0011142848525196314,
-0.013904337771236897,
-0.0294946376234293,
-0.011472289450466633,
-0.037575624883174896,
0.037943825125694275,
-0.018506819382309914,
0.03360295668244362,
0.029010165482759476,
0.0004587341391015798,
-0.029068302363157272,
0.0036456494126468897,
-0.030812399461865425,
0.05236170068383217,
-0.002773600397631526,
0.045617856085300446,
0.0013698437251150608,
-0.006957013625651598,
-0.02195625752210617,
0.029223332181572914,
0.02073538862168789,
0.009432664141058922,
0.03054109588265419,
0.00920980703085661,
-0.01624917984008789,
-0.007000615820288658,
-0.00982993096113205,
0.03106432594358921,
0.02106482908129692,
0.018283961340785027,
0.027983086183667183,
-0.06732218712568283,
-0.003376767737790942,
-0.009238875471055508,
-0.025948304682970047,
-0.017857626080513,
0.01643327996134758,
0.0031369542703032494,
0.04147077724337578,
-0.015619367361068726,
-0.05856293812394142,
0.039358481764793396,
-0.00909837894141674,
0.018836259841918945,
-0.01089092344045639,
0.0013710549101233482,
-0.02645215392112732,
-0.008439497090876102,
-0.007402727380394936,
0.029010165482759476,
-0.017537875100970268,
-0.02464991994202137,
0.02143302746117115,
-0.0223244559019804,
-0.02463054098188877,
0.0032750286627560854,
-0.0010119403013959527,
-0.049028534442186356,
-0.06910504400730133,
0.00006241357914404944,
0.0004426860250532627,
0.02443675324320793,
0.000322476465953514,
0.006622727960348129,
0.05232294276356697,
-0.037246182560920715,
0.010919991880655289,
-0.012111792340874672,
0.014621355570852757,
-0.04166456684470177
] |
Causal DAGs (also known as Bayesian networks) are a popular tool for encoding
conditional dependencies between random variables. In a causal DAG, the random
variables are modeled as vertices in the DAG, and it is stipulated that every
random variable is independent of its ancestors conditioned on its parents. It
is possible, however, for two different causal DAGs on the same set of random
variables to encode exactly the same set of conditional dependencies. Such
causal DAGs are said to be Markov equivalent, and equivalence classes of Markov
equivalent DAGs are known as Markov Equivalent Classes (MECs). Beautiful
combinatorial characterizations of MECs have been developed in the past few
decades, and it is known, in particular that all DAGs in the same MEC must have
the same ''skeleton'' (underlying undirected graph) and v-structures (induced
subgraph of the form $a\rightarrow b \leftarrow c$).
These combinatorial characterizations also suggest several natural
algorithmic questions. One of these is: given an undirected graph $G$ as input,
how many distinct Markov equivalence classes have the skeleton $G$? Much work
has been devoted in the last few years to this and other closely related
problems. However, to the best of our knowledge, a polynomial time algorithm
for the problem remains unknown.
In this paper, we make progress towards this goal by giving a fixed parameter
tractable algorithm for the above problem, with the parameters being the
treewidth and the maximum degree of the input graph $G$. The main technical
ingredient in our work is a construction we refer to as shadow, which lets us
create a "local description'' of long-range constraints imposed by the
combinatorial characterizations of MECs. | [
-0.006561653688549995,
-0.0017648105276748538,
-0.036775022745132446,
-0.005245602689683437,
0.06097548082470894,
0.03441264107823372,
-0.056101907044649124,
0.017587650567293167,
-0.03580775111913681,
0.006570954341441393,
0.011709598824381828,
-0.01740163564682007,
0.020182549953460693,
-0.04933098703622818,
-0.059636179357767105,
0.0077660963870584965,
0.009830854833126068,
-0.007989313453435898,
0.03619838133454323,
-0.05699477717280388,
-0.02068478800356388,
0.0210754182189703,
-0.02457248605787754,
0.02853459119796753,
0.02624661475419998,
0.015950724482536316,
0.016099536791443825,
-0.02619081176817417,
-0.05714358761906624,
0.04721042513847351,
0.025056123733520508,
0.054018549621105194,
-0.01859212853014469,
0.003827243810519576,
-0.04732203483581543,
-0.027418505400419235,
-0.013746455311775208,
-0.010016868822276592,
-0.02819976583123207,
0.04568510875105858,
-0.031399212777614594,
-0.003983031027019024,
-0.008035817183554173,
0.014574219472706318,
0.013439532369375229,
-0.004213223699480295,
-0.06224038079380989,
0.015699606388807297,
-0.01680639013648033,
-0.004143468104302883,
-0.03212466835975647,
-0.004215548746287823,
0.0018078263383358717,
0.01438820455223322,
-0.02289835922420025,
-0.028813611716032028,
0.03976985439658165,
0.0488845519721508,
0.02049877494573593,
0.05357211455702782,
0.013783658854663372,
0.027623120695352554,
-0.10662338882684708,
0.042708881199359894,
0.038988593965768814,
-0.035231105983257294,
-0.02838577888906002,
0.010258687660098076,
0.025409551337361336,
-0.050223857164382935,
-0.04404818266630173,
-0.016434362158179283,
-0.04341573268175125,
-0.0450526587665081,
0.07760515809059143,
-0.04382496699690819,
0.007621935103088617,
-0.009886658750474453,
0.0015241545625030994,
0.007635886315256357,
0.00039353646570816636,
0.05133994296193123,
-0.022005489096045494,
-0.027883540838956833,
-0.0281811635941267,
-0.0705738216638565,
0.03939782455563545,
-0.061347510665655136,
0.05137714371085167,
0.05465099588036537,
-0.0496286116540432,
-0.007366165518760681,
0.0338359996676445,
-0.031120190396904945,
-0.01223974023014307,
0.01927107945084572,
0.05305127426981926,
0.009923862293362617,
-0.035398516803979874,
0.02622801437973976,
0.016387857496738434,
-0.02237751893699169,
-0.007700991351157427,
0.010026169940829277,
0.0210754182189703,
-0.027027875185012817,
-0.04721042513847351,
0.015950724482536316,
0.042708881199359894,
0.15119241178035736,
-0.004003957379609346,
0.04601993411779404,
-0.0023879583459347486,
0.0059478068724274635,
-0.0415927954018116,
-0.003229673020541668,
-0.044941049069166183,
-0.07797718793153763,
-0.012900090776383877,
-0.0004289954376872629,
-0.04512706398963928,
0.019624507054686546,
0.014481212012469769,
-0.03630998730659485,
-0.05878051370382309,
0.04788007587194443,
-0.030729560181498528,
0.0016101861838251352,
-0.03781670331954956,
-0.02057318016886711,
0.0028367177583277225,
-0.019605904817581177,
-0.015067157335579395,
-0.02105681598186493,
0.03236648440361023,
0.02492591366171837,
0.07849802821874619,
0.0018078263383358717,
-0.0172900278121233,
-0.05357211455702782,
0.011839808896183968,
-0.034877676516771317,
-0.01732723042368889,
-0.06663031876087189,
0.046540774405002594,
-0.051860783249139786,
-0.04590832442045212,
0.0724339634180069,
-0.050521478056907654,
0.06447254866361618,
-0.014546317048370838,
0.022061293944716454,
-0.012639670632779598,
0.08593860268592834,
0.019773317500948906,
0.04583391919732094,
-0.042560067027807236,
0.018480518832802773,
0.008198579773306847,
-0.008919385261833668,
0.029297249391674995,
0.020387165248394012,
-0.008728720247745514,
0.046168744564056396,
-0.025223536416888237,
0.003090162295848131,
-0.03947222977876663,
-0.03824453800916672,
-0.03651460260152817,
0.023698220029473305,
0.015132262371480465,
0.0015694955363869667,
0.016332054510712624,
-0.009523930959403515,
-0.0027088329661637545,
0.050372667610645294,
0.025539761409163475,
-0.021949686110019684,
0.02483290620148182,
-0.025242138653993607,
-0.05286525934934616,
-0.013885966502130032,
0.029520466923713684,
-0.007449871860444546,
0.06212877109646797,
0.01689939759671688,
0.061682336032390594,
-0.014583519659936428,
0.008821727707982063,
0.00842644739896059,
0.021614858880639076,
0.11168297380208969,
0.07976292818784714,
0.023958640173077583,
0.005375812761485577,
-0.03655180707573891,
-0.06782080978155136,
-0.0005292687565088272,
-0.007268507964909077,
-0.011635193601250648,
-0.05342330038547516,
-0.05431617051362991,
0.03471026569604874,
-0.00025140991783700883,
0.04992623254656792,
0.002035693731158972,
0.020480172708630562,
-0.06343086808919907,
0.03281291946768761,
-0.006417492870241404,
-0.023977240547537804,
0.035193901509046555,
-0.0021333512850105762,
-0.038951389491558075,
-0.010212183929979801,
-0.010556310415267944,
0.023847030475735664,
0.012230439111590385,
-0.010156380012631416,
-0.0033622081391513348,
0.06811843067407608,
-0.050595883280038834,
0.022265909239649773,
0.0012439704732969403,
0.03932341933250427,
0.07708431780338287,
0.04955420643091202,
-0.021410243585705757,
0.00030808616429567337,
-0.012788482010364532,
-0.010872534476220608,
0.01438820455223322,
-0.05918974429368973,
-0.010705121792852879,
-0.007519627455621958,
-0.02109402045607567,
-0.02295416221022606,
-0.024349270388484,
0.04549909383058548,
-0.03995586931705475,
-0.042708881199359894,
0.010909738019108772,
-0.01424869429320097,
0.012555964291095734,
0.05684596672654152,
0.06547702848911285,
0.03214326873421669,
0.01341162994503975,
0.0684160515666008,
0.04866133630275726,
-0.042336851358413696,
0.02455388568341732,
0.074591726064682,
-0.040662720799446106,
0.04873574152588844,
0.027232490479946136,
-0.034821875393390656,
0.012137431651353836,
0.006310534663498402,
-0.03193865343928337,
0.02827417105436325,
-0.015606597997248173,
-0.06123590096831322,
-0.002010116819292307,
0.0065058497712016106,
0.011486382223665714,
0.029408859089016914,
-0.029948299750685692,
0.013848762959241867,
0.008937986567616463,
-0.038579363375902176,
-0.05491141602396965,
0.0030111062806099653,
-0.05067029222846031,
-0.017727160826325417,
-0.06283562630414963,
0.009235609322786331,
-0.021745068952441216,
0.007947459816932678,
-0.008105572313070297,
-0.03205025941133499,
-0.03247809410095215,
-0.018099190667271614,
0.03528691083192825,
0.023214582353830338,
0.005296756513416767,
-0.025409551337361336,
0.005227001383900642,
-0.04769406095147133,
-0.04401097819209099,
-0.008984490297734737,
0.020126745104789734,
-0.013755756430327892,
-0.01438820455223322,
0.01912226900458336,
-0.02650703489780426,
-0.021652063354849815,
-0.019940732046961784,
0.032794319093227386,
-0.08407845348119736,
-0.0941232293844223,
-0.010853933170437813,
0.010798129253089428,
0.04877294600009918,
-0.036942437291145325,
0.04698720946907997,
0.015792611986398697,
0.08831958472728729,
0.021968286484479904,
-0.001177702913992107,
-0.006515150424093008,
-0.0030459838453680277,
-0.02111262083053589,
-0.004450391512364149,
0.0024344618432223797,
-0.04520146921277046,
0.031455013900995255,
-0.05476260557770729,
-0.02873920649290085,
-0.010193582624197006,
0.006580255459994078,
-0.03947222977876663,
-0.018387511372566223,
0.0007167363073676825,
0.009021692909300327,
0.0056083304807543755,
-0.034970685839653015,
0.061570726335048676,
-0.026934867724776268,
0.002012442098930478,
-0.020275557413697243,
-0.02066618762910366,
0.029371654614806175,
0.033277954906225204,
0.005919904448091984,
-0.02842298336327076,
0.04148118570446968,
0.0018903701566159725,
0.03781670331954956,
0.0037040093448013067,
-0.003945827949792147,
0.02479570358991623,
0.023661017417907715,
0.02284255437552929,
-0.0052223508246243,
-0.05111672356724739,
-0.030971378087997437,
-0.012035124003887177,
0.03610537201166153,
-0.025372348725795746,
0.0008498527458868921,
0.006296583451330662,
0.02492591366171837,
-0.004208573140203953,
0.0414067804813385,
-0.03731446713209152,
-0.025204936042428017,
-0.013551140204071999,
0.01676918752491474,
-0.015681004151701927,
0.03214326873421669,
-0.10156379640102386,
0.0032319980673491955,
0.03193865343928337,
-0.059896599501371384,
-0.013393028639256954,
-0.009812253527343273,
0.028813611716032028,
-0.04501545801758766,
-0.006770920008420944,
-0.03552872687578201,
0.029074031859636307,
0.011877012439072132,
-0.0027762632817029953,
-0.011021345853805542,
-0.020033737644553185,
0.008951937779784203,
-0.001450911397114396,
-0.046577975153923035,
0.02062898315489292,
-0.05699477717280388,
0.017810868099331856,
0.012955894693732262,
-0.003841195022687316,
-0.025930391624569893,
-0.017838770523667336,
0.006291933357715607,
-0.0001620358816580847,
-0.003090162295848131,
0.01917807199060917,
0.008826377801597118,
-0.03245949372649193,
0.026041999459266663,
-0.0015846091555431485,
0.048698540776968,
-0.04858693107962608,
-0.003941177856177092,
-0.029743684455752373,
0.02473990060389042,
-0.004971231799572706,
0.044569022953510284,
-0.013476734980940819,
-0.013532538898289204,
0.0716899037361145,
0.021521853283047676,
-0.01342093013226986,
0.03547292202711105,
-0.029278649017214775,
0.05900372937321663,
0.010621415451169014,
0.012797783128917217,
-0.031306203454732895,
-0.019903527572751045,
0.029074031859636307,
-0.02072199061512947,
0.010081973858177662,
-0.04575951397418976,
0.012072326615452766,
0.020238354802131653,
-0.042746081948280334,
0.0028181164525449276,
-0.030748160555958748,
0.035175301134586334,
-0.0023949339520186186,
0.005622281692922115,
0.09516490995883942,
0.018527023494243622,
0.006589556112885475,
0.007635886315256357,
-0.00351334479637444,
0.04360174760222435,
0.04575951397418976,
-0.007905607111752033,
-0.04992623254656792,
-0.011960718780755997,
-0.001457887003198266,
-0.05160036310553551,
0.039211809635162354,
0.006547702942043543,
0.013541840016841888,
-0.011198059655725956,
0.010909738019108772,
-0.008956587873399258,
0.03201305866241455,
-0.008049768395721912,
-0.015374080277979374,
-0.04512706398963928,
-0.048400916159152985,
-0.003957454115152359,
0.007831200957298279,
-0.09546253085136414,
0.01424869429320097,
-0.057776037603616714,
-0.06633269041776657,
0.0005118299159221351,
-0.0037946912925690413,
0.044866643846035004,
-0.04501545801758766,
0.07172710448503494,
-0.06011981517076492,
0.008296237327158451,
0.030934175476431847,
-0.011756102554500103,
-0.03206886351108551,
-0.02269374206662178,
0.0726199746131897,
0.003150617005303502,
0.004506195895373821,
0.006050114519894123,
0.017764363437891006,
0.04557349905371666,
-0.028906619176268578,
-0.04512706398963928,
-0.008640363812446594,
0.04356454685330391,
0.009077496826648712,
0.0133186224848032,
-0.0613103061914444,
0.007240606006234884,
0.04021628946065903,
0.009579735808074474,
0.06685353070497513,
-0.025465356186032295,
0.03180844336748123,
-0.02074059285223484,
-0.02656283974647522,
0.029520466923713684,
0.012611768208444118,
0.03162242844700813,
0.001110272714868188,
-0.013207013718783855,
0.025818781927227974,
-0.027585918083786964,
0.008179978467524052,
0.03774229809641838,
0.04672678932547569,
-0.0034226628486067057,
-0.04765686020255089,
0.05539505183696747,
0.025539761409163475,
0.07172710448503494,
-0.009616938419640064,
-0.01681569032371044,
-0.014936947263777256,
0.016648277640342712,
-0.050075046718120575,
0.0006429118802770972,
0.00943092443048954,
0.01134687103331089,
-0.04947980120778084,
-0.00945417582988739,
-0.002678605727851391,
-0.02291695959866047,
-0.03651460260152817,
-0.004106265492737293,
0.005743191111832857,
0.00612452020868659,
-0.039062999188899994,
0.035249706357717514,
0.05137714371085167,
0.004508521407842636,
-0.05933855473995209,
-0.01057491172105074,
0.007984663359820843,
-0.011709598824381828,
0.06737437099218369,
-0.005524624139070511,
0.0018554924754425883,
0.025539761409163475,
-0.009691344574093819,
-0.01311400718986988,
0.059487368911504745,
-0.008998440578579903,
-0.02055457793176174,
-0.044420212507247925,
-0.025744376704096794,
0.0026042000390589237,
0.04360174760222435,
-0.05145155265927315,
-0.01120736077427864,
-0.0057664429768919945,
0.028943821787834167,
-0.01037029642611742,
0.012648970820009708,
-0.008844979107379913,
0.006836025044322014,
0.018620029091835022,
0.008314838632941246,
0.04404818266630173,
-0.01244435552507639,
-0.005933855660259724,
0.016676180064678192,
0.006184975150972605,
-0.04308090731501579,
-0.015308975242078304,
-0.015336877666413784,
-0.015206667594611645,
-0.00613847142085433,
0.03595656156539917,
-0.059598974883556366,
0.005426966585218906,
0.007342913653701544,
0.017922475934028625,
-0.01046330388635397,
-0.05245602875947952,
0.026116404682397842,
-0.0446806326508522,
0.06949493288993835,
0.012072326615452766,
0.03424523025751114,
0.03361278027296066,
0.002878570929169655,
-0.009951763786375523,
-0.03577054664492607,
0.03020871989428997,
0.02114982344210148,
0.006064065732061863,
0.01696450263261795,
-0.0168714951723814,
-0.003773764707148075,
0.03636579215526581,
-0.006143121514469385,
0.01415568683296442,
0.012955894693732262,
0.005324658937752247,
0.01677848771214485,
-0.015039254911243916,
-0.0334639698266983,
-0.01315120980143547,
0.00624077906832099,
-0.011904913932085037,
0.07418249547481537,
-0.015820514410734177,
-0.010193582624197006,
-0.0036575058475136757,
-0.026916267350316048,
-0.046131543815135956,
-0.004094639327377081,
0.01866653375327587,
-0.018117791041731834,
0.03177123889327049,
0.011579388752579689,
0.004201597534120083,
-0.02810675837099552,
-0.007338263560086489,
-0.002699532313272357,
-0.0038109675515443087,
-0.004638731013983488,
-0.008975189179182053,
-0.002825091825798154,
-0.03599376231431961,
-0.04609433934092522,
-0.021559055894613266,
-0.03543572127819061,
0.016480864956974983,
-0.03817013278603554,
0.02070339024066925,
0.011449179612100124,
-0.014778834767639637,
-0.051786378026008606,
0.05160036310553551,
0.025818781927227974,
0.055767081677913666,
0.03407781571149826,
-0.021652063354849815,
-0.007384767290204763,
0.02449808083474636,
0.004915427416563034,
0.011542186141014099,
-0.03824453800916672,
0.00518514821305871,
0.01702960766851902,
-0.05152595788240433,
-0.013978973031044006,
-0.017587650567293167,
-0.011681697331368923,
-0.05089350789785385,
0.03962104395031929,
-0.007468473631888628,
0.02630241960287094,
-0.019922129809856415,
-0.011858410201966763,
0.021391643211245537,
-0.015792611986398697,
-0.0028901968616992235,
-0.015708906576037407,
0.03015291504561901,
-0.031306203454732895,
0.025056123733520508,
0.023400597274303436,
0.01915947161614895,
0.040923140943050385,
0.03943502902984619,
0.04698720946907997,
0.0452386736869812,
-0.019866324961185455,
0.014062679372727871,
-0.02464689314365387,
-0.029706481844186783,
0.01717841997742653,
-0.021298635751008987,
0.0027948645874857903,
0.007073193322867155,
0.03954663500189781,
-0.021986888721585274,
-0.015169464983046055,
-0.00432715704664588,
-0.015504290349781513,
-0.019959332421422005,
0.0208894032984972,
0.01723422296345234,
-0.034673061221838,
-0.033240754157304764,
0.005524624139070511,
0.004882874898612499,
-0.029687879607081413,
-0.04735923558473587,
0.02101961337029934,
-0.004017908591777086,
-0.008993790484964848,
-0.010826031677424908,
0.0007620772812515497,
-0.026079202070832253,
0.028720606118440628,
0.027009274810552597,
-0.00032988470047712326,
0.0029646025504916906,
0.020070942118763924,
-0.03854215890169144,
-0.03206886351108551,
-0.020442970097064972,
-0.03413362056016922,
0.022191504016518593,
0.006961584556847811,
0.008947286754846573,
0.010202883742749691,
-0.025893189013004303,
0.01730862818658352,
0.009784351103007793,
0.021484650671482086,
-0.019829122349619865,
0.03740747272968292,
0.01892695389688015,
0.021893881261348724,
-0.03962104395031929,
0.015067157335579395,
-0.008156726136803627,
0.00840784516185522,
-0.028013750910758972,
0.02072199061512947,
-0.006361688487231731,
0.02278674952685833,
-0.0012881489237770438,
0.025372348725795746,
0.03549152612686157,
0.00012105461064493284,
0.022321714088320732,
-0.012900090776383877,
-0.0246282909065485,
0.006422142963856459,
0.012872188352048397,
-0.04129517078399658,
0.04877294600009918,
-0.027120882645249367,
-0.0030831866897642612,
0.015699606388807297,
0.012072326615452766,
0.0345800556242466,
0.02237751893699169,
0.011486382223665714,
-0.025372348725795746,
-0.007719592656940222,
0.019754717126488686,
0.025595566257834435,
0.011365472339093685,
0.01321631483733654,
-0.013923169113695621,
0.008365992456674576,
-0.037091247737407684,
-0.00842179637402296,
0.027771933004260063,
0.010491205379366875,
0.029148438945412636,
-0.011523584835231304,
-0.0018368910532444715,
0.061421915888786316,
-0.004496895242482424,
-0.02237751893699169,
-0.003922576084733009,
0.010416800156235695,
-0.003129690419882536,
-0.03260830417275429,
0.007710292004048824,
-0.023177379742264748,
-0.04754525050520897,
-0.009737847372889519,
0.0206103827804327,
-0.026972070336341858,
0.036961037665605545,
0.00011160856956848875,
-0.013830161653459072,
0.04549909383058548,
0.015169464983046055,
0.03545432165265083,
0.002990179695188999,
0.055804286152124405,
-0.0338359996676445,
0.008649663999676704,
0.03398481011390686,
-0.036961037665605545,
0.013541840016841888,
0.020089542493224144,
0.009523930959403515,
0.003445914713665843,
0.0067941718734800816,
0.017550447955727577,
0.008142774924635887,
-0.005971058271825314,
-0.02488871105015278,
0.025316543877124786,
0.005524624139070511,
-0.02101961337029934,
-0.013783658854663372,
0.01722492277622223,
-0.004029534291476011,
-0.021912483498454094,
0.00613847142085433,
-0.010593513026833534,
0.00856595765799284,
0.04326692223548889,
-0.023698220029473305,
-0.04349013790488243,
0.03820733353495598,
-0.02068478800356388,
0.08578978478908539,
-0.017531845718622208,
-0.010909738019108772,
0.006938332691788673,
-0.02092660777270794,
-0.006226828321814537,
-0.014602120965719223,
-0.04110915586352348,
-0.02250772900879383,
-0.001910134218633175,
-0.04933098703622818,
-0.04151838645339012,
-0.019922129809856415,
-0.04185321554541588,
-0.023698220029473305,
-0.017903875559568405,
-0.005738540552556515,
0.027995150536298752,
-0.023214582353830338,
-0.01713191531598568,
0.005138644482940435,
0.006915080826729536,
-0.04512706398963928,
-0.011839808896183968,
-0.025204936042428017,
-0.03205025941133499,
-0.04687559977173805,
-0.06659311056137085,
0.01133757084608078,
-0.015801914036273956,
-0.007738194428384304,
-0.0281811635941267,
0.038728173822164536,
-0.025428151711821556,
0.04125796630978584,
-0.02094520814716816,
0.03203165903687477,
0.04516426846385002,
-0.02464689314365387,
-0.01228624302893877,
-0.029706481844186783,
0.03437544032931328,
-0.020368564873933792,
0.007366165518760681,
0.017345832660794258,
0.0496286116540432,
0.0072080534882843494,
0.0006527938530780375,
-0.04501545801758766,
-0.008328789845108986,
-0.0011091101914644241,
0.046391963958740234,
-0.023940037935972214,
-0.02487010881304741,
-0.02624661475419998,
-0.04520146921277046,
0.02118702605366707,
0.007789348252117634,
0.04229964688420296,
0.031585223972797394,
-0.016155339777469635,
0.006561653688549995,
0.046243149787187576,
-0.038876984268426895,
-0.007933509536087513,
-0.027883540838956833,
-0.019438492134213448,
0.0014067330630496144,
0.0010236598318442702,
-0.025837384164333344,
-0.020442970097064972,
0.03026452474296093,
0.007975362241268158,
-0.031455013900995255,
-0.011365472339093685,
-0.06108709052205086,
0.004324831999838352,
0.02866480126976967,
-0.007798648905009031,
0.0014671876560896635,
0.006780220661312342,
-0.013923169113695621,
0.027362700551748276,
0.006863927002996206,
0.029743684455752373,
0.0038574712816625834,
0.03244088962674141,
-0.01914086937904358,
-0.00023309915559366345,
-0.018582826480269432,
0.016573872417211533,
-0.002834392711520195,
0.029613474383950233,
-0.036533206701278687,
-0.013978973031044006,
-0.02260073460638523,
-0.03965824469923973,
0.014936947263777256,
-0.02059178054332733,
0.0003973148704972118,
0.003880722913891077,
-0.008231132291257381,
-0.026972070336341858,
0.008124173618853092,
0.0006254730396904051,
-0.04170440137386322,
0.00655700359493494,
-0.03177123889327049,
0.020163947716355324,
0.03740747272968292,
0.020108144730329514,
0.013718553818762302,
-0.006952283903956413,
0.013086104765534401,
0.03792831301689148,
0.010667919181287289,
0.007473123725503683,
-0.010360995307564735,
-0.029408859089016914,
-0.040551114827394485,
-0.011570088565349579,
0.0063477372750639915,
-0.04174160584807396,
-0.0286461990326643,
0.01318841241300106,
0.0012114180717617273,
-0.023158777505159378,
0.05892932415008545,
0.02457248605787754,
0.025335146114230156,
0.025818781927227974,
-0.011123654432594776,
-0.00010296181426383555,
-0.0017252825200557709,
0.031045783311128616,
0.00859386008232832,
-0.04895896092057228,
0.011012045666575432,
-0.008063719607889652,
0.02299136482179165,
0.0074963755905628204,
0.004592227749526501,
-0.0031389910727739334,
-0.04036509990692139,
-0.03969544917345047,
-0.02284255437552929,
-0.033166345208883286,
0.06026862934231758,
0.05476260557770729,
0.06123590096831322,
0.014434708282351494,
0.018341008573770523,
0.048698540776968,
0.028125358745455742,
-0.03928621485829353,
0.006040813867002726,
-0.00019022867491003126,
-0.00518514821305871,
0.004896826110780239,
0.0018799068639054894,
0.021763671189546585,
-0.027195287868380547,
-0.020480172708630562,
-0.0070824939757585526,
0.025967594236135483,
0.06253800541162491,
-0.003927226644009352,
-0.03604956716299057,
-0.059859395027160645,
-0.008417146280407906,
0.007296410389244556,
0.005385113414376974,
0.01134687103331089,
-0.0645841583609581,
-0.03381739556789398,
0.023661017417907715,
0.03601236641407013,
0.005831548012793064,
0.021800873801112175,
0.023512205109000206,
-0.027381302788853645,
0.024033045396208763,
-0.019289681687951088,
-0.00617567403241992,
-0.010100575163960457,
-0.005333959590643644,
0.012518761679530144,
0.013932470232248306,
0.031101588159799576,
0.0074080186896026134,
0.004117891192436218,
0.03750047832727432,
0.03789110854268074,
-0.04319251701235771,
0.006361688487231731,
-0.017559748142957687,
-0.021745068952441216,
0.0343940407037735,
0.0014927645679563284,
-0.048698540776968,
-0.028888018801808357,
-0.02658144198358059,
-0.006650010589510202,
-0.0223403163254261,
-0.004431790206581354,
-0.029539069160819054,
-0.03824453800916672,
0.023772625252604485,
-0.026953469961881638,
0.02252632938325405,
-0.0003412199439480901,
-0.003969079814851284,
0.03662621229887009,
0.03461725637316704,
-0.0001883394579635933,
-0.015346178784966469,
-0.03577054664492607,
0.010946940630674362,
-0.004608504008501768,
0.02667444758117199,
-0.04936819151043892,
-0.013951071538031101,
-0.055543866008520126,
0.04017908498644829,
-0.025874586775898933,
0.0002800386864691973,
0.015867019072175026,
-0.055915892124176025,
-0.0601942203938961,
-0.026879064738750458
] |
Robust optimization provides a mathematical framework for modeling and
solving decision-making problems under worst-case uncertainty. This work
addresses two-stage robust optimization (2RO) problems (also called adjustable
robust optimization), wherein first-stage and second-stage decisions are made
before and after uncertainty is realized, respectively. This results in a
nested min-max-min optimization problem which is extremely challenging
computationally, especially when the decisions are discrete. We propose
Neur2RO, an efficient machine learning-driven instantiation of
column-and-constraint generation (CCG), a classical iterative algorithm for
2RO. Specifically, we learn to estimate the value function of the second-stage
problem via a novel neural network architecture that is easy to optimize over
by design. Embedding our neural network into CCG yields high-quality solutions
quickly as evidenced by experiments on two 2RO benchmarks, knapsack and capital
budgeting. For knapsack, Neur2RO finds solutions that are within roughly $2\%$
of the best-known values in a few seconds compared to the three hours of the
state-of-the-art exact branch-and-price algorithm; for larger and more complex
instances, Neur2RO finds even better solutions. For capital budgeting, Neur2RO
outperforms three variants of the $k$-adaptability algorithm, particularly on
the largest instances, with a 5 to 10-fold reduction in solution time. Our code
and data are available at https://github.com/khalil-research/Neur2RO. | [
-0.006456824019551277,
0.0064886086620390415,
-0.04311814531683922,
-0.012822834774851799,
0.058629054576158524,
-0.015665290877223015,
-0.04090230166912079,
0.032111573964357376,
-0.06574881076812744,
0.04199206084012985,
0.026953380554914474,
-0.029241876676678658,
-0.0036892895586788654,
-0.016219250857830048,
-0.05256272479891777,
-0.02875148504972458,
0.018707536160945892,
-0.016146600246429443,
0.05390676110982895,
-0.026535639539361,
0.057466644793748856,
-0.0045134201645851135,
0.03748772293329239,
0.03171199560165405,
-0.039485614746809006,
0.008495582267642021,
-0.014775320887565613,
0.001376956352032721,
-0.09037737548351288,
0.056558508425951004,
0.08347556740045547,
0.013258738443255424,
-0.0063523887656629086,
-0.01557447761297226,
0.0376330241560936,
0.006588503252714872,
0.014829808846116066,
0.0393766388297081,
-0.0248283501714468,
0.03565329313278198,
0.03465434908866882,
0.01062515377998352,
-0.020959705114364624,
-0.0050946250557899475,
0.05793887376785278,
-0.010234656743705273,
-0.0070698135532438755,
0.01728176698088646,
-0.010125680826604366,
0.015801509842276573,
-0.0075783682987093925,
-0.01748155616223812,
0.047658808529376984,
-0.03955826535820961,
-0.03817790374159813,
-0.014548287726938725,
0.06480435281991959,
0.058847006410360336,
0.03799627721309662,
0.033292148262262344,
0.0325656421482563,
-0.03559880703687668,
-0.05619525536894798,
-0.02257618121802807,
0.04010314494371414,
-0.0599367655813694,
0.10992038995027542,
-0.0077145881950855255,
0.04780410975217819,
-0.02241271734237671,
-0.08020628988742828,
0.003714263206347823,
-0.020850729197263718,
0.000913808646146208,
-0.0019978920463472605,
0.010207412764430046,
0.032093413174152374,
-0.019615668803453445,
0.018616722896695137,
0.06520393490791321,
0.015583558939397335,
0.04369935020804405,
-0.04246428981423378,
-0.04028477147221565,
0.03581675887107849,
-0.024864675477147102,
0.019815457984805107,
-0.07203309237957001,
-0.01831703819334507,
-0.003852753434330225,
-0.04351772367954254,
0.05579567700624466,
0.004586070775985718,
0.016382714733481407,
0.04707760363817215,
0.051109712570905685,
-0.02295759692788124,
0.0010698939440771937,
-0.02737112157046795,
-0.0111155454069376,
0.007841726765036583,
0.02450142242014408,
0.013077111914753914,
0.020977867767214775,
0.03509025275707245,
0.005843834485858679,
-0.01472083292901516,
0.05397941172122955,
0.01577426679432392,
0.11602304875850677,
0.04159248247742653,
0.03185729682445526,
0.011197277344763279,
0.03407314047217369,
-0.050237905234098434,
0.006997162941843271,
-0.07599255442619324,
-0.07693701237440109,
0.03699732944369316,
-0.03523555397987366,
-0.02143193408846855,
0.06781935691833496,
0.013195169158279896,
-0.03545350581407547,
-0.07058008015155792,
0.014938784763216972,
0.015120411291718483,
0.03205708786845207,
0.012732021510601044,
0.07468484342098236,
-0.05942821130156517,
-0.035871244966983795,
-0.02090521715581417,
-0.09277484565973282,
-0.008695371448993683,
0.030549587681889534,
0.032129738479852676,
-0.00983507838100195,
-0.06433212757110596,
0.01832612045109272,
0.036397963762283325,
-0.028642509132623672,
-0.013476690277457237,
0.02021503634750843,
0.008758940733969212,
-0.012441419064998627,
-0.008854295127093792,
0.0479130856692791,
-0.05045585706830025,
0.062079958617687225,
-0.053834110498428345,
0.05089176073670387,
-0.022848621010780334,
0.03238401561975479,
0.0462421216070652,
-0.019125277176499367,
0.0015744752017781138,
-0.024701211601495743,
0.04842163994908333,
-0.04468013346195221,
0.08587303757667542,
0.01643720269203186,
-0.000985891674645245,
0.03514473885297775,
-0.0022919001057744026,
0.03890440985560417,
0.04736820608377457,
-0.0021057329140603542,
-0.04642374813556671,
0.04231898859143257,
-0.043590374290943146,
-0.028370067477226257,
-0.004717750009149313,
0.03548983111977577,
0.01696391962468624,
-0.005512366071343422,
0.02860618196427822,
0.011469717137515545,
-0.0036847488954663277,
-0.005466959439218044,
-0.030349798500537872,
-0.03868645802140236,
0.07671906054019928,
0.012940892018377781,
0.03080386482179165,
0.06030001863837242,
0.044534832239151,
0.004156977869570255,
0.04162880778312683,
-0.01514765527099371,
0.009889566339552402,
0.024555910378694534,
-0.014684507623314857,
-0.0141214644536376,
0.016391796991229057,
-0.045479290187358856,
-0.05412471294403076,
-0.00038255093386396766,
-0.003455445170402527,
0.058302126824855804,
-0.02430163323879242,
-0.05154561623930931,
0.015583558939397335,
0.01936139166355133,
0.008250386454164982,
-0.0019207008881494403,
0.03788730129599571,
-0.05546874925494194,
0.01095208153128624,
-0.07926183193922043,
-0.01968831941485405,
-0.041374530643224716,
-0.06418682634830475,
-0.006447742693126202,
-0.051763568073511124,
-0.0022601154632866383,
-0.011333497241139412,
-0.05001995339989662,
-0.03926766291260719,
0.000977945514023304,
-0.020124223083257675,
0.08369351923465729,
0.0668748989701271,
-0.03305603191256523,
-0.012159897945821285,
0.0231210608035326,
-0.008046056143939495,
-0.029932057484984398,
-0.002106867963448167,
0.004547474905848503,
-0.04406260326504707,
0.005512366071343422,
0.03625266253948212,
0.04693230241537094,
0.027643561363220215,
0.041047602891922,
0.028479043394327164,
-0.002751642372459173,
0.0032057086937129498,
-0.007310469169169664,
0.0008343469817191362,
0.01954301819205284,
-0.0496930256485939,
-0.04653272405266762,
0.04166513308882713,
-0.007896214723587036,
-0.022376392036676407,
0.05597730353474617,
0.03574410825967789,
0.06211628392338753,
-0.08282171189785004,
0.009335605427622795,
0.004109300673007965,
-0.014339417219161987,
-0.019833620637655258,
-0.01573794148862362,
0.0037483181804418564,
-0.013703723438084126,
0.01901630125939846,
0.005816590506583452,
0.06277013570070267,
0.028297416865825653,
0.02668094076216221,
0.03865013271570206,
0.013903512619435787,
0.03102181665599346,
0.039303988218307495,
-0.017054732888936996,
-0.03683386743068695,
0.0462784469127655,
0.01359474752098322,
-0.017372580245137215,
0.009213007055222988,
0.016636991873383522,
0.020087897777557373,
-0.03438190743327141,
0.05397941172122955,
-0.017154628410935402,
0.01849866472184658,
-0.015710696578025818,
0.052635375410318375,
0.039449289441108704,
0.03539901599287987,
-0.02103235572576523,
-0.011233602650463581,
-0.023248199373483658,
-0.02224925346672535,
-0.007932540029287338,
-0.06912706792354584,
-0.02433795854449272,
-0.01676413044333458,
-0.006279738154262304,
-0.03236585110425949,
0.01692759431898594,
0.0462057963013649,
0.005226304288953543,
0.011260846629738808,
-0.04268224164843559,
0.028188440948724747,
0.004304549656808376,
-0.010561584495007992,
-0.024937326088547707,
0.04315447062253952,
0.005099165719002485,
-0.014048813842236996,
0.005834753159433603,
-0.0016618829686194658,
0.02277597039937973,
0.0033896055538207293,
0.04555194079875946,
-0.025573018938302994,
-0.007315009832382202,
-0.023248199373483658,
-0.031221605837345123,
-0.02771621197462082,
0.04406260326504707,
0.034872300922870636,
-0.024410609155893326,
-0.007605612277984619,
0.005961891729384661,
-0.003024082165211439,
0.02753458544611931,
-0.09321074932813644,
0.01385810598731041,
0.019216090440750122,
-0.01318608783185482,
-0.01265937089920044,
0.0616440549492836,
-0.037923626601696014,
-0.021795187145471573,
-0.059355560690164566,
-0.012041840702295303,
-0.027262145653367043,
-0.02346615120768547,
-0.02724398300051689,
-0.024101844057440758,
-0.022685157135128975,
0.02157723531126976,
0.023847566917538643,
-0.056413207203149796,
-0.021359283477067947,
-0.04366302490234375,
-0.0076555595733225346,
0.022903108969330788,
-0.005471500102430582,
-0.034509047865867615,
-0.0651312842965126,
-0.03581675887107849,
-0.03222054988145828,
0.012214385904371738,
0.0010256224777549505,
-0.031076304614543915,
0.0273892842233181,
0.006034542340785265,
0.0411202535033226,
-0.02737112157046795,
-0.016718724742531776,
0.05001995339989662,
-0.013603828847408295,
0.015374688431620598,
0.0004622963606379926,
-0.026571964845061302,
-0.060372669249773026,
0.029241876676678658,
-0.05565037578344345,
0.014748076908290386,
0.01318608783185482,
-0.004270494449883699,
-0.0035621507558971643,
0.014993272721767426,
-0.01062515377998352,
0.04773145914077759,
0.05408838763833046,
-0.02192232571542263,
0.048857543617486954,
0.017862971872091293,
0.03652510046958923,
0.009717021137475967,
-0.056231580674648285,
0.012105409987270832,
-0.027334796264767647,
-0.005980054382234812,
-0.01937955431640148,
-0.01259580161422491,
0.009998542256653309,
0.07163351774215698,
-0.008223142474889755,
-0.01174215693026781,
-0.0027085060719400644,
0.01867121085524559,
0.0239747054874897,
-0.06865483522415161,
0.009544475935399532,
0.0004273899830877781,
0.0023974706418812275,
-0.009144897572696209,
-0.03525371477007866,
-0.009707939811050892,
0.010516177862882614,
-0.03714263066649437,
-0.05975513905286789,
-0.014330335892736912,
-0.04217368736863136,
0.026789916679263115,
0.0007276413962244987,
0.020850729197263718,
-0.014194115065038204,
-0.060191042721271515,
-0.021958651021122932,
0.023720428347587585,
0.006615747231990099,
-0.014493799768388271,
-0.0030331634916365147,
0.0055577727034688,
-0.004256872460246086,
0.0256819948554039,
-0.02500997669994831,
-0.03390967845916748,
-0.005634963978081942,
-0.050419531762599945,
-0.06015471741557121,
-0.015819672495126724,
0.06807363033294678,
-0.01488429680466652,
0.02724398300051689,
0.021795187145471573,
-0.05456061661243439,
0.015792429447174072,
0.04028477147221565,
0.006325144786387682,
0.05772092193365097,
0.03634347394108772,
-0.019651994109153748,
-0.0014325794763863087,
-0.00029457558412104845,
0.025373229756951332,
-0.01954301819205284,
0.0024723915848881006,
-0.02620871178805828,
0.019978921860456467,
0.04293651878833771,
0.002892402932047844,
-0.035507991909980774,
-0.014666344970464706,
-0.008595476858317852,
-0.008609099313616753,
-0.05833845213055611,
-0.02228557877242565,
-0.026535639539361,
-0.010979325510561466,
-0.044752784073352814,
-0.005530528724193573,
-0.06778302788734436,
0.001747020403854549,
0.05172724276781082,
-0.002266926458105445,
0.008427471853792667,
-0.059319235384464264,
-0.01318608783185482,
0.00359847629442811,
-0.013031705282628536,
0.030041033402085304,
-0.023320849984884262,
-0.05666748434305191,
0.017072895541787148,
0.012032759375870228,
-0.025881784036755562,
-0.017508801072835922,
-0.0024792025797069073,
0.011369822546839714,
-0.03494495153427124,
0.03013184666633606,
0.02724398300051689,
-0.0064704460091888905,
0.014212277717888355,
0.009444581344723701,
-0.014602775685489178,
-0.12880955636501312,
0.012196223251521587,
-0.04464380815625191,
0.024737536907196045,
-0.03392783924937248,
0.02105051837861538,
-0.04162880778312683,
0.007464851718395948,
-0.044425856322050095,
-0.00032721160096116364,
0.02123214490711689,
0.009635289199650288,
-0.042900193482637405,
-0.03530820459127426,
0.010761373676359653,
0.012123572640120983,
-0.014530125074088573,
-0.012032759375870228,
0.01018016878515482,
-0.026844404637813568,
-0.05768459662795067,
0.015347444452345371,
-0.011433391831815243,
0.0427548922598362,
-0.0393766388297081,
-0.01695483922958374,
-0.0018185359658673406,
0.02257618121802807,
-0.0222674161195755,
0.025899946689605713,
0.05256272479891777,
0.032256875187158585,
0.03632531315088272,
0.022558018565177917,
0.013830862008035183,
-0.041338205337524414,
-0.030059196054935455,
0.005784805864095688,
0.023520639166235924,
0.02570015750825405,
-0.010089355520904064,
0.0547785684466362,
-0.00002582502565928735,
0.05437899008393288,
-0.051799893379211426,
-0.03354642540216446,
0.01608303189277649,
-0.021649885922670364,
0.027080519124865532,
0.05492386966943741,
-0.017172791063785553,
0.04747718200087547,
-0.004808563273400068,
-0.012704777531325817,
0.055868327617645264,
-0.06542188674211502,
-0.021849675104022026,
0.008441094309091568,
-0.05619525536894798,
0.046496398746967316,
0.0036143686156719923,
-0.015474583022296429,
0.009789671748876572,
-0.030386123806238174,
0.045951519161462784,
0.024719374254345894,
-0.03915868699550629,
0.004486176185309887,
0.006089030299335718,
0.0005252980627119541,
-0.01749063841998577,
-0.042718566954135895,
0.022993922233581543,
-0.05205417051911354,
0.038977060467004776,
-0.012641208246350288,
-0.006188924890011549,
-0.01259580161422491,
-0.013749130070209503,
-0.032601967453956604,
-0.03992151841521263,
-0.020687265321612358,
-0.05020157992839813,
0.018099086359143257,
-0.008491041138768196,
-0.029895732179284096,
-0.004234169144183397,
-0.0035053924657404423,
-0.012023678049445152,
0.023048410192131996,
0.04987465217709541,
-0.04925712198019028,
-0.005058299750089645,
0.006579421926289797,
-0.004175140522420406,
0.00038510505692102015,
-0.0273892842233181,
0.00018999840540345758,
0.03995784372091293,
-0.012868241406977177,
-0.012586720287799835,
0.00547604076564312,
-0.03189362213015556,
0.029550641775131226,
-0.00046626944094896317,
0.00035275283153168857,
0.013730967417359352,
0.03574410825967789,
0.006325144786387682,
-0.026662778109312057,
0.012223467230796814,
-0.006692938506603241,
0.0033464692533016205,
-0.0411565788090229,
0.02108684368431568,
-0.016546178609132767,
0.009076787158846855,
0.004234169144183397,
-0.005553232040256262,
0.02535506710410118,
-0.01710922084748745,
0.030749376863241196,
-0.04776778444647789,
-0.03116711787879467,
-0.0033441989216953516,
-0.025990759953856468,
0.021958651021122932,
-0.024265307933092117,
0.02194048836827278,
0.04566091671586037,
0.02633585035800934,
0.006184384226799011,
-0.0033283066004514694,
-0.029913894832134247,
0.019397716969251633,
0.04395362734794617,
-0.012087247334420681,
0.020324012264609337,
0.018198981881141663,
-0.020832566544413567,
0.011760319583117962,
-0.029187388718128204,
-0.010779536329209805,
0.02413816936314106,
-0.01490245945751667,
-0.036561425775289536,
0.02891494892537594,
-0.006297900807112455,
0.04776778444647789,
-0.024719374254345894,
-0.025064464658498764,
-0.00020291091641411185,
-0.016500772908329964,
-0.04780410975217819,
-0.0028469962999224663,
-0.03970356658101082,
-0.02206762693822384,
0.029859406873583794,
-0.008509203791618347,
-0.017381662502884865,
0.01762685738503933,
0.006302441470324993,
0.004972027149051428,
-0.08100544661283493,
0.000532676640432328,
-0.02074175328016281,
0.05906495824456215,
-0.01206908468157053,
-0.03710630536079407,
-0.007809942122548819,
-0.017427068203687668,
0.050419531762599945,
-0.02275780774652958,
-0.036234498023986816,
0.02844271808862686,
0.03283808007836342,
0.030440611764788628,
-0.012995379976928234,
0.0055577727034688,
-0.010761373676359653,
0.0273892842233181,
-0.017427068203687668,
-0.0021886001341044903,
-0.027316633611917496,
-0.005857456475496292,
0.016400877386331558,
0.02639033831655979,
0.0479130856692791,
0.015311119146645069,
-0.0030785701237618923,
0.027298470959067345,
0.03610736131668091,
0.05568670108914375,
-0.016001299023628235,
-0.005998217035084963,
0.024047356098890305,
0.03289256989955902,
-0.014893378131091595,
-0.025899946689605713,
0.00005392038292484358,
0.04576989263296127,
0.03163934499025345,
-0.057611946016550064,
-0.04555194079875946,
-0.010071192868053913,
0.0359257347881794,
0.019470367580652237,
-0.06618471443653107,
0.0018037788104265928,
-0.01379453670233488,
0.00624795351177454,
-0.006670235190540552,
0.020269524306058884,
-0.0299683827906847,
-0.03472699970006943,
0.01609211228787899,
-0.005712155252695084,
0.012650289572775364,
0.033292148262262344,
0.025772808119654655,
-0.029060250148177147,
0.033128682523965836,
-0.0325111523270607,
-0.03374621272087097,
-0.011042894795536995,
-0.02057828940451145,
-0.004511149600148201,
0.013040786609053612,
0.04504338651895523,
0.00013324010069482028,
0.020469313487410545,
-0.009172141551971436,
-0.004433958325535059,
0.013985244557261467,
-0.003991243429481983,
-0.05100073665380478,
-0.01748155616223812,
0.0376693494617939,
0.020523801445961,
0.021613560616970062,
0.006456824019551277,
0.012722940184175968,
0.03118528053164482,
0.005952810402959585,
0.02600892260670662,
0.03614368662238121,
-0.07090701162815094,
-0.010398120619356632,
0.000645909458398819,
0.052998628467321396,
-0.01680045574903488,
-0.029895732179284096,
-0.0031353284139186144,
0.0076555595733225346,
-0.009598963893949986,
-0.04006681963801384,
0.003450904507189989,
0.025627506896853447,
-0.000985891674645245,
0.03472699970006943,
0.02620871178805828,
-0.011842051520943642,
0.0060617863200604916,
0.019833620637655258,
-0.007006244268268347,
0.032583802938461304,
-0.02960512973368168,
0.016028543934226036,
-0.017245441675186157,
0.0019263767171651125,
-0.003986702766269445,
0.061026524752378464,
0.025899946689605713,
0.05971881374716759,
0.0034395528491586447,
0.015474583022296429,
-0.005344361532479525,
-0.04863959178328514,
0.011351659893989563,
0.025718320161104202,
-0.014294009655714035,
-0.0024406069424003363,
-0.00942641869187355,
-0.01950669288635254,
0.0496567003428936,
0.04061169922351837,
-0.04526133835315704,
0.026971543207764626,
0.000038666592445224524,
0.0012418716214597225,
0.004604233428835869,
0.026263199746608734,
-0.006892727687954903,
0.01265937089920044,
-0.004731371998786926,
0.04199206084012985,
-0.06298808753490448,
0.001320198061875999,
-0.0028969435952603817,
0.01344944629818201,
0.012432337738573551,
0.0058892411179840565,
0.04039374738931656,
-0.04660537466406822,
0.017917459830641747,
-0.0010307306656613946,
0.008341199718415737,
-0.04199206084012985,
0.0058120498433709145,
-0.015665290877223015,
-0.016537098214030266,
0.03890440985560417,
-0.010425364598631859,
-0.022485367953777313,
-0.04980200156569481,
-0.02722582034766674,
-0.009072246961295605,
0.004754075314849615,
0.0004586070717778057,
0.011342578567564487,
0.028896786272525787,
-0.028660671785473824,
-0.017163708806037903,
0.020650940015912056,
0.02909657545387745,
0.029369015246629715,
0.03832320496439934,
-0.02637217566370964,
0.025445880368351936,
-0.020160548388957977,
-0.009980379603803158,
-0.004356767050921917,
0.0032874406315386295,
0.0009802158456295729,
-0.016546178609132767,
-0.036198172718286514,
0.029895732179284096,
0.0068564023822546005,
-0.007233277894556522,
-0.0024928245693445206,
0.030440611764788628,
-0.014412067830562592,
-0.03185729682445526,
-0.0005698533495888114,
-0.05049218237400055,
-0.009635289199650288,
0.006543096620589495,
-0.01692759431898594,
0.016146600246429443,
-0.028370067477226257,
-0.04329977184534073,
0.020923379808664322,
0.023375337943434715,
0.013213331811130047,
0.05565037578344345,
-0.035362690687179565,
-0.008522826246917248,
-0.05165459215641022,
0.025772808119654655,
-0.021686211228370667,
0.018208062276244164,
-0.042210012674331665,
0.014748076908290386,
-0.01182388886809349,
0.025391392409801483,
-0.02313922345638275,
-0.04319079592823982,
-0.007383119780570269,
-0.0111155454069376,
0.00916760042309761,
0.01919792778789997,
0.003378253895789385,
-0.03459985926747322,
0.009285657666623592,
0.03231136500835419,
0.012786509469151497,
-0.02995022013783455,
-0.008827051147818565,
-0.024937326088547707,
-0.0013429013779386878,
0.020287686958909035,
-0.02395654283463955,
0.018407851457595825,
0.04566091671586037,
0.025246091187000275,
0.02054196409881115,
-0.030531425029039383,
0.03716079518198967,
-0.00025257442030124366,
-0.004647369496524334,
-0.02876964770257473,
-0.026626452803611755,
-0.04693230241537094,
0.024574073031544685,
0.01164226233959198,
-0.018035518005490303,
0.026117898523807526,
0.006570340599864721,
0.007514799013733864,
0.0444621816277504,
-0.030041033402085304,
-0.01353117823600769,
-0.014103301800787449,
0.0026267741341143847,
0.0179628673940897,
0.0005672991974279284,
-0.04228266328573227,
0.04635109752416611,
-0.008908783085644245,
-0.0325111523270607,
-0.010843105614185333,
-0.0041002193465828896,
-0.021668048575520515,
0.05285332724452019,
0.05034688115119934,
-0.009544475935399532,
0.022194765508174896,
0.013894431293010712,
-0.006538555957376957,
0.0145573690533638,
0.02175886183977127,
0.012668452225625515,
0.009989460930228233,
0.010062111541628838,
-0.009698858484625816,
0.0039980546571314335,
0.009240251034498215,
0.059355560690164566,
-0.00803697481751442,
0.028152115643024445,
0.004538393579423428,
0.03321949765086174,
-0.005762102548032999,
0.011796644888818264,
-0.010298226028680801,
0.027934163808822632,
-0.018289795145392418,
-0.011515123769640923,
0.02292127162218094,
-0.054015737026929855,
-0.027788862586021423,
0.010815861634910107,
-0.03338295966386795,
0.033328473567962646,
0.025591181591153145,
0.013231494463980198,
0.040502723306417465,
-0.03992151841521263,
0.026426663622260094,
-0.01129717193543911,
0.00624795351177454,
0.02998654544353485,
0.010007623583078384,
-0.028133952990174294,
0.011042894795536995,
0.015647128224372864,
0.018725698813796043,
0.009916810318827629,
0.03661591559648514,
0.013304145075380802,
0.021994976326823235,
0.029514316469430923,
0.009235710836946964,
-0.025972597301006317,
-0.0010324334725737572,
-0.008359362371265888,
-0.0230847354978323,
0.01765410229563713,
-0.03643428906798363,
-0.03857748210430145,
-0.0197064820677042,
-0.04471645876765251,
0.030258985236287117,
-0.006942674983292818,
-0.019216090440750122,
0.007596530951559544,
-0.028642509132623672,
-0.029223714023828506,
0.05601362884044647,
-0.01901630125939846,
-0.023556964471936226,
-0.035544317215681076,
0.025064464658498764,
0.0012804672587662935,
-0.00038453747401945293,
-0.05859272927045822,
-0.037269771099090576,
-0.005280792247503996,
0.02326636202633381,
-0.0022862243931740522,
-0.01642812229692936,
-0.02481018751859665,
0.0444621816277504,
0.014702670276165009,
-0.000060731381381629035,
-0.03321949765086174,
0.057648271322250366,
0.007137923501431942,
0.04555194079875946,
-0.003995784092694521,
-0.007546583656221628,
-0.03372805193066597,
0.026735428720712662,
0.04260959103703499,
0.021450096741318703,
-0.016037624329328537,
0.004722290672361851,
0.007660100236535072,
-0.030240822583436966,
0.0038799974136054516,
-0.00975334644317627,
-0.041192904114723206,
-0.002540501533076167,
-0.013467608951032162,
-0.00008187384810298681,
0.01257763896137476,
0.0011714913416653872,
-0.012178060598671436,
0.013730967417359352,
0.026226874440908432,
-0.011251765303313732,
0.053071279078722,
-0.002236277097836137,
-0.0066838571801781654,
-0.021504584699869156,
-0.02017871104180813,
0.04671435058116913,
0.030222659930586815,
-0.018598560243844986,
0.03547166660428047,
0.011433391831815243,
-0.07148821651935577,
0.043772000819444656,
-0.05695808678865433,
0.00864088349044323,
-0.009726102463901043,
-0.01731809228658676,
-0.030604075640439987,
0.01206908468157053,
-0.03133058175444603,
0.04882121831178665,
0.019052626565098763,
-0.021867837756872177,
0.024356121197342873,
-0.00977150909602642,
-0.046133145689964294,
0.01052525918930769
] |
In the past decade, Artificial Intelligence driven drug design and discovery
has been a hot research topic, where an important branch is molecule generation
by generative models, from GAN-based models and VAE-based models to the latest
diffusion-based models. However, most existing models pursue only the basic
properties like validity and uniqueness of the generated molecules, a few go
further to explicitly optimize one single important molecular property (e.g.
QED or PlogP), which makes most generated molecules little usefulness in
practice. In this paper, we present a novel approach to generating molecules
with desirable properties, which expands the diffusion model framework with
multiple innovative designs. The novelty is two-fold. On the one hand,
considering that the structures of molecules are complex and diverse, and
molecular properties are usually determined by some substructures (e.g.
pharmacophores), we propose to perform diffusion on two structural levels:
molecules and molecular fragments respectively, with which a mixed Gaussian
distribution is obtained for the reverse diffusion process. To get desirable
molecular fragments, we develop a novel electronic effect based fragmentation
method. On the other hand, we introduce two ways to explicitly optimize
multiple molecular properties under the diffusion model framework. First, as
potential drug molecules must be chemically valid, we optimize molecular
validity by an energy-guidance function. Second, since potential drug molecules
should be desirable in various properties, we employ a multi-objective
mechanism to optimize multiple molecular properties simultaneously. Extensive
experiments with two benchmark datasets QM9 and ZINC250k show that the
molecules generated by our proposed method have better validity, uniqueness,
novelty, Fr\'echet ChemNet Distance (FCD), QED, and PlogP than those generated
by current SOTA models. | [
-0.018748026341199875,
-0.007215934339910746,
-0.01942717283964157,
-0.005996151361614466,
0.00942762941122055,
-0.004959558602422476,
-0.06487639248371124,
0.0018665366806089878,
-0.03351053223013878,
0.024020349606871605,
-0.008274867199361324,
-0.012010174803435802,
0.02654034085571766,
-0.04067731648683548,
-0.02882799319922924,
0.05104324221611023,
-0.027934379875659943,
-0.015933141112327576,
0.005540407728403807,
-0.03917604684829712,
-0.021625462919473648,
-0.012751874513924122,
0.013895700685679913,
0.05440323054790497,
0.05401004105806351,
0.0009740394889377058,
0.021965036168694496,
0.004771899897605181,
-0.05090026557445526,
0.11552644520998001,
0.04364411532878876,
0.021804185584187508,
0.01150081492960453,
0.010491030290722847,
-0.020302914083003998,
0.004383177496492863,
0.058692578226327896,
0.050399839878082275,
0.03524414449930191,
0.04010540619492531,
0.044394753873348236,
-0.023788008838891983,
-0.01639782078564167,
0.021625462919473648,
0.0194093007594347,
-0.022054398432374,
0.011929749511182308,
-0.02049950882792473,
-0.0045686024241149426,
0.016335267573595047,
0.003523073857650161,
-0.015352291986346245,
0.011482941918075085,
-0.019909724593162537,
-0.029471395537257195,
0.03442201763391495,
0.01942717283964157,
0.059836406260728836,
0.05930023640394211,
0.014047615230083466,
0.0014733463758602738,
-0.029900331050157547,
-0.024824602529406548,
-0.006215086672455072,
0.00942762941122055,
0.00016978669737000018,
-0.005598492920398712,
-0.02562885545194149,
0.002528928220272064,
0.03547648340463638,
-0.03502967581152916,
0.032098621129989624,
0.004342964850366116,
0.008672526106238365,
-0.029346289113163948,
-0.03981944918632507,
0.02696927636861801,
0.03331393748521805,
-0.006661893799901009,
-0.02616502344608307,
0.032509684562683105,
0.04714708402752876,
-0.011992302723228931,
0.006331256590783596,
0.03202713280916214,
-0.023037374019622803,
0.048862822353839874,
-0.04729006439447403,
0.015021654777228832,
-0.0290067158639431,
-0.03252755478024483,
0.011107624508440495,
-0.008623376488685608,
-0.0016107396222651005,
-0.017255689948797226,
0.03166968747973442,
0.04067731648683548,
0.015298674814403057,
-0.02187567576766014,
0.005392961669713259,
0.0021335037890821695,
-0.03633435443043709,
0.031187135726213455,
0.04818367585539818,
-0.02091057226061821,
-0.05336663872003555,
0.02452077344059944,
0.027594806626439095,
0.0031723303254693747,
0.09915543347597122,
0.010026351548731327,
0.013109319843351841,
-0.00188552588224411,
0.04196412116289139,
-0.021410996094346046,
-0.014905484393239021,
-0.06973765045404434,
-0.04954196885228157,
0.001837494201026857,
-0.0641615018248558,
0.028881611302495003,
0.013377404771745205,
-0.04014115035533905,
-0.028685014694929123,
-0.027809273451566696,
0.05036409571766853,
-0.023627158254384995,
-0.04107050970196724,
0.017103776335716248,
0.029096078127622604,
-0.07570699602365494,
0.010214010253548622,
-0.01844419725239277,
0.06959467381238937,
0.022519078105688095,
0.015352291986346245,
0.02278716117143631,
-0.004789771977812052,
-0.08228399604558945,
-0.0139493178576231,
0.02221524901688099,
-0.05014962702989578,
-0.03261691704392433,
-0.031115645542740822,
0.020249297842383385,
-0.01713952049612999,
-0.02845267578959465,
0.07206104695796967,
0.026897786185145378,
0.008793163113296032,
-0.08628738671541214,
0.017425477504730225,
0.01488761231303215,
-0.02466375194489956,
-0.026254383847117424,
0.048862822353839874,
-0.0009321512770839036,
-0.00856082420796156,
0.056619394570589066,
-0.08928992599248886,
0.05032835155725479,
-0.03477946296334267,
0.03917604684829712,
0.04628921300172806,
0.0493989922106266,
0.02428843267261982,
-0.009713586419820786,
0.0024261625949293375,
-0.07534954696893692,
0.0410347618162632,
0.031955644488334656,
0.03206287696957588,
0.005071260500699282,
0.00011212065146537498,
-0.04503815621137619,
0.020231425762176514,
0.036262862384319305,
0.01581697165966034,
-0.005875513423234224,
0.004048072267323732,
-0.03331393748521805,
0.01580803468823433,
0.04006965830922127,
0.02144674025475979,
0.0553683340549469,
0.05533258989453316,
0.08299888670444489,
-0.013842083513736725,
0.04242880269885063,
0.05311642587184906,
-0.00692550977692008,
0.010580391623079777,
0.07091721892356873,
-0.025664599612355232,
0.025682471692562103,
-0.012608896009624004,
-0.020463764667510986,
-0.0018207388930022717,
-0.056583650410175323,
-0.029096078127622604,
-0.03688839450478554,
-0.031115645542740822,
0.026647575199604034,
0.00836869701743126,
0.04317943751811981,
0.03939051181077957,
-0.009865500964224339,
0.010491030290722847,
0.020016957074403763,
-0.017979517579078674,
0.019355682656168938,
-0.011357836425304413,
-0.04768325388431549,
-0.06712830066680908,
0.027022892609238625,
-0.014744633808732033,
-0.027237359434366226,
0.011545495130121708,
-0.01957015134394169,
-0.031151389703154564,
-0.06498362123966217,
0.0005936949164606631,
0.06627042591571808,
-0.012903789058327675,
0.02654034085571766,
0.007202530279755592,
0.007291891612112522,
0.05029260739684105,
-0.040784552693367004,
0.00961528904736042,
0.01617441698908806,
0.025110557675361633,
-0.0027098851278424263,
0.008324015885591507,
0.0255931094288826,
-0.0030025437008589506,
-0.0004476448521018028,
-0.011724217794835567,
0.03592329099774361,
0.009195289574563503,
-0.023269712924957275,
0.00028428100631572306,
-0.04107050970196724,
-0.024199072271585464,
0.07356231659650803,
0.02805948629975319,
-0.009597416035830975,
0.07913847267627716,
0.07692231237888336,
0.06659212708473206,
0.03034713678061962,
-0.05261600390076637,
-0.005911258049309254,
0.005357217043638229,
-0.034010954201221466,
-0.005191898439079523,
0.03640584275126457,
-0.07030956447124481,
-0.03368925303220749,
-0.09558097273111343,
0.040212638676166534,
-0.009266778826713562,
0.0036102014128118753,
0.030472243204712868,
-0.03953349217772484,
-0.028148846700787544,
0.0485411211848259,
0.02788076177239418,
0.045145388692617416,
0.04464496299624443,
-0.030222032219171524,
-0.01899823732674122,
-0.025557365268468857,
0.01771143265068531,
-0.01791696436703205,
-0.051936857402324677,
0.035119038075208664,
0.006594872567802668,
0.07799464464187622,
-0.026647575199604034,
-0.00032086335704661906,
-0.020785465836524963,
-0.005576152354478836,
0.01224251464009285,
0.007189126219600439,
-0.04864835739135742,
-0.015352291986346245,
-0.02807735837996006,
-0.07899549603462219,
0.011134432628750801,
0.008958482183516026,
-0.01534335594624281,
-0.05583301559090614,
-0.03074032813310623,
0.023859499022364616,
0.016522925347089767,
-0.03856838867068291,
-0.021250145509839058,
0.016362076625227928,
-0.018015261739492416,
-0.10651881247758865,
0.0026987148448824883,
0.039426255971193314,
0.033045850694179535,
0.005701258312910795,
-0.0030516923870891333,
0.0458960235118866,
0.0772082656621933,
0.00022815086413174868,
-0.006125725340098143,
0.03283138573169708,
-0.01291272509843111,
-0.0005685620126314461,
-0.01923057809472084,
0.025968428701162338,
-0.008466994389891624,
0.048898566514253616,
-0.09400821477174759,
-0.003205840941518545,
-0.012126344256103039,
-0.021178655326366425,
-0.02239397168159485,
-0.07935293763875961,
-0.024788858368992805,
-0.029078206047415733,
0.014020806178450584,
0.0042469012551009655,
0.03283138573169708,
-0.03206287696957588,
0.029060333967208862,
-0.016326330602169037,
-0.057584498077631,
-0.05787045508623123,
-0.0028685014694929123,
-0.03554797172546387,
-0.03145521879196167,
-0.015602503903210163,
0.050578564405441284,
-0.0215003564953804,
-0.0022843012120574713,
0.02486034668982029,
-0.0029578630346804857,
-0.03467223048210144,
0.02979309670627117,
0.017952708527445793,
-0.06105172261595726,
-0.001943610841408372,
0.08564398437738419,
0.03678115829825401,
-0.004883601330220699,
0.001027656369842589,
-0.026039917021989822,
-0.0467538945376873,
0.028113102540373802,
0.005678918212652206,
-0.010580391623079777,
0.04464496299624443,
-0.030579477548599243,
-0.0013326021144166589,
0.014405060559511185,
-0.012403365224599838,
-0.03245606645941734,
-0.0021915887482464314,
0.003759881714358926,
-0.08914694935083389,
0.03914030268788338,
-0.036244992166757584,
0.014333571307361126,
0.006894233636558056,
-0.00743487011641264,
0.03252755478024483,
0.043787095695734024,
-0.021357379853725433,
0.06448320299386978,
-0.022000780329108238,
0.004713814705610275,
-0.021393124014139175,
0.0158259067684412,
-0.04203560948371887,
0.031222879886627197,
0.007993378676474094,
0.015906332060694695,
-0.04225007817149162,
0.018202921375632286,
-0.020410148426890373,
-0.0028081825003027916,
-0.004251369275152683,
-0.015548886731266975,
-0.009525926783680916,
0.006228490732610226,
0.007077424321323633,
-0.039283279329538345,
-0.00877082347869873,
-0.025342898443341255,
0.018891002982854843,
-0.018801642581820488,
0.03393946588039398,
-0.021768441423773766,
0.03601265326142311,
0.009266778826713562,
-0.016683775931596756,
0.009820819832384586,
-0.019856106489896774,
0.02092844434082508,
-0.007618060801178217,
0.019176959991455078,
-0.025325026363134384,
-0.0538313202559948,
0.010222946293652058,
-0.036423712968826294,
-0.025557365268468857,
-0.04725431650876999,
0.017997389659285545,
0.012305066920816898,
0.009356140159070492,
0.009418693371117115,
-0.01329697947949171,
0.013824211433529854,
0.0290067158639431,
0.013913572765886784,
0.04464496299624443,
0.006451894529163837,
0.04603900387883186,
0.020481636747717857,
-0.0346364863216877,
0.017845476046204567,
0.0357445664703846,
-0.021911419928073883,
-0.0074974228627979755,
-0.03688839450478554,
0.0011996770044788718,
0.011983365751802921,
0.0057057267986238,
-0.09407970309257507,
-0.05583301559090614,
-0.015352291986346245,
-0.029507139697670937,
0.0010594913037493825,
-0.0036548820789903402,
-0.000033877055102493614,
0.015691865235567093,
0.006224022712558508,
-0.035136908292770386,
-0.020606743171811104,
-0.043250925838947296,
-0.005790620110929012,
-0.05390280857682228,
-0.0297752246260643,
-0.06044406443834305,
-0.04561006650328636,
0.009963798336684704,
0.08328483998775482,
-0.0842856913805008,
-0.0349760577082634,
0.0606585294008255,
0.004829984623938799,
-0.007671677973121405,
0.021571846678853035,
0.07327636331319809,
-0.042285822331905365,
0.01694292575120926,
-0.011456133797764778,
0.0022787160705775023,
-0.009114864282310009,
-0.015691865235567093,
0.02973948046565056,
-0.020803337916731834,
-0.025896938517689705,
0.006215086672455072,
0.012036982923746109,
0.036816906183958054,
0.021214401349425316,
-0.005281259771436453,
-0.025843322277069092,
0.023805882781744003,
0.007166785653680563,
0.01923057809472084,
-0.06795042008161545,
0.04989941418170929,
0.013216554187238216,
0.0188552588224411,
-0.023108862340450287,
0.012510598637163639,
-0.01731824316084385,
-0.009436565451323986,
0.02788076177239418,
0.07470614463090897,
0.006652957759797573,
0.03713860735297203,
0.025843322277069092,
-0.01620122604072094,
-0.025521621108055115,
-0.030400754883885384,
0.015298674814403057,
0.028595654293894768,
-0.024234816431999207,
0.014494421891868114,
-0.019355682656168938,
0.05461769923567772,
0.050757285207509995,
0.039676468819379807,
-0.0725972130894661,
-0.008493802510201931,
0.012653577141463757,
0.02185780368745327,
-0.0077163586392998695,
0.004023497924208641,
0.0018319090595468879,
-0.022697800770401955,
-0.017568454146385193,
-0.005571684334427118,
0.004092752933502197,
-0.0458960235118866,
-0.030633093789219856,
-0.005138281732797623,
0.029346289113163948,
-0.023805882781744003,
-0.00988337304443121,
0.02561098337173462,
0.029060333967208862,
0.028345441445708275,
-0.01421740185469389,
-0.018730152398347855,
0.04335816204547882,
-0.055082377046346664,
0.028702886775135994,
0.01579909957945347,
-0.030186288058757782,
0.07002361118793488,
0.008940610103309155,
-0.06033682823181152,
0.04053433984518051,
0.019999084994196892,
-0.03166968747973442,
-0.01214421633630991,
0.01178677100688219,
-0.007676145993173122,
-0.03863987699151039,
-0.004072646610438824,
0.015522078610956669,
0.025378642603754997,
0.03874710947275162,
-0.03792498633265495,
0.01159017626196146,
0.008306143805384636,
0.01881951466202736,
0.03749605268239975,
-0.05325940623879433,
-0.031741175800561905,
0.0347258485853672,
0.004273709841072559,
-0.0013482404174283147,
0.009624225087463856,
-0.0035431801807135344,
-0.016049310564994812,
-0.043250925838947296,
-0.003056160407140851,
-0.04922026768326759,
-0.040570084005594254,
-0.04317943751811981,
0.011545495130121708,
0.008127421140670776,
-0.014494421891868114,
-0.013618679717183113,
0.0033532872330397367,
-0.015146760269999504,
0.021214401349425316,
0.05165090039372444,
-0.011143368668854237,
0.04160667583346367,
-0.004584240727126598,
-0.023216096684336662,
-0.023662904277443886,
0.0052455151453614235,
0.0017559519037604332,
-0.0004951180890202522,
0.0023300989996641874,
-0.01280549168586731,
0.002390417968854308,
-0.0014409528812393546,
0.027755657210946083,
-0.04460921883583069,
-0.008350824937224388,
0.024556517601013184,
0.03124075196683407,
-0.00404583802446723,
-0.003712967038154602,
-0.04975643754005432,
-0.07113169133663177,
-0.017666751518845558,
0.0045216879807412624,
0.059443216770887375,
0.009677841328084469,
-0.012519534677267075,
-0.033224575221538544,
-0.01673739403486252,
0.024717368185520172,
0.002712119137868285,
0.03190202638506889,
-0.06659212708473206,
-0.04242880269885063,
0.02148248441517353,
0.025843322277069092,
-0.039497748017311096,
-0.05826364457607269,
0.03367138281464577,
0.01867653615772724,
0.04010540619492531,
0.003715201048180461,
-0.025521621108055115,
0.006509979255497456,
0.005317004397511482,
-0.011134432628750801,
-0.03283138573169708,
0.029310544952750206,
0.03358202055096626,
0.02221524901688099,
-0.005964874755591154,
-0.023877371102571487,
-0.019159087911248207,
-0.00452615600079298,
-0.045324113219976425,
0.06694957613945007,
-0.010044223628938198,
0.0194093007594347,
0.033832233399152756,
-0.02634374611079693,
-0.0034448825754225254,
-0.00593806616961956,
-0.009391885250806808,
-0.03917604684829712,
0.012546342797577381,
-0.0557972714304924,
-0.022930139675736427,
0.04353688284754753,
-0.00940975733101368,
0.002700948854908347,
0.028309697285294533,
0.030954794958233833,
0.02201865427196026,
-0.05047132819890976,
0.02941777929663658,
-0.006612745113670826,
0.0007120987866073847,
-0.00886018481105566,
0.014110167510807514,
0.02768416702747345,
0.013770594261586666,
0.054153017699718475,
0.0467538945376873,
0.006894233636558056,
0.02505694143474102,
0.024073965847492218,
0.04671815037727356,
0.0017213242826983333,
-0.01616548001766205,
-0.017425477504730225,
0.017416540533304214,
0.05729854106903076,
0.02130376175045967,
0.00711763696745038,
0.020070575177669525,
-0.03197351470589638,
0.01619228906929493,
-0.021178655326366425,
-0.0007902900688350201,
0.010106776840984821,
0.021393124014139175,
0.0037621157243847847,
0.012278258800506592,
-0.00847593042999506,
-0.03556584566831589,
-0.039426255971193314,
0.0447879433631897,
0.04628921300172806,
-0.014101231470704079,
0.007055083755403757,
0.024985453113913536,
-0.022143758833408356,
-0.0421428456902504,
-0.026683319360017776,
-0.003391265869140625,
-0.0383896641433239,
0.0028483951464295387,
-0.02545013278722763,
0.0032415855675935745,
-0.01828334666788578,
0.023877371102571487,
-0.008359760977327824,
0.019516533240675926,
-0.0003828578337561339,
-0.023680776357650757,
-0.003424776252359152,
0.027183743193745613,
-0.015003781765699387,
0.020034829154610634,
-0.032688405364751816,
-0.01044635009020567,
-0.024038221687078476,
-0.0173629242926836,
0.049077291041612625,
0.027273105457425117,
-0.006183810066431761,
-0.02201865427196026,
0.0005719130858778954,
-0.029274800792336464,
0.014199529774487019,
-0.016076119616627693,
-0.036280736327171326,
-0.012975278310477734,
0.013314851559698582,
0.05933598056435585,
-0.024592261761426926,
0.01830121874809265,
-0.003391265869140625,
-0.007425934076309204,
-0.009016566909849644,
-0.00428041210398078,
-0.003489563474431634,
0.02337694726884365,
0.003616903442889452,
-0.0006082161562517285,
0.02507481351494789,
-0.08421420305967331,
0.04582453519105911,
0.02768416702747345,
0.003920732066035271,
-0.0012789852917194366,
0.015030590817332268,
0.0027344594709575176,
0.014548039063811302,
-0.004687006585299969,
-0.04836240038275719,
0.01923057809472084,
-0.050757285207509995,
0.015414844267070293,
-0.017264626920223236,
0.03763902932405472,
0.009552735835313797,
-0.035708822309970856,
0.022840779274702072,
-0.004267007578164339,
0.037746261805295944,
0.022483332082629204,
-0.027612678706645966,
0.02827395312488079,
-0.027201615273952484,
0.0076314653269946575,
-0.010634008795022964,
0.014574847184121609,
0.04975643754005432,
0.002888607792556286,
0.03408244624733925,
-0.013037830591201782,
-0.011000390164554119,
0.019516533240675926,
0.03806796297430992,
0.019445044919848442,
0.005017643794417381,
-0.030865434557199478,
-0.013779530301690102,
0.01753270998597145,
0.0212858896702528,
0.040248382836580276,
0.024806730449199677,
-0.00214020605199039,
-0.04879133403301239,
-0.023645032197237015,
-0.02201865427196026,
-0.00013474025763571262,
0.01901610940694809,
-0.02521779201924801,
0.02410971000790596,
-0.047433041036129,
0.021786313503980637,
-0.01327017042785883,
-0.01829228177666664,
-0.027362465858459473,
-0.017666751518845558,
0.08221250772476196,
-0.02314460650086403,
-0.016433564946055412,
0.032313089817762375,
0.02752331644296646,
-0.012224641628563404,
-0.0068763610906898975,
0.009101460687816143,
-0.008511675521731377,
0.01347570214420557,
-0.016245905309915543,
-0.025950556620955467,
-0.018140368163585663,
0.02015993557870388,
0.004530624020844698,
0.011992302723228931,
0.0421428456902504,
-0.008596568368375301,
0.01789909228682518,
0.005839768797159195,
-0.03763902932405472,
0.019105471670627594,
0.0030874370131641626,
-0.0008662472246214747,
0.04882707819342613,
-0.05250876769423485,
-0.043608371168375015,
-0.04596751183271408,
0.006474234629422426,
0.03183053806424141,
0.008256995119154453,
0.01601356640458107,
0.0017682390753179789,
0.021929292008280754,
0.017782922834157944,
0.0106429448351264,
-0.010589327663183212,
-0.020481636747717857,
-0.007037211675196886,
-0.03996242582798004,
-0.029650118201971054,
-0.026111407205462456,
-0.020767593756318092,
0.029846712946891785,
0.038925834000110626,
-0.024806730449199677,
-0.032688405364751816,
0.022268865257501602,
-0.002772438107058406,
0.012072728015482426,
0.006487639155238867,
0.03140160068869591,
-0.013493574224412441,
-0.03763902932405472,
0.017184201627969742,
-0.04732580855488777,
0.034028828144073486,
0.020302914083003998,
0.005710194818675518,
0.026075661182403564,
0.015879524871706963,
-0.03595903515815735,
0.017631007358431816,
-0.03240245208144188,
-0.03177691996097565,
-0.011232730001211166,
-0.002446268917992711,
-0.028488419950008392,
0.01617441698908806,
-0.01899823732674122,
0.01980249024927616,
-0.004588708747178316,
-0.051329199224710464,
0.0327598974108696,
0.0017939304234459996,
0.0015314313350245357,
0.023251840844750404,
0.02618289552628994,
0.0039296685717999935,
-0.03477946296334267,
-0.03597690537571907,
0.017023351043462753,
0.006786999758332968,
-0.0013851019321009517,
0.005004239268600941,
0.02823820896446705,
-0.004360837396234274,
-0.022930139675736427,
-0.05125771090388298,
-0.028774376958608627,
-0.05390280857682228,
-0.003080734983086586,
0.015441653318703175,
-0.031008413061499596,
0.03091905079782009,
0.020982060581445694,
0.012278258800506592,
0.017747176811099052,
-0.012358684092760086,
-0.006420617923140526,
-0.02182205766439438,
0.02148248441517353,
-0.022858651354908943,
0.004910409916192293,
-0.01998121291399002,
0.030239904299378395,
-0.03302798047661781,
-0.006161469966173172,
-0.011331028304994106,
-0.014369316399097443,
-0.03753179684281349,
-0.026450980454683304,
0.02582545019686222,
-0.03109777346253395,
0.01604037545621395,
0.03427904099225998,
-0.004130731336772442,
0.013145064935088158,
-0.013261234387755394,
-0.006089980714023113,
-0.02262631058692932,
0.017014414072036743,
-0.017425477504730225,
-0.012939533218741417,
0.005151685792952776,
0.015959950163960457,
-0.03538712114095688,
0.02618289552628994,
-0.043072205036878586,
0.018140368163585663,
0.0229480117559433,
-0.0005607429193332791,
0.00010604687122395262,
0.005249983165413141,
0.0114114535972476,
0.018024198710918427,
0.05497514456510544,
0.03595903515815735,
0.031741175800561905,
0.033260319381952286,
-0.0073946574702858925,
-0.01830121874809265,
0.026987148448824883,
-0.005772747565060854,
0.035708822309970856,
-0.029239056631922722,
0.021375251933932304,
-0.010383796878159046,
0.03585180267691612,
0.004731687251478434,
0.023609286174178123,
0.010794859379529953,
0.01654973439872265,
0.03424329683184624,
0.0237165205180645,
0.031222879886627197,
-0.03649520501494408,
-0.01846206933259964,
-0.039998169988393784,
0.013109319843351841,
0.0010578157380223274,
-0.03688839450478554,
0.04485943168401718,
-0.029256928712129593,
0.036638181656599045,
0.010919964872300625,
-0.03874710947275162,
0.030865434557199478,
0.059085771441459656,
-0.008609972894191742,
0.01790802739560604,
-0.031919900327920914,
0.017836539074778557,
0.00896295066922903,
0.0026383958756923676,
-0.015379100106656551,
0.018015261739492416,
-0.0018196218879893422,
0.03217010945081711,
0.024931835010647774,
0.023502053692936897,
0.023645032197237015,
0.01696973294019699,
-0.05386706441640854,
-0.021035678684711456,
-0.01919483207166195,
-0.004541794303804636,
-0.015057398937642574,
0.0020586636383086443,
-0.07073850184679031,
-0.01618335209786892,
-0.02053525485098362,
-0.07377678900957108,
-0.0069612544029951096,
0.03846115618944168,
0.02167908102273941,
-0.023609286174178123,
0.03594116121530533,
0.00999060645699501,
-0.027398210018873215,
-0.03036501072347164,
0.032098621129989624,
-0.009936989285051823,
0.02207227051258087,
-0.012957405298948288,
-0.01046422217041254,
-0.0320807509124279,
0.0026897788047790527,
-0.021357379853725433,
-0.05293770506978035,
0.01527186669409275,
0.020839082077145576,
-0.015763353556394577,
0.007899549789726734,
-0.03256330266594887,
-0.042500291019678116,
-0.002676374511793256,
0.012358684092760086,
0.004443496465682983,
0.015915269032120705,
0.015915269032120705,
-0.0032170109916478395,
-0.05218706652522087,
-0.021142911165952682,
0.06248150393366814,
0.057334285229444504,
0.028309697285294533,
0.028506292030215263,
0.028899483382701874,
-0.021196529269218445,
0.0010823901975527406,
0.014842931181192398,
-0.01752377487719059,
0.0006277639768086374,
0.025342898443341255,
-0.0244850292801857,
-0.018033133819699287,
-0.09651032835245132,
0.008408909663558006,
-0.007014871574938297,
-0.03508329391479492,
0.08035378903150558,
-0.038532644510269165,
-0.034028828144073486,
-0.016522925347089767
] |
Artificial intelligence (AI) methods have become critical in scientific
applications to help accelerate scientific discovery. Large language models
(LLMs) are being considered as a promising approach to address some of the
challenging problems because of their superior generalization capabilities
across domains. The effectiveness of the models and the accuracy of the
applications is contingent upon their efficient execution on the underlying
hardware infrastructure. Specialized AI accelerator hardware systems have
recently become available for accelerating AI applications. However, the
comparative performance of these AI accelerators on large language models has
not been previously studied. In this paper, we systematically study LLMs on
multiple AI accelerators and GPUs and evaluate their performance
characteristics for these models. We evaluate these systems with (i) a
micro-benchmark using a core transformer block, (ii) a GPT- 2 model, and (iii)
an LLM-driven science use case, GenSLM. We present our findings and analyses of
the models' performance to better understand the intrinsic capabilities of AI
accelerators. Furthermore, our analysis takes into account key factors such as
sequence lengths, scaling behavior, sparsity, and sensitivity to gradient
accumulation steps. | [
-0.016722029075026512,
0.021858979016542435,
-0.03251006826758385,
0.012572954408824444,
0.02329588681459427,
-0.0028042178601026535,
-0.0021183183416724205,
0.009474619291722775,
-0.006546916905790567,
0.0572967492043972,
-0.005680281203240156,
0.02458910644054413,
0.044220875948667526,
-0.0071845450438559055,
-0.026906121522188187,
0.04709469527006149,
0.004427475854754448,
-0.02523571439087391,
0.011486291885375977,
-0.011064199730753899,
-0.01500671822577715,
-0.0019757498521357775,
-0.025217752903699875,
0.006775924004614353,
0.03346201777458191,
0.007736857049167156,
-0.011486291885375977,
0.008504705503582954,
-0.04023345187306404,
0.016290955245494843,
-0.011845518834888935,
-0.0011843274114653468,
-0.013390195555984974,
-0.05000443384051323,
-0.03606641665101051,
-0.051189884543418884,
0.07651540637016296,
0.010633126832544804,
-0.03786255419254303,
0.0003460368898231536,
0.01443195529282093,
0.016183188185095787,
-0.03944315388798714,
-0.005190833937376738,
-0.00844633113592863,
-0.041634440422058105,
-0.028576528653502464,
-0.0335877500474453,
0.017647039145231247,
-0.0264930110424757,
0.01696450635790825,
0.0002841543755494058,
0.04605293273925781,
-0.019955074414610863,
0.005271660163998604,
0.0218410175293684,
0.025918247178196907,
0.05417146906256676,
0.05665013939142227,
0.021733248606324196,
-0.025523096323013306,
-0.016919603571295738,
-0.030426548793911934,
-0.008756164461374283,
-0.004241126589477062,
-0.024229878559708595,
-0.02322404272854328,
0.055033616721630096,
0.043789803981781006,
0.0022384347394108772,
-0.047022849321365356,
-0.021266253665089607,
-0.01033676415681839,
-0.004957336001098156,
-0.025900285691022873,
-0.0339290127158165,
0.026726508513092995,
0.02480464242398739,
0.015797019004821777,
-0.020080802962183952,
0.04454417899250984,
0.048387911170721054,
-0.02088906429708004,
0.0005177924176678061,
0.08319703489542007,
0.028307108208537102,
-0.01869777962565422,
-0.04001791775226593,
-0.011100122705101967,
-0.002402332378551364,
-0.028630413115024567,
0.05542876571416855,
-0.01744048297405243,
-0.007813192903995514,
-0.02670854702591896,
0.009101920761168003,
-0.05284233018755913,
-0.02205655351281166,
-0.027373116463422775,
-0.004398288670927286,
-0.03321056067943573,
-0.017763787880539894,
0.03567126765847206,
0.006264025345444679,
0.008491233922541142,
-0.07687463611364365,
-0.03031877987086773,
-0.00522226607427001,
0.01726984977722168,
0.1365063637495041,
-0.02812749333679676,
-0.07680279016494751,
-0.016847757622599602,
-0.049896664917469025,
-0.006205650977790356,
-0.009941614232957363,
-0.03894023597240448,
-0.03660525754094124,
0.022559471428394318,
-0.02489444985985756,
0.029600325971841812,
0.03261783346533775,
0.03829362615942955,
-0.017952382564544678,
-0.027678459882736206,
0.10108654946088791,
-0.002629094524309039,
-0.04109559953212738,
-0.011755712330341339,
-0.0017792974831536412,
0.005289621185511351,
0.026331357657909393,
-0.040377143770456314,
0.015105506405234337,
0.003888634964823723,
-0.02079925872385502,
0.037287790328264236,
0.04569370672106743,
0.009025584906339645,
-0.040377143770456314,
-0.032887253910303116,
-0.03502465784549713,
0.006120334379374981,
-0.03825770318508148,
-0.00797035451978445,
-0.0011517724487930536,
-0.029797900468111038,
0.08377179503440857,
0.004723838530480862,
-0.010776817798614502,
-0.012294553220272064,
0.032025109976530075,
0.0029389280825853348,
0.012177804484963417,
0.004573412239551544,
-0.01318364031612873,
0.007597656454890966,
0.041239287704229355,
-0.006771433632820845,
0.028414875268936157,
0.026331357657909393,
-0.038868390023708344,
0.01531206164509058,
0.01814097724854946,
0.04109559953212738,
0.0364256426692009,
0.04616070166230202,
0.04105967655777931,
-0.10510989278554916,
0.051800571382045746,
0.020314302295446396,
0.039910148829221725,
-0.01882350817322731,
-0.012617857195436954,
0.0018926785560324788,
0.032977063208818436,
0.0013134246692061424,
0.022433742880821228,
-0.011953286826610565,
0.05104619264602661,
-0.012572954408824444,
0.011010315269231796,
0.009887730702757835,
0.016138285398483276,
0.015841921791434288,
-0.0078580966219306,
0.037144098430871964,
0.045550014823675156,
-0.00609339214861393,
0.05438700690865517,
0.015294100157916546,
-0.048998598009347916,
0.021356061100959778,
-0.05474623292684555,
-0.009573406539857388,
-0.018805546686053276,
-0.021571597084403038,
-0.011953286826610565,
0.02985178492963314,
-0.0016322388546541333,
-0.005532099865376949,
-0.020781297236680984,
-0.00377413141541183,
0.022595394402742386,
0.030228974297642708,
-0.028199339285492897,
0.01688368059694767,
-0.006605291273444891,
-0.010453512892127037,
0.0032936648931354284,
0.00030309800058603287,
-0.025271637365221977,
-0.060457948595285416,
-0.0663851946592331,
0.019272541627287865,
0.004494830965995789,
0.011737750843167305,
0.026995928958058357,
-0.021553635597229004,
-0.0005287376116029918,
0.0029748508241027594,
0.0016434646677225828,
0.05255494639277458,
-0.05338117107748985,
-0.010202053934335709,
-0.05471030995249748,
-0.01641668565571308,
-0.033533863723278046,
0.017638057470321655,
0.0016232581110671163,
0.0037516795564442873,
0.026636701077222824,
0.008994152769446373,
-0.010372687131166458,
0.01766500063240528,
-0.023403655737638474,
0.04472379386425018,
-0.005285130813717842,
-0.032114915549755096,
0.016910623759031296,
-0.0006409961497411132,
0.0022799705620855093,
-0.003345303935930133,
-0.05295009911060333,
0.04698692634701729,
-0.044220875948667526,
0.009627290070056915,
0.016102362424135208,
0.0087651452049613,
0.01296810433268547,
-0.002200267044827342,
-0.01356980949640274,
-0.033012986183166504,
0.019955074414610863,
-0.047920916229486465,
0.00018522655591368675,
0.039083924144506454,
-0.04246066138148308,
-0.01550963707268238,
-0.005280640907585621,
0.0808979794383049,
-0.00820834282785654,
-0.007166583556681871,
0.05611129850149155,
-0.06645704060792923,
0.008006277494132519,
0.05779966711997986,
0.00956442579627037,
-0.0026246041525155306,
0.003868428524583578,
-0.029277021065354347,
-0.03475523740053177,
-0.058518119156360626,
0.0006258412613533437,
-0.04393349215388298,
-0.026636701077222824,
-0.04120336472988129,
0.010103266686201096,
0.0693308636546135,
0.02464298903942108,
0.010175111703574657,
-0.03644360601902008,
0.016479549929499626,
0.005478215869516134,
-0.01783563382923603,
-0.07637171447277069,
-0.009483600035309792,
-0.030336741358041763,
-0.03678487241268158,
0.005532099865376949,
-0.03678487241268158,
0.020350223407149315,
-0.00629994785413146,
0.04321504011750221,
0.0074494751170277596,
-0.011360562406480312,
-0.02322404272854328,
-0.006003585644066334,
0.034611545503139496,
-0.016560375690460205,
-0.01882350817322731,
0.018105054274201393,
0.022631317377090454,
-0.017323734238743782,
-0.017296792939305305,
-0.016075419262051582,
-0.015823960304260254,
0.05370447412133217,
0.00316569022834301,
0.0018893108936026692,
0.045334480702877045,
-0.00643914844840765,
-0.004198468755930662,
-0.01044453214854002,
0.02757069282233715,
0.07220467925071716,
0.006605291273444891,
-0.019236620515584946,
-0.008661867119371891,
-0.011046238243579865,
0.07317459583282471,
-0.01343509927392006,
-0.1500132977962494,
0.04224512726068497,
-0.011980229057371616,
-0.010049382224678993,
-0.00820834282785654,
0.0005685893702320755,
-0.05905696004629135,
-0.011827557347714901,
-0.06272108107805252,
-0.024193955585360527,
-0.07137845456600189,
-0.00573865557089448,
0.008396937511861324,
-0.013390195555984974,
-0.03911984711885452,
0.012779509648680687,
-0.050076279789209366,
-0.012177804484963417,
-0.01955992355942726,
-0.04889082908630371,
-0.020781297236680984,
0.006969008594751358,
-0.03640768304467201,
-0.05557245761156082,
-0.0637628361582756,
0.019883228465914726,
-0.0357431136071682,
-0.035563498735427856,
0.0010675785597413778,
-0.012572954408824444,
0.03277948871254921,
-0.016344839707016945,
0.012635818682610989,
-0.04353834316134453,
-0.020224494859576225,
-0.01602153480052948,
-0.008019748143851757,
0.005316563416272402,
0.02088906429708004,
-0.06986970454454422,
-0.024912409484386444,
-0.000029222295779618435,
-0.06182301044464111,
-0.029474595561623573,
-0.03854508325457573,
-0.02415803261101246,
-0.025576980784535408,
0.011621002107858658,
-0.0035428788978606462,
0.03218676149845123,
0.031683843582868576,
0.0028581018559634686,
0.02011672593653202,
-0.004193978384137154,
0.03450377658009529,
-0.017108198255300522,
0.0141266118735075,
0.04174220561981201,
-0.02455318346619606,
0.0443645678460598,
0.02325996570289135,
0.04001791775226593,
-0.007889528758823872,
-0.00458912830799818,
0.04461602494120598,
-0.03319259732961655,
-0.010220015421509743,
0.06825318187475204,
0.019182736054062843,
-0.03958684206008911,
0.002844630740582943,
-0.077377550303936,
0.006829808000475168,
0.018158938735723495,
0.003969461191445589,
-0.04062860459089279,
0.02988770790398121,
0.01632687821984291,
-0.03130665421485901,
0.04303542524576187,
-0.003908841405063868,
-0.0005988992052152753,
-0.05402778089046478,
-0.004508302081376314,
-0.00824875570833683,
-0.020871102809906006,
0.0307498537003994,
-0.044903408735990524,
0.011638963595032692,
-0.014530742540955544,
-0.03428824245929718,
-0.0407363697886467,
0.025684749707579613,
-0.02193082496523857,
-0.02945663593709469,
-0.0007308029453270137,
-0.024265801534056664,
-0.039910148829221725,
-0.02696000598371029,
0.03854508325457573,
0.03087558224797249,
-0.02773234434425831,
0.011459349654614925,
-0.009546464309096336,
0.02816341631114483,
0.02106867916882038,
-0.012087997049093246,
-0.05481807887554169,
0.0407363697886467,
-0.00740906223654747,
0.019182736054062843,
-0.04508301988244057,
-0.05585983768105507,
0.025145908817648888,
0.015042641200125217,
0.04562186077237129,
-0.035599421709775925,
-0.006672646384686232,
-0.005626396741718054,
-0.0239424966275692,
0.010695992037653923,
0.010543320327997208,
-0.041023753583431244,
0.012788490392267704,
0.004993258975446224,
-0.030606161803007126,
-0.015958670526742935,
-0.0664929673075676,
-0.04680731147527695,
0.02485852688550949,
-0.08492132276296616,
-0.04896267503499985,
0.04044898971915245,
0.0018994141137227416,
0.047489844262599945,
-0.017844613641500473,
0.007049834821373224,
-0.0478849932551384,
0.028145454823970795,
0.06742695719003677,
0.030911505222320557,
-0.03157607465982437,
0.011162986978888512,
0.024822603911161423,
-0.03515038639307022,
-0.06534343957901001,
0.01959584653377533,
0.027211464941501617,
-0.00033172391704283655,
-0.050758812576532364,
0.016380762681365013,
-0.005909288302063942,
-0.00035754338023252785,
-0.0030848640017211437,
-0.006569368299096823,
-0.037108175456523895,
0.008774125948548317,
0.014916911721229553,
0.042316969484090805,
0.004791193641722202,
-0.022343935444951057,
-0.0014245605561882257,
0.015087544918060303,
0.007148622535169125,
-0.008819028735160828,
0.0007745837792754173,
0.007040854077786207,
-0.03101927414536476,
-0.04691508039832115,
0.027750305831432343,
-0.006605291273444891,
-0.03613826259970665,
-0.00678490474820137,
-0.015536579303443432,
0.015752114355564117,
-0.000768409576267004,
0.016102362424135208,
0.015213274396955967,
-0.04817237704992294,
-0.006026037037372589,
-0.018293648958206177,
0.013102814555168152,
0.004481359850615263,
0.03534796088933945,
-0.03629991412162781,
-0.011899403296411037,
-0.043394651263952255,
0.01611134223639965,
-0.029277021065354347,
-0.06642112135887146,
-0.015114487148821354,
-0.014162534847855568,
0.016057457774877548,
0.031127041205763817,
-0.022667240351438522,
0.018805546686053276,
0.020026920363307,
0.01186348032206297,
-0.013444080017507076,
-0.018590010702610016,
-0.012716644443571568,
0.05363262817263603,
-0.019847305491566658,
0.037934400141239166,
0.008890874683856964,
-0.01462054904550314,
0.0702289268374443,
-0.03134257718920708,
-0.0429995022714138,
0.003819034667685628,
-0.05413554608821869,
-0.008518176153302193,
-0.01492589246481657,
-0.011656924150884151,
0.015231235884130001,
0.020008958876132965,
-0.033695515245199203,
-0.007961373776197433,
-0.011872461065649986,
0.0239424966275692,
0.024265801534056664,
0.03317463770508766,
0.017386598512530327,
0.0012853600783273578,
0.047022849321365356,
-0.028522644191980362,
-0.038616929203271866,
-0.0027189012616872787,
-0.008477763272821903,
0.018248744308948517,
0.006219122093170881,
-0.03922761604189873,
-0.02446337603032589,
-0.03832954913377762,
-0.012806451879441738,
-0.031037235632538795,
-0.012689703144133091,
0.006942066829651594,
-0.03665914013981819,
0.03976645693182945,
-0.03811401128768921,
-0.023960458114743233,
-0.001589580555446446,
-0.05061512067914009,
0.047310229390859604,
0.04303542524576187,
-0.0006235960754565895,
0.014378070831298828,
-0.009672193787992,
0.0012988310772925615,
-0.02708573453128338,
0.0018152202246710658,
-0.02273908630013466,
0.012734605930745602,
-0.03015712834894657,
-0.05079473555088043,
-0.042065512388944626,
0.02997751533985138,
0.004265823867172003,
-0.024409491568803787,
0.027768267318606377,
0.028720218688249588,
-0.004045797046273947,
0.011127064004540443,
-0.03326444327831268,
-0.05021997168660164,
0.0009250101866200566,
0.010767837055027485,
-0.0038033185992389917,
0.026349319145083427,
-0.0536685511469841,
-0.02079925872385502,
-0.037323713302612305,
-0.01999099738895893,
0.046879157423973083,
-0.0023484481498599052,
0.032545991241931915,
-0.0026156234089285135,
0.03225860744714737,
-0.006376283708959818,
0.06753472238779068,
0.01851816475391388,
-0.008329582400619984,
0.007323745638132095,
0.002427029190585017,
0.029043523594737053,
0.03894023597240448,
-0.009627290070056915,
0.032492104917764664,
-0.038616929203271866,
0.02550513483583927,
-0.021158484742045403,
0.037108175456523895,
-0.022254128009080887,
0.010076324455440044,
0.017000429332256317,
0.02300850674510002,
-0.00048551810323260725,
-0.013803306967020035,
-0.017027372494339943,
0.022990545257925987,
-0.016865719109773636,
0.019003121182322502,
0.07184544950723648,
-0.003924557939171791,
-0.0239963810890913,
-0.005976643413305283,
0.012025132775306702,
-0.06792987138032913,
-0.03391105309128761,
-0.06940270960330963,
-0.031594038009643555,
0.015743134543299675,
-0.038185857236385345,
-0.031109079718589783,
0.022469665855169296,
0.004072738811373711,
-0.026977967470884323,
-0.01443195529282093,
0.013767384923994541,
0.01860797218978405,
0.047956839203834534,
0.003913331776857376,
0.04677138850092888,
-0.013039949350059032,
-0.012734605930745602,
0.026690585538744926,
0.04540632665157318,
0.0601346418261528,
0.049214135855436325,
0.03105519711971283,
0.05611129850149155,
-0.0005876733339391649,
0.0029209665954113007,
0.04429272189736366,
0.007099228445440531,
0.02063760533928871,
0.06972601264715195,
0.012375378981232643,
0.07457558065652847,
0.01990118995308876,
-0.022164322435855865,
0.04917821288108826,
-0.02261335588991642,
-0.024014342576265335,
0.049896664917469025,
-0.03360570967197418,
0.06415798515081406,
-0.020835181698203087,
-0.027462923899292946,
-0.008756164461374283,
-0.023062389343976974,
0.04978889971971512,
-0.031162964180111885,
0.03455766290426254,
0.03811401128768921,
0.0004683986771851778,
0.023870650678873062,
-0.03238433599472046,
-0.030246935784816742,
-0.020781297236680984,
-0.022882776334881783,
-0.03434212505817413,
-0.001497528632171452,
-0.028109533712267876,
-0.004400534089654684,
-0.01589580625295639,
-0.04350242018699646,
-0.00835652370005846,
-0.01749436743557453,
0.0069196149706840515,
0.004647502675652504,
0.019398272037506104,
0.06440944969654083,
-0.02295462228357792,
0.026906121522188187,
0.019793421030044556,
-0.04127521067857742,
0.015707211568951607,
0.0046430123038589954,
0.011576098389923573,
-0.04307134822010994,
0.005464744754135609,
0.02566678822040558,
0.01977546140551567,
-0.0037696410436183214,
-0.032330453395843506,
0.009699136018753052,
-0.010435551404953003,
0.02322404272854328,
0.013982920907437801,
0.045945167541503906,
0.033695515245199203,
0.008118536323308945,
0.019057005643844604,
0.013363254256546497,
-0.017386598512530327,
0.030139166861772537,
0.020691489800810814,
0.0436820350587368,
0.0007240674458444118,
-0.07615617662668228,
-0.03583291918039322,
0.060457948595285416,
-0.010938470251858234,
0.02372696064412594,
-0.04766945540904999,
-0.01597663201391697,
0.0214997511357069,
-0.0264930110424757,
0.011037257499992847,
0.013695538975298405,
0.028756141662597656,
-0.012456204742193222,
0.005572512745857239,
0.05172872543334961,
-0.0018219557823613286,
-0.0279119573533535,
0.05126173049211502,
-0.011297697201371193,
0.03105519711971283,
0.005779068451374769,
0.015428810380399227,
0.004425230901688337,
0.003401433117687702,
-0.003291419707238674,
-0.031935304403305054,
0.03306686878204346,
0.05912880599498749,
-0.018554087728261948,
0.01947011798620224,
-0.014863028191030025,
-0.04479563981294632,
0.00010804882185766473,
0.0071845450438559055,
0.026654662564396858,
-0.001451502670533955,
-0.00030730769503861666,
0.0022350670769810677,
0.044508256018161774,
-0.008774125948548317,
0.015347984619438648,
0.05438700690865517,
-0.03739555925130844,
0.026564855128526688,
-0.0038235250394791365,
-0.01744048297405243,
0.023762883618474007,
0.015150409191846848,
0.008563079871237278,
0.06268515437841415,
-0.05629090964794159,
0.04828014224767685,
0.016739990562200546,
0.0011731014819815755,
-0.004813645035028458,
-0.009672193787992,
0.058122970163822174,
-0.047022849321365356,
0.011405465193092823,
-0.007777269929647446,
0.056147221475839615,
-0.020224494859576225,
0.0308037381619215,
-0.018410397693514824,
-0.047705378383398056,
0.0279119573533535,
0.006030527409166098,
0.024445414543151855,
-0.032761525362730026,
0.039263539016246796,
-0.0038392413407564163,
0.06663665920495987,
-0.01391107589006424,
-0.0013706765603274107,
-0.006493032444268465,
-0.00810057483613491,
-0.02933090552687645,
0.09390200674533844,
-0.0028985149692744017,
0.008118536323308945,
0.04105967655777931,
0.009708116762340069,
-0.008819028735160828,
0.027409039437770844,
-0.012339456006884575,
0.012734605930745602,
0.011629982851445675,
0.05884142592549324,
0.0171890240162611,
0.009330928325653076,
0.05255494639277458,
0.048567526042461395,
0.007947903126478195,
-0.03983830288052559,
0.025828439742326736,
-0.013991901651024818,
-0.032025109976530075,
-0.0017894008196890354,
-0.027283310890197754,
-0.007763799279928207,
0.002698694821447134,
-0.0314323864877224,
-0.04418495297431946,
0.030426548793911934,
0.01581498049199581,
0.07127068936824799,
0.027588652446866035,
0.007678482681512833,
-0.010866624303162098,
-0.014108650386333466,
0.030085282400250435,
-0.06555897742509842,
0.07123476266860962,
-0.022846853360533714,
0.02554105781018734,
-0.05018404871225357,
0.04763353615999222,
-0.033444058150053024,
0.02221820503473282,
-0.030642084777355194,
0.002900760155171156,
-0.015258178114891052,
0.0014077217783778906,
-0.01012122817337513,
-0.020655566826462746,
-0.017045333981513977,
0.022649278864264488,
0.02446337603032589,
0.003641666378825903,
-0.015455752611160278,
-0.008405918255448341,
-0.035599421709775925,
0.014198456890881062,
-0.006515484303236008,
0.04256843030452728,
-0.033228520303964615,
-0.027283310890197754,
0.017638057470321655,
0.005635377485305071,
0.012222707271575928,
-0.010758856311440468,
0.008859442546963692,
-0.015213274396955967,
0.022415781393647194,
-0.028019726276397705,
0.00476874178275466,
-0.03243822231888771,
0.01039962936192751,
0.009286024607717991,
-0.04777722433209419,
0.006026037037372589,
-0.008845970965921879,
0.013758404180407524,
0.03139646351337433,
-0.018464280292391777,
-0.014180496335029602,
-0.004025590606033802,
-0.010794779285788536,
0.009447677060961723,
0.03836547210812569,
0.007489888463169336,
0.01977546140551567,
0.00863492488861084,
-0.04698692634701729,
-0.018365493044257164,
-0.011073180474340916,
-0.035599421709775925,
-0.05198018252849579,
0.004007629118859768,
0.03148626908659935,
0.0018107298528775573,
0.04547817260026932,
0.03502465784549713,
0.03207899257540703,
0.013866172172129154,
0.012563973665237427,
0.010103266686201096,
0.02058372274041176,
-0.02748088538646698,
-0.036892637610435486,
-0.049681130796670914,
0.004052532371133566,
-0.0033048908226191998,
0.018751662224531174,
-0.03127073124051094,
0.018554087728261948,
-0.008738202974200249,
0.010031420737504959,
0.018715739250183105,
0.020655566826462746,
-0.02317015826702118,
0.053165633231401443,
0.004584637936204672,
0.02739107795059681,
0.01593172922730446,
0.054854001849889755,
-0.010830702260136604,
0.01102827675640583,
0.03825770318508148,
0.025900285691022873,
0.04023345187306404,
-0.04396941512823105,
0.024301724508404732,
-0.02369103766977787,
0.043574266135692596,
-0.019398272037506104,
-0.011405465193092823,
-0.048351988196372986,
0.016722029075026512,
0.044867485761642456,
-0.032977063208818436,
0.08901651203632355,
-0.029618287459015846,
-0.0019308464834466577,
0.02033226191997528,
-0.042496584355831146,
0.029618287459015846,
-0.057045288383960724,
-0.001995956525206566,
0.04950151592493057,
0.012707664631307125,
-0.020224494859576225,
-0.04493933171033859,
0.056793827563524246,
0.03558145835995674,
0.0028805534821003675,
0.03743147850036621,
0.019667692482471466,
0.030354702845215797,
0.038006242364645004,
-0.0243376474827528,
-0.022810930386185646,
-0.031504228711128235,
-0.009097429923713207,
-0.028953716158866882,
-0.026564855128526688,
0.0023596740793436766,
-0.007206996902823448,
0.04483156278729439,
0.02902556210756302,
-0.020727412775158882,
-0.00035108852898702025,
-0.004303991794586182,
-0.00887291319668293,
-0.047274306416511536,
-0.008383465930819511,
-0.035168349742889404,
0.004665464162826538,
-0.032330453395843506,
0.0006668156129308045,
0.013282427564263344,
0.025145908817648888,
-0.03347998112440109,
-0.032923176884651184,
0.001879207557067275,
0.005949701648205519,
0.004885490518063307,
0.058338508009910583,
-0.021158484742045403,
-0.019110890105366707,
0.02661873959004879,
0.0052267564460635185,
-0.019865266978740692,
-0.0031724257860332727,
-0.01791645959019661,
-0.04874713718891144,
0.04626847058534622,
-0.02042206935584545,
0.014557684771716595,
0.04454417899250984,
-0.04170628637075424,
-0.04669954255223274,
0.006290967110544443,
0.020260417833924294,
-0.02421191707253456,
0.008428369648754597,
0.003906596451997757,
-0.01657833717763424,
-0.03965868800878525,
-0.0214997511357069,
0.04709469527006149,
-0.02911536954343319,
0.07651540637016296,
0.002862592227756977,
0.027283310890197754,
-0.024409491568803787,
0.0354018472135067,
0.05036365985870361,
-0.029043523594737053,
-0.017727864906191826,
0.025217752903699875,
0.01726984977722168,
0.010381667874753475,
-0.005469235125929117,
-0.03576107323169708,
-0.012357417494058609,
-0.04756169021129608,
0.030731892213225365,
-0.03083965927362442,
-0.010112247429788113,
-0.0010524236131459475
] |
Battery life prediction holds significant practical value for battery
research and development. Currently, many data-driven models rely on early
electrical signals from specific target batteries to predict their lifespan. A
common shortfall is that most existing methods are developed based on specific
aging conditions, which not only limits their model's capability but also
diminishes their effectiveness in predicting degradation under varied
conditions. As a result, these models often miss out on fully benefiting from
the rich historical data available under other conditions. Here, to address
above, we introduce an approach that explicitly captures differences between
electrical signals of a target battery and a reference battery, irrespective of
their materials and aging conditions, to forecast the target battery life.
Through this inter-cell difference, we not only enhance the feature space but
also pave the way for a universal battery life prediction framework.
Remarkably, our model that combines the inter- and intra-cell differences
shines across diverse conditions, standing out in its efficiency and accuracy
using all accessible datasets. An essential application of our approach is its
capability to leverage data from older batteries effectively, enabling newer
batteries to capitalize on insights gained from past batteries. This work not
only enriches the battery data utilization strategy but also sets the stage for
smarter battery management system in the future. | [
-0.0094401640817523,
0.0005176476552151144,
-0.023386623710393906,
0.007364769000560045,
-0.008834839798510075,
-0.014883270487189293,
-0.009675567038357258,
0.041123561561107635,
-0.051308371126651764,
0.0038529320154339075,
0.058111052960157394,
-0.04777251183986664,
0.026672665029764175,
0.007417614571750164,
-0.007201427593827248,
-0.0021390498150140047,
-0.005750572774559259,
0.021599479019641876,
0.06083981320261955,
-0.04807997867465019,
-0.010117549449205399,
-0.03664609044790268,
-0.034974243491888046,
0.021657127887010574,
-0.011039947159588337,
0.040470197796821594,
0.019754683598876,
-0.007619388867169619,
-0.03499346226453781,
-0.006206967402249575,
0.04992477223277092,
0.005947543308138847,
0.019697032868862152,
0.03434009477496147,
-0.08685911446809769,
-0.02444353885948658,
0.026768749579787254,
0.04865647852420807,
0.043467991054058075,
-0.026480499655008316,
-0.013019259087741375,
-0.003982644062489271,
-0.031092487275600433,
-0.016295691952109337,
0.04058549553155899,
-0.015152303501963615,
0.014739146456122398,
-0.020811596885323524,
-0.006543258670717478,
-0.00003492395262583159,
-0.02974732406437397,
-0.07540600746870041,
-0.012452368624508381,
0.03649235889315605,
0.0031395149417221546,
0.05949464812874794,
0.05249980092048645,
0.046158317476511,
0.04650421440601349,
0.055113259702920914,
-0.00811902154237032,
0.008777189999818802,
-0.051577404141426086,
-0.03966309875249863,
0.02711464837193489,
0.016189999878406525,
0.03664609044790268,
-0.010732481256127357,
0.012634926475584507,
0.006648949813097715,
-0.050885602831840515,
0.022502658888697624,
0.08186279237270355,
0.016545508056879044,
-0.03489737957715988,
-0.008767581544816494,
0.028651976957917213,
0.0866285115480423,
-0.0026254705153405666,
-0.024136072024703026,
0.031649768352508545,
0.06906452775001526,
-0.055574458092451096,
0.03355221450328827,
0.005207703448832035,
-0.07855753600597382,
0.03664609044790268,
-0.06018644943833351,
0.02294464223086834,
-0.02063864842057228,
-0.019600950181484222,
-0.0012142501072958112,
-0.004040293861180544,
0.008397662080824375,
-0.01475836243480444,
0.04865647852420807,
0.016199609264731407,
0.025596534833312035,
-0.015123478136956692,
-0.031188571825623512,
0.014402855187654495,
0.04608144983649254,
0.0176408551633358,
0.005985976662486792,
0.010242457501590252,
-0.04500531777739525,
-0.053844962269067764,
0.0478493794798851,
0.00760017242282629,
0.11945049464702606,
-0.030189307406544685,
-0.009185543283820152,
-0.023809390142560005,
-0.007321531418710947,
-0.04016273096203804,
-0.045581817626953125,
0.023655656725168228,
-0.043506424874067307,
0.0176408551633358,
-0.01367262378334999,
0.10684439539909363,
0.01400891412049532,
0.06460627168416977,
0.030477555468678474,
0.027940962463617325,
-0.0050107333809137344,
0.07194701582193375,
-0.06514433771371841,
0.0437370240688324,
0.00926240999251604,
-0.041123561561107635,
0.028133129701018333,
-0.03332161530852318,
-0.003636745037510991,
0.040892962366342545,
0.019437609240412712,
0.04058549553155899,
-0.014585413038730621,
-0.04181535914540291,
0.031092487275600433,
0.019120534881949425,
-0.028402160853147507,
-0.008849252946674824,
0.016430208459496498,
0.00012408230395521969,
0.007696255575865507,
0.0010485067032277584,
0.03801047056913376,
-0.01766967959702015,
0.02346349135041237,
-0.016266867518424988,
0.0025053666904568672,
0.03660765662789345,
0.01130898017436266,
0.004847391974180937,
0.04312209039926529,
-0.06460627168416977,
-0.01640138402581215,
0.0026807182002812624,
-0.06410663574934006,
0.032341569662094116,
0.0007512496667914093,
0.022771691903471947,
-0.005524777807295322,
-0.024174505844712257,
0.009007790125906467,
0.0378759540617466,
-0.05776515230536461,
-0.059417784214019775,
0.03139995411038399,
-0.029593592509627342,
-0.005683314986526966,
-0.01608430966734886,
0.006101276259869337,
0.00456394674256444,
0.04562025144696236,
0.022579526528716087,
0.004825773183256388,
-0.037933602929115295,
0.02834451198577881,
-0.03224548324942589,
0.04312209039926529,
-0.009411338716745377,
-0.04381388798356056,
0.046235181391239166,
-0.008508157916367054,
0.024597270414233208,
0.01412421464920044,
-0.0378759540617466,
0.015219561755657196,
0.04235342517495155,
-0.0023468295112252235,
0.05903344973921776,
0.006456783507019281,
-0.00858982838690281,
-0.011270546354353428,
-0.01643981598317623,
-0.024232154712080956,
-0.002385262632742524,
-0.021138280630111694,
0.005726552102714777,
-0.010665223002433777,
-0.01985076628625393,
-0.004996320698410273,
-0.0025005624629557133,
0.040662363171577454,
0.03374437987804413,
0.04527435079216957,
0.004837783519178629,
-0.03729945421218872,
-0.008147845976054668,
-0.04392918944358826,
-0.038586970418691635,
-0.01653590053319931,
0.009661154821515083,
0.019831549376249313,
0.0193319171667099,
-0.046850115060806274,
0.03997056558728218,
-0.04619675129652023,
-0.001017279690131545,
0.021215146407485008,
0.06249244138598442,
0.008551395498216152,
-0.045581817626953125,
0.03639627620577812,
0.010300107300281525,
0.05519012734293938,
-0.01578645221889019,
0.0030314214527606964,
0.06256930530071259,
0.004763319157063961,
0.047311313450336456,
-0.005250941030681133,
-0.02636520005762577,
0.0319572351872921,
0.01692023128271103,
-0.033014148473739624,
-0.05188486725091934,
-0.0188803281635046,
-0.02148417942225933,
-0.014479721896350384,
0.01571919396519661,
-0.045773983001708984,
0.05822635442018509,
-0.006384721491485834,
-0.02711464837193489,
0.05972524732351303,
0.0462736152112484,
0.060686081647872925,
-0.011952736414968967,
-0.059379350394010544,
-0.02590400166809559,
0.037837520241737366,
-0.016949057579040527,
-0.015373294241726398,
0.0663357675075531,
-0.007657822221517563,
0.010463448241353035,
-0.014902487397193909,
0.055574458092451096,
0.029266908764839172,
-0.028402160853147507,
0.029593592509627342,
-0.019831549376249313,
0.05469049513339996,
0.06956415623426437,
0.014902487397193909,
0.023059941828250885,
0.012836701236665249,
-0.022925425320863724,
-0.05399869754910469,
0.002242339076474309,
-0.08063293248414993,
-0.03241843357682228,
-0.02786409668624401,
0.0180347952991724,
-0.004136377014219761,
-0.03704963997006416,
0.05034754052758217,
0.003963427618145943,
-0.010818956419825554,
0.04742661491036415,
-0.029439859092235565,
-0.03772222250699997,
-0.029920274391770363,
0.0067306202836334705,
-0.004501492716372013,
-0.02734524756669998,
-0.06337640434503555,
0.0005575821851380169,
-0.01669924147427082,
0.0010911435820162296,
-0.004859402310103178,
-0.005337415728718042,
-0.017938712611794472,
0.005222116131335497,
-0.026672665029764175,
-0.04085452854633331,
0.025039253756403923,
-0.01248119305819273,
0.0037736634258180857,
-0.01557506900280714,
-0.0016658406239002943,
0.0007734688697382808,
-0.03616567701101303,
0.01370144821703434,
0.06203124299645424,
-0.0027719971258193254,
0.021292012184858322,
0.002058580284938216,
-0.03101562149822712,
-0.02256030961871147,
-0.07609780877828598,
-0.013864790089428425,
0.05138523504137993,
-0.006946807261556387,
-0.007614585105329752,
0.03631940856575966,
-0.058725982904434204,
-0.007950875908136368,
0.021368879824876785,
-0.08193966001272202,
-0.004727288149297237,
0.014181864447891712,
-0.018544036895036697,
-0.007465655915439129,
0.052384499460458755,
-0.008066175505518913,
0.0008881680550985038,
-0.02740289643406868,
-0.03017009049654007,
-0.04611988365650177,
-0.017909888178110123,
0.014633454382419586,
-0.029920274391770363,
-0.03218783438205719,
0.032399218529462814,
-0.015354078263044357,
0.01300004217773676,
0.019966065883636475,
-0.07498324662446976,
-0.06287677586078644,
-0.015824884176254272,
0.02561575174331665,
-0.02623068355023861,
-0.04904080927371979,
0.06929512321949005,
-0.042391858994960785,
0.003795281983911991,
0.0009878543205559254,
-0.0243474543094635,
-0.006773857865482569,
-0.013355549424886703,
-0.00456394674256444,
0.03351378068327904,
0.012538842856884003,
-0.049809474498033524,
-0.002163070486858487,
-0.06418350338935852,
0.020235098898410797,
-0.06787309795618057,
0.0003467999049462378,
0.031188571825623512,
-0.0554591603577137,
0.0058418517000973225,
0.015536636114120483,
-0.05184643715620041,
-0.012461977079510689,
-0.00741281034424901,
0.018995627760887146,
0.10261674225330353,
0.004758514929562807,
0.017535163089632988,
-0.02698013186454773,
0.01557506900280714,
0.0231368076056242,
-0.01799636334180832,
0.004890629090368748,
0.04608144983649254,
-0.004953083116561174,
0.031034838408231735,
0.006149317603558302,
-0.04927140846848488,
-0.011107205413281918,
0.013576541095972061,
-0.03503189608454704,
0.028882576152682304,
0.016170784831047058,
0.09715922176837921,
0.008974160999059677,
-0.053460631519556046,
0.0002304492809344083,
-0.02575026825070381,
0.046657949686050415,
0.0042084394954144955,
0.04846430942416191,
0.015527027659118176,
0.029362991452217102,
-0.014201080426573753,
0.026538150385022163,
0.03174585476517677,
-0.011952736414968967,
-0.017660072073340416,
-0.04235342517495155,
0.0378759540617466,
0.011549187824130058,
-0.021945377811789513,
-0.0629536435008049,
0.022733259946107864,
0.015315644443035126,
0.010396189987659454,
0.011078380048274994,
-0.0386061854660511,
0.013547715730965137,
0.003242804203182459,
-0.01643981598317623,
-0.013932048343122005,
-0.010751698166131973,
0.04435195401310921,
-0.0640297681093216,
0.014345205388963223,
0.05930248275399208,
0.009824495762586594,
-0.0061204927042126656,
-0.001444849418476224,
-0.02626911737024784,
-0.027710363268852234,
-0.02440510503947735,
-0.03237999975681305,
-0.015997834503650665,
0.0419306606054306,
0.055382292717695236,
-0.04212282598018646,
-0.022906208410859108,
-0.020542563870549202,
0.023328974843025208,
-0.0134420245885849,
-0.010155982337892056,
-0.036146458238363266,
-0.029958708211779594,
-0.07083245366811752,
-0.04565868526697159,
0.0019396774005144835,
-0.039855264127254486,
-0.07344591617584229,
-0.0003987448289990425,
0.023809390142560005,
-0.016901016235351562,
-0.010866997763514519,
-0.04335268959403038,
0.020023716613650322,
-0.015969010069966316,
0.03505111113190651,
0.015421335585415363,
-0.06994848698377609,
-0.0070188697427511215,
-0.06329953670501709,
-0.019677815958857536,
0.005957151763141155,
-0.03651157394051552,
0.03397497907280922,
0.01633412577211857,
0.040700796991586685,
0.04865647852420807,
0.02440510503947735,
0.012903958559036255,
-0.012606101110577583,
-0.010991905815899372,
0.05753455311059952,
-0.002894503064453602,
-0.044121354818344116,
-0.007955679669976234,
0.03647314012050629,
-0.022925425320863724,
-0.03710728883743286,
-0.04773407801985741,
-0.030554423108696938,
0.021830078214406967,
0.02040804922580719,
-0.026403633877635002,
0.03864461928606033,
-0.007667430676519871,
-0.01855364441871643,
0.012836701236665249,
0.05150053650140762,
-0.033052582293748856,
-0.03608880937099457,
-0.008959747850894928,
0.0043958015739917755,
-0.03495502844452858,
-0.00828236248344183,
-0.03947093337774277,
0.011587620712816715,
-0.01607470028102398,
0.00009112880798056722,
-0.018995627760887146,
0.009829300455749035,
0.05084717273712158,
0.02730681374669075,
0.02542358636856079,
-0.02730681374669075,
0.02984340861439705,
0.03772222250699997,
0.020753948017954826,
0.0235595740377903,
-0.014883270487189293,
-0.024981603026390076,
0.011030338704586029,
0.02792174555361271,
-0.0071197571232914925,
0.0029353382997214794,
0.022483443841338158,
-0.018447954207658768,
0.010338540188968182,
0.012000777758657932,
0.007782730273902416,
-0.025269852951169014,
-0.0062261843122541904,
0.02467413805425167,
0.021099846810102463,
0.056419990956783295,
0.01435481384396553,
0.07014065235853195,
-0.029593592509627342,
0.04658108204603195,
0.014739146456122398,
-0.0032187835313379765,
0.038452453911304474,
-0.008234321139752865,
-0.008930923417210579,
0.0369727723300457,
-0.05180800333619118,
-0.04381388798356056,
0.002543799811974168,
0.034974243491888046,
0.016228433698415756,
0.04273775964975357,
-0.013566932640969753,
-0.003975437954068184,
-0.02505847066640854,
0.00834962073713541,
0.02942064218223095,
0.006961219944059849,
0.05480579286813736,
-0.001113362843170762,
0.034032631665468216,
-0.01667041704058647,
-0.005404673982411623,
0.02655736543238163,
0.020811596885323524,
0.019379958510398865,
0.047695644199848175,
0.012212160974740982,
-0.0214457456022501,
-0.034455396234989166,
-0.02252187579870224,
-0.04969417303800583,
-0.036146458238363266,
-0.035589177161455154,
-0.0188803281635046,
-0.002466933336108923,
0.00775390537455678,
-0.005913914181292057,
0.033014148473739624,
-0.021599479019641876,
0.016776107251644135,
0.05626625940203667,
-0.009886950254440308,
0.040700796991586685,
-0.01459502149373293,
-0.027364464476704597,
-0.037933602929115295,
-0.007950875908136368,
-0.0036751781590282917,
-0.004753710702061653,
0.023482706397771835,
-0.048118412494659424,
-0.006471196189522743,
-0.026153817772865295,
0.03458991274237633,
0.00509240385144949,
-0.0014160245191305876,
0.026538150385022163,
-0.032764334231615067,
-0.07106305658817291,
0.02561575174331665,
-0.04754191264510155,
-0.003115494269877672,
-0.030112439766526222,
0.011414671316742897,
0.057726722210645676,
0.0038144986610859632,
-0.004907443653792143,
-0.0546136274933815,
-0.05434459447860718,
0.008056567050516605,
0.05399869754910469,
0.04773407801985741,
-0.011674095876514912,
0.0123851103708148,
0.026403633877635002,
0.05588192492723465,
0.0838613212108612,
-0.029689675197005272,
0.01770811341702938,
0.0403548963367939,
-0.0004951281589455903,
0.019408784806728363,
0.03255295008420944,
0.02073473110795021,
-0.0035838992334902287,
0.014652671292424202,
-0.00405951077118516,
0.014402855187654495,
0.002296385820955038,
0.058533817529678345,
0.030708156526088715,
0.015450160950422287,
0.02421293966472149,
0.004799350164830685,
-0.02304072491824627,
0.04969417303800583,
-0.020139016211032867,
-0.007970091886818409,
0.008311186917126179,
-0.005034754052758217,
-0.05273040011525154,
-0.015056219883263111,
-0.027383681386709213,
-0.016478249803185463,
0.026096167042851448,
-0.02561575174331665,
0.013172991573810577,
0.014681495726108551,
-0.03462834656238556,
-0.017045140266418457,
0.02083081379532814,
-0.005740964785218239,
-0.01004068274050951,
-0.021503396332263947,
-0.0035166412126272917,
0.01597861759364605,
-0.0028728845063596964,
-0.0013595757773146033,
-0.026249900460243225,
0.014902487397193909,
-0.004609586205333471,
0.047695644199848175,
0.050462838262319565,
0.023617222905158997,
0.04819527640938759,
0.006058038678020239,
0.04781094565987587,
-0.026057733222842216,
0.00509240385144949,
0.0656055361032486,
0.013317116536200047,
0.011357021518051624,
0.001064120209775865,
0.0025678204838186502,
0.029017092660069466,
0.006946807261556387,
-0.028728844597935677,
0.009022202342748642,
-0.02538515254855156,
0.015488593839108944,
0.00875316932797432,
0.004225254058837891,
0.01760242134332657,
-0.010204024612903595,
-0.022790908813476562,
-0.02238735929131508,
0.05668902397155762,
0.034416962414979935,
-0.009272018447518349,
0.009420947171747684,
0.0361272431910038,
-0.008258341811597347,
-0.051577404141426086,
-0.012231376953423023,
-0.002229127800092101,
0.0021126270294189453,
0.04677324742078781,
0.0021030185744166374,
-0.004119562450796366,
0.012663750909268856,
-0.02505847066640854,
-0.05649685859680176,
0.00707171531394124,
-0.0037520446348935366,
-0.02919004298746586,
0.008263145573437214,
-0.018947584554553032,
0.01826539635658264,
-0.004047499969601631,
-0.028229212388396263,
0.012740617617964745,
0.029862623661756516,
0.028133129701018333,
0.029362991452217102,
0.02463570423424244,
-0.020350398495793343,
0.015805669128894806,
0.030227739363908768,
-0.023482706397771835,
0.01783302240073681,
-0.03899051621556282,
-0.03163055330514908,
-0.0036415490321815014,
-0.016218826174736023,
-0.01686258241534233,
-0.051308371126651764,
-0.017419863492250443,
0.06287677586078644,
-0.0007374377455562353,
0.002486150013282895,
0.021080629900097847,
-0.08232399076223373,
0.011558795347809792,
-0.008243929594755173,
-0.016737673431634903,
-0.04381388798356056,
-0.014047347940504551,
-0.007263881620019674,
0.021003764122724533,
0.009363297373056412,
0.0021366477012634277,
-0.02369409054517746,
-0.002024951158091426,
0.03191880136728287,
0.006644145585596561,
-0.028421377763152122,
-0.014095389284193516,
0.047042280435562134,
0.00020162435248494148,
-0.06491373479366302,
0.03947093337774277,
-0.03278354927897453,
-0.024078423157334328,
0.012461977079510689,
0.0080037210136652,
-0.028863361105322838,
0.005923522636294365,
0.033898115158081055,
0.0470038466155529,
-0.017266131937503815,
0.021637912839651108,
-0.011904695071280003,
-0.025558102875947952,
-0.0016177990473806858,
0.00006966024375287816,
0.04162319377064705,
-0.04734974727034569,
-0.02346349135041237,
-0.00018631111015565693,
-0.022963859140872955,
-0.020139016211032867,
0.03182271867990494,
-0.006072451360523701,
0.003701600944623351,
0.022790908813476562,
0.0007686647004447877,
-0.006745032966136932,
0.07871126383543015,
0.007201427593827248,
-0.029901057481765747,
-0.04100826382637024,
0.020561780780553818,
-0.02786409668624401,
0.007638605777174234,
0.028921009972691536,
0.035397011786699295,
-0.06383760273456573,
0.011587620712816715,
0.002553408034145832,
0.0109342560172081,
0.005534385796636343,
0.021599479019641876,
0.04016273096203804,
-0.04888707771897316,
-0.018832284957170486,
-0.001232265611179173,
0.03799125552177429,
0.028094695881009102,
0.03111170418560505,
0.024424321949481964,
-0.032591383904218674,
0.01130898017436266,
0.010117549449205399,
-0.014028131030499935,
0.032437652349472046,
0.02317524142563343,
0.012836701236665249,
0.025346718728542328,
-0.007403201889246702,
-0.022464226931333542,
-0.0005590834771282971,
-0.05930248275399208,
-0.03683825582265854,
0.0009506220812909305,
-0.02678796648979187,
-0.01254845131188631,
0.02167634479701519,
-0.018630512058734894,
-0.010280890390276909,
-0.01783302240073681,
-0.050232239067554474,
-0.0018387901363894343,
0.0050059291534125805,
-0.006898765917867422,
-0.002054976997897029,
-0.008128629066050053,
0.00565449008718133,
0.006495216861367226,
-0.015997834503650665,
0.006576887331902981,
0.046657949686050415,
-0.02382860705256462,
0.013643798418343067,
-0.004756113048642874,
-0.009137501940131187,
-0.001891635823994875,
0.01565193571150303,
-0.0247702207416296,
-0.03499346226453781,
0.005154857877641916,
-0.0008107010507956147,
0.032303135842084885,
0.01708357408642769,
0.027479764074087143,
0.012365893460810184,
-0.001197435543872416,
0.007158190011978149,
-0.043852321803569794,
0.018707377836108208,
-0.013634190894663334,
0.02744133025407791,
-0.02440510503947735,
0.023905472829937935,
-0.024136072024703026,
0.005433498881757259,
-0.02557731792330742,
-0.010088724084198475,
-0.019677815958857536,
-0.040085867047309875,
-0.015661543235182762,
0.003432568395510316,
0.00022804721083957702,
0.03843323513865471,
0.019754683598876,
-0.016295691952109337,
0.016968274489045143,
0.004602380096912384,
-0.016286084428429604,
0.0030458339024335146,
0.0496557392179966,
0.0209653303027153,
0.001987718977034092,
-0.018054012209177017,
0.08247772604227066,
-0.025558102875947952,
-0.056227825582027435,
-0.01698748953640461,
0.03241843357682228,
-0.03205331787467003,
0.01783302240073681,
-0.009565071202814579,
0.0006557671003974974,
-0.03693433851003647,
-0.029708892107009888,
0.011597229167819023,
0.02167634479701519,
0.061339445412158966,
0.045389652252197266,
0.05100090429186821,
-0.03049677237868309,
0.05480579286813736,
0.035070326179265976,
-0.06076294556260109,
0.0005272559355944395,
0.02134966291487217,
0.02415528893470764,
-0.017535163089632988,
0.05249980092048645,
-0.011895086616277695,
-0.009670763276517391,
-0.02655736543238163,
-0.024616487324237823,
-0.05776515230536461,
-0.020523348823189735,
0.03829871863126755,
0.004066716879606247,
-0.03368673101067543,
0.0070236739702522755,
-0.0024525208864361048,
0.0025125727988779545,
0.010434623807668686,
0.021733995527029037,
-0.022925425320863724,
0.01222176942974329,
-0.0018459963612258434,
-0.008090196177363396,
-0.024289805442094803,
-0.025365935638546944,
0.0013595757773146033,
0.051577404141426086,
-0.048579610884189606,
0.020984547212719917,
-0.028363728895783424,
-0.0019697032403200865,
0.005390261299908161,
0.023328974843025208,
-0.011645270511507988,
0.06787309795618057,
0.05680432170629501,
-0.023021508008241653,
-0.017016315832734108,
0.015046612359583378,
-0.007355160545557737,
0.00909906905144453,
0.0006203364464454353,
0.010117549449205399,
0.03641549125313759,
-0.022252842783927917,
-0.001141587272286415,
0.034186363220214844,
0.003953819163143635,
0.0038409214466810226,
0.03683825582265854,
-0.009781258180737495,
0.029708892107009888,
0.033994197845458984,
-0.009531443007290363,
0.015238777734339237,
-0.009728413075208664,
0.026518933475017548,
0.023674873635172844,
-0.0479646772146225,
-0.03343691676855087,
-0.013711056672036648,
-0.012308243662118912,
-0.03172663599252701,
0.00012340671673882753,
-0.03593507409095764,
-0.011145638301968575,
0.030285390093922615,
-0.00637991726398468,
-0.021099846810102463,
0.05864911898970604,
0.002057379111647606,
0.015257994644343853,
-0.006399133708328009,
-0.002707140985876322,
-0.0057073356583714485,
0.031034838408231735,
-0.0032091753091663122,
-0.025250636041164398,
-0.026403633877635002,
-0.034128714352846146,
-0.012932783924043179,
0.03524327650666237,
-0.03017009049654007,
-0.006303050555288792,
-0.022445010021328926,
0.018601685762405396,
-0.04608144983649254,
-0.02834451198577881,
-0.037799086421728134,
-0.013586148619651794,
-0.00912789348512888,
-0.009709196165204048,
0.05526699498295784,
-0.006283834110945463,
0.025077685713768005,
-0.0230791587382555,
0.0035790950059890747,
-0.018284611403942108,
0.006672970484942198,
-0.0008671499090269208,
0.03973996639251709,
0.019408784806728363,
0.0213880967348814,
-0.031784284859895706,
-0.007268685847520828,
-0.040892962366342545,
-0.004114758223295212,
-0.0041075521148741245,
-0.04250716045498848,
0.027575846761465073,
-0.019697032868862152,
-0.0021979007869958878,
0.03804890438914299,
-0.04842587932944298,
-0.04950200766324997,
-0.028594328090548515,
-0.010492273606359959,
-0.04512061923742294,
-0.00034499834873713553,
0.007287902291864157,
-0.05607409030199051,
0.021272795274853706,
0.01731417328119278,
0.041354160755872726,
0.006586495786905289,
0.03679982200264931,
0.034974243491888046,
0.034705210477113724,
-0.05234606936573982,
0.05891815200448036,
0.006178142502903938,
-0.05887971818447113,
0.03203410282731056,
0.025039253756403923,
-0.032533735036849976,
0.0075329141691327095,
-0.02223362773656845,
0.00039904509321786463,
-0.002434505382552743,
-0.06848802417516708,
0.026864832267165184,
0.018178921192884445,
-0.012884742580354214,
-0.017275739461183548
] |
Autonomous driving systems (ADSs) are capable of sensing the environment and
making driving decisions autonomously. These systems are safety-critical, and
testing them is one of the important approaches to ensure their safety.
However, due to the inherent complexity of ADSs and the high dimensionality of
their operating environment, the number of possible test scenarios for ADSs is
infinite. Besides, the operating environment of ADSs is dynamic, continuously
evolving, and full of uncertainties, which requires a testing approach adaptive
to the environment. In addition, existing ADS testing techniques have limited
effectiveness in ensuring the realism of test scenarios, especially the realism
of weather conditions and their changes over time. Recently, reinforcement
learning (RL) has demonstrated great potential in addressing challenging
problems, especially those requiring constant adaptations to dynamic
environments. To this end, we present DeepQTest, a novel ADS testing approach
that uses RL to learn environment configurations with a high chance of
revealing abnormal ADS behaviors. Specifically, DeepQTest employs Deep
Q-Learning and adopts three safety and comfort measures to construct the reward
functions. To ensure the realism of generated scenarios, DeepQTest defines a
set of realistic constraints and introduces real-world weather conditions into
the simulated environment. We employed three comparison baselines, i.e.,
random, greedy, and a state-of-the-art RL-based approach DeepCOllision, for
evaluating DeepQTest on an industrial-scale ADS. Evaluation results show that
DeepQTest demonstrated significantly better effectiveness in terms of
generating scenarios leading to collisions and ensuring scenario realism
compared with the baselines. In addition, among the three reward functions
implemented in DeepQTest, Time-To-Collision is recommended as the best design
according to our study. | [
0.02167210541665554,
0.0003661382361315191,
-0.015247272327542305,
-0.030269769951701164,
0.03881124034523964,
0.03058820217847824,
-0.03191812336444855,
0.013374143280088902,
-0.06357400864362717,
-0.0211663618683815,
0.027141643688082695,
-0.03665713965892792,
0.053309258073568344,
-0.011744520626962185,
-0.0063264942727983,
0.04214540868997574,
-0.0009026142070069909,
0.04057198017835617,
0.002964226994663477,
-0.06143864244222641,
0.007352032698690891,
0.015200444497168064,
-0.046041518449783325,
0.09298213571310043,
-0.010320942848920822,
0.04053451865911484,
0.03517736867070198,
-0.013542724773287773,
-0.09582929313182831,
0.04308197274804115,
0.025586945936083794,
0.025324707850813866,
0.02137240581214428,
-0.009890122339129448,
0.005286907311528921,
-0.014479289762675762,
0.06803205609321594,
0.018356667831540108,
-0.03956048935651779,
0.08129381388425827,
0.014348170720040798,
-0.04128377139568329,
-0.04090914502739906,
-0.036563482135534286,
-0.006996138021349907,
-0.014132760465145111,
0.0170548427850008,
0.0023753619752824306,
-0.03469035401940346,
0.008283914066851139,
-0.022102925926446915,
0.004589166957885027,
0.026785748079419136,
0.010976538062095642,
-0.010995268821716309,
0.03484020382165909,
0.015453316271305084,
-0.008433764800429344,
0.042407646775245667,
0.00025492117856629193,
0.05735521763563156,
-0.022515013813972473,
-0.06162595376372337,
0.015378391370177269,
0.01226899679750204,
-0.0632743090391159,
0.025867914780974388,
-0.04431824013590813,
-0.006757313851267099,
-0.02015487104654312,
-0.07571188360452652,
0.004610239528119564,
-0.06012745201587677,
0.04300704970955849,
0.03281722590327263,
0.00023984834842849523,
-0.02661716751754284,
0.044580478221178055,
-0.007511248346418142,
0.029314473271369934,
0.03982272744178772,
0.05166090652346611,
-0.059153422713279724,
-0.022440088912844658,
0.0244443379342556,
0.007473785895854235,
0.012053587473928928,
-0.0878872275352478,
0.028471564874053,
-0.08286724239587784,
-0.04042213037610054,
0.02908969856798649,
0.02015487104654312,
-0.016015255823731422,
-0.011585304513573647,
0.024781500920653343,
-0.042857199907302856,
-0.01723278872668743,
-0.06953056156635284,
0.01979897730052471,
0.01728898286819458,
-0.03184319660067558,
0.040497057139873505,
0.02303948998451233,
0.0073286183178424835,
-0.06132625415921211,
-0.06053953990340233,
0.04971285164356232,
-0.009538911283016205,
0.14393125474452972,
-0.02539963275194168,
0.005853529088199139,
-0.03367886319756508,
-0.015350294299423695,
-0.050424639135599136,
-0.008939509280025959,
0.01363638136535883,
-0.039635416120290756,
0.032779764384031296,
-0.03937317803502083,
-0.010086800903081894,
0.04098406806588173,
0.011875639669597149,
-0.027553731575608253,
-0.016202569007873535,
0.023976054042577744,
0.022758521139621735,
0.01298078615218401,
0.01651163399219513,
-0.015425220131874084,
0.002463164972141385,
-0.014629139564931393,
-0.026280004531145096,
0.036020275205373764,
0.046790771186351776,
0.013149367645382881,
-0.024818962439894676,
-0.01489137765020132,
0.017307715490460396,
-0.0018122525652870536,
-0.027609925717115402,
-0.03528975695371628,
-0.035364679992198944,
0.04615390673279762,
0.017607415094971657,
0.003842256497591734,
-0.003800111124292016,
0.06638370454311371,
0.014872646890580654,
0.023114414885640144,
-0.030606932938098907,
0.030681857839226723,
0.002933788811787963,
0.004837356507778168,
0.03839914873242378,
0.0471653938293457,
-0.011678961105644703,
0.014029738493263721,
-0.012353288009762764,
-0.03178700432181358,
0.04334421083331108,
-0.027385151013731956,
-0.0046594091691076756,
0.0585540235042572,
0.04075929522514343,
0.009379695169627666,
0.05076180398464203,
-0.013589552603662014,
-0.056268803775310516,
0.04132123291492462,
-0.007300521247088909,
-0.01979897730052471,
0.01985517144203186,
0.038324225693941116,
0.03570184484124184,
0.037125423550605774,
0.045142415910959244,
0.008962923660874367,
0.018703196197748184,
0.014554214663803577,
-0.09567944705486298,
-0.03532721847295761,
0.06949310004711151,
0.03881124034523964,
0.053309258073568344,
-0.007047649007290602,
0.07807202637195587,
-0.0024046297185122967,
0.0025661871768534184,
0.006738582625985146,
0.017598049715161324,
0.016417978331446648,
0.05937819927930832,
0.01889987476170063,
-0.016979917883872986,
-0.027478806674480438,
-0.03502751886844635,
0.004579801112413406,
-0.0029267645440995693,
-0.00974963791668415,
-0.020941585302352905,
0.024519262835383415,
0.010967171750962734,
0.019180843606591225,
0.03705049678683281,
0.003022762481123209,
0.032124169170856476,
0.03937317803502083,
0.0391109399497509,
-0.09290721267461777,
-0.07121637463569641,
-0.007717292755842209,
-0.0422203354537487,
-0.001569916494190693,
-0.029052235186100006,
-0.012915226630866528,
-0.009543593972921371,
-0.001334604574367404,
0.005286907311528921,
-0.03718161582946777,
-0.011781983077526093,
-0.0012046563206240535,
0.034240804612636566,
0.0018742999527603388,
-0.0358329638838768,
-0.01609954610466957,
0.04030974209308624,
0.00024189708346966654,
-0.043119437992572784,
-0.02258993871510029,
-0.037368930876255035,
-0.07391367852687836,
-0.005338418297469616,
0.003734551602974534,
0.03476528078317642,
0.0052822246216237545,
0.005277541931718588,
0.012409481219947338,
-0.006382687948644161,
-0.04742763191461563,
0.010414598509669304,
-0.043831225484609604,
-0.029295742511749268,
-0.05031225457787514,
0.06252505630254745,
-0.004455706104636192,
-0.012540600262582302,
0.03603900596499443,
0.04600405693054199,
-0.003636212320998311,
-0.021915612742304802,
-0.06083923950791359,
-0.0801699310541153,
0.0055444627068936825,
-0.010873515158891678,
-0.0015909891808405519,
0.046041518449783325,
-0.06095162779092789,
0.002683257684111595,
-0.06185073032975197,
0.04023481905460358,
0.01618383638560772,
-0.011969296261668205,
0.014900743961334229,
-0.06743265688419342,
0.03418460860848427,
0.051436129957437515,
0.039635416120290756,
0.015959061682224274,
-0.0212225541472435,
-0.022159120067954063,
-0.07503756135702133,
-0.04349406063556671,
-0.003544897073879838,
0.020023752003908157,
-0.03454050421714783,
0.019274501129984856,
-0.027197837829589844,
-0.005591291002929211,
0.010854784399271011,
-0.03907347843050957,
-0.03457796573638916,
0.03648855909705162,
-0.029501786455512047,
-0.023601429536938667,
-0.05409597232937813,
-0.015930965542793274,
0.009356280788779259,
-0.06612146645784378,
0.01668958179652691,
-0.010517621412873268,
-0.02369508519768715,
-0.00599869666621089,
-0.0011004634434357285,
0.045591965317726135,
0.047202859073877335,
-0.0007726658368483186,
-0.0554446280002594,
0.026673361659049988,
0.005123008508235216,
-0.048214349895715714,
-0.017663609236478806,
0.032779764384031296,
0.054358210414648056,
0.0342782661318779,
-0.0025919426698237658,
-0.015200444497168064,
0.012896494939923286,
-0.003078956389799714,
-0.046191368252038956,
0.003118760185316205,
0.0022618037182837725,
-0.04143362119793892,
-0.049975089728832245,
-0.03159969300031662,
0.0027839383110404015,
-0.006925895344465971,
-0.03180573508143425,
-0.0425574965775013,
-0.005403977818787098,
0.013982909731566906,
-0.012053587473928928,
-0.06589668989181519,
0.05147359147667885,
0.05817939713597298,
-0.01753249019384384,
0.027984552085399628,
0.00679009361192584,
-0.06259997934103012,
0.019443081691861153,
-0.011079560033977032,
0.00952486228197813,
-0.06769489496946335,
0.002289900556206703,
0.021803224459290504,
0.03463416174054146,
-0.05731775611639023,
0.017682339996099472,
-0.011557207442820072,
-0.028153132647275925,
-0.0026200395077466965,
0.018909240141510963,
-0.08871140331029892,
-0.026392390951514244,
0.0001412163837812841,
-0.04768986999988556,
0.02807820774614811,
0.013608284294605255,
-0.005624070763587952,
-0.014722796157002449,
0.0011232922552153468,
0.0015628922265022993,
-0.028396639972925186,
-0.0005007694126106799,
0.05046210438013077,
-0.004301173146814108,
0.004870136268436909,
-0.03394110128283501,
0.0011455356143414974,
0.0055116829462349415,
0.02438814379274845,
-0.034746550023555756,
-0.048064496368169785,
0.03469035401940346,
-0.04386868700385094,
0.030719321221113205,
0.034053489565849304,
-0.01653973199427128,
0.03469035401940346,
0.03229274973273277,
-0.01764487847685814,
0.09163348376750946,
0.03731273487210274,
0.015134884975850582,
-0.031225064769387245,
-0.0392233282327652,
-0.031168870627880096,
-0.03892362490296364,
-0.042819734662771225,
0.046790771186351776,
0.024406874552369118,
0.008368205279111862,
-0.010274114087224007,
0.012737278826534748,
-0.012578063644468784,
0.026954330503940582,
-0.025343438610434532,
-0.0002085319720208645,
0.043419137597084045,
0.05207299441099167,
0.03978526592254639,
0.0068369219079613686,
-0.07882127910852432,
-0.02408844232559204,
-0.002088539069518447,
0.03270483762025833,
0.008265183307230473,
-0.023957323282957077,
0.018862411379814148,
-0.10152360796928406,
-0.00919706467539072,
0.04158347100019455,
-0.022964565083384514,
0.028789997100830078,
-0.030007531866431236,
0.01013362966477871,
-0.04521734267473221,
-0.028134401887655258,
0.0031913439743220806,
0.056531041860580444,
0.01050825510174036,
-0.08743767440319061,
-0.007483151741325855,
0.010367770679295063,
0.05896611139178276,
0.03169334679841995,
-0.02051076665520668,
-0.005713044200092554,
-0.019162112846970558,
-0.041658394038677216,
-0.014282611198723316,
0.05806700885295868,
0.04469286650419235,
0.0170829389244318,
-0.0019913706928491592,
0.053196873515844345,
-0.009618518874049187,
0.0006848628981970251,
-0.030756782740354538,
-0.05904103443026543,
0.029070965945720673,
-0.004624288063496351,
0.0073613980785012245,
-0.017476296052336693,
-0.02081046625971794,
-0.012718548066914082,
0.04476778954267502,
0.019180843606591225,
-0.04109645634889603,
0.040796756744384766,
-0.008382253348827362,
-0.051848217844963074,
-0.03392237052321434,
-0.03615139424800873,
-0.03394110128283501,
-0.055969104170799255,
0.02938939817249775,
0.0005142325535416603,
-0.02888365462422371,
-0.02026725932955742,
-0.051848217844963074,
0.037518780678510666,
-0.05282224714756012,
0.0024912620428949594,
0.015134884975850582,
-0.041358694434165955,
-0.02077300474047661,
-0.053159408271312714,
0.012737278826534748,
-0.011791348457336426,
0.05458298698067665,
0.05424582585692406,
0.019986290484666824,
-0.0013474824372678995,
0.021859418600797653,
0.03527102619409561,
-0.054470598697662354,
-0.03971034288406372,
0.0034535820595920086,
-0.003371632657945156,
-0.0048888674937188625,
-0.04652853310108185,
-0.0009588080574758351,
0.04323182255029678,
0.010761127807199955,
0.020698077976703644,
-0.008007627911865711,
-0.055969104170799255,
-0.0211663618683815,
-0.029014773666858673,
0.038436613976955414,
0.09687824547290802,
0.007071062922477722,
-0.06001506373286247,
0.027047986164689064,
0.04218287020921707,
0.052185382694005966,
-0.028996041044592857,
-0.036413632333278656,
-0.017785362899303436,
-0.005703678820282221,
-0.02450053207576275,
-0.028452834114432335,
-0.0023297045845538378,
-0.024331949651241302,
0.0021693177986890078,
-0.05994013696908951,
-0.02968909963965416,
0.030513275414705276,
0.023882398381829262,
0.006270300131291151,
-0.014432461000978947,
0.010433330200612545,
-0.0015078691067174077,
-0.020529497414827347,
0.01280283834785223,
0.020641885697841644,
-0.018375398591160774,
-0.000178678979864344,
0.010330308228731155,
0.01902162842452526,
-0.020473303273320198,
0.007867143489420414,
-0.008976971730589867,
0.003100028960034251,
-0.02176576294004917,
-0.005994013510644436,
-0.003338852897286415,
0.006715168710798025,
0.04158347100019455,
0.006097035948187113,
0.013402240350842476,
0.01910591870546341,
-0.0044791204854846,
0.031674616038799286,
0.037556242197752,
0.04177078232169151,
-0.033997297286987305,
0.05739268288016319,
0.010695568285882473,
-0.0685565322637558,
0.02757246233522892,
-0.002898667473345995,
-0.052897170186042786,
-0.026879405602812767,
0.009871391579508781,
-0.010068070143461227,
0.04158347100019455,
0.00930008664727211,
0.0016190861351788044,
-0.011173216626048088,
0.04626629501581192,
-0.008569566532969475,
-0.003013396868482232,
0.05001255124807358,
0.02051076665520668,
0.030101187527179718,
-0.00785309448838234,
0.01035840529948473,
0.0011677790898829699,
0.010517621412873268,
-0.006813507992774248,
-0.03189939260482788,
0.028452834114432335,
-0.027890894562005997,
-0.016586560755968094,
-0.041920632123947144,
-0.009070628322660923,
0.007698561530560255,
-0.048813749104738235,
-0.024818962439894676,
-0.02596157230436802,
-0.001048367004841566,
0.015987157821655273,
0.023395385593175888,
-0.02938939817249775,
0.0155001450330019,
0.021428599953651428,
0.008897364139556885,
0.010573814623057842,
-0.04532972723245621,
-0.017373275011777878,
-0.02393859252333641,
-0.054807763546705246,
-0.0011273897252976894,
0.003938254434615374,
0.003992106765508652,
-0.044580478221178055,
-0.030101187527179718,
-0.00007020576595095918,
0.022196581587195396,
-0.025886647403240204,
-0.003999131266027689,
0.02978275530040264,
-0.006167278159409761,
-0.02161591127514839,
-0.03459669649600983,
-0.035214830189943314,
0.041920632123947144,
0.00041267380584031343,
-0.007642367389053106,
0.001018514041788876,
-0.03366013243794441,
0.04506748914718628,
-0.02298329584300518,
-0.020173601806163788,
0.0012573380954563618,
0.014207685366272926,
0.006106401327997446,
-0.014797721058130264,
0.015284734778106213,
0.029726561158895493,
0.03251752629876137,
0.040047504007816315,
0.02197180688381195,
0.014863280579447746,
0.005811383482068777,
0.008297963067889214,
0.019724052399396896,
-0.02369508519768715,
-0.016062084585428238,
0.006204740609973669,
0.018206816166639328,
-0.013833059929311275,
0.012868397869169712,
-0.006733899936079979,
0.04338167607784271,
0.011501014232635498,
-0.007506565656512976,
0.010386502370238304,
0.011847542598843575,
-0.006644926033914089,
0.0028963261283934116,
-0.005984648130834103,
-0.029820218682289124,
0.055070001631975174,
-0.02716037444770336,
0.0006397907272912562,
0.0023062904365360737,
-0.0130838081240654,
-0.0029173989314585924,
-0.02021106518805027,
0.028396639972925186,
-0.02373254857957363,
0.04169585928320885,
-0.011988027021288872,
0.0034231438767164946,
0.03791213780641556,
0.02697306126356125,
0.005300955846905708,
0.009777734987437725,
0.010770493187010288,
0.011088925413787365,
0.07964545488357544,
-0.01675514131784439,
-0.015209809876978397,
-0.00371113745495677,
0.019592931494116783,
0.026130152866244316,
0.026748286560177803,
-0.008382253348827362,
0.054470598697662354,
0.010901612229645252,
0.03967287763953209,
-0.008363522589206696,
-0.007609587628394365,
0.05589417740702629,
0.026748286560177803,
0.029857680201530457,
0.018534613773226738,
0.007220913656055927,
-0.031112678349018097,
0.0196116641163826,
-0.005418026354163885,
0.01025538332760334,
0.015518875792622566,
0.07462546974420547,
-0.016268128529191017,
0.020304720848798752,
0.02056695893406868,
-0.03126252815127373,
-0.024406874552369118,
-0.06245012953877449,
0.009309452958405018,
0.022608671337366104,
-0.01159466989338398,
0.00711789121851325,
0.004530631471425295,
0.02081046625971794,
0.006757313851267099,
0.004369074013084173,
-0.01642734371125698,
0.013917350210249424,
0.033341702073812485,
-0.05428328737616539,
-0.017729168757796288,
-0.011763252317905426,
0.04375629872083664,
-0.008349473588168621,
-0.001915274653583765,
-0.03454050421714783,
0.01050825510174036,
-0.00240697106346488,
-0.017719803377985954,
0.015041228383779526,
0.025118663907051086,
-0.03907347843050957,
-0.04274481162428856,
0.004650043323636055,
-0.017579318955540657,
0.007548711262643337,
-0.03195558488368988,
-0.016998648643493652,
0.003472313517704606,
0.028415370732545853,
-0.0012503138277679682,
0.007220913656055927,
0.01836603321135044,
-0.009290721267461777,
0.004640677943825722,
-0.003512117313221097,
0.035664383322000504,
0.010817321948707104,
-0.007843729108572006,
0.06563445180654526,
0.026298735290765762,
0.006045524962246418,
-0.020997779443860054,
-0.0391109399497509,
0.036413632333278656,
0.019274501129984856,
-0.010124264284968376,
0.015528242103755474,
-0.08264246582984924,
-0.0013779207365587354,
0.024931350722908974,
-0.006106401327997446,
0.0021131238900125027,
-0.039036013185977936,
0.002310973359271884,
0.02197180688381195,
-0.024369413033127785,
0.032667376101017,
0.0023027784191071987,
0.010948440991342068,
0.01675514131784439,
0.00470389612019062,
-0.007740706671029329,
-0.008658540435135365,
-0.021840687841176987,
0.02303948998451233,
-0.05196060612797737,
0.02661716751754284,
-0.01232519093900919,
-0.00316324713639915,
0.014704065397381783,
-0.028715072199702263,
0.0074597373604774475,
-0.006855653133243322,
-0.0037954282015562057,
0.0392233282327652,
0.01589350216090679,
0.03345409035682678,
-0.027385151013731956,
-0.05214792117476463,
0.023376652970910072,
0.036170125007629395,
-0.002319168299436569,
0.015696823596954346,
0.023507772013545036,
0.005956551060080528,
0.07709800451993942,
0.007946751080453396,
0.027909627184271812,
0.015453316271305084,
-0.026935599744319916,
0.00622347230091691,
-0.003348218509927392,
0.0261676162481308,
0.04375629872083664,
0.051286280155181885,
-0.00503871776163578,
0.020398378372192383,
-0.001506698434241116,
0.005731775425374508,
0.0170548427850008,
0.06540967524051666,
-0.0293332040309906,
0.00382352527230978,
0.012287728488445282,
-0.04053451865911484,
-0.03549579903483391,
-0.03512117266654968,
0.019480545073747635,
-0.03592662140727043,
-0.010096167214214802,
0.00951081421226263,
-0.013495896942913532,
0.02107270434498787,
-0.006218789145350456,
-0.003252220805734396,
-0.007145988289266825,
0.03291088342666626,
0.005108959972858429,
0.004996572621166706,
-0.0050855460576713085,
-0.02968909963965416,
0.030213575810194016,
-0.023357922211289406,
-0.0170829389244318,
0.003626846708357334,
-0.0029923240654170513,
0.007918654009699821,
-0.006780728232115507,
0.0002597503480501473,
-0.01335541158914566,
-0.00435970863327384,
-0.02500627562403679,
0.012493772432208061,
0.012606159783899784,
0.015415853820741177,
0.005624070763587952,
0.0059378198347985744,
0.02086666040122509,
0.028640147298574448,
-0.04075929522514343,
0.012905861251056194,
0.03543960675597191,
0.003989765420556068,
0.009768369607627392,
-0.03557072579860687,
-0.03986019268631935,
-0.03484020382165909,
0.012390750460326672,
-0.004106835927814245,
-0.0439436137676239,
0.04701554402709007,
0.010498889721930027,
0.01785092242062092,
-0.02212165668606758,
0.01713913306593895,
0.06083923950791359,
-0.009295403957366943,
-0.01123877614736557,
-0.04420585185289383,
0.028209326788783073,
0.015472047962248325,
-0.02051076665520668,
0.020285990089178085,
0.016062084585428238,
0.04978777840733528,
0.01028347946703434,
-0.0018719586078077555,
-0.0026762334164232016,
-0.04461793974041939,
-0.008911412209272385,
-0.03708795830607414,
0.00744568882510066,
-0.008082552812993526,
0.026748286560177803,
0.036713335663080215,
0.00217985431663692,
-0.021634643897414207,
-0.026692092418670654,
-0.007806266192346811,
0.030026262626051903,
-0.010648740455508232,
0.0670580267906189,
-0.000126582570374012,
-0.03637617081403732,
-0.017363907769322395,
0.008237086236476898,
-0.028864922001957893,
-0.010948440991342068,
0.05192314460873604,
-0.0004030154668726027,
-0.005750507116317749,
-0.049225836992263794,
-0.0054133436642587185,
-0.039298251271247864,
0.02006121538579464,
-0.0032920248340815306,
-0.01955546997487545,
-0.02157844975590706,
-0.006307763047516346,
-0.000018841046767192893,
0.028565222397446632,
-0.006321811582893133,
0.016670851036906242,
-0.028509028255939484,
0.030157381668686867,
-0.029145892709493637,
0.016043351963162422,
-0.0005768652772530913,
0.004481461830437183,
-0.04450555145740509,
-0.051585979759693146,
-0.026579704135656357,
0.002617698162794113,
-0.012353288009762764,
-0.0026013082824647427,
0.003645577933639288,
-0.030063726007938385,
0.01824427954852581,
0.030157381668686867,
0.037612434476614,
-0.03937317803502083,
0.014535482972860336,
-0.011210679076611996,
0.03558945655822754,
-0.008752197027206421,
-0.03302326798439026,
-0.016389882192015648,
-0.022308969870209694,
0.010377136059105396,
-0.013280486688017845,
0.0054789031855762005,
-0.00008721758058527485,
0.05169836804270744,
0.02292710170149803,
-0.017841557040810585,
0.01847841963171959,
0.03174954280257225,
-0.0212225541472435,
0.019592931494116783,
-0.013523993082344532,
-0.048101961612701416,
-0.0769481509923935,
0.05285970866680145,
-0.03877377510070801,
-0.0004375512944534421,
0.016230665147304535,
-0.030101187527179718,
0.003118760185316205,
-0.02912716008722782,
-0.015443950891494751,
-0.014385633170604706,
-0.030887901782989502,
-0.0069680409505963326,
-0.010882881470024586,
-0.022215314209461212,
0.030026262626051903,
0.053309258073568344,
-0.00338333984836936,
0.03834295645356178,
0.027310224249958992,
0.008560201153159142,
-0.0021423916332423687,
-0.05368388444185257,
0.008073187433183193,
-0.06113893911242485,
-0.030681857839226723,
-0.023601429536938667,
-0.019742783159017563,
0.006818190682679415,
-0.027104180306196213,
0.020604422315955162,
-0.0024912620428949594,
-0.0002631161187309772,
0.00446273060515523,
-0.04712793231010437,
-0.05787969380617142,
0.00013419215974863619,
-0.05754253268241882,
-0.00328265898860991,
-0.014835184440016747,
-0.021241286769509315,
-0.028789997100830078,
-0.016595926135778427,
0.06859399378299713,
-0.04274481162428856,
0.01358018722385168,
-0.023826204240322113,
0.0005197933642193675,
-0.0389985516667366,
0.041508544236421585,
-0.022908370941877365,
-0.014919474720954895,
-0.0649975836277008,
0.0008224208140745759,
-0.03079424612224102,
-0.02626127190887928,
0.0041466401889920235,
0.012231534346938133,
-0.03377252072095871,
0.006279665976762772,
0.0018309839069843292,
-0.03720034658908844,
-0.015434585511684418,
-0.00788587424904108,
-0.0038680119905620813,
0.0022208290174603462,
0.0017478637164458632,
-0.026036497205495834,
-0.01441373024135828,
-0.014685333706438541,
0.04626629501581192,
0.005942502524703741,
-0.01651163399219513,
-0.001319385482929647,
-0.00009394914377480745,
-0.026935599744319916,
0.033997297286987305,
0.023620160296559334,
-0.03115013986825943,
0.03328550606966019,
0.02182195708155632,
0.0019187867874279618,
0.05503254011273384,
0.032274018973112106,
-0.01292459201067686,
0.005567876622080803,
0.005474220495671034,
0.053047019988298416,
-0.020192334428429604,
-0.04971285164356232,
0.04885121062397957,
-0.004963792860507965,
-0.021260017529129982,
-0.008934826590120792,
-0.01627749390900135,
-0.031580958515405655,
0.015312831848859787,
-0.020735541358590126,
0.013046345673501492,
-0.016380514949560165,
-0.054657913744449615,
-0.00031345649040304124,
0.019330693408846855,
-0.02908969856798649,
0.002528724493458867,
-0.019518006592988968,
0.03678825870156288,
-0.004991889465600252
] |
AI companies are attempting to create AI systems that outperform humans at
most economically valuable work. Current AI models are already automating away
the livelihoods of some artists, actors, and writers. But there is infighting
between those who prioritize current harms and future harms. We construct a
game-theoretic model of conflict to study the causes and consequences of this
disunity. Our model also helps explain why throughout history, stakeholders
sharing a common threat have found it advantageous to unite against it, and why
the common threat has in turn found it advantageous to divide and conquer.
Under realistic parameter assumptions, our model makes several predictions
that find preliminary corroboration in the historical-empirical record. First,
current victims of AI-driven disempowerment need the future victims to realize
that their interests are also under serious and imminent threat, so that future
victims are incentivized to support current victims in solidarity. Second, the
movement against AI-driven disempowerment can become more united, and thereby
more likely to prevail, if members believe that their efforts will be
successful as opposed to futile. Finally, the movement can better unite and
prevail if its members are less myopic. Myopic members prioritize their future
well-being less than their present well-being, and are thus disinclined to
solidarily support current victims today at personal cost, even if this is
necessary to counter the shared threat of AI-driven disempowerment. | [
-0.028514567762613297,
-0.053198233246803284,
-0.03708473592996597,
-0.019756803289055824,
0.017851226031780243,
-0.007518643978983164,
-0.027467980980873108,
-0.0017969707259908319,
-0.012470186688005924,
0.07207629829645157,
-0.015451973304152489,
0.006077117752283812,
0.034418899565935135,
-0.06378258764743805,
-0.04344324767589569,
0.0037519168108701706,
0.03281939774751663,
0.03686751797795296,
-0.028139377012848854,
-0.06054408848285675,
-0.02312365546822548,
-0.005785850808024406,
-0.06291372328996658,
-0.0036803341936320066,
-0.006615221966058016,
0.004680022597312927,
-0.0166762825101614,
-0.024170244112610817,
-0.06401954591274261,
0.04289033263921738,
0.013852471485733986,
-0.0016599763184785843,
-0.0006315932259894907,
-0.05193442851305008,
0.017880845814943314,
0.008214723318815231,
-0.011324864812195301,
0.011107648722827435,
-0.004544262308627367,
0.08475382626056671,
-0.030647236853837967,
0.017979580909013748,
-0.007706239819526672,
-0.04877492040395737,
0.016528181731700897,
-0.005613064859062433,
-0.0362553633749485,
-0.027744438499212265,
-0.013072468340396881,
-0.021267443895339966,
0.0339844673871994,
-0.043996162712574005,
0.021484659984707832,
-0.04486502707004547,
-0.029837612062692642,
-0.009893212467432022,
0.03514953702688217,
-0.11081977188587189,
0.022432513535022736,
0.01443500630557537,
0.010120302438735962,
0.016429446637630463,
-0.00856523122638464,
0.015916025266051292,
-0.019964147359132767,
-0.025809237733483315,
-0.01379323098808527,
0.06362461298704147,
-0.015649443492293358,
0.001509406021796167,
-0.014217790216207504,
0.011176763102412224,
-0.024071509018540382,
-0.0505126491189003,
-0.002900330349802971,
-0.021227950230240822,
0.037203218787908554,
0.06879830360412598,
-0.014425133354961872,
-0.01815730333328247,
-0.03445839509367943,
0.02091199904680252,
-0.003712422912940383,
-0.017722871154546738,
0.046010348945856094,
0.011038534343242645,
-0.009656249545514584,
-0.07713150978088379,
0.012697276659309864,
0.0062005361542105675,
-0.09881363809108734,
0.034873079508543015,
-0.015886405482888222,
-0.02517733722925186,
-0.006240030284970999,
0.0030879261903464794,
-0.008041937835514545,
-0.004435654263943434,
-0.035722196102142334,
-0.053198233246803284,
0.016834259033203125,
0.012835505418479443,
0.02940317988395691,
-0.04312729835510254,
-0.008372698910534382,
-0.04304830729961395,
-0.05110505595803261,
0.059280287474393845,
0.03341180831193924,
0.23159199953079224,
-0.0336882621049881,
0.028415832668542862,
-0.03127913922071457,
-0.010495494119822979,
-0.02744823321700096,
0.023143403232097626,
-0.07148388773202896,
-0.03463611751794815,
0.029087228700518608,
0.011206382885575294,
-0.05793749541044235,
0.025848733261227608,
0.05904332175850868,
-0.02480214461684227,
-0.011591448448598385,
0.05383013188838959,
-0.019045915454626083,
-0.011838285252451897,
-0.006634968798607588,
0.03607764095067978,
-0.013121835887432098,
0.03631460666656494,
-0.03193078562617302,
0.04182399809360504,
0.001073739374987781,
-0.013506900519132614,
0.03951360657811165,
-0.013891966082155704,
-0.0042875525541603565,
0.05031517893075943,
-0.009947516024112701,
-0.02440720610320568,
-0.054935961961746216,
0.011038534343242645,
-0.04261387512087822,
-0.022886693477630615,
-0.005079898051917553,
0.0459708534181118,
0.004104893188923597,
-0.0017994390800595284,
-0.04841947555541992,
0.02796165458858013,
-0.007785227615386248,
0.05173695832490921,
0.059477753937244415,
-0.032029520720243454,
-0.007879025302827358,
0.011611195281147957,
-0.024111002683639526,
0.03449788689613342,
0.0326811708509922,
-0.027665449306368828,
-0.030548501759767532,
0.039592597633600235,
0.017999326810240746,
-0.012559047900140285,
0.03779562562704086,
0.009429159574210644,
-0.030331285670399666,
0.06078105419874191,
-0.004704706370830536,
-0.03651207312941551,
-0.03613688424229622,
0.027152029797434807,
-0.0025868478696793318,
-0.012025880627334118,
-0.009493337012827396,
-0.001504469313658774,
-0.04447008669376373,
0.025493288412690163,
-0.03597890958189964,
-0.02531556598842144,
-0.01298360712826252,
-0.011048407293856144,
0.019559334963560104,
0.08191026747226715,
0.07172085344791412,
-0.013032974675297737,
0.020181363448500633,
-0.005514330230653286,
0.004159197211265564,
-0.021662382408976555,
0.03884221240878105,
0.01872009038925171,
-0.004230780061334372,
-0.06220283359289169,
-0.0083381412550807,
-0.030805211514234543,
-0.00932055152952671,
0.0010928692063316703,
0.00828383769840002,
-0.032542940229177475,
-0.003384130308404565,
0.031298886984586716,
0.036176376044750214,
0.019194016233086586,
0.010248657315969467,
-0.032661423087120056,
0.011186636053025723,
-0.027704942971467972,
0.0002516190870665014,
-0.03580118715763092,
-0.012628162279725075,
-0.019569208845496178,
-0.07586770504713058,
0.010702836327254772,
0.010377012193202972,
0.07049654424190521,
-0.027310004457831383,
-0.014750957489013672,
-0.010613975115120411,
0.028336845338344574,
-0.00681269122287631,
-0.034932319074869156,
0.05343519523739815,
-0.017505653202533722,
-0.007143452297896147,
-0.004936732817441225,
-0.010011693462729454,
-0.06698159128427505,
-0.00469483295455575,
0.02926495112478733,
0.029185963794589043,
0.06078105419874191,
0.04474654421210289,
-0.024960121139883995,
0.009315614588558674,
0.02091199904680252,
-0.00011578181147342548,
0.029027987271547318,
0.009572324343025684,
-0.06658665090799332,
0.011729677207767963,
0.010515240952372551,
0.050552140921354294,
0.014523867517709732,
-0.010396759025752544,
0.04087614640593529,
0.0005489029572345316,
0.037519168108701706,
-0.007375478744506836,
-0.039987534284591675,
-0.0014168423367664218,
0.002078364370390773,
0.03353028744459152,
0.06014915183186531,
0.02474290505051613,
0.002537480555474758,
-0.005242810118943453,
0.008599787950515747,
0.02332112565636635,
0.010692963376641273,
-0.033708009868860245,
0.10157821327447891,
-0.05240835249423981,
-0.023024920374155045,
0.029561154544353485,
0.05651571601629257,
-0.0007769183139316738,
-0.007276744116097689,
-0.018700342625379562,
-0.006896615494042635,
-0.03114091046154499,
-0.0048059094697237015,
-0.03469535708427429,
-0.016320837661623955,
0.002902798820286989,
0.017258817330002785,
0.008466496132314205,
-0.02861330285668373,
0.02033933810889721,
-0.024387460201978683,
0.08633358031511307,
-0.061689410358667374,
-0.05679217353463173,
-0.051381513476371765,
-0.012835505418479443,
-0.0116506889462471,
-0.05458051711320877,
-0.015343365259468555,
-0.01658742129802704,
0.009779667481780052,
0.009271183982491493,
-0.00402837386354804,
0.018729964271187782,
-0.005588381551206112,
0.03404370695352554,
0.02571050450205803,
-0.01983579248189926,
-0.005223063286393881,
0.0323849655687809,
0.0018191860290244222,
0.004455401096493006,
0.0036235617008060217,
-0.04916985705494881,
0.01268740277737379,
0.027231017127633095,
0.06571778655052185,
-0.015758050605654716,
-0.04545743390917778,
-0.01867072284221649,
-0.023913532495498657,
-0.039849307388067245,
0.03347104787826538,
0.004480084870010614,
-0.0016501029022037983,
0.027941906824707985,
0.01727856509387493,
-0.008505990728735924,
-0.013427913188934326,
0.011848158203065395,
-0.026184430345892906,
-0.05864838510751724,
-0.004556604195386171,
-0.0119765130802989,
0.03734144568443298,
0.013072468340396881,
-0.0033002058044075966,
-0.009123082272708416,
0.02628316543996334,
-0.04364071786403656,
0.014681843109428883,
-0.005361291579902172,
-0.01476083043962717,
0.025098349899053574,
0.010702836327254772,
-0.04067867621779442,
0.020191237330436707,
-0.020072754472494125,
-0.03645283356308937,
-0.02867254428565502,
-0.03773638606071472,
-0.00046436142292805016,
0.0018265910912305117,
-0.023913532495498657,
-0.015866659581661224,
-0.055014949291944504,
0.016152989119291306,
0.017397046089172363,
0.04680022597312927,
0.0012144362553954124,
-0.016755269840359688,
0.01611349545419216,
0.012815757654607296,
0.027231017127633095,
-0.0075532011687755585,
0.0479060523211956,
-0.018107935786247253,
0.006106738466769457,
0.0038901453372091055,
0.012144362553954124,
-0.0718788281083107,
-0.017120588570833206,
-0.0014439943479374051,
-0.04577338695526123,
-0.08104140311479568,
-0.010604102164506912,
-0.015442099422216415,
-0.008041937835514545,
0.01434614509344101,
-0.04107361659407616,
0.03037077933549881,
0.025157589465379715,
-0.026717597618699074,
-0.05687116086483002,
0.007977760396897793,
0.02738899365067482,
-0.023005174472928047,
-0.042060963809490204,
0.03200977295637131,
-0.023064415901899338,
0.010189415886998177,
0.04423312470316887,
0.01710084266960621,
-0.031101416796445847,
-0.004391223657876253,
0.015037287957966328,
0.007839531637728214,
0.026460887864232063,
0.038822464644908905,
0.01075220387428999,
-0.020951492711901665,
-0.0028460263274610043,
-0.02707304246723652,
0.05446203425526619,
0.011838285252451897,
0.05627875402569771,
-0.011522334069013596,
0.0018401670968160033,
0.0013872218551114202,
0.0029447609558701515,
0.02804064191877842,
0.05225037783384323,
0.040560197085142136,
0.024782398715615273,
0.017367426306009293,
-0.03232572600245476,
-0.007227376569062471,
-0.0414290614426136,
-0.03826955333352089,
0.0005788318812847137,
0.0802910178899765,
-0.03613688424229622,
-0.050078216940164566,
0.024979867041110992,
0.004494895227253437,
-0.0033298262860625982,
-0.010534987784922123,
0.020131995901465416,
-0.02971913106739521,
-0.024821892380714417,
0.005203316453844309,
0.1016571968793869,
0.015422352589666843,
0.0007263168226927519,
-0.04312729835510254,
0.016212230548262596,
-0.06243979558348656,
0.010159796103835106,
-0.009853718802332878,
0.04008626937866211,
-0.00921687949448824,
-0.00011323630315018818,
-0.0011249579256400466,
-0.009132955223321915,
-0.004018500447273254,
-0.02809988334774971,
0.055330898612737656,
0.008540547452867031,
-0.021148962900042534,
0.0019031104166060686,
-0.02537480555474758,
0.017367426306009293,
-0.011176763102412224,
-0.0453389547765255,
-0.0074495295993983746,
0.015195263549685478,
-0.060504596680402756,
-0.0005593935493379831,
-0.019875286146998405,
-0.047234658151865005,
-0.006388131994754076,
-0.1062384843826294,
0.018196796998381615,
0.03588017448782921,
-0.01243069302290678,
0.010643595829606056,
-0.07377453148365021,
0.04656326398253441,
-0.03967158496379852,
0.006427626125514507,
0.0757492259144783,
0.034162189811468124,
0.023459354415535927,
-0.036551568657159805,
0.035327259451150894,
-0.004699769429862499,
-0.012470186688005924,
-0.002762101823464036,
0.0217018760740757,
-0.040046773850917816,
-0.03392522782087326,
0.003203939413651824,
0.011255750432610512,
0.02272871695458889,
-0.022550994530320168,
0.02511809580028057,
-0.015649443492293358,
-0.035959161818027496,
0.00031749362824484706,
0.03728220611810684,
0.012874999083578587,
0.02991659939289093,
-0.07906670868396759,
-0.011216256767511368,
0.04099462926387787,
-0.012549174949526787,
-0.003317484399303794,
-0.0003366234595887363,
-0.02517733722925186,
0.03347104787826538,
-0.055646851658821106,
0.04916985705494881,
-0.005198379512876272,
-0.04557591676712036,
-0.012312211096286774,
0.007281680591404438,
-0.0011391510488465428,
0.04332476481795311,
0.0229854267090559,
-0.026500381529331207,
-0.040797159075737,
-0.022294284775853157,
0.0019018762977793813,
0.0724712386727333,
-0.03199002891778946,
0.05059163644909859,
-0.018019074574112892,
-0.012924366630613804,
0.011048407293856144,
0.017169956117868423,
0.06105750799179077,
0.0026436203625053167,
-0.008683713153004646,
0.03623561933636665,
0.0035223588347434998,
0.02744823321700096,
0.04474654421210289,
-0.0022733653895556927,
-0.026757091283798218,
-0.0047392635606229305,
-0.05450152978301048,
-0.028020894154906273,
0.053316712379455566,
-0.026500381529331207,
0.05627875402569771,
0.017347678542137146,
-0.017436539754271507,
-0.002512797014787793,
-0.011305117979645729,
0.00009572633280185983,
0.04869592934846878,
-0.057068631052970886,
-0.035445742309093475,
-0.014494246803224087,
-0.009108271449804306,
-0.0013267468893900514,
0.036038149148225784,
-0.005958636291325092,
0.008876245468854904,
-0.01968768984079361,
0.035445742309093475,
0.008135735057294369,
0.052487343549728394,
-0.036294858902692795,
0.011275497265160084,
0.0582929402589798,
-0.014553488232195377,
-0.02017148956656456,
-0.009058904834091663,
0.016626914963126183,
-0.02085275948047638,
-0.011443346738815308,
-0.01644919253885746,
-0.04000728204846382,
-0.029225457459688187,
0.0466422513127327,
-0.00920700654387474,
-0.007444592658430338,
-0.01275651715695858,
0.0007466808310709894,
-0.04687921330332756,
-0.012470186688005924,
0.0027769121807068586,
-0.04482553154230118,
-0.000044854845327790827,
0.022432513535022736,
0.06623120605945587,
-0.01123600360006094,
0.03445839509367943,
0.00012912641977891326,
-0.049762263894081116,
-0.023024920374155045,
0.005993193481117487,
-0.035465486347675323,
0.016893498599529266,
-0.02227453701198101,
-0.011996260844171047,
0.002362226601690054,
-0.04261387512087822,
-0.014040067791938782,
0.01042637974023819,
-0.013852471485733986,
0.05710812285542488,
-0.025532782077789307,
-0.020438073202967644,
0.0032928006257861853,
-0.04364071786403656,
0.011660562828183174,
0.0019018762977793813,
-0.0157086830586195,
0.07863228023052216,
0.017515527084469795,
0.005677242763340473,
0.00467261765152216,
-0.01838439330458641,
0.03283914551138878,
-0.01515576895326376,
0.033313073217868805,
-0.08625459671020508,
0.026204176247119904,
0.016518307849764824,
0.04048120975494385,
0.026184430345892906,
-0.02855406142771244,
0.02377530373632908,
0.0016118432395160198,
0.02176111750304699,
-0.0031521038617938757,
0.01531374454498291,
0.03410295024514198,
-0.057068631052970886,
0.024644169956445694,
-0.011127395555377007,
0.06338764727115631,
-0.047945547848939896,
0.017031727358698845,
0.04285084083676338,
-0.02492062747478485,
0.005469899624586105,
0.03283914551138878,
-0.02144516631960869,
0.08238419145345688,
0.031575340777635574,
0.06188688054680824,
0.024308471009135246,
-0.026855826377868652,
0.021780865266919136,
0.005089771468192339,
0.0002477622765582055,
-0.0369267612695694,
0.035899918526411057,
-0.004415907431393862,
0.00006626021058764309,
0.02091199904680252,
-0.012963860295712948,
0.008387508802115917,
0.02707304246723652,
0.007533453870564699,
-0.020675037056207657,
-0.008817004971206188,
0.007844468578696251,
0.0039222342893481255,
-0.007069400977343321,
0.00943409651517868,
0.04462806507945061,
0.013131708838045597,
-0.059082817286252975,
0.009073714725673199,
-0.0014057346852496266,
0.006452309433370829,
0.02466391585767269,
-0.011107648722827435,
0.04447008669376373,
-0.019904905930161476,
-0.02195858769118786,
-0.014592981897294521,
0.01912490278482437,
0.00158222287427634,
0.03548523411154747,
0.024426953867077827,
-0.008925613015890121,
0.008580041117966175,
0.0018994079437106848,
0.024881131947040558,
0.006738639902323484,
0.043087802827358246,
0.022847197949886322,
-0.02324213832616806,
0.04589186608791351,
-0.022629981860518456,
-0.004665212240070105,
-0.03216775134205818,
0.007242186926305294,
0.016004886478185654,
-0.016784891486167908,
0.03611713647842407,
0.10221011191606522,
0.03576169162988663,
-0.027704942971467972,
-0.020497314631938934,
0.011522334069013596,
-0.014948426745831966,
-0.003374256892129779,
-0.012144362553954124,
-0.021800611168146133,
0.0036186249926686287,
0.01670590415596962,
-0.02602645382285118,
-0.04616832360625267,
-0.011848158203065395,
-0.015451973304152489,
0.012894745916128159,
0.024565182626247406,
0.017229197546839714,
0.0757492259144783,
-0.023676570504903793,
-0.005953699816018343,
0.0031150784343481064,
0.011058281175792217,
-0.019677815958857536,
-0.009409412741661072,
0.00529217766597867,
0.0005782148218713701,
-0.0011169357458129525,
-0.014267157763242722,
0.01220360305160284,
0.008851561695337296,
-0.03327357769012451,
0.013961080461740494,
-0.0013267468893900514,
0.057463567703962326,
-0.013497027568519115,
-0.0006053668330423534,
0.05343519523739815,
0.018858319148421288,
0.04897238686680794,
0.019480347633361816,
-0.005706863012164831,
-0.020013514906167984,
0.0531192421913147,
-0.00953283067792654,
0.01926313154399395,
-0.04810352250933647,
-0.02537480555474758,
-0.002132668625563383,
0.0011706227669492364,
-0.020694782957434654,
-0.04514148458838463,
-0.007533453870564699,
0.04841947555541992,
-0.02466391585767269,
-0.012786137871444225,
0.022886693477630615,
0.013447660021483898,
-0.040560197085142136,
-0.012953986413776875,
0.011571701616048813,
0.031298886984586716,
0.03139761835336685,
0.029699383303523064,
0.015817292034626007,
0.04798504337668419,
-0.004057994112372398,
0.00256710103712976,
0.029027987271547318,
-0.006743576843291521,
-0.0012761454563587904,
-0.03773638606071472,
0.049248844385147095,
0.056950148195028305,
-0.04083665460348129,
0.09597008675336838,
-0.0029965967405587435,
0.0009460013825446367,
-0.026638610288500786,
-0.01324031688272953,
-0.006047497503459454,
-0.022353526204824448,
0.006165978964418173,
-0.028573809191584587,
0.039592597633600235,
-0.021129215136170387,
0.002675709081813693,
0.02343960665166378,
-0.011897525750100613,
-0.014908933080732822,
-0.0524478480219841,
0.016409698873758316,
0.004889833740890026,
0.012638035230338573,
-0.024782398715615273,
0.0018636166350916028,
-0.033313073217868805,
-0.009912959299981594,
0.003946917597204447,
0.007173072546720505,
-0.032858893275260925,
-0.009883338585495949,
-0.001926559954881668,
-0.04233742132782936,
0.046721238642930984,
-0.017861098051071167,
0.022373272106051445,
-0.00830852147191763,
0.03542599454522133,
0.0016871284460648894,
-0.038822464644908905,
0.010140049271285534,
0.05446203425526619,
-0.03534700721502304,
0.009009537287056446,
0.003445839509367943,
0.010762076824903488,
0.01611349545419216,
0.0011021256214007735,
-0.041547540575265884,
0.0010941033251583576,
0.003937044180929661,
-0.010026504285633564,
0.05363266542553902,
-0.013684622943401337,
0.0034902701154351234,
-0.022057320922613144,
-0.019845664501190186,
-0.03834854066371918,
0.007227376569062471,
-0.018759584054350853,
0.0026683039031922817,
0.0323849655687809,
0.033253829926252365,
0.02616468258202076,
0.045812878757715225,
0.0012798479292541742,
0.010436252690851688,
0.0024745373521000147,
-0.013279810547828674,
0.04356173053383827,
-0.030331285670399666,
-0.008974979631602764,
-0.0008534376393072307,
0.014908933080732822,
0.03165433183312416,
0.009226753376424313,
-0.04755060747265816,
0.005884585436433554,
0.043482743203639984,
-0.0062005361542105675,
0.01622210443019867,
0.012065374292433262,
-0.009473590180277824,
0.011117521673440933,
-0.030252298340201378,
0.025157589465379715,
-0.05264531821012497,
-0.004050589166581631,
-0.02124769799411297,
-0.014079561457037926,
-0.019075535237789154,
0.026065949350595474,
-0.024881131947040558,
-0.019954273477196693,
-0.003169382456690073,
-0.022629981860518456,
0.020299844443798065,
-0.01650843396782875,
-0.011344611644744873,
-0.0037395749241113663,
0.010999040678143501,
-0.02253124862909317,
0.03477434441447258,
0.022550994530320168,
0.043482743203639984,
-0.007992570288479328,
-0.01664666272699833,
-0.019450725987553596,
0.019223637878894806,
0.020773770287632942,
-0.012480060569941998,
0.016626914963126183,
-0.008150545880198479,
-0.012726896442472935,
0.011206382885575294,
-0.016863878816366196,
0.0157086830586195,
-0.009750046767294407,
0.037400685250759125,
-0.05450152978301048,
0.00024652809952385724,
-0.03903968259692192,
-0.011749424040317535,
0.013358798809349537,
0.022294284775853157,
0.0317530632019043,
0.012085122056305408,
0.009799414314329624,
0.021148962900042534,
-0.010475746355950832,
-0.0075532011687755585,
-0.018048694357275963,
0.016143115237355232,
-0.0032582436688244343,
-0.014997794292867184,
-0.023735810071229935,
0.003621093463152647,
-0.024071509018540382,
0.014158549718558788,
-0.013970953412353992,
-0.03068673051893711,
0.004709642846137285,
0.0036186249926686287,
0.016429446637630463,
-0.013842598535120487,
0.016893498599529266,
0.015047160908579826,
0.006476993206888437,
0.014691716060042381,
0.011571701616048813,
0.04190298542380333,
-0.02377530373632908,
0.007637125439941883,
-0.010317771695554256,
-0.020072754472494125,
-0.0031521038617938757,
0.051184043288230896,
0.019312499091029167,
0.0006516487337648869,
-0.01275651715695858,
0.05102606862783432,
-0.002799127483740449,
-0.029304444789886475,
-0.03621587157249451,
-0.006955856457352638,
-0.011601321399211884,
0.011097774840891361,
-0.01735755242407322,
-0.028277603909373283,
0.022649729624390602,
-0.0011008913861587644,
-0.03670954331755638,
0.04431211203336716,
-0.008412192575633526,
-0.021998081356287003,
0.020675037056207657,
-0.010327644646167755,
-0.010801571421325207,
-0.005037935916334391,
0.005790787283331156,
-0.031772810965776443,
-0.03445839509367943,
-0.029106976464390755,
0.018680596724152565,
0.04514148458838463,
-0.0103572653606534,
0.05039416626095772,
0.012717023491859436,
-0.04150804877281189,
0.031437113881111145,
-0.04506249725818634,
-0.028514567762613297,
-0.01466209627687931,
0.022195549681782722,
0.03773638606071472,
0.0472741536796093,
0.04020475223660469,
-0.007197756320238113,
0.044707052409648895,
0.03736119344830513,
-0.031200150027871132,
0.04644478112459183,
-0.03193078562617302,
0.014474499970674515,
-0.013378545641899109,
-0.0035766628570854664,
-0.028376339003443718,
0.006175852380692959,
-0.023854292929172516,
-0.07006210833787918,
-0.042060963809490204,
0.021583395078778267,
0.004211032763123512,
0.02266947738826275,
-0.07195781916379929,
-0.03193078562617302,
-0.014750957489013672,
0.031575340777635574,
0.003887677099555731,
-0.01480032503604889,
-0.032266486436128616,
-0.004475148394703865,
0.003877803450450301,
-0.023084161803126335,
-0.04707668349146843,
-0.01013017538934946,
0.01275651715695858,
-0.014721336774528027,
-0.015145896002650261,
0.001921623246744275,
0.028277603909373283,
0.016834259033203125,
0.02673734351992607,
-0.01735755242407322,
0.01849300041794777,
-0.03349079564213753,
-0.050473153591156006,
0.01411905512213707,
-0.03426092490553856,
0.014721336774528027,
-0.020319592207670212,
0.003769195405766368,
-0.01778211072087288,
0.052487343549728394,
-0.011295244097709656,
-0.016133243218064308,
-0.006797880865633488,
0.012124615721404552,
0.008436876349151134,
-0.004704706370830536,
0.03374750539660454,
0.015047160908579826,
-0.02590797282755375,
0.026105443015694618,
0.028218364343047142,
0.07156287878751755,
0.007410035934299231,
0.04502300173044205,
0.055133432149887085,
0.04289033263921738,
-0.047748077660799026,
0.013181076385080814,
0.021129215136170387,
0.01498792041093111,
0.002137605333700776,
0.006205473095178604,
-0.04265337064862251,
0.019480347633361816,
0.00025794428074732423,
-0.015432226471602917,
-0.0025695692747831345,
-0.057542555034160614,
0.024565182626247406,
0.03548523411154747,
0.015896279364824295,
-0.018818825483322144
] |
In recent years, artificial intelligence (AI) and machine learning (ML) are
reshaping society's production methods and productivity, and also changing the
paradigm of scientific research. Among them, the AI language model represented
by ChatGPT has made great progress. Such large language models (LLMs) serve
people in the form of AI-generated content (AIGC) and are widely used in
consulting, healthcare, and education. However, it is difficult to guarantee
the authenticity and reliability of AIGC learning data. In addition, there are
also hidden dangers of privacy disclosure in distributed AI training. Moreover,
the content generated by LLMs is difficult to identify and trace, and it is
difficult to cross-platform mutual recognition. The above information security
issues in the coming era of AI powered by LLMs will be infinitely amplified and
affect everyone's life. Therefore, we consider empowering LLMs using blockchain
technology with superior security features to propose a vision for trusted AI.
This paper mainly introduces the motivation and technical route of blockchain
for LLM (BC4LLM), including reliable learning corpus, secure training process,
and identifiable generated content. Meanwhile, this paper also reviews the
potential applications and future challenges, especially in the frontier
communication networks field, including network resource allocation, dynamic
spectrum sharing, and semantic communication. Based on the above work combined
and the prospect of blockchain and LLMs, it is expected to help the early
realization of trusted AI and provide guidance for the academic community. | [
-0.022138306871056557,
-0.02191169373691082,
-0.012995360419154167,
-0.005604303441941738,
0.03576992452144623,
0.0031115650199353695,
-0.017710644751787186,
0.019000593572854996,
-0.028675207868218422,
0.0405113585293293,
0.029965156689286232,
0.014660091139376163,
0.014581648632884026,
-0.012969212606549263,
-0.002684487495571375,
0.022312624379992485,
0.023114483803510666,
-0.03604883328080177,
0.029320182278752327,
-0.019436387345194817,
-0.004597620572894812,
-0.001538350828923285,
-0.046612463891506195,
-0.015575257129967213,
0.00982278399169445,
0.011156312189996243,
0.03270193934440613,
0.017013374716043472,
-0.04905290901660919,
0.0656827837228775,
0.035944242030382156,
-0.023114483803510666,
-0.025258587673306465,
-0.05801282078027725,
-0.0059050009585917,
-0.028832092881202698,
0.03282396122813225,
0.058640364557504654,
-0.06006976589560509,
0.004041984211653471,
0.04319584369659424,
0.019732726737856865,
-0.021214423701167107,
-0.0029633953236043453,
0.003224871354177594,
-0.03242303058505058,
-0.023898912593722343,
-0.051284171640872955,
-0.008480540476739407,
0.01798955351114273,
-0.008619993925094604,
-0.08213834464550018,
0.0669030100107193,
-0.06062758341431618,
-0.026548536494374275,
0.012515987269580364,
0.04988963156938553,
-0.06822782009840012,
0.03327718749642372,
-0.04145267233252525,
-0.04650787636637688,
0.032614778727293015,
0.0015339928213506937,
-0.01039803121238947,
-0.0319175124168396,
-0.06801863759756088,
-0.011705411598086357,
0.06132484972476959,
0.054770518094301224,
0.006131613627076149,
-0.06045326590538025,
0.034288227558135986,
0.04654273763298988,
-0.058222003281116486,
0.003841519122943282,
0.00612289784476161,
0.026165038347244263,
0.0656827837228775,
0.027158645913004875,
0.005652240943163633,
0.04058108478784561,
0.028256846591830254,
0.0057393996976315975,
0.00881174299865961,
0.06348638981580734,
0.055084288120269775,
-0.013605470769107342,
-0.06676355004310608,
0.02245207689702511,
0.0141197070479393,
-0.04403256997466087,
0.03632774204015732,
-0.02173737622797489,
-0.02478793077170849,
0.006000875495374203,
-0.0196455679833889,
-0.021458469331264496,
-0.028012800961732864,
-0.03264964371919632,
0.025694381445646286,
-0.016045914962887764,
0.00850232969969511,
-0.0085982047021389,
-0.0029176371172070503,
0.00166473095305264,
-0.057176098227500916,
-0.009221388958394527,
0.025764107704162598,
0.030836742371320724,
0.13289956748485565,
-0.02644394524395466,
-0.0012877696426585317,
-0.04333529993891716,
0.03855900093913078,
-0.03118537738919258,
0.03712959960103035,
-0.018181301653385162,
-0.05295761674642563,
0.01571471057832241,
-0.007155728060752153,
-0.06369556486606598,
0.030034882947802544,
0.011287049390375614,
-0.02276584878563881,
-0.028988979756832123,
0.10765840858221054,
-0.04065081104636192,
-0.03695528209209442,
0.012916916981339455,
0.04779782518744469,
-0.0386635921895504,
0.030296359211206436,
-0.03705987334251404,
0.005730683449655771,
0.05309707298874855,
0.05058690160512924,
-0.0019087751861661673,
0.026130173355340958,
0.027019193395972252,
-0.010964563116431236,
0.022016284987330437,
-0.019262069836258888,
-0.021284151822328568,
-0.002647445071488619,
-0.026897169649600983,
0.03758282586932182,
-0.024927383288741112,
0.07258575409650803,
-0.01663859374821186,
0.024108093231916428,
-0.02252180501818657,
0.04197562485933304,
0.010066828690469265,
0.0011009231675416231,
0.020482290536165237,
-0.021510763093829155,
0.05825686454772949,
-0.021144697442650795,
-0.026496240869164467,
-0.013614187017083168,
0.060801900923252106,
-0.04901804402470589,
0.04560142382979393,
0.034288227558135986,
0.06456715613603592,
0.005608661565929651,
0.05958167836070061,
0.034706588834524155,
-0.07907035946846008,
0.0619872584939003,
-0.018146438524127007,
0.04776296019554138,
-0.008837890811264515,
-0.031464286148548126,
-0.003865487640723586,
-0.00856769923120737,
-0.014224297367036343,
-0.014433478005230427,
-0.021824534982442856,
0.01725742034614086,
-0.024073228240013123,
0.0312899686396122,
0.0792098119854927,
0.02571181207895279,
-0.009177809581160545,
0.034044183790683746,
0.049506135284900665,
0.0141197070479393,
-0.001939280773513019,
-0.008419529534876347,
-0.006654565688222647,
-0.028518322855234146,
0.05700178071856499,
-0.057594459503889084,
0.005495354998856783,
-0.016342254355549812,
-0.055572379380464554,
0.004575830884277821,
0.03257991746068001,
-0.024718202650547028,
0.010755381546914577,
-0.017048239707946777,
0.027210941538214684,
0.004070310853421688,
-0.007674322463572025,
0.008633067831397057,
-0.0058309161104261875,
0.02928531914949417,
0.0005428352160379291,
0.00216480391100049,
-0.030122041702270508,
0.008458750322461128,
-0.04092971980571747,
-0.006519469898194075,
-0.021074971184134483,
-0.011583389714360237,
0.0113567765802145,
-0.024352136999368668,
0.0018815381918102503,
0.0006177371833473444,
0.015740858390927315,
-0.0006553243729285896,
0.05187685042619705,
-0.0613945797085762,
-0.020220814272761345,
-0.05762932449579239,
-0.028396299108862877,
0.062022119760513306,
-0.03350380063056946,
0.004333965480327606,
-0.008820459246635437,
0.05494483560323715,
0.008728942833840847,
0.0034601998049765825,
0.0460197851061821,
-0.06034867465496063,
0.008397739380598068,
0.0398838147521019,
0.0017638739664107561,
0.016185367479920387,
-0.007844281382858753,
-0.013553176075220108,
-0.048460230231285095,
-0.0245438851416111,
0.05794309452176094,
-0.003203081665560603,
-0.023585140705108643,
0.0011515840888023376,
-0.00307670165784657,
0.02626962773501873,
0.028309140354394913,
0.015331212431192398,
0.009561307728290558,
-0.007900934666395187,
-0.04197562485933304,
-0.00169523642398417,
0.050726354122161865,
-0.06543873995542526,
0.014424762688577175,
-0.014128423295915127,
0.058640364557504654,
-0.01276874728500843,
0.00920395739376545,
0.048216186463832855,
-0.011705411598086357,
-0.007269034627825022,
0.07628127932548523,
0.0124288285151124,
0.031098218634724617,
-0.007927082479000092,
-0.011374208144843578,
-0.013919241726398468,
-0.036850690841674805,
-0.0018630168633535504,
-0.04678678140044212,
-0.0472748726606369,
0.005582513753324747,
-0.018878571689128876,
-0.039186544716358185,
0.007861713878810406,
0.024561317637562752,
-0.029616521671414375,
0.010999426245689392,
-0.024456726387143135,
-0.058466047048568726,
-0.05431729182600975,
-0.046926237642765045,
-0.02307962067425251,
-0.06857645511627197,
0.015618836507201195,
-0.05131903290748596,
0.02578154020011425,
-0.04504361003637314,
-0.0029198159463703632,
0.0392911359667778,
-0.0102847246453166,
0.03346893563866615,
0.04891345277428627,
-0.016926215961575508,
0.01736200973391533,
-0.015104600228369236,
-0.03953517973423004,
-0.020116224884986877,
0.04009299725294113,
0.0050116246566176414,
0.03106335550546646,
0.01957584172487259,
0.04595005884766579,
-0.012559566646814346,
0.0005436522769741714,
0.0072298129089176655,
-0.03198723867535591,
-0.050900671631097794,
0.015540394000709057,
0.035578176379203796,
0.06432311236858368,
0.009753056801855564,
0.0066284178756177425,
-0.01957584172487259,
-0.019506113603711128,
0.0625799372792244,
0.03165603429079056,
-0.07084257900714874,
0.04922722652554512,
-0.013021507300436497,
-0.015366076491773129,
0.022382350638508797,
0.027106352150440216,
-0.016167936846613884,
0.0045104618184268475,
-0.07136553525924683,
-0.033608388155698776,
-0.031080788001418114,
0.0009048160864040256,
0.013178393244743347,
-0.04002326726913452,
-0.01811157539486885,
0.03576992452144623,
-0.03838468715548515,
-0.01791982538998127,
0.004201048519462347,
-0.06052299216389656,
-0.03719932585954666,
-0.02687973901629448,
-0.01706567034125328,
-0.025136565789580345,
-0.04514819756150246,
0.038942500948905945,
0.0072385286912322044,
0.03346893563866615,
0.000989251071587205,
0.011374208144843578,
0.0000959426470217295,
-0.006140329409390688,
0.011940740048885345,
-0.0066284178756177425,
0.0041422164067626,
-0.027228374034166336,
-0.057420141994953156,
0.029494499787688255,
0.04445093125104904,
-0.0484950914978981,
-0.06658923625946045,
0.003523389808833599,
-0.02245207689702511,
-0.06310288608074188,
-0.042951799929142,
-0.020726336166262627,
-0.008619993925094604,
-0.024822793900966644,
-0.018425345420837402,
0.06230102851986885,
0.010999426245689392,
0.004283849615603685,
0.020534586161375046,
0.02320164255797863,
0.009500296786427498,
-0.032684508711099625,
-0.030244063585996628,
0.049750179052352905,
-0.0008329101838171482,
0.02018595114350319,
0.049610722810029984,
0.02191169373691082,
-0.0325450524687767,
0.020290542393922806,
0.014607795514166355,
-0.0156449843198061,
0.0058222003281116486,
0.059198178350925446,
0.003115922911092639,
-0.025206292048096657,
-0.006671997252851725,
-0.053968656808137894,
0.07035449147224426,
0.012986644171178341,
-0.028919251635670662,
-0.013919241726398468,
0.02135387808084488,
-0.0576990507543087,
0.02670542150735855,
0.008432602509856224,
0.04622896760702133,
-0.00028190386365167797,
-0.03887277469038963,
0.004898318089544773,
-0.01034573558717966,
-0.004427661187946796,
0.04647301137447357,
-0.04389311373233795,
-0.0028653417248278856,
-0.04546197131276131,
-0.015758290886878967,
-0.012036614120006561,
-0.003187828930094838,
0.006157760974019766,
-0.05804768577218056,
-0.006227488163858652,
-0.002601686865091324,
-0.002423011464998126,
0.011121448129415512,
0.011583389714360237,
0.04288207367062569,
-0.018146438524127007,
0.014294024556875229,
-0.0021168666426092386,
0.027629302814602852,
-0.011086585000157356,
-0.06491579115390778,
-0.03160373866558075,
0.06069730967283249,
0.012576998211443424,
0.03479374572634697,
-0.03831495717167854,
-0.07011044770479202,
-0.05009881407022476,
0.00807089451700449,
0.017884962260723114,
-0.007064211647957563,
0.03160373866558075,
0.007125222589820623,
0.023219073191285133,
-0.0037565394304692745,
0.002786898985505104,
-0.06132484972476959,
-0.022800711914896965,
0.00850232969969511,
-0.01633353717625141,
-0.029738543555140495,
-0.04772809520363808,
-0.022853007540106773,
0.03887277469038963,
-0.1110750287771225,
-0.027890779078006744,
0.01270773634314537,
-0.0196455679833889,
0.035508450120687485,
-0.037408508360385895,
0.06638005375862122,
-0.041766442358493805,
0.024509022012352943,
0.07391056418418884,
0.011156312189996243,
-0.010929699055850506,
-0.02259153127670288,
-0.014956430532038212,
-0.06557819247245789,
-0.053968656808137894,
0.010249861516058445,
-0.004601978696882725,
0.018582232296466827,
-0.0005975817330181599,
0.050726354122161865,
-0.02079606242477894,
0.010999426245689392,
-0.03510751947760582,
0.028187118470668793,
-0.028152255341410637,
0.00015062109741847962,
0.014023832976818085,
0.013753640465438366,
0.017632201313972473,
-0.0025472126435488462,
-0.03447997570037842,
-0.010999426245689392,
0.04263802990317345,
0.03475888445973396,
-0.04099944606423378,
0.015880312770605087,
-0.03155144304037094,
-0.03282396122813225,
-0.009238820523023605,
0.028814662247896194,
-0.04399770498275757,
0.013143530115485191,
-0.018198734149336815,
-0.020098792389035225,
0.008375950157642365,
0.03932600095868111,
0.015435803681612015,
-0.017039522528648376,
0.007425920106470585,
-0.013640334829688072,
0.024875089526176453,
-0.006406163331121206,
-0.006929115392267704,
0.011862297542393208,
-0.04866940900683403,
-0.009029639884829521,
0.04626382887363434,
-0.008715868927538395,
0.011539810337126255,
-0.026670558378100395,
-0.036118559539318085,
-0.0001732278906274587,
0.005408196244388819,
0.011661832220852375,
-0.023480549454689026,
0.0187216866761446,
0.019122615456581116,
0.01111273281276226,
0.03186521679162979,
0.005303605925291777,
0.035194676369428635,
-0.014416046440601349,
0.05752473324537277,
0.07195821404457092,
0.001445744652301073,
0.004920107778161764,
-0.03451484069228172,
-0.05884954333305359,
0.02374202571809292,
-0.057420141994953156,
-0.04155725985765457,
-0.0004943531821481884,
0.02909356914460659,
0.0251714289188385,
-0.020848358049988747,
-0.04375366121530533,
-0.011844865046441555,
-0.009805352427065372,
0.011278334073722363,
-0.006005233619362116,
0.060000039637088776,
0.02220803312957287,
-0.01891343481838703,
0.03817550465464592,
-0.05327139049768448,
-0.012463691644370556,
0.01903545670211315,
-0.018390482291579247,
0.003181291976943612,
-0.010694370605051517,
-0.010328304022550583,
-0.024090660735964775,
0.011217323131859303,
0.03310286998748779,
-0.032388169318437576,
-0.049436405301094055,
0.004928823560476303,
-0.005939864553511143,
-0.009404421783983707,
-0.04277748242020607,
0.03303314372897148,
0.014172002673149109,
-0.024230115115642548,
0.054108113050460815,
0.07802445441484451,
-0.008785595186054707,
0.010572348721325397,
-0.014442194253206253,
-0.014154570177197456,
-0.034026749432086945,
0.01768449693918228,
-0.004649915732443333,
0.023236505687236786,
0.0006983589846640825,
-0.004780653864145279,
-0.03285882622003555,
0.03719932585954666,
-0.018582232296466827,
-0.013736208900809288,
0.00970076210796833,
0.03400931879878044,
0.01479082927107811,
-0.002564644441008568,
-0.03737364336848259,
0.0001732278906274587,
0.0017747686943039298,
-0.04493901878595352,
-0.012760031968355179,
0.013370142318308353,
-0.034898336976766586,
-0.02651367150247097,
-0.012916916981339455,
-0.035142380744218826,
0.04019758477807045,
0.015122031792998314,
0.0331551656126976,
-0.05884954333305359,
0.0014860555529594421,
0.01531378086656332,
0.05062176659703255,
0.013195824809372425,
-0.017850099131464958,
-0.022556668147444725,
0.031830351799726486,
0.006135971285402775,
0.028221983462572098,
-0.01589774526655674,
0.006088034249842167,
-0.011086585000157356,
0.030244063585996628,
-0.01111273281276226,
0.012071478180587292,
-0.0619872584939003,
0.027298100292682648,
-0.002721529919654131,
0.0006585928495042026,
-0.015052305534482002,
0.018756549805402756,
-0.011217323131859303,
0.015671132132411003,
-0.025938425213098526,
0.025607222691178322,
0.029128432273864746,
0.010424179024994373,
-0.03800118714570999,
0.011504946276545525,
0.005970370024442673,
-0.06359098106622696,
0.027350395917892456,
-0.026932034641504288,
-0.037478234618902206,
-0.011365492828190327,
-0.046368420124053955,
-0.015505529940128326,
0.02424754574894905,
0.010145271196961403,
-0.006872462574392557,
-0.019732726737856865,
0.017030807211995125,
-0.026775147765874863,
0.08876240253448486,
-0.011069153435528278,
0.03137712553143501,
0.015583973377943039,
-0.013422437943518162,
0.03597910702228546,
0.04452065750956535,
0.017152829095721245,
-0.006262351758778095,
0.007338761352002621,
0.03447997570037842,
-0.01034573558717966,
-0.019558409228920937,
0.01859966292977333,
0.02215573750436306,
0.023306231945753098,
0.03841954842209816,
0.03761768713593483,
0.03758282586932182,
-0.02989542856812477,
0.004185795783996582,
0.020517155528068542,
-0.04012785851955414,
0.0044516297057271,
0.02283557504415512,
-0.011766422539949417,
0.03664151206612587,
-0.005979085806757212,
-0.03873331844806671,
-0.02104010619223118,
0.011958171613514423,
0.003078880487009883,
-0.03953517973423004,
0.033660683780908585,
0.02363743633031845,
0.002987364074215293,
-0.014224297367036343,
-0.03653692081570625,
-0.02816968783736229,
-0.019471250474452972,
-0.007556658238172531,
-0.006118539720773697,
0.003331640735268593,
-0.0251714289188385,
-0.005203373730182648,
-0.0005251310649327934,
0.014808260835707188,
-0.01362290233373642,
-0.004994192626327276,
0.006249277852475643,
-0.007038063835352659,
0.0071077910251915455,
0.06976181268692017,
-0.01915747858583927,
0.02020338363945484,
0.009064503014087677,
-0.004562757443636656,
0.0019926654640585184,
-0.019070319831371307,
-0.02091808430850506,
0.016377117484807968,
-0.014067412354052067,
0.03939572721719742,
0.02339339070022106,
-0.009953522123396397,
-0.01940152421593666,
-0.007068569306284189,
-0.002839194145053625,
0.04797213897109032,
-0.011618252843618393,
0.050656627863645554,
0.047658368945121765,
0.015174327418208122,
-0.010092975571751595,
0.0009113530395552516,
-0.004889602307230234,
0.04832077398896217,
0.016002334654331207,
0.00712086446583271,
0.004177080001682043,
-0.06536901742219925,
-0.01779780350625515,
0.01737072691321373,
-0.023236505687236786,
0.02037770114839077,
-0.03737364336848259,
-0.0015797511441633105,
0.04061594605445862,
0.0019774127285927534,
-0.030470676720142365,
0.009718193672597408,
0.014311456121504307,
-0.025502631440758705,
-0.005621735472232103,
0.03512495011091232,
-0.022853007540106773,
-0.03779200464487076,
0.05511915311217308,
0.021249286830425262,
-0.004290386103093624,
-0.044346340000629425,
0.02239978313446045,
0.018704254180192947,
-0.01889600232243538,
0.02405579760670662,
-0.04574088007211685,
0.028936684131622314,
0.03786173462867737,
-0.021284151822328568,
0.07384084165096283,
-0.03957004472613335,
-0.015871597453951836,
0.039674632251262665,
0.010764097794890404,
-0.0022203675471246243,
-0.019105184823274612,
-0.03515981510281563,
-0.010136554948985577,
0.07049394398927689,
0.010807677172124386,
0.03087160736322403,
0.018617095425724983,
-0.03144685551524162,
0.007299540098756552,
0.0058396318927407265,
-0.0051249307580292225,
0.014712385833263397,
0.029302749782800674,
-0.02595585584640503,
0.06756541132926941,
-0.04678678140044212,
0.011679263785481453,
-0.0021441036369651556,
0.014651374891400337,
-0.06418365985155106,
-0.028204550966620445,
0.0006373478681780398,
-0.00675044022500515,
0.032492756843566895,
-0.030662424862384796,
0.03216155618429184,
-0.032806530594825745,
0.008602562360465527,
0.016307389363646507,
-0.08353288471698761,
0.0007664517033845186,
0.030418381094932556,
0.02295759879052639,
0.002253052080050111,
0.026966897770762444,
-0.0008073073113337159,
0.06983154267072678,
0.02032540552318096,
-0.0016026303637772799,
0.036606647074222565,
-0.008850964717566967,
-0.04528765380382538,
0.06941317766904831,
-0.021196993067860603,
0.018512504175305367,
-0.009413138031959534,
-0.05062176659703255,
-0.03970949724316597,
-0.02503197453916073,
-0.01021499838680029,
0.0368158295750618,
0.0035342846531420946,
0.011269617825746536,
0.07147011905908585,
0.0038611297495663166,
0.021807102486491203,
0.01651657186448574,
-0.013814651407301426,
-0.03824523091316223,
0.028814662247896194,
-0.007556658238172531,
-0.035874515771865845,
0.029198160395026207,
-0.027646735310554504,
-0.020848358049988747,
0.006292857229709625,
-0.04323070868849754,
0.02811739221215248,
0.058152277022600174,
0.011670548468828201,
0.015052305534482002,
0.023776888847351074,
0.02958165854215622,
-0.007744049187749624,
-0.005225163418799639,
0.036188285797834396,
-0.05393379554152489,
0.04099944606423378,
-0.018006984144449234,
-0.0033054931554943323,
0.0013367963256314397,
-0.014433478005230427,
-0.04099944606423378,
0.007425920106470585,
-0.016054630279541016,
0.008467466570436954,
-0.028256846591830254,
-0.012385249137878418,
-0.004628126043826342,
-0.05466592684388161,
0.016926215961575508,
-0.006824525073170662,
-0.002436085371300578,
0.023532845079898834,
0.015566540881991386,
0.0386635921895504,
-0.041034311056137085,
0.0057481154799461365,
0.018425345420837402,
0.03282396122813225,
-0.023480549454689026,
-0.025188859552145004,
0.002436085371300578,
0.004715284798294306,
-0.0022857366129755974,
0.003998404834419489,
-0.01022371370345354,
-0.0217896718531847,
0.02736782655119896,
-0.05365488678216934,
0.0011504946742206812,
-0.0266879890114069,
0.023672299459576607,
-0.024822793900966644,
-0.045392245054244995,
0.02252180501818657,
-0.010119123384356499,
-0.013884378597140312,
0.0399186797440052,
-0.00351467402651906,
-0.03936086222529411,
-0.028553185984492302,
0.000780070258770138,
0.01773679256439209,
0.015505529940128326,
-0.00938699021935463,
0.00615340331569314,
-0.03214412182569504,
-0.016167936846613884,
-0.024561317637562752,
-0.019418954849243164,
-0.031080788001418114,
-0.03271936997771263,
0.04221966862678528,
0.02644394524395466,
0.022975029423832893,
0.045322515070438385,
0.04124348983168602,
0.025624653324484825,
0.004527893848717213,
0.010912267491221428,
0.0405113585293293,
0.00019270241318736225,
-0.03580478951334953,
-0.040302176028490067,
0.003739107633009553,
0.029233023524284363,
0.018268460407853127,
-0.004076847340911627,
-0.02938990853726864,
0.02719351090490818,
-0.03719932585954666,
-0.02185939811170101,
-0.014416046440601349,
-0.002662697806954384,
-0.025084270164370537,
0.023550277575850487,
0.02504940703511238,
0.022626394405961037,
-0.003893814282491803,
-0.008528477512300014,
0.0113567765802145,
0.011836149729788303,
0.050238266587257385,
0.007639458868652582,
0.022434646263718605,
-0.04312611743807793,
-0.013256835751235485,
-0.02198141999542713,
0.0017867530696094036,
-0.025014542043209076,
0.0013651229673996568,
-0.01791982538998127,
0.02633935585618019,
-0.004641199950128794,
0.01582801714539528,
0.08443933725357056,
-0.019105184823274612,
-0.01547066681087017,
0.04037190228700638,
-0.008519761264324188,
0.0006940010352991521,
-0.018076712265610695,
0.01651657186448574,
0.01798955351114273,
-0.009631034918129444,
-0.013701345771551132,
0.009317263960838318,
0.0411388985812664,
0.014172002673149109,
0.029965156689286232,
0.025694381445646286,
-0.03730391710996628,
0.019907044246792793,
0.04016272351145744,
-0.027158645913004875,
-0.04138294234871864,
0.0015023978194221854,
-0.001149405143223703,
-0.052190620452165604,
-0.07335274666547775,
-0.0010224803118035197,
-0.00508135138079524,
0.021458469331264496,
-0.01627252623438835,
-0.03761768713593483,
0.005987801589071751,
0.05407324805855751,
-0.028919251635670662,
-0.017466600984334946,
-0.04957586154341698,
0.003730391850695014,
-0.002616939600557089,
-0.03325975313782692,
-0.04242884740233421,
0.02130158245563507,
0.014468342065811157,
-0.038280095905065536,
-0.00609239237383008,
-0.0006869193748570979,
-0.011653115972876549,
-0.021005243062973022,
0.052504394203424454,
0.004253343679010868,
-0.0006651297444477677,
0.016734467819333076,
-0.019715294241905212,
-0.055816423147916794,
0.037478234618902206,
-0.00539948046207428,
-0.04085999354720116,
0.019593272358179092,
-0.02933761291205883,
0.027524713426828384,
-0.00313771259970963,
-0.012838474474847317,
-0.02196398936212063,
-0.022539235651493073,
-0.020412564277648926,
-0.012838474474847317,
-0.004436376970261335,
0.04905290901660919,
-0.04242884740233421,
-0.015427087433636189,
0.009012208320200443,
0.055328335613012314,
-0.022138306871056557,
0.03303314372897148,
0.026095310226082802,
0.02203371562063694,
-0.014206865802407265,
0.040232449769973755,
0.020708903670310974,
-0.012062761932611465,
0.009108082391321659,
-0.00878123752772808,
-0.013178393244743347,
-0.01601976715028286,
-0.008463107980787754,
-0.02381175383925438,
-0.013082519173622131,
-0.0368158295750618,
0.0062144142575562,
0.0026583399157971144,
-0.01157467346638441,
-0.019593272358179092
] |
Federated learning enables multiple clients to collaboratively contribute to
the learning of a global model orchestrated by a central server. This learning
scheme promotes clients' data privacy and requires reduced communication
overheads. In an application like network traffic classification, this helps
hide the network vulnerabilities and weakness points. However, federated
learning is susceptible to backdoor attacks, in which adversaries inject
manipulated model updates into the global model. These updates inject a salient
functionality in the global model that can be launched with specific input
patterns. Nonetheless, the vulnerability of network traffic classification
models based on federated learning to these attacks remains unexplored. In this
paper, we propose GABAttack, a novel genetic algorithm-based backdoor attack
against federated learning for network traffic classification. GABAttack
utilizes a genetic algorithm to optimize the values and locations of backdoor
trigger patterns, ensuring a better fit with the input and the model. This
input-tailored dynamic attack is promising for improved attack evasiveness
while being effective. Extensive experiments conducted over real-world network
datasets validate the success of the proposed GABAttack in various situations
while maintaining almost invisible activity. This research serves as an
alarming call for network security experts and practitioners to develop robust
defense measures against such attacks. | [
-0.07103066146373749,
-0.018432239070534706,
-0.014776784926652908,
-0.043865446001291275,
0.03825008496642113,
0.001141759566962719,
0.014530656859278679,
0.013135932385921478,
-0.039307523518800735,
0.04583446681499481,
-0.03655453771352768,
-0.01146773248910904,
-0.015624558553099632,
-0.027037596330046654,
-0.09152308106422424,
0.04612617567181587,
-0.01678227074444294,
-0.07307261228561401,
0.021057602018117905,
-0.039672158658504486,
0.019690224900841713,
-0.06592579185962677,
-0.0022732638753950596,
0.014831479638814926,
0.017165135592222214,
0.05031946301460266,
0.08029235899448395,
0.01457623578608036,
-0.06935334950685501,
0.05670055374503136,
0.006663682870566845,
0.019872542470693588,
-0.01200556755065918,
-0.045360445976257324,
-0.01604388654232025,
-0.028951924294233322,
-0.02300839312374592,
0.05265311896800995,
0.011914409697055817,
0.02437577024102211,
0.0029489758890122175,
-0.039307523518800735,
-0.0017183367162942886,
0.014959101565182209,
0.008423040620982647,
-0.0016214809147641063,
-0.0585966520011425,
-0.0075615933164954185,
-0.04780349135398865,
-0.009042917750775814,
-0.007064779754728079,
-0.04532398283481598,
-0.01080227643251419,
-0.010237094014883041,
-0.02244321070611477,
0.01989077404141426,
0.04853275790810585,
-0.028806069865822792,
0.04127654433250427,
0.010237094014883041,
-0.023919977247714996,
0.01186882983893156,
0.044230081140995026,
0.006207890342921019,
0.0023701197933405638,
0.07019200921058655,
0.04780349135398865,
0.024065829813480377,
-0.0073975082486867905,
-0.0043459790758788586,
-0.038942888379096985,
0.0030834346543997526,
-0.011750323697924614,
-0.031686678528785706,
-0.0201642494648695,
0.004753913264721632,
0.021294614300131798,
0.052215561270713806,
0.007019200827926397,
0.012598097324371338,
-0.023318331688642502,
0.034804295748472214,
-0.012060263194143772,
0.003217893186956644,
0.010884318500757217,
0.03755728155374527,
-0.03850533068180084,
-0.07547919452190399,
0.041714105755090714,
0.0040497141890227795,
-0.024904487654566765,
0.025469670072197914,
-0.012105842120945454,
-0.023537112399935722,
-0.01908857934176922,
0.01994546875357628,
-0.009416667744517326,
-0.027456924319267273,
-0.08306358009576797,
0.03839593753218651,
-0.046417880803346634,
0.02920716628432274,
-0.020146017894148827,
0.04167764261364937,
-0.005018272437155247,
-0.0027301956433802843,
0.000006378420948749408,
0.07391127198934555,
0.016545258462429047,
0.13454987108707428,
-0.017675623297691345,
-0.023336563259363174,
-0.018778640776872635,
0.08196967840194702,
-0.04601678624749184,
0.037593744695186615,
-0.059763479977846146,
-0.04649081081151962,
-0.02293546497821808,
-0.013418523594737053,
0.011285415850579739,
0.020929979160428047,
0.010182398371398449,
-0.0255790613591671,
-0.06056567281484604,
0.05010068416595459,
0.025050342082977295,
-0.017137788236141205,
-0.03141320124268532,
-0.004229751881211996,
0.010455873794853687,
0.0028099592309445143,
0.04765763878822327,
-0.05381994694471359,
0.04083898663520813,
-0.026326559484004974,
0.06596225500106812,
0.010337368585169315,
-0.02288077026605606,
-0.0229536984115839,
0.037666670978069305,
-0.0000465762714156881,
0.019653761759400368,
0.04284447059035301,
0.0015781807014718652,
0.010246209800243378,
0.032178930938243866,
0.04674605280160904,
-0.012096726335585117,
0.03042869083583355,
-0.05549726262688637,
0.04623556509613991,
0.06410261988639832,
0.011212489567697048,
0.023537112399935722,
-0.008792232722043991,
0.05979994311928749,
-0.03212423622608185,
0.022753149271011353,
-0.014621815644204617,
0.01247047632932663,
-0.016481447964906693,
0.05217909812927246,
0.03978154808282852,
0.023208940401673317,
0.07620846480131149,
0.04131300747394562,
0.01805848814547062,
-0.05480445921421051,
0.059836406260728836,
0.014229834079742432,
-0.01611681468784809,
-0.015168765559792519,
0.042224593460559845,
-0.007807721383869648,
0.02288077026605606,
0.06289932876825333,
-0.03205130994319916,
-0.014202486723661423,
-0.00439839530736208,
-0.01417513843625784,
0.0341479554772377,
0.006982737220823765,
0.0190338846296072,
0.021349309012293816,
0.03221539780497551,
0.043354958295822144,
0.0033363993279635906,
0.031230885535478592,
-0.042589228600263596,
0.021331077441573143,
0.01428452879190445,
-0.007329139392822981,
-0.06472250074148178,
0.02337302640080452,
0.009042917750775814,
-0.0009115844732150435,
-0.0322883240878582,
0.02116699144244194,
-0.0063856495544314384,
-0.017156019806861877,
-0.02023717574775219,
-0.0015428568003699183,
-0.0150320278480649,
0.010592611506581306,
0.024357536807656288,
0.030811555683612823,
-0.018231689929962158,
-0.02550613321363926,
-0.04973604902625084,
-0.0672384724020958,
-0.030702166259288788,
-0.049699585884809494,
0.008632705546915531,
0.014166022650897503,
-0.018414007499814034,
0.012835109606385231,
0.005975436419248581,
0.004206962417811155,
0.00039995770202949643,
0.03294466435909271,
0.036882709711790085,
-0.007807721383869648,
0.017766781151294708,
-0.032470639795064926,
-0.02920716628432274,
-0.006613545585423708,
0.0137193463742733,
-0.033309295773506165,
0.026417719200253487,
-0.02942594699561596,
0.002591178985312581,
0.005546991713345051,
0.0037124278023838997,
-0.005875161848962307,
-0.021914491429924965,
0.001652246923185885,
0.0007366742356680334,
-0.030246373265981674,
-0.025706682354211807,
-0.03817715868353844,
0.009252582676708698,
-0.06202420964837074,
-0.055278483778238297,
0.022206198424100876,
0.02351888082921505,
-0.023537112399935722,
0.07048371434211731,
-0.020474188029766083,
0.0016408520750701427,
-0.03825008496642113,
0.007643635850399733,
-0.009735722094774246,
-0.0013468661345541477,
-0.06680091470479965,
-0.041787032037973404,
0.002504578325897455,
-0.039307523518800735,
0.02224266156554222,
-0.029480641707777977,
0.07442175596952438,
0.018295500427484512,
-0.06563408672809601,
0.08007358014583588,
-0.012707487680017948,
-0.03042869083583355,
0.053272996097803116,
0.0136190727353096,
0.0205288827419281,
0.012625445611774921,
-0.041787032037973404,
-0.004325468558818102,
-0.06840530037879944,
-0.02579784207046032,
-0.020200712606310844,
0.007133148610591888,
-0.007256212644279003,
-0.035241857171058655,
-0.0005648974911309779,
0.03868764638900757,
0.044230081140995026,
0.0003321586118545383,
0.022479673847556114,
-0.0013844689819961786,
-0.007657309528440237,
-0.03978154808282852,
-0.03186899423599243,
-0.008942644111812115,
-0.053345926105976105,
0.03817715868353844,
-0.03817715868353844,
0.0014710695249959826,
-0.028951924294233322,
-0.03717441484332085,
0.013591724447906017,
0.035314783453941345,
0.026308327913284302,
0.040146179497241974,
-0.010173282586038113,
-0.03042869083583355,
-0.0589977502822876,
-0.05079348757863045,
-0.0006512131658382714,
0.022260893136262894,
-0.04725654050707817,
-0.014339224435389042,
-0.01001831330358982,
0.04922556132078171,
-0.020182481035590172,
-0.00534644303843379,
0.058961283415555954,
-0.056117139756679535,
-0.025560829788446426,
-0.024412233382463455,
-0.034384965896606445,
0.009416667744517326,
-0.0062853749841451645,
0.017848825082182884,
-0.012880688533186913,
-0.08765796571969986,
-0.0007469295524060726,
0.03391094133257866,
-0.06392030417919159,
0.029972897842526436,
-0.030756860971450806,
-0.032178930938243866,
0.013527913950383663,
0.05764860287308693,
-0.05575250834226608,
0.009744837880134583,
-0.004047435242682695,
-0.015588094480335712,
-0.07205163687467575,
-0.02302662469446659,
-0.02800387516617775,
-0.008969991467893124,
-0.09159600734710693,
0.06599871814250946,
0.034950148314237595,
0.0025638313964009285,
-0.018441354855895042,
-0.004963577724993229,
-0.016891660168766975,
0.031121494248509407,
-0.038724109530448914,
0.01842312328517437,
-0.045068737119436264,
0.013983706012368202,
0.013436755165457726,
-0.03464021161198616,
0.0009810928022488952,
0.02979058213531971,
0.018486933782696724,
-0.01646321639418602,
-0.0030560870654881,
-0.010893434286117554,
0.010911666788160801,
-0.017821477726101875,
-0.028605520725250244,
0.007670983672142029,
0.04098483920097351,
-0.011741207912564278,
0.003268030472099781,
0.05516909435391426,
-0.0544762909412384,
-0.026490645483136177,
-0.009918039664626122,
-0.023391257971525192,
-0.04113069176673889,
0.040328498929739,
-0.049845438450574875,
0.07715651392936707,
-0.01179590355604887,
0.004047435242682695,
-0.01546958927065134,
-0.012561634182929993,
-0.011741207912564278,
-0.016207972541451454,
0.009266256354749203,
0.037666670978069305,
0.01048322208225727,
0.0027188006788492203,
0.029116008430719376,
0.0336192362010479,
0.01543312519788742,
0.03721087798476219,
-0.022279124706983566,
-0.027949180454015732,
-0.013500566594302654,
0.0571381151676178,
0.02993643470108509,
0.009175097569823265,
-0.02045595645904541,
-0.021002907305955887,
0.03684624657034874,
-0.03792191669344902,
-0.03372862562537193,
-0.04382898285984993,
0.0011736650485545397,
-0.046855442225933075,
-0.005086641293019056,
0.048496294766664505,
-0.012844225391745567,
0.009963618591427803,
-0.043646667152643204,
0.010711117647588253,
-0.0090018967166543,
-0.01959906704723835,
0.017265411093831062,
-0.0014756274176761508,
0.02623540163040161,
-0.035515330731868744,
0.011321878992021084,
-0.024758635088801384,
0.012980963103473186,
0.04124008119106293,
-0.0463084913790226,
0.014193370938301086,
-0.004977251403033733,
0.003352351952344179,
0.03897935152053833,
0.022042112424969673,
0.059325918555259705,
0.015323735773563385,
-0.03963569551706314,
0.021258151158690453,
0.01938028633594513,
-0.0020259965676814318,
0.03072039783000946,
-0.004904324654489756,
0.062315914779901505,
-0.020328333601355553,
0.017356568947434425,
-0.017165135592222214,
-0.021677479147911072,
-0.026745889335870743,
0.02951710671186447,
-0.017575349658727646,
-0.004945345688611269,
-0.01989077404141426,
-0.003562016412615776,
0.014867942780256271,
0.018705714493989944,
-0.01093901414424181,
-0.037374965846538544,
-0.011112214997410774,
-0.000976534909568727,
-0.06439432501792908,
0.03865118324756622,
-0.005920741241425276,
-0.0645766481757164,
0.030975641682744026,
-0.08867894113063812,
-0.053637631237506866,
0.015861570835113525,
-0.035460636019706726,
0.012917152605950832,
-0.03540594130754471,
0.03385624662041664,
-0.02552436664700508,
-0.015396662056446075,
0.06071152910590172,
-0.015770411118865013,
-0.011066636070609093,
0.04375605657696724,
0.015414893627166748,
-0.045287515968084335,
-0.06738432496786118,
0.0070556639693677425,
-0.03449435904622078,
0.01375581044703722,
-0.04193288832902908,
0.05174153670668602,
0.045287515968084335,
0.016034770756959915,
0.01154977548867464,
-0.029608264565467834,
-0.08051114529371262,
-0.011130446568131447,
-0.023427721112966537,
-0.0019621856044977903,
0.04302678629755974,
0.009881575591862202,
-0.04160471633076668,
0.016991935670375824,
-0.01692812331020832,
0.013445870950818062,
-0.03383801504969597,
-0.04397483542561531,
-0.04765763878822327,
0.036663927137851715,
-0.010683770291507244,
-0.01599830761551857,
-0.012260811403393745,
-0.030319299548864365,
-0.020547114312648773,
-0.004459927324205637,
0.02822265587747097,
0.08897064626216888,
0.034950148314237595,
-0.0029353019781410694,
-0.05166861042380333,
0.04470410197973251,
-0.0024384884163737297,
0.0544762909412384,
-0.005227936897426844,
-0.01072023343294859,
0.03544240444898605,
0.02337302640080452,
-0.006950831972062588,
-0.0373385027050972,
0.030319299548864365,
-0.016618184745311737,
-0.028332045301795006,
-0.03633575886487961,
0.008856043219566345,
-0.004516900982707739,
-0.020984675735235214,
-0.030957410112023354,
0.034676674753427505,
0.00906570814549923,
-0.02195095457136631,
-0.04576154053211212,
0.03981801122426987,
0.00918877124786377,
0.08109455555677414,
0.05400226637721062,
0.025141499936580658,
-0.041787032037973404,
-0.040510814636945724,
-0.02849613130092621,
0.051996778696775436,
-0.06009164825081825,
0.007620846386998892,
0.03086625039577484,
0.038797035813331604,
0.0010682630818337202,
-0.0033637466840445995,
-0.041859958320856094,
-0.04018264263868332,
-0.026034852489829063,
0.04740239307284355,
0.005396580323576927,
-0.0023188430350273848,
0.02793094888329506,
0.014913522638380527,
0.03227009251713753,
-0.04787641763687134,
-0.01631736196577549,
-0.030538080260157585,
0.04751178249716759,
-0.018906261771917343,
0.010957245714962482,
0.004954461939632893,
0.006636335048824549,
-0.018295500427484512,
0.01407486479729414,
0.0015542515320703387,
-0.012251695618033409,
-0.007698331028223038,
0.010273557156324387,
0.009102171286940575,
-0.024813329800963402,
-0.02080235816538334,
0.011722976341843605,
-0.027274608612060547,
0.0018767245346680284,
0.0671655461192131,
-0.024485159665346146,
0.03464021161198616,
0.02366473339498043,
-0.0038332128897309303,
-0.033309295773506165,
-0.048350442200899124,
0.022570831701159477,
-0.02886076457798481,
-0.00354378460906446,
0.004149988293647766,
0.0063856495544314384,
-0.022260893136262894,
-0.005000040866434574,
-0.024065829813480377,
-0.0004056550969835371,
0.021112296730279922,
0.03792191669344902,
0.026126012206077576,
-0.01996370032429695,
0.0038377707824110985,
-0.032324787229299545,
-0.0660351812839508,
0.0108296237885952,
0.028769606724381447,
-0.001976998755708337,
-0.022424979135394096,
-0.008719305507838726,
-0.03763020783662796,
0.0007298373384401202,
-0.0029056756757199764,
0.024047598242759705,
-0.0339474081993103,
0.006823210045695305,
0.011622702702879906,
0.06774895638227463,
0.025761377066373825,
0.0028327489271759987,
-0.023847050964832306,
-0.006166869308799505,
0.030957410112023354,
-0.02324540540575981,
-0.021859796717762947,
0.06450372189283371,
0.029243631288409233,
0.07941724359989166,
-0.04368313029408455,
0.01340029202401638,
0.021549858152866364,
0.008587125688791275,
-0.00919788796454668,
-0.014849711209535599,
0.0056199184618890285,
0.03456728532910347,
-0.02515973150730133,
0.038031306117773056,
0.03996386379003525,
0.014466846361756325,
0.03854179382324219,
-0.005638150032609701,
-0.0391981340944767,
-0.010656422935426235,
0.004216078203171492,
-0.035096004605293274,
0.030045824125409126,
-0.045725077390670776,
-0.02224266156554222,
-0.0634462833404541,
-0.013810505159199238,
-0.005082083400338888,
0.007898879237473011,
-0.016408521682024002,
0.001948511810041964,
-0.009863344021141529,
-0.025177963078022003,
-0.0165087953209877,
0.032889969646930695,
-0.013035657815635204,
-0.022023880854249,
-0.012506939470767975,
-0.04809519648551941,
-0.014248065650463104,
0.032962895929813385,
0.002725637750700116,
0.01611681468784809,
-0.025032110512256622,
0.002825911855325103,
-0.012306390330195427,
-0.05422104522585869,
0.035679418593645096,
-0.017794128507375717,
-0.009115844964981079,
0.03150435909628868,
0.015770411118865013,
0.004093014169484377,
-0.014840595424175262,
0.0015052539529278874,
0.01310858502984047,
-0.03711972013115883,
0.045287515968084335,
0.0067593990825116634,
0.018459586426615715,
0.050137147307395935,
0.00027262073126621544,
0.016062118113040924,
-0.0172745268791914,
0.00820881873369217,
0.022279124706983566,
0.00020738547027576715,
0.0330175906419754,
0.0421881303191185,
0.00972660630941391,
-0.04076606035232544,
-0.010227978229522705,
0.0052233790047466755,
-0.02638125605881214,
0.004430300556123257,
-0.04317264258861542,
-0.01695547066628933,
-0.019070347771048546,
0.02001839503645897,
-0.04783995449542999,
-0.017839709296822548,
-0.00552420224994421,
-0.0287331435829401,
0.018705714493989944,
-0.01482236385345459,
-0.002163873752579093,
-0.007133148610591888,
0.0010699722915887833,
0.0007685796590521932,
0.005970878526568413,
0.030319299548864365,
0.013072121888399124,
0.014867942780256271,
-0.06326396018266678,
-0.013582608662545681,
-0.011659165844321251,
-0.0015964123886078596,
-0.0021023417357355356,
-0.008819580078125,
0.0069736214354634285,
0.02351888082921505,
-0.012342854402959347,
0.024685708805918694,
-0.003965392708778381,
0.032689418643713,
-0.0076117306016385555,
-0.006052921060472727,
0.015059376135468483,
0.013363828882575035,
-0.00423203082755208,
0.021002907305955887,
-0.008103986270725727,
0.025779608637094498,
0.04576154053211212,
-0.09166893362998962,
-0.024339305236935616,
-0.009361973032355309,
-0.02844143658876419,
0.003853723406791687,
-0.0014471403555944562,
0.014731205068528652,
0.056408848613500595,
-0.05870604142546654,
-0.006882463116198778,
0.001186199369840324,
0.007753026206046343,
0.015861570835113525,
-0.0014528378378599882,
0.01707397773861885,
0.020784126594662666,
-0.0026868951972573996,
0.029808813706040382,
-0.003634943161159754,
-0.015743063762784004,
-0.017256295308470726,
0.01700105145573616,
0.0044758799485862255,
-0.008532430976629257,
0.01342763938009739,
-0.048058733344078064,
0.024758635088801384,
0.04783995449542999,
-0.040802523493766785,
0.059252992272377014,
-0.002588900038972497,
-0.04091191291809082,
-0.015123186632990837,
0.0023165640886873007,
0.007821395061910152,
-0.007452203426510096,
0.05418458208441734,
-0.0014756274176761508,
0.057830918580293655,
-0.024886256083846092,
0.015524283982813358,
0.05400226637721062,
0.00005779303319286555,
-0.007383834570646286,
-0.02472217194736004,
0.011823250912129879,
-0.011768556199967861,
0.014995564706623554,
0.003853723406791687,
0.044011298567056656,
-0.019216200336813927,
-0.0028920017648488283,
-0.012926268391311169,
0.06187835708260536,
-0.03157728537917137,
-0.01979961432516575,
0.002616247395053506,
0.00042160783777944744,
0.01150419656187296,
0.012962731532752514,
0.010455873794853687,
-0.01457623578608036,
-0.017766781151294708,
0.0018516560085117817,
-0.05010068416595459,
-0.017238061875104904,
0.047074224799871445,
-0.04546983540058136,
0.017110440880060196,
0.014986448921263218,
0.0033363993279635906,
0.05407519266009331,
0.007178728003054857,
0.010118587873876095,
0.0384688638150692,
-0.0054558333940804005,
-0.028240887448191643,
0.052616655826568604,
-0.008819580078125,
-0.03560648858547211,
-0.022680222988128662,
-0.013099469244480133,
-0.03398387134075165,
-0.03608051314949989,
-0.02472217194736004,
-0.024357536807656288,
-0.010847855359315872,
0.0042935628443956375,
-0.007967248558998108,
-0.031832531094551086,
0.006636335048824549,
-0.02437577024102211,
-0.015241692773997784,
-0.015578978694975376,
0.00787608977407217,
-0.0035096004139631987,
-0.054622143507003784,
-0.01910681091248989,
-0.016736691817641258,
-0.004268494434654713,
0.009453130885958672,
-0.007894321344792843,
-0.01763916015625,
0.004936229903250933,
-0.007990038022398949,
0.034166187047958374,
0.009708374738693237,
-0.0011178305139765143,
0.008409366942942142,
-0.042443372309207916,
0.02829558216035366,
-0.05309068039059639,
0.016262667253613472,
0.0017171972431242466,
0.007329139392822981,
-0.030483385547995567,
0.018359310925006866,
0.0040018558502197266,
-0.00330449384637177,
-0.0050638518296182156,
-0.023992903530597687,
-0.04474056512117386,
-0.0004700357676483691,
-0.02680058404803276,
-0.0259436946362257,
0.011267184279859066,
0.033473383635282516,
-0.004694660194218159,
0.05367409437894821,
0.057757992297410965,
0.019416749477386475,
-0.01827726885676384,
-0.003060644958168268,
-0.013573492877185345,
0.0444488599896431,
0.0017502421978861094,
-0.018997421488165855,
-0.02814972959458828,
0.03784898668527603,
0.013919895514845848,
0.023117782548069954,
0.017210714519023895,
-0.017702970653772354,
0.026545340195298195,
-0.07041078805923462,
-0.010237094014883041,
-0.023828819394111633,
0.010328251868486404,
-0.03571588173508644,
-0.012315506115555763,
0.0731455385684967,
0.0072972336784005165,
0.023354794830083847,
0.033673930913209915,
-0.020346565172076225,
-0.022060343995690346,
-0.03732026740908623,
0.03332752734422684,
0.03263472393155098,
0.015323735773563385,
-0.015834223479032516,
0.040583740919828415,
-0.025925463065505028,
-0.0011639794101938605,
-0.03429380804300308,
-0.037374965846538544,
-0.04280800744891167,
-0.021349309012293816,
0.06275347620248795,
-0.047365929931402206,
-0.03380155190825462,
0.03963569551706314,
0.008140449412167072,
-0.007889763452112675,
-0.007953574880957603,
-0.019489675760269165,
0.01439391914755106,
-0.008614473044872284,
-0.001362818875350058,
0.006052921060472727,
0.0055150859989225864,
0.024959184229373932,
0.01805848814547062,
0.014795016497373581,
-0.03398387134075165,
-0.020073089748620987,
0.007907995022833347,
-0.027256377041339874,
-0.005478622857481241,
-0.02302662469446659,
0.009526058100163937,
0.03777606040239334,
0.012133189477026463,
-0.027329303324222565,
-0.017429495230317116,
0.0025159732904285192,
0.031394969671964645,
0.029735885560512543,
0.05764860287308693,
-0.008860601112246513,
0.017794128507375717,
0.03540594130754471,
-0.0011520149419084191,
0.0038856288883835077,
0.0384688638150692,
-0.013865199871361256,
0.0110119404271245,
-0.009042917750775814,
-0.018268153071403503,
0.009681027382612228,
0.03199661523103714,
0.014384803362190723,
0.03443966060876846,
-0.01837754249572754,
0.0053236535750329494,
-0.030173446983098984,
0.009954502806067467,
-0.030319299548864365,
-0.0038195389788597822,
0.00502738868817687,
0.009289045818150043,
0.06957212835550308,
-0.05137690156698227,
0.06818652153015137,
-0.02643595077097416,
-0.012160536833107471,
0.021823333576321602,
-0.037739597260951996,
-0.004197846632450819,
0.0030241815838962793,
-0.03493191674351692,
-0.09188771992921829,
0.050210073590278625,
-0.02579784207046032,
-0.014001937583088875,
-0.014248065650463104,
0.03941691294312477,
0.06669152528047562,
0.029061313718557358,
0.008819580078125,
-0.011650050058960915,
-0.010610843077301979,
0.027639241889119148,
-0.03185076266527176,
-0.015670137479901314,
-0.0259436946362257,
0.012197000905871391,
-0.023646501824259758,
-0.029590032994747162,
0.006244353950023651,
0.028095034882426262,
0.01721983030438423,
0.0026800583582371473,
0.005897951778024435,
-0.017475074157118797,
-0.02344595268368721,
0.006736609619110823,
0.04415715113282204,
0.01414779108017683,
-0.02330010011792183,
0.02422991581261158,
-0.0421881303191185,
-0.037101488560438156,
-0.02907954528927803,
0.030100520700216293,
-0.05108519643545151,
0.020711200311779976,
-0.009079381823539734,
0.0180037934333086,
0.013236206956207752,
-0.005706518888473511,
-0.0201642494648695,
-0.02082058973610401,
0.023828819394111633,
-0.014867942780256271,
0.0035916429478675127,
0.03170491009950638,
-0.021677479147911072,
0.006166869308799505,
-0.02793094888329506,
0.015405777841806412,
-0.02038303017616272,
0.002577505074441433,
0.06712908297777176,
-0.003682801267132163,
0.005483180750161409,
0.028040338307619095,
-0.031686678528785706,
-0.04619910195469856,
0.025032110512256622,
0.031686678528785706,
-0.044011298567056656,
-0.002200337126851082,
-0.0664362758398056,
0.03691917285323143,
-0.027475155889987946,
-0.0033751416485756636,
0.018723946064710617,
0.005483180750161409,
-0.013883431442081928,
-0.018705714493989944
] |
Innovative foundation models, such as GPT-3 and stable diffusion models, have
made a paradigm shift in the realm of artificial intelligence (AI) towards
generative AI-based systems. In unison, from data communication and networking
perspective, AI and machine learning (AI/ML) algorithms are envisioned to be
pervasively incorporated into the future generations of wireless communications
systems, highlighting the need for novel AI-native solutions for the emergent
communication scenarios. In this article, we outline the applications of
generative AI in wireless communication systems to lay the foundations for
research in this field. Diffusion-based generative models, as the new
state-of-the-art paradigm of generative models, are introduced, and their
applications in wireless communication systems are discussed. Two case studies
are also presented to showcase how diffusion models can be exploited for the
development of resilient AI-native communication systems. Specifically, we
propose denoising diffusion probabilistic models (DDPM) for a wireless
communication scheme with non-ideal transceivers, where 30% improvement is
achieved in terms of bit error rate. As the second application, DDPMs are
employed at the transmitter to shape the constellation symbols, highlighting a
robust out-of-distribution performance. Finally, future directions and open
issues for the development of generative AI-based wireless systems are
discussed to promote future research endeavors towards wireless generative AI
(WiGenAI). | [
-0.031426411122083664,
-0.019715700298547745,
-0.027832986786961555,
0.017100844532251358,
0.0810445249080658,
0.04494987428188324,
-0.017293348908424377,
-0.0029697876889258623,
0.0006366695743054152,
0.030399717390537262,
-0.001302415388636291,
-0.018303999677300453,
0.032084133476018906,
-0.005045230034738779,
-0.021047191694378853,
0.021512411534786224,
0.03490753844380379,
0.007575866300612688,
0.011133194901049137,
-0.0013344994513317943,
0.0050692930817604065,
-0.010692037642002106,
-0.028859678655862808,
0.022362641990184784,
0.018111493438482285,
0.005253776907920837,
0.0044717262499034405,
-0.013226684182882309,
-0.07623190432786942,
0.04828662425279617,
-0.005157524719834328,
-0.022122010588645935,
0.002753219800069928,
-0.037891361862421036,
-0.03991266340017319,
-0.035998400300741196,
0.026196695864200592,
0.07052092999219894,
0.014149103313684464,
0.024159353226423264,
0.006870015524327755,
-0.01912214420735836,
0.02545876055955887,
-0.007760350126773119,
-0.01582549884915352,
-0.0005253776907920837,
0.004704336170107126,
-0.011405909433960915,
0.014742659404873848,
-0.016876254230737686,
-0.019202355295419693,
-0.07000758498907089,
0.0490245595574379,
0.010772247798740864,
-0.052810486406087875,
0.027207346633076668,
0.06686333566904068,
-0.00008108763722702861,
0.03846887871623039,
-0.04324941337108612,
0.00033989129588007927,
-0.0031342189759016037,
-0.013756073080003262,
-0.026453368365764618,
-0.01703667640686035,
0.018721092492341995,
-0.013611693866550922,
0.03280602768063545,
-0.011149236932396889,
-0.008365938439965248,
-0.058104366064071655,
-0.016226550564169884,
-0.013138453476130962,
-0.0007885678787715733,
-0.01860879734158516,
0.007327214349061251,
0.010836416855454445,
0.07828529179096222,
0.008261664770543575,
-0.01562497392296791,
0.03221246972680092,
0.023148702457547188,
-0.07520521432161331,
-0.03625507280230522,
0.01055567990988493,
0.053099241107702255,
-0.010732143186032772,
-0.058617714792490005,
0.06718418002128601,
-0.011678624898195267,
-0.011421951465308666,
0.023822469636797905,
0.0027010831981897354,
-0.03510004281997681,
-0.006148122251033783,
-0.002713114721700549,
0.001732543227262795,
-0.018336083739995956,
-0.0355171374976635,
0.018865471705794334,
0.019571322947740555,
-0.008694800548255444,
0.03513212874531746,
0.05194421485066414,
-0.00035718665458261967,
-0.045591555535793304,
0.009833787567913532,
-0.0006597299943678081,
0.03044784441590309,
0.11229447275400162,
0.012785527855157852,
0.009553050622344017,
-0.022635357454419136,
0.02602023258805275,
-0.0011460052337497473,
0.03423377126455307,
-0.04488570615649223,
-0.07231763750314713,
0.017726484686136246,
0.0012031550286337733,
-0.014606302604079247,
0.030062833800911903,
-0.004936946090310812,
-0.005710975732654333,
-0.012905843555927277,
0.0750768780708313,
0.00020115247752983123,
-0.040586430579423904,
-0.002496546832844615,
0.023437460884451866,
-0.03445836156606674,
0.04716367647051811,
-0.006886057555675507,
0.026806294918060303,
0.03535671532154083,
0.006288490258157253,
-0.018689008429646492,
-0.0022017736919224262,
-0.008654695004224777,
-0.037506353110075,
0.036287155002355576,
-0.009649303741753101,
0.03676841780543327,
-0.002656967379152775,
0.023020366206765175,
0.023581838235259056,
-0.01953923888504505,
0.04812620207667351,
-0.03882180154323578,
-0.04985874518752098,
-0.07347267121076584,
0.04523862898349762,
0.005105387885123491,
0.007407424505800009,
0.02715921960771084,
0.003230471396818757,
0.020838646218180656,
-0.04045809432864189,
0.021416159346699715,
-0.013250747695565224,
0.03068847395479679,
-0.03235685080289841,
0.029597613960504532,
0.03216434642672539,
0.022314514964818954,
0.010587763972580433,
0.037698857486248016,
0.010780269280076027,
-0.054607197642326355,
0.02043759450316429,
0.026565663516521454,
-0.0021937526762485504,
-0.041901879012584686,
-0.009095852263271809,
-0.05085335299372673,
0.06641415506601334,
-0.009585135616362095,
0.03625507280230522,
-0.005277839954942465,
0.062114883214235306,
-0.026004191488027573,
0.007034446578472853,
0.051302529871463776,
0.025282297283411026,
0.07642440497875214,
0.0345546118915081,
0.07636024057865143,
-0.010058376006782055,
-0.023100577294826508,
0.013916493393480778,
0.023950805887579918,
-0.008177443407475948,
0.042703982442617416,
-0.0420302152633667,
0.014574218541383743,
-0.04892830550670624,
-0.01742168515920639,
0.012970011681318283,
-0.0212878230959177,
0.02058197185397148,
-0.03027138113975525,
-0.023357249796390533,
0.04215855151414871,
0.018287956714630127,
0.03821220248937607,
-0.005811238661408424,
-0.0008131322683766484,
0.03811595216393471,
-0.0006136090960353613,
-0.016699792817234993,
-0.004311305470764637,
-0.011181320995092392,
-0.014574218541383743,
0.028971973806619644,
0.01873713545501232,
-0.021319907158613205,
-0.01106902677565813,
-0.010138586163520813,
-0.05954815447330475,
-0.002717125229537487,
0.011365804821252823,
0.04937748238444328,
0.032276637852191925,
-0.022410767152905464,
-0.02932489849627018,
-0.08669133484363556,
-0.03012700192630291,
0.022490978240966797,
-0.06795419752597809,
0.012352392077445984,
0.012817611917853355,
0.07757943868637085,
0.04928123205900192,
-0.038083866238594055,
0.029100310057401657,
-0.020501762628555298,
0.025057708844542503,
0.0300307497382164,
-0.02691858820617199,
-0.005943586118519306,
-0.06955840438604355,
-0.012593022547662258,
-0.04687492176890373,
-0.05476761609315872,
0.038693465292453766,
-0.021496370434761047,
-0.012143844738602638,
0.06352658569812775,
0.0035152179189026356,
0.009384609758853912,
-0.008293748833239079,
0.013226684182882309,
-0.0036295177415013313,
0.00197818735614419,
-0.07199680060148239,
0.01418920885771513,
0.007415445521473885,
-0.033078741282224655,
-0.0152720483019948,
-0.02261931449174881,
0.07263848185539246,
0.023341208696365356,
0.04424402117729187,
0.03972015902400017,
-0.05332383140921593,
-0.0066414158791303635,
0.020517803728580475,
0.019811952486634254,
0.009424714371562004,
0.018689008429646492,
-0.06750501692295074,
0.03410543501377106,
-0.02573147602379322,
-0.006970278453081846,
-0.007543782237917185,
-0.007134709507226944,
0.012881780043244362,
0.014710575342178345,
0.03177933394908905,
-0.015304132364690304,
0.05778352543711662,
-0.03078472800552845,
0.009745555929839611,
-0.06782586127519608,
-0.013908471912145615,
-0.0750768780708313,
-0.0680825337767601,
0.01968361623585224,
-0.0840604305267334,
0.01511162705719471,
-0.0182719137519598,
0.02573147602379322,
-0.029581572860479355,
-0.0041388534009456635,
0.023068493232131004,
-0.021785126999020576,
0.01992424763739109,
-0.03715342655777931,
0.02531438134610653,
0.004768504295498133,
-0.024095185101032257,
-0.005017156712710857,
-0.004134842660278082,
0.02714317850768566,
-0.003412949852645397,
-0.027929238975048065,
-0.008919388987123966,
0.005141482688486576,
0.03124994784593582,
0.012079676613211632,
0.09169645607471466,
-0.009801703505218029,
-0.04328149929642677,
-0.024752909317612648,
0.014622344635426998,
0.03904639184474945,
0.004355421289801598,
-0.049505818635225296,
-0.020132794976234436,
-0.010419323109090328,
0.016731876879930496,
0.025394592434167862,
-0.10992024838924408,
0.01135778333991766,
-0.007170804310590029,
-0.009593156166374683,
0.02847466990351677,
0.08085201680660248,
-0.05435052514076233,
0.011365804821252823,
-0.03327124938368797,
-0.04302482306957245,
-0.0009825766319409013,
-0.014630365185439587,
0.03262956440448761,
-0.0028755406383424997,
0.0003960385511163622,
0.004146874416619539,
-0.024480193853378296,
-0.025234172120690346,
0.02204180136322975,
-0.03429793938994408,
-0.03641549125313759,
-0.037698857486248016,
-0.017405642196536064,
-0.03270977362990379,
-0.0450461246073246,
0.03445836156606674,
-0.025282297283411026,
-0.016403013840317726,
0.0008853215840645134,
0.027688607573509216,
0.007315182592719793,
0.004856735933572054,
0.003719754284247756,
-0.04802994802594185,
0.004479747265577316,
-0.04953790456056595,
-0.018352124840021133,
0.015055480413138866,
0.021448243409395218,
-0.02884363755583763,
-0.005093356594443321,
-0.00027722696540877223,
-0.058713965117931366,
-0.040586430579423904,
-0.05056459456682205,
-0.04231897369027138,
-0.040682680904865265,
-0.012384476140141487,
0.048511210829019547,
0.050051249563694,
-0.005093356594443321,
0.03246914595365524,
-0.02077447809278965,
0.013459294103085995,
0.02658170461654663,
-0.02611648477613926,
0.012360412627458572,
0.055216796696186066,
0.004708346910774708,
0.06015775352716446,
-0.028153827413916588,
-0.019041933119297028,
-0.020084667950868607,
0.021704917773604393,
0.027303598821163177,
-0.026180654764175415,
-0.0195071529597044,
0.035581305623054504,
0.021849295124411583,
-0.036896754056215286,
-0.045302797108888626,
-0.06628581881523132,
0.06679917126893997,
-0.017999200150370598,
-0.020758435130119324,
-0.022875988855957985,
0.028699258342385292,
-0.03994474932551384,
-0.00003349408143549226,
-0.0011831024894490838,
0.03413752093911171,
0.032597482204437256,
0.003088098019361496,
0.013018137775361538,
-0.02456040494143963,
-0.0162826981395483,
-0.016876254230737686,
-0.04196604713797569,
0.012199992313981056,
-0.010796311311423779,
-0.020902814343571663,
-0.0325653962790966,
0.013266789726912975,
0.00928033608943224,
-0.03801969811320305,
0.0195071529597044,
0.005346018821001053,
-0.02441602572798729,
0.013531483709812164,
0.04735618457198143,
0.0640399307012558,
-0.0015691147418692708,
-0.007263045758008957,
0.010443385690450668,
0.0510779432952404,
0.021881379187107086,
0.008766990154981613,
-0.06628581881523132,
-0.018865471705794334,
0.004808609839528799,
0.023870596662163734,
-0.07648857682943344,
-0.05964440479874611,
-0.031378284096717834,
-0.03641549125313759,
0.032404977828264236,
-0.02383851259946823,
0.023357249796390533,
0.011141215451061726,
0.001138986786827445,
-0.012520833872258663,
0.02512187696993351,
-0.05877813324332237,
-0.003088098019361496,
-0.00982576608657837,
-0.0163869708776474,
-0.031474534422159195,
-0.08194287866353989,
-0.042992740869522095,
0.05223296955227852,
-0.045784059911966324,
-0.012055614031851292,
0.020373426377773285,
-0.07822111994028091,
0.011101110838353634,
-0.013996703550219536,
0.03270977362990379,
-0.024945415556430817,
0.03214830160140991,
0.02772069163620472,
-0.009448777884244919,
-0.027223387733101845,
0.014782764948904514,
-0.009440756402909756,
-0.006625373847782612,
-0.04876788333058357,
0.00868677906692028,
0.017405642196536064,
-0.010307027958333492,
-0.03235685080289841,
0.0003554320428520441,
0.0004862751520704478,
0.02648545242846012,
-0.01248874980956316,
-0.02866717427968979,
-0.052104633301496506,
0.013820241205394268,
-0.0034109444823116064,
-0.012111760675907135,
0.028025491163134575,
0.042607732117176056,
-0.05983691290020943,
-0.0355171374976635,
-0.004491779021918774,
0.045206546783447266,
0.005879417527467012,
0.04912080988287926,
-0.009031684137880802,
-0.020950939506292343,
-0.0017535984516143799,
0.023581838235259056,
-0.011678624898195267,
-0.024207480251789093,
-0.04963415488600731,
0.007351277396082878,
-0.01596185751259327,
0.02446415275335312,
0.05666058138012886,
-0.008430106565356255,
-0.053612589836120605,
0.02436790056526661,
0.00963326171040535,
-0.003447039285674691,
-0.00742346653714776,
0.01987612061202526,
0.012360412627458572,
-0.020886771380901337,
0.03731384873390198,
-0.03914264589548111,
0.056307654827833176,
0.015336216427385807,
-0.018191704526543617,
0.005743060261011124,
0.03280602768063545,
-0.04013725370168686,
-0.053997598588466644,
-0.0033407604787498713,
0.03664008155465126,
0.029774077236652374,
-0.02818591147661209,
-0.0011209395015612245,
0.07648857682943344,
-0.05617931857705116,
0.0740501806139946,
0.05136669799685478,
-0.017726484686136246,
0.0034390182700008154,
0.007447529584169388,
-0.05938773229718208,
0.022314514964818954,
-0.03673633560538292,
-0.054703447967767715,
-0.03535671532154083,
0.012785527855157852,
0.028346333652734756,
0.033880844712257385,
-0.06487412005662918,
0.03631924092769623,
0.01637895032763481,
0.01897776499390602,
-0.03481128439307213,
0.013892429880797863,
0.06073526665568352,
-0.009577114135026932,
-0.00634062709286809,
-0.029709909111261368,
-0.016892297193408012,
0.007311172317713499,
0.02733568288385868,
0.02361392229795456,
0.017068760469555855,
-0.01977986842393875,
-0.05435052514076233,
0.021175527945160866,
0.001066797529347241,
-0.022298473864793777,
-0.060831520706415176,
-0.01836816780269146,
-0.012905843555927277,
0.005731028504669666,
-0.0072670564986765385,
0.010780269280076027,
0.023068493232131004,
-0.03516421094536781,
0.049794577062129974,
0.01310636941343546,
0.010595785453915596,
0.04764493927359581,
0.002434383612126112,
-0.026084400713443756,
-0.04382692649960518,
0.011943318881094456,
0.02096698246896267,
0.0108845429494977,
0.02582772821187973,
-0.012657190673053265,
0.012753443792462349,
0.03872555121779442,
0.00330466590821743,
-0.02932489849627018,
0.01374003104865551,
0.038789719343185425,
0.04883205145597458,
-0.01366784144192934,
0.005971659440547228,
-0.00032836105674505234,
0.013050221838057041,
-0.05268215015530586,
0.031105568632483482,
0.010018271394073963,
-0.017678357660770416,
-0.0005015652859583497,
-0.03676841780543327,
-0.01775856874883175,
0.046586163341999054,
0.014999332837760448,
0.005963638424873352,
-0.0510779432952404,
-0.0024043049197643995,
0.04437235742807388,
0.05605098232626915,
0.015873625874519348,
-0.06249989569187164,
-0.009087830781936646,
0.00718684634193778,
0.024399984627962112,
-0.0025968097615987062,
-0.013010116294026375,
-0.0009369570179842412,
0.00875896867364645,
0.08778218924999237,
-0.004479747265577316,
0.0005504434229806066,
-0.007688160985708237,
0.0072951302863657475,
0.025956064462661743,
-0.00993806030601263,
0.0410676933825016,
0.005101377610117197,
-0.01393253542482853,
0.02101510763168335,
0.016026025637984276,
0.037602607160806656,
0.03413752093911171,
-0.027656523510813713,
-0.05213671922683716,
-0.004094737581908703,
-0.0005619736621156335,
-0.034490443766117096,
0.010331091471016407,
-0.05062876269221306,
0.010651933029294014,
0.0002732164575718343,
-0.022490978240966797,
0.011205383576452732,
-0.008430106565356255,
0.015264026820659637,
-0.005486386828124523,
-0.03631924092769623,
0.007491645403206348,
-0.050404176115989685,
0.0212878230959177,
-0.00859052687883377,
0.04331358149647713,
0.01546455267816782,
0.03372042626142502,
0.03285415470600128,
0.06099193915724754,
0.01623457297682762,
0.03391293063759804,
-0.017886904999613762,
0.03943140059709549,
-0.0023702154867351055,
-0.023437460884451866,
0.060799434781074524,
-0.00015127168444450945,
0.04405151680111885,
0.004223074298352003,
0.05133461579680443,
0.033977098762989044,
0.0020734372083097696,
0.021737001836299896,
0.016780002042651176,
-0.011999466456472874,
0.022394726052880287,
-0.02969386614859104,
-0.0009835792006924748,
0.017485853284597397,
-0.006861994508653879,
-0.025811687111854553,
-0.02030925638973713,
0.02006862685084343,
0.031041400507092476,
-0.039206814020872116,
0.022699525579810143,
0.023918721824884415,
-0.020598014816641808,
-0.0405222624540329,
-0.043377749621868134,
-0.022827861830592155,
-0.027319639921188354,
0.0027792882174253464,
-0.010700059123337269,
0.0036956912372261286,
-0.005105387885123491,
0.01187113020569086,
-0.004158906172960997,
0.03112160973250866,
-0.025811687111854553,
0.0009951094398275018,
0.015496636740863323,
-0.016459161415696144,
-0.018801303580403328,
0.029758034273982048,
-0.004596052225679159,
-0.008510316722095013,
0.02101510763168335,
0.0028955931775271893,
0.009224188514053822,
0.027752775698900223,
0.003226460888981819,
-0.03622298687696457,
-0.02077447809278965,
0.06256406009197235,
0.011646540835499763,
0.011887172237038612,
-0.054190102964639664,
0.004239116329699755,
0.00363553361967206,
0.02979011833667755,
-0.03426585718989372,
0.022635357454419136,
0.04844704270362854,
0.0031001295428723097,
-0.01043536514043808,
0.018913596868515015,
-0.017197096720337868,
0.006561205722391605,
-0.0017034669872373343,
0.03413752093911171,
0.03946348652243614,
-0.04485362023115158,
0.04183771088719368,
0.029212605208158493,
-0.02903614193201065,
-0.02030925638973713,
-0.024480193853378296,
0.0035392811987549067,
0.0025546993128955364,
-0.007872644811868668,
-0.021143443882465363,
0.005743060261011124,
0.01705271750688553,
-0.015079542994499207,
-0.003643554635345936,
0.05512054264545441,
0.04507821053266525,
-0.032036010175943375,
0.025603139773011208,
-0.01681208610534668,
0.012368434108793736,
-0.012167908251285553,
-0.04267190024256706,
-0.009216167964041233,
-0.016314782202243805,
0.026982756331562996,
-0.06063901260495186,
-0.002065416192635894,
0.0505325123667717,
-0.027447978034615517,
0.05056459456682205,
-0.0014608307974413037,
0.0152720483019948,
-0.01135778333991766,
0.04042600840330124,
0.0056829024106264114,
0.01963549107313156,
-0.007066530641168356,
0.02624482288956642,
0.042415227741003036,
0.024672700092196465,
0.03635132312774658,
0.0163869708776474,
-0.01647520251572132,
-0.012970011681318283,
-0.01359565183520317,
-0.010411301627755165,
-0.0019651532638818026,
0.05566597357392311,
0.025940023362636566,
0.017582105472683907,
-0.026469411328434944,
0.03814803436398506,
-0.035196296870708466,
0.02087073028087616,
-0.07526937872171402,
0.0029697876889258623,
0.01963549107313156,
-0.04164520651102066,
0.015616952441632748,
-0.026806294918060303,
0.021031150594353676,
-0.020469678565859795,
-0.0005649815429933369,
-0.004604073241353035,
-0.03593423217535019,
-0.004303284455090761,
0.04254356399178505,
0.028651131317019463,
-0.0015801435802131891,
0.013531483709812164,
-0.01053161732852459,
0.0701359212398529,
0.013226684182882309,
0.035581305623054504,
0.03078472800552845,
-0.023950805887579918,
-0.029613656923174858,
0.002454436384141445,
-0.017389601096510887,
-0.011558309197425842,
-0.011823003180325031,
-0.02833029069006443,
-0.046907003968954086,
-0.04973040893673897,
-0.04511029273271561,
0.0380517840385437,
0.014742659404873848,
0.013635757379233837,
0.027592355385422707,
-0.005129450932145119,
0.0055264923721551895,
-0.033592090010643005,
0.015247984789311886,
-0.06330199539661407,
0.028490711003541946,
-0.03603048250079155,
-0.0660933181643486,
-0.05178379267454147,
-0.020373426377773285,
0.021560538560152054,
0.038789719343185425,
-0.035998400300741196,
-0.004896841011941433,
0.008983558043837547,
-0.005783165339380503,
0.010732143186032772,
0.0023722206242382526,
-0.011606435291469097,
-0.036094650626182556,
-0.0440836027264595,
0.011125173419713974,
-0.05117419362068176,
0.013170537538826466,
-0.015937793999910355,
0.022314514964818954,
0.012047592550516129,
-0.013395125977694988,
-0.03404126688838005,
0.013635757379233837,
0.0070825726725161076,
-0.014870996586978436,
-0.0625961497426033,
-0.02063009887933731,
-0.016491245478391647,
-0.004636157304048538,
0.008847200311720371,
-0.0015029411297291517,
0.011574351228773594,
-0.019892163574695587,
0.03442627564072609,
0.026148568838834763,
-0.02148032747209072,
0.007331224624067545,
0.005743060261011124,
0.008638652972877026,
-0.0025025624781847,
-0.05236130952835083,
0.011654562316834927,
0.014325565658509731,
-0.003828038228675723,
-0.0014257386792451143,
-0.016082173213362694,
-0.014710575342178345,
0.007503677159547806,
-0.062211137264966965,
0.04196604713797569,
-0.021079275757074356,
-0.010138586163520813,
0.006978299468755722,
-0.027095051482319832,
0.0595802366733551,
-0.015649037435650826,
0.031715165823698044,
0.008702821098268032,
0.016731876879930496,
-0.004816630855202675,
-0.01567309908568859,
0.010964753106236458,
0.008911368437111378,
0.02043759450316429,
-0.016892297193408012,
0.029758034273982048,
-0.03059222176671028,
-0.013363041914999485,
-0.007194867357611656,
-0.023052450269460678,
-0.04036184027791023,
-0.0024143310729414225,
0.0636228397488594,
-0.024897288531064987,
0.009970145300030708,
0.06667083501815796,
0.020886771380901337,
0.013788157142698765,
-0.0028554878663271666,
0.018801303580403328,
-0.011766856536269188,
0.011502162553369999,
-0.020662182942032814,
-0.004130832385271788,
-0.014590260572731495,
0.017967116087675095,
-0.021127402782440186,
-0.00018297982751391828,
-0.016988549381494522,
0.014718596823513508,
-0.015408406034111977,
-0.011028921231627464,
-0.023629965260624886,
0.02058197185397148,
0.003274586983025074,
0.08296956866979599,
0.034971706569194794,
-0.02346954494714737,
0.0014066888252273202,
0.03442627564072609,
0.009978165850043297,
0.04007308557629585,
0.026565663516521454,
0.0026469409931451082,
0.010467449203133583,
-0.03165099769830704,
0.026742126792669296,
-0.01161445677280426,
-0.003276592353358865,
0.029902413487434387,
0.016763960942626,
-0.0125128123909235,
0.037281762808561325,
0.01582549884915352,
-0.01841629296541214,
0.04793369770050049,
-0.016314782202243805,
-0.010603806935250759,
0.028683217242360115,
-0.022458894178271294,
0.020245088264346123,
-0.03590214625000954,
0.029212605208158493,
0.02837841771543026,
0.022122010588645935,
0.004391516093164682,
-0.02436790056526661,
0.015697162598371506,
0.04533488303422928,
0.011566330678761005,
0.09291565418243408,
-0.023646006360650063,
0.004098748322576284,
0.030207213014364243,
-0.05094960704445839,
-0.017726484686136246,
-0.013018137775361538,
0.010443385690450668,
-0.027464019134640694,
0.0052337246015667915,
0.02337329275906086,
0.024624573066830635,
0.05893855541944504,
-0.03436210751533508,
-0.00856646429747343,
0.019908204674720764,
0.04334566742181778,
-0.010491511784493923,
-0.024255605414509773,
-0.0830979123711586,
-0.009689408354461193,
-0.005847333464771509,
-0.06987924873828888,
-0.0440194308757782,
0.007716234307736158,
0.02507375180721283,
-0.0127694858238101,
0.014678491279482841,
-0.013082305900752544,
-0.010772247798740864,
-0.017020633444190025,
0.041388534009456635,
0.0013304889434948564,
0.043185245245695114,
0.006120048463344574,
0.0063767218962311745,
-0.029998665675520897,
0.033880844712257385,
-0.025378551334142685,
-0.04873580113053322,
0.013948577456176281,
-0.03210017830133438,
-0.003314692061394453,
0.0004198509850539267,
0.0004466712998691946,
-0.05974065884947777,
-0.032372891902923584,
0.016138318926095963,
-0.013988683000206947,
-0.02191346324980259,
0.05117419362068176,
-0.015344236977398396,
-0.05188004672527313,
0.022442853078246117,
0.0645853653550148,
-0.014975270256400108,
0.034490443766117096,
0.06246780976653099,
0.005426229443401098,
-0.008999600075185299,
0.011662582866847515,
0.0192665234208107,
-0.013876387849450111,
-0.031282030045986176,
0.001085847383365035,
-0.006998351775109768,
-0.017405642196536064,
-0.08649882674217224,
-0.0051775770261883736,
0.01917027123272419,
-0.010988815687596798,
0.021929506212472916,
-0.006653447635471821,
-0.012408538721501827,
-0.02436790056526661
] |
Humans often acquire new skills through observation and imitation. For
robotic agents, learning from the plethora of unlabeled video demonstration
data available on the Internet necessitates imitating the expert without access
to its action, presenting a challenge known as Imitation Learning from
Observations (ILfO). A common approach to tackle ILfO problems is to convert
them into inverse reinforcement learning problems, utilizing a proxy reward
computed from the agent's and the expert's observations. Nonetheless, we
identify that tasks characterized by a progress dependency property pose
significant challenges for such approaches; in these tasks, the agent needs to
initially learn the expert's preceding behaviors before mastering the
subsequent ones. Our investigation reveals that the main cause is that the
reward signals assigned to later steps hinder the learning of initial
behaviors. To address this challenge, we present a novel ILfO framework that
enables the agent to master earlier behaviors before advancing to later ones.
We introduce an Automatic Discount Scheduling (ADS) mechanism that adaptively
alters the discount factor in reinforcement learning during the training phase,
prioritizing earlier rewards initially and gradually engaging later rewards
only when the earlier behaviors have been mastered. Our experiments, conducted
on nine Meta-World tasks, demonstrate that our method significantly outperforms
state-of-the-art methods across all tasks, including those that are unsolvable
by them. | [
-0.014165349304676056,
0.00805959478020668,
-0.03436806797981262,
-0.021101485937833786,
-0.02889731153845787,
-0.009568937122821808,
0.004703872837126255,
0.03012823313474655,
-0.04978387430310249,
0.033938221633434296,
-0.011439740657806396,
-0.04650142043828964,
0.016519727185368538,
-0.03386006876826286,
-0.03737698495388031,
0.04669680446386337,
0.015493961051106453,
0.04036635905504227,
-0.030030541121959686,
-0.0402100533246994,
0.03878374770283699,
0.009490784257650375,
-0.024579323828220367,
0.04599342495203018,
-0.006750521715730429,
0.03655637055635452,
0.019763104617595673,
-0.003424106864258647,
-0.10621081292629242,
0.018922952935099602,
0.02182440645992756,
0.01544511504471302,
-0.027646854519844055,
-0.004105508793145418,
-0.035794373601675034,
0.0380803644657135,
0.0491977222263813,
0.02428624778985977,
-0.0235047098249197,
0.037083908915519714,
-0.038881439715623856,
-0.011215048842132092,
-0.07553550601005554,
-0.05220663920044899,
-0.025732088834047318,
-0.030225925147533417,
-0.007229212671518326,
-0.012797660194337368,
-0.055059246718883514,
-0.014556117355823517,
-0.006721213925629854,
-0.04868972301483154,
0.005920139141380787,
-0.004244720097631216,
0.0030015886295586824,
0.03337160870432854,
0.0647502988576889,
-0.02715839445590973,
0.022586405277252197,
0.018414953723549843,
-0.003656125394627452,
-0.000888387206941843,
-0.061741385608911514,
0.013393581844866276,
0.032082073390483856,
-0.050956178456544876,
-0.013862503692507744,
0.03372329846024513,
-0.01915741339325905,
0.006862867623567581,
-0.02856515906751156,
-0.05142510309815407,
-0.036497753113508224,
-0.015855422243475914,
0.0032555880025029182,
-0.025927472859621048,
0.04708757624030113,
0.02491147629916668,
0.022000253200531006,
-0.04829895496368408,
-0.024618400260806084,
0.0011790210846811533,
-0.018063262104988098,
0.00201123533770442,
0.08604717254638672,
-0.04142143577337265,
0.022137021645903587,
-0.06611798703670502,
0.04708757624030113,
-0.06127246096730232,
-0.006765175145119429,
0.017223110422492027,
0.02549762837588787,
-0.020261334255337715,
-0.04474296420812607,
0.013696427457034588,
0.0072878277860581875,
-0.007058251649141312,
-0.04630603641271591,
-0.019557951018214226,
-0.002452070824801922,
-0.013051659800112247,
-0.033176224678754807,
-0.03712298348546028,
0.019333260133862495,
-0.003348395461216569,
-0.05650508776307106,
-0.054355863481760025,
-0.016969110816717148,
0.16287221014499664,
0.00616436917334795,
0.016392728313803673,
-0.02999146282672882,
0.06283553689718246,
-0.013725735247135162,
0.01929418183863163,
0.01354988943785429,
-0.05869339033961296,
0.061624154448509216,
-0.020183179527521133,
0.05466847866773605,
0.07194043695926666,
0.008909516036510468,
0.021863482892513275,
-0.04278912395238876,
0.03751375153660774,
-0.040483590215444565,
-0.025204552337527275,
0.024540245532989502,
-0.032140687108039856,
-0.015415807254612446,
-0.010814511217176914,
-0.019421182572841644,
0.011918432079255581,
0.023211633786559105,
0.06787644326686859,
0.008733670227229595,
-0.015366961248219013,
0.0026279164012521505,
-0.01836610771715641,
-0.019782641902565956,
-0.017643187195062637,
-0.030382230877876282,
0.016099652275443077,
0.02715839445590973,
0.030382230877876282,
0.02612285688519478,
0.06287461519241333,
-0.019978027790784836,
0.045563578605651855,
-0.04958849027752876,
0.03981928527355194,
-0.0045890845358371735,
0.029424849897623062,
0.04415681213140488,
0.03305899351835251,
-0.020515333861112595,
-0.012348276562988758,
0.02858469821512699,
0.002654781797900796,
0.08018564432859421,
0.004684334620833397,
-0.007908172905445099,
0.08057641237974167,
0.047986339777708054,
-0.00014379050116986036,
0.008797170594334602,
-0.028682390227913857,
-0.0715496689081192,
0.05021372064948082,
-0.02055441029369831,
-0.04763465002179146,
0.028408851474523544,
0.028858235105872154,
0.04294542968273163,
0.009412630461156368,
0.03274637833237648,
0.016949573531746864,
-0.014448655769228935,
0.004789353348314762,
-0.058341700583696365,
-0.009178169071674347,
-0.004552450031042099,
0.03524729609489441,
0.047556497156620026,
0.004169008694589138,
0.03626329451799393,
-0.030773000791668892,
0.014790578745305538,
-0.05072171986103058,
0.014009041711688042,
0.03190622851252556,
0.024677015841007233,
0.05509832501411438,
-0.01098058745265007,
-0.05619247630238533,
-0.011654662899672985,
0.01935279741883278,
-0.024423016235232353,
0.01724264957010746,
-0.04622788354754448,
-0.03839297965168953,
-0.0024813783820718527,
0.024442553520202637,
0.04079620540142059,
-0.021101485937833786,
0.03249238058924675,
-0.005182563792914152,
0.004105508793145418,
-0.055645398795604706,
-0.020906101912260056,
-0.05291002243757248,
-0.021335946395993233,
-0.03343022242188454,
0.0001650079939281568,
-0.030929306522011757,
0.0009427284239791334,
0.0024630611296743155,
-0.015874959528446198,
-0.02600562758743763,
-0.03675175458192825,
-0.013207967393100262,
0.023602401837706566,
-0.009505437687039375,
-0.0037587021943181753,
-0.03524729609489441,
0.033742837607860565,
-0.00881670881062746,
0.04036635905504227,
0.015191115438938141,
-0.011322510428726673,
-0.0032604725565761328,
0.017203573137521744,
-0.014487733133137226,
-0.03460253030061722,
0.0010904876980930567,
0.00278666615486145,
0.016050806269049644,
0.03659544512629509,
-0.006672367919236422,
0.025282705202698708,
-0.0005162414745427668,
-0.036966677755117416,
-0.03768959641456604,
0.02274271287024021,
0.042867276817560196,
0.02889731153845787,
0.0427500456571579,
0.04489927366375923,
0.00855294056236744,
0.018864337354898453,
-0.017985109239816666,
-0.05408232659101486,
0.02305532619357109,
-0.0493149533867836,
0.06654783338308334,
0.049080491065979004,
0.019440719857811928,
0.008435709401965141,
-0.018239108845591545,
0.03974113240838051,
0.009168400429189205,
0.05681770294904709,
0.0065209451131522655,
0.014243503101170063,
0.011889124289155006,
0.026611318811774254,
0.002176090609282255,
0.06834536790847778,
-0.025204552337527275,
-0.0447038896381855,
0.022039329633116722,
-0.005671024322509766,
0.005202102474868298,
-0.016226651147007942,
-0.06615706533193588,
0.018571261316537857,
-0.015679575502872467,
0.02375870943069458,
0.05337894335389137,
0.010365127585828304,
-0.028291622176766396,
0.011771894060075283,
0.0651019886136055,
-0.005920139141380787,
0.0005418856744654477,
-0.035794373601675034,
0.03280499577522278,
-0.05373063310980797,
0.023211633786559105,
-0.010159974917769432,
-0.01715472713112831,
-0.03854928910732269,
0.004652584437280893,
0.05869339033961296,
0.01763341762125492,
-0.024579323828220367,
-0.0268457792699337,
0.003976067062467337,
0.0032702418975532055,
-0.0061350613832473755,
-0.015523268841207027,
0.043766044080257416,
-0.016011729836463928,
0.004799122456461191,
0.012641352601349354,
-0.044469427317380905,
0.0023995612282305956,
-0.019587257876992226,
-0.044078659266233444,
-0.01564049907028675,
0.012631583958864212,
-0.0313396155834198,
-0.016812803223729134,
-0.03126145899295807,
0.06260107457637787,
0.01046281959861517,
-0.0017206014599651098,
-0.027060700580477715,
-0.024423016235232353,
0.014419348910450935,
-0.03069484606385231,
-0.05228479206562042,
0.0036341447848826647,
0.005988523364067078,
0.023485172539949417,
0.020261334255337715,
-0.012641352601349354,
-0.03942851722240448,
-0.006476983893662691,
-0.037670060992240906,
-0.035794373601675034,
-0.0035755294375121593,
0.03470022231340408,
0.018092570826411247,
0.008250094950199127,
-0.03575529530644417,
0.06623522192239761,
-0.036829907447099686,
-0.08073271811008453,
-0.01825864613056183,
-0.022899020463228226,
0.010355358943343163,
-0.041186973452568054,
0.014692886732518673,
-0.0030968384817242622,
-0.026044704020023346,
-0.007932595908641815,
0.002134571550413966,
-0.014184887520968914,
0.0011259010061621666,
-0.04243743047118187,
-0.03946759179234505,
0.023426556959748268,
0.06627429276704788,
-0.032531458884477615,
-0.006027600262314081,
-0.007155943661928177,
-0.03942851722240448,
-0.0011771894060075283,
0.03360607102513313,
-0.08565640449523926,
-0.04282820224761963,
0.06432045251131058,
-0.051073409616947174,
-0.00047350121894851327,
-0.030929306522011757,
-0.01017951313406229,
0.0290340818464756,
0.06588352471590042,
-0.011547202244400978,
0.02676762454211712,
0.03176945820450783,
0.0007082674419507384,
-0.023426556959748268,
0.03847113624215126,
0.007278058677911758,
-0.03542314097285271,
-0.05224571377038956,
0.04431312158703804,
-0.02325071021914482,
0.02280132845044136,
-0.02838931418955326,
0.008377094753086567,
0.009026746265590191,
0.021355485543608665,
0.0003251314046792686,
-0.03311761096119881,
-0.018932722508907318,
0.024188553914427757,
0.050760794430971146,
-0.01486873161047697,
-0.05341802164912224,
-0.012963736429810524,
0.027568699792027473,
0.016676034778356552,
0.023875940591096878,
-0.0156698077917099,
0.020124565809965134,
-0.013325197622179985,
-0.006921482738107443,
-0.010404204949736595,
0.029835155233740807,
0.029932847246527672,
-0.03083161450922489,
0.003917451947927475,
0.016168035566806793,
-0.020222257822752,
-0.013471735641360283,
0.042476508766412735,
-0.02485286071896553,
-0.03641960024833679,
0.014272810891270638,
0.030265001580119133,
0.015767499804496765,
0.005558678414672613,
-0.0038588366005569696,
-0.00907070841640234,
0.02145317755639553,
0.022039329633116722,
-0.039194054901599884,
0.02266455814242363,
0.08385886996984482,
0.03397729992866516,
-0.0006182075594551861,
0.023133480921387672,
-0.03712298348546028,
0.002305532805621624,
-0.06799367815256119,
-0.025224091485142708,
0.03305899351835251,
0.04693126678466797,
0.0535743273794651,
-0.020261334255337715,
0.008162171579897404,
0.004024913068860769,
0.031554535031318665,
0.04552450031042099,
-0.07268289476633072,
-0.03909636288881302,
-0.03544268012046814,
-0.0630309209227562,
-0.029327157884836197,
0.008362440392374992,
0.024833321571350098,
-0.08542194217443466,
-0.005202102474868298,
-0.027177931740880013,
0.022000253200531006,
-0.03989743813872337,
-0.10144343972206116,
0.0089437086135149,
-0.038627441972494125,
-0.02401270903646946,
0.03327391669154167,
-0.031749919056892395,
0.007795826531946659,
-0.040561743080616,
-0.03602883219718933,
0.00525094848126173,
-0.003988278564065695,
0.008562709204852581,
0.00926609244197607,
-0.026494087651371956,
0.03585298731923103,
0.022957634180784225,
-0.03931128606200218,
-0.0025302243884652853,
0.008406401611864567,
0.04243743047118187,
0.03827574849128723,
-0.038998670876026154,
-0.029385773465037346,
0.05767739564180374,
0.04419589042663574,
0.019704489037394524,
-0.030206385999917984,
-0.06150692328810692,
0.009432168677449226,
-0.04654049873352051,
0.049158647656440735,
-0.006535599008202553,
0.04661865159869194,
-0.03841251879930496,
0.01780926249921322,
0.008206133730709553,
0.052167560905218124,
0.004183662589639425,
-0.011654662899672985,
-0.013188428245484829,
0.0008309931145049632,
-0.03706436976790428,
-0.024129940196871758,
0.01782880164682865,
-0.02119917795062065,
-0.040991589426994324,
-0.02922946587204933,
-0.07479304075241089,
0.02670901082456112,
-0.0292099267244339,
0.0035657603293657303,
0.007815364748239517,
0.01037489715963602,
0.000357797194737941,
0.027959467843174934,
0.003363049356266856,
-0.016001960262656212,
-0.051854945719242096,
0.02241055853664875,
0.003993162885308266,
-0.017369648441672325,
0.023934556171298027,
0.012680429965257645,
-0.015259500592947006,
0.003990720957517624,
0.016861649230122566,
0.00011929116590181366,
0.0010349253425374627,
0.035481758415699005,
0.004652584437280893,
0.01374527346342802,
0.03948713093996048,
0.026298703625798225,
0.00032604727311991155,
-0.0713152065873146,
0.03987789899110794,
0.02651362679898739,
-0.0019220913527533412,
0.08096718043088913,
0.029444387182593346,
-0.010638665407896042,
0.011820740066468716,
-0.024305785074830055,
-0.03327391669154167,
0.0064183687791228294,
0.020261334255337715,
0.054043248295784,
0.04349250718951225,
0.03440714627504349,
-0.006008062046021223,
0.006374407093971968,
-0.008220787160098553,
-0.005182563792914152,
0.058654315769672394,
0.0030968384817242622,
0.000054035921493778005,
0.04614973068237305,
-0.028174391016364098,
-0.00818659458309412,
0.052870944142341614,
-0.0001124221962527372,
0.025653935968875885,
-0.004159239586442709,
0.015308346599340439,
-0.035989757627248764,
-0.005793139338493347,
0.004117720294743776,
0.008020518347620964,
-0.011986816301941872,
-0.008968131616711617,
0.010140435770154,
-0.017848340794444084,
0.00551960151642561,
0.01915741339325905,
-0.004208085592836142,
-0.016392728313803673,
0.020593486726284027,
0.019059721380472183,
-0.005890831351280212,
0.029307618737220764,
-0.018864337354898453,
-0.008655516430735588,
-0.027431931346654892,
-0.016842111945152283,
0.03167176619172096,
0.030089154839515686,
0.011840278282761574,
-0.04060082137584686,
-0.014712424948811531,
-0.028780082240700722,
0.01698864996433258,
-0.01361827366054058,
0.00701428996399045,
0.024383939802646637,
-0.021335946395993233,
-0.03430945426225662,
-0.04314081370830536,
-0.0312809981405735,
0.014683117158710957,
-0.0063695223070681095,
-0.023153018206357956,
0.024501169100403786,
-0.002862377557903528,
0.04165589436888695,
-0.02137502282857895,
-0.009764322079718113,
-0.019811950623989105,
0.007414827588945627,
0.019782641902565956,
-0.04075712710618973,
0.0008480892283841968,
0.024813784286379814,
-0.019001105800271034,
-0.008728785440325737,
0.007878865115344524,
-0.04732203483581543,
0.025204552337527275,
0.00009349436004413292,
0.051542334258556366,
0.017369648441672325,
-0.00019202596740797162,
0.04638419300317764,
-0.0006243133684620261,
-0.0426328182220459,
0.051972176879644394,
-0.0011631461093202233,
0.03505191206932068,
0.02305532619357109,
0.016578342765569687,
-0.030929306522011757,
0.00786421075463295,
0.013413120061159134,
0.028916850686073303,
0.024618400260806084,
-0.007492981385439634,
0.016021497547626495,
0.008294056169688702,
-0.037474676966667175,
-0.014057887718081474,
-0.022684097290039062,
0.01932349056005478,
-0.016969110816717148,
0.029249003157019615,
-0.01707657240331173,
-0.015493961051106453,
0.003990720957517624,
0.009632437489926815,
0.02162902243435383,
0.015435346402227879,
-0.008836247026920319,
-0.0450555793941021,
0.0313396155834198,
0.023797785863280296,
0.08346810191869736,
0.0021821963600814342,
0.04001466929912567,
0.007165712770074606,
-0.008113325573503971,
0.03917451575398445,
-0.000888387206941843,
-0.07467581331729889,
0.016490420326590538,
0.03243376314640045,
0.03782636672258377,
-0.006198561284691095,
-0.011693740263581276,
0.005158140789717436,
-0.01940164342522621,
0.005373063497245312,
0.07354258745908737,
0.05603616684675217,
-0.05701308697462082,
-0.007932595908641815,
0.013139582239091396,
0.03536452725529671,
-0.0006182075594551861,
0.0189522597938776,
0.029073158279061317,
-0.004247162491083145,
0.048650648444890976,
-0.016812803223729134,
-0.01701795682311058,
-0.011977046728134155,
0.03468068316578865,
0.025732088834047318,
-0.020085487514734268,
-0.009207476861774921,
0.02960069477558136,
0.03698621690273285,
-0.047751881182193756,
-0.01948956586420536,
-0.030773000791668892,
-0.03950667008757591,
-0.004745392128825188,
0.019870566204190254,
-0.02182440645992756,
-0.003167665097862482,
0.012739044614136219,
-0.02965931035578251,
0.07053367048501968,
0.016363421455025673,
0.003433875972405076,
0.018795952200889587,
-0.014722193591296673,
0.02092563919723034,
0.011693740263581276,
-0.01467334758490324,
-0.02274271287024021,
0.05388694256544113,
0.022762250155210495,
-0.03294176235795021,
0.0055733323097229,
-0.0003529125824570656,
0.003113934537395835,
0.062561996281147,
0.001567957573570311,
0.011136895045638084,
0.023289788514375687,
-0.03089023008942604,
-0.0005177679122425616,
-0.010199051350355148,
0.026220548897981644,
-0.01749664917588234,
0.03884236514568329,
0.05279279127717018,
0.037396520376205444,
0.00752717349678278,
-0.05502016842365265,
0.029268542304635048,
-0.0002607156930025667,
0.03507145121693611,
-0.024090861901640892,
0.02856515906751156,
-0.06221030652523041,
0.00811821036040783,
0.02530224435031414,
0.012055200524628162,
0.03384052962064743,
-0.0015069000655785203,
0.00002531979771447368,
0.005246063694357872,
-0.01682257279753685,
-0.02588839642703533,
-0.007468558382242918,
0.004366835113614798,
0.005006718449294567,
0.019479798153042793,
0.03442668169736862,
0.023211633786559105,
-0.07338627427816391,
0.010560511611402035,
-0.017936263233423233,
0.049666643142700195,
-0.0076737115159630775,
0.018092570826411247,
0.038568828254938126,
-0.007492981385439634,
0.051972176879644394,
-0.005236294586211443,
-0.024442553520202637,
0.06580537557601929,
0.004972525872290134,
0.026728548109531403,
0.025868859142065048,
-0.03389914706349373,
-0.011586278676986694,
0.009632437489926815,
-0.021355485543608665,
0.03204299509525299,
0.02620101161301136,
0.042867276817560196,
0.04204666242003441,
0.025986088439822197,
0.008025403134524822,
0.006442791782319546,
-0.009148861281573772,
-0.046657729893922806,
0.011342048645019531,
0.03956528380513191,
0.00034924913779832423,
0.008826477453112602,
0.003624375443905592,
0.0423983559012413,
-0.05388694256544113,
-0.010658204555511475,
0.044860195368528366,
-0.009691053070127964,
-0.010638665407896042,
-0.029249003157019615,
-0.02561485953629017,
-0.030147770419716835,
-0.001776774413883686,
0.0006008062046021223,
0.03954574838280678,
0.0468921884894371,
0.03403591364622116,
0.0022469174582511187,
0.010072051547467709,
-0.00680913683027029,
-0.016773726791143417,
0.01870802976191044,
0.039780206978321075,
-0.03221884369850159,
0.004496277309954166,
0.05103433504700661,
-0.006501406896859407,
0.0006771280895918608,
-0.005490293726325035,
0.04122605174779892,
-0.02631824091076851,
0.026220548897981644,
-0.0145170409232378,
-0.025263167917728424,
0.03049946203827858,
-0.03120284527540207,
0.0035901833325624466,
0.0145170409232378,
-0.0032360495533794165,
-0.02299671247601509,
-0.015435346402227879,
0.02067164145410061,
0.04779095575213432,
-0.012612045742571354,
-0.001472707837820053,
-0.01200635451823473,
-0.017369648441672325,
-0.009285630658268929,
-0.012152892537415028,
-0.0014971308410167694,
-0.07057274878025055,
0.001460496336221695,
-0.05490294098854065,
-0.013559658080339432,
0.014946885406970978,
-0.03366468474268913,
-0.007004520855844021,
0.013598735444247723,
-0.0029087811708450317,
0.030655769631266594,
-0.01977287419140339,
0.02721700817346573,
0.05916231498122215,
-0.02922946587204933,
0.0049749682657420635,
-0.02112102322280407,
0.04036635905504227,
-0.012914890423417091,
-0.007317135576158762,
-0.012592506594955921,
0.04314081370830536,
0.006271830294281244,
-0.02112102322280407,
-0.03929174691438675,
-0.07448042929172516,
0.004127489868551493,
-0.018092570826411247,
-0.03075346164405346,
0.017897186800837517,
-0.008899747394025326,
0.020964717492461205,
0.020202718675136566,
0.05439494177699089,
0.02715839445590973,
-0.038686055690050125,
-0.03915498033165932,
0.038881439715623856,
0.007146174553781748,
0.07803642004728317,
-0.004366835113614798,
-0.007751865312457085,
0.022508250549435616,
0.040874358266592026,
-0.025595320388674736,
-0.053769711405038834,
0.035989757627248764,
0.008626209571957588,
0.007180366665124893,
-0.010042743757367134,
-0.04454758018255234,
-0.05001833662390709,
0.04732203483581543,
0.01746734045445919,
-0.03427037596702576,
0.010384666733443737,
-0.0006972770788706839,
0.01730126515030861,
0.03626329451799393,
-0.014272810891270638,
-0.00023323979985434562,
-0.056348782032728195,
0.016295036301016808,
-0.0035266834311187267,
0.03724021464586258,
-0.04673588275909424,
0.031828075647354126,
-0.00401514396071434,
-0.027002086862921715,
-0.019421182572841644,
0.0013151793973520398,
-0.022332405671477318,
0.03591160103678703,
0.050370026379823685,
-0.05537186190485954,
-0.017389187589287758,
0.020691178739070892,
0.011048972606658936,
-0.01822933927178383,
-0.023270249366760254,
-0.011508124880492687,
-0.022840404883027077,
-0.006218099966645241,
0.030675306916236877,
0.04329712316393852,
-0.008826477453112602,
0.0067456369288265705,
-0.010413973592221737,
0.02510686032474041,
0.002918550278991461,
0.034192223101854324,
-0.003402126021683216,
-0.03286360949277878,
0.01140066422522068,
0.05998292565345764,
-0.005812677554786205,
-0.014370502904057503,
-0.010413973592221737,
-0.009466361254453659,
-0.05158140882849693,
0.01168397068977356,
-0.01884479820728302,
0.04618880897760391,
0.01213335432112217,
0.004071316681802273,
0.041773125529289246,
-0.031183306127786636,
0.020906101912260056,
0.01935279741883278,
0.008220787160098553,
0.01735987886786461,
-0.029522541910409927,
-0.03311761096119881,
0.04614973068237305,
0.007375750690698624,
0.015747960656881332,
-0.005793139338493347,
0.01043351273983717,
-0.03337160870432854,
0.02620101161301136,
0.011908662505447865,
0.009026746265590191,
-0.050643566995859146,
0.0036072793882340193,
-0.014380271546542645,
0.03249238058924675,
0.03724021464586258,
0.01701795682311058,
0.006584445014595985,
0.051659561693668365,
0.017340341582894325,
-0.011547202244400978,
-0.056153398007154465,
-0.039584822952747345,
-0.038236673921346664,
-0.03874467313289642,
0.005172794684767723,
-0.030812077224254608,
-0.02985469438135624,
-0.00772255752235651,
-0.014487733133137226,
0.06588352471590042,
0.016470881178975105,
0.03012823313474655,
-0.03622421622276306,
-0.018883876502513885,
-0.030323617160320282,
0.026181472465395927,
0.014429117552936077,
-0.012436199933290482,
-0.016549035906791687,
0.014087195508182049,
-0.005177679471671581,
-0.019792411476373672,
0.0032238380517810583,
-0.0009616562747396529,
-0.0031310305930674076,
0.0026328011881560087,
-0.043062660843133926,
-0.014985962770879269,
-0.05998292565345764,
-0.003433875972405076,
0.023289788514375687,
-0.03257053345441818,
0.03044084645807743,
0.012406892143189907,
-0.011527663096785545,
-0.05228479206562042,
0.0032140689436346292,
0.009691053070127964,
-0.021941637620329857,
-0.0024923686869442463,
-0.013159120455384254,
0.015083654783666134,
0.019362566992640495,
-0.02201979048550129,
-0.03999513015151024,
0.005329102277755737,
-0.02491147629916668,
0.003463183529675007,
0.010257666930556297,
0.02766639180481434,
-0.04232020303606987,
0.02754916250705719,
0.01374527346342802,
0.039389438927173615,
-0.0006783492863178253,
0.024559784680604935,
0.07252658903598785,
0.02389547787606716,
-0.040170975029468536,
0.006110638380050659,
-0.007444135379046202,
0.005587986204773188,
-0.041577741503715515,
0.0038734902627766132,
-0.013784349896013737,
-0.026435472071170807,
0.01890341378748417,
-0.05802908539772034,
-0.04759557172656059,
-0.0292099267244339,
0.018971798941493034,
-0.02446209266781807,
0.04040543735027313,
-0.022684097290039062
] |
The challenge of navigation in environments with dynamic objects continues to
be a central issue in the study of autonomous agents. While predictive methods
hold promise, their reliance on precise state information makes them less
practical for real-world implementation. This study presents visual forecasting
as an innovative alternative. By introducing intuitive visual cues, this
approach projects the future trajectories of dynamic objects to improve agent
perception and enable anticipatory actions. Our research explores two distinct
strategies for conveying predictive information through visual forecasting: (1)
sequences of bounding boxes, and (2) augmented paths. To validate the proposed
visual forecasting strategies, we initiate evaluations in simulated
environments using the Unity engine and then extend these evaluations to
real-world scenarios to assess both practicality and effectiveness. The results
confirm the viability of visual forecasting as a promising solution for
navigation and obstacle avoidance in dynamic environments. | [
0.0037961448542773724,
0.0010203029960393906,
-0.042379990220069885,
-0.019612623378634453,
0.014519422315061092,
0.020771896466612816,
-0.007273964583873749,
0.04093565046787262,
-0.0892450362443924,
-0.01461444515734911,
0.038997191935777664,
0.045268669724464417,
0.008884594775736332,
-0.036830682307481766,
-0.0593319870531559,
0.04485057294368744,
0.03228861093521118,
0.036203533411026,
0.002803160808980465,
-0.019432080909609795,
-0.03614652156829834,
-0.009031878784298897,
-0.06993648409843445,
0.02111397683620453,
0.03863610699772835,
0.01626783423125744,
0.022235240787267685,
-0.016885479912161827,
-0.03798995539546013,
0.06685776263475418,
0.03251666575670242,
0.026321204379200935,
-0.038084976375103,
0.020714882761240005,
-0.022406281903386116,
0.03177548944950104,
0.024895869195461273,
0.015441140159964561,
-0.01145970169454813,
0.06628762930631638,
-0.015811726450920105,
-0.014890010468661785,
-0.0206768736243248,
-0.07202698290348053,
-0.026226181536912918,
0.0025418491568416357,
-0.039871398359537125,
0.009739795699715614,
-0.03857909515500069,
-0.010376445949077606,
-0.0391872376203537,
-0.07274915277957916,
0.036279551684856415,
-0.004824762232601643,
-0.01982167176902294,
-0.03523430600762367,
0.028867805376648903,
-0.0068131061270833015,
0.0517301931977272,
0.06336093693971634,
0.013749741017818451,
0.006418763194233179,
-0.06735187768936157,
-0.002672505099326372,
-0.03145241364836693,
-0.04279809072613716,
0.029475947842001915,
-0.026910344138741493,
0.002210458507761359,
-0.007397493813186884,
-0.02225424535572529,
0.03354290872812271,
-0.024914873763918877,
-0.030407167971134186,
0.006955639459192753,
0.005345010198652744,
0.021208999678492546,
0.021703116595745087,
-0.041391756385564804,
0.006931884214282036,
0.058495789766311646,
0.035196296870708466,
-0.06332292407751083,
-0.01385426614433527,
0.0881807878613472,
-0.049791738390922546,
0.032250601798295975,
-0.0811111181974411,
0.049183595925569534,
-0.05401073396205902,
-0.008547265082597733,
0.012039338238537312,
0.01970764622092247,
-0.022007187828421593,
-0.02499089203774929,
0.03439810872077942,
0.010176898911595345,
-0.0042379992082715034,
-0.02770853228867054,
0.001468096044845879,
0.02949495241045952,
0.004834264516830444,
-0.05781162902712822,
-0.009321697056293488,
0.0609663724899292,
-0.04333021491765976,
-0.024515779688954353,
0.008718305267393589,
-0.02607414685189724,
0.11030200123786926,
0.010994091629981995,
-0.03135739266872406,
-0.0087135536596179,
0.04306415095925331,
-0.03569041192531586,
0.05127408728003502,
-0.03930126503109932,
-0.016657426953315735,
0.025846092030405998,
-0.007264462299644947,
0.06602156162261963,
0.04671301320195198,
0.0609663724899292,
-0.030065087601542473,
-0.03359992057085037,
-0.009853823110461235,
0.025104917585849762,
0.0159162525087595,
0.010604499839246273,
0.02356555499136448,
0.012286396697163582,
0.04089764133095741,
0.009079390205442905,
0.04165782034397125,
-0.004974422510713339,
0.02035379782319069,
-0.04120171442627907,
0.00766355637460947,
-0.0045183151960372925,
0.04758721962571144,
-0.05089399591088295,
-0.03990940749645233,
-0.06507133692502975,
0.04986775666475296,
-0.012010831385850906,
0.02117099054157734,
0.011991826817393303,
0.04492659121751785,
-0.08628033846616745,
0.024363743141293526,
-0.05112205073237419,
-0.019935699179768562,
0.020277779549360275,
0.030407167971134186,
0.016866475343704224,
0.0028269162867218256,
-0.022843385115265846,
0.03534833341836929,
0.020657869055867195,
-0.06799802929162979,
0.06834010779857635,
-0.06761793792247772,
0.021646102890372276,
0.04697907343506813,
0.0489935502409935,
-0.04538269713521004,
0.05579715222120285,
-0.017189553007483482,
-0.030388163402676582,
0.038084976375103,
-0.0642351433634758,
-0.010880065150558949,
-0.0015072928508743644,
0.036773670464754105,
-0.01071852631866932,
0.03424607217311859,
0.06085234507918358,
0.022406281903386116,
-0.0555310919880867,
0.040099453181028366,
-0.08240342885255814,
-0.03282073512673378,
-0.009806311689317226,
0.04534468799829483,
0.010594997555017471,
0.05188222974538803,
0.06286682188510895,
-0.04177184775471687,
-0.007273964583873749,
-0.012552458792924881,
0.029513956978917122,
0.010366943664848804,
0.031015312299132347,
-0.0016343853203579783,
0.037799909710884094,
-0.0827074944972992,
-0.005254738498479128,
-0.018101766705513,
-0.02683432586491108,
0.028886809945106506,
-0.02829767018556595,
-0.04180985689163208,
0.005625326186418533,
0.034208063036203384,
-0.003929176367819309,
0.00868504773825407,
0.024857860058546066,
-0.010300428606569767,
0.020182758569717407,
-0.07149485498666763,
-0.011222145520150661,
-0.023831617087125778,
-0.06328491866588593,
0.014053813181817532,
-0.06742789596319199,
-0.0004139413358643651,
0.004969671368598938,
0.005240485537797213,
-0.014652454294264317,
-0.030787257477641106,
0.03474019095301628,
0.030331149697303772,
-0.005345010198652744,
0.026853330433368683,
-0.030008073896169662,
0.041391756385564804,
0.04093565046787262,
0.01769317127764225,
-0.002437324495986104,
-0.0071551864966750145,
-0.02193116955459118,
-0.009164910763502121,
0.0859762653708458,
-0.04013746231794357,
0.02341351844370365,
-0.0026511249598115683,
-0.00800088606774807,
0.02183614671230316,
-0.0030929790809750557,
0.0024943379685282707,
0.046028848737478256,
-0.020752891898155212,
-0.002379123354330659,
-0.01431987527757883,
0.0637030154466629,
0.05112205073237419,
-0.001101665897294879,
0.03342888131737709,
0.022824380546808243,
-0.00851400662213564,
0.011146127246320248,
-0.048423416912555695,
-0.03363792970776558,
0.0022140219807624817,
-0.007782334461808205,
0.04876549541950226,
0.017569642513990402,
0.03848407045006752,
-0.00378426699899137,
0.008357220329344273,
0.03308679908514023,
0.0258650965988636,
0.024629805237054825,
0.08080705255270004,
-0.015108561143279076,
-0.011611737310886383,
0.02307143807411194,
0.011326669715344906,
0.009739795699715614,
-0.04207591712474823,
-0.02907685376703739,
-0.05363064259290695,
0.010518979281187057,
-0.017826201394200325,
-0.023831617087125778,
0.005767859518527985,
0.030388163402676582,
0.04283609613776207,
0.034436117857694626,
0.022995421662926674,
0.01921352930366993,
-0.031262367963790894,
0.032307617366313934,
0.0002883335982915014,
-0.05188222974538803,
-0.01518457941710949,
-0.003375670872628689,
0.027461472898721695,
-0.04272207245230675,
0.03711574897170067,
-0.007848850451409817,
-0.012875535525381565,
-0.047283146530389786,
-0.004249876830726862,
0.06891024112701416,
0.007435502950102091,
-0.041505783796310425,
-0.028487715870141983,
-0.001953897997736931,
-0.015251095406711102,
-0.023698586970567703,
-0.006775096990168095,
-0.02318546548485756,
-0.006547043565660715,
0.00627147825434804,
-0.011526216752827168,
-0.00914115458726883,
0.05994012951850891,
-0.027575500309467316,
-0.06609757989645004,
0.011573728173971176,
-0.01991669461131096,
-0.01789271831512451,
-0.010861060582101345,
0.003264019498601556,
0.03926325589418411,
0.024401752278208733,
0.007406996097415686,
-0.03945330157876015,
-0.019954703748226166,
-0.013578700833022594,
-0.030198119580745697,
-0.057127468287944794,
-0.008062650449573994,
0.009093644097447395,
0.04971572011709213,
-0.017569642513990402,
-0.026492245495319366,
-0.02727142907679081,
0.013654719106853008,
-0.005421028006821871,
-0.014985032379627228,
-0.01529860682785511,
0.006836861837655306,
-0.0037913937121629715,
0.03299177810549736,
-0.08377175033092499,
0.044888582080602646,
-0.0015286728739738464,
-0.03358091786503792,
-0.033333856612443924,
-0.04777726158499718,
0.01290404237806797,
-0.03964334353804588,
-0.015612180344760418,
-0.04838540777564049,
0.03875013440847397,
-0.011659248732030392,
0.02820264920592308,
0.012923046015202999,
0.0010814736597239971,
-0.016828466206789017,
-0.050209835171699524,
-0.03643158823251724,
0.07255910336971283,
-0.01897597312927246,
-0.0031547436956316233,
-0.04078361392021179,
-0.010347939096391201,
-0.01725606806576252,
-0.00982531625777483,
-0.02329949289560318,
-0.04120171442627907,
0.06298084557056427,
-0.06526138633489609,
0.0015726207057014108,
-0.03215558081865311,
-0.028715768828988075,
-0.0223112590610981,
0.00982531625777483,
-0.012248387560248375,
-0.01793072745203972,
-0.010690020397305489,
-0.05039988085627556,
-0.031604450196027756,
0.005259489640593529,
-0.0014514671638607979,
-0.01398729719221592,
0.00651853671297431,
0.02312845177948475,
-0.009977351874113083,
0.010994091629981995,
0.012799517251551151,
-0.0061241937801241875,
-0.03164245933294296,
0.11303864419460297,
0.029133867472410202,
-0.014519422315061092,
0.021570084616541862,
0.04599084332585335,
0.039225246757268906,
-0.002406442305073142,
-0.03806597366929054,
0.039491310715675354,
0.02607414685189724,
0.0023126075975596905,
0.057241491973400116,
-0.022406281903386116,
-0.015868740156292915,
-0.0042308722622692585,
-0.002708138432353735,
0.0003058533475268632,
0.029894046485424042,
0.03937728330492973,
-0.013246122747659683,
0.040745604783296585,
0.011611737310886383,
-0.024458765983581543,
-0.04097365960478783,
0.04203790798783302,
-0.0028055363800376654,
-0.05192023888230324,
0.019251538440585136,
-0.013303136453032494,
0.037476833909749985,
0.028715768828988075,
0.055987197905778885,
-0.01518457941710949,
-0.02651125006377697,
-0.036716654896736145,
-0.0340370237827301,
0.015697700902819633,
0.052186302840709686,
0.030255131423473358,
-0.026321204379200935,
0.04040352627635002,
-0.021646102890372276,
-0.014794987626373768,
-0.07415547966957092,
-0.02417369931936264,
0.030635220929980278,
-0.018244300037622452,
0.06678174436092377,
-0.08673644810914993,
0.029761016368865967,
0.03724877908825874,
0.016951996833086014,
0.022501304745674133,
-0.011678253300487995,
-0.014196346513926983,
-0.03226960822939873,
-0.023831617087125778,
-0.013759243302047253,
-0.03202254697680473,
-0.013768745586276054,
-0.04093565046787262,
0.005154964979737997,
-0.017854709178209305,
0.009511741809546947,
-0.014490916393697262,
-0.03386598452925682,
0.016191817820072174,
-0.00256560486741364,
-0.01667643152177334,
0.05480892211198807,
-0.01227689441293478,
-0.038997191935777664,
-0.04849943146109581,
-0.03778090700507164,
-0.027689527720212936,
0.046941064298152924,
0.051312096416950226,
-0.002648749388754368,
-0.008304957300424576,
0.03468317538499832,
-0.004786753561347723,
-0.0348542146384716,
-0.025561025366187096,
0.012590467929840088,
0.003682117909193039,
0.05093200504779816,
-0.025485007092356682,
-0.0024076299741864204,
0.04108768701553345,
0.035899464040994644,
0.023470532149076462,
-0.031870514154434204,
-0.023755600675940514,
0.010937077924609184,
-0.05039988085627556,
0.05051390826702118,
0.05515100061893463,
0.05188222974538803,
-0.021037958562374115,
-0.006100438069552183,
-0.027784550562500954,
0.026359213516116142,
-0.0038127738516777754,
0.014966027811169624,
-0.022634334862232208,
0.017104031518101692,
-0.09996356815099716,
-0.013189109042286873,
-0.010756535455584526,
0.0009240928338840604,
-0.020049726590514183,
-0.025351976975798607,
-0.02542799338698387,
0.00829070433974266,
0.06993648409843445,
0.0036369822919368744,
0.018994977697730064,
0.011260154657065868,
-0.004074085503816605,
0.012989562004804611,
0.014519422315061092,
0.004316392354667187,
0.00752577418461442,
-0.0008272887789644301,
-0.019147014245390892,
-0.027841562405228615,
0.033181823790073395,
0.023983653634786606,
-0.03133838623762131,
0.030787257477641106,
0.009183915331959724,
0.020600857213139534,
-0.03679267317056656,
0.007915365509688854,
0.004812884610146284,
-0.006195460446178913,
0.04568677023053169,
0.008328713476657867,
0.02221623621881008,
-0.028278665617108345,
0.07335729151964188,
0.043368224054574966,
-0.02499089203774929,
0.020752891898155212,
0.0040503297932446,
-0.003836529329419136,
0.036013491451740265,
-0.05230033025145531,
-0.058267734944820404,
-0.014728471636772156,
-0.020258774980902672,
0.042646054178476334,
0.024097681045532227,
0.013436167500913143,
-0.026473240926861763,
-0.01448141410946846,
-0.012666486203670502,
-0.0014241482131183147,
0.0030929790809750557,
-0.04078361392021179,
0.004083587788045406,
0.05013381689786911,
-0.0043876594863832,
-0.018120771273970604,
-0.014452907256782055,
0.027366451919078827,
0.026967357844114304,
-0.003560964483767748,
0.044888582080602646,
0.009806311689317226,
0.001700900960713625,
-0.025846092030405998,
0.0044161658734083176,
-0.005853379610925913,
-0.0021510696969926357,
0.03926325589418411,
-0.03907321020960808,
0.026853330433368683,
0.009606764651834965,
-0.021570084616541862,
-0.004406663589179516,
0.022577323019504547,
0.031072324141860008,
-0.03358091786503792,
0.03926325589418411,
-0.020866919308900833,
0.013873270712792873,
-0.023831617087125778,
-0.030084092170000076,
0.06510934978723526,
-0.026872335001826286,
0.08719255775213242,
-0.023869626224040985,
-0.006661070045083761,
0.007017404306679964,
0.005083698313683271,
0.0015726207057014108,
0.011991826817393303,
0.0036583624314516783,
-0.035842448472976685,
-0.020752891898155212,
-0.01412983052432537,
-0.03287775069475174,
0.007197946775704622,
-0.034873221069574356,
-0.0008261009934358299,
0.04823337122797966,
0.04116370528936386,
0.025237949565052986,
-0.025770075619220734,
-0.023147456347942352,
-0.019375067204236984,
0.042912114411592484,
0.009454729035496712,
-0.05591117963194847,
-0.005112205166369677,
0.029475947842001915,
-0.006979395169764757,
0.028753777965903282,
-0.01793072745203972,
-0.003703498048707843,
0.03498724848031998,
0.02259632758796215,
0.016980502754449844,
-0.010328934527933598,
0.0056205750443041325,
-0.018139775842428207,
0.003746258094906807,
0.03179449588060379,
0.03713475540280342,
-0.019194524735212326,
0.0185103639960289,
0.028107626363635063,
-0.016923489049077034,
-0.013597705401480198,
0.019194524735212326,
-0.024838855490088463,
0.04386233910918236,
-0.004361527971923351,
0.021075967699289322,
0.028221651911735535,
0.004705984145402908,
-0.00475112022832036,
-0.012818521820008755,
-0.013882772997021675,
-0.0013576325727626681,
0.0003334692446514964,
-0.012837526388466358,
-0.0065327901393175125,
-0.018529368564486504,
0.010975087061524391,
-0.023755600675940514,
0.06845413893461227,
0.02949495241045952,
-0.04108768701553345,
0.010233912616968155,
-0.010328934527933598,
-0.019498595967888832,
0.053592633455991745,
0.0004638280952349305,
0.012371916323900223,
-0.01045246422290802,
-0.0587998628616333,
0.008452242240309715,
0.033238835632801056,
-0.005349761340767145,
0.023926639929413795,
0.004663224332034588,
0.03635556995868683,
0.01216286700218916,
-0.0010986964916810393,
-0.015536162070930004,
-0.019574614241719246,
-0.02569405734539032,
0.020334793254733086,
0.03304878994822502,
0.0055825659073889256,
0.016600413247942924,
0.02470582351088524,
-0.004081211984157562,
0.029437938705086708,
0.045762788504362106,
0.009583009406924248,
-0.030464181676506996,
0.058875877410173416,
0.01818728819489479,
-0.006261975970119238,
-0.030787257477641106,
0.037704888731241226,
0.032250601798295975,
0.012780512683093548,
0.020106740295886993,
0.05872384458780289,
0.01702801324427128,
-0.02291940338909626,
0.05313652753829956,
-0.0017567266477271914,
-0.026492245495319366,
0.004888902418315411,
-0.014852001331746578,
0.00042700691847130656,
0.006775096990168095,
-0.014832996763288975,
-0.01164974644780159,
0.029133867472410202,
-0.05568312481045723,
-0.009098394773900509,
0.03217458352446556,
0.0353863425552845,
0.05161616951227188,
0.02896282821893692,
-0.04367229342460632,
-0.03234562650322914,
0.04971572011709213,
-0.013189109042286873,
-0.048309389501810074,
-0.008699300698935986,
-0.0274804774671793,
-0.010043867863714695,
0.044546499848365784,
-0.032801732420921326,
-0.004591957665979862,
0.019337058067321777,
-0.03418906033039093,
-0.01518457941710949,
-0.018937963992357254,
0.029951060190796852,
-0.028487715870141983,
0.02198818325996399,
0.02519994042813778,
0.002608364913612604,
0.02949495241045952,
-0.0159162525087595,
-0.03850307688117027,
0.004494559485465288,
0.025123922154307365,
-0.02291940338909626,
-0.004591957665979862,
-0.018301313742995262,
-0.00083203986287117,
0.000003331351763335988,
0.011060607619583607,
-0.002548975870013237,
-0.002496713539585471,
-0.01649588905274868,
0.050323862582445145,
-0.024154694750905037,
0.022615330293774605,
0.005696592852473259,
0.0007304847240447998,
0.01866239868104458,
-0.002077427227050066,
0.022672343999147415,
0.01312259305268526,
0.0034944487269967794,
0.011174634099006653,
-0.0005416276981122792,
0.025351976975798607,
-0.017237063497304916,
-0.028506720438599586,
0.02759450487792492,
-0.010195903480052948,
0.0064995321445167065,
0.013208113610744476,
-0.01766466349363327,
0.0859762653708458,
0.02922889031469822,
0.032307617366313934,
-0.06073831766843796,
0.007212200202047825,
0.01115562953054905,
0.012476441450417042,
-0.020752891898155212,
-0.0029171877540647984,
-0.013027571141719818,
0.04819536209106445,
0.01935606263577938,
0.006352247670292854,
0.04796730726957321,
0.05192023888230324,
-0.029799025505781174,
0.0011568977497518063,
-0.010547486133873463,
0.032307617366313934,
0.000498273700941354,
0.03852207958698273,
0.006071931216865778,
0.023603564128279686,
-0.060396239161491394,
-0.020163754001259804,
0.03232662007212639,
0.00665631890296936,
-0.01924203522503376,
-0.04184786602854729,
-0.033067796379327774,
-0.024838855490088463,
0.008015139028429985,
-0.0304831862449646,
0.03232662007212639,
-0.009036630392074585,
0.04637093096971512,
0.011640244163572788,
-0.006585052236914635,
-0.0002748226106632501,
-0.02020176313817501,
0.0028744277078658342,
-0.01221988070756197,
-0.013455172069370747,
0.009226675145328045,
0.03534833341836929,
0.007901112549006939,
-0.03990940749645233,
-0.06499531865119934,
0.0027889073826372623,
-0.03597548231482506,
0.00896536372601986,
0.007668307516723871,
-0.024895869195461273,
0.02003072202205658,
-0.036507606506347656,
-0.018700407817959785,
-0.019688641652464867,
-0.04165782034397125,
0.02029678411781788,
0.01202983595430851,
0.02841169759631157,
0.012428930029273033,
-0.03810398280620575,
-0.004309265874326229,
-0.007140933535993099,
-0.03705873712897301,
0.008808576501905918,
0.02841169759631157,
0.0008938044775277376,
-0.023774605244398117,
0.0035419599153101444,
-0.040517549961805344,
-0.0018933212850242853,
-0.01828230917453766,
-0.06047225371003151,
-0.017702672630548477,
0.019612623378634453,
-0.007711067795753479,
0.028240656480193138,
-0.030141105875372887,
0.021151985973119736,
0.0756758376955986,
-0.03027413599193096,
-0.040745604783296585,
-0.011792279779911041,
-0.03608950600028038,
-0.02808862179517746,
-0.006067180074751377,
-0.002278161933645606,
0.0015191705897450447,
-0.01886194571852684,
0.008076904341578484,
-0.015602678060531616,
0.007345231715589762,
-0.01246693916618824,
-0.002708138432353735,
-0.016999507322907448,
0.03903520107269287,
-0.051578160375356674,
0.028050612658262253,
0.02020176313817501,
-0.007178942207247019,
0.07221702486276627,
-0.011383683420717716,
-0.04675102233886719,
0.005976908840239048,
0.03635556995868683,
0.06716183573007584,
-0.011298163793981075,
-0.015574171207845211,
0.024420756846666336,
-0.0009597262251190841,
0.0029076854698359966,
-0.035462360829114914,
0.03027413599193096,
0.000694257381837815,
0.009031878784298897,
-0.011792279779911041,
-0.039871398359537125,
-0.04671301320195198,
-0.023489536717534065,
0.03498724848031998,
-0.04424243047833443,
0.03251666575670242,
-0.021094972267746925,
0.015384126454591751,
-0.005164467263966799,
0.02972300723195076,
0.03141440451145172,
-0.04492659121751785,
0.01722756028175354,
-0.013873270712792873,
-0.003152368124574423,
-0.01924203522503376,
0.02960897982120514,
-0.016771454364061356,
-0.04317817836999893,
-0.024591797962784767,
0.020543843507766724,
-0.002988454420119524,
-0.011184136383235455,
0.0468270368874073,
-0.044128403067588806,
-0.023774605244398117,
0.019498595967888832,
0.02907685376703739,
-0.025789080187678337,
0.02601713314652443,
0.01929904893040657,
0.013607207685709,
-0.0035704667679965496,
0.01883343979716301,
0.028506720438599586,
-0.0155171575024724,
-0.02210221067070961,
0.027556495741009712,
0.0023601187858730555,
-0.01883343979716301,
0.04971572011709213,
-0.008609029464423656,
-0.0446225181221962,
-0.014329377561807632,
-0.0045111882500350475,
-0.016286838799715042,
-0.003646484576165676,
-0.00210949731990695,
-0.03614652156829834,
0.004323519300669432,
0.028449706733226776,
0.004449423868209124,
0.09547850489616394,
-0.027784550562500954,
-0.01959361881017685,
0.0059008910320699215,
-0.028658755123615265,
0.030882280319929123,
0.012105854228138924,
-0.005278494209051132,
0.01442440040409565,
0.03821801021695137,
0.016809461638331413,
0.04507862776517868,
0.02634020894765854,
-0.012143862433731556,
-0.00604342482984066,
-0.03261168673634529,
-0.0495256744325161,
-0.029000837355852127,
0.0064662741497159,
0.002410005545243621,
-0.004682228900492191,
0.03468317538499832,
-0.006865368224680424,
0.004530192818492651,
-0.011792279779911041,
-0.03320082649588585,
0.03316281735897064,
-0.0015334240160882473,
0.005017182789742947,
-0.0034041774924844503,
0.011450199410319328,
-0.0014384015230461955,
0.007801339030265808,
-0.03740081563591957,
-0.05781162902712822,
0.031224360689520836,
-0.014890010468661785,
-0.026701293885707855,
-0.008865590207278728,
0.038351040333509445,
0.020600857213139534,
0.01699000597000122,
-0.038122985512018204,
-0.02023977041244507,
0.0003328753518871963,
-0.0018576879519969225,
-0.00027378328377380967,
-0.020448820665478706,
-0.051578160375356674,
0.02645423635840416,
-0.008314459584653378,
-0.036488600075244904,
0.012923046015202999,
0.035291317850351334,
0.015336615033447742,
0.02960897982120514,
-0.022330263629555702,
-0.04827138036489487,
-0.00419761473312974,
-0.020771896466612816,
0.045268669724464417,
-0.02052483893930912,
0.029152872040867805,
-0.0014063315466046333,
0.029437938705086708,
-0.018909458070993423,
-0.014405395835638046,
-0.038902170956134796,
-0.010908571071922779,
0.021247008815407753,
-0.0046062106266617775,
0.04116370528936386,
0.032307617366313934,
-0.06016818434000015,
-0.04344424232840538,
-0.023603564128279686,
0.013341144658625126,
0.02575107105076313,
0.029913051053881645,
-0.0018244300736114383,
0.010347939096391201,
0.006228718440979719,
-0.035956475883722305,
0.046408940106630325,
0.027252424508333206,
0.010823051445186138,
0.03141440451145172,
0.03109132871031761,
-0.01894746720790863,
0.03895918279886246,
-0.006670572329312563,
0.016723942011594772,
-0.015460144728422165,
-0.03223159909248352,
-0.005183471832424402,
-0.0018778801895678043,
-0.025161931291222572,
0.0037225026171654463,
-0.014006301760673523,
-0.058875877410173416,
0.059788092970848083,
-0.021760130301117897,
0.024572793394327164,
-0.019051991403102875
] |
Content Delivery Networks carry the majority of Internet traffic, and the
increasing demand for video content as a major IP traffic across the Internet
highlights the importance of caching and prefetching optimization algorithms.
Prefetching aims to make data available in the cache before the requester
places its request to reduce access time and improve the Quality of Experience
on the user side. Prefetching is well investigated in operating systems,
compiler instructions, in-memory cache, local storage systems, high-speed
networks, and cloud systems. Traditional prefetching techniques are well
adapted to a particular access pattern, but fail to adapt to sudden variations
or randomization in workloads. This paper explores the use of reinforcement
learning to tackle the changes in user access patterns and automatically adapt
over time. To this end, we propose, DeePref, a Deep Reinforcement Learning
agent for online video content prefetching in Content Delivery Networks.
DeePref is a prefetcher implemented on edge networks and is agnostic to
hardware design, operating systems, and applications. Our results show that
DeePref DRQN, using a real-world dataset, achieves a 17% increase in
prefetching accuracy and a 28% increase in prefetching coverage on average
compared to baseline approaches that use video content popularity as a building
block to statically or dynamically make prefetching decisions. We also study
the possibility of transfer learning of statistical models from one edge
network into another, where unseen user requests from unknown distribution are
observed. In terms of transfer learning, the increase in prefetching accuracy
and prefetching coverage are [$30%$, $10%$], respectively. Our source code will
be available on Github. | [
-0.02658316306769848,
-0.005747104063630104,
-0.03116646781563759,
-0.01357017457485199,
-0.016185354441404343,
-0.007418661843985319,
-0.016895316541194916,
0.0175962932407856,
-0.10856139659881592,
0.013219687156379223,
0.02823674865067005,
-0.04435919225215912,
-0.002026539295911789,
-0.07448318600654602,
-0.021496593952178955,
0.021550515666604042,
0.011467247270047665,
0.02099332958459854,
-0.0042799971997737885,
-0.04565330222249031,
0.013875728473067284,
-0.034078214317560196,
-0.017326686531305313,
-0.021083198487758636,
-0.0065064942464232445,
0.05489180609583855,
0.002711788285523653,
-0.0007436635787598789,
-0.081025630235672,
0.03423997759819031,
0.043244823813438416,
0.03788864612579346,
-0.0057021696120500565,
-0.019070139154791832,
-0.026601137593388557,
0.011440286412835121,
0.039254650473594666,
0.027086429297924042,
0.0307710450142622,
0.015268693678081036,
0.003614968853071332,
0.023815207183361053,
-0.06387867778539658,
-0.08174457401037216,
0.014037491753697395,
-0.004082286264747381,
0.02809295803308487,
-0.030249806120991707,
-0.012941094115376472,
-0.04773825779557228,
0.010757284238934517,
-0.042130451649427414,
0.013821806758642197,
-0.012410868890583515,
-0.0996464192867279,
0.01444190088659525,
0.06096693128347397,
-0.02426455169916153,
0.0008554377709515393,
0.0046911463141441345,
0.0016603244002908468,
0.010963981971144676,
-0.03882328048348427,
0.016679631546139717,
0.01569107547402382,
-0.048061784356832504,
-0.00955304317176342,
0.0008897001971490681,
0.018378151580691338,
-0.008164572529494762,
-0.09569220244884491,
-0.015430456958711147,
-0.02424657717347145,
0.015996629372239113,
0.010946008376777172,
0.03654061630368233,
-0.008083689957857132,
-0.007400688249617815,
0.01326462160795927,
-0.005001193378120661,
-0.029153408482670784,
0.04928399994969368,
-0.024893632158637047,
0.015987643972039223,
0.11273130774497986,
-0.02007666975259781,
0.03319749981164932,
-0.07455507665872574,
0.057012706995010376,
-0.02212567627429962,
-0.01795576699078083,
0.022053780034184456,
0.01910608634352684,
-0.011862669140100479,
-0.06053556129336357,
0.04446703568100929,
-0.023401811718940735,
-0.022107701748609543,
-0.05449638515710831,
0.037529170513153076,
-0.038895174860954285,
-0.02503742277622223,
-0.0015614688163623214,
0.024336446076631546,
-0.01817145198583603,
-0.058917924761772156,
-0.021820122376084328,
-0.007077160757035017,
-0.0013985817786306143,
0.07592108100652695,
0.006250368431210518,
-0.04949968308210373,
0.015331601724028587,
0.05255521833896637,
-0.027769431471824646,
0.02996222674846649,
-0.018387136980891228,
-0.0714995414018631,
0.01479238923639059,
-0.028218774124979973,
0.05352580174803734,
0.02690669149160385,
0.026421399787068367,
0.03096875734627247,
-0.0031454048585146666,
0.0671139508485794,
-0.02404886670410633,
0.0012637786567211151,
0.0378527007997036,
-0.04504219442605972,
-0.02579231932759285,
0.013004002161324024,
-0.0761367678642273,
-0.026673031970858574,
0.036954011768102646,
0.06024798005819321,
0.0020534999202936888,
0.006560415495187044,
0.023617496713995934,
-0.027356034144759178,
0.024588078260421753,
-0.03537232428789139,
0.01606852561235428,
0.005221372004598379,
0.06269241124391556,
0.05755192041397095,
0.016293196007609367,
0.0462644100189209,
-0.04087228700518608,
0.015367548912763596,
-0.019339745864272118,
0.042921293526887894,
-0.009418240748345852,
0.03184946998953819,
0.013588148169219494,
0.029692620038986206,
0.02579231932759285,
-0.021640384569764137,
-0.020166538655757904,
0.0021444919984787703,
0.0016131432494148612,
-0.014639612287282944,
-0.004695639945566654,
0.028614196926355362,
0.013938636519014835,
0.029279224574565887,
0.023204099386930466,
-0.03301776200532913,
-0.09849610179662704,
0.024785788729786873,
-0.013066910207271576,
-0.012887172400951385,
-0.01049666479229927,
0.03535434976220131,
-0.010083269327878952,
-0.010029347613453865,
0.07139170169830322,
-0.05021863430738449,
-0.036378853023052216,
-0.008222986944019794,
-0.04604872688651085,
0.04676767438650131,
-0.00963392574340105,
0.010110229253768921,
0.02733806148171425,
0.010155163705348969,
0.04586898908019066,
0.007647826801985502,
0.040009547024965286,
-0.04511409252882004,
-0.01718289777636528,
0.03817622736096382,
0.04928399994969368,
0.03494095429778099,
0.019537456333637238,
-0.06168588250875473,
0.0071535492315888405,
-0.0003302675031591207,
0.015367548912763596,
0.03709780424833298,
-0.06546036899089813,
-0.08160078525543213,
0.024695921689271927,
-0.029279224574565887,
0.014918205328285694,
0.0002915116201620549,
0.04770230874419212,
-0.0012514217523857951,
0.011521168053150177,
-0.019717194139957428,
-0.0005105665768496692,
-0.013444358482956886,
-0.055682651698589325,
0.02442631497979164,
-0.014459875412285328,
-0.01602359116077423,
-0.022107701748609543,
-0.002720775082707405,
-0.0189263503998518,
-0.018252333626151085,
-0.024713894352316856,
0.00851056631654501,
-0.0006757003720849752,
-0.015358561649918556,
-0.05618591606616974,
-0.043244823813438416,
0.02180214785039425,
0.01757831871509552,
0.013633082620799541,
0.014217229560017586,
0.007872498594224453,
0.0019400407327339053,
-0.004713613539934158,
0.015124903060495853,
0.005765077657997608,
-0.039434388279914856,
-0.021909991279244423,
0.009202555753290653,
-0.02138875238597393,
-0.0005818998906761408,
-0.04831341654062271,
-0.0100203612819314,
-0.02140672691166401,
-0.019249876961112022,
0.01556526031345129,
0.02692466415464878,
-0.014280137605965137,
0.04547356441617012,
0.0002624447224661708,
-0.056653231382369995,
-0.027212245389819145,
-0.0194835364818573,
0.020202485844492912,
0.01262655295431614,
-0.05079379305243492,
0.019537456333637238,
0.008726251311600208,
-0.015942709520459175,
-0.008115144446492195,
-0.0659995824098587,
0.014567717909812927,
-0.0011851435992866755,
0.021316858008503914,
0.017865899950265884,
-0.02309625782072544,
-0.0013592642499133945,
0.034275926649570465,
0.019932879135012627,
-0.02981843799352646,
0.012267078272998333,
-0.003934002481400967,
-0.03770890831947327,
-0.015744997188448906,
-0.018459033221006393,
-0.02996222674846649,
-0.029854385182261467,
0.008676824159920216,
-0.05525128170847893,
0.04482651129364967,
0.03864354267716408,
-0.012635540217161179,
0.0022635681089013815,
-0.020903460681438446,
-0.025846241042017937,
-0.08095373213291168,
-0.03053738735616207,
-0.007665800862014294,
-0.003444218309596181,
-0.037744857370853424,
0.017039107158780098,
-0.02350965328514576,
0.010209085419774055,
-0.024228602647781372,
0.02156849019229412,
0.04874478653073311,
0.03954223170876503,
-0.03037562221288681,
0.0026713472325354815,
0.052627116441726685,
-0.004511408973485231,
-0.020310327410697937,
-0.00803426280617714,
0.02938706800341606,
0.03163378685712814,
-0.0037228111177682877,
-0.03533637523651123,
-0.06204535439610481,
0.03573179990053177,
0.01756034605205059,
-0.042310185730457306,
0.0351925864815712,
-0.009930492378771305,
-0.01740756817162037,
-0.044610828161239624,
-0.04486246034502983,
0.02142469957470894,
0.003650916274636984,
0.027949167415499687,
-0.04435919225215912,
-0.04475461691617966,
0.029746541753411293,
-0.0007852278067730367,
-0.06912700831890106,
0.04177097603678703,
0.03603735193610191,
0.0010660674888640642,
0.03438376635313034,
0.03914681077003479,
-0.07743088155984879,
0.032406654208898544,
-0.0650649443268776,
-0.04302913695573807,
-0.040512815117836,
-0.00720747048035264,
0.06963027268648148,
0.027158323675394058,
-0.09777715057134628,
0.009588991291821003,
0.04453893005847931,
-0.01336347684264183,
-0.019034191966056824,
-0.018369164317846298,
0.004082286264747381,
-0.012051393277943134,
0.03154391795396805,
-0.0451500378549099,
-0.05945713818073273,
0.004581057466566563,
-0.008667836897075176,
0.01910608634352684,
0.0011272906558588147,
0.008559994399547577,
-0.004960752557963133,
0.006798567716032267,
0.053417958319187164,
0.004619251471012831,
-0.04777420312166214,
0.000722319760825485,
-0.028182826936244965,
0.0019681246485561132,
0.02232338674366474,
-0.014603665098547935,
-0.05715649947524071,
0.02428252436220646,
-0.049355894327163696,
0.02480376325547695,
-0.045940883457660675,
-0.04673172906041145,
0.044790562242269516,
0.020777644589543343,
-0.009606964886188507,
0.02843445912003517,
-0.03546219319105148,
0.009750754572451115,
-0.01818043924868107,
-0.01755135878920555,
-0.0358755886554718,
-0.004933792166411877,
-0.05658133700489998,
0.05582644045352936,
0.01756933145225048,
0.038284070789813995,
-0.025540687143802643,
0.015969669446349144,
0.029764516279101372,
0.06955838203430176,
0.024300498887896538,
-0.0033700764179229736,
0.015502352267503738,
0.01395661011338234,
0.017452502623200417,
-0.029746541753411293,
-0.06003229692578316,
-0.031436074525117874,
0.02485768496990204,
-0.01795576699078083,
0.016769500449299812,
-0.0029521870892494917,
0.021892016753554344,
-0.05708460137248039,
-0.06635905057191849,
0.04414350911974907,
0.007683774456381798,
0.022251492366194725,
-0.003441971493884921,
0.02980046346783638,
0.026780875399708748,
-0.04550951346755028,
-0.02102927677333355,
0.02539689652621746,
0.01510692946612835,
-0.022449202835559845,
-0.03623506426811218,
-0.003801446408033371,
0.04601277783513069,
0.05557480826973915,
-0.06093098223209381,
0.018998244777321815,
-0.03059130720794201,
-0.010343887843191624,
-0.05172842741012573,
-0.005616794340312481,
0.004385592881590128,
0.001071122707799077,
-0.02712237648665905,
0.027445903047919273,
-0.04475461691617966,
-0.012087341398000717,
0.014819350093603134,
-0.003954223357141018,
0.01817145198583603,
0.02140672691166401,
0.04680362343788147,
-0.03436579555273056,
-0.006241381634026766,
0.008447658270597458,
0.014765428379178047,
0.006290809717029333,
-0.043640244752168655,
-0.0035565542057156563,
0.013399424031376839,
-0.06607147306203842,
0.009310398250818253,
-0.017713122069835663,
-0.0030038615223020315,
-0.0351925864815712,
-0.012842237949371338,
-0.0642022043466568,
0.0017782771028578281,
-0.02099332958459854,
-0.07351260632276535,
0.005630274303257465,
-0.06675447523593903,
0.011440286412835121,
0.021047251299023628,
-0.012464789673686028,
-0.014819350093603134,
-0.036181140691041946,
0.010972969233989716,
-0.013875728473067284,
0.01851295307278633,
0.006650284398347139,
0.03497689962387085,
-0.039038967341184616,
-0.027158323675394058,
0.012347960844635963,
-0.04335266351699829,
-0.08656153827905655,
-0.001423295703716576,
-0.008825107477605343,
-0.015448430553078651,
-0.01646394655108452,
-0.00008684967906447127,
0.0321011021733284,
0.0369899608194828,
0.017623253166675568,
0.009696833789348602,
-0.09360724687576294,
-0.05039837211370468,
-0.028740013018250465,
0.039434388279914856,
0.01644597388803959,
0.07250607013702393,
-0.03362886980175972,
0.01642799936234951,
0.016922278329730034,
0.013704977929592133,
0.03190338984131813,
0.03359292447566986,
-0.03292789310216904,
-0.01811753213405609,
-0.03262234106659889,
-0.021298883482813835,
-0.017919819802045822,
-0.001977111678570509,
-0.006394158583134413,
0.009858597069978714,
-0.024929579347372055,
0.04601277783513069,
0.04238208383321762,
0.0064076390117406845,
0.01298602856695652,
0.05011079087853432,
0.024785788729786873,
-0.017479464411735535,
0.021119145676493645,
0.021676331758499146,
0.01836017705500126,
-0.07771845906972885,
0.008425191044807434,
-0.024192655459046364,
0.0469474121928215,
-0.028560275211930275,
-0.02696061134338379,
0.005243839230388403,
0.020526012405753136,
-0.01831524260342121,
0.003091483609750867,
0.017281752079725266,
0.04105202481150627,
0.019914906471967697,
0.033305343240499496,
-0.02041817083954811,
0.007265884894877672,
-0.06592768430709839,
0.045940883457660675,
0.037960540503263474,
-0.03770890831947327,
0.044970300048589706,
-0.02117306739091873,
-0.017515411600470543,
0.053238220512866974,
0.048421259969472885,
-0.020723724737763405,
0.0053786421194672585,
-0.011485220864415169,
0.007742189336568117,
-0.019627325236797333,
-0.014819350093603134,
-0.01987895742058754,
-0.019447587430477142,
0.03979386389255524,
0.008047742769122124,
0.01623028889298439,
-0.04223829135298729,
-0.017686162143945694,
0.039434388279914856,
-0.03706185519695282,
-0.008914975449442863,
0.01108979806303978,
0.006964824628084898,
-0.0013671277556568384,
0.015771958976984024,
-0.011071824468672276,
0.0010172014590352774,
-0.0005038264207541943,
-0.03215502202510834,
-0.011593063361942768,
-0.009274451062083244,
-0.05679702386260033,
0.007122095208615065,
-0.01563715562224388,
0.0009155374718829989,
-0.02158646285533905,
-0.00018717967031989247,
-0.07099627703428268,
0.00993947871029377,
0.019177982583642006,
0.010847153142094612,
0.029512884095311165,
-0.01606852561235428,
-0.0321011021733284,
-0.026457346975803375,
-0.0160505510866642,
0.0409441813826561,
0.0002396966883679852,
0.026475321501493454,
-0.01946556195616722,
0.013731938786804676,
-0.00109864491969347,
-0.014307098463177681,
0.0010458470787853003,
0.04180692136287689,
0.01357017457485199,
0.03979386389255524,
-0.002509583719074726,
-0.001077862805686891,
-0.016185354441404343,
-0.008326335810124874,
-0.054712068289518356,
-0.017632240429520607,
0.018962297588586807,
-0.020759671926498413,
0.011988485231995583,
-0.046480096876621246,
-0.012347960844635963,
0.0015569753013551235,
0.005648248363286257,
0.0011682931799441576,
-0.03738538175821304,
0.005630274303257465,
0.04816962778568268,
0.0019422874320298433,
0.005935828201472759,
0.01966327242553234,
-0.0146126514300704,
0.04522193223237991,
0.024911604821681976,
-0.01585284061729908,
0.014756442047655582,
-0.003432984696701169,
0.024192655459046364,
0.05611402168869972,
-0.008649863302707672,
0.021352805197238922,
-0.009606964886188507,
0.03134620562195778,
0.0068390085361897945,
-0.016356104984879494,
0.0029993681237101555,
0.027643613517284393,
-0.02595408260822296,
0.055682651698589325,
0.004080039449036121,
0.004610264673829079,
0.045545462518930435,
0.0020658569410443306,
-0.05765976384282112,
-0.015196798369288445,
-0.053238220512866974,
-0.020490065217018127,
-0.0017883873078972101,
0.006695218849927187,
-0.04090823605656624,
-0.021927963942289352,
0.002592712175101042,
-0.020184511318802834,
0.027967141941189766,
0.033359263092279434,
-0.026996560394763947,
-0.0152776800096035,
0.04931994527578354,
0.021640384569764137,
0.10798624157905579,
0.006178473588079214,
0.019573405385017395,
0.011341431178152561,
-0.0010211331536993384,
0.017488449811935425,
0.016311170533299446,
-0.006232394836843014,
0.00841620471328497,
-0.007571438793092966,
0.029369093477725983,
-0.03947033733129501,
-0.04993105307221413,
0.05259116739034653,
-0.023815207183361053,
0.027266165241599083,
0.03156188875436783,
0.015124903060495853,
-0.009198062121868134,
-0.002047883113846183,
0.01088310033082962,
0.02904556691646576,
-0.041735026985406876,
0.04241802915930748,
0.04417945817112923,
-0.022431230172514915,
0.04525788128376007,
-0.021532543003559113,
-0.020741697400808334,
-0.02084954082965851,
0.028757985681295395,
0.04130365699529648,
-0.008609422482550144,
0.028811907395720482,
0.05399312078952789,
0.0033723232336342335,
-0.020148564130067825,
-0.044035665690898895,
-0.019195955246686935,
0.007710735313594341,
-0.02309625782072544,
-0.0192678514868021,
-0.017308713868260384,
-0.0026039457879960537,
0.026025976985692978,
-0.04532977566123009,
0.04263371601700783,
-0.029117461293935776,
-0.024336446076631546,
0.06459762901067734,
0.03641480207443237,
0.05737218260765076,
0.004983219783753157,
0.008106157183647156,
0.00483044283464551,
0.0584506057202816,
-0.0028331109788268805,
-0.013525240123271942,
-0.009795689024031162,
-0.014217229560017586,
-0.0064660534262657166,
0.03145404905080795,
0.026313558220863342,
-0.004026118200272322,
0.01966327242553234,
-0.033718738704919815,
-0.0026533736381679773,
0.01214126218110323,
0.03684616833925247,
-0.03900301828980446,
0.0478101521730423,
0.035228531807661057,
0.0557904951274395,
0.012689461931586266,
-0.047882046550512314,
0.035605981945991516,
-0.0092474902048707,
0.010703363455832005,
0.019825037568807602,
0.04112391918897629,
-0.021892016753554344,
-0.02710440196096897,
-0.008946429938077927,
0.011305483058094978,
0.013435372151434422,
-0.022089729085564613,
-0.006690725218504667,
-0.018674718216061592,
0.001988345058634877,
-0.013929649256169796,
-0.007508530281484127,
-0.02523513324558735,
0.025540687143802643,
0.01584385335445404,
0.03513866290450096,
0.01022705901414156,
0.01677848771214485,
0.029279224574565887,
-0.027194270864129066,
0.04353240132331848,
0.013156779110431671,
-0.005185424350202084,
-0.019609352573752403,
0.0014041985850781202,
0.034653373062610626,
0.023455733433365822,
-0.010155163705348969,
0.027985114604234695,
-0.020490065217018127,
0.016733553260564804,
-0.03636087849736214,
-0.08728048950433731,
0.020669803023338318,
0.04371213912963867,
-0.010981956496834755,
0.060104191303253174,
-0.021622411906719208,
0.02122698910534382,
0.05679702386260033,
-0.007625360041856766,
-0.013138804584741592,
0.04511409252882004,
-0.048960473388433456,
-0.06466951966285706,
0.0684080570936203,
0.0321011021733284,
-0.006695218849927187,
0.04220234602689743,
-0.022251492366194725,
0.011233588680624962,
-0.03458147868514061,
-0.005086568649858236,
0.026673031970858574,
0.02138875238597393,
0.0013749912614002824,
-0.017263779416680336,
0.006097591947764158,
-0.04834936559200287,
0.011736853048205376,
0.0035520605742931366,
0.0016951485304161906,
-0.018998244777321815,
0.03767296299338341,
0.050937581807374954,
0.0026466334238648415,
-0.029530856758356094,
-0.007176016457378864,
-0.03434782102704048,
0.03163378685712814,
-0.012473776936531067,
-0.018441058695316315,
0.02368939109146595,
-0.004059819038957357,
-0.03569585084915161,
0.009768728166818619,
0.02119104191660881,
-0.07250607013702393,
0.05241142958402634,
-0.025307027623057365,
-0.00687046255916357,
0.0447186678647995,
-0.03206515312194824,
-0.0030555359553545713,
0.01950150914490223,
-0.03416808322072029,
0.0017580565763637424,
0.022269465029239655,
0.014486835338175297,
0.047486625611782074,
-0.018584849312901497,
-0.016176367178559303,
-0.0009234009776264429,
-0.06355515122413635,
0.001244681654497981,
0.05460422486066818,
-0.04453893005847931,
-0.03589356318116188,
-0.003064522985368967,
0.01106283813714981,
-0.01703011989593506,
-0.04036902263760567,
-0.04683956876397133,
-0.025864213705062866,
0.03359292447566986,
-0.0000359299301635474,
0.011673945002257824,
-0.023419784381985664,
0.03645074740052223,
0.05277090519666672,
-0.011727866716682911,
-0.024965526536107063,
-0.030249806120991707,
-0.0017704134806990623,
-0.03720564395189285,
0.01605953834950924,
-0.019052166491746902,
0.008097170852124691,
-0.002725268481299281,
0.015044021420180798,
-0.029692620038986206,
-0.020723724737763405,
-0.03709780424833298,
0.01603257656097412,
-0.00401713140308857,
0.01022705901414156,
0.0025635049678385258,
0.031094573438167572,
0.041159868240356445,
0.035605981945991516,
0.04795394092798233,
-0.004133960697799921,
-0.039650075137615204,
-0.02482173778116703,
-0.026834795251488686,
0.042094502598047256,
-0.022017832845449448,
-0.012590605765581131,
0.040584709495306015,
0.005401109345257282,
-0.002783683128654957,
0.004646212328225374,
0.001991715282201767,
0.010748296976089478,
0.000904303858987987,
-0.011134732514619827,
0.0006082988111302257,
-0.04435919225215912,
0.013489292934536934,
0.01659874990582466,
0.012824264355003834,
-0.0027746963314712048,
-0.03156188875436783,
-0.01586182601749897,
0.024947553873062134,
0.01679646223783493,
0.020220458507537842,
-0.0332154743373394,
0.016275223344564438,
-0.008914975449442863,
0.04665983468294144,
0.01832422986626625,
0.06923485547304153,
-0.04065660387277603,
-0.017236817628145218,
-0.01106283813714981,
0.011916590854525566,
0.008240960538387299,
-0.01928582414984703,
0.041339606046676636,
-0.02045411802828312,
-0.006326756905764341,
0.02981843799352646,
-0.021352805197238922,
-0.020687775686383247,
0.005333707667887211,
-0.021640384569764137,
0.025522712618112564,
0.007068173959851265,
0.013201713562011719,
-0.0015693323221057653,
-0.04644414782524109,
0.05352580174803734,
0.0035632941871881485,
0.012509724125266075,
-0.014783401973545551,
0.041159868240356445,
-0.007081653922796249,
0.004713613539934158,
0.01664368435740471,
0.018566874787211418,
-0.03150796890258789,
0.009364319033920765,
0.003060029586777091,
0.01889040321111679,
-0.05561075732111931,
0.024713894352316856,
-0.046516042202711105,
0.027589693665504456,
0.011620024219155312,
-0.01735364831984043,
0.021047251299023628,
-0.022107701748609543,
0.015196798369288445,
0.010316927917301655,
0.002165835816413164,
-0.020328301936388016,
-0.015035035088658333,
-0.02099332958459854,
0.029135435819625854,
0.00483044283464551,
-0.01566411554813385,
-0.0050146738067269325,
0.02444428764283657,
-0.05287874862551689,
-0.014316084794700146,
-0.02232338674366474,
0.020921435207128525,
0.01004732120782137,
0.0030083549208939075,
-0.0335569754242897,
0.02212567627429962,
0.017272764816880226,
-0.02807498350739479,
0.023545600473880768,
0.02938706800341606,
0.004199115559458733,
0.026061926037073135,
-0.028039036318659782,
-0.02503742277622223,
-0.01136839110404253,
-0.013704977929592133,
-0.03452755883336067,
-0.03440174087882042,
-0.019249876961112022,
0.007553464733064175,
0.019519483670592308,
0.030249806120991707,
0.00758941238746047,
-0.0022118936758488417,
-0.06190156564116478,
-0.017326686531305313,
0.015511338599026203,
0.020364249125123024,
-0.042310185730457306,
-0.005086568649858236,
-0.045006249099969864,
0.030483465641736984,
-0.0192678514868021,
-0.048457205295562744,
0.011071824468672276,
-0.014981113374233246,
-0.00030471108038909733,
0.041339606046676636,
-0.0059717753902077675,
-0.054316647350788116,
-0.005792038049548864,
-0.005670715589076281,
0.03386252745985985,
0.00934634543955326,
0.009526083245873451,
0.003468932118266821,
0.03380860760807991,
-0.031238362193107605,
0.03864354267716408,
-0.007930913008749485,
-0.014765428379178047,
-0.025648528710007668,
-0.025864213705062866,
0.00801628828048706,
0.0299981739372015,
0.002191673032939434,
0.010164150968194008,
0.011584076099097729,
-0.0005307870451360941,
-0.02773348242044449,
0.0020490065217018127,
0.038499753922224045,
-0.04216639697551727,
0.002363546984270215,
-0.009858597069978714,
0.05773165822029114,
0.008065716363489628,
0.027014533057808876,
0.055862389504909515,
-0.002743242308497429,
-0.007724215276539326,
0.057228393852710724,
-0.028021063655614853,
-0.011008916422724724,
0.014639612287282944,
0.009202555753290653,
0.023779259994626045,
0.02009464241564274,
-0.05050621181726456,
0.00878466572612524,
-0.025504739955067635,
-0.009813662618398666,
0.0035206065513193607,
0.01242884248495102,
0.08116941899061203,
-0.022287439554929733
] |
Industrial systems such as recommender systems and online advertising, have
been widely equipped with multi-stage architectures, which are divided into
several cascaded modules, including matching, pre-ranking, ranking and
re-ranking. As a critical bridge between matching and ranking, existing
pre-ranking approaches mainly endure sample selection bias (SSB) problem owing
to ignoring the entire-chain data dependence, resulting in sub-optimal
performances. In this paper, we rethink pre-ranking system from the perspective
of the entire sample space, and propose Entire-chain Cross-domain Models (ECM),
which leverage samples from the whole cascaded stages to effectively alleviate
SSB problem. Besides, we design a fine-grained neural structure named ECMM to
further improve the pre-ranking accuracy. Specifically, we propose a
cross-domain multi-tower neural network to comprehensively predict for each
stage result, and introduce the sub-networking routing strategy with $L0$
regularization to reduce computational costs. Evaluations on real-world
large-scale traffic logs demonstrate that our pre-ranking models outperform
SOTA methods while time consumption is maintained within an acceptable level,
which achieves better trade-off between efficiency and effectiveness. | [
-0.013609056361019611,
-0.029689082875847816,
-0.039011381566524506,
-0.04571295157074928,
0.0247658621519804,
0.0050261784344911575,
-0.056345611810684204,
0.05016818642616272,
-0.09539443254470825,
-0.028378719463944435,
0.013805611059069633,
-0.002988095860928297,
0.001761970343068242,
-0.06413291394710541,
0.028715670108795166,
-0.006940244231373072,
0.009734125807881355,
-0.013805611059069633,
0.08408787101507187,
-0.03631577640771866,
-0.01029570959508419,
0.0005065957084298134,
-0.003615198191255331,
0.039310891181230545,
-0.001695282175205648,
0.03253444284200668,
0.024166839197278023,
-0.02879054844379425,
-0.06196145340800285,
0.018906667828559875,
0.02315598726272583,
0.02880926802754402,
-0.0015022376319393516,
-0.015003656968474388,
-0.06679107993841171,
-0.004941940773278475,
0.07967007160186768,
0.06042645871639252,
0.0042633600533008575,
0.01626722142100334,
-0.00647693732753396,
0.0196367260068655,
-0.02008599415421486,
-0.015396766364574432,
-0.009224019944667816,
0.006490977015346289,
-0.003966188058257103,
0.005442686844617128,
0.015817955136299133,
-0.004937260877341032,
0.021321479231119156,
-0.036615289747714996,
0.02895902469754219,
-0.019262338057160378,
-0.05612098053097725,
0.05690719559788704,
0.03376992791891098,
0.05305098369717598,
0.057356465607881546,
0.06570535153150558,
0.026413176208734512,
0.04571295157074928,
-0.05117903649806976,
-0.03270291909575462,
-0.012570125982165337,
0.024222997948527336,
0.00595279224216938,
-0.013234667479991913,
0.055222444236278534,
-0.043017346411943436,
-0.10647635906934738,
-0.002587967086583376,
0.020366786047816277,
0.009242739528417587,
-0.043841004371643066,
-0.027236832305788994,
0.013225307688117027,
0.022613123059272766,
0.021452516317367554,
0.03798180818557739,
0.057169269770383835,
0.039161138236522675,
0.035323645919561386,
0.034668464213609695,
0.041594669222831726,
-0.04852087423205376,
0.0005042558186687529,
-0.0688127800822258,
0.013103630393743515,
-0.004010647069662809,
-0.004923221189528704,
0.00041270587826147676,
-0.02811664715409279,
-0.027555063366889954,
-0.0395355261862278,
0.011484396643936634,
0.017315512523055077,
0.016220422461628914,
-0.05327561870217323,
0.019842641428112984,
-0.004733686801046133,
-0.020666297525167465,
0.030999446287751198,
0.019056422635912895,
0.04578782990574837,
-0.024709703400731087,
-0.007871538400650024,
0.011783908121287823,
-0.03841235861182213,
0.11755828559398651,
0.005601802375167608,
-0.006921525113284588,
0.013478020206093788,
0.035155169665813446,
-0.05278891324996948,
-0.0008213168475776911,
-0.08071836829185486,
-0.07487788796424866,
0.08019421994686127,
0.0002091316127916798,
-0.005143174901604652,
0.03040042333304882,
-0.020348066464066505,
0.0034911816474050283,
-0.03844979777932167,
0.0597899965941906,
-0.016913043335080147,
-0.005035538226366043,
0.05080464854836464,
0.0007955775945447385,
0.03444382920861244,
-0.002146889455616474,
-0.028678232803940773,
-0.006022990215569735,
0.05308842286467552,
0.018335724249482155,
0.055222444236278534,
0.04582526907324791,
-0.006069789174944162,
-0.062485598027706146,
0.028753109276294708,
-0.03556699678301811,
0.004941940773278475,
0.020160872489213943,
0.01504109613597393,
0.04852087423205376,
0.030643776059150696,
0.04200649634003639,
-0.054249029606580734,
-0.005372488405555487,
-0.08221592009067535,
0.014619908295571804,
-0.02768610045313835,
0.042867593467235565,
0.015986429527401924,
0.02201410010457039,
0.004144023172557354,
0.023511657491326332,
-0.01343122124671936,
0.0062382640317082405,
0.030980726704001427,
-0.028079207986593246,
-0.039273452013731,
0.04664892703294754,
0.05387464165687561,
0.026581650599837303,
0.02446635067462921,
-0.039498087018728256,
-0.0810178741812706,
0.019655445590615273,
0.0013267425820231438,
0.03309602662920952,
-0.007646904326975346,
-0.006753049790859222,
0.04578782990574837,
0.04339173808693886,
0.06300974637269974,
-0.03489309549331665,
-0.03341425955295563,
0.04488929361104965,
-0.013693294487893581,
-0.02349293790757656,
0.03421919420361519,
-0.016772648319602013,
0.053313057869672775,
0.05001842975616455,
0.0041533829644322395,
-0.0026300859171897173,
-0.016426337882876396,
-0.007445670198649168,
-0.016875604167580605,
0.02736786939203739,
0.06110036000609398,
0.010014917701482773,
0.028996463865041733,
-0.058105241507291794,
-0.009921320714056492,
-0.006266343407332897,
0.011025769636034966,
-0.03961040452122688,
-0.04372868686914444,
0.007773261051625013,
0.015705637633800507,
-0.02377372980117798,
0.02798561193048954,
0.01881306990981102,
0.02667524851858616,
-0.01504109613597393,
-0.04578782990574837,
-0.05481061711907387,
-0.02300623245537281,
-0.028659513220191002,
-0.03502413257956505,
0.02010471373796463,
-0.0019456552108749747,
-0.023081108927726746,
-0.03264676034450531,
0.014413993805646896,
0.01022083219140768,
-0.034032002091407776,
0.022388489916920662,
0.007965135388076305,
0.0196367260068655,
-0.02590774931013584,
-0.030662495642900467,
-0.02718067355453968,
-0.02796689234673977,
-0.021508673205971718,
0.04178186133503914,
0.001393430749885738,
-0.04941940680146217,
0.012635643593966961,
-0.014573109336197376,
-0.010810495354235172,
0.01871011219918728,
-0.0262259803712368,
-0.03526748716831207,
-0.018569717183709145,
0.0016122146043926477,
0.01681944541633129,
-0.029483169317245483,
0.014479512348771095,
-0.028996463865041733,
-0.026488054543733597,
0.06637924909591675,
-0.01931849494576454,
-0.003921729512512684,
0.0505051352083683,
-0.014030245132744312,
0.022425927221775055,
0.006799848284572363,
0.002843019785359502,
-0.03230980783700943,
0.03169206529855728,
-0.014526310376822948,
-0.0017678202129900455,
0.03582907095551491,
-0.07922080904245377,
-0.016426337882876396,
-0.06035158038139343,
0.0029132179915905,
0.01415192149579525,
-0.005821756087243557,
0.03536108508706093,
-0.010829214937984943,
-0.030512740835547447,
0.04747258126735687,
0.04114539921283722,
-0.029183657839894295,
0.040134549140930176,
-0.007263155188411474,
-0.02588902972638607,
-0.018850509077310562,
-0.009504811838269234,
0.03279651701450348,
-0.07397935539484024,
0.05290123075246811,
-0.05657024681568146,
0.0262259803712368,
0.04515136778354645,
-0.021021967753767967,
-0.0032080495730042458,
0.03086841106414795,
-0.0025528680998831987,
-0.07293106615543365,
0.02186434343457222,
0.022556964308023453,
-0.012102139182388783,
-0.02897774428129196,
-0.004441194701939821,
-0.03809412568807602,
-0.010754336602985859,
-0.04844599589705467,
0.016276581212878227,
0.05039282143115997,
0.03665272891521454,
-0.008508000522851944,
0.014320396818220615,
0.009392495267093182,
-0.01728743314743042,
-0.028247684240341187,
0.0064582182094454765,
0.005657960660755634,
0.02313726767897606,
-0.048820383846759796,
0.03348913788795471,
-0.04473954066634178,
0.044140517711639404,
0.002854719525203109,
-0.02266928181052208,
0.02008599415421486,
-0.012579485774040222,
0.016894323751330376,
-0.03470590338110924,
-0.005756238009780645,
0.03859955072402954,
0.06671620160341263,
-0.03629705682396889,
-0.027873294427990913,
-0.029707802459597588,
-0.0037204951513558626,
-0.02169586904346943,
-0.11261634528636932,
0.03088712878525257,
-0.054286468774080276,
-0.004106584470719099,
0.018064290285110474,
0.05889146029949188,
-0.017249993979930878,
0.01991751790046692,
-0.058292437344789505,
-0.02895902469754219,
-0.02974524162709713,
-0.019224898889660835,
-0.01488198060542345,
0.017062800005078316,
-0.014395274221897125,
-0.016136186197400093,
-0.02733043022453785,
0.0030138350557535887,
-0.01022083219140768,
0.0018497179262340069,
-0.014133201912045479,
0.03491181507706642,
-0.023099828511476517,
0.014956858940422535,
0.003654977073892951,
0.010230191983282566,
0.015247010625898838,
-0.02637573704123497,
0.0011588523630052805,
-0.01093217171728611,
0.006968323606997728,
0.013871129602193832,
0.0810178741812706,
-0.02603878639638424,
-0.017615024000406265,
0.0032291091047227383,
-0.025477202609181404,
0.02313726767897606,
-0.029146218672394753,
-0.03702711686491966,
-0.04309222474694252,
0.07817251980304718,
-0.040284305810928345,
-0.0115873534232378,
-0.005817076191306114,
-0.011615432798862457,
0.005330369807779789,
0.026151103898882866,
-0.0761508122086525,
0.025177691131830215,
0.017970694229006767,
0.005891954060643911,
-0.04005967080593109,
-0.007567346561700106,
0.02573927491903305,
-0.009734125807881355,
-0.025121532380580902,
0.03554827719926834,
-0.01779285818338394,
0.00953289121389389,
0.003952148836106062,
-0.007969815284013748,
0.009289538487792015,
0.022631842643022537,
0.03567931428551674,
-0.004115943796932697,
-0.07094679772853851,
0.010716898366808891,
-0.01367457490414381,
-0.05207757279276848,
-0.0018567376537248492,
-0.03474334254860878,
0.03197285905480385,
-0.044926732778549194,
-0.018653955310583115,
-0.004553511738777161,
0.02929597534239292,
-0.044477466493844986,
-0.014582469128072262,
0.011531194671988487,
0.031617190688848495,
0.05383720248937607,
-0.039498087018728256,
-0.012205095961689949,
0.03957296535372734,
-0.01535932719707489,
0.05278891324996948,
0.05417415499687195,
-0.022126415744423866,
-0.0634215697646141,
-0.03601626679301262,
0.03069993481040001,
0.065181203186512,
0.048633188009262085,
-0.0629723072052002,
-0.004768785554915667,
0.016117466613650322,
-0.029183657839894295,
-0.07547691464424133,
-0.01077305618673563,
0.03809412568807602,
0.011933663859963417,
-0.028060490265488625,
0.06443242728710175,
0.021489953622221947,
-0.00259498693048954,
0.0025154291652143,
0.023717571049928665,
0.10849805921316147,
0.00341396383009851,
0.0032642080914229155,
-0.017324872314929962,
0.02637573704123497,
-0.010286349803209305,
0.009546930901706219,
0.0022404869087040424,
-0.031916700303554535,
-0.05608354136347771,
0.021190442144870758,
0.01206470001488924,
0.008943228051066399,
-0.019580569118261337,
-0.009677967056632042,
-0.008746673353016376,
-0.018139168620109558,
-0.007993214763700962,
0.015724357217550278,
0.012411010451614857,
-0.03764485940337181,
0.005606481805443764,
-0.04485185444355011,
-0.008723273873329163,
0.03584779053926468,
-0.03612858057022095,
0.030774813145399094,
-0.03283395618200302,
0.017343591898679733,
-0.0013630115427076817,
-0.030119631439447403,
0.022893914952874184,
-0.015293808653950691,
-0.03983503580093384,
0.016304660588502884,
0.06113779917359352,
-0.032590601593256,
-0.01319722831249237,
0.01494749914854765,
0.001722191460430622,
0.008657756261527538,
-0.05870426446199417,
0.018223406746983528,
0.05630817264318466,
0.03848723694682121,
0.03421919420361519,
0.015443564392626286,
-0.06098804250359535,
0.01399280596524477,
-0.0196367260068655,
-0.015153412707149982,
0.012579485774040222,
0.04818392172455788,
0.015275090001523495,
0.0342753529548645,
-0.0037181552033871412,
0.035304926335811615,
0.021920502185821533,
-0.007693703286349773,
-0.02895902469754219,
-0.00928017869591713,
-0.012944514863193035,
-0.02139635756611824,
-0.0034233236219733953,
-0.007646904326975346,
-0.0040972246788442135,
-0.006575214676558971,
-0.0005218053120188415,
0.027704820036888123,
0.004913861397653818,
-0.030362984165549278,
0.037401504814624786,
0.04473954066634178,
0.03436895087361336,
-0.019187459722161293,
-0.016604172065854073,
0.02815408632159233,
-0.014666706323623657,
-0.01053906325250864,
-0.0026254060212522745,
0.027236832305788994,
0.012841558083891869,
0.02639445662498474,
-0.02364269457757473,
0.013852410018444061,
0.028191525489091873,
0.006706250831484795,
0.017006641253829002,
0.011119366623461246,
0.03878674656152725,
0.018869228661060333,
0.005082336720079184,
0.00751118827611208,
0.027611222118139267,
-0.03041914291679859,
-0.029033901169896126,
-0.0020462723914533854,
0.027124514803290367,
0.10924684256315231,
-0.06031414121389389,
-0.012074059806764126,
0.05226476863026619,
0.03455614671111107,
-0.02248208597302437,
-0.011381438933312893,
-0.01646377518773079,
0.0031448714435100555,
0.01703472062945366,
-0.08363860100507736,
-0.04893270134925842,
-0.0016332740196958184,
0.0607634074985981,
0.005943432450294495,
0.005456726066768169,
-0.019224898889660835,
0.048782944679260254,
0.021021967753767967,
-0.051852937787771225,
0.00824124738574028,
0.0417444221675396,
0.008868349716067314,
-0.04533856362104416,
-0.015452924184501171,
-0.0217145886272192,
-0.016707129776477814,
-0.025027934461832047,
-0.02027318812906742,
-0.05612098053097725,
0.025795433670282364,
-0.004209541250020266,
0.020685017108917236,
0.0028664192650467157,
-0.011372079141438007,
-0.008021294139325619,
0.0026534851640462875,
-0.006977683398872614,
0.07547691464424133,
0.06858814507722855,
-0.006926205009222031,
0.016407618299126625,
-0.017493346706032753,
0.04372868686914444,
-0.051852937787771225,
-0.014339116401970387,
-0.026750126853585243,
0.013075551949441433,
0.039647843688726425,
-0.021358918398618698,
0.02768610045313835,
-0.0027049637865275145,
-0.001081634545698762,
-0.017577584832906723,
0.01648249477148056,
0.011933663859963417,
0.003952148836106062,
0.005578402895480394,
-0.03558571636676788,
-0.05859195068478584,
0.019355934113264084,
-0.03101816587150097,
0.0005522244609892368,
0.05335049703717232,
-0.018887948244810104,
-0.016810085624456406,
0.0006733160116709769,
-0.013796251267194748,
-0.01656673289835453,
0.025626957416534424,
0.05001842975616455,
-0.07012314349412918,
0.06473193317651749,
0.0658925399184227,
-0.012813478708267212,
0.01140951830893755,
0.012336132116615772,
-0.0009447484044358134,
0.027218112722039223,
0.02880926802754402,
0.02764866128563881,
0.03376992791891098,
0.0029178978875279427,
0.020291907712817192,
0.047360263764858246,
-0.07959520071744919,
0.030194509774446487,
-0.02510281279683113,
0.06259791553020477,
-0.01726871356368065,
-0.015247010625898838,
-0.013066192157566547,
0.028378719463944435,
-0.008339525200426579,
0.05578402802348137,
0.027424028143286705,
-0.01663225144147873,
0.04455234482884407,
0.01101640984416008,
-0.04275527596473694,
-0.02188306301832199,
-0.008456521667540073,
-0.007370792329311371,
-0.00005550030982703902,
-0.0196367260068655,
-0.046611487865448,
-0.0011658722069114447,
-0.02109684608876705,
0.0018696073675528169,
-0.021508673205971718,
-0.009865161962807178,
0.03665272891521454,
-0.03041914291679859,
0.03534236550331116,
0.018700752407312393,
0.024690983816981316,
0.0010997690260410309,
-0.0029319373425096273,
-0.014938139356672764,
0.008704554289579391,
0.018214046955108643,
0.039011381566524506,
0.0012296353233978152,
0.0166509710252285,
0.006121267564594746,
0.02283775620162487,
0.02315598726272583,
-0.04129515588283539,
0.006888765841722488,
0.03281523659825325,
-0.011606073006987572,
0.004810904618352652,
-0.015986429527401924,
-0.05301354452967644,
0.02764866128563881,
-0.0011401328956708312,
0.026899881660938263,
-0.009556290693581104,
-0.023717571049928665,
0.00869519542902708,
-0.015499723143875599,
0.01752142608165741,
-0.007974495179951191,
-0.0546608604490757,
-0.037869494408369064,
0.047360263764858246,
0.006921525113284588,
-0.019655445590615273,
-0.0037368747871369123,
0.04971892014145851,
-0.0011576823890209198,
-0.0012834538938477635,
-0.003027874743565917,
0.04713563248515129,
-0.00281728059053421,
-0.017165755853056908,
0.0014063003472983837,
-0.0139085678383708,
-0.050729770213365555,
0.0042329407297074795,
-0.019861361011862755,
0.018017493188381195,
-0.01743718795478344,
0.00829272624105215,
-0.0022919655311852694,
0.03844979777932167,
-0.00089911965187639,
0.02942701056599617,
0.010707538574934006,
0.039273452013731,
0.04297990724444389,
0.013281465508043766,
-0.01993623748421669,
0.006565854884684086,
-0.044290270656347275,
0.01254204660654068,
0.009855802170932293,
0.02733043022453785,
0.005606481805443764,
-0.007047881372272968,
-0.018438680097460747,
0.002087221248075366,
0.01576179638504982,
0.0042890990152955055,
-0.029820119962096214,
0.01641697809100151,
0.07839714735746384,
-0.005409927573055029,
0.04616221785545349,
-0.003671356476843357,
0.003659656969830394,
0.0371955931186676,
-0.022893914952874184,
0.027779696509242058,
0.04178186133503914,
-0.07098423689603806,
-0.021808184683322906,
0.01464798767119646,
0.024241717532277107,
-0.020703736692667007,
0.013010033406317234,
0.006139987148344517,
0.01027699001133442,
-0.021471235901117325,
-0.017128316685557365,
0.025177691131830215,
0.00885431095957756,
-0.011475036852061749,
-0.005503525026142597,
0.027218112722039223,
0.0062242248095571995,
-0.010904092341661453,
0.01135336048901081,
-0.03972272202372551,
0.018756911158561707,
-0.015162772499024868,
-0.007960455492138863,
0.029558047652244568,
0.03167334571480751,
0.003928749356418848,
-0.007979175075888634,
-0.0009154992294497788,
-0.006860686466097832,
-0.03298370912671089,
0.011278482154011726,
0.004918541293591261,
-0.06619205325841904,
0.03023194894194603,
0.0014589489437639713,
-0.03006347268819809,
0.028509756550192833,
-0.022238733246922493,
-0.016323380172252655,
0.045450881123542786,
-0.010829214937984943,
0.008662436157464981,
0.05630817264318466,
0.027087077498435974,
-0.07210741192102432,
0.009387815371155739,
-0.009303578175604343,
-0.012354851700365543,
0.0020275528077036142,
-0.04619965702295303,
0.039797600358724594,
-0.058779142796993256,
0.0011834217002615333,
-0.015602679923176765,
0.011259762570261955,
0.02169586904346943,
-0.0005843985127285123,
0.02188306301832199,
0.023268304765224457,
0.05301354452967644,
0.02588902972638607,
-0.0009968118974938989,
-0.024859460070729256,
-0.01980520226061344,
-0.0363532155752182,
-0.02961420640349388,
0.008414402604103088,
0.0356418751180172,
-0.009027465246617794,
-0.013244027271866798,
0.015331247821450233,
0.0108572943136096,
0.010978970676660538,
-0.0036690165288746357,
-0.0027681419160217047,
0.0043686567805707455,
-0.04099564626812935,
-0.060389019548892975,
0.02912749908864498,
-0.011390798725187778,
0.005625201389193535,
0.036596570163965225,
-0.0355108380317688,
-0.042043935507535934,
-0.00237854290753603,
0.008671795949339867,
-0.034499987959861755,
-0.002814940642565489,
0.057655975222587585,
0.033676330000162125,
-0.024896899238228798,
-0.0020228729117661715,
0.012832198292016983,
-0.036109860986471176,
-0.02639445662498474,
0.04889526218175888,
-0.043017346411943436,
-0.015583961270749569,
-0.018036210909485817,
-0.017951974645256996,
-0.039310891181230545,
-0.010950891301035881,
-0.02557079866528511,
-0.03749510273337364,
0.005564363207668066,
0.006294422782957554,
0.04178186133503914,
-0.01754014566540718,
0.02379244938492775,
0.03156103193759918,
-0.00650969659909606,
0.035323645919561386,
-0.04144491255283356,
0.02828512340784073,
-0.04151979088783264,
0.0017467607976868749,
-0.000545789604075253,
-0.009930680505931377,
0.02251952514052391,
0.0016005148645490408,
-0.010482904501259327,
-0.05934072658419609,
-0.01696920208632946,
0.029183657839894295,
-0.0023235545959323645,
-0.02345549874007702,
0.013440581038594246,
0.010510983876883984,
0.03244084492325783,
0.06791424751281738,
0.03957296535372734,
-0.02253824472427368,
-0.04320454224944115,
0.0053771683014929295,
0.000048882684495765716,
0.056682564318180084,
0.01654801331460476,
-0.020460383966565132,
0.03234724700450897,
0.006069789174944162,
-0.03702711686491966,
-0.013103630393743515,
0.0035730793606489897,
0.01447015255689621,
-0.02427915669977665,
-0.03631577640771866,
-0.005615841597318649,
-0.036746323108673096,
0.006116587668657303,
0.04406563937664032,
-0.050093308091163635,
0.006097868084907532,
-0.0029038581997156143,
0.00295299687422812,
0.004387376364320517,
0.025851592421531677,
0.013328264467418194,
-0.022220013663172722,
0.020217031240463257,
-0.003088712925091386,
-0.0024194917641580105,
-0.024241717532277107,
0.062448158860206604,
-0.04518880695104599,
-0.027255551889538765,
0.018120449036359787,
0.0069449241273105145,
-0.08865541964769363,
0.012560766190290451,
0.024391472339630127,
-0.0005785487010143697,
-0.017156396061182022,
-0.013066192157566547,
-0.012897716835141182,
0.008905788883566856,
-0.002456930698826909,
0.0027845215518027544,
0.032740358263254166,
-0.006256983615458012,
-0.020479103550314903,
-0.05866682529449463,
-0.02811664715409279,
0.0704975351691246,
-0.002761122304946184,
0.01959928683936596,
-0.036914799362421036,
0.045450881123542786,
-0.04279271513223648,
0.014002165757119656,
-0.024672264233231544,
-0.0008780602365732193,
0.004736026749014854,
-0.02169586904346943,
-0.005962152034044266,
-0.011465677060186863,
-0.023755010217428207,
-0.00165901321452111,
-0.030306825414299965,
0.03294626995921135,
0.015481003560125828,
0.00016204043640755117,
0.01911258138716221,
-0.03509901091456413,
0.03702711686491966,
-0.006739010103046894,
-0.02075989544391632,
-0.025364885106682777,
0.007487788796424866,
-0.06626693159341812,
0.006149346940219402,
-0.022425927221775055,
-0.0262259803712368,
0.008573518134653568,
0.013927287422120571,
0.005157214589416981,
-0.03444382920861244,
-0.011914944276213646,
0.026750126853585243,
-0.0008640206651762128,
0.02811664715409279,
0.02508409321308136,
0.043653808534145355,
0.018972184509038925,
-0.03502413257956505,
0.0463494136929512,
0.013983446173369884,
-0.04017198830842972,
0.010744976811110973,
-0.03296498954296112,
-0.018532278016209602,
-0.02059141919016838,
-0.029707802459597588,
0.007557987235486507,
0.009556290693581104,
0.0019281057175248861,
0.028228964656591415,
-0.02733043022453785,
-0.003849191591143608,
0.02025446854531765,
0.04904501885175705,
-0.024541229009628296,
-0.02719939313828945,
-0.014825821854174137,
-0.025814153254032135,
-0.014442073181271553,
-0.02847231738269329,
-0.032085176557302475,
0.04676124081015587,
0.010726258158683777,
-0.023230865597724915,
0.01718447543680668,
-0.019337214529514313,
0.010342508554458618,
-0.0007171898032538593,
0.016445057466626167,
-0.01440463401377201,
0.0051057361997663975,
0.025664396584033966,
0.04485185444355011,
0.009392495267093182,
0.030269386246800423,
-0.010801135562360287,
0.014105122536420822,
-0.027629941701889038,
0.03670888394117355,
0.0007218696409836411,
-0.0324595645070076,
0.0151253342628479,
0.010726258158683777,
-0.001971394522115588,
0.03534236550331116,
0.008798152208328247,
-0.021995380520820618,
0.024953056126832962,
-0.008709234185516834,
-0.004445874597877264,
0.02074117586016655,
0.019749043509364128,
-0.028378719463944435,
-0.025215130299329758,
-0.0019152360036969185,
0.0405089370906353,
-0.042380884289741516,
-0.003067653626203537,
0.0543987862765789,
-0.00001763176805980038,
-0.01722191460430622,
0.012439089827239513,
0.021433796733617783,
0.003996607381850481,
0.0026932640466839075,
-0.005962152034044266,
-0.02478458173573017,
-0.0005490070325322449,
-0.013403142802417278,
0.006154026370495558,
-0.004223580937832594,
-0.01309427060186863,
0.00896194763481617,
-0.05511012673377991,
0.007997894659638405,
-0.02334318310022354
] |
Bayesian brain theory suggests that the brain employs generative models to
understand the external world. The sampling-based perspective posits that the
brain infers the posterior distribution through samples of stochastic neuronal
responses. Additionally, the brain continually updates its generative model to
approach the true distribution of the external world. In this study, we
introduce the Hierarchical Exponential-family Energy-based (HEE) model, which
captures the dynamics of inference and learning. In the HEE model, we decompose
the partition function into individual layers and leverage a group of neurons
with shorter time constants to sample the gradient of the decomposed
normalization term. This allows our model to estimate the partition function
and perform inference simultaneously, circumventing the negative phase
encountered in conventional energy-based models (EBMs). As a result, the
learning process is localized both in time and space, and the model is easy to
converge. To match the brain's rapid computation, we demonstrate that neural
adaptation can serve as a momentum term, significantly accelerating the
inference process. On natural image datasets, our model exhibits
representations akin to those observed in the biological visual system.
Furthermore, for the machine learning community, our model can generate
observations through joint or marginal generation. We show that marginal
generation outperforms joint generation and achieves performance on par with
other EBMs. | [
-0.011299138888716698,
0.014258436858654022,
-0.029697122052311897,
-0.05213918909430504,
0.027319269254803658,
0.025548897683620453,
-0.012722378596663475,
0.022251145914196968,
0.007944977842271328,
0.013225719332695007,
0.007949316874146461,
-0.0073461756110191345,
0.030096322298049927,
0.020307207480072975,
0.015265119262039661,
0.00012169950787210837,
0.018102921545505524,
0.0022650347091257572,
-0.031658414751291275,
-0.01867568865418434,
0.033810634166002274,
-0.03662240132689476,
-0.0454048328101635,
-0.030582306906580925,
0.02400416135787964,
0.03334200382232666,
0.03476524353027344,
-0.0048555051907896996,
-0.05397898703813553,
-0.0007013145950622857,
0.011099537834525108,
0.045613113790750504,
0.007745377253741026,
-0.011359886266291142,
-0.05654776096343994,
0.021799873560667038,
0.018363269045948982,
0.016323870047926903,
-0.012843875214457512,
0.028655726462602615,
0.06053977832198143,
-0.01038791798055172,
-0.005224332679063082,
-0.059567809104919434,
-0.014970056712627411,
-0.00904278177767992,
-0.009520088322460651,
-0.04655036702752113,
0.035962849855422974,
-0.04856373369693756,
0.029141711071133614,
-0.004894557874649763,
-0.015863921493291855,
0.021105609834194183,
-0.06678815186023712,
0.04203765466809273,
0.05727674067020416,
0.032022904604673386,
0.08268678188323975,
0.03285602107644081,
0.014857239089906216,
0.03025253303349018,
-0.06050506606698036,
0.001641282346099615,
0.01754751056432724,
-0.016002774238586426,
0.05762387067079544,
0.009294453077018261,
0.06116461381316185,
-0.028846649453043938,
-0.040822695940732956,
-0.011264425702393055,
-0.0029115676879882812,
0.036275267601013184,
0.014779134653508663,
0.01038791798055172,
0.012878588400781155,
0.038115065544843674,
0.028968144208192825,
0.04519655555486679,
0.033637065440416336,
0.011429312638938427,
-0.007775751408189535,
0.02521912194788456,
0.04005900397896767,
0.0028638369403779507,
0.03105093538761139,
-0.038844041526317596,
0.026104308664798737,
0.008044778369367123,
-0.03630997985601425,
0.0025080270133912563,
0.01157684437930584,
0.0017009455477818847,
0.024628998711705208,
0.02009892836213112,
0.0325436033308506,
0.006973009090870619,
-0.026902711018919945,
-0.01274841371923685,
0.009520088322460651,
-0.0003905232297256589,
0.01018831692636013,
-0.008044778369367123,
-0.026815928518772125,
-0.01303479727357626,
-0.030131036415696144,
-0.0021533016115427017,
-0.026711788028478622,
0.11594200879335403,
-0.03365442156791687,
-0.02612166479229927,
-0.049119144678115845,
0.025965455919504166,
-0.042523641139268875,
0.014336541295051575,
-0.0444328635931015,
-0.02508026920258999,
0.08358932286500931,
-0.05994965508580208,
0.042697206139564514,
0.03271716833114624,
0.021244462579488754,
0.03953830525279045,
0.0010685148881748319,
0.08081227540969849,
-0.004842488095164299,
-0.058630552142858505,
0.034348685294389725,
-0.013338537886738777,
-0.006560790352523327,
-0.03353292867541313,
-0.004352164454758167,
-0.016211053356528282,
0.030998865142464638,
-0.06425409018993378,
0.0335676409304142,
0.015542823821306229,
0.011524774134159088,
-0.05061180889606476,
0.01799878105521202,
-0.01785992830991745,
0.018918680027127266,
-0.0508895143866539,
0.0019786509219557047,
0.012531456537544727,
-0.028621012344956398,
0.06900979578495026,
0.00971968937665224,
0.0017725415527820587,
-0.03617112711071968,
0.07407791912555695,
-0.017061525955796242,
0.029228493571281433,
0.004768722224980593,
0.003430095734074712,
-0.008062134496867657,
-0.009980037808418274,
-0.026052238419651985,
0.0028139366768300533,
0.0369001068174839,
0.004428099375218153,
-0.010205673985183239,
0.061407607048749924,
0.014275792986154556,
0.07657726109027863,
-0.014492751099169254,
-0.0507853738963604,
-0.05887354537844658,
0.02629522979259491,
-0.026277873665094376,
0.05380542203783989,
-0.025548897683620453,
0.020932044833898544,
-0.02481991983950138,
0.047869469970464706,
0.09046253561973572,
-0.008938642218708992,
-0.04203765466809273,
0.014917987398803234,
-0.008227022364735603,
-0.036101702600717545,
0.03476524353027344,
0.018519479781389236,
0.02629522979259491,
0.008305126801133156,
0.07741037756204605,
0.004894557874649763,
0.024212440475821495,
-0.048390164971351624,
0.044224586337804794,
0.03460903465747833,
0.06755183637142181,
-0.05241689458489418,
0.07824349403381348,
-0.05151435360312462,
-0.022199075669050217,
-0.010170960798859596,
-0.014275792986154556,
0.03707367181777954,
-0.0013744247844442725,
-0.06012322008609772,
-0.04047556221485138,
-0.009980037808418274,
0.032057616859674454,
0.011273103766143322,
0.012088863179087639,
-0.01337325107306242,
0.039330027997493744,
-0.04262777790427208,
0.06859323382377625,
-0.050021685659885406,
-0.07463333010673523,
-0.06158117204904556,
-0.01947409100830555,
-0.028082959353923798,
0.014805168844759464,
-0.010023429058492184,
0.00694263493642211,
0.012982727959752083,
-0.012166967615485191,
0.028395377099514008,
0.06425409018993378,
-0.016801176592707634,
0.036066990345716476,
0.03873990476131439,
-0.0057059782557189465,
-0.015230406075716019,
0.029697122052311897,
-0.0020177033729851246,
0.02971447817981243,
0.0313633531332016,
0.06043563783168793,
-0.01743469201028347,
0.013833200559020042,
-0.001398290041834116,
0.036101702600717545,
-0.044537004083395004,
0.01525644026696682,
-0.0508895143866539,
-0.008417945355176926,
0.004018050152808428,
-0.04429401084780693,
0.007641237694770098,
-0.004287077113986015,
0.013364572077989578,
-0.035928137600421906,
0.0023019174113869667,
0.03011368028819561,
-0.022858625277876854,
0.004332638345658779,
-0.02400416135787964,
0.006374206859618425,
0.0052850809879601,
-0.03160634636878967,
0.02320575714111328,
0.014397289603948593,
-0.00924238283187151,
-0.002247678115963936,
-0.014839882031083107,
0.04103097319602966,
0.060019079595804214,
-0.028968144208192825,
0.005354507360607386,
-0.007354854140430689,
0.0023149349726736546,
0.1041395291686058,
0.06126875430345535,
0.0017258956795558333,
0.026225803419947624,
0.024924060329794884,
-0.020307207480072975,
-0.0035776265431195498,
0.013607564382255077,
0.017330553382635117,
-0.03617112711071968,
0.008227022364735603,
-0.01422372367233038,
0.032370034605264664,
0.017842572182416916,
0.01768636330962181,
0.019717084243893623,
0.01364227756857872,
0.052972305566072464,
0.006157249677926302,
-0.03325522318482399,
0.013069510459899902,
-0.02521912194788456,
-0.030460812151432037,
0.03162370249629021,
-0.03988543897867203,
0.018102921545505524,
-0.05290287733078003,
0.012626917101442814,
0.009329166263341904,
0.014683673158288002,
-0.0454048328101635,
-0.021105609834194183,
0.06050506606698036,
-0.019109603017568588,
-0.046966925263404846,
-0.01359888631850481,
0.029922757297754288,
0.04488413408398628,
-0.01137724332511425,
-0.024125656113028526,
-0.055402226746082306,
0.0984465628862381,
-0.017712397500872612,
-0.017825216054916382,
0.04339146986603737,
0.036240555346012115,
-0.010743727907538414,
-0.0037837361451238394,
-0.017981424927711487,
0.043009623885154724,
0.018380627036094666,
-0.03334200382232666,
-0.014683673158288002,
-0.0056322128511965275,
-0.0022650347091257572,
0.041759949177503586,
-0.09344787150621414,
0.01570771262049675,
0.002113164635375142,
0.03460903465747833,
0.043912164866924286,
0.03500823676586151,
0.009329166263341904,
0.032508887350559235,
-0.026989493519067764,
-0.1070554330945015,
-0.03814977779984474,
0.0018484765896573663,
-0.00571031728759408,
0.005068123806267977,
-0.010717692784965038,
0.01871040090918541,
0.00601405743509531,
-0.010223030112683773,
-0.021782517433166504,
-0.03127657249569893,
0.008487371727824211,
-0.03311637043952942,
-0.022806556895375252,
-0.03186669573187828,
-0.06446236371994019,
-0.016480080783367157,
0.006343832705169916,
-0.012921979650855064,
0.0008851859602145851,
0.007771411910653114,
-0.012930657714605331,
-0.015863921493291855,
0.03450489789247513,
-0.02917642332613468,
-0.009823828935623169,
0.024438075721263885,
-0.02108825370669365,
0.019734440371394157,
0.01969972625374794,
-0.03953830525279045,
-0.02176516130566597,
0.008678293786942959,
-0.06546904891729355,
-0.018154989928007126,
-0.03801092877984047,
-0.03079058602452278,
0.019821222871541977,
0.03257831558585167,
-0.007814803160727024,
0.03912174701690674,
-0.05352771654725075,
0.02593074180185795,
-0.0048555051907896996,
0.004933610092848539,
0.029679764062166214,
0.0178078580647707,
0.00019485481607262045,
0.0488414391875267,
-0.00558882113546133,
0.038844041526317596,
-0.01817234791815281,
0.006322137080132961,
0.046376802027225494,
0.014136940240859985,
-0.005020393058657646,
-0.013538138009607792,
-0.00464288704097271,
0.017825216054916382,
0.04693221300840378,
-0.10087648779153824,
-0.032370034605264664,
-0.045508973300457,
0.0432526171207428,
0.023535532876849174,
0.02284126915037632,
-0.053111158311367035,
0.010691657662391663,
0.023726455867290497,
-0.0013559834333136678,
0.00561919528990984,
0.024247152730822563,
-0.010761084035038948,
-0.027319269254803658,
-0.0008651174139231443,
-0.0049943579360842705,
-0.004768722224980593,
0.023032192140817642,
-0.0029484503902494907,
0.03742080181837082,
-0.006044431589543819,
0.0043825386092066765,
-0.05068123713135719,
0.009415948763489723,
0.022424710914492607,
-0.0812288299202919,
0.02952355518937111,
0.05370128154754639,
-0.05252103507518768,
-0.01444935891777277,
-0.0039008930325508118,
0.008487371727824211,
0.02643408253788948,
-0.04707106575369835,
0.061824165284633636,
0.03231796622276306,
-0.008634902536869049,
-0.015568858943879604,
-0.01831120066344738,
0.008014404214918613,
-0.010969363152980804,
0.02513233944773674,
-0.06866265833377838,
-0.025323260575532913,
-0.024785207584500313,
-0.02450750209391117,
0.05300701782107353,
-0.0574503056704998,
-0.029367346316576004,
-0.009025425650179386,
0.01992536336183548,
0.005085480399429798,
-0.027215128764510155,
-0.008812807500362396,
-0.03155427798628807,
-0.007949316874146461,
-0.04689750075340271,
0.00022265248117037117,
-0.03926059976220131,
-0.06324740499258041,
0.05241689458489418,
-0.021556882187724113,
-0.024628998711705208,
0.01303479727357626,
0.003547252621501684,
-0.030148392543196678,
-0.01456217747181654,
-0.0041352068074047565,
-0.05554107949137688,
0.03957302123308182,
0.03912174701690674,
0.00694263493642211,
-0.054950956255197525,
0.062032442539930344,
0.05054238438606262,
0.011411956511437893,
-0.014536142349243164,
-0.011116893962025642,
0.017000777646899223,
-0.006595503073185682,
-0.06144231930375099,
0.004148224368691444,
-0.003362838877364993,
0.023570245131850243,
0.009068816900253296,
-0.01692267321050167,
-0.055402226746082306,
0.0769243985414505,
-0.0275969747453928,
-0.006916600279510021,
-0.0237785242497921,
0.0867135152220726,
-0.02037663385272026,
-0.06716999411582947,
0.018779827281832695,
0.05592292547225952,
0.01969972625374794,
0.014900630339980125,
-0.010726370848715305,
-0.06567732989788055,
0.003740344662219286,
0.0018322047544643283,
0.0336197093129158,
0.012783126905560493,
-0.05502038449048996,
0.04832074046134949,
-0.02742340788245201,
0.07602185755968094,
0.05776272341609001,
-0.009459340013563633,
-0.027492834255099297,
0.0161936953663826,
-0.030721159651875496,
-0.02159159444272518,
0.014102227054536343,
-0.0004528984718490392,
-0.03164105862379074,
-0.0016195866046473384,
0.0070814876817166805,
-0.006239693146198988,
0.025184407830238342,
0.00498134084045887,
-0.035025592893362045,
0.04870258644223213,
-0.004235007334500551,
-0.007745377253741026,
-0.00899939052760601,
0.03665711358189583,
0.029020214453339577,
0.011637591756880283,
0.018658332526683807,
0.0020882145036011934,
0.030825300142169,
-0.04845959320664406,
0.02544475719332695,
0.02298012189567089,
0.011533452197909355,
-0.024802563712000847,
-0.0259828120470047,
0.02190401405096054,
0.011255746707320213,
-0.01712227426469326,
-0.04363446310162544,
-0.002967976499348879,
-0.02383059449493885,
-0.015239084139466286,
0.06873209029436111,
0.011707018129527569,
-0.04457171633839607,
-0.017894642427563667,
0.03981601074337959,
0.03414040803909302,
0.007806125096976757,
-0.041933514177799225,
-0.037767935544252396,
0.048043034970760345,
-0.016775142401456833,
-0.016375940293073654,
-0.00958083663135767,
0.010873902589082718,
-0.0053675249218940735,
0.012861231341958046,
-0.0014384272508323193,
-0.009728367440402508,
-0.011116893962025642,
-0.026416726410388947,
-0.017018133774399757,
0.013008762151002884,
-0.03755965456366539,
0.004820792004466057,
-0.004258872475475073,
-0.02244206704199314,
-0.04585610330104828,
-0.006834156345576048,
-0.024698425084352493,
-0.007918942719697952,
0.020446060225367546,
0.05644362419843674,
0.010552804917097092,
-0.027631687000393867,
0.02190401405096054,
-0.011524774134159088,
0.00034279259853065014,
0.04627266153693199,
0.02063698321580887,
0.04641151428222656,
-0.01987329311668873,
0.006999043747782707,
0.0005350710707716644,
0.005870865657925606,
-0.005150567274540663,
0.03759437054395676,
0.0716479942202568,
0.051757343113422394,
-0.040544990450143814,
-0.007545776665210724,
-0.07029417902231216,
0.034227192401885986,
-0.021834587678313255,
-0.005280741956084967,
0.08268678188323975,
0.010743727907538414,
0.04318318888545036,
0.02136595919728279,
-0.04908442869782448,
-0.022008152678608894,
0.013191006146371365,
0.048529017716646194,
-0.022181719541549683,
-0.013347215950489044,
-0.039642445743083954,
-0.0195261612534523,
0.0053024375811219215,
-0.016436688601970673,
0.04446757584810257,
0.04578667879104614,
-0.02405622974038124,
-0.03769850730895996,
-0.018883967772126198,
0.025236478075385094,
-0.023726455867290497,
0.016506114974617958,
-0.008001387119293213,
0.027267199009656906,
-0.0027184756472706795,
-0.0124273169785738,
-0.006643233820796013,
-0.030582306906580925,
-0.01746072806417942,
0.051132507622241974,
-0.010761084035038948,
0.026139020919799805,
0.021643664687871933,
-0.006630216259509325,
-0.031797267496585846,
-0.028864005580544472,
-0.004825131502002478,
0.020029501989483833,
-0.010309812612831593,
0.02997482754290104,
0.04564782604575157,
-0.013147614896297455,
0.0124273169785738,
0.023500818759202957,
0.010170960798859596,
-0.004820792004466057,
0.00592293543741107,
0.035789284855127335,
0.03419247642159462,
-0.004384708125144243,
-0.015360579825937748,
-0.01983857899904251,
-0.017052847892045975,
-0.004300094675272703,
-0.01978651061654091,
0.0074850283563137054,
0.015048161149024963,
0.05828342214226723,
-0.012982727959752083,
-0.0010169876040890813,
-0.01227110717445612,
0.01038791798055172,
0.03167577087879181,
-0.02360495924949646,
-0.023483462631702423,
0.02153952606022358,
-0.01978651061654091,
-0.03160634636878967,
-0.029540911316871643,
0.038844041526317596,
-0.0019254963845014572,
0.025861315429210663,
0.025965455919504166,
0.0390523225069046,
0.018102921545505524,
0.03683067858219147,
0.019543517380952835,
0.07137028872966766,
0.03568514436483383,
-0.010353204794228077,
-0.009650263004004955,
-0.011654948815703392,
-0.0029571286868304014,
0.04641151428222656,
-0.022494137287139893,
0.0324915312230587,
0.01474442146718502,
0.03880932927131653,
-0.008070813491940498,
-0.017165664583444595,
0.006105179898440838,
0.021192394196987152,
-0.0358239971101284,
-0.013156293891370296,
-0.018658332526683807,
0.0249067023396492,
0.008990712463855743,
-0.022060222923755646,
-0.004937949124723673,
-0.025375330820679665,
-0.05220861732959747,
0.045161839574575424,
-0.022563563659787178,
0.01825913041830063,
-0.0005955478991381824,
-0.02020306885242462,
0.03860105201601982,
0.02917642332613468,
0.026902711018919945,
-0.013746417127549648,
-0.00430877273902297,
-0.0003240800288040191,
-0.004271890036761761,
0.02912435494363308,
0.009476697072386742,
0.0060965013690292835,
-0.018207060173153877,
-0.03828863054513931,
-0.01649743691086769,
0.021973440423607826,
0.040544990450143814,
0.009632905945181847,
0.024108299985527992,
0.05151435360312462,
0.016289157792925835,
-0.0058231353759765625,
-0.030165748670697212,
-0.016714394092559814,
0.04526598006486893,
0.06935692578554153,
0.019144315272569656,
-0.0032196471001952887,
-0.009259739890694618,
0.06158117204904556,
0.058491699397563934,
0.01893603801727295,
-0.009589514695107937,
0.006296101957559586,
-0.0018452221993356943,
-0.005363185424357653,
-0.03257831558585167,
0.0054499683901667595,
0.013668312691152096,
0.03393212705850601,
-0.02867308259010315,
-0.018154989928007126,
0.03599756211042404,
0.012843875214457512,
-0.02481991983950138,
-0.01041395217180252,
-0.007042435463517904,
0.012592203915119171,
0.002057840349152684,
-0.013494746759533882,
0.04967455565929413,
-0.03985072672367096,
0.028881361708045006,
-0.05106307938694954,
0.013538138009607792,
0.02431657910346985,
0.00469061778858304,
0.015022126957774162,
-0.04064912721514702,
-0.01667100191116333,
0.003171916352584958,
0.02185194380581379,
-0.04495356231927872,
0.031484849750995636,
-0.021956082433462143,
-0.009094852022826672,
0.046064384281635284,
0.029332632198929787,
0.06376810371875763,
0.0519656240940094,
0.026625005528330803,
0.02405622974038124,
-0.019456734880805016,
-0.0009974613785743713,
-0.025826603174209595,
0.03275188058614731,
0.011134251020848751,
0.024976128712296486,
-0.052659887820482254,
-0.0006020566215738654,
-0.012054149992763996,
-0.01214093342423439,
0.03490409627556801,
-0.00578842218965292,
0.023865308612585068,
-0.03460903465747833,
-0.0026512187905609608,
0.07442504912614822,
0.0421765074133873,
-0.008778094314038754,
-0.01961294375360012,
-0.03528594225645065,
-0.007671611849218607,
0.014536142349243164,
0.005241689272224903,
-0.006148571148514748,
-0.015942025929689407,
0.02391737699508667,
0.0227544866502285,
0.03728194907307625,
0.02298012189567089,
-0.005636551883071661,
-0.007567472290247679,
-0.04488413408398628,
-0.03676125407218933,
-0.014970056712627411,
0.005241689272224903,
0.005506377201527357,
0.0024689745623618364,
-0.06710056960582733,
0.003989845514297485,
-0.03209232911467552,
0.0009909527143463492,
0.04533540830016136,
0.00004254397936165333,
-0.012331855483353138,
0.004777400754392147,
0.031571634113788605,
0.018554192036390305,
0.026677075773477554,
-0.01431918516755104,
-0.015456041321158409,
0.05227804183959961,
-0.013876591809093952,
-0.042384788393974304,
-0.06828081607818604,
-0.045300692319869995,
-0.02212964929640293,
0.010396596044301987,
-0.057554446160793304,
-0.029002858325839043,
-0.011741731315851212,
0.01898810639977455,
0.008656597696244717,
-0.044328723102808,
0.05460382625460625,
0.010847867466509342,
-0.004300094675272703,
0.019092246890068054,
-0.06817667931318283,
0.0216263085603714,
-0.017590900883078575,
0.0065521118231117725,
-0.00036530193756334484,
0.035789284855127335,
-0.0055758035741746426,
0.010969363152980804,
0.006387224420905113,
0.0089559992775321,
-0.028829291462898254,
0.013720382936298847,
0.014657638035714626,
0.004334807861596346,
-0.011168964207172394,
-0.028794579207897186,
0.01341664232313633,
-0.0037511924747377634,
0.0065000420436263084,
0.01420636661350727,
-0.011672304943203926,
0.019369952380657196,
0.036379408091306686,
0.013121580705046654,
-0.00980647187680006,
0.017964068800210953,
-0.0010538703063502908,
-0.004525730386376381,
-0.012054149992763996,
-0.008513405919075012,
0.023483462631702423,
-0.019942719489336014,
0.012435995042324066,
0.011811157688498497,
-0.00996268168091774,
-0.056964319199323654,
-0.010665623471140862,
0.0421765074133873,
-0.014189010486006737,
0.044502291828393936,
-0.01871040090918541,
0.01768636330962181,
0.010960685089230537,
-0.010978041216731071,
-0.0009811895433813334,
-0.02553153969347477,
0.019665013998746872,
0.011012754403054714,
0.030669091269373894,
-0.03342878818511963,
0.060678631067276,
0.007064131088554859,
-0.017530154436826706,
-0.07560529559850693,
-0.003165407571941614,
-0.032474175095558167,
0.000872168515343219,
-0.006031414028257132,
-0.01956087350845337,
-0.04276663064956665,
0.021747805178165436,
0.024837277829647064,
-0.002616505604237318,
0.028204454109072685,
0.0378720760345459,
-0.008101187646389008,
0.017825216054916382,
-0.028378020972013474,
-0.008031761273741722,
-0.017217734828591347,
0.014579533599317074,
-0.012288464233279228,
0.0035646092146635056,
-0.026468796655535698,
0.004799096379429102,
0.014674995094537735,
-0.019717084243893623,
-0.009320487268269062,
0.025965455919504166,
-0.04019785672426224,
0.018554192036390305,
0.016211053356528282,
0.021070897579193115,
-0.03020046278834343,
0.04231536015868187,
0.009103530086576939,
-0.0030308940913528204,
0.05699903517961502,
0.030408741906285286,
0.02638201229274273,
-0.026000168174505234,
0.005350168328732252,
0.00016800634330138564,
-0.002490670420229435,
-0.0013125919504091144,
0.020532842725515366,
-0.037004243582487106,
0.028846649453043938,
0.0237785242497921,
0.030530238524079323,
0.02683328464627266,
-0.05165320634841919,
-0.046515654772520065,
-0.012887266464531422,
-0.009459340013563633,
0.028690438717603683,
-0.008548119105398655,
-0.0011455347994342446,
0.007697646506130695,
0.012080185115337372,
-0.01621973142027855,
-0.0183979831635952,
0.03150220587849617,
-0.006803782191127539,
-0.018345912918448448,
0.002273713005706668,
0.030183106660842896,
-0.023882664740085602,
-0.005046427715569735,
0.004890218377113342,
-0.005528073292225599,
0.01734790951013565,
-0.012843875214457512,
-0.008248718455433846,
-0.0271109901368618,
0.03263038396835327,
0.03186669573187828,
0.033949486911296844,
-0.03377591818571091,
0.0014525294536724687,
0.017443370074033737,
0.005718995817005634,
-0.0156816765666008,
-0.025878671556711197,
-0.043148476630449295,
-0.045890819281339645,
0.0008830163860693574,
-0.02589602954685688,
-0.0035103699192404747,
0.03184933960437775,
0.0704677477478981,
-0.000600971863605082,
0.015325866639614105,
-0.005718995817005634,
-0.009120887145400047,
-0.00915560033172369,
0.07491103559732437,
0.006721338722854853,
0.0617547370493412,
0.005944631062448025,
0.03460903465747833,
-0.02669443190097809,
0.013347215950489044,
0.004768722224980593,
-0.04908442869782448,
0.03620584309101105,
-0.035928137600421906,
0.013121580705046654,
0.036275267601013184,
-0.03195347636938095,
-0.00421114219352603,
-0.011819835752248764,
-0.01933523826301098,
0.007875551469624043,
0.02405622974038124,
-0.0064783464185893536,
-0.024715781211853027,
-0.0639069527387619,
-0.03710838407278061,
0.04613380879163742,
0.00540657714009285,
0.029506199061870575,
0.06873209029436111,
0.009112208150327206,
-0.03388005867600441,
0.022285858169198036,
0.01146402582526207,
-0.0367959663271904,
-0.006053110118955374,
-0.0089559992775321,
-0.041759949177503586,
0.005319794174283743,
-0.010136247612535954,
0.01961294375360012,
0.01983857899904251,
0.010917293839156628,
0.031120361760258675,
-0.02422979660332203,
0.015334545634686947,
-0.08546383678913116
] |
A critical goal of autonomy and artificial intelligence is enabling
autonomous robots to rapidly adapt in dynamic and uncertain environments.
Classic adaptive control and safe control provide stability and safety
guarantees but are limited to specific system classes. In contrast, policy
adaptation based on reinforcement learning (RL) offers versatility and
generalizability but presents safety and robustness challenges. We propose
SafeDPA, a novel RL and control framework that simultaneously tackles the
problems of policy adaptation and safe reinforcement learning. SafeDPA jointly
learns adaptive policy and dynamics models in simulation, predicts environment
configurations, and fine-tunes dynamics models with few-shot real-world data. A
safety filter based on the Control Barrier Function (CBF) on top of the RL
policy is introduced to ensure safety during real-world deployment. We provide
theoretical safety guarantees of SafeDPA and show the robustness of SafeDPA
against learning errors and extra perturbations. Comprehensive experiments on
(1) classic control problems (Inverted Pendulum), (2) simulation benchmarks
(Safety Gym), and (3) a real-world agile robotics platform (RC Car) demonstrate
great superiority of SafeDPA in both safety and task performance, over
state-of-the-art baselines. Particularly, SafeDPA demonstrates notable
generalizability, achieving a 300% increase in safety rate compared to the
baselines, under unseen disturbances in real-world experiments. | [
0.022996338084340096,
-0.0187794491648674,
-0.03368150442838669,
-0.0074376268312335014,
0.05174622684717178,
0.0565706342458725,
-0.051817700266838074,
0.0031023614574223757,
-0.058571867644786835,
-0.0019275291124358773,
0.022906996309757233,
-0.04009617865085602,
0.060322947800159454,
-0.028749888762831688,
-0.007075796369463205,
0.03571847453713417,
-0.013669151812791824,
0.02026250772178173,
-0.0013903671642765403,
-0.04606414586305618,
0.02167409285902977,
-0.04856569319963455,
-0.03805920481681824,
0.07157989591360092,
0.01910107582807541,
0.03128717094659805,
0.02053052932024002,
0.007585038896650076,
-0.056213270872831345,
0.05153180658817291,
0.026087531819939613,
0.018940262496471405,
0.00523090735077858,
0.04409864917397499,
-0.030411629006266594,
-0.026855861768126488,
0.031215697526931763,
0.03373510763049126,
-0.027570590376853943,
0.062288448214530945,
-0.025640826672315598,
-0.004411205183714628,
-0.02490823157131672,
-0.012945490889251232,
0.011373091489076614,
0.026820126920938492,
-0.03713006153702736,
0.027427643537521362,
-0.03209123760461807,
0.029786242172122,
-0.04002470523118973,
-0.009952572174370289,
0.04867289960384369,
-0.004779736045747995,
-0.010220594704151154,
-0.0158580020070076,
0.037916261702775955,
0.0241041649132967,
0.04731491953134537,
-0.01174832321703434,
0.0013847833033651114,
-0.00820595771074295,
-0.05685652419924736,
0.009407592937350273,
-0.01039927639067173,
-0.048101119697093964,
0.04463469237089157,
-0.02631981670856476,
0.03235926106572151,
-0.04195446893572807,
-0.04935188964009285,
-0.020173165947198868,
-0.09748874604701996,
0.004891412332653999,
0.052032116800546646,
-0.011256948113441467,
0.013695954345166683,
0.04599267616868019,
0.002145297359675169,
0.024961836636066437,
0.042561985552310944,
0.0033413481432944536,
-0.04123974218964577,
-0.015339825302362442,
0.04584972932934761,
-0.02004808932542801,
0.06178813800215721,
-0.07050780951976776,
0.07476042956113815,
-0.040417805314064026,
-0.05596311390399933,
-0.0191725492477417,
0.0009257946512661874,
0.007620775606483221,
0.01451789028942585,
0.0017108775209635496,
-0.08090708404779434,
-0.003589269006624818,
-0.03037589229643345,
-0.009443328715860844,
-0.025480013340711594,
0.03909556195139885,
0.025676563382148743,
-0.009702417068183422,
0.022638974711298943,
-0.039738815277814865,
-0.08362304419279099,
0.04488484933972359,
-0.051353126764297485,
0.14158739149570465,
-0.004056075122207403,
0.0033301806543022394,
-0.040203388780355453,
0.07611840963363647,
-0.09613076597452164,
-0.0002071591152343899,
-0.0026690582744777203,
-0.09177093207836151,
0.03773757815361023,
-0.06271728128194809,
0.02267470955848694,
0.03598649799823761,
0.03032228723168373,
-0.05646342411637306,
-0.027427643537521362,
-0.014607231132686138,
0.05456939712166786,
-0.010184857994318008,
-0.01097105722874403,
0.009246778674423695,
-0.008094281889498234,
-0.0054542594589293,
-0.0252477265894413,
0.013722755946218967,
0.0337708443403244,
-0.003372617531567812,
-0.006361069157719612,
-0.024943968281149864,
-0.03411034122109413,
0.0006650310242548585,
0.01039927639067173,
-0.0028164705727249384,
-0.018064722418785095,
0.039738815277814865,
0.07404570281505585,
0.039595868438482285,
-0.0013054932933300734,
0.06118062138557434,
-0.019762197509407997,
0.03232352435588837,
-0.022871259599924088,
0.05339009687304497,
0.011864466592669487,
0.0027204290963709354,
0.06947145611047745,
0.020012352615594864,
-0.051496073603630066,
-0.002805303083732724,
0.004815472289919853,
-0.016510190442204475,
0.08741109818220139,
0.028732020407915115,
0.007370620965957642,
0.08269389718770981,
0.053854670375585556,
0.05778566747903824,
0.0031671335455030203,
-0.023014206439256668,
-0.0463143028318882,
0.04427732899785042,
-0.04534941911697388,
-0.04424159601330757,
0.004174451809376478,
0.02648063190281391,
0.02519412338733673,
0.013713821768760681,
0.03151945397257805,
0.026230476796627045,
-0.01579546369612217,
0.036361731588840485,
-0.04910173639655113,
0.006066244561225176,
0.02950035221874714,
0.03748742491006851,
0.025104781612753868,
0.04288361221551895,
0.03888114169239998,
0.004726131446659565,
0.018922394141554832,
-0.02349664643406868,
-0.022638974711298943,
0.03827362507581711,
0.017939643934369087,
0.005994771607220173,
-0.01721598394215107,
-0.03387805446982384,
-0.03044736571609974,
-0.0040337396785616875,
0.06007279455661774,
0.03759463503956795,
-0.029607560485601425,
-0.02154901623725891,
0.027034545317292213,
0.03221631422638893,
0.0014964593574404716,
0.014776978641748428,
0.01606348715722561,
0.012195027433335781,
0.029268065467476845,
-0.04281213879585266,
0.025980321690440178,
-0.0227640513330698,
-0.05832171440124512,
-0.04274066910147667,
-0.03198402747511864,
-0.02430071495473385,
-0.01693902723491192,
-0.0029571824707090855,
-0.025622958317399025,
-0.02699880860745907,
0.009318252094089985,
-0.015116473659873009,
-0.0014730074908584356,
0.0172785222530365,
-0.0657191351056099,
0.007071329280734062,
0.03909556195139885,
0.024479396641254425,
-0.028517602011561394,
0.022317346185445786,
-0.014187328517436981,
-0.030733255669474602,
0.05081707984209061,
0.03219844773411751,
0.017475072294473648,
0.03923850506544113,
-0.004748466890305281,
0.025015441700816154,
-0.004596587270498276,
0.020816421136260033,
-0.006553152110427618,
-0.01944057084619999,
0.004913747310638428,
-0.02417563647031784,
0.030286552384495735,
0.025140518322587013,
0.01776096224784851,
0.07097238302230835,
0.049995146691799164,
0.007710116449743509,
-0.023996954783797264,
0.014437482692301273,
-0.025819508358836174,
0.007352752611041069,
-0.02235308289527893,
0.025104781612753868,
0.006901581306010485,
-0.028124503791332245,
0.02849973365664482,
-0.0021296627819538116,
0.059572484344244,
-0.013955042697489262,
0.006441475823521614,
0.0314837209880352,
-0.044670429080724716,
0.025211991742253304,
0.009773890487849712,
0.11042530089616776,
0.041025321930646896,
-0.01902960240840912,
-0.03350282087922096,
-0.029786242172122,
-0.04120400547981262,
0.017162378877401352,
-0.006356602068990469,
-0.003930998034775257,
0.022728314623236656,
0.022192269563674927,
0.022799788042902946,
-0.0068033067509531975,
0.015384496189653873,
-0.03687990829348564,
0.02565869502723217,
-0.004788670223206282,
-0.006075178738683462,
-0.0811929777264595,
-0.04241904243826866,
-0.010667298920452595,
-0.05353304371237755,
0.027427643537521362,
-0.03327053785324097,
-0.025104781612753868,
-0.03003639727830887,
0.020030220970511436,
0.06164519488811493,
0.03870246186852455,
-0.010747705586254597,
-0.04202594235539436,
-0.001561231561936438,
0.006646960042417049,
-0.016787147149443626,
0.0029929187148809433,
0.05003088340163231,
0.025104781612753868,
0.04928041994571686,
-0.015715057030320168,
-0.0036964782048016787,
0.011623245663940907,
-0.006155585404485464,
-0.0025618490763008595,
-0.008063012734055519,
-0.014937791973352432,
-0.04059648886322975,
0.0034932277631014585,
-0.0025908849202096462,
0.05085281655192375,
0.01104253064841032,
0.017269589006900787,
-0.040810905396938324,
0.01073877140879631,
0.018037918955087662,
0.05935806781053543,
-0.03816641494631767,
0.01815406233072281,
0.022263742983341217,
-0.01999448426067829,
0.025372805073857307,
-0.011087200604379177,
-0.08383746445178986,
-0.0028097701724618673,
-0.02072707936167717,
-0.01228436827659607,
-0.09284302592277527,
-0.02910725213587284,
-0.006660361308604479,
-0.00523090735077858,
-0.059393804520368576,
0.021441806107759476,
-0.029071515426039696,
-0.04856569319963455,
-0.0011591976508498192,
-0.02072707936167717,
-0.018332744017243385,
-0.018109392374753952,
0.034539178013801575,
-0.041418422013521194,
-0.000033555170375620946,
0.0014473219634965062,
-0.03888114169239998,
-0.004205720964819193,
0.0008414792246185243,
-0.002474741777405143,
-0.022299479693174362,
0.00622705789282918,
0.06675548851490021,
-0.03300251439213753,
0.008938552811741829,
-0.03335987776517868,
-0.07383129000663757,
-0.05174622684717178,
0.04534941911697388,
-0.026176871731877327,
-0.06600502878427505,
0.019958747550845146,
-0.04299082234501839,
0.029929189011454582,
0.02274618297815323,
-0.018404217436909676,
0.020226771011948586,
0.05213932693004608,
-0.05950101464986801,
-0.004060542210936546,
0.03877393528819084,
0.005280044861137867,
-0.004909280221909285,
-0.029679033905267715,
-0.0035468321293592453,
0.010131253860890865,
-0.0241041649132967,
0.038845404982566833,
-0.015679320320487022,
0.0002970583736896515,
-0.01911894418299198,
0.03105488233268261,
-0.006620157975703478,
0.05510544404387474,
0.049602046608924866,
0.011185475625097752,
0.02038758434355259,
0.026051795110106468,
0.022781919687986374,
-0.04910173639655113,
-0.029857715591788292,
-0.02740977518260479,
0.02585524506866932,
-0.03773757815361023,
0.030090002343058586,
-0.0311263557523489,
0.019815802574157715,
-0.08155033737421036,
0.04356260225176811,
-0.01587587036192417,
-0.041346948593854904,
-0.0003006878250744194,
0.008907283656299114,
0.010318869724869728,
-0.020351847633719444,
-0.03848804160952568,
0.030572442337870598,
0.025944586843252182,
0.02444365993142128,
-0.03214484080672264,
0.010140188038349152,
0.01408011931926012,
0.03788052499294281,
0.019333362579345703,
0.004549683537334204,
0.04320523887872696,
-0.005597204901278019,
-0.045206476002931595,
-0.012150357477366924,
0.037022851407527924,
0.044598959386348724,
-0.015983080491423607,
-0.051281653344631195,
0.049602046608924866,
-0.01225756574422121,
0.016027750447392464,
-0.028982175514101982,
-0.034717857837677,
0.028732020407915115,
0.035271771252155304,
0.037022851407527924,
-0.038380835205316544,
-0.029625428840517998,
0.02606966346502304,
0.017269589006900787,
0.02288912795484066,
-0.017734160646796227,
0.019762197509407997,
-0.01742146722972393,
-0.03525390475988388,
-0.02673078514635563,
-0.004076176788657904,
-0.006151118315756321,
-0.04760080948472023,
0.048244066536426544,
-0.017108775675296783,
-0.017519742250442505,
-0.01849355734884739,
-0.06965013593435287,
0.027445511892437935,
-0.04170431196689606,
-0.015965212136507034,
-0.012034214101731777,
-0.01239157747477293,
0.0015400131233036518,
-0.026695048436522484,
0.01309737004339695,
-0.034878671169281006,
0.06768463551998138,
0.014205196872353554,
0.01693902723491192,
-0.04181152209639549,
0.07540368288755417,
0.0607517845928669,
-0.011784059926867485,
-0.06325332820415497,
0.006839042995125055,
0.015956277027726173,
0.04874437302350998,
-0.04752933606505394,
0.0641467347741127,
0.015080736950039864,
-0.0051013631746172905,
0.042311832308769226,
0.0007063511875458062,
-0.04699329286813736,
0.03012573905289173,
-0.01363341510295868,
-0.010363539680838585,
0.00969348382204771,
0.03632599487900734,
-0.061216358095407486,
0.013990778475999832,
0.008098749443888664,
0.039595868438482285,
-0.014937791973352432,
-0.044670429080724716,
0.02553361840546131,
-0.007647577673196793,
-0.030483102425932884,
-0.04113253206014633,
-0.008581189438700676,
0.003774651326239109,
-0.01350833848118782,
-0.00025462143821641803,
-0.019494175910949707,
0.12314744293689728,
0.009273581206798553,
0.03139437735080719,
-0.044134385883808136,
-0.034199681133031845,
-0.00005831585076521151,
-0.00039058708352968097,
0.007317016366869211,
0.00810321606695652,
-0.0024658078327775,
0.0013200112152844667,
-0.008625860325992107,
0.015652518719434738,
0.04306229576468468,
-0.026016058400273323,
-0.018993867561221123,
-0.008456112816929817,
0.0040315063670277596,
0.010363539680838585,
-0.013016963377594948,
0.02422924153506756,
0.032109104096889496,
0.001341229653917253,
0.04524221271276474,
0.004417905583977699,
0.006200255826115608,
-0.006883713416755199,
0.03491440787911415,
0.016492322087287903,
-0.04266919568181038,
0.033860187977552414,
0.003059924580156803,
-0.005445325281471014,
0.061287831515073776,
-0.023925483226776123,
-0.04795817285776138,
-0.040953852236270905,
-0.017537610605359077,
0.03570060804486275,
0.03477146476507187,
-0.00928251538425684,
-0.004668059758841991,
-0.05503397062420845,
0.04978072643280029,
0.013999712653458118,
0.02045905776321888,
0.028928570449352264,
0.001601434894837439,
0.0007214274373836815,
-0.006405739579349756,
0.018547162413597107,
0.028982175514101982,
0.011364157311618328,
-0.003826022380962968,
-0.011775125749409199,
0.04931615665555,
0.002188851125538349,
-0.03713006153702736,
-0.026176871731877327,
0.01073877140879631,
0.011560707353055477,
-0.05106723681092262,
-0.003026421647518873,
-0.014696571975946426,
0.004295061808079481,
0.0014584895689040422,
-0.009523735381662846,
-0.045135002583265305,
0.03128717094659805,
0.05339009687304497,
0.04227609559893608,
0.003122463123872876,
-0.03877393528819084,
-0.013821030966937542,
-0.0093897245824337,
-0.013615546748042107,
0.02053052932024002,
0.0008342202636413276,
-0.006955185905098915,
0.0055748699232935905,
-0.04206167533993721,
-0.0032051033340394497,
-0.023657459765672684,
-0.02964329719543457,
0.02587311342358589,
0.011792993173003197,
0.009961506351828575,
0.020709211006760597,
-0.04549236595630646,
-0.018386349081993103,
0.0056954799219965935,
-0.033181194216012955,
-0.005802689120173454,
0.021173784509301186,
0.023925483226776123,
0.0261947400867939,
-0.03125143423676491,
-0.022031456232070923,
0.01843995414674282,
0.004699329379945993,
-0.020512660965323448,
-0.0811929777264595,
0.0003498253063298762,
0.009970439597964287,
-0.012534522451460361,
0.02694520354270935,
-0.025497881695628166,
0.024604473263025284,
0.007227675523608923,
-0.010988925583660603,
-0.01415159273892641,
0.008563321083784103,
0.021906379610300064,
0.03584355488419533,
0.009398658759891987,
-0.033395614475011826,
0.031179960817098618,
0.012954425066709518,
0.03498588129878044,
0.010837046429514885,
-0.006789905484765768,
0.003589269006624818,
-0.01286508422344923,
-0.02140606939792633,
0.026230476796627045,
-0.024622341617941856,
-0.03577208146452904,
0.009613076224923134,
0.02823171205818653,
-0.024818891659379005,
-0.007723517250269651,
0.0007465545786544681,
0.00013114958710502833,
0.033931657671928406,
0.004353133495897055,
-0.0375588983297348,
-0.0038014536257833242,
0.007424225565046072,
-0.008112150244414806,
0.04731491953134537,
-0.010301001369953156,
0.012096752412617207,
-0.0292323287576437,
-0.009291449561715126,
0.0005840658559463918,
0.04266919568181038,
-0.016912225633859634,
0.009657747112214565,
0.030911937355995178,
-0.018582899123430252,
0.04120400547981262,
0.029268065467476845,
-0.0398460254073143,
0.017519742250442505,
0.02322862297296524,
0.042561985552310944,
-0.005610606167465448,
-0.01607242040336132,
0.008197023533284664,
0.002205602591857314,
-0.014741241931915283,
0.03509309142827988,
0.004945016466081142,
-0.011730454862117767,
0.0071204667910933495,
0.014508956111967564,
0.01714451052248478,
0.003439623164013028,
0.06418247520923615,
0.046564456075429916,
0.02187064290046692,
0.0519963800907135,
-0.020476926118135452,
-0.018850920721888542,
-0.021959982812404633,
0.03680843487381935,
0.022513896226882935,
-0.014535757713019848,
0.03805920481681824,
0.05260390043258667,
0.03051883727312088,
-0.03159092739224434,
-0.0078083910048007965,
-0.0292323287576437,
-0.02830318547785282,
0.02490823157131672,
-0.027106016874313354,
-0.0070891971699893475,
-0.005838425364345312,
0.010256330482661724,
-0.04006044194102287,
0.04045354202389717,
-0.0811929777264595,
-0.024264978244900703,
0.010274198837578297,
-0.00941652711480856,
-0.012400511652231216,
-0.00152772874571383,
-0.034253284335136414,
-0.040739431977272034,
0.024050559848546982,
0.02544427663087845,
-0.023049941286444664,
-0.022585369646549225,
-0.006847977172583342,
0.029000043869018555,
0.08169328421354294,
-0.035146694630384445,
0.0019398134900256991,
0.010086582973599434,
0.0059322332963347435,
0.010551155544817448,
0.028589075431227684,
0.04713623970746994,
-0.028481867164373398,
0.027195358648896217,
0.032180577516555786,
0.04145415872335434,
0.0037411486264318228,
-0.04731491953134537,
-0.011828729882836342,
0.03105488233268261,
0.0039846021682024,
-0.0021017438266426325,
-0.010497551411390305,
-0.022317346185445786,
-0.04123974218964577,
-0.019815802574157715,
-0.010256330482661724,
-0.034610647708177567,
-0.02060200273990631,
-0.013213513419032097,
0.045135002583265305,
-0.035754211246967316,
-0.014178394339978695,
-0.013579810969531536,
0.023550251498818398,
-0.003502161707729101,
0.031769610941410065,
0.0013613313203677535,
0.005771419499069452,
-0.019565649330615997,
0.034807197749614716,
-0.022370951250195503,
0.07783375680446625,
0.024801023304462433,
-0.018082590773701668,
0.01505393534898758,
-0.020977234467864037,
0.025569355115294456,
-0.0023675328120589256,
-0.022120798006653786,
0.04066795855760574,
0.006499547511339188,
0.02587311342358589,
-0.021102311089634895,
-0.03078686073422432,
0.021173784509301186,
-0.00734381889924407,
0.01144456397742033,
-0.018261272460222244,
0.03025081567466259,
-0.013142040930688381,
0.0695071890950203,
-0.011364157311618328,
0.014821648597717285,
0.01890452578663826,
-0.04427732899785042,
0.010783442296087742,
-0.010015110485255718,
0.014714439399540424,
-0.003191702300682664,
0.040203388780355453,
-0.014017581008374691,
0.021370334550738335,
-0.027534853667020798,
0.010336737148463726,
0.006874779239296913,
-0.011131871491670609,
0.007875396870076656,
-0.024336449801921844,
0.023478778079152107,
-0.015170077793300152,
-0.0038639921694993973,
-0.05828597769141197,
0.028178106993436813,
-0.0025663161650300026,
0.018725844100117683,
-0.030804729089140892,
-0.01963712088763714,
0.027034545317292213,
-0.01869010739028454,
0.02296060137450695,
0.002671291818842292,
-0.019869407638907433,
0.02592671848833561,
0.04431306570768356,
0.0062091900035738945,
-0.03998896852135658,
0.026569971814751625,
0.011096134781837463,
-0.027999425306916237,
-0.027534853667020798,
-0.018743712455034256,
-0.0037143463268876076,
0.030894069001078606,
-0.004945016466081142,
0.00523090735077858,
0.005833958275616169,
-0.006638025864958763,
-0.02640915848314762,
0.003066624980419874,
0.01951204426586628,
-0.006392338778823614,
-0.01600094884634018,
-0.0033190129324793816,
-0.045135002583265305,
-0.0069283838383853436,
0.029857715591788292,
0.030340155586600304,
-0.022192269563674927,
-0.032252050936222076,
-0.0261947400867939,
-0.040953852236270905,
-0.03659401834011078,
0.02849973365664482,
-0.006830108817666769,
-0.042311832308769226,
0.013999712653458118,
0.0010659481631591916,
0.03570060804486275,
-0.004290594719350338,
0.033860187977552414,
0.07265198975801468,
-0.0031649000011384487,
0.003942165523767471,
-0.029071515426039696,
-0.002937080804258585,
0.04606414586305618,
0.02322862297296524,
0.027177490293979645,
0.016635268926620483,
0.01140882819890976,
0.002331796567887068,
-0.037308745086193085,
-0.02310354635119438,
-0.025158386677503586,
-0.03441409766674042,
0.010953189805150032,
0.016447652131319046,
-0.007379555143415928,
-0.01972646266222,
-0.0006097513833083212,
-0.0026578905526548624,
0.014669769443571568,
0.010006176307797432,
-0.04166857898235321,
0.040739431977272034,
0.03235926106572151,
0.02558722160756588,
-0.022978469729423523,
-0.028535470366477966,
-0.01262386329472065,
0.042776405811309814,
0.008701799437403679,
-0.0023228623904287815,
0.022567501291632652,
0.014973528683185577,
0.00019654989591799676,
-0.04199020564556122,
0.0021977850701659918,
-0.058500394225120544,
0.021566884592175484,
0.032913174480199814,
-0.016528058797121048,
0.038988351821899414,
-0.009720285423099995,
0.029947057366371155,
0.0258016400039196,
-0.026355553418397903,
-0.006003705784678459,
-0.019797934219241142,
-0.002365299267694354,
0.016108157113194466,
0.05449792370200157,
-0.025354936718940735,
0.03300251439213753,
-0.020083826035261154,
-0.008549920283257961,
-0.03863098844885826,
-0.015536375343799591,
-0.026033926755189896,
-0.0032073368784040213,
0.010667298920452595,
-0.010426077991724014,
-0.027320435270667076,
0.04835127294063568,
0.03137651085853577,
-0.02767779864370823,
0.01870797574520111,
-0.039131298661231995,
0.004449174739420414,
-0.011721520684659481,
-0.016045618802309036,
-0.013124172575771809,
-0.012918688356876373,
0.0018772748298943043,
0.011480300687253475,
0.010837046429514885,
0.0029906854033470154,
0.05449792370200157,
-0.027927953749895096,
-0.015473837032914162,
-0.023317964747548103,
0.010327803902328014,
0.010497551411390305,
0.05521265044808388,
0.0068033067509531975,
-0.032448600977659225,
-0.04609988257288933,
0.03489654138684273,
-0.020780684426426888,
-0.0005103596486151218,
-0.042633458971977234,
-0.039524395018815994,
0.04013191536068916,
-0.02762419357895851,
0.024622341617941856,
-0.005208572372794151,
0.004375468473881483,
-0.005985837429761887,
0.017796698957681656,
-0.00570441409945488,
0.02397908642888069,
-0.019458439201116562,
-0.011480300687253475,
0.01363341510295868,
0.024354318156838417,
-0.03300251439213753,
-0.037773314863443375,
-0.025837376713752747,
0.005610606167465448,
-0.030018528923392296,
-0.03437836468219757,
0.0026690582744777203,
-0.0077279843389987946,
0.024550868198275566,
-0.00810321606695652,
0.03221631422638893,
0.024693813174962997,
0.004145415965467691,
0.004225822631269693,
-0.02079855278134346,
-0.03948866203427315,
0.016215365380048752,
-0.044205859303474426,
-0.03141224756836891,
0.004060542210936546,
-0.015786530449986458,
-0.012713204137980938,
-0.03748742491006851,
0.06443262845277786,
-0.03259154409170151,
0.014419615268707275,
-0.0208700243383646,
-0.020173165947198868,
-0.015348759479820728,
0.03216271102428436,
-0.0046591260470449924,
-0.016626333817839622,
-0.06325332820415497,
0.01326711755245924,
-0.015509573742747307,
-0.025837376713752747,
0.033788714557886124,
0.007518033497035503,
-0.005311314016580582,
0.038666725158691406,
-0.014303471893072128,
-0.0508885532617569,
-0.058500394225120544,
-0.016974763944745064,
0.03577208146452904,
-0.0212631244212389,
0.026444895192980766,
-0.017939643934369087,
-0.011221212334930897,
-0.01458042860031128,
0.008969821967184544,
0.004806538112461567,
0.022192269563674927,
-0.014312406070530415,
-0.016224300488829613,
-0.028517602011561394,
0.0290357805788517,
-0.05860760435461998,
0.0041833859868347645,
-0.05174622684717178,
-0.00958627462387085,
-0.015455968677997589,
0.029285933822393417,
-0.004250391386449337,
-0.008523117750883102,
-0.004129781387746334,
-0.015509573742747307,
0.04098958522081375,
0.05660637095570564,
-0.020280376076698303,
0.06782758235931396,
0.007656511850655079,
-0.014231999404728413,
-0.019226152449846268,
-0.04949483647942543,
-0.032841701060533524,
-0.007209807634353638,
-0.003153732279315591,
-0.014884186908602715,
0.012078884057700634,
-0.06089473143219948,
-0.03128717094659805,
-0.022996338084340096,
-0.021084442734718323,
0.0417400486767292,
-0.022853391245007515,
0.03938145190477371,
-0.0070891971699893475
] |
In this paper, we investigate the convergence properties of a wide class of
Adam-family methods for minimizing quadratically regularized nonsmooth
nonconvex optimization problems, especially in the context of training
nonsmooth neural networks with weight decay. Motivated by the AdamW method, we
propose a novel framework for Adam-family methods with decoupled weight decay.
Within our framework, the estimators for the first-order and second-order
moments of stochastic subgradients are updated independently of the weight
decay term. Under mild assumptions and with non-diminishing stepsizes for
updating the primary optimization variables, we establish the convergence
properties of our proposed framework. In addition, we show that our proposed
framework encompasses a wide variety of well-known Adam-family methods, hence
offering convergence guarantees for these methods in the training of nonsmooth
neural networks. More importantly, we show that our proposed framework
asymptotically approximates the SGD method, thereby providing an explanation
for the empirical observation that decoupled weight decay enhances
generalization performance for Adam-family methods. As a practical application
of our proposed framework, we propose a novel Adam-family method named Adam
with Decoupled Weight Decay (AdamD), and establish its convergence properties
under mild conditions. Numerical experiments demonstrate that AdamD outperforms
Adam and is comparable to AdamW, in the aspects of both generalization
performance and efficiency. | [
-0.016179271042346954,
0.012320226989686489,
-0.04428188502788544,
-0.016077939420938492,
0.050800882279872894,
0.0391477532684803,
-0.018965886905789375,
0.021583618596196175,
-0.03213898837566376,
0.011340688914060593,
0.010648257099092007,
0.0018039126880466938,
0.038607317954301834,
-0.031395889818668365,
0.011138025671243668,
0.020131200551986694,
0.03864109516143799,
-0.02230982854962349,
0.049280907958745956,
-0.0839025229215622,
0.021178293973207474,
-0.0432010143995285,
-0.012303338386118412,
0.027747955173254013,
0.051949307322502136,
0.0383371002972126,
0.0013985864352434874,
0.0021511842496693134,
-0.044923651963472366,
0.05917762219905853,
-0.004885024856775999,
-0.0005248657544143498,
-0.019134772941470146,
-0.053232837468385696,
-0.05704966187477112,
0.014279304072260857,
0.10106132924556732,
0.12247606366872787,
-0.019134772941470146,
0.038370877504348755,
-0.032493650913238525,
-0.02219160832464695,
-0.03830332309007645,
0.015942830592393875,
0.030872344970703125,
-0.00026652307133190334,
-0.003945596981793642,
0.026515087112784386,
-0.014034419320523739,
0.01869567111134529,
-0.025940876454114914,
-0.05292884632945061,
-0.022377382963895798,
-0.018780114129185677,
0.024302681908011436,
0.010462482459843159,
0.03369273990392685,
0.02131340280175209,
0.052591074258089066,
-0.007046764716506004,
0.02869371697306633,
0.0045768083073198795,
-0.05319906026124954,
-0.0023601807188242674,
-0.03450339287519455,
-0.003856932045891881,
0.02398180030286312,
-0.021212071180343628,
0.013629092834889889,
0.0056492337025702,
-0.09403567761182785,
0.02224227413535118,
-0.016517041251063347,
0.015495282597839832,
-0.0031539443880319595,
-0.020418306812644005,
0.061710912734270096,
0.038134437054395676,
0.04593696817755699,
-0.015959719195961952,
0.03043324127793312,
0.005543679930269718,
-0.02990969456732273,
0.0017638022545725107,
0.05066577345132828,
-0.030416352674365044,
-0.039992183446884155,
-0.035702481865882874,
0.086402028799057,
-0.01859433948993683,
-0.06505485624074936,
0.00958427507430315,
-0.010715811513364315,
0.000126928323879838,
-0.01566416770219803,
0.02095874212682247,
-0.06063004210591316,
0.0026557310484349728,
-0.031801216304302216,
-0.013350430876016617,
-0.044349439442157745,
-0.0019052441930398345,
0.014574853703379631,
-0.010352706536650658,
0.013882421888411045,
-0.039586856961250305,
-0.002292626304551959,
0.01385708898305893,
0.035702481865882874,
0.14429612457752228,
0.009998045861721039,
0.05130754038691521,
-0.045396532863378525,
0.05188175290822983,
-0.049280907958745956,
0.03288208693265915,
-0.056610558182001114,
-0.08910420536994934,
0.014059752225875854,
-0.0540434904396534,
0.004065928515046835,
0.054989252239465714,
0.003628936130553484,
0.044518325477838516,
-0.025974653661251068,
-0.0011579240672290325,
0.007198762148618698,
-0.0014154750388115644,
-0.010369595140218735,
-0.015410839579999447,
-0.000729376042727381,
-0.023204924538731575,
-0.014270859770476818,
0.00724520580843091,
0.01327443215996027,
-0.012168229557573795,
0.08991485834121704,
-0.040228623896837234,
-0.012818440794944763,
-0.04570052772760391,
0.012294894084334373,
-0.03641180321574211,
-0.028507942333817482,
0.03698601573705673,
0.026734638959169388,
0.009229615330696106,
0.025518661364912987,
0.020435195416212082,
-0.006806102115660906,
0.0516790896654129,
-0.036209139972925186,
0.035060714930295944,
-0.033371854573488235,
0.053232837468385696,
0.03641180321574211,
-0.010758032090961933,
0.019489433616399765,
-0.04252547398209572,
0.004644362721592188,
-0.043133459985256195,
0.03904642164707184,
0.005581679288297892,
-0.005927895661443472,
0.0411406084895134,
0.017733020707964897,
-0.01095225103199482,
0.008482295088469982,
-0.0003662713279481977,
-0.08086257427930832,
0.0286430511623621,
0.023745359852910042,
-0.05093599110841751,
-0.005193241871893406,
-0.02119518257677555,
-0.019945425912737846,
0.05752254277467728,
0.0008834844338707626,
-0.011636239476501942,
-0.00909450650215149,
0.07593110203742981,
-0.019996091723442078,
-0.008288076147437096,
0.018830779939889908,
0.017699243500828743,
0.03739134222269058,
0.000732014887034893,
0.024775562807917595,
0.02293470688164234,
0.026379980146884918,
-0.041681043803691864,
0.002917504170909524,
0.0018165790243074298,
0.033253636211156845,
0.018847668543457985,
-0.0029322816990315914,
-0.02469111979007721,
-0.011720682494342327,
-0.029132818803191185,
-0.006776547059416771,
-0.03364207223057747,
-0.007933415472507477,
-0.08667224645614624,
0.047828491777181625,
-0.01107047125697136,
0.013249100185930729,
-0.0009563164785504341,
-0.0355335958302021,
-0.08113279193639755,
0.07289116084575653,
-0.026278648525476456,
-0.029774585738778114,
-0.04205259308218956,
-0.03055146150290966,
-0.03529715538024902,
-0.0034473836421966553,
-0.05029422417283058,
0.008545626886188984,
-0.0006686826818622649,
-0.007422535680234432,
-0.0068314350210130215,
-0.033439408987760544,
-0.01585838757455349,
0.048064928501844406,
0.0371549017727375,
0.010496259666979313,
0.0051552425138652325,
0.01469307392835617,
-0.03884375840425491,
-0.022985372692346573,
0.010639812797307968,
0.015419283881783485,
-0.013004215434193611,
0.00488080270588398,
0.007886972278356552,
-0.03992462903261185,
-0.007929193787276745,
0.01551217120140791,
0.01840856485068798,
0.012767774984240532,
-0.032730091363191605,
-0.06434553116559982,
-0.0673854798078537,
-0.007198762148618698,
-0.05731987953186035,
-0.019320547580718994,
0.03810065984725952,
-0.01301265973597765,
0.03335496783256531,
0.0329158641397953,
0.0007135429768823087,
-0.04181615263223648,
0.003356607398018241,
-0.040397509932518005,
0.0173614714294672,
-0.048943135887384415,
-0.019100995734333992,
-0.016035716980695724,
-0.049348462373018265,
0.0085709597915411,
0.017986349761486053,
0.09092817455530167,
0.014971735887229443,
-0.024150684475898743,
0.03457094728946686,
0.06086648255586624,
-0.024708008393645287,
0.03252742812037468,
0.01475218404084444,
0.052016861736774445,
0.018611228093504906,
-0.00397726334631443,
-0.008722957223653793,
-0.02335692197084427,
-0.03158166632056236,
-0.02452223375439644,
-0.02171872742474079,
0.02607598528265953,
-0.0028393943794071674,
0.027798620983958244,
0.004745693877339363,
0.01778368651866913,
-0.021921390667557716,
0.005328350700438023,
-0.01176290400326252,
0.021110739558935165,
-0.047254279255867004,
-0.05833319202065468,
0.009592719376087189,
-0.0007647364982403815,
-0.025704436004161835,
0.004568364005535841,
-0.0012961993925273418,
-0.024420902132987976,
0.007439424283802509,
0.013401096686720848,
-0.025518661364912987,
-0.040059737861156464,
-0.02160050719976425,
0.002666286425665021,
-0.04867291823029518,
-0.026633307337760925,
0.00833451934158802,
0.05164531245827675,
0.0098798256367445,
-0.004771026782691479,
-0.0016941367648541927,
0.010521592572331429,
0.01588371954858303,
-0.006696326192468405,
0.0038062662351876497,
-0.003932930529117584,
0.028271501883864403,
-0.004817470442503691,
0.0009505110210739076,
-0.04364011809229851,
0.009043840691447258,
0.03884375840425491,
0.017749909311532974,
-0.047085393220186234,
-0.02323870174586773,
0.008123412728309631,
0.017412137240171432,
-0.1025475263595581,
-0.05053066462278366,
0.02898082323372364,
-0.02533288672566414,
0.005636567249894142,
0.0006238223286345601,
-0.07518801093101501,
0.045565418899059296,
-0.04478854313492775,
-0.0435725636780262,
-0.031210117042064667,
-0.01051314827054739,
-0.00897628627717495,
0.010504703968763351,
0.009677162393927574,
0.013409540988504887,
-0.004787915386259556,
-0.044585879892110825,
0.01778368651866913,
-0.030365686863660812,
0.004450143780559301,
0.004648584872484207,
-0.023677805438637733,
-0.028609273955225945,
-0.022259162738919258,
-0.03242609649896622,
-0.0005800175713375211,
-0.026700861752033234,
0.0007494312594644725,
-0.01618771441280842,
0.022225385531783104,
0.02119518257677555,
0.025248443707823753,
-0.057826537638902664,
0.03411495313048363,
0.03512826934456825,
-0.01606949418783188,
0.0022799598518759012,
0.02457289956510067,
-0.03843843191862106,
-0.01231178268790245,
-0.027342628687620163,
-0.03783044591546059,
-0.04070150479674339,
-0.03404739871621132,
-0.020181866362690926,
-0.015723278746008873,
0.0020910187158733606,
-0.003430495038628578,
0.002148017752915621,
0.01759791187942028,
0.029673254117369652,
0.027916841208934784,
0.008765178732573986,
-0.03364207223057747,
-0.017158808186650276,
-0.021701838821172714,
0.03735756501555443,
-0.04732183367013931,
-0.016609929502010345,
0.02822083607316017,
0.01766546629369259,
0.029369259253144264,
-0.020468972623348236,
-0.013603759929537773,
0.019540099427103996,
0.08417274057865143,
-0.016035716980695724,
0.008304964751005173,
-0.04995645210146904,
0.06559529155492783,
-0.006029226817190647,
0.024775562807917595,
-0.024758674204349518,
0.011492686346173286,
0.006514774169772863,
0.01158557366579771,
-0.01004871167242527,
-0.005661900155246258,
-0.04803115129470825,
0.016517041251063347,
-0.05586745962500572,
0.026295537129044533,
0.05360438674688339,
-0.04860536381602287,
-0.008967841975390911,
0.05826563760638237,
-0.0012930327793583274,
0.009550497867166996,
0.02800128422677517,
-0.030365686863660812,
0.03234165161848068,
0.03043324127793312,
0.006540107075124979,
-0.04624096304178238,
-0.0003644241369329393,
0.04654495790600777,
0.012843773700296879,
-0.01776679791510105,
-0.003612047526985407,
0.09829159826040268,
0.0252146665006876,
-0.03176743909716606,
-0.0007504867389798164,
-0.0012423669686540961,
-0.053874604403972626,
0.035871367901563644,
0.016719704493880272,
0.05455014854669571,
0.01390775479376316,
0.05650922656059265,
-0.05421237647533417,
-0.00007863750215619802,
-0.02004675753414631,
-0.01731080561876297,
0.004961023572832346,
0.0006575995357707143,
0.05292884632945061,
0.04512631520628929,
-0.04134327173233032,
0.0056112343445420265,
0.01443130150437355,
-0.00932250265032053,
-0.020519638434052467,
-0.0006053504184819758,
0.008389407768845558,
-0.05046311020851135,
-0.03136211261153221,
-0.09275214374065399,
0.017581023275852203,
-0.017530357465147972,
-0.04901069030165672,
0.014245526865124702,
-0.015748610720038414,
0.004872358404099941,
0.010994472540915012,
0.03529715538024902,
-0.06204868480563164,
0.02497822605073452,
0.004078594967722893,
0.002193405758589506,
-0.020198754966259003,
0.009102950803935528,
0.026379980146884918,
-0.004640140570700169,
-0.08221366256475449,
-0.03340563178062439,
0.014473523013293743,
0.03769533708691597,
-0.04384278133511543,
0.01800323836505413,
0.03239231929183006,
0.05303017422556877,
0.001890466664917767,
-0.05036177858710289,
-0.09808893501758575,
0.05049688741564751,
0.0015051956288516521,
0.05569857358932495,
-0.0213809572160244,
0.030247466638684273,
-0.011442020535469055,
-0.05576612800359726,
0.006903211586177349,
0.06647349148988724,
0.02317114733159542,
0.017150364816188812,
-0.010023378767073154,
-0.006033448968082666,
0.02561999298632145,
-0.032561205327510834,
-0.026633307337760925,
-0.007304315455257893,
-0.0069707660004496574,
0.016035716980695724,
-0.04424810782074928,
0.11072160303592682,
0.003588825697079301,
0.05512436106801033,
0.008271187543869019,
-0.033253636211156845,
-0.015706390142440796,
0.0496186800301075,
-0.009001619182527065,
0.0013764201430603862,
0.011678460985422134,
0.0057505653239786625,
0.014068196527659893,
0.03762778267264366,
0.013730424456298351,
-0.040633950382471085,
-0.04553164169192314,
0.014465078711509705,
-0.03055146150290966,
0.05198308452963829,
0.007401424925774336,
-0.009406945668160915,
0.049922674894332886,
-0.01333354227244854,
-0.006261445116251707,
-0.01617082580924034,
0.042018815875053406,
-0.020722301676869392,
0.05998827517032623,
0.010352706536650658,
0.013941532000899315,
0.07079697400331497,
0.03435139358043671,
0.0015611391281709075,
0.02295159548521042,
-0.03090612217783928,
-0.06600061058998108,
-0.011948678642511368,
-0.004154593218117952,
-0.055394578725099564,
-0.0007262094295583665,
0.018087681382894516,
0.03141278028488159,
0.01408508513122797,
0.06846635043621063,
0.010850919410586357,
0.03114256262779236,
0.05279373750090599,
-0.0010291484650224447,
0.027747955173254013,
-0.03847220912575722,
-0.020772967487573624,
0.06269045174121857,
-0.00353604881092906,
-0.0589074045419693,
-0.026498200371861458,
0.023829802870750427,
-0.0016434710705652833,
0.012970438227057457,
-0.0012676998740062118,
0.04343745484948158,
0.00032431373256258667,
-0.024674231186509132,
-0.0032109434250742197,
-0.021701838821172714,
0.0008000970119610429,
-0.05833319202065468,
0.0008022080874070525,
-0.012168229557573795,
0.013696647249162197,
0.04543031007051468,
0.00860895961523056,
0.030855456367135048,
-0.011509574949741364,
-0.0347229428589344,
-0.016660595312714577,
0.009694050997495651,
-0.018138347193598747,
0.00017482330440543592,
-0.0032236098777502775,
-0.018948998302221298,
0.00801363680511713,
-0.0065485513769090176,
0.061136700212955475,
-0.04921335354447365,
0.0009837604593485594,
0.008592071011662483,
0.002410846296697855,
-0.001844023005105555,
-0.0339122898876667,
-0.012438447214663029,
-0.02793372981250286,
-0.05522569268941879,
0.021701838821172714,
0.007300093304365873,
0.009238059632480145,
-0.0003309108433313668,
-0.029994137585163116,
-0.019675208255648613,
0.009026952087879181,
-0.014448190107941628,
0.029707031324505806,
-0.03600647673010826,
0.019472545012831688,
-0.058468300849199295,
0.00970249529927969,
0.02154984138906002,
-0.0347229428589344,
-0.0321052111685276,
0.02578887902200222,
0.003413606435060501,
-0.009288725443184376,
-0.016483264043927193,
-0.01033581793308258,
0.006177002098411322,
-0.008279631845653057,
-0.03364207223057747,
0.025923987850546837,
-0.014186416752636433,
-0.007625198923051357,
-0.007599866017699242,
0.005488791968673468,
0.03495938330888748,
0.0012803663266822696,
-0.0009853437077254057,
0.025012003257870674,
0.010943806730210781,
0.01521662063896656,
0.015934385359287262,
-0.03566870465874672,
0.012556667439639568,
0.004395255818963051,
-0.026396868750452995,
-0.042491696774959564,
-0.01783435232937336,
-0.0059363399632275105,
0.009238059632480145,
0.016390377655625343,
-0.005919451359659433,
0.015681056305766106,
-0.04705161601305008,
-0.025940876454114914,
0.026734638959169388,
-0.04090416803956032,
0.01077492069453001,
0.01957387663424015,
0.0030906121246516705,
-0.019607653841376305,
0.006248778663575649,
0.03887753561139107,
0.017184142023324966,
0.040228623896837234,
0.01776679791510105,
-0.01688014715909958,
0.005522569175809622,
0.008368296548724174,
0.03847220912575722,
-0.00439947796985507,
-0.010986028239130974,
0.05725232511758804,
0.021228959783911705,
0.02411690726876259,
0.007148096337914467,
0.012396225705742836,
-0.02352580800652504,
0.0027127298526465893,
0.024539122357964516,
0.02219160832464695,
-0.03132833540439606,
0.03948552533984184,
0.049348462373018265,
0.03158166632056236,
0.06400775909423828,
-0.0049694678746163845,
-0.015469949692487717,
-0.018087681382894516,
-0.014785961247980595,
0.026396868750452995,
-0.020181866362690926,
-0.032037656754255295,
0.066574826836586,
0.028541719540953636,
-0.021448511630296707,
0.014422857202589512,
0.02561999298632145,
-0.029419925063848495,
0.006873656529933214,
-0.04073528200387955,
-0.0005673511186614633,
0.023897357285022736,
-0.0371549017727375,
-0.03124389424920082,
-0.03489182889461517,
0.013021104037761688,
-0.03678335249423981,
0.022850263863801956,
-0.0013415873982012272,
-0.014177972450852394,
0.05134131759405136,
-0.014287748374044895,
-0.012742442078888416,
-0.002748618135228753,
0.012421558611094952,
0.023948023095726967,
-0.023204924538731575,
0.025231555104255676,
0.017395248636603355,
0.031176339834928513,
-0.029673254117369652,
0.0001460599305573851,
0.021127628162503242,
-0.01869567111134529,
0.03200387954711914,
0.04634229466319084,
0.03955307975411415,
-0.035634927451610565,
0.019506322219967842,
0.030281243845820427,
-0.031868770718574524,
0.004382589366286993,
-0.0036732684820890427,
-0.017918795347213745,
0.024150684475898743,
0.00144080794416368,
0.028322167694568634,
0.0187632255256176,
-0.02631242573261261,
0.005370571743696928,
0.017986349761486053,
-0.010884696617722511,
0.024724896997213364,
0.023390699177980423,
0.012615777552127838,
-0.03938419371843338,
-0.006852545775473118,
-0.023154258728027344,
-0.005353683605790138,
0.010749587789177895,
0.008165634237229824,
0.010521592572331429,
0.06654104590415955,
-0.02131340280175209,
-0.026633307337760925,
-0.035871367901563644,
-0.030686570331454277,
0.033777181059122086,
0.02107696235179901,
-0.02160050719976425,
0.03880998119711876,
-0.0004372561816126108,
0.01881389133632183,
0.0008555126842111349,
-0.017057476565241814,
-0.015284175053238869,
-0.033540740609169006,
-0.012759330682456493,
-0.03269631415605545,
-0.037323787808418274,
-0.031750552356243134,
-0.03376029431819916,
-0.0068778786808252335,
-0.005809675436466932,
0.0009737328509800136,
-0.03617536276578903,
0.03577003628015518,
0.041039276868104935,
-0.006333221681416035,
0.028187058866024017,
0.013485539704561234,
-0.03519582375884056,
0.0062825558707118034,
0.009136728011071682,
-0.03207143396139145,
0.02347514219582081,
0.021060073748230934,
0.02306981571018696,
-0.00021691284200642258,
0.005826564040035009,
0.03681712970137596,
0.007827862165868282,
-0.00021651701536029577,
-0.018560562282800674,
0.037897996604442596,
-0.037019792944192886,
-0.01647482067346573,
-0.02264760062098503,
0.001038648304529488,
-0.005395904649049044,
0.002911170944571495,
-0.02219160832464695,
0.00037656279164366424,
0.014127306640148163,
0.014971735887229443,
-0.0181721244007349,
-0.041377048939466476,
0.0079165268689394,
-0.008347186259925365,
0.05164531245827675,
0.037897996604442596,
0.013958420604467392,
0.0427619144320488,
-0.015377062372863293,
-0.014101973734796047,
0.00641766469925642,
-0.006320555228739977,
-0.013823311775922775,
-0.030450129881501198,
-0.027545291930437088,
-0.0217862818390131,
-0.0038062662351876497,
0.020587192848324776,
-0.012151340954005718,
-0.020654747262597084,
0.023137370124459267,
0.031159451231360435,
0.00672588124871254,
-0.01152646355330944,
0.008410518057644367,
0.018256567418575287,
-0.0288626030087471,
-0.009297169744968414,
-0.011568685062229633,
-0.036445580422878265,
-0.015782387927174568,
-0.001097758417017758,
-0.05380704998970032,
0.021566729992628098,
-0.06593305617570877,
-0.040059737861156464,
0.01420330535620451,
-0.029369259253144264,
0.055901236832141876,
-0.016137048602104187,
0.014617075212299824,
0.04698406159877777,
-0.06512241065502167,
0.027899952605366707,
-0.016626818105578423,
0.041208162903785706,
-0.022292939946055412,
0.012320226989686489,
0.000892984273377806,
0.019100995734333992,
-0.0023348478134721518,
0.013367319479584694,
-0.03658068925142288,
-0.011661572381854057,
0.012421558611094952,
-0.008258520625531673,
-0.0044205887243151665,
0.04776093736290932,
0.010606035590171814,
-0.01469307392835617,
0.01083403080701828,
0.016829481348395348,
0.03799932822585106,
0.004543031100183725,
0.006962321698665619,
0.02317114733159542,
-0.007371869869530201,
0.037965551018714905,
0.013806423172354698,
-0.018965886905789375,
0.005493014119565487,
0.06630460917949677,
0.027579069137573242,
-0.03485805168747902,
0.049517348408699036,
-0.023897357285022736,
0.03149722144007683,
-0.041444603353738785,
0.00008892898767953739,
-0.03985707461833954,
0.05880607292056084,
-0.011442020535469055,
-0.049112021923065186,
0.04921335354447365,
-0.006468330509960651,
0.021448511630296707,
0.01742902584373951,
-0.02126273699104786,
0.009060729295015335,
-0.030179912224411964,
-0.025248443707823753,
-0.01673659309744835,
0.02114451676607132,
-0.06448063999414444,
0.0488080270588398,
0.00006808213220210746,
0.011129581369459629,
-0.02636309154331684,
-0.0580967515707016,
-0.005395904649049044,
-0.010006490163505077,
0.020519638434052467,
-0.010986028239130974,
0.024724896997213364,
-0.018053904175758362,
0.02531599812209606,
0.011678460985422134,
-0.010116266086697578,
0.014296192675828934,
-0.021887613460421562,
0.01567261293530464,
-0.042255256325006485,
0.02969014272093773,
-0.016652150079607964,
0.038134437054395676,
-0.01045403815805912,
0.029369259253144264,
-0.018982775509357452,
0.045396532863378525,
0.008060079999268055,
0.039519302546978,
-0.034587834030389786,
-0.0028330611530691385,
-0.0027296184562146664,
0.03134522587060928,
0.05296262353658676,
-0.036209139972925186,
-0.020300086587667465,
0.03911397606134415,
0.03549981862306595,
-0.003998374100774527,
0.005653455853462219,
0.01731080561876297,
0.049922674894332886,
-0.0016825258499011397,
0.02514711208641529,
-0.015199732035398483,
-0.008950953371822834,
-0.010665145702660084,
0.03637802600860596,
-0.017631689086556435,
0.023508919402956963,
-0.000268634146777913,
-0.00952516496181488,
0.048537809401750565,
0.0387086495757103,
-0.0032637203112244606,
0.028372833505272865,
-0.030804790556430817,
0.0306696817278862,
-0.019185438752174377,
-0.012514445930719376,
-0.002714840928092599,
0.04421433061361313,
0.0702565386891365,
-0.05461770296096802,
0.032037656754255295,
0.011855791322886944,
-0.044754765927791595,
0.020249420776963234,
-0.011230912990868092,
-0.04299835115671158,
0.02305292710661888,
-0.049348462373018265,
-0.02735951729118824,
0.027156854048371315,
-0.011914901435375214,
0.028947046026587486,
-0.0016445266082882881,
0.038201991468667984,
0.04728805646300316,
-0.019134772941470146,
-0.05188175290822983,
-0.01650015264749527,
0.011923345737159252,
0.06181224435567856,
0.03137900307774544,
-0.02452223375439644,
-0.044822320342063904,
0.029605699703097343,
-0.01123935729265213,
-0.0010486759711056948,
-0.004462810233235359,
-0.017851240932941437,
-0.026987968012690544,
0.03376029431819916,
0.0014809183776378632,
-0.025687547400593758,
-0.023424476385116577,
-0.01231178268790245,
0.04755827412009239,
-0.02398180030286312,
0.048943135887384415,
-0.007308537606149912,
0.025012003257870674,
0.006654104683548212,
0.004289702046662569,
-0.019320547580718994,
-0.01721791923046112,
-0.02312048152089119,
-0.02707241103053093,
0.02224227413535118,
0.015419283881783485,
0.00493569066748023,
-0.029656365513801575,
0.026109762489795685,
-0.027747955173254013,
-0.02212405391037464,
0.03698601573705673,
0.03230787441134453,
-0.005839230492711067,
0.02357647381722927,
0.0025079557672142982,
0.03884375840425491,
0.04343745484948158,
-0.011053582653403282,
0.05667811259627342,
0.04060017317533493,
-0.019033441320061684,
0.010293596424162388,
-0.021161405369639397,
-0.040633950382471085,
0.007342314813286066,
0.010622924193739891,
-0.010935362428426743,
-0.025636881589889526,
-0.0045303646475076675,
-0.0146339638158679,
-0.014777516946196556,
-0.006928544491529465,
0.03198699280619621,
-0.03014613501727581,
0.03379407152533531,
-0.022664489224553108
] |
In the ever-evolving realm of network security, the swift and accurate
identification of diverse attack classes within network traffic is of paramount
importance. This paper introduces "ByteStack-ID," a pioneering approach
tailored for packet-level intrusion detection. At its core, ByteStack-ID
leverages grayscale images generated from the frequency distributions of
payload data, a groundbreaking technique that greatly enhances the model's
ability to discern intricate data patterns. Notably, our approach is
exclusively grounded in packet-level information, a departure from conventional
Network Intrusion Detection Systems (NIDS) that predominantly rely on
flow-based data. While building upon the fundamental concept of stacking
methodology, ByteStack-ID diverges from traditional stacking approaches. It
seamlessly integrates additional meta learner layers into the concatenated base
learners, creating a highly optimized, unified model. Empirical results
unequivocally confirm the outstanding effectiveness of the ByteStack-ID
framework, consistently outperforming baseline models and state-of-the-art
approaches across pivotal performance metrics, including precision, recall, and
F1-score. Impressively, our proposed approach achieves an exceptional 81\%
macro F1-score in multiclass classification tasks. In a landscape marked by the
continuous evolution of network threats, ByteStack-ID emerges as a robust and
versatile security solution, relying solely on packet-level information
extracted from network traffic data. | [
-0.03340534493327141,
0.020800620317459106,
-0.019152021035552025,
-0.026867467910051346,
0.05411176010966301,
-0.02592541091144085,
0.018294747918844223,
0.051360953599214554,
-0.006500193849205971,
0.036363404244184494,
0.03587353229522705,
-0.023212285712361336,
0.0328589528799057,
-0.061309076845645905,
-0.05162472650408745,
0.005407407879829407,
-0.012303265742957592,
-0.06914699077606201,
-0.03896348178386688,
-0.06217576935887337,
0.07581675797700882,
-0.06123371049761772,
-0.031709641218185425,
-0.01922738552093506,
-0.01927448809146881,
0.011794555000960827,
0.024267390370368958,
0.006311782635748386,
-0.06534107774496078,
0.06752665340900421,
-0.006269389763474464,
0.024776101112365723,
0.0031535360030829906,
0.026057299226522446,
-0.035967741161584854,
-0.013640986755490303,
0.011719190515577793,
0.11900065094232559,
-0.0014283941127359867,
0.006076268386095762,
0.0293921809643507,
-0.03299083933234215,
-0.036608338356018066,
0.04352303594350815,
0.028883470222353935,
0.020612208172678947,
-0.04472887143492699,
-0.06884553283452988,
-0.03730545938014984,
-0.04638689011335373,
0.012962705455720425,
-0.027903730049729347,
-0.012190219014883041,
-0.023174604400992393,
0.002196170622482896,
0.04356072098016739,
0.0627410039305687,
0.020536843687295914,
0.05693792924284935,
-0.03165311738848686,
-0.013980126939713955,
-0.004898696672171354,
0.03500683978199959,
-0.0036269198171794415,
-0.0018370113102719188,
0.0012340947287157178,
0.04356072098016739,
-0.006194025278091431,
0.026396440342068672,
-0.010277843102812767,
-0.05396103113889694,
-0.01766357012093067,
0.011530778370797634,
0.06993831694126129,
-0.004269873723387718,
0.05147399753332138,
0.016749775037169456,
0.029825527220964432,
0.001414263155311346,
-0.0005587576306425035,
-0.019594786688685417,
0.0421287938952446,
-0.029750162735581398,
0.04401290789246559,
0.025247130542993546,
-0.0015072913374751806,
-0.027225449681282043,
-0.07815305888652802,
0.028695058077573776,
-0.0048233321867883205,
-0.0002651007380336523,
0.004592528101056814,
0.01985856331884861,
0.008356045931577682,
0.007343335077166557,
0.03133281692862511,
0.015845399349927902,
-0.03446044772863388,
0.008464382961392403,
0.02127164974808693,
-0.009844496846199036,
-0.016335269436240196,
-0.014074333012104034,
-0.0011917022056877613,
0.011285844258964062,
-0.015506260097026825,
-0.015553362667560577,
0.0372677780687809,
-0.005996193271130323,
0.11530778557062149,
-0.0013918892946094275,
0.019086075946688652,
-0.026848627254366875,
0.04197806492447853,
0.01498812809586525,
0.044088270515203476,
0.002351609990000725,
-0.0631931871175766,
-0.017710672691464424,
-0.03792721778154373,
0.02064989134669304,
0.0400562658905983,
-0.04092295840382576,
-0.001390711753629148,
-0.046311527490615845,
0.07739941030740738,
-0.00019164974219165742,
-0.013782295398414135,
-0.007870887406170368,
0.006674474570900202,
-0.009392309002578259,
-0.0167874563485384,
0.026848627254366875,
-0.02130933105945587,
0.024436959996819496,
0.08395612984895706,
0.016985289752483368,
0.006584979128092527,
0.032350242137908936,
0.051210224628448486,
0.03975480794906616,
0.006815783213824034,
-0.026302233338356018,
0.0035232934169471264,
0.009378178045153618,
0.060253970324993134,
0.053169701248407364,
0.04333462566137314,
-0.04243025183677673,
0.03218067064881325,
-0.04958988353610039,
0.03734314441680908,
0.03121977113187313,
0.024681895971298218,
0.020423797890543938,
-0.031728483736515045,
0.021403536200523376,
0.00007727812044322491,
0.006900568027049303,
0.008525616489350796,
0.013292425312101841,
-0.050381213426589966,
0.028073301538825035,
0.0299762561917305,
0.031954575330019,
0.05512918159365654,
-0.0014860950177535415,
0.025793522596359253,
-0.06341928243637085,
0.03743734955787659,
0.042279522866010666,
-0.028864629566669464,
-0.016721513122320175,
0.06021628901362419,
-0.024851465597748756,
0.007936830632388592,
0.048760876059532166,
-0.02875158190727234,
-0.030692219734191895,
-0.024851465597748756,
-0.0421287938952446,
0.028921153396368027,
-0.021742677316069603,
-0.01398954726755619,
0.011427152901887894,
0.03724893555045128,
0.08275029808282852,
-0.02206297777593136,
0.013000387698411942,
-0.016919344663619995,
-0.018794039264321327,
-0.009957543574273586,
0.02652832679450512,
-0.05105949565768242,
0.023419538512825966,
-0.02432391420006752,
-0.031163249164819717,
0.0106452452018857,
0.004220415838062763,
0.023363016545772552,
-0.04393754154443741,
-0.02899651788175106,
-0.006877016741782427,
-0.00021034368546679616,
0.010089430958032608,
-0.01583597995340824,
0.005492192693054676,
-0.019180282950401306,
-0.0066179512068629265,
-0.0007141970563679934,
-0.0851619616150856,
-0.005365015007555485,
-0.03018350899219513,
0.05983946472406387,
-0.011907601729035378,
-0.045482516288757324,
-0.03547786921262741,
-0.03591121733188629,
0.00974087044596672,
-0.01987740397453308,
0.024625372141599655,
0.05000438913702965,
-0.011088011786341667,
-0.015204801224172115,
-0.038530133664608,
-0.012727191671729088,
-0.009759711101651192,
0.05309433862566948,
-0.009095560759305954,
0.00471028545871377,
-0.020744096487760544,
-0.01840779557824135,
0.013141696341335773,
-0.04559556394815445,
-0.036740224808454514,
-0.12465299665927887,
0.01885056309401989,
-0.02309923991560936,
-0.0007801410392858088,
-0.019208544865250587,
-0.020386114716529846,
0.009910441003739834,
-0.05648574233055115,
-0.006104529835283756,
-0.0024210866540670395,
0.03468654304742813,
0.005713576450943947,
0.006655633449554443,
-0.0014236837159842253,
0.000817234511487186,
0.031125565990805626,
-0.011719190515577793,
0.049137696623802185,
-0.004406472202390432,
-0.04585934057831764,
-0.0400562658905983,
-0.007475222926586866,
-0.04092295840382576,
0.011229320429265499,
-0.017277326434850693,
0.014884501695632935,
0.00862924288958311,
-0.04800722748041153,
0.04842173308134079,
-0.017710672691464424,
-0.03057917393743992,
0.06522803008556366,
0.02108323760330677,
0.0032477418426424265,
0.0008619822328910232,
0.02049916237592697,
-0.05546832084655762,
-0.04073454812169075,
-0.035345982760190964,
0.008035747334361076,
0.002769647864624858,
0.06353233009576797,
-0.027602272108197212,
0.007630662526935339,
0.059952512383461,
-0.014827978797256947,
-0.034780748188495636,
0.010089430958032608,
0.00932165514677763,
-0.05087108165025711,
-0.030560331419110298,
-0.005944380071014166,
-0.015251903794705868,
-0.030108144506812096,
-0.015864241868257523,
-0.02617034502327442,
0.0019547685515135527,
-0.061120662838220596,
-0.008271261118352413,
0.027715319767594337,
-0.008167634718120098,
-0.0031888631638139486,
-0.010268421843647957,
-0.03986785560846329,
-0.018191121518611908,
-0.07566602528095245,
-0.006763970013707876,
0.03208646550774574,
0.04295780137181282,
-0.029938574880361557,
-0.03076758421957493,
-0.03121977113187313,
0.0847097709774971,
-0.06296709924936295,
-0.03216182813048363,
-0.011314105242490768,
-0.025247130542993546,
-0.023645631968975067,
-0.01968899369239807,
-0.016504840925335884,
0.03082410804927349,
0.03805910795927048,
0.03730545938014984,
-0.00608097855001688,
0.010692347772419453,
0.04352303594350815,
0.002013646997511387,
-0.05780462175607681,
0.08802581578493118,
-0.0030475547537207603,
-0.0010050571290776134,
0.060065560042858124,
0.016551943495869637,
-0.05497845262289047,
0.022364435717463493,
-0.03892580047249794,
0.011785133741796017,
-0.0453694686293602,
-0.024229709059000015,
0.010598142631351948,
0.021855724975466728,
-0.055242229253053665,
0.05750316381454468,
0.00551574444398284,
0.004837463144212961,
-0.016137437894940376,
0.006782811135053635,
-0.03342418372631073,
-0.0352894589304924,
-0.009599561803042889,
0.014451155439019203,
-0.03182268887758255,
0.00526138860732317,
-0.037983741611242294,
-0.011813395656645298,
0.0011245806235820055,
-0.00039801912498660386,
-0.00047485565301030874,
0.027206609025597572,
-0.0018770487513393164,
0.0045171636156737804,
-0.01247283536940813,
-0.027809524908661842,
0.0421287938952446,
-0.029128404334187508,
0.01285907905548811,
-0.03061685524880886,
-0.016335269436240196,
0.0028803395107388496,
-0.006811072584241629,
0.013198220171034336,
0.022967351600527763,
-0.036401085555553436,
-0.023363016545772552,
0.02089482545852661,
0.00901548657566309,
0.04054613783955574,
-0.019086075946688652,
0.006707446649670601,
-0.05674951896071434,
0.0039825462736189365,
0.017484579235315323,
-0.02108323760330677,
-0.004083817359060049,
0.047102853655815125,
-0.015299007296562195,
0.0356474407017231,
0.011568460613489151,
-0.038812752813100815,
-0.030484966933727264,
0.01965131051838398,
0.015741774812340736,
0.03551555052399635,
-0.0037540975026786327,
0.036401085555553436,
-0.007253839634358883,
-0.015204801224172115,
-0.07016441226005554,
-0.020536843687295914,
0.06820493191480637,
-0.02877042256295681,
-0.015044651925563812,
-0.027903730049729347,
0.05667415261268616,
-0.02775300107896328,
-0.00017957962700165808,
0.0604046992957592,
-0.0004804491181857884,
-0.03628803789615631,
-0.04928842559456825,
0.0005281407502479851,
0.03728662058711052,
-0.014159117825329304,
0.024399278685450554,
-0.05693792924284935,
0.020404957234859467,
-0.008365467190742493,
0.014922183938324451,
0.033932894468307495,
0.018068654462695122,
0.0324067622423172,
0.000017332378774881363,
0.02434275485575199,
0.00006450882938224822,
0.0011239919112995267,
-0.006641502492129803,
-0.021742677316069603,
0.02731965482234955,
0.011832237243652344,
-0.029674798250198364,
0.02511524222791195,
0.03372564539313316,
-0.0027555169072002172,
0.035383664071559906,
-0.024681895971298218,
0.008186476305127144,
-0.014856240712106228,
0.03862433880567551,
-0.007729578297585249,
-0.011775713413953781,
-0.03945335000753403,
-0.014140277169644833,
-0.01598670892417431,
-0.060065560042858124,
-0.017917925491929054,
-0.015054072253406048,
0.0032712931279093027,
-0.014969287440180779,
-0.05486540496349335,
-0.007936830632388592,
0.024229709059000015,
0.01164382603019476,
-0.020178861916065216,
0.03523293510079384,
-0.03201109915971756,
-0.039415668696165085,
0.059877149760723114,
-0.04114905372262001,
-0.0008048700401559472,
0.07559066265821457,
-0.018351271748542786,
-0.05090876668691635,
-0.04295780137181282,
0.0550914965569973,
-0.00019797918503172696,
-0.03178500756621361,
0.08169519156217575,
-0.04740431159734726,
-0.009722028858959675,
0.030654538422822952,
0.016316428780555725,
-0.04578397423028946,
-0.0627410039305687,
0.00860098097473383,
0.01125758234411478,
0.04359840229153633,
-0.02652832679450512,
-0.008577429689466953,
0.021403536200523376,
0.006641502492129803,
-0.025774681940674782,
-0.010400310158729553,
-0.0166084673255682,
-0.013669248670339584,
-0.020951349288225174,
0.025661634281277657,
-0.03157775476574898,
-0.030654538422822952,
-0.058445222675800323,
0.004192153923213482,
0.014554781839251518,
0.005949090700596571,
-0.019575946033000946,
0.002925087232142687,
-0.02434275485575199,
0.036193832755088806,
-0.021591948345303535,
-0.035383664071559906,
-0.050946447998285294,
-0.009142664261162281,
-0.010362627916038036,
-0.02330649271607399,
0.0388881154358387,
0.05863363295793533,
0.06767737865447998,
-0.014677249826490879,
-0.010814815759658813,
0.04518105834722519,
0.05267983302474022,
-0.00658026896417141,
0.013631566427648067,
0.022628210484981537,
0.043862178921699524,
0.004175668116658926,
0.048949286341667175,
0.009703188203275204,
0.010965544730424881,
0.00475738849490881,
0.004121499601751566,
-0.029957415536046028,
-0.0017310299444943666,
0.00421099504455924,
-0.021987613290548325,
0.02796025387942791,
0.027809524908661842,
0.003075816435739398,
0.0024116660933941603,
-0.007465802598744631,
0.025868887081742287,
-0.022439800202846527,
0.035760488361120224,
0.04962756857275963,
-0.016947606578469276,
-0.017512841150164604,
-0.0210643969476223,
-0.017136018723249435,
0.003918957430869341,
-0.03811562806367874,
0.005289650522172451,
-0.016957027837634087,
0.07099342346191406,
-0.011577881872653961,
0.039415668696165085,
-0.03219950944185257,
-0.036947477608919144,
0.002315105404704809,
-0.03472422435879707,
-0.004606659058481455,
-0.018577365204691887,
-0.021158602088689804,
0.010070590302348137,
0.03589237481355667,
-0.014328688383102417,
-0.00197243201546371,
0.0023457221686840057,
0.03604310378432274,
0.0033537233248353004,
0.03723009675741196,
0.016947606578469276,
-0.013141696341335773,
-0.0026330496184527874,
-0.0218745656311512,
-0.020631050691008568,
0.03545903041958809,
0.026905151084065437,
-0.03832288086414337,
0.06473816186189651,
-0.020386114716529846,
-0.018473738804459572,
0.005002323072403669,
-0.014093173667788506,
-0.009985805489122868,
0.06579326838254929,
-0.008940122090280056,
0.02292967028915882,
0.013490257784724236,
-0.02715008519589901,
-0.06153516843914986,
-0.04292012006044388,
0.016325850039720535,
0.014309846796095371,
0.05769157409667969,
-0.05953800678253174,
0.005218996200710535,
0.011229320429265499,
-0.007837914861738682,
-0.0031770875211805105,
-0.009703188203275204,
-0.0064766425639390945,
0.023796362802386284,
-0.0028662087861448526,
-0.021818041801452637,
-0.029297975823283195,
0.02675442211329937,
-0.021120920777320862,
-0.01075829192996025,
0.022647053003311157,
-0.021233966574072838,
-0.012180797755718231,
-0.02228907123208046,
0.014243903569877148,
0.026264552026987076,
0.010795974172651768,
0.024003613740205765,
-0.004213350359350443,
0.046688348054885864,
0.043899860233068466,
0.06763970106840134,
0.021441219374537468,
0.0061704739928245544,
-0.0036410505417734385,
0.05565673112869263,
0.005845464300364256,
0.04254329949617386,
-0.007738999091088772,
-0.01905781403183937,
0.005303781479597092,
0.06266563385725021,
-0.026452962309122086,
0.009034327231347561,
0.010023487731814384,
0.06213808432221413,
-0.03037192113697529,
-0.015722932294011116,
0.003928378224372864,
0.036966320127248764,
-0.07574138790369034,
0.03485611081123352,
0.022251388058066368,
0.01840779557824135,
0.01014595478773117,
0.024399278685450554,
-0.055995874106884,
-0.026660215109586716,
-0.07604284584522247,
-0.05170009285211563,
0.00951477698981762,
0.005831333342939615,
-0.024173185229301453,
-0.07400800287723541,
-0.02473841980099678,
0.009835075587034225,
0.019933927804231644,
-0.016674410551786423,
-0.014206220395863056,
0.029316816478967667,
0.026829786598682404,
-0.0016462447820231318,
0.029260292649269104,
-0.013942444697022438,
0.0384359285235405,
-0.03706052526831627,
-0.02389056794345379,
0.02839360013604164,
0.09292451292276382,
0.025661634281277657,
0.00974087044596672,
-0.006090398877859116,
0.032124146819114685,
-0.008464382961392403,
-0.035138729959726334,
0.03391405567526817,
0.02292967028915882,
0.0056146602146327496,
-0.027055880054831505,
-0.01886940374970436,
-0.03630688041448593,
-0.008671635761857033,
0.011860499158501625,
0.020423797890543938,
-0.00023801661154720932,
-0.00708426907658577,
0.002472899854183197,
0.04683907702565193,
0.02127164974808693,
-0.021610789000988007,
-0.0000606449248152785,
-0.046726033091545105,
0.019114337861537933,
-0.012708350084722042,
-0.02731965482234955,
0.03768228366971016,
0.063909150660038,
0.03381985053420067,
-0.05607123672962189,
-0.007738999091088772,
0.028864629566669464,
-0.03911421075463295,
0.005299071315675974,
-0.059688735753297806,
-0.02168615348637104,
0.0016639083623886108,
0.012840238399803638,
-0.01861504837870598,
0.014686670154333115,
-0.016872242093086243,
-0.019952768459916115,
0.010419151745736599,
0.015054072253406048,
0.04717822000384331,
-0.018115757033228874,
-0.0072632599622011185,
0.05045657604932785,
0.011879339814186096,
0.028224030509591103,
-0.0153932124376297,
0.008789392188191414,
-0.03406478464603424,
0.011822815984487534,
-0.00475738849490881,
0.03591121733188629,
0.005478061735630035,
-0.029693638905882835,
0.008219447918236256,
-0.03788953647017479,
-0.01356562227010727,
0.035609759390354156,
0.043108534067869186,
0.011078591458499432,
0.0736311823129654,
0.021799201145768166,
0.033763326704502106,
-0.018699832260608673,
-0.036759067326784134,
0.011813395656645298,
0.0332169346511364,
-0.002280955668538809,
-0.009104982018470764,
-0.07434714585542679,
-0.01664614863693714,
-0.0041945092380046844,
-0.026603691279888153,
0.021007873117923737,
-0.004677313379943371,
-0.008751709945499897,
0.061120662838220596,
-0.033763326704502106,
-0.03361259773373604,
0.003042844356968999,
0.002238563261926174,
-0.0054686414077878,
0.04785649850964546,
-0.000496051914524287,
0.012802556157112122,
-0.027018196880817413,
0.03202994167804718,
-0.047517359256744385,
-0.002508227014914155,
-0.012802556157112122,
-0.00011422442184993997,
0.0061987354420125484,
0.022854305803775787,
0.030955996364355087,
-0.02049916237592697,
0.021158602088689804,
0.01317937858402729,
-0.03372564539313316,
-0.008290102705359459,
-0.0442013181746006,
-0.05690024793148041,
-0.00799806509166956,
0.028318235650658607,
-0.012642405927181244,
-0.010607562959194183,
-0.005134210921823978,
-0.004623145330697298,
0.010616983287036419,
-0.0003612200089264661,
-0.004241611808538437,
0.07449787110090256,
-0.036608338356018066,
-0.01560046523809433,
0.015138857066631317,
0.012284424155950546,
0.006801652256399393,
0.0011616741539910436,
0.006683894898742437,
0.01376345381140709,
-0.04962756857275963,
-0.00009280734229832888,
-0.030880631878972054,
0.07385727763175964,
0.0002472899795975536,
0.0056523424573242664,
0.02430507354438305,
-0.03491263464093208,
0.005007033236324787,
-0.012811976484954357,
0.06959917396306992,
0.0008684588829055429,
-0.016542522236704826,
0.03342418372631073,
-0.017484579235315323,
-0.05739011615514755,
0.04785649850964546,
-0.00362220942042768,
0.01843605749309063,
0.006886437069624662,
0.007494064047932625,
0.06360769271850586,
0.009147373959422112,
-0.018558524549007416,
0.016693251207470894,
-0.023023875430226326,
-0.01867157220840454,
0.07645735144615173,
-0.015006969682872295,
0.013019229285418987,
0.014074333012104034,
-0.03178500756621361,
-0.06372074037790298,
-0.03628803789615631,
-0.03709820657968521,
-0.027037037536501884,
-0.004766808822751045,
0.030711060389876366,
-0.035779327154159546,
0.005492192693054676,
0.01599613018333912,
-0.011719190515577793,
0.010372048243880272,
-0.04175196960568428,
0.00039389761514030397,
-0.009293393231928349,
-0.03892580047249794,
-0.005299071315675974,
-0.003231255803257227,
-0.009835075587034225,
-0.024832624942064285,
-0.02978784590959549,
-0.026208028197288513,
0.03649529069662094,
0.035948898643255234,
0.044465094804763794,
0.014008388854563236,
-0.002213834086433053,
-0.00243521761149168,
0.012001806870102882,
0.04879855737090111,
-0.06620777398347855,
-0.008878887630999088,
-0.0421287938952446,
0.04495496302843094,
-0.0041026584804058075,
0.03585469350218773,
0.014338108710944653,
0.024361595511436462,
0.006278810556977987,
-0.026396440342068672,
0.012030068784952164,
-0.027508066967129707,
-0.033367663621902466,
-0.00745167164131999,
0.027621114626526833,
-0.01663672737777233,
-0.01440405286848545,
0.04133746400475502,
0.020951349288225174,
0.06790347397327423,
-0.025812363252043724,
0.031521230936050415,
0.006161053199321032,
-0.018756356090307236,
-0.027225449681282043,
-0.019971610978245735,
0.03687211498618126,
0.014017809182405472,
0.014535941183567047,
0.019406376406550407,
0.0014743193751201034,
0.06718751043081284,
0.0015638148179277778,
-0.05803071707487106,
0.051360953599214554,
-0.04393754154443741,
0.0162033811211586,
-0.02573699876666069,
0.017710672691464424,
0.045256420969963074,
-0.020103497430682182,
-0.036551814526319504,
0.00798864383250475,
0.03246328607201576,
0.0009856271790340543,
0.006161053199321032,
-0.0015744129195809364,
-0.01043799240142107,
0.03787069395184517,
-0.030861789360642433,
0.05938727781176567,
-0.012755452655255795,
0.025906570255756378,
-0.01297212578356266,
0.0018358337692916393,
-0.03202994167804718,
-0.01983972266316414,
0.00798864383250475,
-0.048346370458602905,
-0.010004646144807339,
0.049137696623802185,
0.006834624335169792,
-0.021818041801452637,
0.00516247283667326,
-0.022986192256212234,
-0.003577461699023843,
0.0176447294652462,
-0.010503936558961868,
-0.0035680411383509636,
-0.006914698984473944,
0.014460576698184013,
0.0015390857588499784,
0.0033443027641624212,
-0.029882051050662994,
0.014733772724866867,
-0.02773416042327881,
-0.008007485419511795,
-0.03625035658478737,
-0.027866048738360405,
-0.006048006471246481,
0.02029190957546234,
0.0041026584804058075,
-0.00961369276046753,
-0.014526519924402237,
0.005534585565328598,
0.01224674191325903,
0.05433785170316696,
0.03971712663769722,
-0.013735191896557808,
0.0020395535975694656,
0.013998968526721,
0.02394709177315235,
-0.006245838478207588,
-0.011653246358036995,
0.008718738332390785,
0.039604078978300095,
0.012821396812796593,
0.014319268055260181,
0.0057559688575565815,
0.011681508272886276,
0.0168345607817173,
0.01469609048217535,
-0.02027306891977787,
0.03061685524880886,
-0.06059311330318451,
-0.024022456258535385,
-0.02434275485575199,
0.0008678701124154031,
0.02715008519589901,
0.007512905169278383,
0.023344174027442932,
-0.06243954226374626,
0.05595818907022476,
-0.0009014308452606201,
-0.037983741611242294,
0.04160124063491821,
-0.05083340033888817,
-0.061309076845645905,
0.01084307674318552,
-0.0020654601976275444,
-0.038379404693841934,
-0.012388050556182861,
0.004279294516891241,
-0.01862446777522564,
-0.0148091372102499,
-0.014441735111176968,
0.020536843687295914,
0.005289650522172451,
-0.03747503086924553,
-0.0004206873709335923,
0.0073386249132454395,
0.035345982760190964,
0.01277429424226284,
-0.031106725335121155,
-0.039001163095235825,
0.01640121452510357,
-0.024173185229301453,
-0.04970293119549751,
-0.005869015585631132,
0.024003613740205765,
0.0036057233810424805,
0.022854305803775787,
0.018341852352023125,
-0.009599561803042889,
-0.007861466147005558,
-0.017936766147613525,
0.0356474407017231,
0.018275907263159752,
0.002673086943104863,
0.0073386249132454395,
-0.0008861224632710218,
-0.021328171715140343,
0.05060730502009392,
0.012576461769640446,
-0.06632082164287567,
0.04175196960568428,
-0.004422958008944988,
-0.019575946033000946,
-0.0002974839590024203,
-0.005171893630176783,
-0.02434275485575199,
-0.0012470480287447572,
-0.03351839259266853,
-0.0010091786971315742,
-0.011003226973116398,
0.021723836660385132,
0.002593012060970068,
0.007880307734012604,
0.01641063392162323,
0.020386114716529846,
-0.02046147920191288,
0.03040960244834423,
0.043711449950933456,
-0.0029980966355651617,
-0.02976900339126587,
0.018878823146224022,
-0.016137437894940376,
-0.046726033091545105,
0.017720093950629234,
0.038398247212171555,
-0.015440315939486027,
0.008987224660813808,
-0.013518518768250942,
0.03282126784324646,
-0.011389469727873802,
0.01641063392162323,
0.000883767323102802,
0.032500971108675,
-0.014639567583799362,
0.029900891706347466
] |
We propose BOSS, an approach that automatically learns to solve new
long-horizon, complex, and meaningful tasks by growing a learned skill library
with minimal supervision. Prior work in reinforcement learning require expert
supervision, in the form of demonstrations or rich reward functions, to learn
long-horizon tasks. Instead, our approach BOSS (BOotStrapping your own Skills)
learns to accomplish new tasks by performing "skill bootstrapping," where an
agent with a set of primitive skills interacts with the environment to practice
new skills without receiving reward feedback for tasks outside of the initial
skill set. This bootstrapping phase is guided by large language models (LLMs)
that inform the agent of meaningful skills to chain together. Through this
process, BOSS builds a wide range of complex and useful behaviors from a basic
set of primitive skills. We demonstrate through experiments in realistic
household environments that agents trained with our LLM-guided bootstrapping
procedure outperform those trained with naive bootstrapping as well as prior
unsupervised skill acquisition methods on zero-shot execution of unseen,
long-horizon tasks in new environments. Website at clvrai.com/boss. | [
0.037679143249988556,
-0.0052644326351583,
-0.01704532653093338,
-0.032907634973526,
0.01360471360385418,
-0.014827166683971882,
0.024981409311294556,
0.03937480226159096,
-0.026361597701907158,
0.01616792008280754,
0.027682635933160782,
-0.013624430634081364,
0.005441885441541672,
-0.01905645802617073,
0.028707917779684067,
0.07867074012756348,
-0.012204808183014393,
0.042588669806718826,
-0.04065640643239021,
-0.05603564903140068,
-0.029930369928479195,
0.009912709705531597,
-0.06695885211229324,
0.026420747861266136,
-0.024744804948568344,
0.037994615733623505,
0.019480373710393906,
-0.003157180966809392,
-0.09038262069225311,
0.037383388727903366,
0.053590741008520126,
0.004120848141610622,
-0.01446240209043026,
0.03789602965116501,
0.006028465460985899,
0.005289079155772924,
0.03156688064336777,
0.01156400702893734,
-0.07121772319078445,
-0.0048232655972242355,
0.041484519839286804,
-0.012697733007371426,
0.004783831536769867,
-0.08983054757118225,
0.007546672597527504,
-0.03274989873170853,
-0.027347447350621223,
-0.016838297247886658,
-0.04558565095067024,
0.0047665792517364025,
0.021314051002264023,
-0.03123169019818306,
0.068141870200634,
-0.03720593452453613,
-0.026972824707627296,
0.04653206467628479,
0.0416816882789135,
-0.02659820206463337,
0.01330895908176899,
0.03204008564352989,
-0.029930369928479195,
-0.006733347661793232,
-0.07539772242307663,
-0.01940150558948517,
0.04708414152264595,
-0.04365338757634163,
0.05863828957080841,
-0.03434697166085243,
0.01621721312403679,
0.015369383618235588,
-0.0031251409091055393,
-0.01622707210481167,
-0.029398012906312943,
0.00984863005578518,
0.001836143434047699,
0.04905583709478378,
0.046098291873931885,
-0.022595655173063278,
0.0004310007789172232,
-0.052171118557453156,
0.02222103253006935,
-0.002691367408260703,
0.0054468149319291115,
-0.045822255313396454,
0.04763621464371681,
-0.021018296480178833,
0.03923678398132324,
-0.0804058313369751,
0.01489617582410574,
-0.013634289614856243,
-0.012086506932973862,
-0.009316271170973778,
0.026460181921720505,
0.018948014825582504,
-0.02082112804055214,
0.03878329321742058,
-0.037087634205818176,
0.000944566389080137,
-0.05299923196434975,
-0.044047724455595016,
0.02547433413565159,
-0.0007683459552936256,
-0.01360471360385418,
-0.0514218769967556,
-0.0134371193125844,
-0.012244242243468761,
-0.037442538887262344,
0.001148513867519796,
-0.048976968973875046,
0.07370205968618393,
0.005151059944182634,
-0.016572119668126106,
0.0041430299170315266,
0.059624139219522476,
-0.017449524253606796,
0.022989993914961815,
-0.012007638812065125,
-0.09306412935256958,
0.013979336246848106,
-0.06147753447294235,
0.050672631710767746,
0.038329802453517914,
0.025868672877550125,
-0.10229167342185974,
-0.06680111587047577,
0.0023845217656344175,
0.0009297786746174097,
0.00894657801836729,
0.02922055870294571,
0.027367163449525833,
0.0020789087284356356,
-0.004968678113073111,
-0.049292441457509995,
0.07082337886095047,
0.021530939266085625,
0.059703003615140915,
0.01254985574632883,
0.01563556306064129,
-0.019283203408122063,
-0.015310232527554035,
-0.00940992683172226,
-0.011169667355716228,
-0.026736220344901085,
0.01400891225785017,
0.04392942413687706,
-0.010371129959821701,
0.020071882754564285,
0.0444420650601387,
-0.023009711876511574,
0.018957873806357384,
-0.011307686567306519,
0.03878329321742058,
-0.036239802837371826,
0.06037338078022003,
-0.032493576407432556,
0.007625540718436241,
-0.0251785796135664,
0.0027234074659645557,
0.031014803797006607,
0.04053810238838196,
0.08983054757118225,
-0.011741459369659424,
-0.005343300756067038,
0.0484643280506134,
0.04905583709478378,
0.019549382850527763,
0.0012378564570099115,
0.0012427857145667076,
-0.0776454508304596,
0.037974897772073746,
-0.03980857506394386,
0.025257447734475136,
0.013920185156166553,
0.028096692636609077,
0.04475753754377365,
-0.01229353528469801,
0.07504281401634216,
0.04282527416944504,
-0.02192527800798416,
-0.010085233487188816,
-0.031034521758556366,
0.05173734575510025,
0.007280493620783091,
0.01876070350408554,
0.05694262683391571,
0.012480846606194973,
0.033124521374702454,
-0.01851424016058445,
-0.006807286292314529,
-0.05788904428482056,
-0.020407071337103844,
-0.01908603310585022,
0.010745752602815628,
-0.025829238817095757,
0.02342376857995987,
-0.029141690582036972,
-0.048700932413339615,
0.08241695910692215,
0.023325182497501373,
0.011751318350434303,
-0.030541596934199333,
-0.04452093318104744,
-0.005722852423787117,
0.043495651334524155,
0.05252602696418762,
0.03209923952817917,
-0.024054711684584618,
-0.007507239002734423,
0.011810469441115856,
-0.04877980053424835,
0.05197395011782646,
-0.008059314452111721,
-0.08833205699920654,
-0.0009692126186564565,
-0.03038386069238186,
-0.040321215987205505,
-0.038862161338329315,
0.033656880259513855,
-0.003963112365454435,
-0.0560750812292099,
-0.036022916436195374,
-0.001523136394098401,
0.040932442992925644,
-0.018297353759407997,
-0.027031974866986275,
0.026164427399635315,
0.03730452060699463,
0.025513768196105957,
0.042904142290353775,
0.02164923958480358,
-0.005328512750566006,
0.02977263554930687,
0.03957197070121765,
0.008631106466054916,
0.019716976210474968,
0.009266979061067104,
0.01851424016058445,
-0.003913819789886475,
-0.015369383618235588,
-0.033104803413152695,
0.05094866827130318,
-0.002881143242120743,
-0.036851029843091965,
-0.03123169019818306,
0.06254225224256516,
-0.017390374094247818,
0.03675244376063347,
0.05528640374541283,
0.022142164409160614,
0.0067037721164524555,
0.0050031826831400394,
0.0228519756346941,
-0.020978862419724464,
0.02399556152522564,
-0.033104803413152695,
0.014886317774653435,
0.048148855566978455,
0.022102730348706245,
0.007748771924525499,
-0.018031174317002296,
-0.01082461979240179,
0.007221342530101538,
0.010173959657549858,
0.06542092561721802,
-0.032217539846897125,
-0.027584049850702286,
0.03953253850340843,
0.010814761742949486,
0.007605823688209057,
-0.00325576588511467,
-0.020071882754564285,
-0.0520528182387352,
-0.02143235318362713,
0.021767541766166687,
-0.025947540998458862,
-0.06829960644245148,
0.048661500215530396,
-0.026184145361185074,
0.006412946619093418,
0.03933537006378174,
0.04459980130195618,
-0.0074530174024403095,
0.05887489393353462,
0.0416816882789135,
-0.02139291912317276,
-0.010282403789460659,
-0.03574687987565994,
0.012086506932973862,
0.000783749797847122,
0.04941074177622795,
0.00852759275585413,
0.028845936059951782,
-0.040932442992925644,
0.0503571592271328,
0.07358375936746597,
0.02598697505891323,
-0.0034554002340883017,
-0.0025533484295010567,
0.020347919315099716,
0.018681835383176804,
-0.007615682203322649,
0.0017461847746744752,
0.004483147524297237,
-0.029398012906312943,
-0.04483640566468239,
0.02772206999361515,
-0.006013677921146154,
0.022694239392876625,
-0.05528640374541283,
-0.017124194651842117,
0.011633016169071198,
0.01881985366344452,
-0.04195772483944893,
-0.024508202448487282,
0.025237729772925377,
0.08415205776691437,
0.051895081996917725,
0.03996631130576134,
-0.040577538311481476,
-0.02720942720770836,
-0.04704470559954643,
0.0497262142598629,
-0.10402677208185196,
0.02403499372303486,
0.05816508084535599,
0.025888390839099884,
0.01880013756453991,
0.048424895852804184,
-0.03900017961859703,
-0.013121647760272026,
0.002676579635590315,
-0.0548131950199604,
-0.023522352799773216,
-0.004244079347699881,
0.05922979861497879,
-0.037718575447797775,
-0.03434697166085243,
0.061674702912569046,
-0.04077470675110817,
-0.030581030994653702,
-0.036279238760471344,
0.004239149857312441,
0.03525395318865776,
-0.00427611917257309,
0.04428432881832123,
-0.059979043900966644,
-0.04712357372045517,
0.006417876109480858,
-0.011337261646986008,
0.025789804756641388,
0.001257573370821774,
-0.03980857506394386,
0.03965083882212639,
-0.04081414267420769,
0.016365090385079384,
-0.03123169019818306,
-0.004751791246235371,
0.015832731500267982,
-0.0300486721098423,
0.061990175396203995,
0.002469551283866167,
-0.07878904044628143,
-0.05280206352472305,
0.030166974291205406,
-0.045782819390296936,
-0.01558627001941204,
0.0011398877250030637,
-0.027564333751797676,
-0.022181598469614983,
0.03618065267801285,
-0.03564829379320145,
0.04369281977415085,
0.07263734191656113,
-0.05146130919456482,
-0.037422820925712585,
-0.013673723675310612,
-0.010361270979046822,
-0.050712063908576965,
-0.018642401322722435,
0.052131686359643936,
0.006536177825182676,
0.019440939649939537,
-0.03413008525967598,
0.018395939841866493,
-0.0039483243599534035,
0.042076028883457184,
-0.018652260303497314,
0.019707119092345238,
-0.04704470559954643,
0.008133253082633018,
0.0049119917675852776,
-0.03665386140346527,
-0.06463225185871124,
0.009316271170973778,
0.009262049570679665,
0.02454763650894165,
-0.0001999424712266773,
-0.0473996102809906,
-0.005397522356361151,
0.036594707518815994,
-0.01212594099342823,
0.03616093471646309,
0.004350057803094387,
0.02281254157423973,
-0.029398012906312943,
0.0010641005355864763,
0.03322310745716095,
-0.0079607293009758,
-0.0018078002613037825,
0.005525682587176561,
-0.031152823939919472,
-0.052131686359643936,
-0.05658772215247154,
0.03178376704454422,
0.03034442663192749,
0.016917165368795395,
0.002215695334598422,
0.009695823304355145,
0.01935221254825592,
0.01563556306064129,
-0.0584016852080822,
-0.02111688256263733,
0.020722541958093643,
0.06672225147485733,
-0.05295979976654053,
0.027544615790247917,
0.019480373710393906,
0.013170940801501274,
-0.04022263363003731,
-0.05008111894130707,
0.019224051386117935,
0.06297602504491806,
0.03574687987565994,
-0.011337261646986008,
-0.002359875710681081,
-0.02515886165201664,
0.014235656708478928,
0.04475753754377365,
-0.0480305552482605,
-0.03894102945923805,
-0.021885843947529793,
-0.03379489853978157,
-0.022753391414880753,
-0.054773762822151184,
0.00303887901827693,
-0.006856578402221203,
-0.0019322637235745788,
-0.02837272919714451,
0.03633838891983032,
-0.007172050420194864,
-0.0888841301202774,
-0.01503419503569603,
-0.0751216784119606,
0.024429334327578545,
0.008202262222766876,
-0.025277163833379745,
-0.009331059642136097,
-0.0228519756346941,
0.00031177469645626843,
-0.01241183653473854,
0.03927621617913246,
0.0009482633322477341,
0.03403150290250778,
-0.014807449653744698,
-0.006432663649320602,
0.010252827778458595,
-0.03531310334801674,
-0.03560886159539223,
-0.012944195419549942,
0.049016404896974564,
0.02190556190907955,
-0.061398666352033615,
-0.0005412925966084003,
0.07413583248853683,
0.0050721922889351845,
0.0497262142598629,
-0.058519985526800156,
-0.022615373134613037,
0.025947540998458862,
-0.0033839261159300804,
-0.015251081436872482,
-0.04712357372045517,
-0.004367310553789139,
-0.0503571592271328,
0.03633838891983032,
-0.013693440705537796,
0.004574338439851999,
-0.01430466677993536,
0.030738767236471176,
0.002627287060022354,
0.010952780954539776,
-0.023502636700868607,
-0.022477352991700172,
0.03834952041506767,
0.026795370504260063,
-0.04018319770693779,
-0.022595655173063278,
0.028550181537866592,
0.03235555812716484,
0.005303866695612669,
-0.007398795336484909,
-0.004889809992164373,
-0.01939164660871029,
0.010104950517416,
-0.012609006837010384,
0.012313252314925194,
0.000264176691416651,
-0.010755610652267933,
0.03121197409927845,
-0.02192527800798416,
-0.02977263554930687,
0.011307686567306519,
0.0055601876229047775,
-0.011179525405168533,
0.011110516265034676,
-0.010676742531359196,
-0.0017646694323047996,
-0.00030253236764110625,
0.036831311881542206,
0.0010801206808537245,
0.01113023329526186,
0.030561313033103943,
0.00809381902217865,
-0.002839244669303298,
-0.0318429172039032,
0.02249707095324993,
0.04081414267420769,
-0.0009168394026346505,
0.032217539846897125,
-0.002881143242120743,
-0.012678015977144241,
0.01819876953959465,
-0.03170489892363548,
-0.03789602965116501,
0.003881779732182622,
0.01646367460489273,
0.08131281286478043,
0.022161882370710373,
0.0063735125586390495,
-0.02604612708091736,
-0.023029427975416183,
0.005254574120044708,
0.03121197409927845,
0.024981409311294556,
-0.037481971085071564,
-0.03121197409927845,
0.03008810617029667,
-0.02194499410688877,
0.02226046659052372,
0.03937480226159096,
0.010173959657549858,
0.01707490161061287,
-0.005984102375805378,
0.007186837960034609,
-0.009340917691588402,
-0.03754112496972084,
-0.020702825859189034,
-0.026775654405355453,
-0.007438229396939278,
-0.012530138716101646,
-0.027051692828536034,
-0.018632542341947556,
-0.01184990257024765,
0.005303866695612669,
0.05958470329642296,
-0.013131506741046906,
0.03462301194667816,
0.032789330929517746,
-0.023266032338142395,
0.019746551290154457,
-0.010854195803403854,
0.013772307895123959,
0.000839203828945756,
0.001938425237312913,
0.020042307674884796,
0.056272249668836594,
-0.0043796333484351635,
-0.039433952420949936,
-0.06565753370523453,
-0.004889809992164373,
0.011021790094673634,
0.011021790094673634,
-0.004566944669932127,
0.01818891055881977,
-0.006028465460985899,
0.005772144999355078,
-0.027564333751797676,
-0.01757768541574478,
0.06238451600074768,
-0.010124667547643185,
-0.02113659866154194,
0.02742631360888481,
0.016325656324625015,
0.03698904812335968,
-0.02778122015297413,
-0.016345374286174774,
-0.026775654405355453,
0.0015921458834782243,
-0.014856741763651371,
-0.03288791701197624,
-0.0037067916709929705,
0.010031011886894703,
0.0023389263078570366,
-0.002873749239370227,
-0.002575529972091317,
0.011652733199298382,
0.06266055256128311,
0.009286696091294289,
0.024468768388032913,
0.02172810770571232,
0.005017970688641071,
0.03850725665688515,
0.027071408927440643,
-0.04049867019057274,
0.05469489470124245,
0.003309987485408783,
0.032533012330532074,
0.024173013865947723,
-0.0031078883912414312,
0.026065843179821968,
-0.002511449856683612,
0.012569572776556015,
-0.012214667163789272,
-0.015231364406645298,
0.009291625581681728,
0.03430753946304321,
0.013930044136941433,
-0.03296678513288498,
0.026558768004179,
0.016670703887939453,
-0.03612150251865387,
0.04160282015800476,
-0.016453817486763,
-0.019884571433067322,
-0.022989993914961815,
-0.007985375821590424,
0.00894164852797985,
0.012470987625420094,
0.01940150558948517,
0.003364209085702896,
-0.022773107513785362,
0.03271046280860901,
-0.007196696475148201,
0.060531117022037506,
-0.030265558511018753,
0.0210577305406332,
0.01734108105301857,
-0.003411036916077137,
0.049568478018045425,
-0.008695187047123909,
-0.024961693212389946,
-0.007502309512346983,
0.033992066979408264,
0.0388227254152298,
-0.014935609884560108,
-0.012894902378320694,
0.022102730348706245,
-0.026401031762361526,
0.006654479540884495,
0.0006451148074120283,
0.04314074665307999,
-0.028451597318053246,
0.0005480703548528254,
-0.011514713987708092,
0.024429334327578545,
-0.03381461650133133,
0.007034031208604574,
0.045782819390296936,
0.02050565555691719,
0.040005747228860855,
0.022418202832341194,
0.0023339970503002405,
-0.00912403129041195,
0.024468768388032913,
-0.018543817102909088,
0.0013912791619077325,
0.02143235318362713,
-0.017745278775691986,
-0.002671650378033519,
-0.025809522718191147,
-0.026637636125087738,
-0.02827414497733116,
-0.013377968221902847,
-0.046098291873931885,
0.01933249644935131,
-0.01615806296467781,
0.008054384961724281,
0.015714431181550026,
-0.00955287553369999,
0.006299573928117752,
-0.05090923234820366,
0.018336787819862366,
-0.01013452559709549,
-0.0161876380443573,
0.04345621541142464,
0.01459056232124567,
-0.03631867095828056,
-0.021530939266085625,
0.04732074216008186,
-0.00868532806634903,
-0.011800610460340977,
-0.0035022280644625425,
-0.051855649799108505,
0.0034972988069057465,
0.07326828688383102,
-0.013358252122998238,
0.008498016744852066,
0.010371129959821701,
-0.01357513852417469,
0.02196471206843853,
-0.01997329667210579,
0.028195276856422424,
-0.009291625581681728,
-0.020387353375554085,
0.020052164793014526,
-0.0028762139845639467,
0.03387376666069031,
-0.027110842987895012,
-0.020702825859189034,
0.028688201680779457,
-0.005067262798547745,
0.00557004613801837,
0.03233584016561508,
-0.08036639541387558,
-0.013939902186393738,
-0.0048109423369169235,
0.046768669039011,
0.012609006837010384,
-0.00793115422129631,
-0.017242496833205223,
0.04136621579527855,
-0.05934809893369675,
-0.035372257232666016,
0.01298362948000431,
0.011356978677213192,
0.002213230589404702,
-0.02567150443792343,
0.025572918355464935,
0.014225798659026623,
-0.015694713220000267,
0.036870747804641724,
-0.05315696820616722,
0.07906507700681686,
0.012441412545740604,
-0.01757768541574478,
0.03462301194667816,
0.02807697467505932,
0.023778673261404037,
0.012106223963201046,
0.005441885441541672,
0.05485262721776962,
0.03430753946304321,
-0.005727781914174557,
0.03497791662812233,
-0.0128554692491889,
0.01587216556072235,
0.016059476882219315,
-0.037146784365177155,
-0.010844336822628975,
-0.028530465438961983,
0.04199716076254845,
0.014186364598572254,
0.008774054236710072,
-0.04594055563211441,
0.010144384577870369,
-0.004512723069638014,
-0.009567663073539734,
0.0054468149319291115,
0.020209901034832,
-0.019598674029111862,
0.0334399938583374,
-0.051619045436382294,
0.07863130420446396,
-0.05378791317343712,
-0.008847992867231369,
0.0017375585157424212,
-0.018307212740182877,
0.015290515497326851,
-0.040301501750946045,
-0.030245842412114143,
-0.019283203408122063,
0.023502636700868607,
-0.0007239827536977828,
0.014935609884560108,
-0.005035222973674536,
0.006235493812710047,
-0.0017400231445208192,
-0.030778201296925545,
0.021156316623091698,
0.02797839045524597,
-0.008808559738099575,
0.012165375053882599,
0.0002684897626750171,
0.026361597701907158,
0.02425188198685646,
-0.021314051002264023,
-0.007896648719906807,
-0.0193620715290308,
0.003687074640765786,
-0.023049145936965942,
0.04629546031355858,
0.016414383426308632,
-0.016266506165266037,
0.05658772215247154,
-0.0021873521618545055,
-0.01472858153283596,
0.024389900267124176,
0.009291625581681728,
-0.0037265087012201548,
-0.0005298937321640551,
0.006038323976099491,
0.056469421833753586,
-0.03898046165704727,
0.03269074857234955,
0.006989668123424053,
0.013092072680592537,
-0.012007638812065125,
0.05394564941525459,
0.000024030065105762333,
-0.011287969537079334,
-0.02886565402150154,
-0.012263959273695946,
-0.0034036431461572647,
0.022122448310256004,
-0.03669329360127449,
-0.00599396089091897,
-0.02918112464249134,
-0.005639055278152227,
-0.02283225953578949,
-0.006550965365022421,
0.046965837478637695,
0.038586124777793884,
-0.055917344987392426,
-0.007610753178596497,
-0.040419802069664,
0.03434697166085243,
0.014127213507890701,
0.00796565879136324,
-0.0039606476202607155,
0.04661093279719353,
-0.03347942605614662,
-0.04345621541142464,
-0.005244715604931116,
-0.032256972044706345,
-0.024784239009022713,
-0.04834602773189545,
-0.005599621217697859,
0.0036476405803114176,
-0.01126825250685215,
0.0031473224516958,
-0.013584996573626995,
0.016631269827485085,
0.02748546563088894,
0.017400231212377548,
-0.02543490007519722,
0.03562857583165169,
0.001735094003379345,
0.07417526841163635,
-0.028786785900592804,
0.005831295624375343,
0.02024933509528637,
-0.006274927873164415,
-0.022359050810337067,
-0.021609805524349213,
-0.0004417835152707994,
-0.0040616970509290695,
0.054773762822151184,
-0.046926405280828476,
-0.05394564941525459,
-0.022102730348706245,
-0.006274927873164415,
0.0002386062260484323,
-0.04653206467628479,
0.03817206621170044,
-0.029023390263319016,
0.03610178455710411,
-0.037383388727903366,
0.005234857089817524,
-0.0012538764858618379,
-0.042667537927627563,
-0.008877568878233433,
-0.003997616935521364,
0.024350466206669807,
-0.03413008525967598,
0.018928296864032745,
0.008404361084103584,
-0.014413109980523586,
-0.022694239392876625,
0.02718971110880375,
-0.00693544652312994,
0.0021220396738499403,
0.018139619380235672,
-0.023266032338142395,
-0.033085085451602936,
0.04357451945543289,
0.010686601512134075,
-0.016641128808259964,
-0.010854195803403854,
0.002262523164972663,
-0.00015457801055163145,
-0.003931072074919939,
0.020623957738280296,
-0.03292734920978546,
0.007329786196351051,
-0.007354432251304388,
0.014146930538117886,
0.04657150059938431,
-0.0055355411022901535,
0.0011756247840821743,
-0.024350466206669807,
-0.014383534900844097,
0.02082112804055214,
0.04795168712735176,
-0.05323583632707596,
0.007591036148369312,
-0.008074101991951466,
-0.00440674414858222,
-0.03848753869533539,
0.05106696859002113,
-0.006176342722028494,
0.053906213492155075,
0.010262686759233475,
0.023049145936965942,
0.03980857506394386,
-0.059703003615140915,
0.018908580765128136,
0.013003346510231495,
0.03355829417705536,
0.02139291912317276,
-0.04558565095067024,
-0.0438111238181591,
0.008990941569209099,
0.02279282547533512,
0.02484339103102684,
0.008138182573020458,
0.008458582684397697,
0.03931565210223198,
-0.004796154797077179,
-0.011080941185355186,
0.001260654185898602,
0.000339501682901755,
0.02111688256263733,
-0.029674049466848373,
0.011366836726665497,
0.0011244838824495673,
0.016996033489704132,
-0.005259503610432148,
0.01519193034619093,
-0.019864853471517563,
-0.006383371073752642,
-0.022457636892795563,
0.024330750107765198,
0.017134053632616997,
-0.014511695131659508,
-0.008458582684397697,
-0.005215140525251627,
-0.01880999654531479,
0.01532009057700634,
-0.03779744356870651,
0.020860562101006508,
-0.006757993716746569,
0.04250980168581009,
-0.04862206429243088,
-0.007300210651010275,
0.00019809399964287877,
0.08115507662296295,
-0.01400891225785017,
-0.025257447734475136,
0.017143910750746727,
0.0020185254979878664,
-0.01792273111641407,
0.0020320808980613947,
-0.029279710724949837,
-0.007985375821590424,
0.009193040430545807,
-0.016059476882219315,
-0.06301546096801758,
-0.0034603294916450977,
-0.05690319463610649,
-0.012194950133562088,
0.026124993339180946,
-0.04767565056681633,
0.02425188198685646,
-0.009754974395036697,
-0.015221506357192993,
0.007462875451892614,
0.020702825859189034,
0.011820327490568161,
-0.050159987062215805,
0.005895376205444336,
-0.02080141007900238,
0.014955326914787292,
0.007379078306257725,
-0.05414281785488129,
-0.019993014633655548,
0.02113659866154194,
0.006846720352768898,
-0.012786459177732468,
0.02744603157043457,
-0.008138182573020458,
-0.008581814356148243,
-0.0634886622428894,
-0.012766742147505283,
0.03923678398132324,
0.020446505397558212,
0.024665938690304756,
0.035983484238386154,
-0.022122448310256004,
-0.02626301348209381,
0.0388227254152298,
0.0196282509714365,
-0.013939902186393738,
-0.011810469441115856,
0.0016500644851475954,
-0.03864527493715286,
-0.01849452406167984,
-0.007945941761136055,
0.019490230828523636,
0.009035304188728333,
0.018957873806357384,
0.01172174233943224,
-0.0507909320294857,
0.030285276472568512,
-0.009074738249182701
] |
In many real-world problems, predictions are leveraged to monitor and control
cyber-physical systems, demanding guarantees on the satisfaction of reliability
and safety requirements. However, predictions are inherently uncertain, and
managing prediction uncertainty presents significant challenges in environments
characterized by complex dynamics and forking trajectories. In this work, we
assume access to a pre-designed probabilistic implicit or explicit sequence
model, which may have been obtained using model-based or model-free methods. We
introduce probabilistic time series-conformal risk prediction (PTS-CRC), a
novel post-hoc calibration procedure that operates on the predictions produced
by any pre-designed probabilistic forecaster to yield reliable error bars. In
contrast to existing art, PTS-CRC produces predictive sets based on an ensemble
of multiple prototype trajectories sampled from the sequence model, supporting
the efficient representation of forking uncertainties. Furthermore, unlike the
state of the art, PTS-CRC can satisfy reliability definitions beyond coverage.
This property is leveraged to devise a novel model predictive control (MPC)
framework that addresses open-loop and closed-loop control problems under
general average constraints on the quality or safety of the control policy. We
experimentally validate the performance of PTS-CRC prediction and control by
studying a number of use cases in the context of wireless networking. Across
all the considered tasks, PTS-CRC predictors are shown to provide more
informative predictive sets, as well as safe control policies with larger
returns. | [
0.00997323077172041,
-0.0075850761495530605,
-0.04572543874382973,
0.014431741088628769,
0.05813823267817497,
0.008874960243701935,
-0.07903808355331421,
0.04280918091535568,
-0.07081273943185806,
0.018329432234168053,
0.06875640153884888,
-0.01964735798537731,
0.011169644072651863,
-0.04344477504491806,
-0.023872192949056625,
-0.007047624792903662,
0.004252877086400986,
0.009861066937446594,
0.0026779104955494404,
-0.003741129767149687,
0.003077493980526924,
-0.014899089932441711,
-0.019236089661717415,
0.03791136294603348,
0.005552107468247414,
0.018572453409433365,
0.009683473967015743,
-0.03254619240760803,
-0.05664271488785744,
0.06595230847597122,
0.06516715884208679,
0.056941818445920944,
-0.01687130331993103,
0.028265275061130524,
-0.05525936186313629,
-0.025068607181310654,
0.031162839382886887,
0.06950416415929794,
-0.0186378825455904,
0.04808087646961212,
-0.002280663698911667,
-0.0043440102599561214,
0.026508042588829994,
-0.02007731795310974,
0.0230309646576643,
0.02063813805580139,
-0.044491637498140335,
0.013749411329627037,
0.011440706439316273,
0.015095376409590244,
-0.03910777345299721,
-0.0555584654211998,
0.03925732523202896,
-0.0181798804551363,
-0.04497767984867096,
0.011337890289723873,
0.06516715884208679,
0.01775926724076271,
0.0646437332034111,
0.02622763253748417,
0.00589327234774828,
0.01798359490931034,
-0.030583327636122704,
-0.044940292835235596,
-0.001617028028704226,
-0.04931468144059181,
-0.016357218846678734,
-0.02260100468993187,
0.02161022275686264,
-0.05522197112441063,
-0.04333261027932167,
-0.015338398516178131,
-0.003110208548605442,
-0.0077019138261675835,
0.008945062756538391,
0.03695796802639961,
0.0220588780939579,
0.015067336149513721,
0.024433013051748276,
0.01754428632557392,
0.020357728004455566,
0.08359941095113754,
-0.024077827110886574,
-0.001166036119684577,
0.07769212126731873,
-0.04609931632876396,
0.028526991605758667,
-0.08322553336620331,
0.058362558484077454,
-0.013020346872508526,
0.0025914509315043688,
0.023965662345290184,
-0.020881159231066704,
-0.007781363092362881,
-0.02336745709180832,
0.042846567928791046,
0.010178864002227783,
0.012796019203960896,
-0.025386404246091843,
0.005888598971068859,
0.02383480593562126,
0.029480382800102234,
0.007010236848145723,
0.006856011692434549,
0.05952158570289612,
-0.07630876451730728,
-0.03249011188745499,
0.02933083102107048,
-0.022956188768148422,
0.14095249772071838,
0.009954536333680153,
0.011833280324935913,
0.034023016691207886,
0.004610399249941111,
-0.08158046007156372,
-0.031125452369451523,
-0.0608675517141819,
-0.05765218660235405,
0.02919997274875641,
-0.05114668980240822,
-0.06359686702489853,
0.061353594064712524,
0.044828128069639206,
0.03164888173341751,
-0.016590893268585205,
0.0016439005266875029,
0.036771029233932495,
-0.018908945843577385,
0.043818652629852295,
0.0010772397508844733,
-0.03052724525332451,
-0.024732116609811783,
-0.021255038678646088,
-0.04894080013036728,
0.022862719371914864,
-0.007099033333361149,
0.011122909374535084,
-0.05181967094540596,
0.013824187219142914,
-0.010683600790798664,
0.014366311952471733,
-0.0067298272624611855,
0.024395624175667763,
0.008487059734761715,
0.030901124700903893,
0.001426583155989647,
-0.039406877011060715,
0.0289008691906929,
-0.04852953180670738,
0.04396820440888405,
-0.0452393963932991,
0.016675017774105072,
-0.0021521428134292364,
0.02359178476035595,
0.04374387860298157,
-0.007888853549957275,
-0.015048641711473465,
0.016263749450445175,
0.029742099344730377,
-0.041837092489004135,
0.030564632266759872,
0.00780005706474185,
0.014525210484862328,
0.07055102288722992,
0.09003013372421265,
0.015057988464832306,
0.034116487950086594,
-0.058250393718481064,
-0.0742524266242981,
0.030957207083702087,
-0.030938511714339256,
-0.021441977471113205,
-0.006477458868175745,
-0.010449926368892193,
0.026433266699314117,
0.050324153155088425,
0.016076810657978058,
0.008566509932279587,
-0.0032901379745453596,
0.04497767984867096,
-0.01839486137032509,
0.018161186948418617,
-0.03570547327399254,
-0.00953859556466341,
0.06236306577920914,
0.06569059193134308,
0.06931722164154053,
0.041837092489004135,
0.055184584110975266,
-0.0013272715732455254,
0.011207032017409801,
0.036528006196022034,
0.046809688210487366,
0.02800356037914753,
0.03568677976727486,
-0.03761225938796997,
-0.04280918091535568,
0.017170406877994537,
0.0005383277893997729,
0.030340304598212242,
-0.03318178653717041,
-0.030901124700903893,
0.008005690760910511,
-0.0020072644110769033,
0.025984611362218857,
0.048903413116931915,
0.025872448459267616,
0.03966859355568886,
0.03383607789874077,
-0.05940942093729973,
0.008412283845245838,
-0.034023016691207886,
0.012758631259202957,
-0.02248883992433548,
-0.034546446055173874,
-0.04366910085082054,
0.011487441137433052,
0.010160170495510101,
-0.03981814533472061,
-0.020039930939674377,
0.037219684571027756,
0.01433827169239521,
-0.01709563098847866,
-0.01620766706764698,
-0.04015463590621948,
0.044603802263736725,
-0.008959082886576653,
0.0350324921309948,
-0.0319666787981987,
0.015721624717116356,
-0.010842499323189259,
0.002890554256737232,
0.00465713394805789,
0.03884606063365936,
0.02116156928241253,
0.041724931448698044,
0.0005727947573177516,
0.009898454882204533,
0.020582055673003197,
0.04654797166585922,
-0.023236598819494247,
-0.003465393790975213,
0.03486424311995506,
-0.02458256483078003,
0.04639841988682747,
0.003907038830220699,
-0.03398562967777252,
0.07466369867324829,
0.009646086022257805,
-0.005706332623958588,
-0.06655051559209824,
0.01621701382100582,
0.006739174481481314,
-0.0010474462760612369,
-0.005748394411057234,
0.06296127289533615,
-0.01708628423511982,
-0.015702931210398674,
0.01774057373404503,
-0.043930817395448685,
0.06483066827058792,
0.03077026642858982,
-0.009015164338052273,
0.051857057958841324,
0.011207032017409801,
-0.0024255418684333563,
0.004463184159249067,
0.011814585886895657,
-0.010720988735556602,
0.0388086698949337,
0.03746270760893822,
-0.06879378855228424,
0.029947731643915176,
-0.0312002282589674,
0.018002288416028023,
-0.03363044187426567,
0.013039040379226208,
-0.009767596609890461,
-0.024657340720295906,
0.01731995865702629,
0.0063185603357851505,
0.043482162058353424,
0.00876746978610754,
-0.03948165476322174,
-0.009370350278913975,
-0.044715963304042816,
-0.0487164743244648,
0.0018962690373882651,
-0.07369161397218704,
-0.02448909357190132,
0.014646722003817558,
-0.012151077389717102,
-0.01516080554574728,
0.012300629168748856,
0.05851211026310921,
0.047034017741680145,
-0.05062325671315193,
0.02613416314125061,
0.015057988464832306,
0.017936859279870987,
-0.0063279070891439915,
0.0005611110245808959,
-0.0040121921338140965,
0.029947731643915176,
0.003871987573802471,
-0.01652546599507332,
0.03536898270249367,
-0.002379975514486432,
-0.0010480304481461644,
-0.03396693617105484,
-0.023404844105243683,
-0.017011508345603943,
-0.03989292308688164,
-0.03675233572721481,
-0.009991924278438091,
0.035668086260557175,
0.03471469506621361,
0.004710879176855087,
-0.046361032873392105,
-0.04224836081266403,
0.05114668980240822,
0.02877001278102398,
-0.11066827178001404,
0.0018343452829867601,
0.0037317827809602022,
-0.006785909179598093,
-0.005907292943447828,
0.05234310403466225,
-0.002593787619844079,
0.031069369986653328,
-0.023180516436696053,
0.019796909764409065,
-0.07866420596837997,
-0.04153798893094063,
-0.04837998002767563,
0.023442232981324196,
-0.052754368633031845,
0.04793132469058037,
-0.036771029233932495,
-0.023629171773791313,
-0.0283400509506464,
-0.011777197942137718,
0.007949608378112316,
-0.014001780189573765,
-0.0031008615624159575,
0.002621828578412533,
-0.011263114400207996,
-0.03480816259980202,
-0.028302663937211037,
0.032564885914325714,
0.0010451094713062048,
0.004119682591408491,
0.005496025551110506,
0.016936732456088066,
0.10879887640476227,
-0.009730208665132523,
-0.008127201348543167,
-0.0027082881424576044,
-0.0061409673653542995,
-0.010777071118354797,
-0.030228141695261,
-0.020563362166285515,
-0.06412030011415482,
0.06991542875766754,
-0.015216887928545475,
0.047258343547582626,
0.0007436692831106484,
-0.0027082881424576044,
0.035331595689058304,
0.013581166043877602,
-0.0452393963932991,
0.04793132469058037,
0.04598715528845787,
-0.027162332087755203,
0.01895568147301674,
0.020432503893971443,
-0.015908563509583473,
0.014413046650588512,
-0.061802249401807785,
0.04916512966156006,
-0.05537152290344238,
0.02282533049583435,
0.02676975727081299,
0.004273907747119665,
-0.03151802346110344,
0.04490290582180023,
0.014702803455293179,
0.03518204391002655,
-0.01498321257531643,
0.02073160745203495,
0.03701405227184296,
-0.017815349623560905,
-0.024975137785077095,
-0.04632364585995674,
0.05372645705938339,
-0.014123290777206421,
0.008019710890948772,
-0.005911966320127249,
0.024676034227013588,
0.00515018729493022,
0.009132001549005508,
-0.012534303590655327,
-0.0196099691092968,
0.06064322218298912,
0.000054146777983987704,
0.0033485565800219774,
0.015674889087677002,
-0.056941818445920944,
-0.0121791185811162,
0.03959381952881813,
0.01644134148955345,
-0.01674044504761696,
0.0021241018548607826,
-0.030732879415154457,
0.05843733623623848,
0.0578017383813858,
-0.03177974000573158,
-0.013796146027743816,
-0.0425848513841629,
-0.020563362166285515,
-0.014497170224785805,
-0.009926495142281055,
0.09429235756397247,
-0.006827970966696739,
0.06449417769908905,
0.07488802075386047,
-0.03630368039011955,
-0.02361047826707363,
-0.051857057958841324,
-0.024433013051748276,
0.03807960823178291,
0.0483052060008049,
-0.047445282340049744,
-0.01974082738161087,
0.02802225388586521,
0.012169770896434784,
-0.026414573192596436,
-0.0035822310019284487,
-0.006818623747676611,
-0.03740662336349487,
-0.0321723148226738,
0.01898372173309326,
-0.03342480957508087,
-0.015086029656231403,
0.022881412878632545,
-0.04135105013847351,
-0.048230428248643875,
-0.034789469093084335,
-0.03546245023608208,
0.021217649802565575,
-0.00003618304617702961,
0.03609804809093475,
-0.0015796400839462876,
0.03041508048772812,
-0.0008418126381002367,
-0.011001398786902428,
0.03959381952881813,
-0.05107191205024719,
0.029854262247681618,
0.0025260220281779766,
0.013712023384869099,
0.03131239116191864,
-0.01323532685637474,
-0.0452393963932991,
0.020264258608222008,
-0.016506770625710487,
0.013515736907720566,
-0.013814840465784073,
-0.014992560259997845,
0.004322979599237442,
0.008145894855260849,
-0.07552362233400345,
-0.016282442957162857,
-0.005897946190088987,
0.005818496458232403,
-0.026190245524048805,
0.0036686905659735203,
-0.02733057737350464,
-0.031349778175354004,
-0.007038278039544821,
0.0003671611484605819,
-0.02546118013560772,
0.02503122016787529,
0.020039930939674377,
0.023068353533744812,
0.0509597472846508,
-0.015291663818061352,
-0.014852355234324932,
-0.030172059312462807,
-0.006552234757691622,
-0.009879760444164276,
-0.04344477504491806,
-0.026190245524048805,
-0.011076174676418304,
0.004526276141405106,
-0.03019075281918049,
-0.005799802485853434,
0.003500445047393441,
0.04165015369653702,
-0.013749411329627037,
0.001397373853251338,
-0.027629680931568146,
0.005888598971068859,
0.030714184045791626,
-0.00490716565400362,
-0.005187575239688158,
0.010562090203166008,
-0.003385944524779916,
-0.036658864468336105,
0.011665034107863903,
0.016151586547493935,
0.05204400047659874,
0.03693927451968193,
-0.02037642151117325,
0.032134927809238434,
0.024395624175667763,
0.03514465317130089,
-0.0018203248037025332,
0.012356710620224476,
-0.024208685383200645,
0.022133653983473778,
0.030714184045791626,
-0.016918038949370384,
0.01102009229362011,
-0.028956951573491096,
0.03933210298418999,
0.012281934730708599,
0.007870159111917019,
0.023984357714653015,
-0.06034411862492561,
0.00462909322232008,
0.07458891719579697,
-0.023647865280508995,
-0.040865007787942886,
-0.006514846812933683,
-0.04729573056101799,
-0.002670900197699666,
0.05245526507496834,
-0.0368645004928112,
-0.00636529503390193,
-0.04131366312503815,
0.06744782626628876,
-0.003593914909288287,
0.034546446055173874,
-0.03817307576537132,
0.056306224316358566,
0.003921058960258961,
0.029087809845805168,
0.006000762805342674,
0.0052763717249035835,
-0.004809022415429354,
0.004846410360187292,
0.00925351306796074,
-0.015095376409590244,
-0.011627646163105965,
-0.0018530392553657293,
0.006916766986250877,
-0.02458256483078003,
0.030059896409511566,
-0.009421758353710175,
-0.008482386358082294,
0.016796527430415154,
0.03755617514252663,
0.017235836014151573,
0.004624419845640659,
-0.013469002209603786,
0.01720779575407505,
0.04909035190939903,
-0.006014783401042223,
0.009080593474209309,
-0.0014744865475222468,
-0.0011882351245731115,
-0.029499076306819916,
-0.010057353414595127,
0.03185451775789261,
-0.011693075299263,
0.03508857265114784,
0.008010364137589931,
-0.010935969650745392,
-0.005014656111598015,
-0.011450053192675114,
0.004194458480924368,
0.031050676479935646,
0.031050676479935646,
-0.012571691535413265,
-0.05503503233194351,
0.004752940498292446,
0.016291789710521698,
0.02392827533185482,
-0.04852953180670738,
-0.014459782280027866,
0.020114706829190254,
0.009365676902234554,
0.015693584457039833,
-0.024657340720295906,
-0.015572072938084602,
0.005482005421072245,
-0.004402428865432739,
0.01240344624966383,
-0.06632618606090546,
0.024451706558465958,
0.03542506322264671,
-0.026545429602265358,
0.021124180406332016,
-0.04363171383738518,
0.013824187219142914,
0.005281045101583004,
0.0033625769428908825,
0.00016751544899307191,
0.0023869855795055628,
0.002330903662368655,
-0.0074308509938418865,
0.010225598700344563,
-0.03847217932343483,
0.02018948271870613,
-0.03824785351753235,
0.02127373218536377,
0.024937748908996582,
0.01124441996216774,
0.010608824901282787,
0.0498381108045578,
-0.019535193219780922,
0.02458256483078003,
-0.001678951783105731,
0.0020119380205869675,
-0.007986996322870255,
-0.021666305139660835,
-0.07657048106193542,
-0.0249190554022789,
0.012973612174391747,
-0.0243582371622324,
0.0038439466152340174,
0.009066573344171047,
-0.02877001278102398,
-0.010057353414595127,
0.028283968567848206,
0.0070616453886032104,
0.02568550780415535,
0.012197812087833881,
0.002204719465225935,
-0.016899343580007553,
-0.015459909103810787,
0.004925859626382589,
0.04770699888467789,
0.006570928730070591,
0.021666305139660835,
0.005094105377793312,
0.0010854183929041028,
0.04808087646961212,
0.014543904922902584,
-0.0009785122238099575,
0.03877128288149834,
0.0012384752044454217,
0.04815565422177315,
-0.026881922036409378,
-0.03157410770654678,
0.01918000727891922,
-0.003182647516950965,
-0.02733057737350464,
-0.019049150869250298,
0.025965917855501175,
0.024003051221370697,
0.019460417330265045,
0.016693711280822754,
0.009655432775616646,
0.015469255857169628,
0.030377693474292755,
0.021236345171928406,
-0.0254798736423254,
0.053090859204530716,
0.004584694746881723,
-0.011412665247917175,
-0.0121791185811162,
0.04082762077450752,
0.015805747359991074,
-0.027610985562205315,
-0.013852228410542011,
0.02746143564581871,
0.01129115466028452,
-0.022563615813851357,
-0.013254021294414997,
0.03518204391002655,
-0.009146022610366344,
0.01742277480661869,
0.017114324495196342,
-0.010431232862174511,
0.000003222153054593946,
0.007856138981878757,
-0.014768232591450214,
0.01696477271616459,
-0.056268833577632904,
-0.01349704246968031,
0.007201849948614836,
-0.00804775208234787,
0.015525338239967823,
0.014226107858121395,
-0.010571436956524849,
-0.012001525610685349,
0.05181967094540596,
0.03168627247214317,
-0.0418744832277298,
0.01897437497973442,
-0.023872192949056625,
0.022470146417617798,
-0.009608698077499866,
-0.005949354264885187,
0.010926622897386551,
-0.02514338307082653,
-0.051857057958841324,
0.013431614264845848,
0.002981687430292368,
0.031929291784763336,
-0.08688955008983612,
-0.012141730636358261,
0.07701913267374039,
-0.015226234681904316,
0.057166144251823425,
0.02116156928241253,
-0.005977395456284285,
0.030695490539073944,
0.022339288145303726,
0.006211069878190756,
-0.0161889735609293,
-0.0268071461468935,
-0.05234310403466225,
0.05765218660235405,
0.013011000119149685,
0.0018039676360785961,
-0.02590983547270298,
0.0036102719604969025,
0.03607935085892677,
-0.04894080013036728,
-0.008856265805661678,
0.00133661855943501,
0.03925732523202896,
0.005238983780145645,
-0.01466541551053524,
0.0027316557243466377,
-0.015730971470475197,
-0.004566000774502754,
0.050660643726587296,
0.009861066937446594,
0.032583579421043396,
-0.025517262518405914,
-0.0047295731492340565,
0.007066318765282631,
-0.023984357714653015,
0.006463438272476196,
0.029125196859240532,
0.0047903284430503845,
0.016160933300852776,
-0.007290646433830261,
0.030358999967575073,
-0.02579767256975174,
-0.07993539422750473,
0.06340993195772171,
-0.005514719523489475,
-0.0030728206038475037,
0.0037364563904702663,
-0.03549984097480774,
0.006856011692434549,
0.022301901131868362,
0.02501252479851246,
-0.020525973290205002,
0.03359305486083031,
-0.021984102204442024,
-0.040640681982040405,
0.007094359956681728,
0.03929471597075462,
-0.04520200937986374,
0.06165269762277603,
0.039519041776657104,
0.01644134148955345,
-0.051109299063682556,
0.003322852309793234,
0.00564557733014226,
0.010917275212705135,
0.005159534513950348,
0.0005187575588934124,
0.025554649531841278,
-0.010767724364995956,
0.030676797032356262,
-0.03725707158446312,
0.019030457362532616,
-0.035780251026153564,
0.04497767984867096,
-0.010365803726017475,
-0.019983848556876183,
-0.002829798962920904,
-0.0005841864040121436,
0.007496280129998922,
-0.01599268801510334,
0.0011146276956424117,
0.008136548101902008,
0.030396386981010437,
-0.011207032017409801,
-0.02622763253748417,
0.011300502344965935,
-0.03406040370464325,
-0.023853499442338943,
-0.008211323991417885,
0.00040513326530344784,
0.013749411329627037,
0.06486805528402328,
0.016731098294258118,
0.0023051996249705553,
-0.021479366347193718,
-0.05843733623623848,
0.009917148388922215,
0.033144399523735046,
0.018151840195059776,
0.05062325671315193,
-0.0075149741023778915,
-0.0019511826103553176,
0.0020282953046262264,
-0.03493902087211609,
0.02379741705954075,
0.03693927451968193,
-0.006687765941023827,
-0.04318305850028992,
-0.020451197400689125,
-0.04213619604706764,
-0.014693456701934338,
-0.02590983547270298,
-0.0062951925210654736,
-0.038434792309999466,
-0.005729700438678265,
-0.005753067787736654,
0.04654797166585922,
-0.02347961999475956,
-0.010281681083142757,
0.04049113020300865,
-0.01806771755218506,
-0.023535702377557755,
-0.036565396934747696,
0.01538513321429491,
-0.022993577644228935,
0.02183455042541027,
-0.021348508074879646,
-0.011870668269693851,
-0.04269701614975929,
0.000011492042176541872,
-0.008795510977506638,
-0.03475208207964897,
-0.006996216252446175,
-0.02534901723265648,
-0.007234564516693354,
0.026657594367861748,
-0.0036803744733333588,
-0.016833916306495667,
0.017572326585650444,
0.0021977091673761606,
0.01340357307344675,
-0.002998044714331627,
-0.04108933359384537,
-0.030284224078059196,
0.02546118013560772,
0.023741336539387703,
0.005435270257294178,
0.021778469905257225,
0.008393590338528156,
0.034340813755989075,
-0.01964735798537731,
-0.007486932910978794,
0.016590893268585205,
0.04920251667499542,
0.012618426233530045,
-0.03493902087211609,
-0.004297275096178055,
-0.08898327499628067,
0.03099459409713745,
0.00466180732473731,
-0.009066573344171047,
0.037855278700590134,
0.02622763253748417,
0.027517516165971756,
0.008669326081871986,
0.015226234681904316,
0.0121791185811162,
-0.022750556468963623,
0.013487695716321468,
0.0001085856492863968,
0.07571055740118027,
-0.01994646154344082,
0.03452775254845619,
-0.023760030046105385,
-0.014478475786745548,
-0.03888344764709473,
-0.05391339585185051,
-0.029386913403868675,
-0.009206777438521385,
0.03133108466863632,
-0.040304187685251236,
0.005290392320603132,
0.014824314042925835,
0.01125376671552658,
-0.02635849080979824,
-0.008239365182816982,
-0.018235962837934494,
-0.010094741359353065,
-0.023853499442338943,
-0.04389343038201332,
-0.03271443769335747,
0.00003172862489009276,
0.05167011916637421,
-0.031349778175354004,
0.02701278030872345,
0.008968429639935493,
0.044155146926641464,
-0.029405606910586357,
0.02280663698911667,
-0.051857057958841324,
-0.018357474356889725,
-0.013412919826805592,
0.02304965816438198,
0.017497550696134567,
-0.04374387860298157,
0.0175162460654974,
-0.0005450459429994226,
-0.016581546515226364,
0.04763222485780716,
-0.015852482989430428,
-0.015534684993326664,
0.01651611737906933,
0.017282571643590927,
0.009664779528975487,
0.054960258305072784,
0.007351401727646589,
0.019778214395046234,
0.019161313772201538,
-0.022993577644228935,
0.001677783322520554,
-0.0015924921026453376,
-0.00415940722450614,
-0.032153621315956116,
0.02028295211493969,
-0.037088826298713684,
-0.014525210484862328,
0.03166757524013519,
-0.02832135744392872,
-0.04378126561641693,
-0.002535369014367461,
-0.005033350083976984,
0.018058370798826218,
0.040192026644945145,
0.007664525881409645,
0.02501252479851246,
0.0077019138261675835,
-0.03948165476322174,
0.005711006466299295,
-0.030396386981010437,
-0.03297615423798561,
0.018460290506482124,
-0.033368729054927826,
-0.025535956025123596,
0.02546118013560772,
-0.022657085210084915,
-0.02581636607646942,
-0.010019965469837189,
0.05181967094540596,
-0.04015463590621948,
0.003135912586003542,
-0.043482162058353424,
-0.019778214395046234,
-0.01696477271616459,
0.029592547565698624,
-0.06415768712759018,
-0.0036593435797840357,
-0.04535156115889549,
0.006879379041492939,
-0.012057607062160969,
-0.027928784489631653,
0.02018948271870613,
0.01674979366362095,
0.030695490539073944,
0.04583760350942612,
0.01631983183324337,
-0.04236052557826042,
0.03508857265114784,
0.017572326585650444,
0.04621148109436035,
-0.015917912125587463,
0.045388948172330856,
-0.014011126942932606,
0.02577897720038891,
-0.0346212238073349,
0.01339422632008791,
-0.0044211228378117085,
0.005883925594389439,
-0.04363171383738518,
-0.005711006466299295,
0.006706459913402796,
0.03508857265114784,
-0.053427353501319885,
-0.04587499052286148,
-0.006893399637192488,
0.003907038830220699,
-0.008800184354186058,
0.00133661855943501,
-0.009608698077499866,
0.0003154606674797833,
0.04322044551372528,
-0.026732370257377625,
0.056829653680324554,
0.01819857582449913,
-0.016675017774105072,
0.04022941365838051,
0.004991288762539625,
-0.022993577644228935,
-0.016908692196011543,
-0.08621656894683838,
-0.021124180406332016,
-0.00953392218798399,
-0.01707693748176098,
-0.031050676479935646,
0.0007863148930482566,
-0.036883193999528885,
0.000987859209999442,
0.03331264480948448,
-0.02073160745203495,
0.022339288145303726,
-0.015927258878946304,
0.023292681202292442,
0.018880905583500862
] |
Our ultimate goal is to build robust policies for robots that assist people.
What makes this hard is that people can behave unexpectedly at test time,
potentially interacting with the robot outside its training distribution and
leading to failures. Even just measuring robustness is a challenge. Adversarial
perturbations are the default, but they can paint the wrong picture: they can
correspond to human motions that are unlikely to occur during natural
interactions with people. A robot policy might fail under small adversarial
perturbations but work under large natural perturbations. We propose that
capturing robustness in these interactive settings requires constructing and
analyzing the entire natural-adversarial frontier: the Pareto-frontier of human
policies that are the best trade-offs between naturalness and low robot
performance. We introduce RIGID, a method for constructing this frontier by
training adversarial human policies that trade off between minimizing robot
reward and acting human-like (as measured by a discriminator). On an Assistive
Gym task, we use RIGID to analyze the performance of standard collaborative
Reinforcement Learning, as well as the performance of existing methods meant to
increase robustness. We also compare the frontier RIGID identifies with the
failures identified in expert adversarial interaction, and with
naturally-occurring failures during user interaction. Overall, we find evidence
that RIGID can provide a meaningful measure of robustness predictive of
deployment performance, and uncover failure cases in human-robot interaction
that are difficult to find manually. https://ood-human.github.io. | [
-0.02226613648235798,
-0.020830264315009117,
-0.04109426960349083,
-0.03395535424351692,
0.044006459414958954,
0.006051899399608374,
-0.052864380180835724,
0.01912137307226658,
-0.07284525036811829,
0.030578019097447395,
-0.021396523341536522,
0.001890902640298009,
0.07215765118598938,
-0.02602771855890751,
-0.03662486374378204,
0.019455062225461006,
0.011355527676641941,
-0.017584383487701416,
-0.014429507777094841,
-0.03330820053815842,
0.0247536338865757,
-0.019313497468829155,
-0.04473450779914856,
0.05941681191325188,
0.014399172738194466,
0.005450248718261719,
0.010293791070580482,
0.004322785418480635,
-0.05500807613134384,
0.049264583736658096,
0.0249154232442379,
0.01553169172257185,
-0.00992976687848568,
0.001270292210392654,
0.018636008724570274,
0.005510919261723757,
0.03371267020702362,
0.0751911848783493,
-0.007027686107903719,
0.07688996195793152,
-0.017442818731069565,
0.020830264315009117,
-0.025582799687981606,
-0.0372113436460495,
-0.022003229707479477,
-0.024854751303792,
-0.03599793091416359,
0.018514666706323624,
0.010799379087984562,
0.0003298967785667628,
-0.0027124846819788218,
-0.011497092433273792,
0.04222678765654564,
-0.02049657516181469,
-0.003384917974472046,
0.002091874135658145,
0.08995438367128372,
-0.015157556161284447,
0.07138915359973907,
0.009955045767128468,
-0.006506929639726877,
-0.011972345411777496,
-0.036887768656015396,
-0.012194804847240448,
0.05189364776015282,
-0.015157556161284447,
0.050235316157341,
0.006987239234149456,
-0.02873767539858818,
-0.008847806602716446,
-0.04586702957749367,
-0.00774056650698185,
-0.061600957065820694,
-0.02471318654716015,
-0.02043590508401394,
0.023257091641426086,
0.06317839026451111,
0.025481682270765305,
0.012932964600622654,
-0.03478451818227768,
0.024288492277264595,
0.020425792783498764,
-0.0021854082588106394,
-0.03399579972028732,
0.06536253541707993,
-0.02242792584002018,
0.060468435287475586,
-0.07365419715642929,
0.029243264347314835,
-0.050316210836172104,
-0.03522943705320358,
0.05565522983670235,
0.0012898837449029088,
-0.04190320894122124,
-0.01247793436050415,
0.03251947835087776,
-0.022084124386310577,
0.0070377979427576065,
-0.037959616631269455,
-0.003953705541789532,
0.010374684818089008,
-0.002225855365395546,
-0.007684951648116112,
0.016866447404026985,
-0.026411965489387512,
-0.01432839035987854,
-0.04639283940196037,
0.03330820053815842,
0.011365639045834541,
0.1873510330915451,
-0.00810964684933424,
0.003407669486477971,
-0.025400787591934204,
0.03255992755293846,
-0.0755147635936737,
-0.011385862715542316,
-0.03320708125829697,
-0.06746578961610794,
0.035290107131004333,
-0.0374944768846035,
-0.0006209263810887933,
0.03466317802667618,
0.061479613184928894,
-0.02980952337384224,
-0.024854751303792,
0.014156489633023739,
-0.006891177035868168,
0.03763604164123535,
0.013721683993935585,
0.05638327822089195,
-0.008595012128353119,
-0.0035163708962500095,
-0.005551366601139307,
-0.0005236005526967347,
0.04210544750094414,
0.041781868785619736,
0.03694843873381615,
-0.007295648101717234,
-0.025400787591934204,
0.06495806574821472,
0.0035669298376888037,
-0.0028414097614586353,
-0.04068979620933533,
0.06823427975177765,
-0.046635523438453674,
0.034359823912382126,
-0.04089203104376793,
0.06609058380126953,
-0.048172514885663986,
0.027787167578935623,
-0.0630974993109703,
0.05432047322392464,
0.02228635922074318,
0.026755766943097115,
0.041620079427957535,
-0.029364604502916336,
-0.02752426080405712,
0.005960893351584673,
0.025137880817055702,
0.01630018651485443,
0.07866963744163513,
0.002086818218231201,
-0.0023269730154424906,
0.08898365497589111,
0.019353944808244705,
0.04841519519686699,
0.049102798104286194,
-0.02382335066795349,
-0.030335335060954094,
0.057879820466041565,
-0.052823930978775024,
-0.034177809953689575,
0.018636008724570274,
0.03381378948688507,
0.029506169259548187,
0.03401602432131767,
0.031912773847579956,
-0.0019844365306198597,
0.008691073395311832,
-0.03409691900014877,
-0.03476429358124733,
-0.029303934425115585,
0.017837177962064743,
0.01634063385426998,
0.018342766910791397,
0.04396601393818855,
0.0626930296421051,
-0.003812140552327037,
0.019212380051612854,
0.00784168392419815,
0.03351043537259102,
-0.010617367923259735,
-0.021538088098168373,
0.00988931953907013,
0.008832638151943684,
-0.044249143451452255,
0.012568940408527851,
-0.0501948706805706,
0.014156489633023739,
0.022650383412837982,
0.0038753391709178686,
-0.03003198280930519,
-0.050397105515003204,
-0.014449731446802616,
0.07049932330846786,
0.00501038646325469,
0.02378290332853794,
-0.009242165833711624,
0.014621632173657417,
-0.06669729202985764,
-0.004514909349381924,
-0.052743036299943924,
-0.05334974452853203,
-0.017604606226086617,
-0.05448226258158684,
-0.007250145077705383,
-0.004995218478143215,
-0.0023535164073109627,
-0.0124172642827034,
-0.020810039713978767,
-0.02639174275100231,
0.001298099523410201,
-0.009575854055583477,
-0.010708373971283436,
-0.04202455282211304,
0.03258015215396881,
0.005207566078752279,
0.012781288474798203,
-0.00372366257943213,
0.04344020038843155,
-0.053026165813207626,
-0.02625017799437046,
0.05193409323692322,
-0.00008160521247191355,
0.035290107131004333,
0.0498308464884758,
-0.02097182907164097,
-0.010718485340476036,
0.026715319603681564,
-0.0006281942478381097,
-0.028151191771030426,
-0.009464624337852001,
-0.02867700345814228,
0.006997350603342056,
0.0866377204656601,
0.003776749363169074,
-0.015774374827742577,
0.08259300887584686,
0.007932689972221851,
0.024571621790528297,
-0.033126186579465866,
0.012973411940038204,
-0.040386442095041275,
0.02347954921424389,
-0.012659946456551552,
0.06232900172472,
0.01969774439930916,
-0.029587063938379288,
0.006972071249037981,
-0.009656748734414577,
0.05820339918136597,
0.10443445295095444,
0.02390424534678459,
0.021841442212462425,
-0.02742314338684082,
-0.004666585940867662,
0.018575336784124374,
0.03120494820177555,
0.01247793436050415,
-0.001129991258494556,
-0.02131562866270542,
-0.02103249914944172,
-0.015986721962690353,
-0.024854751303792,
-0.022994184866547585,
-0.007593945600092411,
0.07151050120592117,
-0.026432190090417862,
0.054158687591552734,
-0.02113361656665802,
0.0372922383248806,
-0.04119538515806198,
0.03947638347744942,
-0.03223634883761406,
-0.001631788327358663,
-0.025825481861829758,
-0.02758493274450302,
0.01562269777059555,
-0.061641402542591095,
-0.04093248024582863,
-0.007022630423307419,
0.010465690866112709,
-0.0249356459826231,
0.015390126965939999,
0.03470362350344658,
0.0033469987101852894,
-0.027625378221273422,
-0.018039412796497345,
0.02378290332853794,
0.0050078583881258965,
0.013428442180156708,
-0.005053361412137747,
0.00849894993007183,
-0.008246155455708504,
-0.0005634156404994428,
-0.005002802237868309,
0.006137849763035774,
0.036564189940690994,
0.01703834719955921,
-0.05735400691628456,
-0.005692931357771158,
0.03490585833787918,
-0.038202300667762756,
-0.0007501675863750279,
0.009818537160754204,
0.033065516501665115,
0.035411447286605835,
-0.020243780687451363,
0.010172449052333832,
-0.007998417131602764,
-0.02873767539858818,
-0.026472635567188263,
-0.09068243205547333,
0.02736247330904007,
0.015096885152161121,
-0.03747425228357315,
-0.0030234218575060368,
0.013104865327477455,
-0.03854610025882721,
-0.025744589045643806,
-0.04246947169303894,
0.00020823943486902863,
-0.01314531173557043,
-0.01613839901983738,
-0.029243264347314835,
-0.03642262518405914,
-0.031791433691978455,
0.04699954763054848,
0.017604606226086617,
-0.04255036264657974,
0.0006149225519038737,
-0.016006944701075554,
0.03316663205623627,
-0.015693480148911476,
-0.007042853627353907,
-0.04849608987569809,
0.014217160642147064,
0.001141999033279717,
-0.005445192568004131,
0.015713704749941826,
0.001279772026464343,
-0.008074255660176277,
0.0060468437150120735,
0.016350746154785156,
0.04853653907775879,
0.016583316028118134,
0.019030367955565453,
-0.01188134029507637,
-0.009970213286578655,
-0.04631194472312927,
0.04728267714381218,
-0.05262169614434242,
-0.07915500551462173,
0.04748491197824478,
-0.06973082572221756,
0.0030891483183950186,
-0.03207456320524216,
-0.015329455956816673,
0.005935613997280598,
0.01489465031772852,
-0.0374135822057724,
0.016148511320352554,
0.026735542342066765,
-0.03324752673506737,
-0.04242902249097824,
0.014035148546099663,
0.03828319534659386,
0.014055372215807438,
-0.06629282236099243,
0.030396007001399994,
-0.02999153546988964,
-0.005020498298108578,
-0.05881010368466377,
-0.019525844603776932,
0.010415132157504559,
0.056706853210926056,
-0.002823714166879654,
0.025663694366812706,
0.030942043289542198,
0.03003198280930519,
0.03146785497665405,
-0.031589195132255554,
-0.04388511925935745,
-0.010485914535820484,
0.023964915424585342,
-0.023924468085169792,
0.01804952509701252,
0.009383730590343475,
0.009803369641304016,
-0.011284745298326015,
-0.0014295526780188084,
0.024227822199463844,
-0.005758658051490784,
0.023964915424585342,
0.022994184866547585,
-0.000887940579559654,
-0.0005356082692742348,
-0.01607772707939148,
-0.021477418020367622,
0.02980952337384224,
-0.024349162355065346,
-0.022731278091669083,
0.02370200864970684,
0.01977863907814026,
-0.017078794538974762,
0.009242165833711624,
0.018898913636803627,
-0.004618554841727018,
0.020425792783498764,
-0.06556477397680283,
-0.022023454308509827,
0.01697767712175846,
0.06609058380126953,
-0.006982183083891869,
-0.04218634217977524,
0.02103249914944172,
-0.02972862869501114,
0.011294856667518616,
0.0006673773750662804,
-0.06633326411247253,
0.018180977553129196,
0.015218227170407772,
-0.006385588087141514,
-0.06483672559261322,
0.025198552757501602,
0.007947858422994614,
0.0025519600603729486,
0.05310706049203873,
0.016047392040491104,
0.055412545800209045,
-0.009186550974845886,
-0.0055260867811739445,
-0.013630677945911884,
-0.010536473244428635,
-0.012862182222306728,
-0.0630974993109703,
0.006562544498592615,
-0.04081114009022713,
0.005612037144601345,
0.005834496114403009,
-0.049264583736658096,
-0.0005792152951471508,
-0.06143916770815849,
-0.024187374860048294,
0.04344020038843155,
-0.04275260120630264,
0.040447115898132324,
-0.03840453550219536,
0.013822801411151886,
-0.043076176196336746,
0.033146411180496216,
0.0372922383248806,
0.022144794464111328,
-0.0012728201691061258,
0.0034632841125130653,
0.07062066346406937,
-0.022994184866547585,
-0.03577547147870064,
0.004772759508341551,
0.028130967170000076,
-0.035371001809835434,
-0.009196662344038486,
-0.02487497590482235,
-0.003079036483541131,
0.03702933341264725,
0.058122504502534866,
-0.01171955093741417,
-0.0373326875269413,
0.052985720336437225,
-0.02349977381527424,
0.011102733202278614,
-0.0019048062385991216,
0.011871227994561195,
-0.03266104310750961,
0.02754448540508747,
-0.002757987705990672,
0.06726355105638504,
-0.020729146897792816,
-0.025623247027397156,
-0.024854751303792,
0.007715287152677774,
-0.026775989681482315,
-0.0023080133832991123,
-0.008873085491359234,
-0.01375201903283596,
-0.02756470814347267,
-0.027665825560688972,
-0.04780849069356918,
0.05096336454153061,
0.006870953366160393,
0.04396601393818855,
-0.04194365814328194,
-0.02372223325073719,
0.010005604475736618,
-0.0024419946130365133,
0.010248287580907345,
0.010870162397623062,
0.055372100323438644,
0.01665410026907921,
-0.020789816975593567,
0.01486431434750557,
-0.013468889519572258,
-0.003187738126143813,
-0.048091620206832886,
0.03197344392538071,
-0.00039277938776649535,
0.0021866720635443926,
-0.015137332491576672,
0.05104425922036171,
0.007573722396045923,
-0.0018706790870055556,
0.02103249914944172,
-0.013256541453301907,
0.02873767539858818,
-0.04115493968129158,
0.046716418117284775,
0.006228855811059475,
-0.02366156131029129,
-0.0009397634421475232,
0.0020716506987810135,
-0.0371708981692791,
0.031508300453424454,
-0.039051689207553864,
-0.005723266862332821,
0.018221424892544746,
-0.013246430084109306,
0.03476429358124733,
0.05974038690328598,
-0.01794840767979622,
-0.008741633035242558,
-0.014409284107387066,
0.050235316157341,
0.012437487952411175,
0.004871349316090345,
-0.019313497468829155,
0.02606816589832306,
0.026614202186465263,
-0.025481682270765305,
-0.016866447404026985,
0.021962782368063927,
-0.008817470632493496,
-0.00529857212677598,
-0.01936405524611473,
0.011446533724665642,
-0.0028692171908915043,
-0.01180044561624527,
-0.018201202154159546,
0.03494630753993988,
-0.008276490494608879,
-0.05452271178364754,
0.018039412796497345,
0.009727531112730503,
-0.026998449116945267,
0.0051570069044828415,
0.03239813819527626,
-0.024349162355065346,
0.01804952509701252,
0.07001395523548126,
0.018019190058112144,
0.012326258234679699,
-0.03211500868201256,
-0.03520921245217323,
-0.0074827163480222225,
-0.012801512144505978,
0.03579569607973099,
-0.008230987936258316,
-0.02980952337384224,
-0.029324157163500786,
-0.03494630753993988,
-0.016249628737568855,
-0.028414098545908928,
-0.02505698800086975,
-0.009757866151630878,
0.009373619221150875,
-0.007710231002420187,
0.0036225446965545416,
-0.020628027617931366,
-0.06079201400279999,
0.024854751303792,
-0.025198552757501602,
0.003807084634900093,
0.06099424883723259,
0.007427101489156485,
0.050397105515003204,
-0.041781868785619736,
-0.01827198453247547,
0.014702525921165943,
0.0017594494856894016,
0.019869644194841385,
-0.02360089123249054,
0.014308166690170765,
0.01615862175822258,
0.054037343710660934,
0.025137880817055702,
-0.03620016574859619,
0.0007849268149584532,
0.04825340583920479,
0.0039612893015146255,
-0.0003055653069168329,
-0.008635458536446095,
0.012225139886140823,
0.012316145934164524,
-0.007250145077705383,
-0.034460943192243576,
0.044127803295850754,
-0.016087839379906654,
-0.00840794388204813,
0.011476868763566017,
-0.012113911099731922,
-0.039213478565216064,
0.012174581177532673,
-0.0042975060641765594,
0.045219872146844864,
0.024692963808774948,
0.00513931130990386,
0.057798925787210464,
0.005182286724448204,
-0.010819602757692337,
0.015400239266455173,
0.008104590699076653,
-0.010738709010183811,
0.01819108985364437,
-0.04267170652747154,
-0.015875492244958878,
0.0248345285654068,
0.014459843747317791,
0.008802303113043308,
0.06075156480073929,
0.025299670174717903,
-0.02631084807217121,
-0.03474407270550728,
0.009237109683454037,
0.021598758175969124,
0.06329973042011261,
-0.026755766943097115,
0.03715067356824875,
0.025400787591934204,
-0.006097402423620224,
0.03581592068076134,
0.012892517261207104,
-0.007194530684500933,
-0.006956903729587793,
0.016906894743442535,
0.03571480140089989,
0.014156489633023739,
0.013570006936788559,
-0.0010434091091156006,
0.000733103952370584,
-0.025340117514133453,
-0.002399019431322813,
0.030335335060954094,
-0.022043677046895027,
0.005713155027478933,
0.025239000096917152,
0.015471021644771099,
0.013802577741444111,
0.04598836973309517,
0.025643469765782356,
-0.01358011830598116,
0.06406822800636292,
-0.009090488776564598,
-0.007250145077705383,
-0.03870788961648941,
0.008524229750037193,
0.028151191771030426,
-0.002263774396851659,
0.023115525022149086,
0.014682302251458168,
0.00744732515886426,
-0.03268126770853996,
0.00022072116553317755,
-0.029485946521162987,
-0.007315871771425009,
-0.020890934392809868,
-0.03603838011622429,
-0.018858466297388077,
0.029142145067453384,
0.01981908641755581,
-0.01304419431835413,
-0.018383214250206947,
-0.023216644302010536,
0.003804556792601943,
-0.011658880859613419,
0.006486705970019102,
-0.01255882903933525,
0.042873941361904144,
-0.017361924052238464,
-0.06321883946657181,
0.03706977888941765,
-0.027969179674983025,
-0.04323796555399895,
0.0094444015994668,
0.010485914535820484,
0.01856522634625435,
0.018696678802371025,
-0.011992569081485271,
-0.0062844702042639256,
0.02113361656665802,
0.01693722978234291,
0.0006844410090707242,
-0.020870711654424667,
0.03652374446392059,
-0.004962355364114046,
0.01237681694328785,
0.01303408294916153,
0.0750293955206871,
0.026452412828803062,
-0.03626083955168724,
0.009944934397935867,
0.03506764769554138,
0.04578613489866257,
0.005222733598202467,
0.0494263730943203,
-0.041781868785619736,
-0.04748491197824478,
-0.007275424897670746,
-0.007619224954396486,
-0.05492718145251274,
-0.03945615887641907,
-0.012801512144505978,
0.07142960280179977,
-0.04099315032362938,
-0.03342954069375992,
0.01561258640140295,
-0.010334237478673458,
-0.004499741364270449,
-0.0033394149504601955,
0.04598836973309517,
0.004944659769535065,
-0.011911675333976746,
0.030598241835832596,
-0.02256949059665203,
0.050397105515003204,
-0.011072397232055664,
0.007927634753286839,
-0.0498308464884758,
0.02097182907164097,
0.03100271336734295,
0.006375476252287626,
-0.0009972741827368736,
0.05262169614434242,
0.021800994873046875,
0.044168248772621155,
-0.02039545774459839,
-0.03975951299071312,
-0.03462272882461548,
0.0498712919652462,
-0.05755624547600746,
-0.00036434002686291933,
0.015754150226712227,
-0.03891012445092201,
0.06014486029744148,
0.0014889594167470932,
0.015066550113260746,
0.026654647663235664,
0.00004984790939488448,
-0.015410350635647774,
-0.03365200012922287,
0.024369386956095695,
0.0011527427705004811,
0.01842365972697735,
0.014085707254707813,
0.03854610025882721,
-0.030557794496417046,
0.017442818731069565,
-0.019252825528383255,
0.007796181365847588,
0.0010655287187546492,
-0.029405051842331886,
0.005566534120589495,
-0.03276216238737106,
-0.0247536338865757,
-0.06900277733802795,
0.01848433166742325,
-0.004246946889907122,
0.008524229750037193,
-0.02129540592432022,
-0.010207840241491795,
0.03516876697540283,
0.005612037144601345,
-0.022852620109915733,
-0.04133694991469383,
0.02222568914294243,
0.01317564770579338,
0.04210544750094414,
-0.01122407428920269,
-0.015369903296232224,
0.06867919862270355,
-0.014591296203434467,
-0.024045810103416443,
0.037898946553468704,
-0.019010143354535103,
-0.02141674794256687,
0.030476899817585945,
0.018160754814743996,
0.014217160642147064,
-0.006582767702639103,
0.02752426080405712,
-0.005809216760098934,
0.05084202438592911,
0.03262059763073921,
0.0029855025932192802,
-0.027706272900104523,
0.034339599311351776,
-0.030598241835832596,
-0.03973928838968277,
0.03260037302970886,
0.003523954888805747,
0.02972862869501114,
-0.006016508210450411,
-0.027787167578935623,
-0.04501763731241226,
-0.007993360981345177,
0.028980357572436333,
0.009762922301888466,
-0.0069215125404298306,
0.035451896488666534,
0.0008664530469104648,
0.019626962020993233,
-0.011577986180782318,
0.004072519019246101,
0.09230031818151474,
-0.035553012043237686,
-0.008554564788937569,
-0.03100271336734295,
0.005652484018355608,
-0.020132550969719887,
0.013165535405278206,
0.021861664950847626,
0.02970840595662594,
-0.016391193494200706,
-0.028939910233020782,
-0.05310706049203873,
-0.04339975491166115,
0.011820669285953045,
-0.02037523314356804,
-0.016967564821243286,
0.01673499308526516,
0.003324247198179364,
-0.0031169557478278875,
-0.015400239266455173,
-0.004335424862802029,
0.045300766825675964,
-0.01806974783539772,
-0.034278929233551025,
0.024551399052143097,
-0.001438400475308299,
0.06111558899283409,
-0.054199133068323135,
-0.017766395583748817,
-0.01806974783539772,
0.009237109683454037,
-0.02244814857840538,
0.013367771171033382,
0.012285810895264149,
0.010849938727915287,
0.019060702994465828,
-0.05986173078417778,
-0.024146927520632744,
-0.02972862869501114,
0.00559181347489357,
0.025906376540660858,
-0.009717418812215328,
0.026775989681482315,
0.010157281532883644,
0.03476429358124733,
0.007204642053693533,
-0.005627204664051533,
-0.03387445956468582,
-0.021538088098168373,
0.01786751300096512,
0.05456315726041794,
0.03508787229657173,
-0.016623763367533684,
0.02616928331553936,
-0.028191639110445976,
0.010202785022556782,
0.03239813819527626,
-0.023337984457612038,
-0.04234812781214714,
0.0002068174653686583,
0.03120494820177555,
-0.03498675301671028,
-0.014257607981562614,
0.027119791135191917,
0.035350777208805084,
-0.026937779039144516,
0.00439862348139286,
-0.019515732303261757,
0.016421528533101082,
-0.0012601803755387664,
-0.011294856667518616,
-0.024268269538879395,
-0.0006692733732052147,
0.0310431607067585,
0.036705754697322845,
0.009302835911512375,
-0.0024154512211680412,
0.03611927479505539,
0.004464350175112486,
-0.02989041805267334,
-0.07086334377527237,
0.01729114167392254,
0.003190266201272607,
0.031589195132255554,
0.00774562219157815,
-0.012720617465674877,
-0.016431640833616257,
0.04097292572259903,
0.025764811784029007,
-0.0017784091178327799,
0.037797827273607254,
-0.016947340220212936,
0.013276765123009682,
-0.04246947169303894,
0.0250974353402853,
-0.02384357340633869,
-0.0003700279048644006,
0.02995108813047409,
0.05339019000530243,
-0.003963817376643419,
0.02366156131029129,
-0.02380312606692314,
0.036503519862890244,
0.03316663205623627,
0.0620054267346859,
0.009858984500169754,
-0.0034885636996477842,
-0.012680170126259327,
-0.024531174451112747,
-0.025481682270765305,
-0.02125495858490467,
0.0021222096402198076,
-0.011456645093858242,
0.045503005385398865,
-0.0375349223613739,
0.017119241878390312,
0.023236867040395737,
-0.01878768391907215,
-0.007032741792500019,
-0.015895716845989227,
-0.01428794302046299,
0.005859775468707085,
-0.03154874965548515,
-0.08008528500795364,
0.02378290332853794,
-0.020749369636178017,
-0.00025026651564985514,
-0.04720178246498108,
0.04732312262058258,
-0.020264003425836563,
-0.005697987042367458,
-0.03986063227057457,
0.005121615715324879,
-0.04105382040143013,
0.02993086539208889,
-0.010627479292452335,
-0.06536253541707993,
-0.03990107774734497,
-0.011830780655145645,
-0.023378431797027588,
0.022043677046895027,
-0.02972862869501114,
-0.0005179126746952534,
0.005627204664051533,
0.04083136096596718,
-0.016967564821243286,
-0.01605750434100628,
-0.02627040073275566,
0.008145038038492203,
0.007128803990781307,
-0.03498675301671028,
-0.007836628705263138,
-0.01068815030157566,
-0.031710539013147354,
-0.024106480181217194,
0.012670058757066727,
0.02103249914944172,
-0.058041609823703766,
0.010425243526697159,
-0.0034329488407820463,
-0.01985953375697136,
-0.020668474957346916,
-0.04226723313331604,
-0.025663694366812706,
0.0072905924171209335,
0.008180429227650166,
0.010329182259738445,
0.017857400700449944,
0.0027402921114116907,
-0.03007243014872074,
0.012922853231430054,
-0.03227679803967476,
0.07001395523548126,
0.006350196897983551,
0.01675521768629551,
0.04732312262058258,
0.02250881865620613,
-0.019687632098793983,
0.01613839901983738,
-0.0018580392934381962,
0.00202993955463171,
0.011861116625368595,
-0.013104865327477455,
-0.045300766825675964,
0.02039545774459839,
-0.0745440348982811,
0.03640240430831909,
-0.008711297065019608,
-0.017230471596121788,
0.03959772363305092,
-0.0037716934457421303,
0.032964397221803665,
-0.01733158901333809
] |
Deploying Machine Learning as a Service gives rise to model plagiarism,
leading to copyright infringement. Ownership testing techniques are designed to
identify model fingerprints for verifying plagiarism. However, previous works
often rely on overfitting or robustness features as fingerprints, lacking
theoretical guarantees and exhibiting under-performance on generalized models.
In this paper, we propose a novel ownership testing method called VeriDIP,
which verifies a DNN model's intellectual property. VeriDIP makes two major
contributions. (1) It utilizes membership inference attacks to estimate the
lower bound of privacy leakage, which reflects the fingerprint of a given
model. The privacy leakage fingerprints highlight the unique patterns through
which the models memorize sensitive training datasets. (2) We introduce a novel
approach using less private samples to enhance the performance of ownership
testing.
Extensive experimental results confirm that VeriDIP is effective and
efficient in validating the ownership of deep learning models trained on both
image and tabular datasets. VeriDIP achieves comparable performance to
state-of-the-art methods on image datasets while significantly reducing
computation and communication costs. Enhanced VeriDIP demonstrates superior
verification performance on generalized deep learning models, particularly on
table-trained models. Additionally, VeriDIP exhibits similar effectiveness on
utility-preserving differentially private models compared to non-differentially
private baselines. | [
-0.0409187376499176,
-0.04038640111684799,
-0.035063061863183975,
-0.06068607047200203,
0.03217071667313576,
-0.021488547325134277,
-0.0019496730528771877,
0.011187884956598282,
0.016715286299586296,
0.033909671008586884,
-0.03337733820080757,
-0.039499178528785706,
0.03925075754523277,
-0.10930590331554413,
-0.012855865061283112,
0.0003277180949226022,
-0.005447550676763058,
-0.022038625553250313,
0.010717656463384628,
-0.026563463732600212,
0.04971998929977417,
-0.026971586048603058,
0.019998012110590935,
-0.02255321480333805,
0.014887605793774128,
0.03600351884961128,
-0.011418563313782215,
0.0023711042013019323,
-0.06011824682354927,
0.04400627315044403,
0.057563044130802155,
0.04258671775460243,
-0.04485800862312317,
-0.014506099745631218,
-0.015073923394083977,
-0.03598577529191971,
0.012279169633984566,
-0.004081226885318756,
0.011542774736881256,
0.019802823662757874,
-0.0011140196584165096,
-0.06427045166492462,
-0.029331600293517113,
0.04968450218439102,
0.0035866000689566135,
-0.03069792501628399,
4.548751917354821e-7,
-0.033057939261198044,
-0.03312891721725464,
0.01172909140586853,
-0.016014380380511284,
-0.03790217638015747,
0.03279177099466324,
-0.02374209463596344,
0.01893334463238716,
0.03442426025867462,
0.046880874782800674,
0.010096600279211998,
0.024132471531629562,
-0.08524440973997116,
-0.030094612389802933,
-0.005536273121833801,
-0.003415809478610754,
0.005363264586776495,
0.0034557345788925886,
0.01726536452770233,
0.003577727824449539,
0.03307568281888962,
0.030431756749749184,
-0.02526811882853508,
-0.026705419644713402,
-0.022464493289589882,
0.019483422860503197,
0.0211691465228796,
-0.01044261734932661,
-0.023422693833708763,
0.0340338833630085,
0.015650618821382523,
0.030343035236001015,
-0.019767334684729576,
0.006392443552613258,
0.040067002177238464,
-0.0001874259178293869,
0.0060907877050340176,
0.06224758177995682,
0.02851535566151142,
-0.01134758535772562,
-0.06238953769207001,
0.016573330387473106,
-0.06093449145555496,
-0.0330224484205246,
-0.03910880163311958,
0.0312657468020916,
-0.01678626425564289,
0.017531530931591988,
0.02874603308737278,
-0.01513602863997221,
-0.026421507820487022,
-0.03925075754523277,
-0.03586156293749809,
-0.022996826097369194,
0.03932173550128937,
-0.009617500007152557,
-0.01608535833656788,
-0.03619870916008949,
-0.036109987646341324,
-0.028213700279593468,
0.04709380865097046,
0.007936212234199047,
0.12846992909908295,
-0.01678626425564289,
0.006427932530641556,
-0.008645990863442421,
-0.010407128371298313,
0.0111080352216959,
0.028958966955542564,
-0.05955042317509651,
-0.028231443837285042,
0.036447130143642426,
-0.09929802268743515,
-0.03744082152843475,
0.02230479195713997,
0.012279169633984566,
0.06256698071956635,
-0.013627748936414719,
0.05376572906970978,
-0.02608436346054077,
-0.004209874197840691,
0.01525136735290289,
0.0074659837409853935,
-0.017744464799761772,
0.0037396459374576807,
0.01260744221508503,
-0.013734215870499611,
0.009972389787435532,
0.003083100775256753,
0.0003784561704378575,
0.025427818298339844,
-0.002477570902556181,
0.03259658068418503,
0.04691636562347412,
-0.004795441869646311,
-0.005984320770949125,
0.06096998229622841,
0.034016139805316925,
0.024256683886051178,
0.010575701482594013,
0.05986982583999634,
0.0029766340740025043,
-0.015845807269215584,
-0.04201889410614967,
0.047164786607027054,
0.047306742519140244,
0.033909671008586884,
0.04013798013329506,
0.08084378391504288,
-0.014302038587629795,
0.005762515123933554,
-0.022659681737422943,
-0.030999580398201942,
0.042693182826042175,
-0.04063482582569122,
0.006006501615047455,
0.06352518498897552,
0.008073731325566769,
0.06100546941161156,
0.05181383714079857,
0.0034135915338993073,
-0.02684737555682659,
0.037831198424100876,
-0.0374763086438179,
-0.008118093013763428,
0.008175762370228767,
-0.030396267771720886,
-0.04081226885318756,
0.0071510192938148975,
-0.00842418521642685,
-0.06501571834087372,
-0.0010557956993579865,
-0.040741290897130966,
-0.04556778445839882,
0.02789429947733879,
0.012917970307171345,
-0.014958583749830723,
0.026048874482512474,
0.03293372690677643,
0.0999368280172348,
0.013858427293598652,
-0.008792382664978504,
-0.03440651670098305,
-0.0194479338824749,
0.028533099219202995,
0.02860407717525959,
-0.010398256592452526,
0.00267497799359262,
-0.06480278819799423,
-0.004524838645011187,
0.011942025274038315,
0.0018498605350032449,
-0.011879919096827507,
0.012288042344152927,
-0.047981034964323044,
0.0507136806845665,
0.023866305127739906,
-0.012323531322181225,
-0.0332886166870594,
0.024096982553601265,
-0.017904164269566536,
-0.005855673458427191,
-0.05028781294822693,
-0.0624605156481266,
0.015668362379074097,
-0.05358828604221344,
-0.007829745300114155,
-0.033359594643116,
0.003520058235153556,
-0.021293358877301216,
-0.0047288998030126095,
-0.03341282904148102,
-0.00503055565059185,
-0.005500784143805504,
-0.04056384786963463,
-0.013104286976158619,
0.013885043561458588,
-0.06437692046165466,
-0.02088523469865322,
0.011037057265639305,
0.05539821833372116,
-0.04890374466776848,
-0.006645302288234234,
0.030378524214029312,
-0.056427400559186935,
0.0084064407274127,
-0.022801637649536133,
0.008836743421852589,
-0.03343057259917259,
-0.03607449680566788,
-0.04056384786963463,
-0.04386431723833084,
-0.012456614524126053,
-0.011267735622823238,
-0.04056384786963463,
0.0005905579891987145,
0.017558148130774498,
-0.025037439540028572,
-0.00931584369391203,
-0.03284500539302826,
0.01613859087228775,
0.06065057963132858,
0.015207006596028805,
-0.006844927556812763,
-0.012705037370324135,
-0.005398753564804792,
0.016520097851753235,
-0.009857050143182278,
-0.039641134440898895,
0.01082412339746952,
0.01437301654368639,
-0.04453860595822334,
-0.026705419644713402,
0.046525988727808,
-0.004325213376432657,
-0.04766163229942322,
0.014266549609601498,
-0.007040116470307112,
0.004440552555024624,
0.03224169462919235,
0.005775823257863522,
0.03236590325832367,
0.027539409697055817,
-0.024061495438218117,
0.02159501425921917,
-0.07012612372636795,
-0.03140770271420479,
-0.04485800862312317,
0.01196864154189825,
-0.02125786989927292,
0.017105665057897568,
0.02922513335943222,
0.00503055565059185,
-0.006006501615047455,
-0.0013951585860922933,
-0.023617882281541824,
-0.004291942343115807,
0.0029167465399950743,
-0.030715668573975563,
-0.026332786306738853,
-0.04876178875565529,
-0.029668744653463364,
0.020139968022704124,
-0.009999006055295467,
0.01831228844821453,
-0.0423382930457592,
0.008725840598344803,
0.05152992531657219,
-0.0714392140507698,
0.005283414386212826,
-0.03284500539302826,
-0.006694099400192499,
-0.012802631594240665,
-0.11122230440378189,
-0.007479291874915361,
0.007279666606336832,
0.03651810809969902,
-0.010424872860312462,
0.003857203060761094,
0.032969217747449875,
0.06842266023159027,
-0.016954835504293442,
-0.02526811882853508,
-0.03793766722083092,
0.0037329918704926968,
-0.012917970307171345,
-0.039925046265125275,
-0.050465259701013565,
0.024132471531629562,
0.01236789207905531,
0.03417583927512169,
0.025427818298339844,
-0.02792978845536709,
0.06501571834087372,
0.01670641452074051,
-0.10632483661174774,
0.02611985243856907,
0.0284621212631464,
-0.029633255675435066,
-0.005620559211820364,
0.10014975816011429,
-0.04414822906255722,
-0.02626180835068226,
-0.037014953792095184,
-0.07871444523334503,
-0.06008275970816612,
-0.0005326112150214612,
-0.003449080279096961,
-0.009883667342364788,
-0.055043332278728485,
0.014390761032700539,
0.0023932848125696182,
0.007780947722494602,
0.006006501615047455,
-0.01973184570670128,
-0.06611587852239609,
-0.004003595095127821,
0.024753529578447342,
-0.02340495027601719,
-0.013503537513315678,
-0.01044261734932661,
-0.02145305834710598,
-0.015393323265016079,
0.0011278825113549829,
0.007288538850843906,
-0.041734982281923294,
0.015215878374874592,
0.04847787693142891,
0.05848575755953789,
-0.013689855113625526,
-0.051458947360515594,
-0.0239372830837965,
-0.008907721377909184,
0.024469617754220963,
-0.047839079052209854,
-0.006290412973612547,
0.008699224330484867,
-0.03857646510004997,
-0.011196757666766644,
-0.02659895271062851,
0.028479866683483124,
0.01249210350215435,
0.048122990876436234,
-0.0023112166672945023,
0.01868492178618908,
-0.0029500173404812813,
0.027042564004659653,
-0.02931385673582554,
-0.013175264932215214,
0.013139775954186916,
0.01048697903752327,
-0.008943210355937481,
0.05845026671886444,
0.01486986130475998,
-0.030822135508060455,
0.024274427443742752,
0.011303224600851536,
-0.025516539812088013,
-0.023050060495734215,
0.003717465326189995,
0.03188680484890938,
-0.010655551217496395,
-0.0322771817445755,
-0.0617862269282341,
-0.03580832853913307,
0.0023711042013019323,
-0.023156527429819107,
0.006902596913278103,
0.031052812933921814,
-0.02249998226761818,
-0.02555202879011631,
0.04106069356203079,
-0.04872630164027214,
-0.013743088580667973,
-0.004697847180068493,
-0.0034135915338993073,
-0.018773643299937248,
-0.039641134440898895,
0.00832215417176485,
0.04911667853593826,
0.03316440433263779,
0.016520097851753235,
0.02764587663114071,
0.02198539301753044,
0.02131110243499279,
0.012128341943025589,
0.09511033445596695,
0.01969635672867298,
-0.042551226913928986,
-0.010132089257240295,
0.0071820723824203014,
0.012838120572268963,
-0.022819381207227707,
0.017531530931591988,
0.03050273470580578,
0.034246817231178284,
-0.02354690432548523,
0.006720716133713722,
0.028355654329061508,
0.007545833941549063,
-0.013219626620411873,
0.0409187376499176,
0.008592757396399975,
-0.03765375539660454,
-0.05426257476210594,
0.06150231510400772,
-0.037298865616321564,
0.0009227122063748538,
-0.031052812933921814,
0.027042564004659653,
0.0015371142653748393,
0.0016025470104068518,
0.025942407548427582,
0.006498910486698151,
-0.0735330656170845,
0.0004316895501688123,
0.02803625538945198,
-0.09943997859954834,
-0.05805988982319832,
-0.007426058407872915,
-0.07821760326623917,
-0.047306742519140244,
-0.07580435276031494,
-0.051316991448402405,
0.036979466676712036,
-0.07062297314405441,
-0.05805988982319832,
0.007204252760857344,
0.02054809033870697,
0.001431756536476314,
-0.047022830694913864,
0.04045737907290459,
-0.08155356347560883,
-0.007798692211508751,
0.09418761730194092,
-0.028728289529681206,
-0.005389881320297718,
-0.03932173550128937,
0.06079253554344177,
-0.053375352174043655,
-0.0430835597217083,
-0.0003864966274704784,
0.0031185897532850504,
0.007328464183956385,
0.0011073654750362039,
0.016892731189727783,
-0.02083200216293335,
-0.0021947685163468122,
0.005021683406084776,
0.03318214789032936,
-0.022872615605592728,
-0.01863168738782406,
0.003012122819200158,
0.06466083228588104,
0.013769704848527908,
-0.0023045623674988747,
-0.005758078768849373,
0.04315453767776489,
0.027095798403024673,
0.05263008177280426,
-0.013565643690526485,
-0.0017944090068340302,
-0.013059926219284534,
0.002530804369598627,
0.016218440607190132,
-0.0007014608709141612,
-0.05497235432267189,
-0.01721213012933731,
-0.06810325384140015,
-0.014195571653544903,
-0.009120655246078968,
0.06852912157773972,
-0.020228689536452293,
0.01882687769830227,
-0.017398448660969734,
-0.015002945438027382,
0.006689663510769606,
0.03222394734621048,
0.011942025274038315,
-0.03857646510004997,
-0.02761038765311241,
0.046455010771751404,
0.05333986133337021,
0.013237371109426022,
0.014665800146758556,
0.004870855715125799,
-0.021204635500907898,
0.0015936747658997774,
0.04148655757308006,
-0.00012885531759820879,
-0.029917167499661446,
0.025853686034679413,
0.014142338186502457,
0.013769704848527908,
0.013911660760641098,
-0.031194768846035004,
0.024718040600419044,
-0.043793339282274246,
0.08708983659744263,
0.004817622248083353,
-0.049790967255830765,
0.011933152563869953,
-0.010194195434451103,
0.03932173550128937,
0.03485012799501419,
-0.0388958677649498,
-0.00794064812362194,
0.0032605454325675964,
0.021382080391049385,
0.009120655246078968,
-0.00531446747481823,
-0.00021390398615039885,
-0.011959769763052464,
-0.021364334970712662,
0.0017445026896893978,
0.019093044102191925,
0.016147462651133537,
0.016324907541275024,
0.019181767478585243,
-0.0025130598805844784,
-0.04751967638731003,
-0.004697847180068493,
-0.01346804853528738,
0.028142722323536873,
0.019998012110590935,
-0.03357252851128578,
0.008189070969820023,
-0.0002703258360270411,
-0.030573712661862373,
0.021861180663108826,
0.037831198424100876,
-0.014106850139796734,
-0.022375769913196564,
-0.05653386563062668,
0.01746942661702633,
-0.02388405054807663,
-0.0009349114843644202,
0.01699032448232174,
-0.02945581264793873,
0.002346705412492156,
0.030626947060227394,
-0.01888011023402214,
0.0071244025602936745,
-0.01758476532995701,
-0.020849745720624924,
-0.04737772047519684,
-0.01172909140586853,
0.017824314534664154,
-0.006073043216019869,
0.009999006055295467,
-0.036837510764598846,
0.0018099354347214103,
-0.0027104669716209173,
0.004145550541579723,
-0.009546522051095963,
0.00837982352823019,
0.041309114545583725,
0.018081609159708023,
-0.014665800146758556,
-0.037156909704208374,
0.01120562944561243,
0.019430188462138176,
-0.018613943830132484,
0.02764587663114071,
0.05195579305291176,
-0.0003357585519552231,
0.021328847855329514,
0.004955141805112362,
-0.010708784684538841,
0.05330437421798706,
0.025055184960365295,
0.0583438016474247,
0.011294351890683174,
-0.0000772161511122249,
0.02445187233388424,
0.053091440349817276,
0.04524838551878929,
0.004014685284346342,
-0.022517725825309753,
0.0024354278575628996,
-0.052949484437704086,
0.03146093711256981,
0.0028080616611987352,
-0.03133672475814819,
0.036109987646341324,
0.0777207538485527,
0.003311560722067952,
0.04372236132621765,
0.02521488443017006,
0.026953842490911484,
-0.006010937504470348,
-0.028284676373004913,
-0.01363662164658308,
-0.00743493065237999,
-0.05426257476210594,
0.06600940972566605,
0.013654366135597229,
-0.0038328045047819614,
0.036251943558454514,
-0.0026927224826067686,
0.011170140467584133,
0.02006899006664753,
-0.06299284845590591,
-0.022943593561649323,
0.028763778507709503,
-0.0012299132067710161,
-0.006565452087670565,
-0.0201577115803957,
0.029686490073800087,
-0.0026328349485993385,
-0.0015903477324172854,
0.011179013177752495,
-0.05383670702576637,
0.0055318367667496204,
-0.008069295436143875,
-0.011862174607813358,
0.07793369144201279,
-0.011942025274038315,
0.01588129624724388,
0.021062679588794708,
0.02159501425921917,
0.030094612389802933,
0.0735330656170845,
0.005079353228211403,
0.015473173931241035,
0.0014738995814695954,
0.03666006401181221,
0.013157520443201065,
-0.01715889759361744,
0.03323538228869438,
-0.007741022855043411,
0.04294160380959511,
0.02312103845179081,
0.020335156470537186,
0.025516539812088013,
-0.029384834691882133,
0.027716854587197304,
0.01222593616694212,
-0.013760833069682121,
-0.002994378563016653,
0.01659107394516468,
-0.0058068763464689255,
0.020281923934817314,
0.018241310492157936,
-0.04155753552913666,
-0.01950116641819477,
0.010353894904255867,
0.028710544109344482,
-0.03165612742304802,
0.019252745434641838,
-0.01465692836791277,
0.034921105951070786,
-0.012802631594240665,
-0.039783090353012085,
-0.002029523253440857,
0.02984618954360485,
0.011125779710710049,
-0.04052835702896118,
0.0027193392161279917,
0.00534995598718524,
0.04982645809650421,
-0.03552442044019699,
0.020761024206876755,
-0.018223565071821213,
-0.04439665004611015,
0.03279177099466324,
0.020619068294763565,
0.040883246809244156,
-0.01489647850394249,
-0.005753642879426479,
0.004941833671182394,
0.0031940035987645388,
0.017717847600579262,
-0.016289418563246727,
0.01806386560201645,
-0.011800069361925125,
-0.02249998226761818,
-0.02179020270705223,
0.014665800146758556,
0.008535088039934635,
-0.002470916835591197,
0.015561895444989204,
0.01930597797036171,
0.005088225472718477,
0.02945581264793873,
0.01955440081655979,
0.02583594061434269,
0.017247619107365608,
0.04833592101931572,
0.042409271001815796,
-0.015872424468398094,
0.0015271330485120416,
0.022943593561649323,
0.04223182797431946,
0.023298483341932297,
0.02484225109219551,
-0.06292187422513962,
-0.009777200408279896,
0.013042181730270386,
-0.03170935809612274,
0.050181347876787186,
-0.019057555124163628,
0.007918467745184898,
0.03250785917043686,
-0.02541007474064827,
-0.021240124478936195,
0.00814027339220047,
-0.0016025470104068518,
-0.018720410764217377,
0.06238953769207001,
0.01196864154189825,
0.02336946129798889,
-0.0027370837051421404,
0.03137221559882164,
-0.037831198424100876,
0.007922903634607792,
-0.014009254984557629,
0.009564266540110111,
0.013263987377285957,
-0.021719224750995636,
-0.007514780852943659,
-0.0015415503876283765,
0.011924280785024166,
0.029402578249573708,
-0.02936708927154541,
0.029491301625967026,
-0.0204593688249588,
-0.0409187376499176,
-0.038824889808893204,
0.04148655757308006,
0.01950116641819477,
0.003715247381478548,
-0.03634066507220268,
-0.03330636024475098,
-0.00787410605698824,
-0.003610998624935746,
-0.0023112166672945023,
0.03999602422118187,
-0.059231024235486984,
-0.029970401898026466,
0.02374209463596344,
0.002280163811519742,
-0.0034623886458575726,
0.04844238981604576,
0.007851925678551197,
0.024522850289940834,
-0.006760641001164913,
-0.06207013875246048,
0.0009243757231160998,
0.03209973871707916,
-0.016094230115413666,
0.02526811882853508,
0.0038594212383031845,
0.003770698793232441,
-0.023014571517705917,
-0.023848561570048332,
0.011835558339953423,
0.0035755096469074488,
0.024771273136138916,
0.0256939847022295,
-0.0018698229687288404,
-0.018951088190078735,
0.002865731017664075,
0.006330337841063738,
0.014160082675516605,
-0.012217064388096333,
-0.049897436052560806,
0.05568213015794754,
0.02297908253967762,
-0.013237371109426022,
0.01955440081655979,
-0.016040995717048645,
-0.05986982583999634,
0.07175861299037933,
-0.0305559691041708,
0.02984618954360485,
0.005704845301806927,
-0.03896684572100639,
0.019235000014305115,
0.008583884686231613,
-0.0005988756893202662,
-0.014479483477771282,
-0.022056369110941887,
0.027805576100945473,
-0.022624192759394646,
-0.027007075026631355,
0.03046724572777748,
0.007346208672970533,
-0.006543271243572235,
-0.043119050562381744,
0.0005259570316411555,
0.012243680655956268,
-0.05497235432267189,
-0.01134758535772562,
0.007603503298014402,
0.006813874468207359,
-0.0032317107543349266,
0.0019596542697399855,
-0.014186699874699116,
0.05231068283319473,
-0.016440246254205704,
0.019412444904446602,
0.005771387368440628,
0.03776022046804428,
0.02984618954360485,
0.00044638419058173895,
0.02755715325474739,
-0.0423382930457592,
0.041025202721357346,
-0.019518911838531494,
0.051458947360515594,
0.029047688469290733,
-0.02688286453485489,
0.007541397586464882,
0.0249842070043087,
-0.015207006596028805,
-0.04439665004611015,
0.01893334463238716,
-0.00825561210513115,
-0.0005373245803639293,
0.05252361670136452,
0.034016139805316925,
0.01537557877600193,
0.020654557272791862,
0.05816635489463806,
0.011933152563869953,
0.013299476355314255,
0.00129312789067626,
0.01939469948410988,
-0.01730085350573063,
-0.026066619902849197,
-0.021435312926769257,
0.010433745570480824,
-0.012997820973396301,
0.03176259249448776,
0.021417569369077682,
0.000555069069378078,
0.031070558354258537,
0.01325511559844017,
0.0005559007986448705,
0.005700409412384033,
0.00010327833297196776,
-0.02164824679493904,
-0.0025685112923383713,
0.008158017881214619,
0.0005320566706359386,
0.046596966683864594,
0.019962523132562637,
0.0030675744637846947,
0.016839496791362762,
-0.020796513184905052,
0.01084186788648367,
-0.05387219414114952,
-0.0006376917008310556,
0.013574515469372272,
0.033537037670612335,
-0.010957207530736923,
-0.003988068550825119,
-0.0056161233223974705,
0.04482251778244972,
-0.040350914001464844,
0.010149833746254444,
-0.017229875549674034,
-0.041309114545583725,
0.0073994421400129795,
0.04248024895787239,
-0.03075115755200386,
0.0792112946510315,
-0.00006758145900676027,
0.009306971915066242,
0.012625186704099178,
0.018702665343880653,
-0.03147868067026138,
0.01707017607986927,
-0.03758277744054794,
-0.02335171587765217,
0.0014029217418283224,
0.024611573666334152,
0.02908317744731903,
0.03651810809969902,
-0.008965390734374523,
0.07193606346845627,
-0.017114536836743355,
-0.014266549609601498,
0.00986592285335064,
-0.013272860087454319,
0.012234808877110481,
0.04780358821153641,
0.0368020199239254,
0.0011267735389992595,
0.022712916135787964,
0.022233814001083374,
-0.012483230791985989,
0.019288232550024986,
0.01597001776099205,
0.017762210220098495,
0.01973184570670128,
0.021861180663108826,
-0.029721979051828384,
0.03383869305253029,
0.021807948127388954,
-0.05664033070206642,
0.04940059036016464,
-0.03896684572100639,
0.016954835504293442,
-0.036305174231529236,
0.024096982553601265,
0.05053623765707016,
0.026829631999135017,
-0.015011817216873169,
0.024008261039853096,
-0.03479689732193947,
-0.04237378388643265,
-0.0034690429456532,
0.01814371533691883,
0.00934246089309454,
0.028834756463766098,
0.01935921050608158,
-0.003990286495536566,
0.033111169934272766,
0.02631504088640213,
-0.018383266404271126,
0.034300051629543304,
-0.039925046265125275,
-0.014239933341741562,
-0.005283414386212826,
-0.015508661977946758,
-0.051707372069358826,
0.019235000014305115,
-0.008446365594863892,
0.004706719424575567,
-0.0009742820402607322,
0.04940059036016464,
0.024576084688305855,
0.012651803903281689,
-0.03151417151093483,
-0.004527056589722633,
-0.036305174231529236,
0.014985200949013233,
0.004999503027647734,
-0.0444321408867836,
0.003076446708291769,
0.0184010099619627,
0.016316035762429237,
0.02303231507539749,
0.038540977984666824,
0.019235000014305115,
0.04503545165061951,
-0.03461945056915283,
0.04038640111684799,
-0.04333198443055153,
0.019057555124163628,
0.024380894377827644,
0.03233041614294052,
0.0011167923221364617,
-0.006099659949541092,
0.050216834992170334,
-0.030822135508060455,
-0.04439665004611015,
-0.007514780852943659,
0.02430991642177105,
-0.03156740218400955,
0.00681831082329154,
-0.007075605448335409,
-0.026244062930345535,
-0.018383266404271126,
-0.04038640111684799,
0.004759952891618013,
0.006765077356249094,
-0.06600940972566605,
-0.04663245379924774,
0.0036243069916963577,
0.023050060495734215,
-0.03946369141340256,
0.013237371109426022,
0.017167769372463226,
0.045603275299072266,
0.03346605971455574,
-0.0008384259999729693,
0.030201079323887825,
0.0016457991441711783,
-0.0035333666019141674,
0.006427932530641556,
-0.023990517482161522,
-0.04070580378174782,
0.0030187771189957857,
0.012696164660155773,
-0.018383266404271126,
0.004950705915689468,
-0.04418371617794037,
0.027379710227251053,
-0.04322551563382149,
-0.004533710889518261,
0.00020073425548616797,
-0.030715668573975563,
-0.035630885511636734,
-0.02021094597876072
] |
The metaverse is a nascent concept that envisions a virtual universe, a
collaborative space where individuals can interact, create, and participate in
a wide range of activities. Privacy in the metaverse is a critical concern as
the concept evolves and immersive virtual experiences become more prevalent.
The metaverse privacy problem refers to the challenges and concerns surrounding
the privacy of personal information and data within Virtual Reality (VR)
environments as the concept of a shared VR space becomes more accessible.
Metaverse will harness advancements from various technologies such as
Artificial Intelligence (AI), Extended Reality (XR), Mixed Reality (MR), and
5G/6G-based communication to provide personalized and immersive services to its
users. Moreover, to enable more personalized experiences, the metaverse relies
on the collection of fine-grained user data that leads to various privacy
issues. Therefore, before the potential of the metaverse can be fully realized,
privacy concerns related to personal information and data within VR
environments must be addressed. This includes safeguarding users' control over
their data, ensuring the security of their personal information, and protecting
in-world actions and interactions from unauthorized sharing. In this paper, we
explore various privacy challenges that future metaverses are expected to face,
given their reliance on AI for tracking users, creating XR and MR experiences,
and facilitating interactions. Moreover, we thoroughly analyze technical
solutions such as differential privacy, Homomorphic Encryption (HE), and
Federated Learning (FL) and discuss related sociotechnical issues regarding
privacy. | [
-0.059324029833078384,
0.013197830878198147,
-0.024329915642738342,
-0.043327730149030685,
0.05176727846264839,
-0.03169244900345802,
-0.03603581711649895,
0.0036084370221942663,
-0.03232806548476219,
0.001999537693336606,
0.04304523393511772,
-0.0004463647783268243,
0.0062413825653493404,
-0.047953590750694275,
-0.03082730807363987,
0.033263832330703735,
0.00037325805169530213,
0.00971077848225832,
-0.009648983366787434,
-0.016420044004917145,
0.023111654445528984,
0.03820750117301941,
-0.02745502069592476,
-0.027702203020453453,
0.03080965206027031,
0.05148478224873543,
0.031816042959690094,
0.007759795058518648,
-0.0333697684109211,
0.03912561014294624,
0.054662857204675674,
0.01604926958680153,
-0.049224819988012314,
-0.004473579116165638,
-0.02293509431183338,
0.0017181457951664925,
0.015925677493214607,
0.03439381346106529,
0.008938330225646496,
-0.011847150512039661,
-0.016676055267453194,
-0.01882125437259674,
-0.008973642252385616,
0.04622330889105797,
-0.017629478126764297,
-0.033864133059978485,
-0.007993736304342747,
-0.02953842282295227,
-0.016296451911330223,
-0.0201277956366539,
-0.042550865560770035,
-0.0509197935461998,
0.026554565876722336,
0.0208163782954216,
-0.03827812522649765,
-0.06154868006706238,
0.04986043646931648,
-0.04177400469779968,
0.016861442476511,
-0.0564284510910511,
0.06041869893670082,
0.000026673606043914333,
-0.0187506303191185,
-0.02014545165002346,
-0.012968303635716438,
-0.03089793212711811,
-0.02678409405052662,
0.023941483348608017,
-0.0335463285446167,
-0.0617605522274971,
-0.0012337103253230453,
0.033758196979761124,
0.051943838596343994,
-0.013144862838089466,
-0.04583487659692764,
0.02286447025835514,
0.04113839194178581,
0.03841937333345413,
0.03972591459751129,
0.018591728061437607,
-0.018017908558249474,
0.02411804348230362,
0.025159744545817375,
0.005451278295367956,
0.07129476964473724,
-0.017797209322452545,
0.009481251239776611,
-0.08121742308139801,
0.11398688703775406,
0.0316571407020092,
-0.056145958602428436,
0.06695140898227692,
0.01005506981164217,
-0.08835043013095856,
0.009913822636008263,
0.03640659153461456,
-0.002003951696678996,
-0.021257776767015457,
-0.023959139361977577,
0.007137422449886799,
0.005460106302052736,
-0.02221119962632656,
0.033811166882514954,
-0.026536909863352776,
-0.01370985433459282,
-0.040502775460481644,
0.04029090330004692,
0.020604506134986877,
0.04692954570055008,
0.08227678388357162,
0.002198167145252228,
-0.011167395859956741,
-0.031763073056936264,
0.037925004959106445,
-0.039937783032655716,
0.06384395807981491,
-0.03213385120034218,
0.008276231586933136,
-0.033811166882514954,
0.0006317523657344282,
0.00244535063393414,
-0.017929628491401672,
0.01175887044519186,
-0.027949387207627296,
-0.053462252020835876,
0.055263157933950424,
-0.04290398582816124,
0.00686375517398119,
-0.04244492948055267,
-0.00022676875232718885,
-0.003822515718638897,
0.032451655715703964,
-0.005367412231862545,
-0.025089120492339134,
0.010990835726261139,
0.03541785851120949,
-0.004018938168883324,
0.030438877642154694,
0.03427021950483322,
0.013877585530281067,
0.0022533421870321035,
0.017638305202126503,
-0.05907684564590454,
-0.007459643762558699,
0.0018031150102615356,
0.0321691632270813,
-0.04544644430279732,
-0.00651504984125495,
-0.040679335594177246,
-0.0013153691543266177,
-0.03305196017026901,
0.04904825985431671,
0.03490583598613739,
-0.029132336378097534,
0.04537582024931908,
-0.04029090330004692,
0.08940979093313217,
-0.004001282155513763,
-0.06179586425423622,
0.0013694404624402523,
0.08135867118835449,
-0.0260601993650198,
0.023747269064188004,
0.03841937333345413,
0.0700235441327095,
0.0007856902666389942,
0.04110307991504669,
-0.0004742280871141702,
-0.04071464762091637,
0.036618463695049286,
-0.05914746969938278,
-0.012615184299647808,
-0.011546999216079712,
0.02411804348230362,
-0.00656801788136363,
0.019086094573140144,
0.04089120775461197,
-0.027331428602337837,
-0.047247353941202164,
0.0347469337284565,
-0.004142529796808958,
0.013224314898252487,
0.022458383813500404,
0.05360350012779236,
0.02475365810096264,
0.028284849599003792,
0.02475365810096264,
-0.049330756068229675,
0.01404531765729189,
-0.07231881469488144,
0.007049142383038998,
0.015007567591965199,
0.007773037068545818,
-0.015934504568576813,
-0.008929502218961716,
-0.0045596519485116005,
0.02757861092686653,
-0.05911215767264366,
0.019209686666727066,
0.005076088942587376,
-0.02079872228205204,
-0.01246510911732912,
0.02487725019454956,
0.04572894051671028,
-0.01077013649046421,
0.04915419593453407,
0.017073314636945724,
0.0038556205108761787,
0.01869766227900982,
-0.037889692932367325,
-0.019880613312125206,
0.004312468692660332,
-0.0363006554543972,
-0.025865983217954636,
-0.044669583439826965,
-0.020569195970892906,
-0.0029595806263387203,
0.002236789558082819,
-0.04237430915236473,
0.02945014461874962,
0.027790483087301254,
-0.07592063397169113,
0.056675635278224945,
-0.02410038746893406,
0.0014235118869692087,
-0.03891373798251152,
-0.0008579693967476487,
0.07832184433937073,
-0.052720699459314346,
-0.037501260638237,
-0.006801959127187729,
0.0356120727956295,
0.04435177519917488,
-0.0015460001304745674,
0.0260601993650198,
-0.020957626402378082,
-0.00275874393992126,
0.035912226885557175,
-0.013550950214266777,
-0.009648983366787434,
0.0032244198955595493,
0.020922314375638962,
0.021222464740276337,
-0.004469165112823248,
0.07020010054111481,
0.009816714562475681,
-0.075002521276474,
0.0240827314555645,
-0.025724735110998154,
0.007622961420565844,
0.011326299048960209,
0.06854043900966644,
-0.013833445496857166,
0.013939381577074528,
-0.038595933467149734,
-0.013171346858143806,
0.007402261719107628,
-0.026378005743026733,
-0.01345384307205677,
0.03374054282903671,
0.02893812023103237,
-0.0536741241812706,
-0.025036152452230453,
0.00028277124511078,
0.014831007458269596,
0.017196906730532646,
0.043857406824827194,
0.050601985305547714,
0.048165462911129,
-0.0202160757035017,
0.0267487820237875,
-0.05039011314511299,
-0.013595090247690678,
-0.02136371284723282,
-0.011158567853271961,
0.028302505612373352,
-0.04375147074460983,
-0.014548512175679207,
0.015908021479845047,
-0.01438960898667574,
0.04371615871787071,
-0.04346897825598717,
0.007066798396408558,
0.002186028752475977,
-0.0342349074780941,
-0.00903985183686018,
-0.03012106940150261,
0.0014102698769420385,
-0.03577097877860069,
-0.014707416296005249,
-0.03271649777889252,
-0.019615773111581802,
-0.059465277940034866,
-0.0018913948442786932,
0.05250883102416992,
-0.01107028778642416,
0.012835883535444736,
0.04272742569446564,
-0.03027997352182865,
-0.005318858195096254,
-0.006669539492577314,
-0.014027661643922329,
-0.04908357188105583,
0.0227938462048769,
-0.025283336639404297,
0.052685387432575226,
-0.003937279339879751,
0.0653623715043068,
0.02551286481320858,
-0.05378006026148796,
0.04135026037693024,
-0.011679418385028839,
-0.020975282415747643,
-0.0215049609541893,
0.005919161252677441,
0.00044995115604251623,
0.012615184299647808,
0.0200395155698061,
-0.025901295244693756,
-0.07316630333662033,
0.03944341838359833,
0.02143433690071106,
-0.041279636323451996,
0.02067513018846512,
-0.026942996308207512,
-0.013798133470118046,
-0.022546662017703056,
0.00875735655426979,
0.01820329576730728,
-0.0030324114486575127,
-0.025689423084259033,
0.02620144747197628,
-0.04223306104540825,
-0.009251723997294903,
0.029114680364727974,
-0.020269043743610382,
0.041950564831495285,
0.035153020173311234,
0.00876618456095457,
-0.03160417079925537,
-0.0010792206740006804,
-0.044704895466566086,
-0.053391627967357635,
0.006929964758455753,
0.014689760282635689,
-0.006161930505186319,
0.015210610814392567,
0.05102572962641716,
0.025248024612665176,
0.033193208277225494,
0.0010753583628684282,
-0.0090751638635993,
-0.06430301070213318,
-0.02888515219092369,
0.05688750743865967,
0.0498957484960556,
0.0314805805683136,
-0.08955103904008865,
0.016164032742381096,
-0.016631916165351868,
0.012244408950209618,
-0.0025799772702157497,
0.015104674734175205,
0.025654112920165062,
-0.06324365735054016,
-0.03610644116997719,
-0.04406927898526192,
-0.030597781762480736,
-0.01179418247193098,
0.0104081891477108,
-0.025142088532447815,
-0.015431310050189495,
-0.01067302841693163,
-0.04173869267106056,
-0.0026991551276296377,
-0.011220363900065422,
-0.0021264399401843548,
-0.03951404243707657,
-0.009887338615953922,
0.050707921385765076,
0.03912561014294624,
0.032592903822660446,
0.04880107566714287,
0.03485286608338356,
0.008792668581008911,
0.0011343954829499125,
0.056145958602428436,
-0.021911047399044037,
0.03442912548780441,
0.05356818810105324,
-0.035823944956064224,
-0.013833445496857166,
0.007005002815276384,
0.010134521871805191,
0.03891373798251152,
0.027313772588968277,
-0.02136371284723282,
-0.008929502218961716,
-0.0035532622132450342,
-0.02955607883632183,
0.0018627039389684796,
0.018662352114915848,
-0.002983857411891222,
0.0221052635461092,
0.01775306835770607,
-0.0017898731166496873,
0.03010341338813305,
0.003767340676859021,
0.052614763379096985,
-0.050001684576272964,
-0.00971077848225832,
-0.013162518851459026,
-0.025265680626034737,
0.007035900838673115,
-0.007680343464016914,
-0.01936858892440796,
-0.03077434003353119,
0.029997479170560837,
-0.023182276636362076,
-0.015395998023450375,
0.002032642485573888,
-0.04435177519917488,
0.09053976833820343,
-0.0040343874134123325,
-0.037501260638237,
0.04947200417518616,
-0.006828443147242069,
-0.011679418385028839,
0.03135698661208153,
0.018997814506292343,
0.05773499235510826,
-0.03848999738693237,
0.056040022522211075,
-0.05374474823474884,
-0.01770010218024254,
-0.01718807779252529,
0.03580629080533981,
0.0073537081480026245,
0.07818059623241425,
0.005482175853103399,
0.008148225955665112,
0.00129660964012146,
-0.029979823157191277,
0.0013926139799878001,
-0.041279636323451996,
-0.013489154167473316,
-0.02948545478284359,
0.021752145141363144,
-0.03675971180200577,
-0.03137464448809624,
0.0004874700680375099,
0.007892214693129063,
-0.03866655379533768,
-0.0326811857521534,
0.01237682905048132,
-0.06539767980575562,
0.05039011314511299,
-0.04820077493786812,
-0.00453758193179965,
0.02420632354915142,
-0.02415335550904274,
0.04710610583424568,
0.00029021987575106323,
-0.033210862427949905,
0.00686375517398119,
-0.014636792242527008,
-0.10296956449747086,
-0.029803263023495674,
-0.013339078985154629,
-0.023182276636362076,
0.00656360387802124,
-0.011652934364974499,
0.023729613050818443,
0.00968429446220398,
-0.018591728061437607,
-0.04152682051062584,
-0.00688582519069314,
-0.02208760753273964,
-0.021134186536073685,
-0.020957626402378082,
0.06034807488322258,
0.07521439343690872,
-0.016817303374409676,
-0.03894905000925064,
-0.07860434055328369,
0.04855389520525932,
-0.00030815170612186193,
0.029979823157191277,
-0.02687237411737442,
-0.06373801827430725,
-0.005954472813755274,
-0.052014462649822235,
0.0418093167245388,
-0.05508660152554512,
-0.00719480449333787,
-0.01816798374056816,
-0.03209853917360306,
0.008797083050012589,
0.060030270367860794,
0.04890701174736023,
-0.01651715114712715,
-0.051272913813591,
-0.043363042175769806,
-0.0010610129684209824,
-0.001464341301470995,
-0.0031692450866103172,
-0.016587775200605392,
-0.015148814767599106,
-0.013992349617183208,
0.015546074137091637,
0.010637716390192509,
0.06620985269546509,
-0.015652010217308998,
0.011935429647564888,
0.01176769845187664,
0.045976124703884125,
0.025089120492339134,
-0.031939633190631866,
-0.014654448255896568,
0.03633596748113632,
-0.027119556441903114,
0.03091558814048767,
0.003882104530930519,
0.01668488420546055,
-0.04964856430888176,
0.006351732183247805,
0.03015638142824173,
0.01572263427078724,
-0.0031802800949662924,
-0.026448629796504974,
-0.027878763154149055,
0.01807970367372036,
-0.002778606954962015,
0.008267403580248356,
0.008611694909632206,
-0.0049745673313736916,
0.014760383404791355,
0.019315622746944427,
0.006956448778510094,
-0.033228520303964615,
0.0068460991606116295,
0.05769968032836914,
0.04378678277134895,
0.008020220324397087,
0.03312258422374725,
-0.008134984411299229,
0.011882461607456207,
-0.019774677231907845,
0.008845636621117592,
0.0011388094862923026,
0.04897763580083847,
0.009498907253146172,
-0.013665714301168919,
-0.0021043699234724045,
0.002935303607955575,
0.031957291066646576,
0.027402052655816078,
0.013268454931676388,
-0.016146376729011536,
-0.016217000782489777,
-0.021769801154732704,
-0.015766773372888565,
-0.01802673749625683,
0.021875735372304916,
-0.037289392203092575,
0.012209096923470497,
0.0123856570571661,
0.07549688965082169,
-0.01680847443640232,
0.010664200410246849,
-0.01203253772109747,
-0.014645620249211788,
-0.05021355301141739,
0.001211640308611095,
0.005433622281998396,
0.0260601993650198,
0.029114680364727974,
-0.003932865336537361,
-0.0030346184503287077,
0.027525644749403,
0.001020735246129334,
-0.0036283000372350216,
-0.008836808614432812,
0.0455876924097538,
0.00486863125115633,
0.00839540921151638,
-0.0161728598177433,
0.0030103414319455624,
0.014910459518432617,
-0.004961325321346521,
-0.014804523438215256,
0.043363042175769806,
0.000744860852137208,
0.022387759760022163,
0.003047860460355878,
0.004709727596491575,
0.03077434003353119,
0.013347906991839409,
0.04555238038301468,
-0.04770640656352043,
0.02823188155889511,
0.04763578251004219,
0.05180259048938751,
-0.0050672609359025955,
-0.00455082394182682,
0.011626450344920158,
0.02214057557284832,
0.0038512065075337887,
-0.030509501695632935,
-0.027066588401794434,
-0.029167648404836655,
-0.03400538116693497,
0.023182276636362076,
-0.033175550401210785,
0.04618799686431885,
-0.013656886294484138,
0.020622162148356438,
-0.014036489650607109,
-0.05159071832895279,
-0.05724062770605087,
-0.04717672988772392,
0.018273919820785522,
-0.04353960230946541,
0.013286110945045948,
-0.013277282938361168,
0.01945686899125576,
-0.0035113294143229723,
0.018379855901002884,
-0.022493693977594376,
0.003661405062302947,
-0.018962502479553223,
0.01950983703136444,
0.00940179917961359,
-0.023358836770057678,
0.016402387991547585,
-0.017073314636945724,
-0.016958551481366158,
0.04625861719250679,
0.034623339772224426,
0.009993273764848709,
-0.029114680364727974,
0.01003741379827261,
0.015563730150461197,
0.1097494587302208,
0.006841685157269239,
0.015987472608685493,
0.005808811169117689,
-0.002259962959215045,
0.03301664814352989,
0.01720573380589485,
0.0017225596820935607,
-0.021610897034406662,
-0.011202707886695862,
0.0019565012771636248,
-0.021275432780385017,
-0.015210610814392567,
0.012235580943524837,
-0.01739112287759781,
0.030650749802589417,
0.0019918130710721016,
-0.0006615468300879002,
0.01744408905506134,
-0.06147805601358414,
0.01139692310243845,
-0.026307381689548492,
-0.00622814055532217,
0.023711957037448883,
-0.013462670147418976,
0.009543047286570072,
0.035788632929325104,
-0.00518202455714345,
0.0058926772326231,
-0.01144106313586235,
0.03215150535106659,
-0.014751555398106575,
-0.02685471810400486,
-0.004820077680051327,
0.01143223512917757,
-0.03607112914323807,
-0.025742391124367714,
0.030438877642154694,
0.009026610292494297,
-0.009825542569160461,
0.011882461607456207,
-0.01405414566397667,
-0.02016310766339302,
0.06045401096343994,
-0.02005717158317566,
0.038525309413671494,
-0.03909029811620712,
-0.03547082841396332,
-0.04152682051062584,
0.04117370396852493,
0.006347318179905415,
0.05445098504424095,
-0.008889776654541492,
0.008024634793400764,
0.011679418385028839,
-0.026413317769765854,
-0.045340508222579956,
0.018962502479553223,
-0.00584412319585681,
-0.007680343464016914,
0.07080040872097015,
-0.013701026327908039,
0.031251050531864166,
0.008368926122784615,
0.014698588289320469,
-0.010514125227928162,
0.024630066007375717,
0.007940768264234066,
0.008386582136154175,
-0.03972591459751129,
0.06868168711662292,
0.028955776244401932,
-0.03347570449113846,
-0.040538087487220764,
0.03541785851120949,
0.0036216790322214365,
0.00006200277130119503,
-0.00823209248483181,
-0.012235580943524837,
0.022952750325202942,
-0.010187489911913872,
-0.005420380271971226,
0.06945855170488358,
-0.003321527736261487,
-0.000041967392462538555,
-0.022988062351942062,
0.014698588289320469,
0.022458383813500404,
-0.04887169972062111,
0.029750294983386993,
0.002880128799006343,
-0.014663276262581348,
0.035788632929325104,
-0.021063562482595444,
-0.021328400820493698,
-0.0455876924097538,
0.0077156550250947475,
-0.0032442829106003046,
0.010231629945337772,
-0.0110526317730546,
-0.03983185067772865,
0.037218768149614334,
-0.04565831646323204,
-0.015422482043504715,
0.0483420230448246,
-0.039231546223163605,
0.01143223512917757,
0.03222212940454483,
-0.0124739371240139,
0.0220169834792614,
-0.06317303329706192,
0.00013938553456682712,
0.006762233097106218,
0.01139692310243845,
0.003601816250011325,
0.04477551952004433,
-0.00024649378610774875,
0.02950311079621315,
0.04230368509888649,
-0.03137464448809624,
0.08630234003067017,
0.006391458213329315,
-0.01306541170924902,
0.000744860852137208,
0.017276357859373093,
0.018627040088176727,
-0.07157726585865021,
-0.006801959127187729,
-0.010558265261352062,
0.06663359701633453,
-0.04700016975402832,
-0.03437615558505058,
0.012932991608977318,
0.045199260115623474,
-0.025724735110998154,
-0.016075752675533295,
-0.023235244676470757,
-0.053921304643154144,
0.017276357859373093,
-0.023358836770057678,
0.04555238038301468,
-0.04636455327272415,
-0.03891373798251152,
0.01945686899125576,
-0.0655389279127121,
0.04477551952004433,
0.07200101017951965,
0.031056836247444153,
0.02078106626868248,
0.04943669214844704,
0.011538171209394932,
0.026978308334946632,
-0.017276357859373093,
-0.014433748088777065,
0.053426939994096756,
-0.03827812522649765,
-0.030368253588676453,
0.03082730807363987,
0.02962670288980007,
0.022617286071181297,
-0.024577097967267036,
-0.05035480111837387,
-0.010646544396877289,
-0.03954935446381569,
-0.03095090016722679,
0.00552190188318491,
-0.009525391273200512,
-0.01067302841693163,
0.05586346238851547,
0.007728897035121918,
0.014663276262581348,
-0.0247713141143322,
0.008426307700574398,
-0.006373802199959755,
0.023252900689840317,
0.016278795897960663,
-0.04032621532678604,
0.027772827073931694,
-0.03091558814048767,
0.0066033294424414635,
-0.029750294983386993,
-0.000742653850466013,
-0.031162772327661514,
0.04071464762091637,
-0.025230368599295616,
0.020322011783719063,
0.037889692932367325,
0.028390785679221153,
0.01134395506232977,
-0.02491256222128868,
0.00975491851568222,
-0.009596015326678753,
0.04308054596185684,
0.0008789358544163406,
0.023252900689840317,
-0.007088868413120508,
-0.00968429446220398,
-0.005265890620648861,
0.014989911578595638,
0.0021065769251435995,
0.02556583285331726,
0.0029088195879012346,
-0.0207280982285738,
0.00937531515955925,
0.034446779638528824,
0.015387170016765594,
0.009251723997294903,
0.014230704866349697,
0.003114070277661085,
0.025654112920165062,
0.050001684576272964,
0.01203253772109747,
0.004067492205649614,
-0.00519085256382823,
-0.005345342215150595,
-0.010249285958707333,
-0.014751555398106575,
-0.02136371284723282,
0.04103245586156845,
-0.025053808465600014,
0.033952414989471436,
-0.011246846988797188,
-0.02289978228509426,
0.02350008487701416,
0.002873507793992758,
-0.056110646575689316,
-0.06652766466140747,
-0.020604506134986877,
-0.012535732239484787,
-0.010496469214558601,
0.003946107346564531,
0.009966790676116943,
0.013250798918306828,
0.027207836508750916,
0.015537246130406857,
0.043363042175769806,
0.02473600208759308,
0.020410291850566864,
0.00941945519298315,
0.004157979041337967,
0.037819068878889084,
0.032857745885849,
-0.029097024351358414,
-0.011961913667619228,
-0.05720531567931175,
0.028743905946612358,
-0.00940179917961359,
-0.026378005743026733,
-0.00552190188318491,
0.021134186536073685,
0.020357323810458183,
0.033175550401210785,
-0.0024078318383544683,
-0.012315033003687859,
0.025724735110998154,
0.022281823679804802,
0.06384395807981491,
0.008797083050012589,
0.0024541786406189203,
0.005014292895793915,
0.013268454931676388,
-0.0033877375535666943,
0.03608878701925278,
-0.0042992266826331615,
-0.028002355247735977,
0.005155540537089109,
0.04647048935294151,
-0.03951404243707657,
-0.012641668319702148,
-0.06271397322416306,
-0.05769968032836914,
0.0046302760019898415,
0.029820919036865234,
-0.027631578966975212,
0.008788255043327808,
0.003862241515889764,
-0.0019013263517990708,
0.03545317053794861,
0.04424583911895752,
-0.05226164683699608,
0.025813015177845955,
0.03504708409309387,
-0.03077434003353119,
-0.029750294983386993,
-0.020586851984262466,
-0.010584749281406403,
-0.0016585568664595485,
-0.041985876858234406,
0.01272112037986517,
0.02750798873603344,
-0.007578821387141943,
-0.005927989259362221,
0.0034120145719498396,
-0.05582815036177635,
0.019792333245277405,
-0.044598959386348724,
0.009154615923762321,
0.006289936136454344,
-0.0249478742480278,
-0.009860854595899582,
0.04110307991504669,
-0.007737725041806698,
-0.024400537833571434,
0.03778375685214996,
-0.0130300996825099,
0.014680932275950909,
0.04096183180809021,
-0.04110307991504669,
-0.036512527614831924,
0.036618463695049286,
-0.044669583439826965,
-0.019262654706835747,
0.004396334290504456,
-0.012553388252854347,
-0.019686397165060043,
-0.044598959386348724,
0.06098369136452675,
0.006837271153926849,
0.01077013649046421,
0.028991088271141052,
-0.02547755278646946,
0.022652598097920418,
0.00968429446220398,
0.011635278351604939,
-0.0037739616818726063,
-0.007830418646335602,
0.023005718365311623,
0.003334769746288657,
0.012632840313017368,
0.017020346596837044,
0.0200395155698061,
0.058123424649238586,
-0.018680008128285408,
0.011546999216079712,
-0.033175550401210785,
0.002714604139328003,
0.00485097523778677,
0.030721373856067657,
-0.05254414305090904,
0.048659831285476685,
0.025124432519078255,
-0.05046073719859123,
-0.036653775721788406,
-0.007300740107893944,
-0.009242895990610123,
-0.022334791719913483,
0.03817218914628029,
0.00808642990887165,
0.007340466137975454,
0.027172524482011795,
-0.006113376468420029,
0.005491003859788179,
0.0005095400265417993,
0.027331428602337837,
-0.005632251501083374,
-0.040679335594177246,
0.00556604191660881,
-0.02478897012770176,
-0.03566504269838333,
0.02886749617755413,
0.009931478649377823,
-0.0130300996825099,
-0.021981671452522278,
0.03499411419034004,
0.010876072570681572,
-0.005936817266047001,
-0.01001975778490305,
-0.024506473913788795,
-0.007675929460674524,
0.03276946395635605,
0.020427947863936424,
-0.01889187842607498,
0.013612746261060238,
-0.04156213253736496,
0.0019211892504245043,
0.014098284766077995,
-0.04096183180809021,
0.017550025135278702,
0.010293425992131233,
0.04103245586156845,
-0.0234824288636446
] |
Cybersecurity has become a significant issue in the digital era as a result
of the growth in everyday computer use. Cybercriminals now engage in more than
virus distribution and computer hacking. Cyberwarfare has developed as a result
because it has become a threat to a nation's survival. Malware analysis serves
as the first line of defence against an attack and is a significant component
of cybercrime. Every day, malware attacks target a large number of computer
users, businesses, and governmental agencies, causing billions of dollars in
losses. Malware may evade multiple AV software with a very minor, cunning tweak
made by its designers, despite the fact that security experts have a variety of
tools at their disposal to identify it. To address this challenge, a new
dataset called the Obfuscated Malware Dataset (OMD) has been developed. This
dataset comprises 40 distinct malware families having 21924 samples, and it
incorporates obfuscation techniques that mimic the strategies employed by
malware creators to make their malware variations different from the original
samples. The purpose of this dataset is to provide a more realistic and
representative environment for evaluating the effectiveness of malware analysis
techniques. Different conventional machine learning algorithms including but
not limited to Support Vector Machine (SVM), Random Forrest (RF), Extreme
Gradient Boosting (XGBOOST) etc are applied and contrasted. The results
demonstrated that XGBoost outperformed the other algorithms, achieving an
accuracy of f 82%, precision of 88%, recall of 80%, and an F1-Score of 83%. | [
-0.08164548873901367,
0.0002339512575417757,
-0.024400249123573303,
-0.03272824361920357,
0.07853221893310547,
-0.0022777942940592766,
-0.05545511096715927,
-0.0011930145556107163,
-0.0024614285212010145,
0.051680270582437515,
0.031015947461128235,
-0.08071150630712509,
0.0001576396607561037,
-0.03387626260519028,
-0.08857251703739166,
-0.005730361677706242,
0.0017804009839892387,
-0.053859561681747437,
-0.009641406126320362,
-0.06031959503889084,
0.01140234898775816,
-0.016344664618372917,
-0.04272962361574173,
0.023174399510025978,
-0.03704790771007538,
0.04946206882596016,
0.015624720603227615,
-0.006202216260135174,
-0.04704928398132324,
0.08452526479959488,
0.027299480512738228,
-0.009378723800182343,
0.03527723252773285,
-0.032630953937768936,
-0.02181234396994114,
-0.011052106507122517,
-0.021890176460146904,
0.049851227551698685,
-0.02181234396994114,
-0.018066691234707832,
0.03708682209253311,
-0.02858370542526245,
0.010536471381783485,
0.020781073719263077,
0.054131973534822464,
-0.0073794214986264706,
-0.04654337838292122,
-0.0541708879172802,
-0.01216120831668377,
0.00584224471822381,
-0.027630265802145004,
-0.014262665994465351,
0.011159124784171581,
-0.019253626465797424,
-0.03609446808695793,
0.0188644677400589,
0.05786789581179619,
0.00951006542891264,
0.018407205119729042,
-0.010799153707921505,
0.029906844720244408,
0.014778301119804382,
0.04261287674307823,
-0.014778301119804382,
-0.050006888806819916,
-0.030529499053955078,
-0.014700468629598618,
-0.02770809829235077,
-0.00029384519439190626,
0.0077345287427306175,
-0.07277267426252365,
0.015284206718206406,
0.05452113226056099,
-0.014943692833185196,
-0.040939491242170334,
-0.00667893560603261,
0.03451837599277496,
0.012472535483539104,
0.011217499151825905,
0.013425974175333977,
0.008439878933131695,
0.007671290542930365,
-0.001387593918479979,
0.017833195626735687,
0.10195957124233246,
-0.024808865040540695,
-0.04105624184012413,
-0.0804780125617981,
0.025178566575050354,
-0.050318218767642975,
-0.03072407841682434,
0.03015979751944542,
0.06389985233545303,
-0.0019178226357325912,
-0.04732169583439827,
0.017823467031121254,
-0.047866515815258026,
-0.023544099181890488,
-0.040822744369506836,
0.019963840022683144,
0.00757886515930295,
0.0008707425440661609,
0.03504373878240585,
-0.020255709066987038,
0.0017159465933218598,
-0.028233462944626808,
-0.03844887763261795,
0.024906154721975327,
0.00002046503323072102,
0.1878858059644699,
-0.06471709161996841,
0.0003721329849213362,
-0.018689345568418503,
0.027299480512738228,
0.016208458691835403,
0.059035371989011765,
-0.010176499374210835,
-0.06759686022996902,
-0.02426404319703579,
0.0052536423318088055,
-0.00023820767819415778,
0.07156628370285034,
-0.0034294608049094677,
-0.02854478918015957,
-0.0590742863714695,
0.06821951270103455,
0.010507284663617611,
0.023563558235764503,
0.027902677655220032,
0.009378723800182343,
-0.0212869793176651,
-0.0066935294307768345,
0.021267522126436234,
-0.016957588493824005,
0.0343821682035923,
0.05899645388126373,
0.03516048565506935,
0.06440576165914536,
-0.0015140704344958067,
0.002534395782276988,
-0.034090299159288406,
-0.00044692441588267684,
-0.03580259904265404,
0.03984984755516052,
-0.024497538805007935,
0.03235854580998421,
0.01731756143271923,
0.04062816500663757,
-0.06670179963111877,
-0.014622637070715427,
-0.018728261813521385,
0.042223718017339706,
0.03879912197589874,
0.04362468793988228,
0.04841133952140808,
-0.05024038627743721,
0.05024038627743721,
-0.013669198378920555,
-0.004139675293117762,
-0.027571892365813255,
0.04288528487086296,
-0.012540638446807861,
0.04973448067903519,
0.0703209713101387,
0.06716878712177277,
-0.016607346013188362,
0.024244586005806923,
-0.014865861274302006,
-0.03893532603979111,
0.04444191977381706,
-0.010672676376998425,
-0.013669198378920555,
-0.0143210394307971,
0.030023591592907906,
-0.0205670353025198,
0.04023900628089905,
0.018533682450652122,
0.002787349047139287,
-0.029653891921043396,
0.01859205588698387,
-0.050590626895427704,
0.0010744427563622594,
-0.008060448803007603,
0.023388436064124107,
0.013075731694698334,
0.027630265802145004,
0.054287634789943695,
-0.005924941040575504,
0.025898510590195656,
-0.00047307100612670183,
0.010244602337479591,
-0.014885319396853447,
0.0228436142206192,
-0.01998329721391201,
0.06596239656209946,
-0.005920076277107,
-0.06767469644546509,
0.018485037609934807,
0.010536471381783485,
-0.023252230137586594,
-0.03422650694847107,
-0.021325895562767982,
0.024769950658082962,
0.009043075144290924,
0.041406482458114624,
-0.006479491945356131,
0.03671712055802345,
-0.015186917036771774,
-0.013367600739002228,
-0.021481558680534363,
-0.05378172919154167,
0.002665736945345998,
-0.06997072696685791,
0.056466925889253616,
0.0021172664128243923,
-0.00488637387752533,
-0.012472535483539104,
-0.016578160226345062,
-0.04471433162689209,
-0.009607355110347271,
0.04996797442436218,
0.0024492675438523293,
0.016529515385627747,
-0.03642525151371956,
-0.0143210394307971,
-0.0541708879172802,
-0.007165384013205767,
-0.010526741854846478,
-0.007753986865282059,
0.019564952701330185,
-0.019370373338460922,
0.02358301542699337,
-0.0031692110933363438,
-0.014214021153748035,
0.04650446027517319,
-0.03648362681269646,
0.002682762686163187,
0.0010750507935881615,
-0.062109723687171936,
0.0037578134797513485,
0.014885319396853447,
-0.025995800271630287,
-0.03494644910097122,
-0.06997072696685791,
0.031696975231170654,
0.024711575359106064,
-0.015469057485461235,
-0.005715767852962017,
-0.025334229692816734,
0.05958019196987152,
0.014505889266729355,
-0.014359954744577408,
0.0044485703110694885,
0.030296003445982933,
-0.00488637387752533,
-0.04560939595103264,
0.04576506093144417,
-0.0491507425904274,
-0.03881857916712761,
-0.04883941262960434,
0.015838759019970894,
-0.010555929504334927,
-0.06607914716005325,
0.034926991909742355,
-0.0163835808634758,
0.00887281820178032,
0.058412715792655945,
0.02764972485601902,
0.021325895562767982,
0.018485037609934807,
0.05187484994530678,
0.01082834042608738,
-0.039305027574300766,
-0.0005238440353423357,
-0.006202216260135174,
-0.015770655125379562,
0.05144677683711052,
0.005560104735195637,
0.0409005768597126,
0.053197991102933884,
-0.01616954244673252,
-0.01354272197932005,
0.06378310918807983,
0.007321047596633434,
0.01663653366267681,
0.02122860588133335,
-0.0245753712952137,
0.006445440463721752,
0.02661845274269581,
0.011956900358200073,
-0.009252247400581837,
-0.00938845332711935,
-0.03401246666908264,
-0.007248080335557461,
-0.019477391615509987,
-0.02733839675784111,
0.03881857916712761,
0.025859594345092773,
-0.01591658964753151,
-0.05662258714437485,
-0.057517651468515396,
-0.01064348965883255,
-0.006435711402446032,
0.040511418133974075,
-0.04183455929160118,
-0.013367600739002228,
0.03897424042224884,
0.06137032434344292,
-0.025081276893615723,
-0.03533560782670975,
0.01601387932896614,
-0.041756726801395416,
-0.025956884026527405,
0.01132451742887497,
-0.006912431214004755,
0.037690017372369766,
0.0014642095193266869,
-0.03553018718957901,
-0.023719221353530884,
-0.026540622115135193,
0.005380118731409311,
0.04942315071821213,
-0.040667083114385605,
0.06498949974775314,
-0.008293944410979748,
-0.015332851558923721,
-0.05043496564030647,
0.04549264907836914,
-0.05592210218310356,
0.014068086631596088,
0.010575386695563793,
0.022298792377114296,
-0.02963443286716938,
0.002653575735166669,
-0.00012624854571186006,
-0.033837348222732544,
-0.017424579709768295,
0.09129662811756134,
0.008683103136718273,
0.012822778895497322,
-0.023193856701254845,
0.019341185688972473,
-0.07456280291080475,
-0.02264903485774994,
-0.05312015861272812,
-0.008960378356277943,
-0.016286291182041168,
0.010390536859631538,
-0.020586494356393814,
-0.02510073408484459,
0.0013255717931315303,
-0.041289735585451126,
-0.0312688983976841,
0.01896175742149353,
0.0026633047964423895,
0.02566501498222351,
-0.009193873964250088,
0.01619873009622097,
0.00041256900294683874,
-0.014933964237570763,
-0.023154940456151962,
-0.030704619362950325,
-0.0017804009839892387,
-0.007822089828550816,
-0.017395392060279846,
-0.00536066060885787,
0.00014601051225326955,
0.018572598695755005,
0.04008334502577782,
0.01604306697845459,
0.006489221006631851,
0.011869339272379875,
0.005920076277107,
-0.004808541852980852,
-0.06954265385866165,
0.030899198725819588,
0.0048985350877046585,
-0.022668492048978806,
-0.030918657779693604,
0.03839050233364105,
-0.01579984277486801,
0.009033345617353916,
-0.011382890865206718,
-0.005920076277107,
-0.02582067809998989,
0.02463374473154545,
0.03984984755516052,
0.02280469797551632,
0.03124944120645523,
0.07487413287162781,
-0.017988860607147217,
0.01685057021677494,
-0.019788717851042747,
-0.029653891921043396,
0.0060416883789002895,
-0.04000551253557205,
-0.016393309459090233,
0.03220288082957268,
0.03510211408138275,
-0.04701036959886551,
-0.0196427833288908,
0.015965234488248825,
-0.018883924931287766,
-0.0085663553327322,
-0.01614035665988922,
-0.016237646341323853,
0.02019733563065529,
-0.0164127666503191,
-0.022473914548754692,
-0.03860454261302948,
-0.006571917328983545,
0.03776784986257553,
0.01685057021677494,
0.011577470228075981,
-0.0034270286560058594,
0.015410684049129486,
-0.017794281244277954,
-0.004626123700290918,
-0.018767178058624268,
-0.015206375159323215,
-0.03206667676568031,
0.012978442013263702,
0.053392570465803146,
-0.0013851616531610489,
-0.015624720603227615,
0.0410173237323761,
-0.023349519819021225,
-0.027104901149868965,
0.010575386695563793,
-0.023913800716400146,
0.035141028463840485,
0.06506732851266861,
0.04226263239979744,
-0.026637911796569824,
0.013134105131030083,
-0.026696285232901573,
0.0026462790556252003,
-0.01728837378323078,
0.0188644677400589,
-0.0025514215230941772,
0.006756767630577087,
0.008955514058470726,
0.02786376141011715,
0.00073879340197891,
-0.07016530632972717,
-0.012715759687125683,
-0.015897132456302643,
0.02848641574382782,
-0.025314772501587868,
-0.025334229692816734,
-0.0541708879172802,
0.02013896219432354,
-0.013678927905857563,
0.005487137474119663,
0.07627510279417038,
-0.0056476653553545475,
-0.023621931672096252,
-0.036600373685359955,
0.05148569121956825,
0.0017366205574944615,
-0.03893532603979111,
0.09596653282642365,
-0.002665736945345998,
0.009753289632499218,
0.05097978562116623,
0.030762992799282074,
-0.0359388031065464,
-0.07681992650032043,
-0.0015286639099940658,
-0.0026730336248874664,
0.013270311057567596,
-0.06066983938217163,
-0.05510487034916878,
0.0171327106654644,
0.011489910073578358,
0.005671987775713205,
0.02091727964580059,
-0.010594844818115234,
0.017444036900997162,
0.04012225940823555,
0.054754626005887985,
0.0205670353025198,
-0.034460000693798065,
-0.021267522126436234,
-0.010390536859631538,
-0.015780383720993996,
0.02827237732708454,
-0.036230672150850296,
-0.019000671803951263,
-0.01502152532339096,
0.005516324192285538,
-0.04335227608680725,
-0.02582067809998989,
-0.020430831238627434,
-0.023544099181890488,
0.011879068799316883,
-0.0656510666012764,
0.029128527268767357,
0.0656510666012764,
0.028875574469566345,
-0.03403192758560181,
-0.06203189492225647,
-0.012209853157401085,
-0.038157008588314056,
0.033214692026376724,
0.01930227130651474,
0.028214003890752792,
0.05133002996444702,
0.016578160226345062,
0.01466155331581831,
0.00528282904997468,
-0.018874196335673332,
-0.005127165466547012,
0.0015250155702233315,
-0.007530220318585634,
0.023291146382689476,
0.00001978096588572953,
-0.022201502695679665,
0.024244586005806923,
0.02498398721218109,
-0.007982617244124413,
-0.006211945321410894,
-0.05510487034916878,
0.013464890420436859,
-0.0043099322356283665,
-0.023913800716400146,
0.022396082058548927,
0.014418329112231731,
-0.0326504148542881,
-0.010186227969825268,
-0.04366360232234001,
0.075224369764328,
-0.02969280630350113,
0.015546889044344425,
-0.0006244780379347503,
-0.0022632009349763393,
0.021520474925637245,
0.02159830741584301,
-0.029284190386533737,
0.006965940352529287,
-0.027571892365813255,
0.03220288082957268,
-0.043118782341480255,
-0.04237937927246094,
-0.022454455494880676,
-0.006659477949142456,
0.05171918869018555,
-0.006615697406232357,
0.02556772530078888,
-0.00864418689161539,
-0.03792351484298706,
0.010351620614528656,
0.020372455939650536,
-0.009480878710746765,
-0.04393601417541504,
-0.00055455113761127,
-0.027377313002943993,
-0.004071572795510292,
0.012890880927443504,
-0.0270854439586401,
-0.011373162269592285,
0.026462789624929428,
0.002507641213014722,
0.008775528520345688,
0.013367600739002228,
0.01301735732704401,
0.018144523724913597,
0.04957881569862366,
-0.01098400354385376,
-0.004416950978338718,
-0.006455169524997473,
-0.057517651468515396,
-0.03228071331977844,
-0.002879774197936058,
-0.008595542050898075,
0.024867240339517593,
0.0522640086710453,
-0.039149362593889236,
0.006265454925596714,
0.020742157474160194,
-0.01335787121206522,
0.00032075188937596977,
-0.032942283898591995,
-0.0005341810756362975,
0.03093811497092247,
0.00462369155138731,
-0.021209148690104485,
-0.023154940456151962,
0.009344672784209251,
-0.013066002167761326,
-0.014982609078288078,
0.029478769749403,
-0.032222338020801544,
-0.0179402157664299,
-0.024458622559905052,
0.03918828070163727,
0.009840849786996841,
0.0027022205758839846,
0.02196800708770752,
-0.013377329334616661,
0.021423185244202614,
0.04237937927246094,
0.04483107849955559,
0.06631264090538025,
-0.029906844720244408,
0.020995110273361206,
0.02081998996436596,
0.007724799681454897,
-0.028252920135855675,
0.019759532064199448,
0.031482938677072525,
-0.02035299874842167,
0.055649690330028534,
-0.029984675347805023,
-0.01750241219997406,
-0.012170937843620777,
0.014632366597652435,
-0.011519096791744232,
-0.0008531087660230696,
-0.0001097549102269113,
0.026910321786999702,
-0.025917967781424522,
-0.0002692187554202974,
0.0409005768597126,
0.041406482458114624,
0.020800530910491943,
-0.007963159121572971,
-0.02550935186445713,
-0.01669490709900856,
-0.02513965032994747,
-0.05401522293686867,
0.00985057931393385,
-0.02420566976070404,
-0.034615665674209595,
-0.0392855666577816,
0.02227933518588543,
-0.01644195429980755,
-0.0064405761659145355,
-0.010371078737080097,
0.026754658669233322,
0.02467266097664833,
0.05086303874850273,
-0.033253610134124756,
0.058568380773067474,
-0.003726194379851222,
0.04378035292029381,
-0.04440300539135933,
-0.012978442013263702,
0.047710854560136795,
0.07514654099941254,
0.012793591246008873,
0.03484915941953659,
-0.0325920395553112,
0.02039191499352455,
-0.01567336544394493,
-0.02796105109155178,
-0.0028846387285739183,
0.004621259402483702,
0.002512505743652582,
0.01656843163073063,
-0.02885611541569233,
-0.038371045142412186,
0.0015262316446751356,
0.023446809500455856,
0.005779006518423557,
-0.029556602239608765,
0.019448205828666687,
0.022143129259347916,
-0.009801934473216534,
0.019749803468585014,
-0.002733839675784111,
-0.0751076266169548,
-0.03840996325016022,
0.07541894912719727,
0.0027897811960428953,
-0.0134843485429883,
0.05806247517466545,
0.05817922204732895,
0.010536471381783485,
-0.03370114043354988,
0.002711949637159705,
0.007034043315798044,
-0.03412921726703644,
0.009451691061258316,
-0.0524975061416626,
-0.017979130148887634,
-0.03823484107851982,
0.012034731917083263,
0.008741476573050022,
-0.012307142838835716,
0.007768580224364996,
0.015722010284662247,
0.012414162047207355,
0.015507973730564117,
0.004317229148000479,
-0.01176232099533081,
-0.032008301466703415,
-0.04440300539135933,
-0.012083376757800579,
0.003368654754012823,
0.0008555410313419998,
0.00010207814193563536,
-0.03307848796248436,
0.017385663464665413,
-0.014155646786093712,
-0.0041056242771446705,
0.01140234898775816,
-0.007063230033963919,
0.018562868237495422,
-0.014992337673902512,
-0.024400249123573303,
0.039674725383520126,
-0.029906844720244408,
-0.006231403443962336,
0.04852808639407158,
-0.04864483326673508,
0.05175810307264328,
0.02019733563065529,
0.008430149406194687,
0.04339119419455528,
0.03208613395690918,
0.0041445400565862656,
-0.0019239032408222556,
-0.045531563460826874,
-0.03549127280712128,
-0.00019245113071519881,
0.019740073010325432,
-0.04728277772665024,
-0.0043610092252492905,
-0.006664342246949673,
0.03130781650543213,
-0.021209148690104485,
-0.003738355590030551,
0.021014569327235222,
-0.037495438009500504,
-0.025295313447713852,
0.04673795774579048,
0.05494920536875725,
-0.04074491187930107,
0.0005925549194216728,
-0.007569136098027229,
-0.01653924398124218,
0.022765781730413437,
-0.06611806154251099,
0.02035299874842167,
-0.047088198363780975,
0.025217482820153236,
0.004674768541008234,
-0.02963443286716938,
-0.00009652959124650806,
-0.0018399908440187573,
0.0028092393185943365,
0.03589988872408867,
-0.03327306732535362,
-0.03194992616772652,
0.028369667008519173,
0.016334936022758484,
0.024302959442138672,
-0.02268795110285282,
0.00862472876906395,
-0.027844304218888283,
0.011363433673977852,
0.0019883576314896345,
-0.00031983977532945573,
0.08833902329206467,
0.0009321566321887076,
-0.03062678873538971,
0.010555929504334927,
0.030607329681515694,
0.005993043538182974,
0.008692831732332706,
0.01481721643358469,
0.03521886095404625,
-0.05989152193069458,
-0.02253228798508644,
0.01644195429980755,
0.018825551494956017,
-0.017463495954871178,
0.014544805511832237,
0.010662947781383991,
-0.05615559592843056,
0.013795674778521061,
-0.023018736392259598,
0.07238351553678513,
-0.02463374473154545,
0.028155630454421043,
0.016451682895421982,
-0.02895340509712696,
-0.022454455494880676,
0.055532943457365036,
-0.060864418745040894,
0.016986776143312454,
0.010769966058433056,
-0.033934637904167175,
-0.0003456823469605297,
0.011655302718281746,
-0.04852808639407158,
0.07339532673358917,
-0.01536203920841217,
-0.015196646563708782,
0.029926301911473274,
0.0042029134929180145,
-0.02039191499352455,
-0.004879076965153217,
-0.020995110273361206,
-0.057790063321590424,
-0.05280883237719536,
-0.016266832128167152,
-0.012968712486326694,
-0.0040618437342345715,
0.012423890642821789,
0.015391225926578045,
-0.010322433896362782,
0.015011795796453953,
-0.010575386695563793,
0.022182045504450798,
-0.02237662486732006,
-0.0007710206555202603,
0.005365525372326374,
-0.015206375159323215,
0.0204502884298563,
-0.049072910100221634,
-0.012530909851193428,
0.0030159796588122845,
-0.0019640352111309767,
0.021890176460146904,
0.06129249185323715,
0.026209836825728416,
0.03549127280712128,
0.0328839085996151,
0.012949255295097828,
0.0002610099327284843,
-0.01466155331581831,
0.0060027725994586945,
-0.011869339272379875,
0.0425739586353302,
-0.011548283509910107,
-0.000701093696989119,
0.01719108410179615,
0.006460033822804689,
0.03996659442782402,
-0.014359954744577408,
0.0014581289142370224,
-0.012501722201704979,
0.012472535483539104,
0.014622637070715427,
-0.02827237732708454,
0.034304335713386536,
0.04288528487086296,
0.04950098320841789,
0.018845008686184883,
0.02202638052403927,
0.006698393728584051,
0.027260566130280495,
-0.0835912823677063,
0.03189155459403992,
0.04899507761001587,
-0.0036653883289545774,
0.007068094331771135,
0.01743430830538273,
-0.011888797394931316,
0.024906154721975327,
-0.002310629701241851,
-0.008940920233726501,
0.04868375137448311,
-0.0014447516296058893,
0.014953422360122204,
-0.013532993383705616,
-0.014875590801239014,
-0.04992906004190445,
-0.018630972132086754,
-0.02870045229792595,
-0.026988154277205467,
0.06981506943702698,
0.010497555136680603,
-0.034674037247896194,
-0.009534387849271297,
0.032630953937768936,
-0.007058365736156702,
0.015196646563708782,
0.005166081245988607,
0.04304094985127449,
0.021734511479735374,
-0.050824124366045,
0.05471571162343025,
-0.04016117379069328,
0.006883244030177593,
-0.005691445432603359,
0.011489910073578358,
-0.013630283065140247,
-0.03792351484298706,
-0.003118133870884776,
-0.021734511479735374,
-0.0019068775000050664,
0.0475941076874733,
0.005384983029216528,
-0.02838912606239319,
0.0043099322356283665,
-0.053197991102933884,
0.021267522126436234,
-0.009845714084804058,
-0.02138426899909973,
-0.04611530154943466,
-0.002918689977377653,
0.02634604275226593,
0.021423185244202614,
0.0327087864279747,
-0.02488669753074646,
0.013474619016051292,
-0.03298119828104973,
0.012968712486326694,
0.0005256682634353638,
-0.0026438466738909483,
0.004402357619255781,
0.02237662486732006,
0.004922857042402029,
-0.0038672643713653088,
-0.003894018940627575,
0.000753386877477169,
0.03385680541396141,
0.04720494896173477,
0.02833075262606144,
-0.023349519819021225,
0.0012246337719261646,
-0.004908263683319092,
0.021364811807870865,
-0.02498398721218109,
-0.02436133287847042,
0.012842236086726189,
-0.015070170164108276,
-0.01132451742887497,
0.004341551568359137,
0.05039604753255844,
-0.018008317798376083,
0.009354401379823685,
-0.020002756267786026,
-0.005822786595672369,
0.041406482458114624,
-0.013785946182906628,
-0.025840135291218758,
0.02311602607369423,
0.007136197295039892,
0.028895031660795212,
-0.00483286427333951,
0.013338414020836353,
-0.01948712021112442,
0.06942591071128845,
0.0056038848124444485,
-0.027824845165014267,
-0.012423890642821789,
-0.03531615063548088,
-0.0407838299870491,
0.03084082528948784,
-0.03152185305953026,
-0.04027792438864708,
0.013776217587292194,
-0.012268227525055408,
-0.01502152532339096,
-0.01653924398124218,
0.020839447155594826,
-0.005511459894478321,
0.004470460116863251,
-0.030334919691085815,
0.007437795400619507,
-0.038682371377944946,
0.005161216948181391,
-0.01985682174563408,
0.03144402056932449,
-0.06631264090538025,
0.022863071411848068,
0.0016818951116874814,
-0.02233770862221718,
-0.014175104908645153,
0.0025149378925561905,
-0.006961076054722071,
0.02420566976070404,
0.025003444403409958,
-0.014681011438369751,
0.0279221348464489,
-0.00043810755596496165,
0.01371784321963787,
-0.03303957358002663,
-0.031074320897459984,
-0.02227933518588543,
-0.023291146382689476,
-0.021715054288506508,
0.01930227130651474,
0.002587905153632164,
-0.07082688063383102,
0.04191238805651665,
-0.020372455939650536,
-0.0019749803468585014,
0.013552450574934483,
-0.010779695585370064,
-0.05055171251296997,
0.0023556260857731104,
-0.016189001500606537,
-0.004015631042420864,
-0.03484915941953659,
-0.0028554517775774,
0.0041518365032970905,
-0.012423890642821789,
-0.0032032623421400785,
0.02373867854475975,
0.03525777533650398,
0.029284190386533737,
0.04440300539135933,
-0.02801942452788353,
-0.020100045949220657,
0.004183455836027861,
-0.023388436064124107,
-0.02510073408484459,
0.052614253014326096,
0.015955505892634392,
0.027999967336654663,
-0.01304654497653246,
-0.016393309459090233,
0.020897820591926575,
-0.014564263634383678,
-0.028836658224463463,
0.01022514421492815,
0.0022814427502453327,
-0.019506579264998436,
-0.025995800271630287
] |
It is a long-standing challenge in modern recommender systems to effectively
make recommendations for new users, namely the cold-start problem. Cross-Domain
Recommendation (CDR) has been proposed to address this challenge, but current
ways to represent users' interests across systems are still severely limited.
We introduce Personal Knowledge Graph (PKG) as a domain-invariant interest
representation, and propose a novel CDR paradigm named MeKB-Rec. We first link
users and entities in a knowledge base to construct a PKG of users' interests,
named MeKB. Then we learn a semantic representation of MeKB for the
cross-domain recommendation. To efficiently utilize limited training data in
CDR, MeKB-Rec employs Pretrained Language Models to inject world knowledge into
understanding users' interests. Beyond most existing systems, our approach
builds a semantic mapping across domains which breaks the requirement for
in-domain user behaviors, enabling zero-shot recommendations for new users in a
low-resource domain. We experiment MeKB-Rec on well-established public CDR
datasets, and demonstrate that the new formulation % is more powerful than
previous approaches, achieves a new state-of-the-art that significantly
improves HR@10 and NDCG@10 metrics over best previous approaches by 24\%--91\%,
with a 105\% improvement for HR@10 of zero-shot users with no behavior in the
target domain. We deploy MeKB-Rec in WeiXin recommendation scenarios and
achieve significant gains in core online metrics. MeKB-Rec is now serving
hundreds of millions of users in real-world products. | [
0.035625092685222626,
-0.016596462577581406,
-0.0375848226249218,
-0.0390196219086647,
0.006465359125286341,
-0.017086395993828773,
-0.03469771891832352,
0.009912384673953056,
-0.023761726915836334,
0.007891412824392319,
0.028801031410694122,
-0.01919485442340374,
-0.0031014475971460342,
-0.037164878100156784,
-0.01634274795651436,
0.04650859162211418,
-0.009142490103840828,
-0.01257201749831438,
-0.041189324110746384,
0.009991123341023922,
-0.021679513156414032,
-0.03263300284743309,
-0.010804761201143265,
0.035502608865499496,
0.06089160963892937,
0.05158289149403572,
-0.012878225184977055,
0.003007398219779134,
-0.018582439050078392,
0.007830170914530754,
0.04356899857521057,
0.001159215229563415,
0.019772276282310486,
0.0005410582525655627,
-0.039859507232904434,
0.003998199012130499,
0.05872190743684769,
0.03364786505699158,
-0.010935992933809757,
-0.0005235606804490089,
0.005949180107563734,
0.021627020090818405,
-0.045808687806129456,
0.04269411787390709,
0.02117208205163479,
-0.012843230739235878,
-0.01851245015859604,
-0.0010394661221653223,
-0.031110713258385658,
-0.06649083644151688,
0.02712126262485981,
-0.04027945175766945,
0.038564685732126236,
0.008665680885314941,
-0.03331540897488594,
0.03223055973649025,
0.03074326366186142,
-0.002631200011819601,
0.05266774445772171,
0.026018915697932243,
-0.038319721817970276,
0.010384819470345974,
0.023954199627041817,
-0.003897588001564145,
0.017357608303427696,
-0.015634095296263695,
-0.007537086494266987,
0.030078355222940445,
0.032265555113554,
-0.033455390483140945,
-0.0295359306037426,
0.01835497096180916,
0.04990312457084656,
-0.006565970368683338,
-0.029990868642926216,
-0.016508975997567177,
0.05592229589819908,
0.03529263660311699,
0.04220418632030487,
0.006137279327958822,
0.047663431614637375,
0.02731373719871044,
0.017121391370892525,
0.004505629185587168,
0.024881571531295776,
-0.06239640340209007,
0.045773692429065704,
-0.060051724314689636,
0.007900161668658257,
-0.014173047617077827,
-0.03870466724038124,
-0.017270119860768318,
-0.04143429175019264,
-0.028293602168560028,
-0.02402419038116932,
-0.008486330509185791,
-0.022064460441470146,
0.008600065484642982,
-0.06649083644151688,
0.023114316165447235,
-0.03070826828479767,
-0.0469985231757164,
0.03137317672371864,
0.03604503348469734,
0.033262915909290314,
0.006014796439558268,
-0.030008364468812943,
0.001420585555024445,
-0.01307944767177105,
0.09588678926229477,
0.025773948058485985,
-0.002825860632583499,
-0.0288885198533535,
0.054697465151548386,
-0.016675202175974846,
0.02631637454032898,
-0.04923821613192558,
-0.05406755208969116,
0.02232692390680313,
-0.0537525936961174,
0.04591367393732071,
0.024531619623303413,
0.005826697219163179,
-0.02393670193850994,
-0.02696378529071808,
0.06428614258766174,
-0.009343712590634823,
0.03702490031719208,
-0.010087359696626663,
0.04640360549092293,
-0.017768802121281624,
0.06264136731624603,
-0.02341177500784397,
-0.04759344086050987,
0.03863467648625374,
0.036674946546554565,
0.05214281380176544,
0.040209461003541946,
-0.003567320993170142,
0.008656932041049004,
0.0040900614112615585,
-0.03814474493265152,
-0.017401352524757385,
-0.0070602772757411,
-0.015039177611470222,
0.03392782434821129,
-0.02776867337524891,
0.012038341723382473,
-0.01362187322229147,
0.014785462990403175,
-0.01702515408396721,
0.03545011579990387,
-0.0334903858602047,
-0.01573033258318901,
0.03950955718755722,
0.03077825903892517,
-0.010104857385158539,
-0.012991960160434246,
0.012720746919512749,
0.04864329844713211,
0.017803797498345375,
-0.005052428692579269,
0.016062786802649498,
0.054907433688640594,
0.027593698352575302,
0.034662723541259766,
0.05137292295694351,
-0.053577616810798645,
-0.05725211277604103,
0.042589131742715836,
-0.013105694204568863,
0.04216919094324112,
-0.02482907846570015,
0.01565159298479557,
-0.02715625800192356,
0.06684079021215439,
0.07460971921682358,
-0.05718212202191353,
-0.07642947137355804,
0.00824573915451765,
-0.009483693167567253,
0.02024471014738083,
0.01444425992667675,
0.020629657432436943,
0.0670507624745369,
0.0301833413541317,
0.04465384781360626,
0.005148665513843298,
-0.006465359125286341,
-0.03580006584525108,
0.04279910400509834,
0.04087436944246292,
0.03670994192361832,
0.007948280312120914,
0.022764364257454872,
-0.006045416928827763,
-0.00646973354741931,
-0.0021817306987941265,
-0.02386671118438244,
-0.00895439088344574,
-0.040979355573654175,
-0.03824973106384277,
0.04384895786643028,
-0.01870492286980152,
0.02390170656144619,
0.033700358122587204,
-0.004501254763454199,
0.0018197492463514209,
-0.042869094759225845,
-0.02579144574701786,
0.0046674818731844425,
-0.04815336689352989,
-0.0726499930024147,
-0.036639951169490814,
0.04006947949528694,
-0.01721762679517269,
-0.04216919094324112,
0.015222902409732342,
-0.03538012504577637,
-0.0349251888692379,
-0.0013046639505773783,
-0.012991960160434246,
0.05560733750462532,
0.018127502873539925,
-0.00337047316133976,
-0.02393670193850994,
0.030305825173854828,
0.016850179061293602,
0.0323355458676815,
-0.01032357756048441,
0.037969768047332764,
0.007034030742943287,
-0.00424535246565938,
0.01762882061302662,
0.03824973106384277,
-0.006242264993488789,
-0.015555356629192829,
-0.10274584591388702,
-0.05154789611697197,
0.01662270911037922,
-0.003523577004671097,
-0.004798713605850935,
-0.0035454488825052977,
-0.0321955643594265,
0.0644611194729805,
-0.047138504683971405,
-0.015844067558646202,
0.05371759831905365,
0.05959678813815117,
-0.01581782102584839,
-0.0013823095941916108,
0.0039916373789310455,
0.0001265157770831138,
0.0035629465710371733,
0.0001619894028408453,
0.02300933003425598,
0.06509102880954742,
0.016237761825323105,
-0.01959729939699173,
-0.04272911325097084,
0.016246510669589043,
0.01046355813741684,
0.016150275245308876,
-0.021417049691081047,
-0.00001424242236680584,
0.01710389368236065,
0.046298619359731674,
0.009221229702234268,
0.009842393919825554,
0.012493278831243515,
0.01588781177997589,
-0.0686955377459526,
-0.04402393475174904,
-0.07845918834209442,
-0.019124865531921387,
-0.04209920018911362,
-0.005559858866035938,
-0.07362985610961914,
0.03062078170478344,
0.025983920320868492,
0.01523165125399828,
-0.055712323635816574,
-0.005157414358109236,
0.011084722355008125,
-0.0362200103700161,
-0.024496624246239662,
-0.04573869705200195,
-0.07446973770856857,
-0.01690267026424408,
0.0171388890594244,
0.006911547854542732,
-0.027173755690455437,
-0.05697214975953102,
0.04937819764018059,
0.0510929599404335,
0.05823197588324547,
0.03046330250799656,
0.04101434722542763,
0.013569380156695843,
-0.03548511117696762,
0.005454873200505972,
0.031198201701045036,
0.013245674781501293,
0.02071714587509632,
-0.03522264584898949,
0.02523152343928814,
0.00006715383642585948,
0.06260637193918228,
0.022554391995072365,
-0.04507378861308098,
0.02892351523041725,
-0.020454682409763336,
-0.004092248622328043,
0.004772467538714409,
0.015984047204256058,
0.00935246143490076,
0.06169649958610535,
0.019684787839651108,
-0.0048599555157125,
-0.04251914098858833,
-0.04241415485739708,
0.006981538143008947,
-0.09798649698495865,
-0.033420395106077194,
-0.02265937812626362,
0.00587481539696455,
0.02446162886917591,
0.056272245943546295,
0.03464522585272789,
0.010236090049147606,
0.007856417447328568,
-0.030515795573592186,
0.008626311086118221,
-0.017410101369023323,
-0.028958510607481003,
0.005314892623573542,
0.03070826828479767,
0.02495156228542328,
-0.022711871191859245,
-0.0321955643594265,
0.009833645075559616,
0.03419028967618942,
-0.016727695241570473,
0.004391894675791264,
0.03098822943866253,
-0.005358636844903231,
0.011679640971124172,
0.026788808405399323,
-0.012677003629505634,
0.001499324687756598,
0.0010225153528153896,
0.029588423669338226,
-0.007077774964272976,
0.018862400203943253,
0.05767205357551575,
-0.0077033136039972305,
0.007598327938467264,
-0.019702285528182983,
0.013166936114430428,
0.014715472236275673,
-0.008381345309317112,
-0.06526600569486618,
-0.048223353922367096,
0.05228279531002045,
-0.05732210353016853,
0.008070763200521469,
0.026263881474733353,
0.005056803114712238,
0.013289419002830982,
-0.023271793499588966,
-0.015319139696657658,
-0.02297433465719223,
-0.01588781177997589,
0.04237915948033333,
0.0012456096010282636,
0.003208620473742485,
-0.004698102828115225,
-0.0037816665135324,
-0.04521377012133598,
0.03632499650120735,
0.029343457892537117,
-0.03971952572464943,
0.013315665535628796,
-0.012799486517906189,
0.03817974030971527,
0.023324286565184593,
0.05217780917882919,
0.05742708593606949,
-0.015844067558646202,
-0.031233197078108788,
-0.01027983333915472,
-0.024374142289161682,
-0.02965841442346573,
-0.011399678885936737,
0.025861436501145363,
0.006911547854542732,
0.028346095234155655,
0.05133792757987976,
0.022676875814795494,
0.007803924847394228,
-0.005673593375831842,
0.01523165125399828,
-0.03340289741754532,
0.00674094632267952,
0.01721762679517269,
-0.02997337095439434,
0.09168736636638641,
-0.050393056124448776,
0.028801031410694122,
0.029483437538146973,
-0.0066272118128836155,
-0.024654103443026543,
-0.006640335079282522,
-0.018687425181269646,
0.0055161151103675365,
0.06404117494821548,
-0.04465384781360626,
0.03821473568677902,
0.025896431878209114,
0.045808687806129456,
-0.021819492802023888,
-0.014269283972680569,
0.04755844548344612,
-0.0060497913509607315,
-0.0751696452498436,
0.06901048868894577,
0.04010447487235069,
-0.049833133816719055,
-0.007222129963338375,
-0.010271084494888783,
0.001010485808365047,
-0.012983211316168308,
0.06813561171293259,
-0.06267636269330978,
0.0010695401579141617,
0.009702413342893124,
0.008223867043852806,
-0.00967616681009531,
-0.03999948874115944,
-0.006014796439558268,
-0.011705887503921986,
-0.06533599644899368,
-0.028678549453616142,
-0.023971697315573692,
-0.010997234843671322,
0.026701321825385094,
0.008223867043852806,
0.008315728977322578,
-0.02132956124842167,
-0.04213419556617737,
-0.07705938071012497,
-0.0059754266403615475,
0.00016226280422415584,
-0.03573007881641388,
-0.015572854317724705,
-0.03364786505699158,
0.03870466724038124,
0.011093471199274063,
0.04384895786643028,
-0.054907433688640594,
-0.003460148349404335,
0.03737485036253929,
0.004271598998457193,
-0.012825733050704002,
0.011767128482460976,
0.07908910512924194,
-0.06351625174283981,
-0.01670144870877266,
-0.0057435836642980576,
-0.00784329418092966,
0.048223353922367096,
0.031933099031448364,
0.055992286652326584,
-0.020874623209238052,
-0.043673980981111526,
-0.003315793117508292,
0.011268447153270245,
-0.047383472323417664,
0.01261576171964407,
-0.03137317672371864,
-0.009020007215440273,
0.04080437868833542,
-0.059281833469867706,
-0.0011056289076805115,
0.013569380156695843,
-0.0010252493666484952,
-0.0376548133790493,
0.05025307461619377,
-0.0028346094768494368,
-0.015476617962121964,
-0.016430236399173737,
-0.003589192871004343,
-0.006837183143943548,
0.0012434223899617791,
-0.013569380156695843,
-0.05714712664484978,
-0.025074046105146408,
0.0329129658639431,
0.050078101456165314,
-0.04832834005355835,
0.00992113258689642,
0.03037581406533718,
0.032493021339178085,
0.032737988978624344,
0.01114596426486969,
0.031110713258385658,
0.023271793499588966,
0.03677993267774582,
-0.023306788876652718,
0.03053329326212406,
0.004759344272315502,
0.06264136731624603,
-0.025686461478471756,
-0.00472872331738472,
-0.016062786802649498,
-0.01321942824870348,
0.019527308642864227,
-0.02430415153503418,
0.033612869679927826,
0.00931746605783701,
0.0010952397715300322,
0.013201930560171604,
-0.021662015467882156,
0.01721762679517269,
-0.04251914098858833,
0.02160952240228653,
0.0028761662542819977,
-0.006959666032344103,
0.08251862972974777,
-0.003342039417475462,
-0.03065577521920204,
0.019492315128445625,
-0.002183917909860611,
-0.0316181443631649,
0.01774255558848381,
-0.003534513060003519,
0.05235278606414795,
0.03468022122979164,
0.022204440087080002,
-0.036919914186000824,
-0.05133792757987976,
0.04115432873368263,
0.016124028712511063,
0.02929096482694149,
-0.0019258284009993076,
-0.0002263750648126006,
0.02204696275293827,
-0.028398586437106133,
-0.002202508971095085,
0.0261588953435421,
0.023814218118786812,
-0.004702477250248194,
0.00022473465651273727,
-0.02873104065656662,
-0.004763718694448471,
-0.042554136365652084,
-0.010096108540892601,
-0.0067496951669454575,
-0.012624510563910007,
-0.06229141727089882,
0.02353425696492195,
0.025406500324606895,
-0.021539531648159027,
-0.0261588953435421,
-0.011154713109135628,
-0.006675330456346273,
0.01301820669323206,
0.02362174540758133,
0.0027733677998185158,
0.019527308642864227,
-0.012668254785239697,
-0.005621100310236216,
-0.026491349563002586,
-0.01782129518687725,
-0.01201209519058466,
0.0107435192912817,
-0.00779517600312829,
-0.02579144574701786,
0.01585281640291214,
-0.014418013393878937,
0.01694641448557377,
-0.039369575679302216,
0.009369959123432636,
0.03649996966123581,
-0.01734885945916176,
0.0164914783090353,
-0.00825011357665062,
-0.03912460803985596,
-0.006981538143008947,
-0.023971697315573692,
0.007738308981060982,
0.07586954534053802,
-0.02635136991739273,
0.008621936663985252,
0.009448697790503502,
-0.04437388479709625,
-0.004698102828115225,
-0.008941267617046833,
0.06204644963145256,
-0.08391843736171722,
0.004833708982914686,
0.011837119236588478,
0.04111933335661888,
-0.0016054038424044847,
-0.05620225518941879,
-0.007388357073068619,
0.06533599644899368,
-0.01466298010200262,
0.019212352111935616,
0.018652429804205894,
-0.033052947372198105,
0.0028083629440516233,
0.050603028386831284,
-0.05539736896753311,
0.02474159188568592,
0.006675330456346273,
0.09546684473752975,
-0.02325429581105709,
-0.02969340793788433,
0.0041381800547242165,
-0.0009257318452000618,
-0.02675381302833557,
0.048748284578323364,
-0.017812546342611313,
-0.04678855463862419,
0.03538012504577637,
0.02671881951391697,
-0.02731373719871044,
-0.01531039085239172,
0.014601738192141056,
-0.0281711183488369,
0.023324286565184593,
-0.03915960341691971,
-0.026666326448321342,
-0.006767192389816046,
0.0032742363400757313,
-0.03926458954811096,
0.018617434427142143,
0.03037581406533718,
-0.0012838855618610978,
-0.030795756727457047,
0.00775580620393157,
-0.023726731538772583,
0.054697465151548386,
-0.0017322612693533301,
0.009562432765960693,
0.012204568833112717,
0.005008684936910868,
0.025126537308096886,
-0.01221331674605608,
-0.042554136365652084,
-0.025773948058485985,
-0.01811000518500805,
0.026928789913654327,
0.016911419108510017,
-0.022309426218271255,
0.005258025601506233,
-0.0019575427286326885,
-0.022904343903064728,
-0.011487167328596115,
0.023446768522262573,
-0.01633399911224842,
0.003608877770602703,
-0.0045493729412555695,
0.042554136365652084,
-0.018984884023666382,
-0.05298269912600517,
0.033612869679927826,
0.014024317264556885,
0.04185423254966736,
0.020874623209238052,
-0.005607977509498596,
-0.08412840962409973,
0.027698684483766556,
-0.012764491140842438,
-0.03419028967618942,
0.0000958949894993566,
-0.016395241022109985,
0.0038341591134667397,
-0.012423288077116013,
-0.041224319487810135,
-0.03389282897114754,
-0.01150466501712799,
-0.03440026193857193,
-0.014278032816946507,
-0.017690062522888184,
-0.03179312124848366,
0.00573483482003212,
-0.020874623209238052,
0.006010422017425299,
-0.05560733750462532,
-0.004724348895251751,
0.0221344493329525,
0.04678855463862419,
0.009991123341023922,
0.018005019053816795,
-0.03786478191614151,
-0.010691027157008648,
-0.019282342866063118,
-0.015467869117856026,
-0.02663133107125759,
-0.007751431781798601,
-0.0017322612693533301,
0.02152203395962715,
0.03912460803985596,
0.018249984830617905,
0.02173200622200966,
0.01418179553002119,
-0.028626056388020515,
-0.024111676961183548,
0.014234288595616817,
0.007900161668658257,
-0.025406500324606895,
0.031688135117292404,
0.012493278831243515,
0.027331234887242317,
0.019772276282310486,
0.019929753616452217,
0.012283307500183582,
0.02201196737587452,
-0.026386365294456482,
0.01128594484180212,
0.055747319012880325,
-0.0470685139298439,
-0.015765327960252762,
-0.0010782888857647777,
0.02594892494380474,
-0.0010230621555820107,
0.02764619141817093,
0.01106722466647625,
0.016666453331708908,
-0.019124865531921387,
0.011644645594060421,
-0.022711871191859245,
0.01790878176689148,
-0.00490807369351387,
-0.031530655920505524,
0.021557029336690903,
-0.009282470680773258,
0.027296239510178566,
-0.031128210946917534,
-0.021469542756676674,
0.019422324374318123,
-0.054697465151548386,
0.013053201138973236,
0.0023490514140576124,
0.016360245645046234,
0.036639951169490814,
-0.001061338116414845,
0.03210807591676712,
0.01891489326953888,
-0.001210614456795156,
0.007147765252739191,
-0.03336790204048157,
-0.05987675115466118,
0.04549373313784599,
-0.011119717732071877,
-0.035345129668712616,
0.025861436501145363,
-0.007025281898677349,
0.02068215049803257,
0.03102322481572628,
-0.05903686583042145,
0.04591367393732071,
0.02892351523041725,
0.012344549410045147,
-0.06523101031780243,
0.003978514112532139,
-0.0007184947608038783,
-0.02808362990617752,
0.03179312124848366,
-0.02845107950270176,
0.04923821613192558,
0.016552720218896866,
0.04293908551335335,
0.00953618623316288,
-0.004719974473118782,
-0.012781988829374313,
-0.02108459547162056,
0.03151315823197365,
-0.015485366806387901,
0.027173755690455437,
0.0023556130472570658,
0.030918240547180176,
-0.03653496503829956,
0.0006802187999710441,
-0.026053911074995995,
0.003928208723664284,
0.047383472323417664,
-0.0035782570485025644,
0.0017945964355021715,
-0.03321042284369469,
0.03950955718755722,
0.0021861051209270954,
0.03982451185584068,
0.00985989160835743,
0.02594892494380474,
-0.008866903372108936,
0.0022200066596269608,
-0.028958510607481003,
0.026491349563002586,
-0.020454682409763336,
0.02204696275293827,
0.049553170800209045,
-0.05665719509124756,
0.011294693686068058,
0.009912384673953056,
-0.009842393919825554,
-0.028836026787757874,
0.0578470304608345,
0.01681518368422985,
0.04990312457084656,
-0.021627020090818405,
-0.016648955643177032,
0.013044452294707298,
-0.04181923717260361,
-0.059806760400533676,
-0.02409418113529682,
-0.0335603766143322,
-0.0071302675642073154,
-0.02957092598080635,
-0.01863493211567402,
-0.02052467130124569,
-0.018809909000992775,
-0.0060497913509607315,
0.0013855902943760157,
0.0241466723382473,
0.01811000518500805,
0.011137215420603752,
-0.018687425181269646,
0.02647385187447071,
0.023814218118786812,
-0.02204696275293827,
0.00424535246565938,
-0.005104921758174896,
0.04748845845460892,
0.04412892088294029,
0.001350595150142908,
0.03473271429538727,
0.02297433465719223,
0.048503316938877106,
0.0032195562962442636,
-0.005555484443902969,
-0.05515240132808685,
-0.05536237359046936,
0.0469985231757164,
-0.03195059671998024,
0.006539723835885525,
-0.024531619623303413,
0.04129431024193764,
0.03391032665967941,
0.0068240598775446415,
0.020262207835912704,
-0.020874623209238052,
-0.009702413342893124,
-0.00412505678832531,
-0.031215699389576912,
0.04724349081516266,
0.038809653371572495,
-0.005979801062494516,
0.07495967298746109,
-0.02461910806596279,
-0.06722573935985565,
-0.00376198161393404,
-0.00018618527974467725,
-0.0006167900282889605,
0.01931733824312687,
-0.061906471848487854,
-0.006495980080217123,
0.01466298010200262,
0.009159987792372704,
0.017121391370892525,
-0.01938732899725437,
0.008333226665854454,
-0.020629657432436943,
-0.0036066905595362186,
0.0187924113124609,
0.017935028299689293,
0.017208879813551903,
-0.009886138141155243,
0.043359026312828064,
0.021224575117230415,
0.04356899857521057,
0.021067097783088684,
0.05756706744432449,
-0.06372621655464172,
-0.015424124896526337,
-0.055467355996370316,
0.014531747438013554,
-0.0060497913509607315,
0.01669269986450672,
0.00134075281675905,
0.022904343903064728,
-0.04538874700665474,
0.020664652809500694,
-0.0005992924561724067,
-0.01537163183093071,
0.01738385483622551,
-0.005284272134304047,
0.03898463025689125,
-0.013525635935366154,
-0.021959474310278893,
-0.044198911637067795,
-0.04139929637312889,
0.03978951647877693,
0.013508139178156853,
0.003687616903334856,
-0.052212804555892944,
0.03286047279834747,
0.0009322934201918542,
-0.010874751955270767,
0.00236436165869236,
0.04482882469892502,
-0.000716854352504015,
0.015301642008125782,
0.00537175964564085,
-0.02461910806596279,
-0.0018919268622994423,
0.01394557859748602,
0.014592989347875118,
0.0509529784321785,
0.0912674218416214,
0.015161661431193352,
0.028678549453616142,
-0.01838996633887291,
0.028101127594709396,
-0.015966549515724182,
0.038494694977998734,
-0.006771566811949015,
0.020174719393253326,
-0.05161788687109947,
0.032125573605298996,
-0.03448774665594101,
0.017033902928233147,
-0.006421615369617939,
0.011355935595929623,
-0.04944818839430809,
-0.0234992615878582,
-0.0013888711109757423,
-0.01365686859935522,
0.00628600874915719,
-0.031688135117292404,
-0.01963229477405548,
0.03859968110918999,
0.03835471719503403,
-0.04356899857521057,
0.027541205286979675,
0.03175812587141991,
0.02402419038116932,
-0.0470685139298439,
-0.02985088713467121,
-0.02152203395962715,
0.004575619474053383,
-0.0011209392687305808,
0.018337473273277283,
0.010201094672083855,
-0.009369959123432636,
0.04941319301724434,
-0.034102801233530045,
0.003869154490530491,
-0.020629657432436943,
0.01448800414800644,
0.010761016979813576,
-0.009422452189028263,
-0.03926458954811096,
-0.0049736895598471165,
-0.01730511523783207,
-0.014916694723069668,
-0.06383120268583298,
0.01634274795651436,
-0.026981282979249954,
-0.0020603411830961704,
0.03245802968740463,
0.0031495660077780485,
0.03677993267774582,
-0.000768253521528095,
-0.0013309103669598699,
0.011023481376469135,
-0.027751175686717033,
-0.003016146831214428,
0.004816211294382811,
0.059246838092803955,
0.04083937406539917,
0.03555510193109512,
0.0007327115163207054,
-0.00881003588438034,
0.05585230514407158,
0.0018361532129347324,
-0.00917748548090458,
0.014601738192141056,
-0.04237915948033333,
-0.004348150920122862,
0.0309007428586483,
-0.05889688432216644,
-0.023446768522262573,
0.0074014803394675255,
-0.020349696278572083,
0.020069735124707222,
-0.007174011319875717,
0.004851206671446562,
-0.027541205286979675,
-0.031968094408512115,
-0.002239691326394677,
0.03560759499669075,
-0.053087685257196426,
-0.04381396248936653,
0.07999897748231888,
0.03006085753440857,
-0.017593825235962868,
0.05028806999325752,
0.007270248141139746,
0.00674094632267952,
0.003143004374578595,
-0.014260535128414631,
0.024076683446764946,
-0.0214520450681448,
-0.062431398779153824,
-0.026823803782463074,
0.00034147637779824436,
-0.020087232813239098,
0.01032357756048441,
-0.009746157564222813,
0.026578838005661964,
-0.02272936888039112
] |
The objective of this study is to investigate the application of various
channel attention mechanisms within the domain of brain-computer interface
(BCI) for motor imagery decoding. Channel attention mechanisms can be seen as a
powerful evolution of spatial filters traditionally used for motor imagery
decoding. This study systematically compares such mechanisms by integrating
them into a lightweight architecture framework to evaluate their impact. We
carefully construct a straightforward and lightweight baseline architecture
designed to seamlessly integrate different channel attention mechanisms. This
approach is contrary to previous works which only investigate one attention
mechanism and usually build a very complex, sometimes nested architecture. Our
framework allows us to evaluate and compare the impact of different attention
mechanisms under the same circumstances. The easy integration of different
channel attention mechanisms as well as the low computational complexity
enables us to conduct a wide range of experiments on three datasets to
thoroughly assess the effectiveness of the baseline model and the attention
mechanisms. Our experiments demonstrate the strength and generalizability of
our architecture framework as well as how channel attention mechanisms can
improve the performance while maintaining the small memory footprint and low
computational complexity of our baseline architecture. Our architecture
emphasizes simplicity, offering easy integration of channel attention
mechanisms, while maintaining a high degree of generalizability across
datasets, making it a versatile and efficient solution for EEG motor imagery
decoding within brain-computer interfaces. | [
0.0030110804364085197,
0.0011662717442959547,
-0.023030821233987808,
-0.024422692134976387,
0.001376792206428945,
0.015663186088204384,
0.02536916546523571,
0.03967759758234024,
-0.017927296459674835,
0.056157346814870834,
0.026649685576558113,
-0.057938940823078156,
0.022474072873592377,
-0.011320549063384533,
0.021174993366003036,
0.000756249763071537,
0.01902223378419876,
-0.017778828740119934,
-0.021193552762269974,
-0.011979367583990097,
0.04888250306248665,
-0.009538954123854637,
-0.027057968080043793,
-0.03392453119158745,
-0.01288872305303812,
0.04357483610510826,
0.03654124587774277,
-0.007052145432680845,
-0.03759906813502312,
0.01415068656206131,
0.005321586038917303,
0.022307049483060837,
-0.050775445997714996,
-0.028115790337324142,
-0.05214875936508179,
-0.03743204474449158,
0.01699938252568245,
-0.0019636976066976786,
0.015969397500157356,
0.027930207550525665,
0.021267784759402275,
-0.008689912967383862,
0.026297079399228096,
-0.019393399357795715,
-0.0034611185546964407,
0.000511512509547174,
-0.04717513918876648,
-0.05812452360987663,
-0.04465121403336525,
0.0016946026589721441,
0.015273462049663067,
-0.04342636838555336,
0.026890942826867104,
0.060945380479097366,
-0.012573232874274254,
0.04450275003910065,
0.03425857797265053,
0.013974382542073727,
0.030955206602811813,
0.07456715404987335,
0.03140060603618622,
0.014410502277314663,
-0.016303446143865585,
0.00877806544303894,
-0.0006779570830985904,
-0.06280121207237244,
0.022214258089661598,
-0.023439103737473488,
0.039009496569633484,
0.008230595849454403,
-0.10177358984947205,
0.02796732261776924,
-0.04758342355489731,
0.010216331109404564,
-0.012434045784175396,
-0.008583202958106995,
0.049884647130966187,
0.07616317272186279,
0.00833730585873127,
0.041347842663526535,
0.013918708078563213,
0.036634039133787155,
-0.01459608506411314,
0.036559805274009705,
0.03691241145133972,
-0.021750301122665405,
-0.024534042924642563,
-0.04966194927692413,
0.01407645270228386,
-0.015394090674817562,
-0.029563335701823235,
0.021509043872356415,
-0.01779738813638687,
-0.021416252478957176,
0.028672538697719574,
-0.039714712649583817,
0.013278447091579437,
-0.014957970939576626,
-0.0307510644197464,
-0.05033004656434059,
0.03394308686256409,
0.0056277974508702755,
-0.04788035526871681,
-0.027633273974061012,
0.016238491982221603,
-0.05805028975009918,
-0.045987412333488464,
-0.02245551533997059,
0.003983070142567158,
0.09657727181911469,
-0.08447727560997009,
0.017593245953321457,
-0.021026527509093285,
-0.014308431185781956,
-0.00011961389827774838,
0.012192787602543831,
-0.06213311105966568,
-0.025239257141947746,
-0.015561114996671677,
-0.020209964364767075,
0.07378771156072617,
0.08135948330163956,
-0.024292783811688423,
0.0572708435356617,
-0.04569047689437866,
0.06447145342826843,
-0.012387650087475777,
-0.023550452664494514,
-0.001789713860489428,
0.020692478865385056,
-0.003356728469952941,
0.01983879879117012,
-0.03652269020676613,
0.018762419000267982,
0.028171464800834656,
-0.0034866363275796175,
0.0401972271502018,
0.056714095175266266,
-0.0015774535713717341,
-0.04821440204977989,
-0.004498062189668417,
-0.047212257981300354,
0.0018349495949223638,
0.040382809937000275,
0.03487100079655647,
-0.006861922796815634,
-0.0020866463892161846,
0.09613187611103058,
-0.01602507196366787,
0.0022884674835950136,
-0.01475383061915636,
0.03674538806080818,
-0.057790473103523254,
0.04116225987672806,
0.02058112993836403,
-0.007465066853910685,
0.012062880210578442,
0.007622812408953905,
-0.0148466220125556,
-0.03262545168399811,
0.05255704000592232,
-0.017435500398278236,
0.0174911767244339,
0.0038415633607655764,
0.054858267307281494,
0.03635566309094429,
0.017992248758673668,
0.010531822219491005,
-0.07779629528522491,
0.05311378836631775,
-0.031753212213516235,
0.03522361069917679,
-0.024014409631490707,
0.0018059522844851017,
-0.0005062929703854024,
0.0009841686114668846,
0.06105673313140869,
-0.02455260045826435,
-0.09895273298025131,
0.006820166949182749,
-0.05129507929086685,
0.012907281517982483,
0.06461992114782333,
0.006574269849807024,
0.05845857411623001,
0.03897238150238991,
0.07345365732908249,
0.003839243669062853,
0.006393326446413994,
-0.014828063547611237,
-0.0032708963844925165,
0.018901605159044266,
0.03585459291934967,
-0.03440704569220543,
0.049810416996479034,
-0.047286488115787506,
-0.012526837177574635,
-0.011181361973285675,
0.03221716731786728,
0.010513263754546642,
-0.045653361827135086,
-0.03446272015571594,
-0.02284523844718933,
0.012415487319231033,
-0.06016593426465988,
-0.03726502135396004,
-0.0016319685382768512,
-0.037450604140758514,
0.0123134171590209,
-0.03886103257536888,
-0.008880135603249073,
-0.013037189841270447,
-0.05808740854263306,
-0.023476220667362213,
-0.010819475166499615,
0.002735026180744171,
0.020209964364767075,
-0.037933118641376495,
0.0023615406826138496,
0.012007204815745354,
0.057456426322460175,
0.04513372853398323,
0.04416869953274727,
0.016804520040750504,
-0.01036479789763689,
0.00656963000074029,
-0.02755904197692871,
0.015960117802023888,
0.03830428421497345,
0.023624686524271965,
-0.01928205043077469,
0.02137913554906845,
0.024385575205087662,
-0.006824806332588196,
-0.005567483138293028,
-0.04587605968117714,
0.048103053122758865,
-0.04962483420968056,
0.007158855441957712,
-0.0005860356031917036,
-0.05805028975009918,
-0.022511189803481102,
-0.03214293718338013,
0.03878679871559143,
0.056231580674648285,
-0.008796622976660728,
-0.01459608506411314,
0.031753212213516235,
0.015217787586152554,
-0.01305574830621481,
-0.018326299265027046,
0.024849532172083855,
-0.01627560891211033,
0.034184347838163376,
-0.01878097653388977,
0.04650704190135002,
0.04595029354095459,
-0.031586188822984695,
0.01617353782057762,
-0.006555711384862661,
0.027874531224370003,
0.009854445233941078,
0.01902223378419876,
0.007877988740801811,
-0.00218407716602087,
-0.04750918969511986,
0.07297114282846451,
-0.00041698128916323185,
-0.028097230941057205,
-0.07538372278213501,
0.008402260020375252,
-0.0032059424556791782,
-0.01682307757437229,
-0.008295550011098385,
0.05960918590426445,
0.01081019639968872,
0.054449986666440964,
-0.05055274814367294,
-0.01464248076081276,
0.01668389141559601,
0.019486190751194954,
0.05701102688908577,
0.021082201972603798,
-0.01764892227947712,
-0.023494778200984,
0.015050762332975864,
0.027670390903949738,
0.008351224474608898,
-0.04153342545032501,
-0.00262367632240057,
0.002458971692249179,
-0.06614170223474503,
-0.0554521307349205,
-0.02666824497282505,
0.029953058809041977,
-0.04628434404730797,
-0.015217787586152554,
-0.03024999238550663,
-0.015551836229860783,
-0.009232742711901665,
-0.06569629907608032,
0.004006267990916967,
-0.01619209721684456,
0.006286616437137127,
-0.0593864880502224,
0.012035042978823185,
0.008026454597711563,
0.025573305785655975,
-0.025517631322145462,
-0.04041992872953415,
0.01853971928358078,
0.006676340010017157,
-0.024830974638462067,
-0.032662566751241684,
-0.03251410275697708,
0.05196317657828331,
0.03693097084760666,
0.017361268401145935,
-0.014132128097116947,
0.009928678162395954,
-0.015134274959564209,
0.022381281480193138,
-0.11253739148378372,
0.02837560512125492,
-0.05853280425071716,
-0.012350533157587051,
-0.004096739459782839,
0.0616505965590477,
-0.028969470411539078,
-0.006945434957742691,
-0.03706087917089462,
0.00719597190618515,
-0.019653216004371643,
-0.027057968080043793,
-0.05196317657828331,
-0.0072423676028847694,
-0.01983879879117012,
0.03732069581747055,
-0.028078673407435417,
-0.026371311396360397,
-0.04220152273774147,
-0.019857356324791908,
-0.05589753016829491,
-0.049736183136701584,
-0.02991594187915325,
0.01570030301809311,
-0.030454132705926895,
-0.012220625765621662,
0.015663186088204384,
-0.07000181823968887,
0.0009371929918415844,
-0.024367017671465874,
-0.017194243147969246,
0.02154615893959999,
-0.023476220667362213,
-0.029730359092354774,
-0.01974600739777088,
-0.015811651945114136,
0.023197846487164497,
0.035576216876506805,
-0.01668389141559601,
-0.03559477627277374,
0.005140642635524273,
0.005214876029640436,
-0.05552636459469795,
-0.005827298853546381,
-0.05504385009407997,
-0.0035863870289176702,
-0.02594447135925293,
0.00111755623947829,
-0.021843092516064644,
0.03531640022993088,
-0.06432298570871353,
0.009557512588799,
0.008221317082643509,
0.0148466220125556,
0.008467214182019234,
0.02813434787094593,
-0.006653142161667347,
0.06317237764596939,
0.032421309500932693,
-0.01069884654134512,
-0.011283432133495808,
0.00882910005748272,
0.012471161782741547,
0.030695389956235886,
0.005391179583966732,
-0.017918016761541367,
-0.06198464706540108,
0.03425857797265053,
-0.005251992493867874,
-0.07230304926633835,
-0.021973000839352608,
-0.06465703994035721,
0.0020437303464859724,
0.05174047499895096,
0.015923000872135162,
0.01731487177312374,
0.028579747304320335,
-0.007720243185758591,
-0.05797605589032173,
0.0008589002536609769,
0.0234205462038517,
-0.0488082692027092,
-0.03381318226456642,
-0.0005242713377811015,
-0.0234205462038517,
0.014039336703717709,
0.03201302886009216,
0.00829091016203165,
-0.024608274921774864,
-0.04520796239376068,
-0.02432990074157715,
-0.006314453668892384,
0.013566100969910622,
0.005474691744893789,
-0.04546777904033661,
0.0016122503438964486,
0.022399840876460075,
-0.0341472290456295,
-0.042498454451560974,
0.02733634226024151,
0.03325643390417099,
-0.03219861164689064,
-0.028969470411539078,
-0.025684654712677002,
0.015115716494619846,
-0.04097667708992958,
-0.012081438675522804,
-0.002528565237298608,
0.0123134171590209,
-0.013371238484978676,
0.005739147309213877,
-0.03448127955198288,
-0.007070703431963921,
-0.02674247696995735,
-0.014262035489082336,
0.005075688939541578,
-0.0471380241215229,
-0.043946001678705215,
-0.012118554674088955,
0.021991558372974396,
-0.014874459244310856,
-0.03514937683939934,
-0.016219934448599815,
-0.0163591206073761,
0.019578982144594193,
0.01532913651317358,
-0.0122020673006773,
-0.012730978429317474,
-0.062170229852199554,
0.013213492929935455,
-0.0598318837583065,
-0.025796005502343178,
-0.013185655698180199,
-0.010151377879083157,
0.017537571489810944,
-0.02056257054209709,
0.016711728647351265,
-0.018920162692666054,
0.024849532172083855,
0.020265638828277588,
-0.017435500398278236,
0.0063422913663089275,
0.038341399282217026,
0.020599687471985817,
-0.03618863970041275,
-0.0657334178686142,
0.0007574096671305597,
0.02984170988202095,
0.002892771502956748,
-0.030212875455617905,
-0.0014881418319419026,
0.059312254190444946,
0.014670317992568016,
0.011682434938848019,
0.04268403723835945,
-0.006996470503509045,
0.015162112191319466,
-0.004486463498324156,
0.004094420000910759,
-0.0244041346013546,
-0.012879444286227226,
-0.007344438228756189,
-0.0401972271502018,
0.005094246938824654,
0.0032894546166062355,
0.04108802601695061,
-0.023717477917671204,
-0.04431716725230217,
-0.023067938163876534,
-0.023698920384049416,
0.051369309425354004,
0.01918925903737545,
-0.03470397740602493,
-0.03073250688612461,
0.00022646896832156926,
-0.030194316059350967,
0.09019322693347931,
0.04453986510634422,
-0.006787689868360758,
-0.0010526023106649518,
0.05942360311746597,
-0.018168553709983826,
0.02505367435514927,
0.04179323837161064,
0.016136422753334045,
0.004052663687616587,
-0.03307085111737251,
0.0034541592467576265,
0.06432298570871353,
-0.010912266559898853,
-0.0010723203886300325,
-0.03585459291934967,
0.03132637217640877,
-0.012387650087475777,
-0.025165023282170296,
-0.012109275907278061,
-0.01789017952978611,
0.004015547223389149,
0.010513263754546642,
0.025591863319277763,
-0.002294267062097788,
0.08232451975345612,
-0.008420818485319614,
0.02928496152162552,
0.02147192694246769,
-0.004321758635342121,
-0.003920435905456543,
-0.0022003157064318657,
-0.02993450127542019,
0.005391179583966732,
-0.029247844591736794,
-0.054784033447504044,
0.03722790256142616,
0.0143919438123703,
0.023457661271095276,
-0.025109348818659782,
-0.02252974919974804,
-0.03245842829346657,
-0.019578982144594193,
0.061836179345846176,
-0.012183508835732937,
-0.003414723090827465,
-0.04131072387099266,
-0.0046929242089390755,
0.05433863401412964,
-0.06729231029748917,
-0.012730978429317474,
0.04702667519450188,
0.03897238150238991,
0.0023569012992084026,
0.00996579509228468,
0.01918925903737545,
-0.018753139302134514,
-0.039714712649583817,
0.006894399877637625,
-0.002428814535960555,
-0.055415015667676926,
-0.01943051628768444,
0.005140642635524273,
-0.027670390903949738,
0.011209199205040932,
0.03034278377890587,
-0.010392635129392147,
-0.035334959626197815,
-0.011376223526895046,
0.04717513918876648,
0.068294458091259,
0.028412722051143646,
-0.003976110834628344,
-0.0026329555548727512,
0.043389253318309784,
0.01199792604893446,
0.04539354518055916,
0.018317019566893578,
0.05129507929086685,
0.00025590125005692244,
-0.0048715476877987385,
0.014262035489082336,
0.027224993333220482,
-0.01814071647822857,
0.014586805365979671,
0.06268986314535141,
-0.004235926549881697,
0.02202867530286312,
-0.007952221669256687,
-0.04279538616538048,
-0.024775300174951553,
-0.03500090911984444,
0.023290637880563736,
0.07401040941476822,
0.023160729557275772,
-0.016164259985089302,
-0.06131654605269432,
-0.030194316059350967,
-0.004630289971828461,
0.0466926246881485,
0.017908737063407898,
-0.0763116329908371,
-0.031270697712898254,
0.018883047625422478,
-0.003440240630879998,
0.01983879879117012,
0.026631128042936325,
0.015032204799354076,
0.009209545329213142,
0.00368845765478909,
-0.020878061652183533,
0.048437103629112244,
0.008963648229837418,
0.01935628242790699,
0.02902514487504959,
-0.00592009024694562,
0.016442634165287018,
0.020915178582072258,
0.02137913554906845,
0.0009186347015202045,
0.02356901206076145,
0.006667061243206263,
0.06161348149180412,
-0.011598923243582249,
0.042572688311338425,
-0.014865179546177387,
0.050775445997714996,
-0.003806766588240862,
0.009209545329213142,
-0.017110731452703476,
0.009487919509410858,
-0.000040994942537508905,
-0.007163494825363159,
0.01150613185018301,
-0.0423128716647625,
-0.014336269348859787,
-0.009863724000751972,
-0.022956589236855507,
-0.014902296476066113,
0.004644209053367376,
-0.00599896302446723,
-0.009371929802000523,
-0.015923000872135162,
-0.017184965312480927,
-0.044280048459768295,
0.011005057953298092,
-0.009603908285498619,
0.055006735026836395,
-0.0321800522506237,
-0.01724063977599144,
0.04732360690832138,
0.017667479813098907,
0.03743204474449158,
0.007771278731524944,
0.01666533201932907,
0.0424613393843174,
-0.04331501945853233,
-0.026222845539450645,
-0.0007997457287274301,
0.009576071053743362,
0.003203622531145811,
-0.015217787586152554,
0.016628216952085495,
0.033015176653862,
0.024663949385285378,
-0.0001819581084419042,
0.024107201024889946,
0.012062880210578442,
0.009390488266944885,
0.006091754417866468,
0.020358430221676826,
0.048993851989507675,
-0.022789563983678818,
-0.04361195117235184,
-0.04706379026174545,
0.022993706166744232,
0.0033845657017081976,
-0.019244933500885963,
0.008411538787186146,
0.050626978278160095,
-0.023643244057893753,
-0.017055056989192963,
-0.00029867226839996874,
0.007877988740801811,
-0.02332775481045246,
-0.04750918969511986,
0.04123649001121521,
-0.00903324130922556,
-0.001782754436135292,
0.015598231926560402,
-0.04294385388493538,
-0.04142207279801369,
0.010067865252494812,
-0.02991594187915325,
0.025907354429364204,
-0.006620665546506643,
0.028115790337324142,
-0.010355518199503422,
-0.04327790066599846,
-0.02609293721616268,
0.05010734871029854,
-0.002765183337032795,
0.00000864482262841193,
-0.0018755458295345306,
-0.017611805349588394,
-0.008406899869441986,
0.04316655173897743,
0.034277137368917465,
-0.002802299801260233,
-0.036392781883478165,
-0.010030748322606087,
0.012508278712630272,
-0.027540482580661774,
-0.009237382560968399,
0.022140024229884148,
0.029563335701823235,
-0.0011158164124935865,
-0.00044191896449774504,
0.007047505583614111,
0.009808049537241459,
-0.0003528972447384149,
0.02690950222313404,
-0.01893872208893299,
0.014178523793816566,
-0.0049040247686207294,
-0.05845857411623001,
-0.014122848398983479,
0.04635857790708542,
0.00200081430375576,
-0.02546195685863495,
-0.009446162730455399,
0.002746625104919076,
0.03748771920800209,
-0.026000145822763443,
-0.07104108482599258,
0.00342632201500237,
-0.010123539716005325,
-0.011051453649997711,
0.020525453612208366,
0.0642116367816925,
0.03520505130290985,
-0.002042570384219289,
-0.008680634200572968,
-0.008193478919565678,
-0.002272228943184018,
-0.00662530492991209,
0.01798297092318535,
0.06057421490550041,
-0.03897238150238991,
0.023142172023653984,
-0.0746413916349411,
-0.009450802579522133,
0.04145919159054756,
0.012378370389342308,
0.02741057612001896,
-0.030398458242416382,
-0.023439103737473488,
-0.0070985411293804646,
0.02627852000296116,
0.015171391889452934,
0.03342345729470253,
0.010485426522791386,
-0.005646355915814638,
0.008100687526166439,
0.01619209721684456,
0.035409193485975266,
0.08811470121145248,
0.03245842829346657,
0.0021144836209714413,
0.0042289672419428825,
0.01150613185018301,
-0.06020304933190346,
0.01871602237224579,
-0.009293057024478912,
0.053559187799692154,
-0.030880972743034363,
0.03193879500031471,
0.018344856798648834,
-0.0007040546624921262,
0.0025911994744092226,
-0.04138495773077011,
0.037524838000535965,
0.02204723283648491,
0.013000072911381721,
0.015106437727808952,
0.074789859354496,
0.016303446143865585,
-0.03559477627277374,
-0.03609585016965866,
-0.03774753585457802,
-0.015152833424508572,
0.019578982144594193,
0.02618572860956192,
-0.02089661918580532,
0.04765765368938446,
-0.017287034541368484,
0.06513955444097519,
-0.027020851150155067,
-0.02390306070446968,
0.015793094411492348,
-0.034611187875270844,
-0.021564718335866928,
0.024849532172083855,
-0.002377779223024845,
-0.02245551533997059,
0.012981514446437359,
-0.00524735264480114,
-0.03559477627277374,
-0.04097667708992958,
-0.013593938201665878,
-0.020803827792406082,
0.006356209982186556,
-0.024274226278066635,
-0.06172483041882515,
0.05040428042411804,
0.033701829612255096,
0.0019567382987588644,
0.0082537941634655,
-0.07530948519706726,
-0.019541865214705467,
0.0008136644610203803,
-0.012666024267673492,
-0.020636804401874542,
-0.01738910563290119,
0.0309737641364336,
-0.016322005540132523,
-0.05600887909531593,
-0.021453367546200752,
0.03490811958909035,
-0.005187038332223892,
0.021973000839352608,
0.004159373696893454,
0.026872385293245316,
-0.006801608484238386,
-0.02479385770857334,
0.027057968080043793,
-0.00368845765478909,
0.04142207279801369,
-0.0385269820690155,
0.0026283159386366606,
0.04316655173897743,
0.030843855813145638,
0.003957552369683981,
0.003356728469952941,
-0.05470979958772659,
-0.0019752965308725834,
-0.012276300229132175,
-0.014132128097116947,
0.022808123379945755,
-0.003744132351130247,
-0.006300535053014755,
-0.022492632269859314,
0.009149231016635895,
0.009854445233941078,
0.03277391567826271,
0.003795167664065957,
-0.040865324437618256,
0.030602598562836647,
0.05081256106495857,
0.0027860612608492374,
-0.025814563035964966,
-0.0331636406481266,
0.04171900823712349,
-0.023160729557275772,
-0.011747389100492,
-0.0015403369907289743,
-0.014057895168662071,
-0.000507742865011096,
-0.03507514297962189,
-0.0244783665984869,
-0.013640333898365498,
-0.018604673445224762,
-0.050367165356874466,
-0.01150613185018301,
-0.03967759758234024,
0.015913723036646843,
-0.02397729456424713,
0.012118554674088955,
-0.051035262644290924,
-0.014308431185781956,
0.02755904197692871,
-0.0037534115836024284,
0.04067974165081978,
0.012322695925831795,
0.024738183245062828,
0.015607510693371296,
0.04398311674594879,
0.01991303078830242,
-0.02919217012822628,
-0.028653979301452637,
-0.038675449788570404,
-0.02171318419277668,
0.015793094411492348,
0.015839489176869392,
0.022140024229884148,
-0.03308940678834915,
0.0021655189339071512,
-0.015004366636276245,
0.02351333759725094,
-0.009975073859095573,
0.007868709042668343,
0.012415487319231033,
0.007701685186475515,
-0.025981588289141655,
-0.017936574295163155,
-0.047769006341695786,
-0.0359659418463707,
-0.0018859849078580737,
-0.03453695401549339,
-0.028319930657744408,
0.00699183065444231,
-0.04212728887796402,
-0.0370979942381382,
-0.021082201972603798,
-0.016451912000775337,
-0.015004366636276245,
0.013714566826820374,
-0.0067459335550665855,
-0.01195153035223484,
-0.043946001678705215,
0.010800917632877827,
0.011181361973285675,
0.0466926246881485,
0.0296932440251112,
-0.034518394619226456,
0.007724883034825325,
-0.037524838000535965,
-0.021694626659154892,
-0.02497944049537182,
0.019115025177598,
0.021342018619179726,
0.015672465786337852,
0.014401222579181194,
0.0175654087215662,
0.006796969100832939,
0.032495543360710144,
0.04773188754916191,
-0.04097667708992958,
-0.08455151319503784,
0.00991939939558506,
-0.023476220667362213,
0.02269677259027958,
-0.009102835319936275,
-0.007265565451234579,
0.03604017570614815,
0.0385269820690155,
0.016507588326931,
-0.06358065456151962,
0.051035262644290924,
-0.010281285271048546,
-0.02252974919974804,
0.027373459190130234,
-0.02609293721616268,
-0.031604744493961334,
0.026241403073072433,
-0.00890797283500433,
-0.01716640591621399,
-0.009293057024478912,
-0.017760271206498146,
-0.009042520076036453,
-0.003147947834804654,
0.008819821290671825,
0.0025216059293597937,
-0.009139951318502426,
-0.028041556477546692,
-0.011070012114942074,
-0.01641479693353176,
0.010912266559898853,
-0.03685673698782921,
-0.02368036098778248,
-0.029581893235445023,
-0.0071681346744298935,
0.004157054238021374,
-0.07876132428646088,
-0.014809505082666874,
0.0028278175741434097,
0.028746770694851875,
0.0015936919953674078,
0.003788208356127143,
-0.007311961147934198,
0.006425803527235985,
-0.014206361025571823,
0.03889814764261246,
0.01909646764397621,
0.052260108292102814,
-0.05853280425071716,
0.02072959579527378,
-0.001837269403040409,
0.03535351902246475,
0.024107201024889946,
-0.04583894461393356,
0.010197773575782776,
-0.01659110002219677,
0.0017630363581702113,
0.004238246474415064,
-0.0309737641364336,
-0.01540337037295103,
0.013426913879811764,
-0.012044321745634079,
-0.020209964364767075,
-0.004029465839266777,
0.004453986417502165,
0.008518248796463013,
-0.018103599548339844,
-0.029173610731959343,
0.04272115230560303,
-0.04854845255613327,
0.055749062448740005,
0.03503802791237831,
0.009854445233941078,
-0.006370128598064184,
0.047286488115787506,
0.017342709004878998,
-0.004456306342035532,
-0.01789945736527443,
-0.01240620855242014,
0.0296932440251112,
-0.017528291791677475,
-0.07092973589897156,
0.012786652892827988,
0.026389870792627335,
-0.04583894461393356,
0.03524216637015343,
-0.0060592773370444775,
0.015152833424508572,
-0.07130090147256851
] |
The prevalent deployment of learning from human preferences through
reinforcement learning (RLHF) relies on two important approximations: the first
assumes that pairwise preferences can be substituted with pointwise rewards.
The second assumes that a reward model trained on these pointwise rewards can
generalize from collected data to out-of-distribution data sampled by the
policy. Recently, Direct Preference Optimisation (DPO) has been proposed as an
approach that bypasses the second approximation and learn directly a policy
from collected data without the reward modelling stage. However, this method
still heavily relies on the first approximation.
In this paper we try to gain a deeper theoretical understanding of these
practical algorithms. In particular we derive a new general objective called
$\Psi$PO for learning from human preferences that is expressed in terms of
pairwise preferences and therefore bypasses both approximations. This new
general objective allows us to perform an in-depth analysis of the behavior of
RLHF and DPO (as special cases of $\Psi$PO) and to identify their potential
pitfalls. We then consider another special case for $\Psi$PO by setting $\Psi$
simply to Identity, for which we can derive an efficient optimisation
procedure, prove performance guarantees and demonstrate its empirical
superiority to DPO on some illustrative examples. | [
-0.033929962664842606,
-0.006260671652853489,
-0.04112613573670387,
-0.01701895333826542,
0.026967663317918777,
0.030349865555763245,
0.012809189967811108,
0.01657818630337715,
-0.05854087695479393,
-0.016227373853325844,
0.06325437128543854,
-0.011639812029898167,
0.03911120817065239,
-0.04922183230519295,
-0.017441727221012115,
-0.016200387850403786,
0.0064405761659145355,
0.04835829138755798,
-0.049797527492046356,
-0.02632000856101513,
-0.004843924660235643,
-0.03331828862428665,
-0.02202029339969158,
0.0695510283112526,
0.02808307111263275,
0.033012449741363525,
0.011127084493637085,
-0.023729385808110237,
-0.04278125613927841,
0.04691905528306961,
0.0010355744743719697,
0.04594757407903671,
-0.039039246737957,
-0.0031843071337789297,
-0.002291531767696142,
-0.023387566208839417,
0.037240203469991684,
-0.019069861620664597,
-0.0132499560713768,
0.078078493475914,
0.004131054040044546,
0.04583963006734848,
-0.0014313641004264355,
-0.054007288068532944,
0.0266618262976408,
-0.02009531669318676,
0.009795792400836945,
0.05677781626582146,
0.0005425240960903466,
-0.02124670520424843,
-0.00168660341296345,
-0.031033502891659737,
-0.004472872242331505,
-0.003690288169309497,
-0.023225652053952217,
-0.017234837636351585,
0.03585493937134743,
-0.04177379235625267,
0.05566240847110748,
0.00018636966706253588,
-0.017117898911237717,
-0.0034631588496267796,
-0.10679122805595398,
-0.04101819545030594,
0.03614278510212898,
-0.019807469099760056,
0.03240077570080757,
0.029036562889814377,
0.03306642174720764,
-0.005680480040609837,
-0.051524609327316284,
0.000642595870885998,
-0.0330304391682148,
0.03635866940021515,
-0.02259598672389984,
-0.011603831313550472,
0.05404327064752579,
0.005815408658236265,
0.029342401772737503,
0.007893303409218788,
0.024035222828388214,
-0.007070241495966911,
0.02608613297343254,
0.005954834166914225,
0.05130872502923012,
-0.03777991607785225,
0.03925513103604317,
-0.03639465197920799,
-0.003960144706070423,
-0.04195369780063629,
-0.020221250131726265,
0.0083385668694973,
-0.015462779439985752,
0.0010839237365871668,
-0.016497230157256126,
0.01738775707781315,
-0.004969858098775148,
-0.029126515612006187,
-0.043644797056913376,
0.028352927416563034,
0.007308614440262318,
-0.013339907862246037,
-0.00008946025627665222,
0.030026037245988846,
0.007070241495966911,
-0.05008537322282791,
-0.04134202003479004,
0.007753877900540829,
-0.00039466519956476986,
0.16335316002368927,
-0.020455125719308853,
0.04270929470658302,
-0.041809774935245514,
0.020041346549987793,
-0.06944308429956436,
-0.02324364334344864,
-0.03961493819952011,
-0.053107768297195435,
0.05573436990380287,
-0.07627944648265839,
0.028352927416563034,
0.07498414069414139,
0.056849777698516846,
0.009202107787132263,
-0.007326605264097452,
0.024970725178718567,
-0.006085264962166548,
0.013681726530194283,
0.017117898911237717,
0.0004694379458669573,
0.036088813096284866,
0.010281533934175968,
-0.024449001997709274,
-0.02160651423037052,
0.0193577092140913,
0.0676080584526062,
0.006089762784540653,
-0.007110720034688711,
-0.027363453060388565,
0.02691369131207466,
-0.01466220524162054,
-0.042133599519729614,
-0.00017568784824106842,
-0.021318666636943817,
0.031033502891659737,
0.03132135048508644,
0.0028964602388441563,
0.008334069512784481,
-0.015588712878525257,
-0.013843640685081482,
-0.02284785360097885,
0.02799311839044094,
0.022542016580700874,
0.042637333273887634,
0.053359631448984146,
0.024790821596980095,
-0.014032539911568165,
-0.021642494946718216,
0.0033507186453789473,
-0.04706298187375069,
0.09534931182861328,
-0.0006184212397783995,
-0.018728043884038925,
0.049041926860809326,
0.011306989006698132,
0.06868748366832733,
0.012944119051098824,
-0.022308140993118286,
-0.06321839243173599,
0.03473953157663345,
-0.0679318830370903,
-0.03464958071708679,
-0.017765555530786514,
0.037995800375938416,
-0.010740290395915508,
0.04598355293273926,
0.05483485013246536,
-0.01867407187819481,
0.02565436251461506,
-0.007326605264097452,
-0.018746035173535347,
-0.01490507647395134,
0.00745253823697567,
-0.0012660769280046225,
0.027795223519206047,
0.011810720898211002,
0.07584767788648605,
0.01724383234977722,
-0.007277131546288729,
-0.02525857277214527,
0.027057616040110588,
0.04209762066602707,
0.005977322347462177,
-0.0015910292277112603,
0.001892369007691741,
-0.03752804920077324,
-0.05879274383187294,
0.0018046656623482704,
0.026284027844667435,
0.027039624750614166,
0.014725171960890293,
-0.09657265990972519,
0.02491675317287445,
0.003906173398718238,
0.0050733028911054134,
-0.03198699653148651,
0.030943550169467926,
0.017234837636351585,
0.04144996404647827,
-0.06451370567083359,
0.009035696275532246,
-0.035009387880563736,
-0.07498414069414139,
-0.026553884148597717,
-0.027453405782580376,
-0.02500670589506626,
0.01154986023902893,
0.0035238766577094793,
-0.020635029301047325,
-0.05839695408940315,
-0.01145990751683712,
0.033426228910684586,
0.03398393467068672,
-0.015651678666472435,
0.02376536652445793,
-0.0001551675086375326,
0.0021655987948179245,
0.026967663317918777,
0.015183928422629833,
0.010965170338749886,
0.017972445115447044,
-0.005657992325723171,
0.04368077963590622,
-0.022380102425813675,
-0.006062776781618595,
0.02416115626692772,
-0.007812346797436476,
0.015174932777881622,
0.029036562889814377,
-0.027111586183309555,
-0.014104501344263554,
-0.056094180792570114,
0.04526393860578537,
0.046451304107904434,
0.005936843808740377,
0.02333359606564045,
-0.0358729287981987,
0.04641532525420189,
0.021300675347447395,
0.008095696568489075,
0.019231775775551796,
-0.05087695270776749,
-0.008437514305114746,
0.021300675347447395,
-0.03889532387256622,
0.08081303536891937,
0.031501252204179764,
-0.05836097523570061,
-0.007776366081088781,
-0.07577571272850037,
0.03777991607785225,
0.051200781017541885,
0.05274795740842819,
0.008968232199549675,
-0.0016697373939678073,
-0.009471964091062546,
0.06562910974025726,
-0.010002681985497475,
-0.02932441048324108,
0.03795982152223587,
0.016893019899725914,
0.019159814342856407,
-0.00016823867917992175,
-0.008684882894158363,
-0.04458029940724373,
-0.06426183879375458,
0.03265264257788658,
-0.03513532131910324,
0.08325973898172379,
0.004346939269453287,
-0.017054934054613113,
-0.007528997492045164,
-0.0011390194995328784,
-0.009206606075167656,
0.012449381873011589,
-0.0695510283112526,
-0.04814240708947182,
0.01756766065955162,
-0.039974749088287354,
-0.021318666636943817,
0.010452443733811378,
0.000657775322906673,
-0.014293401502072811,
-0.0018046656623482704,
0.02050909772515297,
0.012917133048176765,
-0.029342401772737503,
0.01835024543106556,
0.03979484364390373,
0.011639812029898167,
-0.013384884223341942,
0.009786796756088734,
0.03236479312181473,
0.02475483901798725,
0.00828009843826294,
-0.012737228535115719,
0.014392348937690258,
0.002806507982313633,
-0.029252449050545692,
0.020221250131726265,
0.018871966749429703,
0.011936654336750507,
-0.0030133980326354504,
-0.033426228910684586,
0.004252489190548658,
-0.003020144533365965,
0.039578959345817566,
-0.0285688117146492,
-0.004623542074114084,
-0.043968625366687775,
-0.0350993387401104,
-0.026607854291796684,
-0.09916328638792038,
-0.039830826222896576,
0.026176083832979202,
-0.018458187580108643,
0.02500670589506626,
0.038499534130096436,
-0.01568765938282013,
-0.016110435128211975,
-0.08297189325094223,
-0.028352927416563034,
-0.03229283168911934,
-0.031249387189745903,
0.016137421131134033,
0.012917133048176765,
0.0050283269956707954,
-0.02200230397284031,
-0.002489426638931036,
-0.048862025141716,
0.031843069940805435,
0.04850221425294876,
-0.0018417708342894912,
0.009552921168506145,
0.015714645385742188,
-0.020958857610821724,
-0.012395410798490047,
-0.023603452369570732,
-0.01570565067231655,
0.04810642451047897,
0.0010046534007415175,
0.01250335294753313,
-0.03677245229482651,
0.005833399016410112,
0.06260671466588974,
-0.00144260807428509,
0.03846355155110359,
-0.012422395870089531,
-0.03538718819618225,
0.020581059157848358,
0.03518929332494736,
-0.04411254823207855,
-0.04198967665433884,
0.01715388149023056,
-0.07714299112558365,
0.022308140993118286,
-0.02864077314734459,
0.001071555307134986,
0.03547713905572891,
-0.0007387322839349508,
-0.04170183092355728,
0.00018763462139759213,
0.04109015688300133,
-0.02257799729704857,
-0.021696465089917183,
0.002802010392770171,
-0.036592546850442886,
-0.008352059870958328,
-0.03452364727854729,
0.027867184951901436,
-0.049365755170583725,
0.00655751395970583,
0.005941341631114483,
0.009705840609967709,
0.027255510911345482,
-0.0024197136517614126,
0.008203638717532158,
-0.035836949944496155,
0.012107563205063343,
0.007448040414601564,
0.016659144312143326,
-0.07217762619256973,
-0.016092445701360703,
-0.04332096874713898,
0.01699196733534336,
0.026841729879379272,
0.0012761965626850724,
-0.0029729194939136505,
-0.04062240570783615,
-0.019915413111448288,
0.024538954719901085,
0.00540162855759263,
-0.04299714043736458,
0.009786796756088734,
0.02432306855916977,
-0.0037712452467530966,
-0.024107184261083603,
0.03355216234922409,
0.0212646946310997,
0.050697047263383865,
0.011244022287428379,
0.006472059525549412,
-0.02781321480870247,
0.01204459648579359,
-0.00031455152202397585,
0.0135737843811512,
-0.04727886617183685,
0.015561726875603199,
0.00996670126914978,
-0.018458187580108643,
-0.019789479672908783,
0.0034564125817269087,
0.04468824341893196,
-0.005140766967087984,
-0.027039624750614166,
0.03853551298379898,
-0.029936086386442184,
-0.007726892363280058,
0.022308140993118286,
-0.036574557423591614,
0.011846702545881271,
0.03860747441649437,
0.027003644034266472,
-0.0564899705350399,
-0.045048050582408905,
0.006175217218697071,
-0.015309860929846764,
0.03502737730741501,
-0.03918316960334778,
0.005882872734218836,
-0.006764404010027647,
-0.07627944648265839,
-0.03875139728188515,
0.022452063858509064,
0.043392930179834366,
-0.026445940136909485,
-0.02250603586435318,
-0.03340823948383331,
-0.00984076876193285,
0.029828142374753952,
-0.03396594151854515,
-0.01058737188577652,
-0.027939146384596825,
-0.034595608711242676,
0.05562642961740494,
-0.0625707358121872,
0.006013303063809872,
-0.01950163207948208,
0.040082693099975586,
-0.04162986949086189,
0.0007808973896317184,
-0.0008236246649175882,
0.0501573346555233,
-0.0330304391682148,
0.003175311954692006,
0.054187193512916565,
-0.03088957816362381,
0.0006487800856120884,
-0.006251676473766565,
0.021876370534300804,
-0.03105149231851101,
-0.029918095096945763,
-0.0018462685402482748,
-0.010164596140384674,
0.05321570858359337,
0.05954834446310997,
-0.000018271535736857913,
-0.01087521854788065,
-0.021120771765708923,
0.01876402460038662,
0.02167847566306591,
-0.049041926860809326,
0.07242949306964874,
-0.035261254757642746,
0.018638091161847115,
0.02540249563753605,
0.025690343230962753,
0.03290450572967529,
0.018062397837638855,
-0.009624883532524109,
-0.03918316960334778,
-0.019375698640942574,
-0.03229283168911934,
0.03340823948383331,
-0.0005574224051088095,
-0.007650433108210564,
0.04756671190261841,
-0.059080593287944794,
0.0882250964641571,
0.015174932777881622,
0.04260135069489479,
-0.04227752611041069,
-0.002471436047926545,
-0.011235027574002743,
0.016380291432142258,
0.019123833626508713,
-0.0073490929789841175,
-0.01830526813864708,
-0.03520728275179863,
0.015750626102089882,
0.03520728275179863,
0.027111586183309555,
0.011100099422037601,
-0.02383732795715332,
0.01665014773607254,
0.02882067859172821,
-0.009489955380558968,
0.02707560546696186,
0.06185111775994301,
0.02448498271405697,
0.03679044172167778,
0.015300866216421127,
-0.059764228761196136,
-0.021966323256492615,
-0.06203102320432663,
0.03767197206616402,
0.03414584696292877,
-0.0011873687617480755,
0.007038758136332035,
-0.014140482991933823,
-0.03695235401391983,
0.057173606008291245,
-0.04109015688300133,
-0.0463433638215065,
-0.02599618025124073,
-0.049941450357437134,
-0.0066564613953232765,
0.013906607404351234,
0.02342354692518711,
0.019915413111448288,
-0.015237899497151375,
0.09434184432029724,
0.03614278510212898,
-0.0012896893313154578,
-0.015300866216421127,
0.0044976091012358665,
0.007929285056889057,
-0.0323827862739563,
-0.02167847566306591,
0.03421780839562416,
0.007457035593688488,
0.006220193114131689,
-0.0637940838932991,
0.006899332161992788,
-0.04526393860578537,
-0.04170183092355728,
-0.03553111106157303,
-0.003654307220131159,
0.010065648704767227,
-0.02076096273958683,
-0.021480580791831017,
-0.006633973214775324,
-0.0077808634378015995,
-0.01960957609117031,
0.014419334009289742,
0.016731105744838715,
0.03427178040146828,
0.05936843901872635,
0.01598450168967247,
-0.001366148702800274,
-0.02340555749833584,
0.0196815375238657,
-0.05026527866721153,
0.017207851633429527,
0.01020957250148058,
0.030331874266266823,
-0.0425293892621994,
-0.007299619261175394,
-0.03621474653482437,
-0.009444979019463062,
0.008729859255254269,
-0.03428976982831955,
-0.014203448779881,
0.022739911451935768,
0.013285936787724495,
-0.026212064549326897,
-0.05073302984237671,
-0.011612826026976109,
0.04648728668689728,
-0.004221005830913782,
-0.04324900731444359,
0.08261208236217499,
0.003269761800765991,
0.036088813096284866,
-0.028101060539484024,
0.005505073349922895,
0.029252449050545692,
-0.01250335294753313,
0.018413212150335312,
-0.017711583524942398,
-0.0008393662865273654,
-0.003391197184100747,
-0.0015168186509981751,
0.022200198844075203,
-0.01740574650466442,
0.01095617562532425,
0.03346221148967743,
-0.018080387264490128,
0.032526709139347076,
0.03410986810922623,
-0.0431770458817482,
0.046703170984983444,
0.014779143035411835,
-0.04861015826463699,
0.045227956026792526,
-0.03423579782247543,
0.023045748472213745,
0.017234837636351585,
0.008522968739271164,
-0.022901825606822968,
0.023279624059796333,
-0.03900326415896416,
0.06714030355215073,
-0.021120771765708923,
0.012323448434472084,
0.005415121093392372,
-0.010767275467514992,
-0.04483216628432274,
0.004259235691279173,
-0.014428329654037952,
-0.06059178709983826,
0.033750057220458984,
-0.012530338950455189,
0.017162876203656197,
-0.028550822287797928,
0.02408919297158718,
0.019033880904316902,
0.024269098415970802,
0.009166127070784569,
-0.00954392645508051,
-0.029774172231554985,
0.039830826222896576,
0.03279656544327736,
0.047710634768009186,
-0.011855697259306908,
0.020976848900318146,
0.01183770690113306,
-0.014140482991933823,
0.0685795396566391,
0.021948331966996193,
-0.003726269118487835,
-0.021048810333013535,
0.03745608776807785,
0.04321302846074104,
-0.012989094480872154,
-0.023693405091762543,
-0.01894392818212509,
-0.027777232229709625,
-0.02002335526049137,
0.011585840955376625,
0.038319628685712814,
-0.013474836945533752,
-0.002314019715413451,
0.031501252204179764,
-0.0019395939307287335,
0.007286126725375652,
0.011019142344594002,
0.03157321363687515,
0.021444600075483322,
0.039902787655591965,
-0.012377419508993626,
-0.016506224870681763,
-0.04616345837712288,
0.02068900130689144,
0.008284595794975758,
-0.04134202003479004,
0.003015646943822503,
0.02041914500296116,
0.01853014901280403,
-0.018800005316734314,
-0.047962501645088196,
-0.007641437463462353,
0.028298955410718918,
-0.030115989968180656,
-0.0015179429901763797,
-0.0005146951298229396,
0.004807943943887949,
-0.003724020207300782,
-0.05181245505809784,
0.013510817661881447,
-0.03166316822171211,
-0.05454700067639351,
-0.00749301677569747,
-0.014050530269742012,
0.009534930810332298,
-0.0062111979350447655,
0.0011294620344415307,
-0.023981250822544098,
0.0014740913175046444,
0.019393689930438995,
-0.031195415183901787,
0.0038499534130096436,
0.019879432395100594,
0.010092634707689285,
0.05720958486199379,
-0.02333359606564045,
0.029594266787171364,
0.04519197344779968,
-0.016434263437986374,
0.010596366599202156,
0.03885934129357338,
0.03867943584918976,
-0.0038297141436487436,
0.015714645385742188,
0.045875612646341324,
0.03614278510212898,
0.02907254360616207,
-0.023729385808110237,
0.02957627736032009,
0.02500670589506626,
0.043968625366687775,
-0.013852635398507118,
0.033426228910684586,
-0.03373206779360771,
-0.004479618743062019,
0.018566129729151726,
0.02408919297158718,
0.007897801697254181,
0.02308172918856144,
0.008468997664749622,
0.0463433638215065,
0.036322690546512604,
-0.04177379235625267,
0.0072456481866538525,
-0.01183770690113306,
-0.011693783104419708,
-0.013942588120698929,
-0.0010546892881393433,
-0.001823780476115644,
0.01137895043939352,
0.024215126410126686,
-0.0036610537208616734,
0.018215317279100418,
-0.008900768123567104,
-0.011765745468437672,
0.03792383894324303,
0.020958857610821724,
-0.00018763462139759213,
-0.0008039476233534515,
-0.024431012570858,
0.045299917459487915,
0.012350434437394142,
-0.004131054040044546,
-0.005572537425905466,
-0.07793457061052322,
-0.0466671921312809,
-0.00893225148320198,
-0.013177994638681412,
0.029756180942058563,
-0.04519197344779968,
-0.02707560546696186,
0.024520963430404663,
0.0196815375238657,
0.03688039258122444,
0.033084411174058914,
-0.04677513241767883,
-0.018997900187969208,
0.02094086818397045,
0.020401153713464737,
0.01639828272163868,
0.02491675317287445,
0.03236479312181473,
0.04198967665433884,
-0.09542126953601837,
0.030331874266266823,
-0.0008135050302371383,
-0.013375889509916306,
-0.040982212871313095,
-0.002527656266465783,
0.05677781626582146,
-0.021408619359135628,
0.021408619359135628,
-0.0077943564392626286,
0.018907947465777397,
0.010857228189706802,
-0.004767465405166149,
0.010389477014541626,
-0.015993498265743256,
0.017945459112524986,
-0.010947179980576038,
0.0076774186454713345,
0.0036812929902225733,
0.009534930810332298,
-0.02275790087878704,
0.028011109679937363,
-0.012818185612559319,
-0.028406897559762,
0.007497514132410288,
-0.0013953831512480974,
-0.029180487617850304,
0.02822699397802353,
-0.016002492979168892,
0.013906607404351234,
0.02542048692703247,
0.0004222130519337952,
-0.020383164286613464,
0.01182871125638485,
-0.0211027804762125,
-0.004686508793383837,
-0.03063771314918995,
0.00029684219043701887,
0.016011487692594528,
0.0264999121427536,
-0.0064855520613491535,
-0.0029504315461963415,
-0.006004307884722948,
-0.006260671652853489,
0.041809774935245514,
-0.004544833675026894,
0.012620290741324425,
-0.011208041571080685,
-0.06285858154296875,
-0.01109110377728939,
-0.0021757183130830526,
-0.03580096736550331,
0.0312853679060936,
0.0035396183375269175,
-0.048034463077783585,
0.01407751627266407,
0.0456957072019577,
0.008518471382558346,
0.05472690612077713,
-0.0065844994969666,
0.003564355196431279,
-0.02473684959113598,
0.007335600443184376,
-0.000049298010708298534,
0.04753073304891586,
0.03524326533079147,
0.019375698640942574,
-0.02615809440612793,
-0.022703930735588074,
-0.0005017645307816565,
-0.029180487617850304,
0.003508134977892041,
0.001468469388782978,
-0.0014066272415220737,
0.04767465591430664,
-0.01800842583179474,
0.005631006322801113,
0.05598623678088188,
-0.0027592831756919622,
0.07548786699771881,
0.056669872254133224,
-0.03896728530526161,
0.006157226860523224,
0.01589455083012581,
0.04652326926589012,
-0.006768901366740465,
-0.04328498989343643,
0.017630627378821373,
0.015885554254055023,
-0.03527924418449402,
-0.01540880836546421,
0.01474316231906414,
-0.05515867844223976,
0.021372638642787933,
-0.03860747441649437,
-0.012917133048176765,
-0.06267867982387543,
-0.010839237831532955,
0.031753119081258774,
-0.0344516858458519,
0.011711773462593555,
-0.01391560211777687,
0.012719238176941872,
0.0012537084985524416,
-0.0021622255444526672,
0.04270929470658302,
-0.023477518931031227,
0.022560006007552147,
0.02623005583882332,
0.04044250026345253,
-0.024053212255239487,
0.052352167665958405,
-0.01639828272163868,
-0.027543356642127037,
0.01718086563050747,
-0.012530338950455189,
0.015453784726560116,
0.012179525569081306,
0.03493742644786835,
-0.022380102425813675,
0.03403790667653084,
0.021318666636943817,
0.001856388058513403,
-0.03328230604529381,
-0.020653020590543747,
0.01697397604584694,
0.0012593305436894298,
0.008275600150227547,
-0.014635219238698483,
-0.03031388483941555,
-0.04332096874713898,
0.06051982566714287,
0.007920289412140846,
0.014401343651115894,
0.004807943943887949,
0.07314911484718323,
-0.029540296643972397,
-0.008819811046123505,
-0.0015741630923002958,
0.04177379235625267,
-0.05030125752091408,
0.029828142374753952,
0.02542048692703247,
-0.03979484364390373,
-0.005217226222157478,
0.010407467372715473,
-0.013924597762525082,
-0.002516412176191807,
0.02500670589506626,
0.013160004280507565,
0.029936086386442184,
0.0037510059773921967,
-0.0009748567244969308,
0.010524405166506767,
0.06976690888404846,
0.001434737234376371,
-0.023279624059796333,
-0.00024273034068755805,
0.03322833403944969,
-0.011657802388072014,
0.04303312301635742,
0.05256805568933487,
0.0628226026892662,
-0.003863446181640029,
0.001977823441848159,
-0.04209762066602707,
-0.0006060528103262186,
0.0015764120034873486,
-0.016038473695516586,
0.0055635422468185425,
-0.01602947898209095,
0.010029667988419533,
-0.05008537322282791,
0.030997520312666893,
0.03853551298379898,
0.01041646208614111,
0.01378966961055994,
-0.03580096736550331,
-0.05944040045142174,
0.017585651949048042,
-0.010965170338749886,
-0.04648728668689728,
-0.047710634768009186,
0.003020144533365965,
0.01639828272163868,
-0.028262974694371223,
0.04321302846074104,
0.001140143838711083,
-0.00587837491184473,
-0.04673915356397629,
-0.017396751791238785,
-0.025960199534893036,
-0.006413590628653765,
-0.004272728692740202,
-0.03247273713350296,
-0.027921156957745552,
0.0026131109334528446,
0.02342354692518711,
-0.0071017243899405,
0.05407924950122833,
0.015165937133133411,
0.035908911377191544,
-0.003415934043005109,
0.014725171960890293,
-0.00517225032672286,
-0.024017231538891792,
0.055518485605716705,
0.04418450966477394,
0.0355491004884243,
0.015237899497151375,
0.0006038040155544877,
-0.036754459142684937,
-0.04727886617183685,
0.0334802009165287,
0.01653321087360382,
-0.018341248854994774,
-0.022056274116039276,
-0.015813592821359634,
0.001450478914193809,
0.0053611500188708305,
-0.05123675987124443,
0.027183549478650093,
-0.011873687617480755,
-0.017783546820282936,
-0.004056843463331461,
0.008869284763932228,
0.000932129449211061,
-0.01265627145767212,
0.015615698881447315,
-0.013366893865168095,
0.015372827649116516,
0.020814934745430946,
0.02367541380226612,
0.05530260130763054,
-0.015507755801081657,
-0.025798285380005836,
0.005640001501888037,
0.012710243463516235,
-0.01287215668708086,
-0.01095617562532425,
0.004493111278861761,
-0.02234412170946598,
0.014275411143898964,
-0.045479822903871536,
-0.03189704194664955,
0.0011615075636655092,
-0.03288651630282402,
0.026266036555171013,
-0.007875313051044941,
0.04450833797454834,
0.01593952625989914
] |
This position paper explores the broad landscape of AI potentiality in the
context of cybersecurity, with a particular emphasis on its possible risk
factors with awareness, which can be managed by incorporating human experts in
the loop, i.e., "Human-AI" teaming. As artificial intelligence (AI)
technologies advance, they will provide unparalleled opportunities for attack
identification, incident response, and recovery. However, the successful
deployment of AI into cybersecurity measures necessitates an in-depth
understanding of its capabilities, challenges, and ethical and legal
implications to handle associated risk factors in real-world application areas.
Towards this, we emphasize the importance of a balanced approach that
incorporates AI's computational power with human expertise. AI systems may
proactively discover vulnerabilities and detect anomalies through pattern
recognition, and predictive modeling, significantly enhancing speed and
accuracy. Human experts can explain AI-generated decisions to stakeholders,
regulators, and end-users in critical situations, ensuring responsibility and
accountability, which helps establish trust in AI-driven security solutions.
Therefore, in this position paper, we argue that human-AI teaming is worthwhile
in cybersecurity, in which human expertise such as intuition, critical
thinking, or contextual understanding is combined with AI's computational power
to improve overall cyber defenses. | [
-0.027447093278169632,
-0.04312169924378395,
-0.032374341040849686,
-0.036144185811281204,
0.08941800147294998,
0.03915344551205635,
-0.038921963423490524,
-0.000058451663790037856,
0.003804977284744382,
0.022007277235388756,
0.023925267159938812,
-0.00974702462553978,
0.05178572237491608,
0.016286376863718033,
-0.05595238879323006,
0.004852844402194023,
0.01346726343035698,
-0.03096891939640045,
-0.04242725297808647,
-0.04163360223174095,
0.01934524066746235,
0.023131616413593292,
-0.08280424028635025,
0.009780094027519226,
-0.019212964922189713,
0.004786706995218992,
-0.014393189921975136,
0.0010964369866997004,
-0.08756615221500397,
0.0812830775976181,
0.014384922571480274,
0.012690147385001183,
0.003685103030875325,
-0.07592593878507614,
-0.024272490292787552,
-0.014484128914773464,
-0.000495773449074477,
0.07486773282289505,
-0.0024450235068798065,
0.04642857611179352,
0.030621696263551712,
-0.03750000521540642,
0.012169313617050648,
-0.023925267159938812,
-0.0005709532997570932,
-0.009862765669822693,
-0.04699074849486351,
-0.06035053730010986,
0.02928241156041622,
0.02266865409910679,
0.027066802605986595,
-0.01354166865348816,
0.02276786044239998,
-0.024239420890808105,
-0.04361772909760475,
0.03389550745487213,
0.01934524066746235,
-0.05343915894627571,
0.06633599102497101,
0.017096562311053276,
-0.010796959511935711,
0.0386904813349247,
0.0011708417441695929,
-0.011731152422726154,
-0.0041191307827830315,
-0.048743393272161484,
0.023974871262907982,
-0.014120372012257576,
-0.005319941323250532,
-0.004484954290091991,
-0.07513228803873062,
-0.019328705966472626,
0.011772488243877888,
-0.03816138207912445,
0.01403770036995411,
-0.02619048021733761,
0.06286376714706421,
0.05757275968790054,
0.036640215665102005,
0.025330690667033195,
-0.023578045889735222,
0.030291009694337845,
-0.01989087648689747,
0.03300264850258827,
0.02147817797958851,
0.013921959325671196,
0.002145337639376521,
-0.07599207013845444,
0.016798943281173706,
0.0036665017250925303,
-0.04847884178161621,
0.05988757312297821,
0.013707011938095093,
-0.0386904813349247,
0.014583335258066654,
-0.008453208953142166,
-0.01589781977236271,
-0.008920305408537388,
0.02261904999613762,
-0.02857143245637417,
-0.004989253357052803,
0.00882936641573906,
0.028736775740981102,
0.015310848131775856,
-0.03240741044282913,
-0.042691804468631744,
-0.01513723749667406,
0.0036499674897640944,
-0.0255456380546093,
0.12453705072402954,
-0.03607804700732231,
0.00895337387919426,
-0.06997355073690414,
-0.00018652863218449056,
-0.039021167904138565,
0.013285385444760323,
-0.04302249103784561,
-0.04603175073862076,
-0.021593919023871422,
-0.001821883488446474,
-0.04510582610964775,
0.022817462682724,
0.04077381640672684,
-0.016451722010970116,
-0.024222886189818382,
0.0723545029759407,
-0.01577381230890751,
-0.035350535064935684,
0.010449736379086971,
0.008771495893597603,
-0.027562834322452545,
0.08604498207569122,
0.014707342721521854,
0.02271825633943081,
0.002378885867074132,
0.015319115482270718,
0.042691804468631744,
0.004542824812233448,
0.01465773954987526,
0.023429235443472862,
0.001474661286920309,
-0.004786706995218992,
-0.03419312462210655,
0.007051919121295214,
0.014699076302349567,
0.010896165855228901,
0.009002977050840855,
0.030026458203792572,
-0.09828043729066849,
0.016402117908000946,
-0.03106812573969364,
0.035747360438108444,
-0.01543485652655363,
-0.02906746417284012,
0.07202381640672684,
-0.07996033132076263,
0.03690476715564728,
0.04232804849743843,
-0.02886905148625374,
0.02633928880095482,
0.0396825447678566,
-0.041402120143175125,
-0.024735452607274055,
0.05148810148239136,
0.03541667014360428,
-0.0025979666970670223,
0.037731487303972244,
0.005534888245165348,
-0.047751329839229584,
0.06286376714706421,
0.008192791603505611,
-0.06207011267542839,
-0.025826722383499146,
0.01664186641573906,
0.009672620333731174,
0.03181217238306999,
0.0010737022385001183,
-0.019411377608776093,
-0.003784309374168515,
0.0178571455180645,
-0.03915344551205635,
-0.05496032536029816,
-0.03984788805246353,
-0.023925267159938812,
0.029596565291285515,
0.036739423871040344,
0.051223549991846085,
0.023693786934018135,
0.04255953058600426,
-0.010904432274401188,
0.009862765669822693,
-0.0565476268529892,
0.032572753727436066,
-0.048842597752809525,
-0.007506614550948143,
-0.048247359693050385,
0.01726190745830536,
-0.015145504847168922,
0.02336309850215912,
-0.018816139549016953,
0.010672951117157936,
-0.02729828469455242,
-0.01731150969862938,
-0.02207341603934765,
-0.00037331561907194555,
0.010466271080076694,
0.034060850739479065,
-0.009796627797186375,
-0.005034722853451967,
0.0015718007925897837,
-0.015782078728079796,
0.01522817648947239,
-0.002533895894885063,
-0.0003888166102115065,
-0.041402120143175125,
-0.01741071604192257,
0.00895337387919426,
0.04708995297551155,
-0.02966270223259926,
0.015732476487755775,
0.012764551676809788,
0.02658730559051037,
0.0016379383159801364,
-0.04580026865005493,
0.01959325559437275,
0.0018807873129844666,
-0.04371693730354309,
0.004038525745272636,
-0.05056217685341835,
-0.03680555894970894,
-0.01659226417541504,
0.031332675367593765,
0.030224870890378952,
0.03541667014360428,
0.060945775359869,
-0.06964286416769028,
0.03095238469541073,
-0.0446428619325161,
-0.04222884029150009,
0.012863758020102978,
-0.020899472758173943,
-0.06554233282804489,
0.0054770177230238914,
-0.03007606230676174,
0.05383598431944847,
-0.04708995297551155,
-0.0416666716337204,
0.06951059401035309,
-0.02028770186007023,
0.039517201483249664,
0.006576554849743843,
0.04798281192779541,
0.04957011342048645,
-0.023644182831048965,
0.008837633766233921,
-0.002659970661625266,
0.02648809924721718,
-0.03105159103870392,
-0.011218586005270481,
0.022982807829976082,
0.046759266406297684,
-0.0007879671757109463,
0.03215939551591873,
0.03359788656234741,
-0.024917330592870712,
-0.0022838131990283728,
0.06137567013502121,
0.05248016491532326,
0.017824076116085052,
-0.0027054401580244303,
-0.02013889141380787,
0.005977183114737272,
-0.029100533574819565,
-0.00398065522313118,
0.0198412723839283,
-0.004389881622046232,
0.03300264850258827,
0.04768519103527069,
0.010648149065673351,
0.03978175297379494,
0.03690476715564728,
-0.050033073872327805,
0.10171958804130554,
-0.023578045889735222,
-0.038425929844379425,
-0.08339948207139969,
-0.04589947685599327,
0.026967596262693405,
-0.04451058804988861,
-0.008341602049767971,
0.00706845335662365,
0.014351854100823402,
-0.01445932686328888,
-0.018518520519137383,
0.02539682947099209,
0.018320107832551003,
0.018617726862430573,
0.006014385726302862,
-0.05115741491317749,
-0.018369711935520172,
0.002261078217998147,
-0.02898479253053665,
-0.0065393527038395405,
0.04454365745186806,
-0.026917992159724236,
0.038227517157793045,
-0.027645505964756012,
0.07215609401464462,
0.0077794319950044155,
-0.005233135540038347,
0.0022590116132050753,
0.015178573317825794,
-0.030787041410803795,
0.03239087760448456,
0.0137483486905694,
0.06078043207526207,
-0.0070353844203054905,
-0.00318700447678566,
0.003842179663479328,
0.012053572572767735,
0.0022693455684930086,
-0.015046298503875732,
-0.09014551341533661,
0.05433201789855957,
-0.05833334103226662,
-0.02709987200796604,
0.0017392114968970418,
0.0205853208899498,
-0.00812252052128315,
-0.01701389066874981,
-0.04242725297808647,
-0.007163526024669409,
-0.03938492387533188,
0.03308532014489174,
0.02931547909975052,
-0.02997685596346855,
-0.0016059030313044786,
0.02956349588930607,
0.02222222462296486,
-0.01384755503386259,
-0.03449074551463127,
-0.014368387870490551,
-0.033564820885658264,
-0.013227514922618866,
-0.02495039999485016,
-0.021015213802456856,
-0.019031086936593056,
0.00338541716337204,
-0.04583333805203438,
0.023644182831048965,
0.0009476274135522544,
-0.0034825566690415144,
-0.02683532051742077,
-0.015393520705401897,
-0.007006449159234762,
-0.0064401463605463505,
0.007163526024669409,
-0.006667494308203459,
0.010482805781066418,
-0.023627648130059242,
0.03449074551463127,
-0.04480820521712303,
-0.03680555894970894,
0.01679067686200142,
-0.046064820140600204,
-0.02361111342906952,
-0.04153439775109291,
-0.0037574409507215023,
-0.006783234886825085,
0.024818124249577522,
-0.021693125367164612,
0.07261905819177628,
0.02638889290392399,
-0.002870784141123295,
-0.04014550894498825,
0.010028109885752201,
0.0362103208899498,
-0.023528441786766052,
-0.004187335260212421,
0.043485455214977264,
-0.0007347470964305103,
-0.011871694587171078,
0.016501324251294136,
-0.015790345147252083,
-0.008453208953142166,
0.0659722313284874,
0.06309524923563004,
0.03067130036652088,
0.043584663420915604,
0.0852513313293457,
-0.028505295515060425,
-0.0028728509787470102,
-0.039517201483249664,
-0.06362434476613998,
0.04788360372185707,
-0.037533074617385864,
0.010226522572338581,
-0.020122356712818146,
0.05482804775238037,
-0.027711642906069756,
0.021643521264195442,
0.0238095261156559,
0.002825314411893487,
-0.002858383348211646,
-0.00799851305782795,
-0.02867063879966736,
0.0007554151234216988,
-0.016708005219697952,
-0.007374339736998081,
-0.017427250742912292,
0.04302249103784561,
0.027959659695625305,
-0.01989087648689747,
-0.03865741193294525,
0.03511905297636986,
0.03799603506922722,
0.044775139540433884,
0.02222222462296486,
0.0664021223783493,
-0.03538360074162483,
0.008172123692929745,
-0.006068122573196888,
0.05380291864275932,
-0.041997358202934265,
0.028802914544939995,
0.0018890544306486845,
-0.010565477423369884,
0.006295470520853996,
0.0010158318327739835,
-0.030522489920258522,
0.035449739545583725,
-0.04877646267414093,
-0.0038132446352392435,
-0.030340611934661865,
-0.02202381193637848,
-0.027149474248290062,
-0.023148151114583015,
0.041005294770002365,
0.0024677582550793886,
0.03875662013888359,
-0.03730159252882004,
0.021246695891022682,
-0.038326725363731384,
-0.039914026856422424,
-0.03829365596175194,
-0.024933865293860435,
0.02028770186007023,
-0.030985454097390175,
-0.01091269962489605,
-0.042989425361156464,
-0.05297619849443436,
-0.0004417783347889781,
-0.0659722313284874,
-0.012367726303637028,
0.03826058655977249,
0.0063905431888997555,
-0.012756284326314926,
-0.043187838047742844,
0.01346726343035698,
-0.027860453352332115,
-0.017873680219054222,
0.10052911192178726,
-0.0025318290572613478,
-0.04494048282504082,
-0.005423281341791153,
0.015782078728079796,
-0.047552917152643204,
-0.05929233506321907,
0.031878311187028885,
0.025429897010326385,
0.0012752150651067495,
-0.0064897495321929455,
0.033862438052892685,
0.005034722853451967,
-0.0005895544891245663,
-0.048842597752809525,
0.04226190969347954,
0.009598215110599995,
-0.012987766414880753,
0.027314817532896996,
0.015988757833838463,
0.051124345511198044,
-0.021064817905426025,
-0.027017198503017426,
-0.011524472385644913,
0.03826058655977249,
0.007733962498605251,
-0.030935849994421005,
-0.01669147051870823,
-0.039120376110076904,
0.005233135540038347,
-0.02921627275645733,
0.02594246342778206,
-0.03809524327516556,
-0.01731150969862938,
0.006593089550733566,
-0.0122767873108387,
-0.000884073378983885,
0.10873017460107803,
0.021990744397044182,
-0.03253968805074692,
-0.016798943281173706,
-0.019675929099321365,
0.03627645969390869,
-0.01870039850473404,
0.009011244401335716,
0.028406089171767235,
-0.0029369217809289694,
0.006919643841683865,
0.030588628724217415,
-0.016112767159938812,
0.0064897495321929455,
0.02023809775710106,
0.011433533392846584,
0.0431547686457634,
0.013814485631883144,
0.02495039999485016,
-0.010267858393490314,
0.008085318841040134,
0.0190972238779068,
0.008986443281173706,
-0.006531085353344679,
0.005592758767306805,
0.01666666939854622,
-0.024041008204221725,
0.010309194214642048,
0.014566800557076931,
-0.002492559840902686,
-0.06620371341705322,
-0.021164024248719215,
-0.02371031977236271,
0.007262732367962599,
-0.052215613424777985,
-0.021593919023871422,
-0.02147817797958851,
0.010152117349207401,
0.04282407835125923,
0.004600694868713617,
-0.02604166977107525,
-0.007911707274615765,
-0.07480159401893616,
0.05644841864705086,
0.04887566715478897,
0.022602515295147896,
-0.01257440634071827,
0.013409392908215523,
0.07519841939210892,
-0.01356646977365017,
-0.0007290634093806148,
-0.01919643022119999,
0.015162038616836071,
-0.011144181713461876,
-0.005018188618123531,
-0.03067130036652088,
-0.006956845987588167,
-0.01594742201268673,
0.019659394398331642,
-0.04153439775109291,
0.03501984477043152,
-0.037334661930799484,
-0.019874341785907745,
-0.0023086147848516703,
0.0013992231106385589,
-0.005501819308847189,
-0.0071841939352452755,
-0.001505663269199431,
0.038425929844379425,
0.07030424475669861,
0.04580026865005493,
0.023826060816645622,
-0.02509921044111252,
-0.04940477013587952,
-0.025363760069012642,
0.003327546641230583,
-0.029745373874902725,
0.016410386189818382,
0.011557540856301785,
-0.04232804849743843,
-0.02490079775452614,
-0.007857970893383026,
-0.01324404962360859,
-0.00974702462553978,
0.016187170520424843,
0.04480820521712303,
0.029249342158436775,
-0.009160053916275501,
-0.020453045144677162,
-0.025314155966043472,
-0.02698413096368313,
-0.0426587350666523,
-0.0023830195423215628,
-0.007051919121295214,
-0.005960648879408836,
-0.015401788055896759,
0.03017526865005493,
-0.009937170892953873,
0.03617725148797035,
0.014723877422511578,
-0.005034722853451967,
-0.05287699028849602,
0.019675929099321365,
0.017096562311053276,
0.08148149400949478,
0.041302915662527084,
-0.0367063544690609,
0.02053571678698063,
-0.02152778021991253,
0.01197916828095913,
-0.012161046266555786,
0.01760912872850895,
0.0292658768594265,
-0.02680225297808647,
0.02390873245894909,
-0.06256614625453949,
0.055687837302684784,
-0.0461309589445591,
-0.0055472892709076405,
-0.0198412723839283,
-0.029629632830619812,
0.02767857536673546,
-0.007754630409181118,
-0.0050801923498511314,
0.012342925183475018,
0.009201389737427235,
0.0265046339482069,
0.016104498878121376,
-0.00603918731212616,
0.013334988616406918,
0.02759590372443199,
-0.00677083432674408,
-0.03310185670852661,
-0.014988427981734276,
-0.03214286267757416,
-0.01780754141509533,
-0.0071841939352452755,
-0.010267858393490314,
0.010375332087278366,
0.03855820745229721,
-0.009829697199165821,
-0.008436674252152443,
0.008614419028162956,
-0.02668651193380356,
0.02291666902601719,
0.06560847163200378,
-0.013822752982378006,
0.04966931790113449,
-0.015162038616836071,
-0.027447093278169632,
0.03358135372400284,
0.027248680591583252,
0.04947090521454811,
-0.016154102981090546,
-0.0014694941928610206,
0.022635584697127342,
0.008077051490545273,
-0.008345735259354115,
-0.01954365335404873,
0.02772817760705948,
0.021147489547729492,
0.006795635912567377,
0.04087302088737488,
0.012433864176273346,
0.002843915717676282,
0.011177250184118748,
-0.0037677749060094357,
-0.0012566138757392764,
0.02757936902344227,
-0.007994378916919231,
-0.021759262308478355,
0.04044312611222267,
-0.013888890855014324,
-0.039021167904138565,
-0.049041010439395905,
0.030406750738620758,
0.0028604501858353615,
-0.009515543468296528,
0.04451058804988861,
0.05304233357310295,
-0.012185848318040371,
-0.031531088054180145,
0.010441469959914684,
-0.0011708417441695929,
-0.05545635521411896,
-0.020552251487970352,
-0.016732806339859962,
-0.007204861845821142,
0.02351190708577633,
0.07665345072746277,
0.038425929844379425,
-0.023197755217552185,
-0.019064156338572502,
0.028158072382211685,
0.006125992629677057,
-0.03432540223002434,
0.0012163113569840789,
0.03492064028978348,
-0.0362103208899498,
-0.0158730186522007,
0.005365410819649696,
-0.001288649276830256,
-0.027215611189603806,
-0.025677913799881935,
-0.0007285466999746859,
0.0347222276031971,
-0.014765213243663311,
-0.001002397621050477,
0.025479501113295555,
0.0003727989096660167,
-0.014227845706045628,
-0.0294808242470026,
-0.004286541603505611,
0.043386250734329224,
0.009953704662621021,
0.03806217387318611,
0.06617064028978348,
0.0284887608140707,
0.04133598506450653,
0.027959659695625305,
0.008019180968403816,
0.026306219398975372,
0.04431217536330223,
-0.02405754290521145,
-0.007349538151174784,
-0.015071099624037743,
-0.030505957081913948,
0.04371693730354309,
-0.01364087499678135,
0.00677083432674408,
-0.05026455596089363,
-0.012466932646930218,
0.05515873804688454,
-0.014120372012257576,
-0.023330029100179672,
0.026322754099965096,
0.010796959511935711,
0.01424438040703535,
0.061805564910173416,
0.018320107832551003,
-0.007175927050411701,
-0.0077794319950044155,
0.0009941303869709373,
0.008862434886395931,
0.019758600741624832,
-0.034457676112651825,
0.01805555820465088,
-0.043683867901563644,
-0.03377976641058922,
-0.010978837497532368,
-0.007527282927185297,
-0.0013702878495678306,
0.02544643171131611,
-0.016674935817718506,
0.051620375365018845,
-0.04203042760491371,
-0.012830689549446106,
-0.014029433019459248,
-0.01443452574312687,
-0.022387569770216942,
0.021908070892095566,
0.01523644383996725,
-0.012061839923262596,
0.06957672536373138,
0.004112930502742529,
0.04520503059029579,
0.06507937610149384,
-0.03409392014145851,
0.01374008134007454,
-0.0038897159975022078,
0.030224870890378952,
0.016683204099535942,
0.020601853728294373,
0.020006615668535233,
0.022106483578681946,
-0.030820108950138092,
-0.03637566789984703,
-0.04143518954515457,
0.016881616786122322,
-0.011152448132634163,
-0.01716270111501217,
0.003205605549737811,
-0.0055100866593420506,
0.011557540856301785,
-0.06911376863718033,
0.039616405963897705,
-0.016410386189818382,
-0.016013560816645622,
-0.014914022758603096,
-0.0205853208899498,
0.019775135442614555,
0.04801587760448456,
0.013731813989579678,
0.03318452835083008,
0.04047619551420212,
0.010954035446047783,
0.016823746263980865,
-0.005390212405472994,
-0.009912368841469288,
0.000949177541770041,
0.024619711562991142,
-0.039219580590724945,
0.04722222685813904,
-0.02872024103999138,
0.0020843669772148132,
-0.004156333394348621,
-0.016997355967760086,
0.004629630129784346,
-0.0376984179019928,
-0.019560188055038452,
0.03786376118659973,
0.019675929099321365,
-0.008978175930678844,
-0.0013444528449326754,
-0.006398810539394617,
0.04702381417155266,
0.01974206604063511,
-0.011665014550089836,
-0.050826724618673325,
0.02559524215757847,
-0.011268189176917076,
-0.049140218645334244,
0.0030443952418863773,
-0.05496032536029816,
-0.0073826066218316555,
-0.02564484439790249,
-0.02977844327688217,
0.004803241230547428,
0.016550928354263306,
0.010333996266126633,
0.02296627312898636,
-0.012590941041707993,
-0.012822422198951244,
0.015980491414666176,
0.008006780408322811,
0.031183866783976555,
-0.047123022377491,
0.020717594772577286,
-0.012632276862859726,
-0.018634261563420296,
-0.015980491414666176,
0.007944775745272636,
-0.03230820596218109,
0.009573413990437984,
-0.02291666902601719,
0.005253803450614214,
0.019957013428211212,
-0.03017526865005493,
-0.04589947685599327,
0.018187833949923515,
0.019609790295362473,
-0.017873680219054222,
0.008564815856516361,
-0.04246032238006592,
-0.007535549812018871,
0.007866238243877888,
-0.002938988385722041,
0.023792993277311325,
-0.00776289775967598,
-0.0162450410425663,
0.034755297005176544,
-0.02341270074248314,
-0.02306547947227955,
0.017642198130488396,
-0.02867063879966736,
-0.015641536563634872,
0.017113097012043,
-0.03859127312898636,
0.02043651044368744,
-0.04841270297765732,
-0.0011160715948790312,
-0.043287042528390884,
-0.015319115482270718,
-0.0018621861236169934,
0.011003638617694378,
0.01790674775838852,
-0.01994047872722149,
0.008118387311697006,
0.04156746715307236,
0.015542330220341682,
-0.01731150969862938,
-0.02311508171260357,
-0.031481485813856125,
-0.015600200742483139,
0.014616403728723526,
0.019064156338572502,
0.019907409325242043,
-0.018535055220127106,
-0.011177250184118748,
-0.016774142161011696,
0.010110781528055668,
-0.014897488988935947,
-0.0575396902859211,
0.022453706711530685,
0.0235615111887455,
0.02738095633685589,
0.05869709700345993,
0.017642198130488396,
-0.01384755503386259,
0.02078373357653618,
0.00005984029485261999,
0.019378310069441795,
0.01870039850473404,
-0.03958334028720856,
-0.03268849477171898,
0.01604662835597992,
0.016005292534828186,
-0.022486776113510132,
-0.021362436935305595,
-0.031729500740766525,
0.0012762484839186072,
-0.006506283767521381,
-0.0033337471541017294,
-0.04381614178419113,
-0.04113757237792015,
-0.005778770428150892,
-0.008878969587385654,
0.005663029849529266,
0.005815973039716482,
0.009317130781710148,
-0.03707011044025421,
-0.009928903542459011,
0.024289024993777275,
0.028753310441970825,
-0.032126326113939285,
-0.017179235816001892,
-0.020023150369524956,
0.01959325559437275,
-0.033961646258831024,
-0.0013661542907357216,
0.01701389066874981,
-0.013723546639084816,
-0.03974868357181549,
0.017873680219054222,
0.020651457831263542,
0.01354166865348816,
0.03027447499334812,
-0.016129301860928535,
-0.014765213243663311,
0.04156746715307236,
-0.016137568280100822,
-0.04530423879623413,
-0.012781086377799511,
-0.00034102186327800155,
-0.0012059772852808237,
0.01324404962360859,
0.04335318133234978,
-0.07023810595273972,
0.056878313422203064,
0.02997685596346855,
-0.0022321431897580624,
0.06018519401550293,
-0.023445770144462585,
0.009763559326529503,
0.02435516193509102,
-0.040310852229595184,
-0.07380953431129456,
-0.02709987200796604,
-0.00687004067003727,
-0.05214947834610939,
-0.031630296260118484,
0.021064817905426025,
-0.021445108577609062,
0.01416170783340931,
-0.03587963432073593,
0.0009383268188685179,
-0.01582341454923153,
0.05542328581213951,
0.003290344262495637,
-0.03144841641187668,
-0.07063493132591248,
0.003197338432073593,
0.0054274145513772964,
-0.03875662013888359,
-0.03988095745444298,
-0.015707673504948616,
0.014467594213783741,
-0.035251326858997345,
-0.008110119961202145,
-0.030125664547085762,
0.02202381193637848,
0.0030319944489747286,
0.03225860372185707,
-0.00696924701333046,
-0.019626324996352196,
-0.04305556043982506,
-0.0021598052699118853,
-0.03412698954343796,
0.029431220144033432,
-0.010582012124359608,
-0.06851852685213089,
0.022205689921975136,
-0.027017198503017426,
0.014426258392632008,
-0.023346563801169395,
-0.01691468432545662,
-0.023429235443472862,
-0.004038525745272636,
0.009300596080720425,
0.010069445706903934,
-0.008283731527626514,
0.01845238357782364,
-0.0026165677700191736,
0.0026744382921606302,
-0.005237269215285778,
0.0421627052128315,
-0.02098214626312256,
0.03528439626097679,
0.04146825894713402,
-0.00017619463324081153,
-0.02152778021991253,
-0.000998264062218368,
-0.015443123877048492,
0.03591270372271538,
0.03105159103870392,
0.03640873357653618,
-0.003972387872636318,
0.043187838047742844,
-0.0094246044754982,
-0.02733135223388672,
-0.02366071753203869,
-0.058465614914894104,
0.014194777235388756,
0.05439815670251846,
-0.015467924997210503,
0.028339950367808342
] |
Randomized experimental comparisons of alternative pedagogical strategies
could provide useful empirical evidence in instructors' decision-making.
However, traditional experiments do not have a clear and simple pathway to
using data rapidly to try to increase the chances that students in an
experiment get the best conditions. Drawing inspiration from the use of machine
learning and experimentation in product development at leading technology
companies, we explore how adaptive experimentation might help in continuous
course improvement. In adaptive experiments, as different arms/conditions are
deployed to students, data is analyzed and used to change the experience for
future students. This can be done using machine learning algorithms to identify
which actions are more promising for improving student experience or outcomes.
This algorithm can then dynamically deploy the most effective conditions to
future students, resulting in better support for students' needs. We illustrate
the approach with a case study providing a side-by-side comparison of
traditional and adaptive experimentation of self-explanation prompts in online
homework problems in a CS1 course. This provides a first step in exploring the
future of how this methodology can be useful in bridging research and practice
in doing continuous improvement. | [
-0.03684244304895401,
-0.010967601090669632,
-0.04531946778297424,
-0.01988839916884899,
0.0050128549337387085,
0.04524701461195946,
-0.03908849507570267,
0.01961670070886612,
-0.04691343754529953,
0.0116377929225564,
-0.006045312620699406,
-0.038943588733673096,
0.018013672903180122,
-0.05593385919928551,
0.010922317393124104,
-0.012561570852994919,
0.011864209547638893,
0.043218325823545456,
-0.057672735303640366,
-0.01585819013416767,
0.0010466089006513357,
-0.07926378399133682,
-0.060317277908325195,
0.04314587265253067,
0.04292851313948631,
0.03383563831448555,
-0.03908849507570267,
0.01113967690616846,
-0.040428876876831055,
0.03687867149710655,
0.027640890330076218,
0.028220515698194504,
0.016655176877975464,
-0.038545094430446625,
-0.008390984497964382,
-0.01295100711286068,
0.005837009754031897,
0.003738131606951356,
0.009572877548635006,
0.03832773491740227,
-0.029760146513581276,
0.017678577452898026,
0.04926816746592522,
0.0005538706318475306,
-0.00007910416024969891,
-0.033962432295084,
-0.06922902166843414,
-0.06850448995828629,
-0.04763796925544739,
-0.04542814567685127,
-0.0005119836423546076,
-0.009989483281970024,
0.03872622922062874,
0.038690000772476196,
-0.02401823177933693,
0.023058226332068443,
0.004822665359824896,
-0.0447760671377182,
0.043182097375392914,
-0.03695112466812134,
0.058179907500743866,
0.00025726540479809046,
-0.012108738534152508,
-0.013186479918658733,
0.02401823177933693,
-0.04466738924384117,
-0.040428876876831055,
0.03178883343935013,
0.02048613876104355,
0.024380497634410858,
-0.008400041610002518,
-0.001616611727513373,
-0.01087703462690115,
-0.007064185570925474,
0.032386574894189835,
-0.01810424029827118,
0.09831897169351578,
0.0015464227180927992,
-0.06596862524747849,
0.004786438774317503,
0.06104180961847305,
0.0059321047738194466,
0.0009577405289746821,
-0.022695960476994514,
0.06520786881446838,
-0.03082882985472679,
0.029470333829522133,
-0.04915948584675789,
0.03140845522284508,
0.0008049096213653684,
-0.05738292261958122,
-0.01244383491575718,
0.04524701461195946,
0.045210786163806915,
-0.04792778193950653,
0.03148090839385986,
-0.0623459666967392,
-0.003022656310349703,
-0.00823702197521925,
0.03323790058493614,
0.0074445647187530994,
0.0075713577680289745,
-0.011203073896467686,
0.0164740439504385,
0.014707996509969234,
-0.04542814567685127,
-0.09404423832893372,
0.025702767074108124,
0.019073301926255226,
0.11179526895284653,
-0.0404651053249836,
0.0007500036736018956,
-0.045717958360910416,
-0.0010596278589218855,
-0.04792778193950653,
-0.013132140040397644,
-0.012190248817205429,
-0.052890826016664505,
0.02617371268570423,
-0.024326156824827194,
0.008590230718255043,
0.056549713015556335,
-0.01825820282101631,
-0.02613748610019684,
-0.03292997181415558,
0.0332016721367836,
0.02706126496195793,
0.012235531583428383,
0.046370040625333786,
-0.01452686358243227,
0.016791025176644325,
0.05966519936919212,
0.012869496829807758,
0.017578953877091408,
0.03108241595327854,
0.0066521079279482365,
0.054267436265945435,
0.020703498274087906,
0.0025947296526283026,
-0.06611353158950806,
-0.03211487457156181,
0.04854363575577736,
-0.013077800162136555,
-0.05459347367286682,
0.03160770237445831,
-0.043327003717422485,
0.015178942121565342,
0.047855328768491745,
-0.04155190289020538,
0.04640626534819603,
-0.05499196797609329,
0.037929244339466095,
-0.0357375331223011,
-0.003579640295356512,
0.007702679373323917,
-0.018837828189134598,
-0.014237050898373127,
-0.007539659738540649,
-0.03582809865474701,
0.021283123642206192,
0.03876245394349098,
0.03254959359765053,
0.0005210402887314558,
0.06506296247243881,
0.03267638757824898,
0.008137398399412632,
0.005542668513953686,
-0.0036271875724196434,
-0.07401093095541,
0.04970288649201393,
-0.022949546575546265,
-0.03457828238606453,
-0.007806830573827028,
0.000808871875051409,
0.0422402061522007,
0.004573607351630926,
0.020468024536967278,
-0.0007584943086840212,
-0.033871863037347794,
-0.05560782179236412,
-0.06854071468114853,
-0.022913319990038872,
0.028329195454716682,
0.04202284663915634,
0.033400919288396835,
0.01031552255153656,
0.07513395696878433,
0.019815945997834206,
0.010025709867477417,
-0.03195185586810112,
0.007843057624995708,
-0.0251774825155735,
0.007766075897961855,
0.05897689238190651,
0.01559554785490036,
-0.01421893760561943,
-0.042964737862348557,
-0.03358205035328865,
-0.004277002066373825,
0.017832539975643158,
-0.09375442564487457,
-0.07372111827135086,
0.02968769334256649,
0.0010375522542744875,
0.0006367955938912928,
0.014046861790120602,
0.0028913349378854036,
0.025068802759051323,
-0.005135119426995516,
-0.0480726882815361,
-0.022949546575546265,
0.0241631381213665,
-0.02678956463932991,
0.0037086973898112774,
0.01872914843261242,
-0.024561630561947823,
-0.0009226460242643952,
0.028329195454716682,
-0.04430512338876724,
-0.03785679116845131,
0.01326798927038908,
0.016935931518673897,
0.0025064274668693542,
-0.04303719103336334,
-0.008585702627897263,
0.0213736891746521,
0.031499020755290985,
-0.03385375067591667,
0.0412258617579937,
-0.05227497220039368,
0.00019245377916377038,
0.04104473069310188,
0.005918519571423531,
0.0014298183377832174,
-0.0035094511695206165,
-0.01124835666269064,
0.03731339052319527,
0.015260452404618263,
0.023583512753248215,
-0.003944170195609331,
-0.06607730686664581,
-0.036425840109586716,
-0.05622367188334465,
-0.0404651053249836,
0.0402115173637867,
-0.023474832996726036,
0.03619036450982094,
0.057527828961610794,
0.02731485106050968,
0.017162349075078964,
0.0016777440905570984,
-0.03191562741994858,
-0.00037386975600384176,
0.021826522424817085,
-0.018330655992031097,
0.03461451083421707,
0.06470069289207458,
-0.055136874318122864,
0.022858979180455208,
-0.027260510250926018,
0.042059075087308884,
0.0026309562381356955,
0.002866429043933749,
0.03215109929442406,
-0.017388764768838882,
-0.026101259514689445,
0.068939208984375,
-0.008132870309054852,
-0.010587221942842007,
0.010215898975729942,
-0.01708989590406418,
-0.0488334484398365,
0.004197756294161081,
-0.011782699264585972,
0.022225014865398407,
-0.05709310993552208,
0.037530750036239624,
0.020794063806533813,
0.02803938277065754,
0.01800461672246456,
-0.04242134094238281,
-0.005026439670473337,
0.038545094430446625,
-0.02113821730017662,
0.010795524343848228,
-0.05644103139638901,
-0.016501212492585182,
-0.03657074645161629,
-0.062201060354709625,
-0.010297409258782864,
-0.0241631381213665,
-0.06350521743297577,
-0.02048613876104355,
0.007326828315854073,
0.03410733863711357,
0.030919397249817848,
-0.03778433799743652,
0.01622951403260231,
-0.0031268077436834574,
-0.020794063806533813,
0.01477139350026846,
-0.05618744716048241,
0.008463437668979168,
0.034777529537677765,
0.0035864326637238264,
-0.008526834659278393,
-0.0055471970699727535,
0.035991121083498,
0.0021430293563753366,
0.004804552067071199,
0.07415583729743958,
-0.009781179949641228,
0.04010283946990967,
0.002242652466520667,
0.006357767153531313,
0.005121534690260887,
0.09527593851089478,
0.010252125561237335,
-0.02048613876104355,
-0.034904323518276215,
-0.009763066656887531,
-0.03771188482642174,
-0.10527447611093521,
0.038943588733673096,
0.03206053376197815,
-0.031354114413261414,
-0.04013906419277191,
-0.02501446194946766,
-0.03405299782752991,
-0.004790966864675283,
-0.04111718386411667,
-0.03274884074926376,
-0.04089982435107231,
0.008368343114852905,
-0.022460486739873886,
-0.038291510194540024,
-0.03600923344492912,
0.038037922233343124,
-0.003076996188610792,
0.028455989435315132,
-0.045609280467033386,
-0.045065879821777344,
-0.04176926240324974,
-0.0006056633428670466,
0.0069555058144032955,
0.004616626538336277,
-0.040175292640924454,
0.057419151067733765,
0.017062725499272346,
-0.0834660679101944,
0.0010941562941297889,
0.014391014352440834,
0.026065032929182053,
0.0050128549337387085,
-0.00015849134069867432,
-0.030756376683712006,
0.042059075087308884,
0.04285605996847153,
-0.0437617227435112,
0.01885594241321087,
0.05651348456740379,
-0.03926962614059448,
-0.024000117555260658,
0.022786526009440422,
-0.044341348111629486,
0.003022656310349703,
0.018910281360149384,
-0.01910952851176262,
0.005352478940039873,
-0.020920857787132263,
0.004410587716847658,
0.012624967843294144,
0.03738584369421005,
-0.019815945997834206,
-0.01684536598622799,
0.009029477834701538,
-0.026698999106884003,
0.007603056263178587,
-0.05644103139638901,
0.03512168303132057,
0.035991121083498,
-0.02941599301993847,
-0.015423472039401531,
0.048760995268821716,
-0.013548745773732662,
0.0171080082654953,
0.013023460283875465,
-0.012724590487778187,
0.01900084875524044,
0.08317625522613525,
0.04039265215396881,
0.014418183825910091,
-0.03296620026230812,
0.0031358643900603056,
0.012208362109959126,
-0.009427971206605434,
0.011266469955444336,
-0.035773761570453644,
0.04354436323046684,
-0.0020037833601236343,
-0.02831108309328556,
-0.01900084875524044,
-0.019580474123358727,
-0.010043823160231113,
0.01774197444319725,
0.024869555607438087,
-0.020576704293489456,
0.030756376683712006,
-0.008368343114852905,
0.0207397248595953,
-0.011927605606615543,
0.02151859551668167,
-0.009735897183418274,
-0.011556283570826054,
0.0419866219162941,
0.043834175914525986,
-0.04702211916446686,
0.0452832393348217,
0.02329370006918907,
-0.04542814567685127,
0.045210786163806915,
0.00855400413274765,
0.020848404616117477,
-0.03952321410179138,
-0.0106234485283494,
0.021717842668294907,
0.019797833636403084,
-0.026372959837317467,
-0.048362500965595245,
0.014481580816209316,
0.06408484280109406,
0.001615479588508606,
-0.007172865327447653,
-0.018158579245209694,
-0.0027441643178462982,
0.005986444652080536,
0.04234888777136803,
0.005859651602804661,
-0.019200094044208527,
0.01747933030128479,
-0.010016652755439281,
0.016021210700273514,
0.008658155798912048,
-0.008486079052090645,
-0.05734669789671898,
-0.004320021253079176,
-0.03542960807681084,
-0.016809139400720596,
-0.024815216660499573,
-0.024235591292381287,
-0.07491659373044968,
0.046840984374284744,
-0.07462678104639053,
-0.03731339052319527,
0.06201992556452751,
-0.029108067974448204,
0.0061630490235984325,
-0.0440153107047081,
0.013331386260688305,
-0.03789301589131355,
0.05082590878009796,
0.03291185945272446,
0.03984925150871277,
-0.023474832996726036,
0.008938911370933056,
0.009097402915358543,
-0.07926378399133682,
-0.05846972018480301,
-0.006692863069474697,
-0.01143854670226574,
-0.0004542475217022002,
-0.03651640564203262,
-0.030104298144578934,
0.008676269091665745,
0.012298928573727608,
0.021554822102189064,
-0.0077479626052081585,
-0.08875515311956406,
-0.011483829468488693,
-0.030013732612133026,
-0.012597797438502312,
0.0017954804934561253,
-0.009215139783918858,
-0.0402115173637867,
-0.032386574894189835,
-0.050644777715206146,
0.03600923344492912,
0.041189637035131454,
0.026191826909780502,
-0.020468024536967278,
-0.06839580833911896,
-0.02236992120742798,
-0.0029637881089001894,
0.044196441769599915,
-0.008128342218697071,
0.007670980878174305,
-0.01950802095234394,
-0.04550059884786606,
-0.014074031263589859,
-0.002490578219294548,
0.003570583648979664,
-0.01988839916884899,
-0.05223874747753143,
0.025467295199632645,
-0.011148734018206596,
-0.0213736891746521,
-0.03227789327502251,
0.011538169346749783,
0.03707791864871979,
0.020160099491477013,
-0.02213444747030735,
0.0498477928340435,
-0.008771363645792007,
0.003033977234736085,
0.02492389641702175,
0.042566247284412384,
-0.020830290392041206,
0.00041405862430110574,
0.024090684950351715,
0.03360016644001007,
0.02014198526740074,
0.03278506547212601,
0.006950977724045515,
0.009536650963127613,
-0.02994127944111824,
0.03937830775976181,
0.0651354119181633,
-0.0021022744476795197,
0.04600777104496956,
-0.05520932748913765,
-0.07716264575719833,
0.03236846253275871,
-0.023800872266292572,
-0.05057232454419136,
-0.01648310013115406,
-0.03988547995686531,
0.0661497563123703,
-0.005035496316850185,
0.02729673683643341,
0.0025132198352366686,
-0.03233223408460617,
0.016981216147542,
0.04463116079568863,
-0.016193287447094917,
0.025449180975556374,
-0.002366049448028207,
0.025304274633526802,
-0.026228053495287895,
0.007707207463681698,
0.0035456777550280094,
-0.011103450320661068,
0.00874419417232275,
0.0007579282391816378,
0.022225014865398407,
-0.0022177468053996563,
-0.0498477928340435,
-0.024579742923378944,
-0.02539484202861786,
0.013195536099374294,
-0.07035204023122787,
0.008726080879569054,
0.030865056440234184,
0.014345730654895306,
0.0004542475217022002,
-0.054883286356925964,
-0.025612201541662216,
0.025467295199632645,
0.06658447533845901,
0.013005346991121769,
-0.016292911022901535,
-0.023746531456708908,
-0.0025403897743672132,
0.010224956087768078,
-0.0362447053194046,
-0.021174443885684013,
0.02579333446919918,
0.014952526427805424,
-0.06788863241672516,
0.011755529791116714,
-0.030466563999652863,
0.021337462589144707,
-0.03635338693857193,
-0.011981945484876633,
0.018765375018119812,
0.0397043451666832,
0.056042540818452835,
0.00541134737432003,
-0.02465219609439373,
-0.013612141832709312,
-0.01950802095234394,
0.01796839013695717,
-0.011121563613414764,
-0.03593678027391434,
0.0007500036736018956,
-0.006466446910053492,
0.06354144215583801,
-0.004340398591011763,
-0.014083088375627995,
0.020938970148563385,
-0.014028748497366905,
0.030412225052714348,
0.018692921847105026,
0.058179907500743866,
0.057564057409763336,
-0.02151859551668167,
0.010487598367035389,
0.016048381105065346,
-0.011936662718653679,
0.010460428893566132,
0.03620848059654236,
0.021572936326265335,
-0.02791259065270424,
0.05180402845144272,
-0.011429489590227604,
-0.0008660419844090939,
-0.030267318710684776,
0.020902743563055992,
0.00042170018423348665,
-0.00017221782763954252,
0.017452161759138107,
0.04416021704673767,
-0.023203132674098015,
0.023565398529171944,
-0.015495925210416317,
-0.02706126496195793,
0.023927664384245872,
-0.008685325272381306,
0.00414794497191906,
-0.00830494612455368,
0.003113222774118185,
-0.004953986499458551,
-0.016700459644198418,
-0.005289082415401936,
-0.033274125307798386,
0.02831108309328556,
0.03763943165540695,
-0.0061766342259943485,
0.059955012053251266,
0.0344696044921875,
-0.017053669318556786,
-0.054919514805078506,
-0.0062581440433859825,
-0.018910281360149384,
0.08810307085514069,
0.01315025333315134,
0.0007675509550608695,
0.045102108269929886,
-0.0202325526624918,
0.05593385919928551,
0.022985773161053658,
0.029108067974448204,
0.04003038629889488,
0.01648310013115406,
0.03887113556265831,
-0.052021387964487076,
-0.029488446190953255,
0.0028935992158949375,
0.0054521020501852036,
0.021283123642206192,
0.007154752034693956,
0.0030135996639728546,
0.028365422040224075,
0.01872914843261242,
-0.02628239244222641,
0.018394052982330322,
-0.008594758808612823,
0.033256012946367264,
-0.00769815081730485,
-0.010469485074281693,
0.05343422293663025,
0.013865728862583637,
-0.013023460283875465,
-0.05285459756851196,
0.0480726882815361,
0.033129218965768814,
-0.02653597854077816,
-0.007974378764629364,
0.06035350263118744,
-0.0035864326637238264,
-0.008576645515859127,
-0.034777529537677765,
-0.0067924861796200275,
0.007073242217302322,
-0.027749570086598396,
0.01553215179592371,
-0.009455140680074692,
-0.01585819013416767,
0.060824450105428696,
-0.03081071749329567,
0.014508750289678574,
-0.029886938631534576,
-0.004990213084965944,
0.024724649265408516,
0.003869452979415655,
-0.008232492953538895,
0.007154752034693956,
-0.015097432769834995,
-0.02639107219874859,
-0.011049110442399979,
0.008128342218697071,
-0.027985043823719025,
0.01250723097473383,
-0.030520904809236526,
0.0027328436262905598,
0.022677846252918243,
-0.0018554808339104056,
-0.011782699264585972,
-0.014028748497366905,
-0.05260101333260536,
0.01810424029827118,
0.01169213280081749,
0.0440153107047081,
0.004025680013000965,
0.05462970212101936,
0.034415263682603836,
-0.010795524343848228,
0.00678795762360096,
-0.020721610635519028,
-0.01012533251196146,
0.04473984241485596,
0.03133600205183029,
0.023728419095277786,
-0.005298139061778784,
-0.01709895208477974,
-0.033382806926965714,
0.02966957911849022,
0.03296620026230812,
0.023945778608322144,
-0.012860440649092197,
-0.01872914843261242,
0.018031787127256393,
-0.03129977732896805,
-0.0002840108354575932,
-0.023927664384245872,
0.02630050666630268,
0.00955476425588131,
0.0012339683016762137,
0.06658447533845901,
-0.008852873928844929,
0.0068151275627315044,
0.021065764129161835,
0.0008083058637566864,
0.009681557305157185,
-0.0020286892540752888,
0.0029796373564749956,
-0.017787257209420204,
0.04387040436267853,
-0.01887405477464199,
0.022043881937861443,
-0.030756376683712006,
0.020594818517565727,
0.021935202181339264,
0.015649888664484024,
-0.0003761339175980538,
-0.05745537579059601,
-0.03258582204580307,
0.002952467417344451,
0.020540477707982063,
0.012054398655891418,
0.023076338693499565,
-0.018548015505075455,
0.0118279829621315,
0.022822752594947815,
-0.004872476682066917,
-0.004197756294161081,
0.02615560032427311,
-0.029705805703997612,
-0.004084548447281122,
0.007394753396511078,
0.012208362109959126,
0.004387945868074894,
-0.014372901059687138,
0.06430219858884811,
-0.0035569986794143915,
-0.028492216020822525,
0.0155864916741848,
-0.00955476425588131,
0.0000576653765165247,
-0.031861286610364914,
-0.011737416498363018,
0.03999415785074234,
-0.028619008138775826,
0.007612112909555435,
0.00824607815593481,
0.006018142681568861,
-0.0437617227435112,
0.02639107219874859,
-0.017434047535061836,
-0.0060951244086027145,
-0.010360805317759514,
0.0049177599139511585,
-0.019073301926255226,
-0.007172865327447653,
-0.012090625241398811,
0.040791142731904984,
-0.014372901059687138,
0.013340442441403866,
-0.011003827676177025,
-0.05397762358188629,
-0.020449912175536156,
0.033382806926965714,
0.002318501938134432,
-0.03267638757824898,
0.020413685590028763,
-0.00733135687187314,
-0.00931023433804512,
-0.010650618001818657,
-0.06553390622138977,
0.02956089936196804,
0.06933769583702087,
0.041805487126111984,
-0.004030208569020033,
-0.02025066502392292,
-0.045065879821777344,
0.07614830136299133,
0.0039690760895609856,
0.0037132257129997015,
0.05607876554131508,
-0.02490578219294548,
0.04843495413661003,
0.00475021218881011,
-0.03254959359765053,
0.0011558547848835588,
0.0009837783873081207,
-0.03613602742552757,
-0.04379795119166374,
0.02025066502392292,
-0.01082269474864006,
0.023040112107992172,
-0.027858249843120575,
0.02439860999584198,
0.032495252788066864,
-0.0011807605624198914,
0.01440912764519453,
0.008064945228397846,
0.03637149930000305,
-0.025575974956154823,
-0.019073301926255226,
-0.019707266241312027,
0.023166906088590622,
-0.009663444012403488,
-0.0027486926410347223,
-0.01068684458732605,
0.01712612248957157,
-0.01491629984229803,
-0.02265973389148712,
-0.01671857200562954,
0.00662946654483676,
0.011284583248198032,
-0.03934207931160927,
0.03070203773677349,
0.02177218161523342,
0.003774358192458749,
0.030412225052714348,
0.020902743563055992,
0.033129218965768814,
-0.008563061244785786,
0.03215109929442406,
-0.05557159334421158,
-0.001787555986084044,
-0.009581933729350567,
0.016944989562034607,
0.004523795563727617,
-0.01421893760561943,
0.02401823177933693,
0.005986444652080536,
0.015423472039401531,
-0.026843905448913574,
-0.016274796798825264,
-0.034886207431554794,
-0.0007211355841718614,
0.05223874747753143,
0.0001703781890682876,
0.05872330814599991,
0.01000759657472372,
0.022605393081903458,
-0.0053388942033052444,
-0.0099260862916708,
0.0023173699155449867,
-0.03207864612340927,
0.017406877130270004,
0.032006192952394485,
0.03133600205183029,
0.02077595144510269,
0.007689094170928001,
0.01811329647898674,
-0.03274884074926376,
-0.030212977901101112,
0.030086185783147812,
-0.03959566727280617,
0.0207397248595953,
0.024054458364844322,
-0.003360016504302621,
-0.0034573753364384174,
0.04539192095398903,
0.011021940968930721,
-0.022985773161053658,
0.000488209945615381,
0.009790237061679363,
0.02441672421991825,
-0.012615910731256008,
-0.04100850224494934,
0.029126180335879326,
-0.013621198944747448,
0.020323118194937706,
0.003403035458177328,
0.045210786163806915,
0.02010575868189335,
0.0427473783493042,
0.0014434033073484898,
-0.0036430368199944496,
0.018711036071181297,
0.029524672776460648,
0.015006866306066513,
0.03341903164982796,
0.01491629984229803,
-0.006312483921647072,
-0.0490870326757431,
0.023927664384245872,
-0.05915802717208862,
0.043580591678619385,
0.03872622922062874,
0.05423120781779289,
0.0015939701115712523,
-0.03760320320725441,
0.01860235631465912,
0.05857840180397034,
0.006267200689762831,
-0.010949487797915936,
-0.02943410724401474,
-0.031499020755290985,
0.03825528174638748,
0.029723919928073883,
-0.0032694500405341387,
0.020576704293489456,
-0.010360805317759514,
-0.0043019079603254795,
0.01735253818333149,
-0.02162727527320385,
0.006303427275270224,
-0.009224195964634418,
-0.00048339858767576516,
0.011166847310960293,
0.01056910865008831,
-0.01119401678442955,
-0.016944989562034607,
-0.02816617675125599,
0.020920857787132263,
-0.003185675945132971,
0.014889129437506199,
-0.040791142731904984,
-0.029905052855610847,
0.02655409276485443,
-0.008445324376225471,
-0.04662362486124039,
-0.018212920054793358,
-0.013911011628806591,
0.048760995268821716,
-0.010152502916753292,
0.061440300196409225,
0.006692863069474697,
-0.002270954428240657,
-0.004023415967822075,
0.011148734018206596,
0.005506441928446293,
-0.025612201541662216,
-0.02528616227209568,
-0.028637122362852097,
-0.01527856569737196,
-0.027966929599642754,
-0.005642291624099016,
-0.03546583279967308,
-0.015921587124466896,
0.043689269572496414,
0.012751760892570019,
-0.010306465439498425,
-0.017506500706076622,
-0.02037745900452137,
-0.018176693469285965,
0.017135178670287132,
0.041950393468141556,
-0.040066611021757126,
-0.009319291450083256,
-0.0020535949151962996,
-0.020341232419013977,
-0.05394139513373375,
0.028220515698194504,
-0.026499751955270767,
-0.019308773800730705,
-0.004193228203803301,
-0.01099477056413889,
-0.022333694621920586,
0.03544772043824196,
-0.012941950000822544,
-0.015351018868386745,
0.02640918642282486,
0.0026717111468315125,
-0.009337404742836952,
-0.023818984627723694,
0.018158579245209694,
-0.052637238055467606,
-0.020214438438415527,
-0.0023818984627723694,
0.036027345806360245,
0.016637062653899193,
-0.009437027387320995,
0.05343422293663025,
-0.016437817364931107,
-0.016283852979540825,
0.03635338693857193,
0.01683630980551243,
0.013974408619105816,
-0.002495106542482972,
0.012715534307062626,
-0.01822197623550892,
0.019399341195821762,
-0.046877212822437286,
-0.016193287447094917,
0.007467206567525864,
-0.06738146394491196,
0.03463262319564819,
-0.05292705073952675,
0.034397151321172714,
-0.03140845522284508
] |
The growing adoption of declarative software specification languages, coupled
with their inherent difficulty in debugging, has underscored the need for
effective and automated repair techniques applicable to such languages.
Researchers have recently explored various methods to automatically repair
declarative software specifications, such as template-based repair,
feedback-driven iterative repair, and bounded exhaustive approaches. The latest
developments in large language models provide new opportunities for the
automatic repair of declarative specifications. In this study, we assess the
effectiveness of utilizing OpenAI's ChatGPT to repair software specifications
written in the Alloy declarative language. Unlike imperative languages,
specifications in Alloy are not executed but rather translated into logical
formulas and evaluated using backend constraint solvers to identify
specification instances and counterexamples to assertions. Our evaluation
focuses on ChatGPT's ability to improve the correctness and completeness of
Alloy declarative specifications through automatic repairs. We analyze the
results produced by ChatGPT and compare them with those of leading automatic
Alloy repair methods. Our study revealed that while ChatGPT falls short in
comparison to existing techniques, it was able to successfully repair bugs that
no other technique could address. Our analysis also identified errors in
ChatGPT's generated repairs, including improper operator usage, type errors,
higher-order logic misuse, and relational arity mismatches. Additionally, we
observed instances of hallucinations in ChatGPT-generated repairs and
inconsistency in its results. Our study provides valuable insights for software
practitioners, researchers, and tool builders considering ChatGPT for
declarative specification repairs. | [
-0.013183655217289925,
0.0039231558330357075,
-0.020923499017953873,
-0.018645985051989555,
0.058993153274059296,
0.08769352734088898,
-0.028089333325624466,
0.011128338053822517,
0.01539636217057705,
0.06125215068459511,
0.035051487386226654,
-0.010035872459411621,
-0.00953593011945486,
-0.010998724028468132,
-0.008503642864525318,
0.016933219507336617,
-0.018868181854486465,
-0.00008216639253078029,
-0.02420089580118656,
-0.041402604430913925,
-0.03899547457695007,
0.006846427917480469,
-0.029237348586320877,
0.027719005942344666,
0.04695751518011093,
0.02840411104261875,
0.02618214674293995,
-0.00330980122089386,
-0.022404808551073074,
-0.005207729060202837,
0.008174977265298367,
0.014118731953203678,
-0.008966552093625069,
-0.02279365062713623,
0.029922453686594963,
-0.01929405704140663,
0.003670870326459408,
0.0073139662854373455,
0.006165951024740934,
0.0391065739095211,
-0.011831960640847683,
-0.009059133939445019,
0.010646913200616837,
-0.03444044664502144,
-0.010924658738076687,
0.029866904020309448,
0.031662993133068085,
-0.015933336690068245,
-0.013266978785395622,
-0.02621917985379696,
-0.028200430795550346,
0.008022217079997063,
0.07195461541414261,
-0.004022681619971991,
-0.005184583831578493,
-0.024108313024044037,
0.020553171634674072,
-0.006735329516232014,
0.06591827422380447,
-0.06625156849622726,
0.017822006717324257,
0.036940157413482666,
-0.021330857649445534,
0.018497854471206665,
-0.015368587337434292,
-0.04566136747598648,
-0.0342923179268837,
-0.010776527225971222,
-0.020867949351668358,
0.010508039966225624,
-0.02729312889277935,
-0.00847586803138256,
-0.036940157413482666,
0.002798286499455571,
0.024848967790603638,
0.015442652627825737,
0.03881031274795532,
0.028607791289687157,
-0.00792037695646286,
0.009272072464227676,
0.050216395407915115,
0.04284688085317612,
-0.040291622281074524,
0.012813327834010124,
0.003263510297983885,
-0.06310378760099411,
0.040513817220926285,
-0.058030303567647934,
0.05488252267241478,
-0.026904284954071045,
-0.008934148587286472,
0.029607675969600677,
-0.0027103335596621037,
-0.025385944172739983,
0.0015438023256137967,
-0.007323224563151598,
-0.07954632490873337,
-0.017359096556901932,
-0.05214209854602814,
0.05728964880108833,
-0.03755119815468788,
-0.020479105412960052,
0.041328538209199905,
-0.0021178098395466805,
0.020886465907096863,
-0.05610460042953491,
-0.025348911061882973,
-0.0005638813599944115,
0.041032277047634125,
0.15138983726501465,
-0.042476553469896317,
0.0011694245040416718,
-0.008040733635425568,
-0.041476670652627945,
0.017562776803970337,
-0.005795623641461134,
-0.020312458276748657,
-0.05377154052257538,
0.0006058324943296611,
-0.00752227520570159,
-0.025978466495871544,
0.07621338218450546,
-0.012415226548910141,
-0.048994313925504684,
-0.05258649215102196,
0.05432702973484993,
0.0009599580662325025,
0.00558731472119689,
-0.02625621296465397,
0.010656170547008514,
-0.03584769368171692,
0.019701417535543442,
0.006068740505725145,
-0.04621686041355133,
0.07836128026247025,
0.0019546342082321644,
0.00224510976113379,
-0.027348678559064865,
-0.008202752098441124,
-0.025904402136802673,
-0.014174281619489193,
-0.021738218143582344,
0.03171854093670845,
-0.008628628216683865,
0.01550745964050293,
-0.015498201362788677,
-0.02371947094798088,
0.09324844181537628,
-0.027978235855698586,
0.007688922807574272,
-0.03955096751451492,
0.009637770242989063,
-0.002703390084207058,
0.002312231808900833,
0.010683945380151272,
-0.0039115832187235355,
-0.003504222957417369,
0.012267095036804676,
0.004754078108817339,
0.02633027732372284,
0.05610460042953491,
-0.07999072223901749,
0.020164327695965767,
-0.03866218030452728,
0.042032159864902496,
-0.002805229974910617,
0.012868877500295639,
0.04369863495230675,
-0.06202983856201172,
0.03847701847553253,
0.029607675969600677,
0.05684525519609451,
0.030255747959017754,
0.006059482228010893,
-0.023182494565844536,
0.010822818614542484,
0.01777571439743042,
0.013285495340824127,
0.03673647716641426,
-0.012655938975512981,
-0.05225319787859917,
0.05329011380672455,
0.05477142333984375,
-0.01766461692750454,
0.07291746884584427,
0.0001798113080440089,
0.035199619829654694,
-0.008938777260482311,
0.03490335866808891,
-0.02540445886552334,
-0.01200786605477333,
0.0011451217578724027,
-0.01333178672939539,
0.000570824951864779,
-0.050586722791194916,
-0.0003118851163890213,
-0.049623873084783554,
-0.029515093192458153,
-0.048623986542224884,
0.006559424102306366,
-0.001174053642898798,
-0.027237581089138985,
-0.041180405765771866,
-0.022997330874204636,
0.033218368887901306,
0.05566020682454109,
0.00838328618556261,
0.06506652384996414,
0.04732784256339073,
-0.04506884515285492,
-0.04455038532614708,
-0.01658140867948532,
-0.04236545413732529,
-0.029015151783823967,
-0.049697935581207275,
-0.02275661937892437,
-0.018683018162846565,
-0.007489871699362993,
-0.009971065446734428,
-0.015868529677391052,
0.0012903595343232155,
0.009647028520703316,
0.02814488299190998,
-0.012665197253227234,
-0.00580025278031826,
0.000014682902474305592,
-0.009674803353846073,
-0.0007487557013519108,
0.00646221311762929,
0.04636498913168907,
-0.009276701137423515,
0.050920017063617706,
0.002717277267947793,
0.017951620742678642,
0.008929519914090633,
-0.03584769368171692,
-0.00873509794473648,
0.0018053461099043489,
-0.03245919570326805,
-0.008485126309096813,
-0.03495890647172928,
0.0005031244945712388,
-0.012461517006158829,
-0.07502833008766174,
0.05721558257937431,
0.027867136523127556,
0.0036546685732901096,
0.06717739254236221,
0.011924542486667633,
0.025034131482243538,
-0.018534885719418526,
0.03843998536467552,
-0.0015808350872248411,
0.04814256355166435,
-0.03345908224582672,
0.04643905535340309,
0.07176945358514786,
-0.049031347036361694,
0.050845950841903687,
-0.0029417884070426226,
0.01650734432041645,
-0.028867021203041077,
0.004592059645801783,
0.014951968565583229,
0.006309452932327986,
0.04192106053233147,
-0.01692396216094494,
0.00717509351670742,
0.01736835576593876,
0.016090726479887962,
0.017822006717324257,
-0.020423555746674538,
-0.026830220595002174,
0.021775251254439354,
-0.024941550567746162,
-0.041291505098342896,
-0.03869921341538429,
0.007591711822897196,
0.015377845615148544,
0.0028630937449634075,
0.015738913789391518,
-0.009378541260957718,
0.02688577026128769,
0.030440911650657654,
-0.0010826289653778076,
-0.07288043200969696,
-0.0344959981739521,
0.004406895954161882,
-0.006091885734349489,
-0.03818075358867645,
-0.028792954981327057,
-0.036606863141059875,
0.02625621296465397,
0.04547620564699173,
0.032477714121341705,
0.002448790008202195,
0.030774207785725594,
0.041291505098342896,
0.024145346134901047,
-0.01535932905972004,
-0.0641777366399765,
-0.035088520497083664,
-0.02149750478565693,
0.022775135934352875,
-0.05510471761226654,
0.007147318683564663,
0.020201358944177628,
0.014396477490663528,
-0.024108313024044037,
-0.009563704952597618,
0.039699096232652664,
-0.035532914102077484,
-0.058622825890779495,
0.0071334317326545715,
-0.006684409454464912,
0.040736015886068344,
0.029644709080457687,
-0.0047448198311030865,
-0.0534752756357193,
-0.01197083294391632,
0.015276005491614342,
-0.03566252812743187,
-0.09198932349681854,
-0.006165951024740934,
0.029237348586320877,
0.03445896506309509,
0.05743778124451637,
0.03488484025001526,
0.01316513866186142,
-0.032588809728622437,
-0.021664153784513474,
0.03242216259241104,
0.00855456292629242,
-0.012730004265904427,
-0.011109822429716587,
-0.032366614788770676,
-0.06702926009893417,
0.013405852019786835,
-0.01759055070579052,
-0.02290474995970726,
-0.04377269744873047,
-0.0077444720081985,
0.0038745503406971693,
0.018831148743629456,
0.0017833579331636429,
-0.04443928971886635,
0.04743894189596176,
-0.01918295957148075,
-0.049290578812360764,
-0.016257373616099358,
0.0011595876421779394,
0.021590087562799454,
-0.010730236768722534,
0.020534655079245567,
0.023960182443261147,
-0.01375766284763813,
0.0032843411900103092,
-0.019349606707692146,
0.018210850656032562,
0.029626192525029182,
0.059289418160915375,
-0.10295102000236511,
-0.0016583723481744528,
0.00589283462613821,
-0.004413839895278215,
-0.03373682498931885,
-0.0483277253806591,
-0.015637073665857315,
-0.015720399096608162,
-0.016331437975168228,
0.03394050523638725,
0.0970257818698883,
0.029496576637029648,
-0.020534655079245567,
0.004689270630478859,
-0.0013158195652067661,
0.03027426451444626,
-0.011146854609251022,
0.026237696409225464,
0.06151138246059418,
-0.0011671099346131086,
-0.016414761543273926,
0.02120124362409115,
0.0014153450028970838,
-0.03186667338013649,
0.02349727414548397,
0.003582917619496584,
-0.0012857303954660892,
-0.013998376205563545,
0.01747945323586464,
0.017423903569579124,
0.03295913711190224,
-0.06091885641217232,
-0.020886465907096863,
0.011396825313568115,
0.02316397987306118,
-0.0464760884642601,
-0.004029625095427036,
0.028792954981327057,
-0.03490335866808891,
-0.01342436857521534,
-0.03784745931625366,
-0.02375650219619274,
0.061955776065588,
-0.01584075391292572,
-0.021590087562799454,
-0.026459893211722374,
0.014600157737731934,
0.03071865811944008,
0.0032681392040103674,
-0.01695173606276512,
0.004529566969722509,
0.01104501448571682,
-0.018729308620095253,
0.08473090827465057,
0.014498317614197731,
0.020701302215456963,
-0.0002258129243273288,
0.036310601979494095,
-0.009628512896597385,
0.02323804423213005,
0.008873970247805119,
0.020108778029680252,
-0.0319037064909935,
0.006517762318253517,
-0.01126721128821373,
0.013341045007109642,
0.06128918379545212,
-0.04692048206925392,
-0.06584421545267105,
0.004916096106171608,
0.010646913200616837,
0.000521640875376761,
-0.06262236088514328,
-0.013600273989140987,
-0.02762642502784729,
0.02866334095597267,
-0.042069192975759506,
-0.028829988092184067,
0.04455038532614708,
-0.018895955756306648,
-0.00043571332935243845,
-0.0030621446203440428,
-0.018895955756306648,
-0.06014116853475571,
-0.020330974832177162,
-0.05366044119000435,
0.02238629199564457,
-0.00041054264875128865,
-0.05395670235157013,
-0.0342923179268837,
0.024886000901460648,
-0.10258068889379501,
-0.03858811408281326,
0.005360489245504141,
-0.06947342306375504,
0.006790878716856241,
-0.03282952308654785,
0.05177177116274834,
-0.027089448645710945,
-0.0029533610213547945,
0.004402266815304756,
0.009410944767296314,
0.0007146161515265703,
0.01884966529905796,
0.032440681010484695,
0.028774438425898552,
-0.022812167182564735,
0.024663804098963737,
0.03562549501657486,
-0.04736487567424774,
-0.041439637541770935,
-0.01580372266471386,
-0.027237581089138985,
0.028755921870470047,
-0.03377385810017586,
0.028274497017264366,
-0.006966784130781889,
0.031366731971502304,
0.022812167182564735,
0.014109473675489426,
0.029829872772097588,
-0.017710907384753227,
-0.04651312157511711,
-0.010109937749803066,
0.03943986818194389,
0.10013652592897415,
-0.048772118985652924,
0.0383659191429615,
0.015618558041751385,
-0.041476670652627945,
-0.02112717740237713,
-0.02275661937892437,
0.005087372846901417,
0.051475510001182556,
-0.003323688404634595,
-0.004758707247674465,
-0.04329127445816994,
-0.008031475357711315,
0.02146047353744507,
-0.014470542781054974,
0.002703390084207058,
-0.019460704177618027,
-0.017192449420690536,
-0.012507808394730091,
-0.039773162454366684,
-0.06828837096691132,
0.040884144604206085,
-0.019923614338040352,
-0.0035134812351316214,
-0.020849432796239853,
-0.049623873084783554,
-0.01150792371481657,
-0.02610808238387108,
0.008466609753668308,
-0.008281446062028408,
-0.012211546301841736,
-0.017784973606467247,
0.058141402900218964,
0.05414186790585518,
-0.021664153784513474,
-0.008036104962229729,
-0.02231222577393055,
0.03008910082280636,
-0.009128570556640625,
0.04418005794286728,
0.029903937131166458,
-0.004041197709739208,
-0.009318362921476364,
0.011378309689462185,
-0.02120124362409115,
0.041365571320056915,
-0.03482929244637489,
-0.03525516763329506,
-0.021997448056936264,
-0.06780694425106049,
0.021627120673656464,
-0.00022161781089380383,
-0.020442072302103043,
0.02308991365134716,
-0.02766345627605915,
0.04440225660800934,
-0.02721906453371048,
0.06062259525060654,
0.023330627009272575,
-0.018655242398381233,
0.03843998536467552,
-0.025237811729311943,
0.006545536685734987,
0.034644126892089844,
-0.019979164004325867,
0.049142446368932724,
-0.03331094980239868,
0.016794348135590553,
-0.01940515637397766,
-0.04332830756902695,
0.01338733546435833,
0.008711951784789562,
0.020053228363394737,
-0.03460709750652313,
-0.029274381697177887,
0.0038352031260728836,
-0.014146506786346436,
-0.015470427460968494,
0.01896076276898384,
-0.05699338763952255,
0.025219295173883438,
0.04340237006545067,
-0.00960999634116888,
0.016275890171527863,
-0.021664153784513474,
0.012757779099047184,
0.017127642408013344,
0.01323920488357544,
0.004487905185669661,
0.0031061209738254547,
-0.004531881771981716,
-0.035421814769506454,
-0.008586966432631016,
0.015701882541179657,
-0.030977888032794,
-0.04321720823645592,
-0.01914592646062374,
0.03999536111950874,
0.012063414789736271,
0.02766345627605915,
-0.011424600146710873,
-0.005920609459280968,
0.01803494431078434,
-0.04292094707489014,
-0.003145468421280384,
-0.0006359216058626771,
-0.030366847291588783,
-0.017609067261219025,
-0.051364410668611526,
-0.011943059042096138,
0.009438719600439072,
0.004879063460975885,
0.027089448645710945,
-0.0568082220852375,
0.00988774187862873,
0.02116421051323414,
0.06347411870956421,
0.032218482345342636,
-0.028459660708904266,
0.008804533630609512,
0.024774903431534767,
-0.024534190073609352,
-0.013415110297501087,
0.010322876274585724,
-0.007841682992875576,
-0.02733016200363636,
0.04484664648771286,
-0.06854759901762009,
-0.019608836621046066,
-0.06184467673301697,
0.011868992820382118,
0.012665197253227234,
-0.009410944767296314,
-0.003353777574375272,
0.06317785382270813,
-0.048586953431367874,
0.035903241485357285,
-0.04477258399128914,
-0.016757315024733543,
0.06943638622760773,
-0.027941202744841576,
-0.05317901447415352,
-0.0077213263139128685,
0.005564169026911259,
-0.07473207265138626,
-0.023256560787558556,
-0.02847817726433277,
-0.02209002897143364,
0.04651312157511711,
0.009434090927243233,
0.006577940657734871,
0.039773162454366684,
0.02729312889277935,
0.007846311666071415,
-0.03760674595832825,
-0.004020366817712784,
-0.033625729382038116,
0.11080195754766464,
-0.024663804098963737,
0.015276005491614342,
0.06106698885560036,
0.03866218030452728,
0.058511730283498764,
0.007638002745807171,
-0.024571223184466362,
0.04792036488652229,
0.0341256707906723,
0.05640086159110069,
-0.01724799908697605,
0.03368127718567848,
0.02190486527979374,
-0.0069066062569618225,
0.02131234109401703,
0.02910773456096649,
0.04617982730269432,
0.0005314776790328324,
-0.0007331325323320925,
-0.030589044094085693,
0.04329127445816994,
-0.06221500411629677,
0.004059714265167713,
0.003233421128243208,
0.015479685738682747,
0.06506652384996414,
-0.017988653853535652,
-0.03740306571125984,
-0.04540213942527771,
0.007526904344558716,
0.016118500381708145,
-0.049068380147218704,
0.004108319524675608,
0.014229830354452133,
-0.024867484346032143,
0.033255401998758316,
-0.039328768849372864,
-0.014146506786346436,
-0.015303779393434525,
0.007605598773807287,
-0.041328538209199905,
-0.0022520534694194794,
-0.019682900980114937,
0.014905678108334541,
-0.02342320792376995,
-0.0014836241025477648,
-0.04843882471323013,
0.025737755000591278,
-0.015701882541179657,
0.007545420899987221,
0.03208886831998825,
0.025256328284740448,
0.036866091191768646,
-0.022145578637719154,
0.016127757728099823,
-0.04577246680855751,
-0.02294178307056427,
0.001138756750151515,
-0.013155881315469742,
-0.009545188397169113,
-0.021960414946079254,
0.002550629898905754,
0.002640897175297141,
-0.02097904682159424,
0.0344959981739521,
0.005355860106647015,
0.0012741576647385955,
0.029644709080457687,
0.017460936680436134,
0.02655247412621975,
0.0014732086565345526,
-0.0036940157879143953,
0.03234810009598732,
0.020904982462525368,
-0.001045596320182085,
0.041032277047634125,
-0.029792839661240578,
-0.020275425165891647,
-0.02695983462035656,
-0.05414186790585518,
-0.030144650489091873,
0.013878019526600838,
0.02770048938691616,
0.010526556521654129,
0.04292094707489014,
-0.009461864829063416,
0.007929635234177113,
-0.02695983462035656,
-0.04617982730269432,
0.004492534324526787,
-0.0009397057583555579,
0.0018944561015814543,
-0.010795043781399727,
0.01863672584295273,
-0.012480033561587334,
-0.04740190878510475,
0.0008025689166970551,
-0.020812399685382843,
0.01554449275135994,
-0.035051487386226654,
-0.005911351181566715,
-0.005869689397513866,
-0.019312573596835136,
0.0023388490080833435,
0.029996519908308983,
0.021923381835222244,
0.04777223616838455,
-0.010221036151051521,
0.05740074813365936,
0.018497854471206665,
-0.029218832030892372,
-0.016609184443950653,
-0.018979279324412346,
0.02423792891204357,
-0.0022208071313798428,
-0.05325308069586754,
-0.006901977118104696,
0.042217325419187546,
0.016562892124056816,
0.05354934185743332,
0.007392660714685917,
-0.006564053241163492,
-0.026089565828442574,
0.007698181085288525,
-0.010508039966225624,
-0.009100795723497868,
0.021219760179519653,
0.00586506025865674,
0.050660789012908936,
-0.007605598773807287,
0.08391618728637695,
-0.0021397978998720646,
0.035236652940511703,
-0.014887161552906036,
-0.023626888170838356,
0.03368127718567848,
-0.03551439940929413,
-0.006017820443958044,
-0.03260732814669609,
0.02386760152876377,
0.014785321429371834,
0.024293476715683937,
0.010720978491008282,
-0.05377154052257538,
0.019275540485978127,
0.017692390829324722,
-0.0007337111746892333,
-0.013776179403066635,
0.035606980323791504,
-0.006522391457110643,
0.040921177715063095,
-0.03706977143883705,
-0.012683713808655739,
0.006670522503554821,
-0.011100564152002335,
-0.015961110591888428,
-0.0003749564930330962,
-0.007138060871511698,
-0.0030482574366033077,
0.00717509351670742,
-0.006415922194719315,
-0.058622825890779495,
-0.009832192212343216,
-0.032403647899627686,
-0.012933684512972832,
0.04592059925198555,
-0.004177756141871214,
0.04284688085317612,
-0.01444276887923479,
-0.021275309845805168,
0.009471123106777668,
-0.010517298243939877,
-0.025330394506454468,
0.037014223635196686,
0.005638234782963991,
-0.011591247282922268,
-0.06469620019197464,
0.0025089681148529053,
-0.020608719438314438,
-0.024497156962752342,
0.01167457178235054,
-0.008137945085763931,
0.02386760152876377,
0.02884850464761257,
0.03729197010397911,
0.03925470635294914,
-0.06173357740044594,
0.013766921125352383,
-0.010471006855368614,
-0.009193377569317818,
-0.041846998035907745,
0.06732552498579025,
-0.021090146154165268,
-0.0012949886731803417,
-0.03399605676531792,
0.02116421051323414,
-0.04555027186870575,
0.04884618520736694,
0.019923614338040352,
-0.018423788249492645,
-0.015072325244545937,
-0.023367658257484436,
0.010332134552299976,
-0.002849206328392029,
-0.006540907546877861,
0.00770743889734149,
0.0449947789311409,
0.0009391271159984171,
0.04717971011996269,
0.005976158659905195,
-0.007434322498738766,
0.0034347865730524063,
-0.039847228676080704,
0.03699570894241333,
-0.02699686773121357,
-0.002897811820730567,
0.01270222943276167,
-0.03294062241911888,
0.03295913711190224,
0.0026663572061806917,
0.025941435247659683,
-0.02670060470700264,
-0.022071512416005135,
-0.07432471215724945,
0.010702461935579777,
-0.04347643628716469,
-0.02183080092072487,
-0.01825714111328125,
-0.012387451715767384,
0.032922107726335526,
-0.005948383826762438,
0.04273578152060509,
0.017618326470255852,
-0.019053345546126366,
-0.05277165398001671,
-0.03008910082280636,
-0.004038883373141289,
0.012572615407407284,
-0.0030459428671747446,
0.005453071091324091,
0.016636958345770836,
-0.024774903431534767,
-0.020590202882885933,
-0.02755235880613327,
-0.024626772850751877,
-0.04373566433787346,
0.00458280136808753,
0.024756386876106262,
-0.039699096232652664,
-0.01862746849656105,
0.05580833926796913,
0.041846998035907745,
0.017951620742678642,
0.0031500975601375103,
-0.0453651063144207,
-0.03186667338013649,
-0.0011260267347097397,
-0.021627120673656464,
-0.012989233247935772,
-0.021238276734948158,
0.014998259954154491,
-0.024386059492826462,
0.007128802593797445,
-0.010517298243939877,
0.011239436455070972,
0.0037750250194221735,
-0.04658718779683113,
0.01676657237112522,
0.03075569123029709,
-0.023182494565844536,
0.02636731043457985,
0.015155648812651634,
-0.030552010983228683,
0.00476796505972743,
0.011646796949207783,
0.01617405004799366,
0.007841682992875576,
0.05332714691758156,
0.005041081923991442,
0.029070701450109482,
-0.05158660560846329,
0.01877559907734394,
-0.03995832800865173,
-0.018692275509238243,
0.03740306571125984,
0.0022208071313798428,
-0.039662063121795654,
0.008415690623223782,
0.02190486527979374,
0.017525743693113327,
0.02297881431877613,
0.04284688085317612,
0.0024233299773186445,
-0.00476796505972743,
0.003691701218485832,
-0.039291735738515854,
-0.04343940317630768,
0.003550513880327344,
0.0348663255572319,
-0.0009703735122457147,
-0.009813676588237286,
0.022849200293421745,
0.06321489065885544,
0.005068856291472912,
0.01545191090553999,
0.0020900352392345667,
-0.03814372047781944,
-0.01617405004799366,
0.029959486797451973,
0.009091537445783615,
-0.03840295225381851,
-0.011072789318859577,
-0.0009003584855236113,
-0.008661031723022461,
-0.014637190848588943,
0.003992592450231314,
-0.018905213102698326,
0.04332830756902695,
-0.015461169183254242,
-0.017905330285429955,
-0.008249042555689812,
0.004247192293405533,
-0.009989582002162933,
-0.006425180472433567,
-0.013461400754749775,
-0.0065964567475020885,
0.04651312157511711,
-0.00174748245626688,
-0.004170812200754881,
0.022664036601781845,
0.02360837161540985,
-0.03349611163139343,
-0.032107386738061905,
-0.025237811729311943,
0.029829872772097588,
0.021664153784513474,
0.0424024872481823,
-0.03510703891515732,
-0.01844230480492115,
0.041402604430913925,
0.01338733546435833,
-0.010683945380151272,
0.04525400698184967,
0.0542159304022789,
-0.017710907384753227,
0.003934728447347879,
0.005087372846901417,
0.01847933791577816,
0.007855569943785667,
0.03127414733171463,
-0.041402604430913925,
0.03479225933551788,
-0.022071512416005135,
-0.025274844840168953,
0.007943523116409779,
0.011165371164679527,
-0.00652702059596777,
-0.004379121586680412,
-0.0014408050337806344,
0.027904169633984566,
-0.013155881315469742,
0.003916212357580662,
-0.004244877956807613,
0.020608719438314438,
-0.04714267700910568,
0.022923266515135765,
0.014739030972123146,
-0.04369863495230675,
0.01095243263989687,
0.019849548116326332,
-0.00387223600409925,
0.025348911061882973,
-0.06554795056581497,
-0.02197893150150776,
-0.021701185032725334,
-0.029163282364606857,
-0.04369863495230675,
-0.01921999268233776,
0.030811239033937454,
-0.041032277047634125
] |
Large Language Models (LLMs) have excelled as high-level semantic planners
for sequential decision-making tasks. However, harnessing them to learn complex
low-level manipulation tasks, such as dexterous pen spinning, remains an open
problem. We bridge this fundamental gap and present Eureka, a human-level
reward design algorithm powered by LLMs. Eureka exploits the remarkable
zero-shot generation, code-writing, and in-context improvement capabilities of
state-of-the-art LLMs, such as GPT-4, to perform evolutionary optimization over
reward code. The resulting rewards can then be used to acquire complex skills
via reinforcement learning. Without any task-specific prompting or pre-defined
reward templates, Eureka generates reward functions that outperform expert
human-engineered rewards. In a diverse suite of 29 open-source RL environments
that include 10 distinct robot morphologies, Eureka outperforms human experts
on 83% of the tasks, leading to an average normalized improvement of 52%. The
generality of Eureka also enables a new gradient-free in-context learning
approach to reinforcement learning from human feedback (RLHF), readily
incorporating human inputs to improve the quality and the safety of the
generated rewards without model updating. Finally, using Eureka rewards in a
curriculum learning setting, we demonstrate for the first time, a simulated
Shadow Hand capable of performing pen spinning tricks, adeptly manipulating a
pen in circles at rapid speed. | [
0.04173886030912399,
-0.01245980802923441,
-0.02887004427611828,
-0.05067720264196396,
-0.015522386878728867,
-0.007486858405172825,
-0.02138817310333252,
0.022425659000873566,
-0.0592564158141613,
0.034097377210855484,
0.014095843769609928,
0.0070978011935949326,
0.013607028871774673,
-0.019712233915925026,
0.002459041541442275,
0.05183439701795578,
0.03802785277366638,
0.006324674468487501,
-0.05522618070244789,
-0.007930782623589039,
-0.009437132626771927,
-0.007481870707124472,
-0.04153934493660927,
0.0075566889718174934,
0.05003875121474266,
-0.017956489697098732,
0.011711621657013893,
-0.01226029172539711,
-0.0531512089073658,
0.05933622270822525,
0.0456094816327095,
0.019811993464827538,
0.016240647062659264,
0.035912979394197464,
-0.002685991581529379,
0.03321950510144234,
0.047365229576826096,
0.021208608523011208,
-0.03232168033719063,
0.033119745552539825,
-0.025238843634724617,
-0.028351301327347755,
-0.016829220578074455,
-0.04572919383645058,
0.024141501635313034,
-0.02354295179247856,
-0.024620341137051582,
-0.02066991478204727,
0.0006278536166064441,
-0.008708897046744823,
0.012310170568525791,
-0.021009093150496483,
0.04596861079335213,
-0.03102482296526432,
-0.014614586718380451,
0.037568964064121246,
0.04169895872473717,
-0.011801403947174549,
0.059535738080739975,
0.04959981516003609,
0.02270498313009739,
0.004167401697486639,
-0.04896136000752449,
-0.018385449424386024,
0.028590722009539604,
-0.07262402027845383,
0.002450312487781048,
0.021328318864107132,
0.07641483843326569,
0.004905613139271736,
-0.005312127992510796,
0.001140361768193543,
-0.05622376129031181,
0.020470397546887398,
-0.011561984196305275,
-0.014035988599061966,
0.041938379406929016,
0.02567777968943119,
0.03647162392735481,
-0.017298083752393723,
0.04385373741388321,
0.014963741414248943,
0.012529639527201653,
-0.014814103953540325,
0.09481026232242584,
-0.03447645902633667,
0.054029081016778946,
-0.0664789155125618,
0.03305989131331444,
-0.02731381542980671,
-0.02649579755961895,
0.02879023738205433,
-0.033857956528663635,
-0.01407589204609394,
-0.02270498313009739,
0.040202584117650986,
-0.0019914244767278433,
-0.018415376543998718,
-0.02346314676105976,
0.05027816817164421,
-0.017018761485815048,
-0.002173483371734619,
-0.008818631060421467,
-0.037329547107219696,
-0.05075700953602791,
-0.0017931549809873104,
-0.014285384677350521,
0.0032072283793240786,
-0.03240148723125458,
0.09193722158670425,
-0.009761347435414791,
-0.017258182168006897,
-0.012818938121199608,
0.015931395813822746,
-0.029987337067723274,
-0.01901392638683319,
-0.048841651529073715,
-0.0788489356637001,
0.05770018696784973,
-0.019442887976765633,
-0.007930782623589039,
0.029767869040369987,
0.06991060078144073,
-0.016978858038783073,
-0.026276329532265663,
0.029588304460048676,
-0.01464451476931572,
0.03489544242620468,
0.07118750363588333,
-0.000912164687179029,
-0.020300809293985367,
0.01266930066049099,
0.010973409749567509,
0.030885161831974983,
0.0370103195309639,
0.046367645263671875,
-0.04133982956409454,
0.028570769354701042,
-0.009861105121672153,
0.005047768820077181,
-0.04129992425441742,
-0.029328932985663414,
0.008529332466423512,
-0.04848252236843109,
-0.0029578327666968107,
-0.012210412882268429,
-0.014844031073153019,
0.06316693872213364,
0.007471894845366478,
-0.04756474494934082,
-0.035434138029813766,
0.07038943469524384,
-0.035992786288261414,
-0.012120630592107773,
0.028610672801733017,
-0.0009782545967027545,
-0.062089547514915466,
0.0019490272970870137,
-0.021926868706941605,
0.03752906247973442,
0.06476306915283203,
-0.0324413888156414,
-0.006130145862698555,
0.07709319144487381,
0.05726124718785286,
0.021428076550364494,
0.006748646963387728,
0.029727965593338013,
-0.08411617577075958,
0.05793960392475128,
-0.018116101622581482,
0.00008354755118489265,
0.022904500365257263,
-0.00429708743467927,
0.008943329565227032,
-0.010803820565342903,
0.04245712235569954,
0.04329508915543556,
-0.005716149229556322,
-0.01518320944160223,
-0.03473583236336708,
0.023064112290740013,
-0.0007431991398334503,
0.06779572367668152,
0.019931703805923462,
0.0301070474088192,
0.08451520651578903,
0.015223112888634205,
-0.0057809920981526375,
-0.039125192910432816,
-0.053111303597688675,
0.0065790582448244095,
-0.015123354271054268,
-0.029029658064246178,
0.035094961524009705,
-0.03834708034992218,
-0.04904116690158844,
0.03062579035758972,
-0.025119133293628693,
0.048682037740945816,
-0.034197136759757996,
-0.03002724051475525,
-0.020350687205791473,
-0.013367608189582825,
0.03840693458914757,
0.00900817196816206,
0.01151210442185402,
0.0005920029943808913,
-0.020370639860630035,
-0.016649655997753143,
0.022246094420552254,
-0.017258182168006897,
-0.08794689178466797,
-0.04852242395281792,
-0.020021485164761543,
-0.03758891671895981,
-0.03850669413805008,
0.048602230846881866,
-0.025059279054403305,
-0.054188694804906845,
-0.04229750856757164,
-0.007272378075867891,
0.03561370447278023,
-0.027533283457159996,
-0.03286037594079971,
0.01402601320296526,
-0.01835552230477333,
0.003404251066967845,
0.057141538709402084,
-0.018784482032060623,
-0.00963166169822216,
0.0005926265148445964,
0.001540018361993134,
0.029847675934433937,
0.0021971759852021933,
0.012310170568525791,
0.0003376193926669657,
-0.002093676710501313,
0.05478724464774132,
-0.029987337067723274,
-0.009681540541350842,
-0.05127575248479843,
-0.013168091885745525,
0.02460039034485817,
0.053031496703624725,
-0.005112611688673496,
0.0146943936124444,
0.02378237247467041,
0.043654222041368484,
-0.020550204440951347,
-0.04401335120201111,
-0.0027408585883677006,
-0.012559566646814346,
0.035254575312137604,
-0.039045389741659164,
0.025059279054403305,
0.0735417976975441,
-0.055904537439346313,
0.03874611482024193,
0.013447415083646774,
0.004524037707597017,
0.013986109755933285,
0.04983923211693764,
0.0230441614985466,
0.007836012169718742,
0.03333921357989311,
0.02188696525990963,
0.013477343134582043,
-0.01004067063331604,
-0.020270880311727524,
-0.024720100685954094,
-0.051794495433568954,
0.000821135297883302,
-0.02080957591533661,
0.003653646679595113,
-0.040621567517519,
0.010524497367441654,
-0.004384376108646393,
0.027114298194646835,
0.018704677000641823,
0.011811379343271255,
-0.026874879375100136,
0.0671173632144928,
0.03828722611069679,
0.008818631060421467,
-0.061770323663949966,
-0.035513944923877716,
-0.00437938841059804,
-0.03258105367422104,
0.033458925783634186,
0.03940451890230179,
0.0069332001730799675,
0.01205079909414053,
0.03158346936106682,
0.07625522464513779,
-0.002880520187318325,
-0.04684648662805557,
-0.005000383593142033,
-0.01685914769768715,
0.017956489697098732,
-0.002897977828979492,
-0.026515748351812363,
-0.011073168367147446,
0.015083450824022293,
-0.0166995357722044,
-0.009516939520835876,
-0.016998808830976486,
0.028071977198123932,
-0.03569351136684418,
-0.0009832425275817513,
0.03128419443964958,
0.037987951189279556,
-0.028989754617214203,
-0.03397766873240471,
-0.007227486930787563,
0.04325518757104874,
0.07940758764743805,
0.010863675735890865,
-0.024799907580018044,
0.018495183438062668,
0.027912365272641182,
0.010614280588924885,
-0.10813796520233154,
0.05323101580142975,
0.04832290858030319,
-0.0030650729313492775,
0.058059316128492355,
0.007062885910272598,
-0.022365804761648178,
-0.025737633928656578,
-0.05901699513196945,
-0.05139546096324921,
-0.014255457557737827,
-0.0019178527873009443,
0.009581781923770905,
-0.026396039873361588,
-0.03866630792617798,
0.014903886243700981,
-0.03529447689652443,
-0.04022253677248955,
-0.04540996626019478,
0.011891186237335205,
-0.03325940668582916,
-0.023403290659189224,
0.011412346735596657,
-0.0713072121143341,
0.0037783444859087467,
0.01925334706902504,
-0.04137973114848137,
0.0021423089783638716,
0.0012064515613019466,
0.012689252384006977,
-0.00209991168230772,
-0.01604112982749939,
0.02378237247467041,
-0.08004603534936905,
0.004035222344100475,
0.02230595052242279,
-0.04604841768741608,
0.05063730105757713,
0.033438973128795624,
-0.05067720264196396,
-0.037149980664253235,
0.029109464958310127,
-0.09457084536552429,
-0.03547404333949089,
-0.02064996212720871,
-0.009287495166063309,
0.0033443961292505264,
-0.006893296726047993,
-0.06699765473604202,
-0.024700148031115532,
0.023263629525899887,
-0.026056861504912376,
0.002274488564580679,
-0.019452862441539764,
-0.02080957591533661,
-0.004534013569355011,
-0.055665116757154465,
0.05307140201330185,
-0.004207305144518614,
0.012818938121199608,
0.0057809920981526375,
0.03687065839767456,
0.04153934493660927,
0.055026665329933167,
0.004376894328743219,
-0.031044773757457733,
0.006663852836936712,
0.013357632793486118,
0.00974638294428587,
-0.06923224031925201,
-0.08092391490936279,
0.008534320630133152,
0.017976440489292145,
0.025378504768013954,
0.03521467000246048,
-0.010200283490121365,
0.022585272789001465,
0.010195295326411724,
-0.03457621857523918,
0.022246094420552254,
0.00001650297963351477,
0.0050153471529483795,
-0.025538118556141853,
-0.010853700339794159,
-0.001538771321065724,
-0.048602230846881866,
-0.0022906993981450796,
-0.025717683136463165,
0.0067436592653393745,
-0.029189269989728928,
0.009681540541350842,
0.01835552230477333,
0.04004297032952309,
-0.004957986064255238,
0.014325288124382496,
0.014594634994864464,
0.03002724051475525,
-0.06189003214240074,
0.039125192910432816,
0.0371699333190918,
-0.008304876275360584,
0.0459287092089653,
-0.03399761766195297,
0.014873958192765713,
0.00013140034570824355,
0.02847101166844368,
-0.06165061146020889,
-0.029927482828497887,
0.008549284189939499,
0.017497600987553596,
0.025478262454271317,
-0.018784482032060623,
-0.009606721810996532,
-0.025218890979886055,
-0.015233088284730911,
0.053191110491752625,
-0.009147834032773972,
-0.007786133326590061,
-0.007816060446202755,
-0.010943482629954815,
-0.04509073868393898,
-0.08236043155193329,
0.03984345495700836,
0.0018866783939301968,
-0.029688062146306038,
-0.017377890646457672,
0.03086520917713642,
0.004656217526644468,
-0.03569351136684418,
0.013347657397389412,
-0.05506656691431999,
-0.03709012642502785,
0.0523531399667263,
-0.001511337817646563,
0.024241261184215546,
-0.02138817310333252,
0.01361700426787138,
-0.04888155311346054,
0.019402984529733658,
0.02946859411895275,
0.018046271055936813,
-0.07090818136930466,
0.044811416417360306,
-0.0011104342993348837,
0.006085254717618227,
0.003785826498642564,
0.018624870106577873,
0.06065303087234497,
-0.018664773553609848,
-0.07617541402578354,
0.0031448795925825834,
0.04556958004832268,
0.03489544242620468,
0.06296741962432861,
0.032720714807510376,
-0.034017570316791534,
0.009127882309257984,
0.018664773553609848,
0.017667191103100777,
-0.005357019137591124,
0.02871043048799038,
-0.04457199573516846,
0.03535433113574982,
-0.028411155566573143,
0.08531327545642853,
-0.02551816590130329,
0.02946859411895275,
-0.007431991398334503,
-0.039045389741659164,
0.0035563823767006397,
-0.027672944590449333,
0.018734604120254517,
0.013686834834516048,
-0.010863675735890865,
-0.015233088284730911,
-0.01884433813393116,
0.031064726412296295,
-0.02320377342402935,
0.007008018903434277,
-0.07003030925989151,
-0.018874265253543854,
0.00942216906696558,
-0.008254997432231903,
0.008743812330067158,
-0.024660244584083557,
0.012599470093846321,
-0.007890879176557064,
-0.015272991731762886,
0.01834554597735405,
-0.006968115456402302,
-0.019602499902248383,
0.005646318197250366,
-0.008733836933970451,
-0.015991251915693283,
0.01402601320296526,
0.05781989544630051,
0.03533438220620155,
0.022166287526488304,
-0.002700955141335726,
-0.000447665253886953,
-0.004464182537049055,
0.009197712875902653,
-0.04904116690158844,
0.06161070987582207,
0.024301115423440933,
0.01860491745173931,
0.05231323838233948,
0.019941678270697594,
-0.04289605841040611,
0.06548132747411728,
-0.021847061812877655,
-0.04732532426714897,
-0.029688062146306038,
-0.03110462985932827,
0.04082108661532402,
0.024301115423440933,
0.015861565247178078,
-0.02533860132098198,
-0.05522618070244789,
0.039364613592624664,
0.009871081449091434,
0.021248511970043182,
0.011741548776626587,
-0.04409315809607506,
0.047524839639663696,
-0.023303532972931862,
0.006474311929196119,
0.04074127972126007,
-0.018126077950000763,
-0.01819590851664543,
-0.008654030039906502,
-0.004790890961885452,
-0.01695890724658966,
-0.0460883229970932,
-0.03858650103211403,
-0.009048075415194035,
0.004010282456874847,
-0.032720714807510376,
0.0038656331598758698,
0.005137551110237837,
-0.017088592052459717,
0.007207535207271576,
0.022744886577129364,
-0.03102482296526432,
0.06891301274299622,
0.0465671606361866,
0.02839120477437973,
-0.0006203717784956098,
-0.021867012605071068,
0.01620074361562729,
-0.029348883777856827,
-0.00703794602304697,
-0.014175650663673878,
0.025697730481624603,
-0.027214057743549347,
-0.013058357872068882,
-0.08307868987321854,
-0.02220619097352028,
-0.007716302294284105,
-0.04353450983762741,
-0.01069408655166626,
0.030585886910557747,
0.016021179035305977,
-0.027932316064834595,
-0.044891223311424255,
-0.004656217526644468,
0.025278747081756592,
0.010584352537989616,
-0.03790814429521561,
0.05063730105757713,
-0.009661588817834854,
-0.01082377228885889,
-0.018974022939801216,
-0.026675362139940262,
0.015741854906082153,
0.015233088284730911,
0.03718988597393036,
-0.08682960271835327,
0.005366994999349117,
0.009152821265161037,
0.03760886937379837,
0.028032075613737106,
-0.00755170127376914,
0.005815907381474972,
0.023343436419963837,
-0.005995472427457571,
0.02098914049565792,
-0.01435521524399519,
0.013497293926775455,
0.023842226713895798,
0.015173233114182949,
-0.012818938121199608,
0.049001265317201614,
-0.03274066373705864,
-0.029348883777856827,
-0.010644207708537579,
0.010145416483283043,
-0.03407742455601692,
-0.015372750349342823,
-0.016430187970399857,
0.0043943519704043865,
-0.02773280069231987,
-0.007801096886396408,
0.04080113396048546,
-0.011372443288564682,
-0.06859378516674042,
0.016480065882205963,
0.01744772121310234,
-0.009227639995515347,
-0.0014801634242758155,
-0.05738095939159393,
-0.007427003234624863,
0.014804127626121044,
0.013327705673873425,
-0.010733989998698235,
0.038706209510564804,
-0.0012638126499950886,
0.03126424178481102,
-0.05841844528913498,
0.04066147282719612,
0.025777537375688553,
0.023842226713895798,
-0.02088938280940056,
-0.007127728778868914,
0.007486858405172825,
0.034037522971630096,
0.06033380329608917,
0.02034071274101734,
-0.02172735147178173,
0.007008018903434277,
0.024301115423440933,
0.06979088485240936,
-0.06364578008651733,
-0.02821164019405842,
0.019053829833865166,
-0.022345853969454765,
-0.03495530039072037,
-0.001123527530580759,
0.027513332664966583,
0.0234431941062212,
0.001977707725018263,
-0.012419904582202435,
0.03800790384411812,
-0.023722518235445023,
0.0024129031226038933,
0.03812761232256889,
0.006878333166241646,
0.027333766222000122,
-0.005701185204088688,
-0.01843532919883728,
-0.015143305994570255,
0.044811416417360306,
0.029648158699274063,
-0.007317269220948219,
0.019113685935735703,
0.030186854302883148,
0.019622452557086945,
0.04048190638422966,
-0.014165674336254597,
-0.014913861639797688,
0.038227371871471405,
-0.0470460020005703,
-0.02789241261780262,
-0.011671718209981918,
0.015901468694210052,
0.027034491300582886,
-0.05514637380838394,
-0.019472815096378326,
-0.050796911120414734,
-0.0051175993867218494,
-0.018086174502968788,
0.00660399766638875,
0.029229173436760902,
0.02418140508234501,
-0.04137973114848137,
-0.022565321996808052,
0.034755781292915344,
-0.008614126592874527,
-0.04000306874513626,
0.007960709743201733,
-0.03214211389422417,
-0.011552007868885994,
0.06979088485240936,
0.024899665266275406,
0.004753481596708298,
0.04269653931260109,
-0.007531749550253153,
-0.006494263652712107,
0.02180715836584568,
0.032720714807510376,
-0.021607641130685806,
0.032062310725450516,
0.00839964672923088,
-0.014315311796963215,
0.027214057743549347,
0.007576640695333481,
-0.041260022670030594,
0.0338779091835022,
-0.0009470800869166851,
0.018714651465415955,
0.015602193772792816,
-0.07477880269289017,
-0.014145723544061184,
0.03587307408452034,
0.041938379406929016,
0.00120395771227777,
0.04038215056061745,
-0.01785673014819622,
0.0525127537548542,
-0.0324413888156414,
-0.006903272587805986,
0.019323177635669708,
-0.007676399312913418,
-0.004696120508015156,
0.010394811630249023,
0.022724933922290802,
0.01234009861946106,
-0.04213789477944374,
-0.003324444405734539,
-0.025877296924591064,
0.03441660478711128,
-0.0012569542741402984,
0.018714651465415955,
-0.006050339434295893,
-0.0005820271908305585,
0.042656637728214264,
0.011252732947468758,
-0.014165674336254597,
0.07505812495946884,
-0.016340404748916626,
0.05135555937886238,
0.007441967260092497,
-0.044133059680461884,
-0.0081901540979743,
0.02172735147178173,
-0.04712580889463425,
0.011033264920115471,
0.0010929765412583947,
0.03052603080868721,
0.038546595722436905,
-0.0010624255519360304,
0.004312051460146904,
0.0297878198325634,
0.019702259451150894,
0.032620955258607864,
0.010993361473083496,
0.0014065916184335947,
0.027613090351223946,
0.017796875908970833,
-0.030166901648044586,
0.06755629926919937,
-0.049998845905065536,
-0.010644207708537579,
-0.04684648662805557,
-0.001391627942211926,
-0.027533283457159996,
-0.04896136000752449,
0.011611863039433956,
-0.02154778689146042,
0.007412039674818516,
-0.006858381442725658,
0.040202584117650986,
-0.03848674148321152,
0.02517898753285408,
-0.007970686070621014,
-0.024500632658600807,
0.007407051976770163,
-0.02032076008617878,
-0.009482024237513542,
-0.05638337507843971,
0.008035528473556042,
0.06348616629838943,
0.0460883229970932,
-0.006185012869536877,
0.01596132293343544,
0.013297777622938156,
-0.004294593818485737,
-0.04034224525094032,
0.03214211389422417,
0.01572190411388874,
-0.003915512003004551,
0.03900548443198204,
-0.029568351805210114,
-0.0032122163102030754,
0.00046948736417107284,
-0.008953304961323738,
0.029249126091599464,
0.024740051478147507,
-0.024999422952532768,
0.036990366876125336,
0.005476729013025761,
-0.010324981063604355,
-0.010110501199960709,
-0.049081072211265564,
0.030805354937911034,
0.012020871974527836,
0.03571346029639244,
-0.02410159818828106,
-0.014534780755639076,
-0.020769672468304634,
-0.01990177482366562,
0.03146376088261604,
-0.018654797226190567,
-0.012948623858392239,
0.011911137960851192,
0.027712848037481308,
0.015332846902310848,
0.001180265098810196,
0.0324413888156414,
0.0022171277087181807,
0.013337681069970131,
0.006394505500793457,
-0.013836472295224667,
0.023682614788413048,
0.02138817310333252,
0.010225223377346992,
0.008130298927426338,
0.05307140201330185,
-0.01793653704226017,
-0.006773586850613356,
0.018415376543998718,
-0.02847101166844368,
-0.02887004427611828,
-0.016190767288208008,
-0.03166327625513077,
-0.0115220807492733,
-0.04840271547436714,
0.00775620574131608,
0.04864213243126869,
-0.0002470575855113566,
0.019682306796312332,
-0.00429708743467927,
-0.015372750349342823,
0.017796875908970833,
0.018046271055936813,
0.04856232926249504,
-0.0265756044536829,
-0.026276329532265663,
-0.05949583277106285,
-0.017058664932847023,
0.0031274219509214163,
-0.017328012734651566,
0.04533015936613083,
-0.029408739879727364,
0.03940451890230179,
-0.011791427619755268,
0.007811072748154402,
-0.0655212327837944,
0.004646241664886475,
0.05019836127758026,
-0.06025399640202522,
0.02246556244790554,
0.0012020871508866549,
0.04880174621939659,
-0.015981275588274002,
-0.025139084085822105,
-0.013646931387484074,
-0.01613091304898262,
0.011053216643631458,
0.037409354001283646,
0.0022670067846775055,
-0.020450446754693985,
0.03274066373705864,
-0.018824385479092598,
-0.007960709743201733,
-0.023084064945578575,
-0.01579173468053341,
-0.057899702340364456,
-0.01926332339644432,
0.026396039873361588,
-0.039204999804496765,
-0.01744772121310234,
0.01563212089240551,
0.008215093985199928,
-0.012290218845009804,
-0.021747304126620293,
-0.003297010902315378,
0.044133059680461884,
0.03601273521780968,
-0.0051924181170761585,
0.0073471968062222,
-0.02146797999739647,
0.021507883444428444,
-0.0019465333316475153,
0.02541840821504593,
0.002800713526085019,
0.06352607160806656,
-0.013347657397389412,
-0.009082990698516369,
-0.016739437356591225,
0.05546560138463974,
-0.043654222041368484,
-0.005930629558861256,
-0.02493956871330738,
0.005606414750218391,
-0.03990330919623375,
0.032461341470479965,
-0.0017657214775681496,
-0.0035139850806444883,
0.03298008441925049,
-0.023722518235445023,
0.029308980330824852,
-0.04548977315425873,
0.010210258886218071,
-0.009078002534806728,
0.03284042328596115,
-0.016809269785881042,
-0.04329508915543556,
-0.05366995185613632,
0.019472815096378326,
0.011422322131693363,
0.025298697873950005,
0.021428076550364494,
-0.028171736747026443,
-0.012709204107522964,
-0.02723400853574276,
-0.0028381228912621737,
0.002173483371734619,
-0.02476000413298607,
0.0004168025334365666,
-0.023842226713895798,
0.01381652057170868,
-0.0055465600453317165,
0.00193905143532902,
0.03036641888320446,
0.037409354001283646,
0.014724320732057095,
0.02781260572373867,
-0.009392241016030312,
-0.010000767186284065,
-0.010674134828150272,
0.00576104037463665,
-0.030386369675397873,
0.01728810928761959,
0.017258182168006897,
-0.016330428421497345,
-0.009362313896417618,
0.025398455560207367,
-0.013447415083646774,
0.021448029205203056,
-0.06492268294095993,
-0.03002724051475525,
-0.005152514670044184,
-0.00022523547522723675,
-0.04896136000752449,
-0.07625522464513779,
-0.021368222311139107,
0.030406322330236435,
-0.012350074015557766,
-0.0010636725928634405,
-0.01743774674832821,
0.01803629659116268,
0.02122856117784977,
0.021029043942689896,
-0.011980968527495861,
0.0007787380018271506,
-0.031044773757457733,
0.01759735867381096,
0.01999155804514885,
-0.032062310725450516,
0.02024095319211483,
0.02485976181924343,
0.0167793408036232,
-0.006369565613567829,
0.010235198773443699,
0.007082837168127298,
-0.014395118691027164,
0.0070978011935949326,
-0.01868472434580326,
-0.006658864673227072,
0.022405708208680153,
-0.043654222041368484,
-0.03555385023355484,
0.03152361512184143,
-0.01015539187937975,
-0.022365804761648178,
0.02370256558060646,
0.005686221644282341,
-0.030506080016493797,
0.0034416604321449995,
-0.023922033607959747,
0.024380922317504883,
-0.0050153471529483795,
0.004067643545567989,
0.018425352871418,
0.02428116463124752,
0.0032895291224122047,
0.04169895872473717,
0.01810612715780735,
0.013836472295224667,
0.028012122958898544,
0.009157809428870678,
-0.011561984196305275,
0.007746229879558086,
0.014035988599061966,
-0.007122740615159273,
-0.0013018454192206264,
0.013726738281548023,
0.02707439474761486,
-0.025977054610848427,
0.03728964179754257,
-0.03629206120967865
] |
Tool use is a hallmark of advanced intelligence, exemplified in both animal
behavior and robotic capabilities. This paper investigates the feasibility of
imbuing robots with the ability to creatively use tools in tasks that involve
implicit physical constraints and long-term planning. Leveraging Large Language
Models (LLMs), we develop RoboTool, a system that accepts natural language
instructions and outputs executable code for controlling robots in both
simulated and real-world environments. RoboTool incorporates four pivotal
components: (i) an "Analyzer" that interprets natural language to discern key
task-related concepts, (ii) a "Planner" that generates comprehensive strategies
based on the language input and key concepts, (iii) a "Calculator" that
computes parameters for each skill, and (iv) a "Coder" that translates these
plans into executable Python code. Our results show that RoboTool can not only
comprehend explicit or implicit physical constraints and environmental factors
but also demonstrate creative tool use. Unlike traditional Task and Motion
Planning (TAMP) methods that rely on explicit optimization, our LLM-based
system offers a more flexible, efficient, and user-friendly solution for
complex robotics tasks. Through extensive experiments, we validate that
RoboTool is proficient in handling tasks that would otherwise be infeasible
without the creative use of tools, thereby expanding the capabilities of
robotic systems. Demos are available on our project page:
https://creative-robotool.github.io/. | [
-0.007561611011624336,
-0.048977553844451904,
-0.02800319716334343,
-0.027853647246956825,
0.00476456293836236,
0.03989240527153015,
0.031611084938049316,
0.012992138043045998,
-0.06998930126428604,
0.07821454107761383,
0.035891950130462646,
0.03405996412038803,
-0.002645161934196949,
0.014048333279788494,
0.0036779900547116995,
0.05925910174846649,
-0.008117749355733395,
0.011019949801266193,
-0.021535169333219528,
-0.06647487729787827,
0.004813633859157562,
0.03658361732959747,
-0.05196855217218399,
0.017730996012687683,
0.06505415588617325,
-0.004278526175767183,
0.011262968182563782,
-0.03267662972211838,
-0.010748891159892082,
0.022656792774796486,
0.03708834573626518,
-0.007098941598087549,
-0.018787192180752754,
-0.007659753318876028,
0.027049817144870758,
-0.015226038172841072,
0.048379357904195786,
0.052641525864601135,
-0.0692041665315628,
0.04052799195051193,
-0.011113418266177177,
-0.07851363718509674,
-0.024189678952097893,
-0.057539280503988266,
0.012337857857346535,
-0.03351784497499466,
-0.02060048282146454,
-0.02747977338731289,
-0.004724838770925999,
0.02843315340578556,
0.026788106188178062,
-0.0235167033970356,
0.07357849925756454,
-0.024544859305024147,
0.029610857367515564,
0.020469626411795616,
0.03996717929840088,
-0.004121966194361448,
0.03611627221107483,
0.007169043179601431,
0.021086519584059715,
0.003612562082707882,
-0.05548297241330147,
-0.01676826924085617,
0.013618377968668938,
-0.07597129046916962,
0.0570906326174736,
-0.016927165910601616,
0.03312527760863304,
0.00015962687029968947,
-0.020563095808029175,
-0.017347775399684906,
-0.06269875168800354,
-0.020282689481973648,
0.014179189689457417,
0.05529603362083435,
0.05017395317554474,
0.02207728661596775,
-0.011963983066380024,
-0.009029068052768707,
0.0027783545665442944,
0.05365098640322685,
0.02989126369357109,
-0.030171670019626617,
0.04654737189412117,
-0.03114374354481697,
0.007225124165415764,
-0.05166945233941078,
0.04976269230246544,
-0.028788333758711815,
-0.029124820604920387,
0.05600639432668686,
-0.003949048928916454,
0.026489006355404854,
-0.014123108237981796,
-0.0009644792880862951,
-0.02738630399107933,
-0.026844186708331108,
-0.032844871282577515,
0.017824465408921242,
-0.019721878692507744,
0.009945061057806015,
-0.01509518176317215,
-0.034302983433008194,
0.0029349145479500294,
-0.02583472616970539,
-0.021796882152557373,
0.004907102324068546,
-0.026526393368840218,
0.08987942337989807,
-0.04351898655295372,
-0.02622729353606701,
-0.0235167033970356,
0.016534598544239998,
0.006954065058380365,
0.0026498353108763695,
-0.04834196716547012,
-0.07279335707426071,
0.014300698414444923,
-0.03903249651193619,
0.00864117406308651,
0.014403513632714748,
0.04419196397066116,
-0.03869600594043732,
-0.04000457003712654,
0.0530901737511158,
-0.03740613907575607,
-0.0023881231900304556,
0.0372752845287323,
0.04654737189412117,
-0.055557746440172195,
0.00279938499443233,
-0.01977795921266079,
0.029517389833927155,
0.023404542356729507,
0.019553635269403458,
-0.0015971449902281165,
0.005776360630989075,
-0.03009689413011074,
0.011375131085515022,
-0.060567665845155716,
-0.027947116643190384,
-0.05989468842744827,
0.009286107495427132,
-0.028377072885632515,
0.012263082899153233,
-0.055333420634269714,
0.07627039402723312,
-0.017459938302636147,
0.049912240356206894,
-0.04370592534542084,
-0.02841445989906788,
-0.028264909982681274,
0.031723249703645706,
-0.013394053094089031,
-0.011122765019536018,
-0.028152747079730034,
0.028582703322172165,
-0.02736761048436165,
0.026713330298662186,
0.07081182301044464,
-0.03394780308008194,
0.038079116493463516,
0.023984046652913094,
0.06415686011314392,
-0.009804857894778252,
0.037630464881658554,
0.04550052434206009,
-0.052828460931777954,
0.04187393933534622,
-0.03101288713514805,
0.023684946820139885,
0.03673316538333893,
-0.02508697658777237,
0.010795624926686287,
-0.009566512890160084,
-0.00796352606266737,
0.01426331140100956,
0.029311757534742355,
-0.017469285055994987,
-0.02009575255215168,
0.010646075941622257,
0.05574468523263931,
0.018665682524442673,
0.037742625921964645,
0.05174422636628151,
0.07686859369277954,
0.038153890520334244,
0.02590950019657612,
0.0014534370275214314,
-0.038583844900131226,
0.010655422694981098,
-0.017525365576148033,
-0.028769640251994133,
0.0378921777009964,
-0.05922171473503113,
-0.027853647246956825,
-0.007996240630745888,
-0.01895543560385704,
0.05006179213523865,
-0.07174651324748993,
-0.044528450816869736,
0.0004019150510430336,
-0.020656565204262733,
0.022525936365127563,
-0.0029956691432744265,
-0.014394166879355907,
0.00741673493757844,
0.017516018822789192,
-0.06423163414001465,
0.07021362334489822,
-0.004883735440671444,
-0.038995105773210526,
-0.051183413714170456,
-0.006411947309970856,
-0.022451162338256836,
-0.01420722994953394,
-0.017992708832025528,
-0.021385619416832924,
-0.023815803229808807,
-0.028339684009552002,
-0.0034022575709968805,
0.040341056883335114,
-0.02645161934196949,
-0.032433610409498215,
-0.00681853573769331,
0.00859443936496973,
-0.0023507357109338045,
0.011412518098950386,
0.02469440922141075,
0.024937426671385765,
0.051183413714170456,
0.053576212376356125,
-0.006683005951344967,
0.011113418266177177,
0.025685176253318787,
0.04060276597738266,
-0.03372347727417946,
0.002024763962253928,
0.018086178228259087,
0.03574239835143089,
0.01093582808971405,
-0.0007278868579305708,
-0.03392910957336426,
0.07155957072973251,
-0.014347433112561703,
0.030377300456166267,
0.0075803049840033054,
0.01453437004238367,
0.010627381503582,
-0.028713559731841087,
0.03600411117076874,
0.004790266510099173,
0.0308072566986084,
-0.05365098640322685,
0.008346747606992722,
0.05611855909228325,
-0.020432239398360252,
0.024750489741563797,
-0.01041240431368351,
0.024544859305024147,
0.05006179213523865,
0.02458224631845951,
0.00593993067741394,
-0.014291351661086082,
0.00739336758852005,
-0.004561268724501133,
-0.02948000282049179,
-0.006949391681700945,
0.008094382472336292,
-0.02893788367509842,
-0.0249000396579504,
-0.03445253148674965,
0.009823551401495934,
-0.017730996012687683,
-0.07032578438520432,
0.009304801002144814,
-0.006846575997769833,
0.06456811726093292,
-0.03196626901626587,
0.003874274203553796,
-0.021385619416832924,
0.06901722401380539,
0.023703642189502716,
0.01602986827492714,
-0.01831984892487526,
-0.05458567291498184,
0.0062250099144876,
-0.04437889903783798,
0.014768041670322418,
-0.03873339667916298,
0.04434151202440262,
-0.010917134582996368,
0.0050753457471728325,
0.0416870042681694,
0.014169842004776001,
-0.019815346226096153,
-0.026918962597846985,
0.0107301976531744,
0.04239736497402191,
-0.032134510576725006,
-0.014085720293223858,
0.012113532982766628,
-0.004645390436053276,
-0.029012659564614296,
0.009318821132183075,
0.009187964722514153,
0.03579847887158394,
-0.02540476992726326,
-0.0030470769852399826,
0.04688385874032974,
0.029610857367515564,
-0.050772152841091156,
0.0069353715516626835,
-0.0067250668071210384,
0.06987714022397995,
0.020133139565587044,
-0.045463137328624725,
-0.03609757870435715,
-0.007561611011624336,
-0.029835183173418045,
0.01395486481487751,
-0.13788489997386932,
0.044079799205064774,
0.03609757870435715,
0.008094382472336292,
0.07256903499364853,
0.042659077793359756,
0.008968314155936241,
-0.048977553844451904,
-0.043668538331985474,
-0.021591249853372574,
-0.02852662280201912,
0.016908472403883934,
-0.008131769485771656,
-0.04007934406399727,
-0.0470334067940712,
0.01831050217151642,
-0.03250838443636894,
-0.06718524545431137,
0.008351420983672142,
-0.057015854865312576,
0.024657022207975388,
-0.00012223942030686885,
0.03405996412038803,
-0.0701388493180275,
0.00070568808587268,
0.03757438436150551,
-0.04393025115132332,
0.046285659074783325,
0.00125598453450948,
-0.05705324560403824,
0.001770061906427145,
-0.032657936215400696,
0.010487179271876812,
-0.04542574658989906,
0.004841674584895372,
-0.01833854243159294,
-0.06632532924413681,
0.0607919879257679,
-0.0003265559789724648,
-0.041612230241298676,
-0.025872113183140755,
-0.0005427021533250809,
-0.07245687395334244,
-0.03262054920196533,
-0.05137035250663757,
-0.009655307978391647,
-0.03862123191356659,
-0.028975270688533783,
-0.024414002895355225,
0.00833272747695446,
0.04183655232191086,
-0.03475163131952286,
0.002750314073637128,
-0.0007623534183949232,
0.027666710317134857,
-0.0026358149480074644,
0.022208143025636673,
0.046996019780635834,
0.0235167033970356,
-0.007589651737362146,
-0.01729169487953186,
0.05271629989147186,
-0.035873256623744965,
0.06980236619710922,
-0.005033284891396761,
-0.044005025178194046,
-0.026788106188178062,
0.0657271295785904,
0.05469783395528793,
-0.02278764918446541,
-0.070437952876091,
-0.02093696966767311,
0.028769640251994133,
0.008234585635364056,
0.010290894657373428,
-0.02540476992726326,
0.013104300014674664,
-0.02134823240339756,
-0.013861396349966526,
0.006136214826256037,
-0.008253279142081738,
0.007575631607323885,
0.019815346226096153,
-0.02476918324828148,
-0.012141573242843151,
-0.013609030283987522,
-0.00021541595924645662,
0.020469626411795616,
-0.02886310964822769,
-0.01030024141073227,
-0.0062530506402254105,
-0.00003435702092247084,
0.01616072468459606,
-0.020693952217698097,
0.014356779865920544,
0.025479545816779137,
0.022881116718053818,
-0.0429207906126976,
0.01477738842368126,
0.0030564237385988235,
-0.0021965124178677797,
0.04598655924201012,
-0.02841445989906788,
0.03527505695819855,
-0.017422549426555634,
0.037125736474990845,
-0.05323972553014755,
-0.05985730141401291,
0.0657271295785904,
0.030900724232196808,
0.04277123883366585,
-0.008169157430529594,
0.03996717929840088,
-0.011842473410069942,
0.018684376031160355,
0.04527619853615761,
-0.022731568664312363,
0.019422778859734535,
-0.006449334789067507,
-0.0067624542862176895,
-0.020768726244568825,
-0.0778406634926796,
-0.05353882536292076,
-0.04841674491763115,
-0.019927509129047394,
-0.016385048627853394,
0.04030366614460945,
-0.06329695135354996,
-0.0599694661796093,
0.005841788370162249,
-0.06894244998693466,
0.010776931419968605,
0.03424690291285515,
-0.02207728661596775,
0.016581332311034203,
-0.003965406212955713,
-0.049500979483127594,
-0.08591635525226593,
0.046061333268880844,
0.04916449263691902,
-0.0011409013532102108,
-0.009001027792692184,
0.014768041670322418,
-0.009692695923149586,
-0.018170299008488655,
-0.0026965695433318615,
0.010692809708416462,
0.03344307094812393,
-0.020077059045433998,
-0.019310615956783295,
0.017646875232458115,
0.044079799205064774,
-0.02312413603067398,
-0.01696455478668213,
0.01536624040454626,
-0.0631473958492279,
0.039406370371580124,
-0.02727414295077324,
0.003364870324730873,
-0.06434379518032074,
0.026395536959171295,
-0.06146496161818504,
0.06770866364240646,
0.0008505643927492201,
-0.009323494508862495,
-0.04602394625544548,
0.014328738674521446,
-0.009832898154854774,
0.02000228501856327,
-0.03205973654985428,
-0.0062997848726809025,
0.009272086434066296,
0.006739087402820587,
-0.009099169634282589,
-0.0676712766289711,
-0.03695749118924141,
0.010608687996864319,
-0.012235041707754135,
-0.008935599587857723,
-0.017039328813552856,
-0.041088804602622986,
0.005042632110416889,
-0.0183291956782341,
0.017235612496733665,
-0.02239507995545864,
0.025685176253318787,
0.004654737189412117,
-0.0420982651412487,
-0.0001632779894862324,
-0.028059279546141624,
-0.011347089894115925,
-0.008860824629664421,
0.028713559731841087,
-0.0032480345107614994,
0.03697618469595909,
-0.020768726244568825,
0.045463137328624725,
0.021105213090777397,
0.018796538934111595,
0.02032007835805416,
0.007697140797972679,
0.03230275586247444,
-0.03413473814725876,
0.034714244306087494,
0.02218944951891899,
0.03434037044644356,
0.01636635512113571,
-0.009552492760121822,
0.006617578212171793,
0.06729740649461746,
-0.027573242783546448,
-0.01370249968022108,
-0.003635929198935628,
-0.04434151202440262,
0.056903693825006485,
0.016497211530804634,
-0.0385090708732605,
-0.02768540382385254,
-0.02686288021504879,
0.028657477349042892,
0.012421979568898678,
0.06606362015008926,
0.008753336034715176,
-0.0022923178039491177,
0.030900724232196808,
-0.026601169258356094,
-0.020077059045433998,
-0.015338200144469738,
-0.01395486481487751,
0.028302296996116638,
0.006150234956294298,
0.00796819943934679,
-0.0158148892223835,
0.001995554892346263,
-0.003184943227097392,
-0.03906988352537155,
-0.06382036954164505,
-0.0072484915144741535,
0.004248148761689663,
0.006603557616472244,
-0.01370249968022108,
-0.011076031252741814,
0.032975729554891586,
-0.054099634289741516,
0.054922159761190414,
0.027947116643190384,
0.022638099268078804,
0.03591064363718033,
-0.002467571524903178,
-0.016011174768209457,
0.00858509261161089,
0.029124820604920387,
-0.0017934291390702128,
0.014655878767371178,
-0.010533913038671017,
0.00042206922080367804,
-0.025161752477288246,
-0.0014768041437491775,
-0.02977910079061985,
-0.026844186708331108,
-0.03155500441789627,
0.05174422636628151,
-0.006683005951344967,
0.03465816378593445,
-0.035891950130462646,
-0.007491509895771742,
0.013618377968668938,
0.002906874055042863,
-0.0009884305763989687,
0.01685239188373089,
-0.01966579630970955,
0.02383449673652649,
0.004432749003171921,
0.023909272626042366,
0.02374102920293808,
-0.010533913038671017,
0.0214603953063488,
-0.06617578119039536,
-0.02020791545510292,
0.052118100225925446,
0.033461764454841614,
0.021404312923550606,
-0.022002512589097023,
-0.027891036123037338,
0.008837457746267319,
-0.000347002234775573,
-0.011141459457576275,
0.04531358554959297,
-0.027834953740239143,
0.004790266510099173,
0.02321760542690754,
0.005070672370493412,
0.04684647172689438,
-0.02862009033560753,
-0.024133596569299698,
0.007870057597756386,
-0.022152062505483627,
-0.006907330825924873,
-0.01187986135482788,
-0.021909043192863464,
0.005117406602948904,
-0.02291850559413433,
-0.0021556199062615633,
0.04078970476984978,
-0.017637528479099274,
-0.04729511961340904,
0.01446894183754921,
0.027124593034386635,
-0.010776931419968605,
0.02175949327647686,
-0.01927322894334793,
-0.0037364079616963863,
0.04381808638572693,
0.009122537449002266,
-0.004902428947389126,
0.050248727202415466,
0.003238687524572015,
-0.005687565542757511,
0.006285764742642641,
0.002759660826995969,
-0.01370249968022108,
0.070437952876091,
-0.008141116239130497,
0.05776360630989075,
0.014637185260653496,
0.03404127061367035,
0.07402714341878891,
0.0339851900935173,
-0.012113532982766628,
-0.011412518098950386,
-0.010029182769358158,
0.06475505977869034,
-0.034003883600234985,
-0.00141137617174536,
0.03574239835143089,
-0.010683462955057621,
-0.035574156790971756,
0.015123222023248672,
0.041799165308475494,
0.029928650707006454,
0.008033627644181252,
-0.025012202560901642,
0.022750262171030045,
-0.03985501825809479,
0.02987257018685341,
0.02519913949072361,
-0.017413202673196793,
0.016843045130372047,
0.00651008915156126,
-0.01625419221818447,
-0.028395766392350197,
0.013730539940297604,
-0.0010521061485633254,
-0.008776702918112278,
0.015786848962306976,
0.03372347727417946,
0.027199367061257362,
0.011337743140757084,
-0.02469440922141075,
-0.002330873627215624,
-0.020263995975255966,
-0.0025213160552084446,
0.004626696463674307,
-0.012421979568898678,
-0.024208372458815575,
0.0006455176626332104,
-0.0462108850479126,
0.03486379608511925,
-0.035237669944763184,
0.020039672031998634,
-0.042434751987457275,
0.044528450816869736,
-0.007781262509524822,
0.01893674209713936,
-0.033461764454841614,
-0.03955591842532158,
0.062100548297166824,
-0.02570386976003647,
-0.053277112543582916,
-0.010459138080477715,
-0.0020492994226515293,
-0.056604593992233276,
0.005869829095900059,
0.02467571571469307,
-0.007318592630326748,
0.007505530025810003,
-0.020226608961820602,
-0.002474581589922309,
0.01989012211561203,
0.05204332619905472,
0.0014627838972955942,
0.009547819383442402,
0.03396649658679962,
0.028358379378914833,
0.0385090708732605,
0.002535336185246706,
-0.01699259504675865,
0.03824735805392265,
-0.003995783627033234,
0.02205859310925007,
0.039294205605983734,
-0.06677398085594177,
-0.027853647246956825,
0.03000342659652233,
-0.004846347961574793,
-0.014646532014012337,
-0.0019231168553233147,
-0.020675258710980415,
0.006243703421205282,
-0.04011673107743263,
-0.01844135858118534,
0.015319506637752056,
-0.00021702244703192264,
-0.00011654368427116424,
0.04781854525208473,
0.023068055510520935,
-0.0074073877185583115,
-0.022320305928587914,
0.02893788367509842,
-0.0255169328302145,
0.04228520393371582,
-0.011739658191800117,
0.01851613260805607,
-0.0030330566223710775,
-0.03729397803544998,
0.030265137553215027,
0.04351898655295372,
-0.017534712329506874,
0.08464518189430237,
-0.009351534768939018,
0.02602166309952736,
-0.0043836780823767185,
-0.008711274713277817,
0.004012140445411205,
0.05017395317554474,
0.011795739643275738,
0.01771230250597,
-0.0073606534861028194,
0.0015831247437745333,
0.047220345586538315,
-0.0039677429012954235,
0.0035144200082868338,
0.06954064965248108,
-0.034321676939725876,
0.009445004165172577,
0.01771230250597,
0.01874045841395855,
-0.007234470918774605,
0.02091827616095543,
-0.016085948795080185,
0.03843429684638977,
0.0011438222136348486,
0.005678218323737383,
-0.03490118309855461,
-0.015272771939635277,
0.0033555233385413885,
-0.05047305300831795,
-0.009510431438684464,
-0.04464061185717583,
-0.03542460501194,
-0.008178504183888435,
0.0462108850479126,
-0.005262283142656088,
-0.01093582808971405,
-0.02207728661596775,
-0.01129100937396288,
0.029311757534742355,
-0.009445004165172577,
0.03811650350689888,
-0.05611855909228325,
0.00947771780192852,
0.055146485567092896,
0.0030190362595021725,
-0.031068967655301094,
0.022114675492048264,
0.026881573721766472,
0.01447828859090805,
-0.03720051050186157,
0.04164961725473404,
0.016908472403883934,
0.0026124478317797184,
0.01957232877612114,
0.043070338666439056,
0.0077298544347286224,
-0.03820997104048729,
-0.012627610005438328,
0.0004877893370576203,
0.02761062979698181,
0.043593764305114746,
0.0040869154036045074,
-0.0591469407081604,
0.02321760542690754,
0.00832338072359562,
-0.010234813205897808,
-0.01099190954118967,
0.008557052351534367,
0.001638037501834333,
-0.020226608961820602,
-0.011590108275413513,
-0.0312185175716877,
0.027049817144870758,
0.04404241219162941,
0.014553063549101353,
0.010524566285312176,
0.031050274148583412,
0.01208549179136753,
0.021740799769759178,
0.0008365441462956369,
0.007094268221408129,
0.012459366582334042,
-0.023404542356729507,
-0.022133368998765945,
-0.04624827206134796,
0.048977553844451904,
-0.025984276086091995,
-0.029012659564614296,
0.016917819157242775,
0.03749961033463478,
-0.07122308760881424,
-0.008514991030097008,
-0.002740967320278287,
-0.022675486281514168,
0.020581789314746857,
-0.04037844389677048,
0.004056537989526987,
0.013431440107524395,
0.013870743103325367,
0.029180902987718582,
0.036695778369903564,
0.035349830985069275,
-0.02060048282146454,
0.013683805242180824,
-0.0179179348051548,
0.039294205605983734,
0.02237638644874096,
0.028769640251994133,
0.018880661576986313,
0.007771915756165981,
0.020563095808029175,
-0.024189678952097893,
-0.017553405836224556,
-0.03914465755224228,
0.02540476992726326,
-0.023797109723091125,
0.031592391431331635,
-0.013048218563199043,
-0.017534712329506874,
-0.010459138080477715,
-0.01707671582698822,
0.021385619416832924,
-0.04890277981758118,
0.0182263795286417,
0.0018576887669041753,
0.010244160890579224,
-0.0493888184428215,
-0.021628638729453087,
-0.00713165570050478,
-0.0004769820370711386,
0.02020791545510292,
0.0348077118396759,
-0.007042860146611929,
-0.0069821057841181755,
-0.0036686433013528585,
-0.01674957573413849,
-0.0000868235802045092,
0.017964668571949005,
0.010683462955057621,
-0.024395309388637543,
-0.0004317081766203046,
0.053464047610759735,
-0.04385547712445259,
-0.0462108850479126,
0.03820997104048729,
0.004605666268616915,
0.004414055496454239,
0.016375701874494553,
-0.018273115158081055,
-0.020581789314746857,
0.02332976646721363,
-0.031816717237234116,
-0.031050274148583412,
-0.012674344703555107,
0.010010489262640476,
0.008033627644181252,
0.01489889807999134,
0.008500970900058746,
0.0259281937032938,
0.006332498975098133,
-0.04019150510430336,
0.0009691527229733765,
0.033686090260744095,
-0.015076488256454468,
0.00003680326699395664,
-0.005206202156841755,
-0.041500065475702286,
-0.02729283645749092,
0.030152976512908936,
0.028077973052859306,
0.027853647246956825,
0.008725295774638653,
0.040864478796720505,
0.021722106263041496,
-0.07963526248931885,
0.049500979483127594,
0.021161295473575592,
-0.0042177713476121426,
-0.00036774060572497547,
-0.03647145628929138,
-0.0547352209687233,
0.0062063164077699184,
-0.008884192444384098,
0.008066341280937195,
0.03164847567677498,
0.02312413603067398,
0.023498009890317917,
-0.004977203905582428,
-0.004935143049806356,
-0.037312671542167664,
-0.018160952255129814,
-0.00499589741230011,
-0.006098827347159386,
0.0015457372646778822,
-0.01295475009828806,
-0.0013693151995539665,
0.03662100434303284,
0.03241491690278053,
-0.005126753821969032,
0.0639699250459671,
0.024208372458815575,
0.021890349686145782,
-0.0049257962964475155,
-0.02790972962975502,
-0.028807027265429497,
-0.019198454916477203,
-0.0008342073997482657,
-0.035985417664051056,
-0.020133139565587044,
0.024021435528993607,
0.004301893059164286,
0.0004831159021705389,
-0.011010603047907352,
-0.02852662280201912,
-0.012141573242843151,
0.03093811310827732,
-0.03865861892700195,
-0.03153631091117859,
-0.0030073528178036213,
0.029330452904105186,
-0.011720964685082436,
-0.015665341168642044,
-0.0322466716170311,
0.023161523044109344,
0.048379357904195786,
0.002610111143440008,
-0.023367153480648994,
-0.01768426224589348,
-0.029012659564614296,
0.02269417978823185,
0.04550052434206009,
-0.03738744556903839,
0.028339684009552002,
0.02237638644874096,
-0.014375473372638226,
-0.01447828859090805,
0.011992023326456547,
0.014244616962969303,
-0.012459366582334042,
-0.002391628222540021,
-0.02622729353606701,
-0.002617121208459139,
0.018805885687470436,
0.03290095180273056,
-0.019179759547114372,
0.003897641319781542,
0.02104913257062435,
-0.017955321818590164,
0.01686173863708973,
-0.02718067355453968,
-0.060343340039253235,
-0.016188764944672585,
-0.03978024423122406,
0.05189377814531326,
0.01770295575261116,
0.0352189764380455,
0.04049060493707657,
-0.024227065965533257,
-0.04550052434206009,
0.018992822617292404,
-0.016618719324469566,
0.030339913442730904,
-0.01042175106704235,
-0.0033812271431088448,
0.005972644779831171,
0.03189149126410484,
0.008860824629664421,
0.00018795955111272633,
-0.010244160890579224,
-0.013459481298923492,
0.021011745557188988,
-0.05230503901839256,
0.0053510782308876514,
-0.05312756076455116
] |
Federated Learning (FL) is a promising distributed learning approach that
enables multiple clients to collaboratively train a shared global model.
However, recent studies show that FL is vulnerable to various poisoning
attacks, which can degrade the performance of global models or introduce
backdoors into them. In this paper, we first conduct a comprehensive study on
prior FL attacks and detection methods. The results show that all existing
detection methods are only effective against limited and specific attacks. Most
detection methods suffer from high false positives, which lead to significant
performance degradation, especially in not independent and identically
distributed (non-IID) settings. To address these issues, we propose FLTracer,
the first FL attack provenance framework to accurately detect various attacks
and trace the attack time, objective, type, and poisoned location of updates.
Different from existing methodologies that rely solely on cross-client anomaly
detection, we propose a Kalman filter-based cross-round detection to identify
adversaries by seeking the behavior changes before and after the attack. Thus,
this makes it resilient to data heterogeneity and is effective even in non-IID
settings. To further improve the accuracy of our detection method, we employ
four novel features and capture their anomalies with the joint decisions.
Extensive evaluations show that FLTracer achieves an average true positive rate
of over $96.88\%$ at an average false positive rate of less than $2.67\%$,
significantly outperforming SOTA detection methods. \footnote{Code is available
at \url{https://github.com/Eyr3/FLTracer}.} | [
-0.04161357879638672,
-0.0461294911801815,
-0.023008763790130615,
-0.08912397176027298,
-0.004364293999969959,
0.02354992739856243,
-0.023568587377667427,
0.022355634719133377,
-0.035436853766441345,
0.03670578822493553,
-0.013967607170343399,
0.02343796193599701,
0.02052687667310238,
-0.017429184168577194,
-0.0388517789542675,
0.028551019728183746,
0.014742029830813408,
-0.05419095605611801,
0.021161343902349472,
-0.05471345782279968,
0.047585032880306244,
-0.06855977326631546,
-0.020620182156562805,
0.009768927469849586,
0.034988995641469955,
0.05855758488178253,
0.019332585856318474,
0.016645431518554688,
-0.03508229926228523,
0.05978919565677643,
0.0277299452573061,
0.029726650565862656,
-0.04836878925561905,
0.0010158471995964646,
-0.011830945499241352,
-0.004317642189562321,
0.028644325211644173,
0.04683860391378403,
-0.0010444215731695294,
0.07501640915870667,
-0.042397331446409225,
-0.07195603847503662,
-0.012110857293009758,
0.037172310054302216,
0.009899552911520004,
-0.03088361956179142,
-0.019929731264710426,
-0.03679909184575081,
-0.0364258773624897,
-0.01869811862707138,
-0.018754102289676666,
-0.04963771998882294,
-0.013323809951543808,
-0.04553234577178955,
0.02306474559009075,
0.017251906916499138,
0.08472002297639847,
-0.012073536403477192,
0.02832709066569805,
-0.007557623088359833,
-0.042882513254880905,
0.009503011591732502,
0.014060910791158676,
0.00741766719147563,
0.03418658301234245,
0.023568587377667427,
0.010739289224147797,
0.032563090324401855,
-0.006381992716342211,
0.009796918369829655,
-0.02302742376923561,
0.013389122672379017,
0.0256959181278944,
-0.03149942681193352,
-0.01045937743037939,
0.010813931934535503,
0.003855787217617035,
0.02939075604081154,
0.000008842921488394495,
-0.021142683923244476,
0.024464305490255356,
0.04318108409643173,
0.004921785555779934,
0.037788115441799164,
0.03638855367898941,
-0.011056522838771343,
-0.052436839789152145,
-0.08143571764230728,
0.05094397813081741,
-0.027916552498936653,
-0.013827650807797909,
0.029857276007533073,
-0.014667387120425701,
0.003508229972794652,
-0.014303501695394516,
0.020993396639823914,
-0.020414913073182106,
-0.02849503792822361,
-0.07027656584978104,
0.02015366218984127,
-0.04273322597146034,
0.032731037586927414,
-0.055422570556402206,
0.04780896380543709,
-0.012316126376390457,
-0.03396265208721161,
-0.033253543078899384,
0.05564649775624275,
0.031909964978694916,
0.1566014140844345,
0.008891870267689228,
-0.001025177538394928,
-0.06788798421621323,
0.051951661705970764,
0.004819151014089584,
0.02493082545697689,
-0.047659676522016525,
-0.013267827220261097,
-0.03747088089585304,
-0.06187920644879341,
-0.0014905312564224005,
0.05351916700601578,
0.021590542048215866,
0.02343796193599701,
-0.012745324522256851,
0.02295278199017048,
0.05740061402320862,
-0.00942836795002222,
-0.006703891325742006,
0.009017830714583397,
0.013808989897370338,
0.007049116306006908,
0.059677232056856155,
-0.05225023254752159,
0.019724464043974876,
0.02881227247416973,
0.021833132952451706,
0.029838616028428078,
0.016122929751873016,
0.016776056960225105,
0.0327870212495327,
-0.003055705688893795,
-0.02153456024825573,
0.029652006924152374,
0.001375067513436079,
-0.03791873902082443,
-0.003307626349851489,
0.03323487937450409,
0.027823248878121376,
0.04538305848836899,
-0.04530841484665871,
0.040046073496341705,
0.042360011488199234,
0.021627863869071007,
0.039075709879398346,
-0.03819865360856056,
0.054825425148010254,
0.0026498332154005766,
0.034671761095523834,
-0.05251148343086243,
0.0210493803024292,
-0.0029344104696065187,
0.0643797516822815,
0.02222500927746296,
0.015003281645476818,
0.011299112811684608,
0.013127870857715607,
-0.013389122672379017,
-0.05601971596479416,
0.05922937020659447,
0.029857276007533073,
0.027860570698976517,
0.010002187453210354,
0.00194772076793015,
-0.02711413986980915,
0.009003834798932076,
0.029801294207572937,
-0.023102067410945892,
-0.04213608056306839,
-0.03414925932884216,
0.0004452349676284939,
0.05568382143974304,
0.003841791767627001,
-0.026330385357141495,
0.03161139041185379,
0.006582596339285374,
0.06505154073238373,
0.03776945546269417,
0.0841975212097168,
-0.013715686276555061,
0.03963553532958031,
-0.009251090697944164,
0.02845771610736847,
-0.020414913073182106,
0.05691543221473694,
-0.006731882691383362,
-0.019006023183465004,
0.013398452661931515,
0.028961557894945145,
-0.07665855437517166,
0.01789570413529873,
-0.03888910263776779,
-0.011989562772214413,
-0.03788141906261444,
0.0012024551397189498,
-0.032600414007902145,
0.023288674652576447,
0.005295001436024904,
-0.009237094782292843,
-0.0295400433242321,
-0.018567493185400963,
-0.02243027836084366,
-0.05038415268063545,
0.0027104809414595366,
0.015021942555904388,
-0.01707462966442108,
0.024072429165244102,
0.004977767821401358,
0.009796918369829655,
0.0065732658840715885,
0.04053125157952309,
0.037825435400009155,
-0.0275246761739254,
-0.002794454339891672,
-0.02437100186944008,
-0.005206362344324589,
0.01825026050209999,
0.032077912241220474,
-0.023102067410945892,
-0.016813378781080246,
-0.03245112672448158,
-0.025434667244553566,
-0.013165192678570747,
0.002488883910700679,
-0.007697578985244036,
-0.02371787466108799,
-0.006657239515334368,
0.02842039428651333,
0.04851807281374931,
-0.02849503792822361,
-0.013482426293194294,
-0.034951675683259964,
-0.04392751678824425,
-0.021385274827480316,
0.0493764691054821,
0.000016319087080773897,
-0.06807459145784378,
0.0793457105755806,
-0.012922602705657482,
0.011056522838771343,
-0.03663114458322525,
-0.0619165264070034,
0.018520841374993324,
0.01116848737001419,
-0.06419314444065094,
0.015012611635029316,
0.012278804555535316,
-0.05157844349741936,
0.03825463354587555,
-0.054414886981248856,
0.05616899952292442,
0.02465091459453106,
-0.013818320818245411,
0.04273322597146034,
-0.005906142294406891,
-0.013081219047307968,
0.06911959499120712,
0.006624583154916763,
0.04877932369709015,
0.062476351857185364,
-0.0020631845109164715,
-0.02173982933163643,
-0.052996665239334106,
-0.001896403613500297,
0.04314376413822174,
-0.029241470620036125,
-0.05852026119828224,
-0.0059294686652719975,
-0.03489569202065468,
0.0570647194981575,
0.008747248910367489,
-0.035194262862205505,
0.026218419894576073,
0.017345210537314415,
0.015264532528817654,
-0.0323951430618763,
-0.01199889276176691,
-0.022766172885894775,
-0.03282434120774269,
0.00959165021777153,
-0.03790007904171944,
-0.0064239795319736,
-0.04071785882115364,
-0.049115218222141266,
0.021926436573266983,
0.04258393868803978,
0.00033210389665327966,
0.03985946252942085,
-0.0096103111281991,
0.016804048791527748,
-0.06732815504074097,
-0.03711632639169693,
0.03941160440444946,
0.03745222091674805,
0.03455979749560356,
0.01045937743037939,
0.014284840784966946,
0.04265858232975006,
-0.03493301197886467,
-0.04090446978807449,
0.00480515556409955,
-0.07064978033304214,
-0.021105362102389336,
-0.08942253887653351,
-0.010571341961622238,
-0.009447028860449791,
-0.030939603224396706,
0.010636654682457447,
-0.06284956634044647,
-0.02946539968252182,
0.0058081732131540775,
0.02614377811551094,
-0.07188139110803604,
-0.002451562322676182,
-0.0017471171449869871,
-0.04068053886294365,
0.03896374627947807,
0.0384412445127964,
-0.07747963070869446,
0.0014077238738536835,
-0.02351260557770729,
-0.004483256489038467,
-0.09867829829454422,
-0.044263411313295364,
-0.05937865749001503,
-0.015936320647597313,
-0.08942253887653351,
0.0570647194981575,
0.015161897987127304,
-0.031667374074459076,
-0.02562127448618412,
-0.026647619903087616,
-0.03274970129132271,
0.01838088594377041,
0.0011604683240875602,
-0.03314157575368881,
-0.05445220693945885,
-0.01598297245800495,
0.022392956539988518,
-0.005780181847512722,
0.0009452860103920102,
0.003039377508684993,
-0.0025915182195603848,
-0.017307890579104424,
0.00263117253780365,
-0.03866517171263695,
-0.00791217852383852,
0.010067500174045563,
-0.025975830852985382,
-0.0026614961680024862,
-0.010487368330359459,
-0.04594288393855095,
-0.02651699259877205,
0.010599332861602306,
-0.017233246937394142,
-0.010431385599076748,
0.0014333825092762709,
-0.0034755736123770475,
-0.017214585095643997,
0.0570647194981575,
-0.01113116554915905,
0.044748593121767044,
-0.0025285379961133003,
0.028364412486553192,
0.017466505989432335,
-0.038553208112716675,
-0.024221714586019516,
-0.025397345423698425,
-0.02088143303990364,
0.047137174755334854,
-0.007627601269632578,
-0.0010951556032523513,
0.05519863963127136,
0.021926436573266983,
0.025397345423698425,
-0.014583413489162922,
0.008565305732190609,
-0.07225460559129715,
-0.0208441112190485,
0.014546091668307781,
0.03608998283743858,
-0.0017062966944649816,
-0.01111250463873148,
-0.0076089403592050076,
0.045271094888448715,
-0.008383363485336304,
-0.01910865679383278,
-0.01303456723690033,
0.01547913160175085,
-0.04792092740535736,
0.014098232612013817,
0.04702521115541458,
0.005052410997450352,
-0.00035805406514555216,
-0.02091875486075878,
0.0013435774017125368,
0.011774963699281216,
0.04071785882115364,
0.05236219987273216,
0.006997799035161734,
-0.004028399474918842,
0.0036178622394800186,
0.023381980136036873,
0.023661890998482704,
0.046241454780101776,
0.014312831684947014,
-0.05366845428943634,
-0.002764130709692836,
-0.035362210124731064,
-0.002780458889901638,
0.0033542783930897713,
0.00957298930734396,
0.07240389287471771,
0.03608998283743858,
0.004865802824497223,
0.025192076340317726,
-0.0004778913571499288,
-0.029316112399101257,
-0.014807342551648617,
-0.021347953006625175,
0.05329523980617523,
-0.013836981728672981,
0.035716768354177475,
-0.017802400514483452,
-0.050010938197374344,
-0.026125116273760796,
0.03985946252942085,
-0.027431372553110123,
0.011672329157590866,
0.005579578690230846,
-0.02399778552353382,
0.007622935809195042,
0.02198242023587227,
0.0064193145371973515,
-0.05751257762312889,
-0.031424783170223236,
0.025397345423698425,
-0.02375519461929798,
0.0011132331565022469,
0.009237094782292843,
-0.043852873146533966,
0.0461294911801815,
-0.041016433387994766,
-0.005817503668367863,
0.005304331891238689,
-0.0036061990540474653,
-0.0008828889694996178,
-0.03836660087108612,
0.04109107702970505,
-0.03549283742904663,
0.02145991660654545,
0.0882282480597496,
0.010170134715735912,
-0.018847405910491943,
-0.011662998236715794,
0.034298546612262726,
-0.005887481849640608,
-0.08979576081037521,
-0.00283877388574183,
-0.02873762883245945,
0.04974968731403351,
-0.02496814727783203,
0.03174201771616936,
0.022486262023448944,
0.042807869613170624,
0.03023049235343933,
0.0014357151230797172,
-0.08001749962568283,
0.017111951485276222,
-0.018362224102020264,
0.022187689319252968,
0.022113045677542686,
0.020508216693997383,
-0.01400492899119854,
0.01602962426841259,
-0.017419854179024696,
-0.02039625123143196,
-0.024426983669400215,
-0.006326010450720787,
-0.03752686455845833,
0.007716239895671606,
-0.04180018603801727,
0.004201012197881937,
0.02509877271950245,
-0.01622556336224079,
-0.03362675756216049,
-0.020732145756483078,
0.014098232612013817,
0.11524908989667892,
-0.02164652571082115,
0.03974749892950058,
-0.01696266420185566,
0.03739623725414276,
0.00280845002271235,
0.0037858092691749334,
-0.011597685515880585,
-0.03573542833328247,
-0.018875397741794586,
0.025677258148789406,
-0.0006537110893987119,
-0.06240170821547508,
0.008425350300967693,
0.027935214340686798,
-0.019892409443855286,
-0.022728851065039635,
0.011597685515880585,
0.011746971867978573,
0.002586852991953492,
-0.009759597480297089,
0.018063651397824287,
0.011765632778406143,
-0.007622935809195042,
-0.03513828292489052,
0.0046628667041659355,
-0.010254108346998692,
0.05844561755657196,
0.001145306508988142,
0.026125116273760796,
0.000030852275813231245,
-0.05187701806426048,
0.03989678621292114,
0.06139402464032173,
-0.005019754637032747,
0.03663114458322525,
0.03769481182098389,
-0.007492310367524624,
-0.007818873971700668,
-0.01615091972053051,
-0.05325791612267494,
-0.019127316772937775,
-0.023325996473431587,
0.010188795626163483,
0.0021973089314997196,
0.00777222216129303,
0.018240930512547493,
0.0315554104745388,
0.02804717794060707,
-0.0368364155292511,
0.00014527722669299692,
-0.008168764412403107,
0.005878151394426823,
0.007464319001883268,
0.008686601184308529,
0.035754088312387466,
-0.008812561631202698,
-0.014676717109978199,
0.024221714586019516,
-0.0024329014122486115,
-0.002222967566922307,
-0.008304054848849773,
-0.03008120507001877,
-0.016869360581040382,
0.012745324522256851,
-0.03493301197886467,
0.03330952301621437,
-0.0372282899916172,
-0.02565859630703926,
0.043367695063352585,
-0.04090446978807449,
0.01220416184514761,
0.026610298082232475,
-0.0188194140791893,
0.008971178904175758,
-0.019780445843935013,
0.003055705688893795,
-0.004317642189562321,
-0.0045882235281169415,
0.00010212413326371461,
0.018567493185400963,
-0.04265858232975006,
-0.014415466226637363,
-0.020694823935627937,
-0.013006576336920261,
0.0071844072081148624,
-0.0012409430928528309,
-0.003270304761826992,
-0.05893079936504364,
-0.008215416222810745,
-0.007641596719622612,
-0.04153893515467644,
0.00860262755304575,
0.006759874057024717,
-0.01728922873735428,
-0.018772762268781662,
-0.02995057962834835,
-0.03638855367898941,
0.022934120148420334,
-0.014350153505802155,
0.04299447685480118,
-0.021235987544059753,
0.0039887456223368645,
0.0026708266232162714,
0.021441256627440453,
0.04881664738059044,
0.01817561686038971,
-0.036164626479148865,
-0.03241380676627159,
0.0022836150601506233,
0.03525024652481079,
0.008677271194756031,
0.0513918362557888,
0.02545332722365856,
0.010804601944983006,
-0.009143791161477566,
0.025397345423698425,
-0.01663610152900219,
0.04202411696314812,
-0.010953888297080994,
0.03177933767437935,
-0.028439056128263474,
0.0550493523478508,
-0.03635123372077942,
0.045830920338630676,
0.014807342551648617,
0.020284287631511688,
0.03982214257121086,
-0.00042715732706710696,
-0.02821512520313263,
-0.0323951430618763,
-0.03250711038708687,
-0.016822708770632744,
0.007795548066496849,
-0.03760150820016861,
-0.025322701781988144,
-0.060498304665088654,
0.005980785470455885,
0.034055955708026886,
0.020228303968906403,
-0.005001093726605177,
0.004476258996874094,
0.02254224382340908,
-0.013426443561911583,
0.027095478028059006,
0.043778229504823685,
-0.01646815426647663,
-0.010580671951174736,
-0.005248349159955978,
-0.03064103052020073,
0.0323951430618763,
0.02157188206911087,
0.002810782752931118,
0.010114151984453201,
0.0051083932630717754,
0.03133147954940796,
-0.009059817530214787,
-0.042434655129909515,
0.022131705656647682,
-0.03485836833715439,
0.01128978282213211,
0.006937151309102774,
0.03433586657047272,
0.051914338022470474,
-0.0066339136101305485,
0.012763985432684422,
-0.004921785555779934,
-0.03974749892950058,
0.014798012562096119,
0.02537868544459343,
0.019929731264710426,
0.07128424942493439,
-0.024426983669400215,
0.02707681804895401,
-0.049563080072402954,
0.009181112051010132,
0.036855075508356094,
0.001990873832255602,
0.030249152332544327,
0.04948843643069267,
-0.013930285349488258,
-0.03351479396224022,
-0.028849592432379723,
0.004770166240632534,
0.0031023574993014336,
-0.008966512978076935,
-0.02076946757733822,
-0.022635547444224358,
-0.006395988166332245,
0.040008749812841415,
-0.08076392859220505,
-0.05889347568154335,
0.008262068033218384,
-0.02942807786166668,
-0.015647077932953835,
0.007706909440457821,
0.0008082457934506238,
-0.02690887078642845,
-0.02582654356956482,
-0.029577365145087242,
-0.012316126376390457,
0.04221072420477867,
0.015852347016334534,
0.036127302795648575,
-0.06034902110695839,
0.0032516440842300653,
-0.009279081597924232,
-0.042434655129909515,
0.0011942910496145487,
-0.007580948993563652,
0.023867160081863403,
0.001887073158286512,
0.0039001067634671926,
0.03327220305800438,
0.0067738695070147514,
0.0212546493858099,
0.0029274127446115017,
-0.00948901567608118,
0.007543627638369799,
0.02472555637359619,
0.0018555830465629697,
0.047622356563806534,
0.011121835559606552,
0.01925794407725334,
0.024912165477871895,
-0.0574752576649189,
-0.006475296802818775,
0.004476258996874094,
-0.01289461087435484,
0.01906200498342514,
-0.003501232247799635,
0.008495328016579151,
0.077703557908535,
-0.02513609454035759,
-0.03088361956179142,
0.0016923011280596256,
-0.02828976884484291,
0.03112621046602726,
0.039075709879398346,
0.017830392345786095,
0.01187759730964899,
0.020172322168946266,
0.04403948411345482,
0.012446751818060875,
-0.028476377949118614,
0.008863878436386585,
0.017905035987496376,
0.03573542833328247,
-0.01139241736382246,
0.026684939861297607,
-0.02271019108593464,
0.017102621495723724,
0.01554444432258606,
-0.028793610632419586,
0.024426983669400215,
-0.04112839698791504,
-0.04870468005537987,
0.022971441969275475,
0.022728851065039635,
0.01570306159555912,
0.0192206222563982,
0.013790329918265343,
-0.0275246761739254,
0.03250711038708687,
0.007846865803003311,
0.02229965291917324,
0.07195603847503662,
-0.024147072806954384,
-0.02424037642776966,
-0.03248845040798187,
0.018315572291612625,
-0.028271108865737915,
0.02946539968252182,
0.014779351651668549,
0.0049637723714113235,
-0.008262068033218384,
-0.03452247381210327,
0.003293630899861455,
0.05467613786458969,
-0.020582860335707664,
-0.013211844488978386,
0.019127316772937775,
-0.024576270952820778,
-0.010095491074025631,
-0.020209643989801407,
-0.012045544572174549,
-0.018427537754178047,
0.016094937920570374,
0.03105156682431698,
-0.00689982995390892,
-0.015264532528817654,
0.057736508548259735,
0.0031700029503554106,
0.011280451901257038,
0.03039843961596489,
-0.025975830852985382,
0.03437319025397301,
-0.000009795096048037522,
-0.045793596655130386,
0.014919308014214039,
-0.021235987544059753,
-0.037172310054302216,
0.05314595252275467,
-0.010114151984453201,
-0.025248060002923012,
-0.009293077513575554,
0.0031933290883898735,
-0.025770561769604683,
0.024426983669400215,
-0.006727217696607113,
-0.02901753969490528,
-0.014060910791158676,
0.026218419894576073,
0.01804499141871929,
-0.00858396664261818,
-0.0043689594604074955,
-0.01139241736382246,
-0.03752686455845833,
0.01655212789773941,
-0.005281005520373583,
0.002353593008592725,
-0.05258612707257271,
-0.014891316182911396,
-0.04116572067141533,
0.024072429165244102,
-0.019985714927315712,
-0.016542797908186913,
0.014424796216189861,
-0.002357091987505555,
0.010478038340806961,
0.0055935741402208805,
-0.023120727390050888,
-0.008378698490560055,
0.016626771539449692,
-0.017774410545825958,
0.033570773899555206,
-0.07098567485809326,
0.019817767664790154,
-0.020545538514852524,
0.011523042805492878,
0.007692913990467787,
0.03226451948285103,
0.014844664372503757,
-0.03250711038708687,
-0.0018264255486428738,
-0.015469801612198353,
-0.028718966990709305,
0.023493943735957146,
-0.012540056370198727,
-0.00557491322979331,
0.0261064562946558,
0.012745324522256851,
0.014098232612013817,
-0.014891316182911396,
0.07139620929956436,
0.021721169352531433,
-0.0157777052372694,
-0.0206388421356678,
0.0319659449160099,
0.03413059934973717,
-0.019556516781449318,
-0.047659676522016525,
-0.04157625883817673,
0.04366626590490341,
0.023811178281903267,
-0.016337528824806213,
0.03915035352110863,
-0.009073812514543533,
-0.006312015000730753,
-0.01979910582304001,
-0.034261222928762436,
-0.03788141906261444,
0.01841820776462555,
-0.03767615184187889,
-0.015105915255844593,
0.06318546086549759,
0.02271019108593464,
0.01659877970814705,
0.0019127317937090993,
-0.0096103111281991,
-0.0013587393332272768,
-0.05281005799770355,
0.04221072420477867,
0.035604801028966904,
0.022113045677542686,
-0.01473269984126091,
0.013529078103601933,
-0.03896374627947807,
0.02004169672727585,
-0.013510417193174362,
-0.04019535705447197,
-0.0708363875746727,
-0.0425092987716198,
0.0323951430618763,
-0.04306912049651146,
-0.013305149041116238,
0.05329523980617523,
-0.010020848363637924,
-0.003235315904021263,
0.01804499141871929,
-0.027953874319791794,
0.0026731593534350395,
0.011784293688833714,
-0.006549939978867769,
-0.01379965990781784,
-0.006335340905934572,
0.04265858232975006,
0.030025223270058632,
0.0008234077249653637,
-0.005924803204834461,
-0.010104821994900703,
0.011737641878426075,
-0.005406965967267752,
-0.019649820402264595,
0.002831775927916169,
-0.014900647103786469,
0.041501615196466446,
-0.005887481849640608,
-0.02164652571082115,
0.011187148280441761,
0.004574228078126907,
0.026199759915471077,
0.0005166708142496645,
0.02606913447380066,
-0.014947298914194107,
0.015796365216374397,
-0.01784905232489109,
0.00016386513016186655,
0.04355430230498314,
0.012484073638916016,
-0.06079687923192978,
0.027860570698976517,
-0.028625663369894028,
0.024949487298727036,
-0.010123482905328274,
0.04598020389676094,
0.004222005605697632,
0.05792311578989029,
-0.015889668837189674,
0.030585046857595444,
-0.021926436573266983,
-0.028924236074090004,
-0.0029857277404516935,
-0.00012625196541193873,
-0.04269590601325035,
-0.00090679811546579,
0.015917660668492317,
-0.04926450550556183,
0.04605484753847122,
0.008714592084288597,
-0.01313720177859068,
0.03084629774093628,
-0.04586824029684067,
-0.02412841096520424,
0.0013692360371351242,
0.015217880718410015,
-0.06221510097384453,
0.029446737840771675,
-0.0037111660931259394,
-0.014583413489162922,
-0.03205924853682518,
0.017830392345786095,
0.013277157209813595,
0.042360011488199234,
-0.007940169423818588,
-0.011205809190869331,
-0.0019745456520467997,
0.04277054965496063,
-0.036407217383384705,
-0.06217777729034424,
-0.047174494713544846,
0.021702507510781288,
-0.020414913073182106,
-0.029931919649243355,
-0.02278483472764492,
0.018707450479269028,
0.059639908373355865,
0.018343564122915268,
0.019649820402264595,
-0.04586824029684067,
0.016766726970672607,
0.024501627311110497,
0.023363318294286728,
-0.010011518374085426,
0.006717887241393328,
0.052623450756073,
-0.04359162226319313,
-0.03963553532958031,
-0.01634685881435871,
0.01295059360563755,
-0.03246978670358658,
0.036892395466566086,
-0.0003737990919034928,
0.009955535642802715,
0.017923695966601372,
-0.009213768877089024,
-0.015283193439245224,
0.011467060074210167,
-0.010375403799116611,
-0.040493931621313095,
0.00009585527004674077,
0.0331975594162941,
-0.03047308325767517,
0.03944892808794975,
-0.01684137061238289,
0.020750807598233223,
0.004814486019313335,
0.015133907087147236,
0.050085581839084625,
-0.01570306159555912,
-0.015684399753808975,
0.012446751818060875,
-0.04422609135508537,
-0.02821512520313263,
-0.006937151309102774,
0.03915035352110863,
-0.020023036748170853,
-0.02603181265294552,
-0.04594288393855095,
0.032077912241220474,
0.003069701138883829,
-0.01104719191789627,
0.023344658315181732,
-0.016085607931017876,
0.00694181676954031,
-0.02056419849395752
] |
Measurement-based quantum computation (MBQC) offers a fundamentally unique
paradigm to design quantum algorithms. Indeed, due to the inherent randomness
of quantum measurements, the natural operations in MBQC are not deterministic
and unitary, but are rather augmented with probabilistic byproducts. Yet, the
main algorithmic use of MBQC so far has been to completely counteract this
probabilistic nature in order to simulate unitary computations expressed in the
circuit model. In this work, we propose designing MBQC algorithms that embrace
this inherent randomness and treat the random byproducts in MBQC as a resource
for computation. As a natural application where randomness can be beneficial,
we consider generative modeling, a task in machine learning centered around
generating complex probability distributions. To address this task, we propose
a variational MBQC algorithm equipped with control parameters that allow to
directly adjust the degree of randomness to be admitted in the computation. Our
numerical findings indicate that this additional randomness can lead to
significant gains in learning performance in certain generative modeling tasks.
These results highlight the potential advantages in exploiting the inherent
randomness of MBQC and motivate further research into MBQC-based algorithms. | [
-0.020319171249866486,
-0.03855965659022331,
-0.04063834249973297,
-0.008487974293529987,
0.0036441993433982134,
-0.0018199343467131257,
-0.03358813002705574,
0.021860865876078606,
-0.017928680405020714,
0.05678281933069229,
0.010306826792657375,
0.04888380318880081,
0.014135075733065605,
-0.010012345388531685,
-0.032687362283468246,
0.02766386792063713,
-0.012792590074241161,
-0.007821062579751015,
-0.03755495697259903,
-0.007686813827604055,
-0.034748729318380356,
-0.022900208830833435,
-0.08799777925014496,
-0.013511469587683678,
0.019782178103923798,
0.015278354287147522,
-0.008128535002470016,
-0.009458028711378574,
-0.06263779103755951,
0.04337528347969055,
-0.020579008385539055,
0.02225928008556366,
-0.050234951078891754,
-0.024597803130745888,
-0.03942577540874481,
0.006673453375697136,
0.0270749069750309,
-0.022986821830272675,
-0.03558020293712616,
0.001018232200294733,
0.01830977387726307,
0.011900486424565315,
0.012749284505844116,
-0.0027997323777526617,
0.02690168283879757,
-0.023142723366618156,
-0.022467149421572685,
-0.05702533200383186,
-0.02948272041976452,
-0.04264774173498154,
-0.00362904230132699,
-0.06339997053146362,
0.04178162291646004,
0.003291255561634898,
-0.014325622469186783,
-0.011372153647243977,
0.017348380759358406,
-0.0015243709785863757,
0.05886150524020195,
-0.007933657616376877,
0.024112777784466743,
-0.007171472534537315,
-0.0550159327685833,
-0.012567399069666862,
-0.016127152368426323,
-0.02037113904953003,
-0.01517441961914301,
0.0017095040529966354,
0.051690034568309784,
0.004529806785285473,
-0.07247690856456757,
-0.017842069268226624,
-0.009423384442925453,
-0.011484749615192413,
-0.002316870726644993,
0.05733713507652283,
0.07067538052797318,
0.033917251974344254,
-0.008830091916024685,
0.042924899607896805,
0.013779967091977596,
0.037243153899908066,
0.004168201703578234,
-0.0377974696457386,
0.06024729833006859,
-0.0532836951315403,
0.01959163136780262,
-0.05518915876746178,
0.021358516067266464,
0.002334193093702197,
-0.03130157291889191,
0.03327632322907448,
0.003938680049031973,
-0.004142218269407749,
0.00040653502219356596,
0.029621299356222153,
0.021860865876078606,
-0.008487974293529987,
-0.018101904541254044,
0.002661153208464384,
0.012290241196751595,
-0.0005093867657706141,
0.044137466698884964,
-0.011891826055943966,
0.029240205883979797,
-0.05737178027629852,
-0.04091550037264824,
0.010384777560830116,
0.056055277585983276,
0.09464957565069199,
-0.0313362181186676,
-0.009657236747443676,
-0.019002670422196388,
0.0249269288033247,
-0.0489530935883522,
-0.01804993860423565,
-0.0971440002322197,
-0.05252150818705559,
-0.007916335947811604,
-0.06409286707639694,
-0.00439339317381382,
0.06059374660253525,
-0.00003921222378266975,
-0.016395648941397667,
-0.06430073827505112,
0.041885554790496826,
-0.00911158137023449,
-0.016672806814312935,
0.024857640266418457,
0.004542798735201359,
-0.0007860037731006742,
-0.004118400160223246,
-0.021704964339733124,
-0.031405504792928696,
0.02217266894876957,
-0.02991577982902527,
0.002905832137912512,
-0.012073710560798645,
-0.0016088176053017378,
-0.060801614075899124,
0.029777200892567635,
-0.0360998772084713,
0.006231732200831175,
-0.033120423555374146,
-0.015581496059894562,
-0.010410760529339314,
-0.040499765425920486,
0.07698073238134384,
-0.02982916869223118,
0.0034601488150656223,
-0.03435031324625015,
0.04888380318880081,
-0.021289225667715073,
-0.007825393229722977,
0.04659724980592728,
-0.008106881752610207,
0.00502349529415369,
-0.008427346125245094,
0.04528074711561203,
-0.04957669973373413,
0.033207036554813385,
0.0193317960947752,
0.0075958711095154285,
0.0850876122713089,
0.05608992278575897,
0.03462747111916542,
0.028148895129561424,
-0.01813654974102974,
0.0010501702781766653,
0.040499765425920486,
0.01768616773188114,
0.04365244135260582,
-0.06669122725725174,
-0.015235048718750477,
-0.0012244769604876637,
0.057441070675849915,
0.0798908993601799,
0.016958625987172127,
-0.02534266747534275,
-0.04656260460615158,
-0.02121993713080883,
0.010263520292937756,
0.043825663626194,
0.09097722917795181,
0.07843581587076187,
0.01820584014058113,
0.07677286118268967,
-0.00437173992395401,
0.008184832520782948,
0.03516446799039841,
0.05404587835073471,
-0.009380077943205833,
0.012801251374185085,
-0.008821430616080761,
0.09132368117570877,
-0.005313645116984844,
-0.04011867195367813,
-0.017019255086779594,
-0.05397658795118332,
0.029777200892567635,
-0.0412619486451149,
-0.05927724391222,
0.04254380613565445,
0.017677506431937218,
0.024441901594400406,
0.003949506673961878,
-0.009423384442925453,
-0.0013598081422969699,
0.006868330296128988,
-0.027906382456421852,
-0.015183080919086933,
-0.037173863500356674,
-0.0013489816337823868,
-0.024199388921260834,
0.008193493820726871,
-0.03454086184501648,
-0.01657753437757492,
-0.002665483858436346,
-0.08203887194395065,
-0.03745102137327194,
-0.008150188252329826,
-0.019123926758766174,
0.05016566067934036,
-0.03790140524506569,
-0.002223762683570385,
-0.010861143469810486,
0.00893835723400116,
0.02071758732199669,
0.023852940648794174,
0.03817856311798096,
0.010021006688475609,
0.07968302816152573,
0.007478944957256317,
0.01288786344230175,
-0.010809175670146942,
-0.00043793185614049435,
-0.010324148461222649,
0.02355846017599106,
0.011224913410842419,
0.0013966183178126812,
-0.042820967733860016,
0.05283331125974655,
-0.027282776311039925,
-0.02646862342953682,
0.05716390907764435,
-0.023090755566954613,
-0.019366439431905746,
0.04396424442529678,
0.049715280532836914,
0.020752232521772385,
-0.06859669089317322,
0.011631989851593971,
-0.04434533789753914,
-0.002188035286962986,
-0.05123965069651604,
-0.045661840587854385,
-0.016352342441678047,
-0.02423403412103653,
-0.022917531430721283,
-0.040776923298835754,
0.06284565478563309,
0.06339997053146362,
0.002314705401659012,
0.03292987868189812,
0.001932529965415597,
0.008436007425189018,
0.00863521546125412,
-0.012099694460630417,
-0.0003191110445186496,
0.054357681423425674,
-0.026364687830209732,
-0.06405822187662125,
-0.021912831813097,
-0.007950980216264725,
0.016386987641453743,
-0.06343461573123932,
0.012065049260854721,
-0.00029691672534681857,
-0.020561685785651207,
-0.04701298475265503,
0.02284824103116989,
-0.020596330985426903,
0.015304338186979294,
0.006327005568891764,
-0.02681507170200348,
-0.05266008898615837,
-0.008063576184213161,
-0.003943010699003935,
-0.09617394953966141,
0.02312540076673031,
0.020838843658566475,
0.0058289868757128716,
-0.038005340844392776,
0.004386897198855877,
0.014230349101126194,
0.007136827800422907,
-0.036827415227890015,
0.001577420742250979,
0.06811166554689407,
0.0360998772084713,
0.0015958258882164955,
-0.03497391939163208,
0.018153872340917587,
0.03511250019073486,
-0.04167768731713295,
0.033051133155822754,
0.055570248514413834,
0.0300890039652586,
0.054426971822977066,
0.005681746173650026,
0.05234828591346741,
0.024632448330521584,
0.005162074230611324,
-0.024788349866867065,
-0.03187321126461029,
0.008002947084605694,
0.08231603354215622,
0.022241957485675812,
-0.03128425031900406,
-0.024095455184578896,
-0.0013912050053477287,
0.00798562541604042,
-0.08799777925014496,
-0.02028452791273594,
0.04770588129758835,
-0.01753026619553566,
0.006954942364245653,
0.022276602685451508,
-0.0007443217327818274,
-0.010765870101749897,
-0.013286278583109379,
-0.03403851017355919,
-0.06111341714859009,
0.024909608066082,
0.015564173460006714,
-0.04101943597197533,
0.010558000765740871,
0.059935495257377625,
-0.0009408227051608264,
-0.020925456658005714,
-0.031076380982995033,
0.038975395262241364,
0.025481246411800385,
0.028374087065458298,
0.010765870101749897,
-0.05650566145777702,
-0.0322369821369648,
0.04794839397072792,
0.007504928391426802,
0.013052426278591156,
0.000969512911979109,
0.021947477012872696,
0.005867962259799242,
-0.014290977269411087,
0.011935131624341011,
-0.02731741964817047,
0.02329862490296364,
-0.010116280056536198,
-0.012099694460630417,
0.00752225099131465,
0.02267501875758171,
-0.05733713507652283,
-0.056852106004953384,
0.0627763643860817,
0.0017842069501057267,
0.014065786264836788,
-0.043825663626194,
-0.04933418706059456,
-0.008626554161310196,
-0.024857640266418457,
0.006725420709699392,
0.05473877489566803,
-0.012004421092569828,
0.02251911722123623,
-0.03831714391708374,
-0.03762424737215042,
-0.05137823149561882,
-0.00323495757766068,
-0.06773057579994202,
0.05508522316813469,
-0.032531462609767914,
0.032167691737413406,
-0.0184829980134964,
-0.037173863500356674,
0.010835159569978714,
0.0348006971180439,
-0.016742097213864326,
-0.026572557166218758,
-0.0593118891119957,
0.057614292949438095,
-0.010592645965516567,
-0.014126415364444256,
-0.04770588129758835,
-0.03256610780954361,
-0.008080897852778435,
-0.006218740716576576,
-0.0017344050575047731,
-0.058376479893922806,
0.04434533789753914,
-0.015919283032417297,
0.000627395580522716,
-0.03405583277344704,
-0.04160839691758156,
-0.005577811971306801,
0.021202614530920982,
0.000272963079623878,
-0.0635731965303421,
-0.028200862929224968,
0.02851266600191593,
-0.01499253511428833,
-0.0167680811136961,
-0.08287034928798676,
-0.017374364659190178,
-0.053838010877370834,
0.010895787738263607,
-0.0003837993717752397,
-0.06710696965456009,
-0.002236754633486271,
-0.018864091485738754,
-0.044899653643369675,
0.00395383732393384,
0.0014778169570490718,
0.013216989114880562,
0.035614848136901855,
-0.007548234425485134,
0.05619385838508606,
0.03015829436480999,
-0.01950501836836338,
0.015650786459445953,
-0.04056905582547188,
0.043513860553503036,
0.009605268947780132,
-0.01263668853789568,
-0.023731684312224388,
0.0266245249658823,
0.025221411138772964,
-0.011060350574553013,
0.013779967091977596,
-0.0037438031286001205,
-0.019210537895560265,
0.05217505991458893,
0.04088085889816284,
-0.015243709087371826,
-0.003425504080951214,
-0.005751036107540131,
0.027958348393440247,
-0.06177166849374771,
-0.051690034568309784,
-0.058030031621456146,
0.002496590605005622,
-0.0764264166355133,
0.0004779899027198553,
-0.0712989866733551,
0.0180326160043478,
0.05335298180580139,
-0.03803998604416847,
0.058133963495492935,
-0.007180133834481239,
0.04143517464399338,
0.006799040827900171,
0.04344457387924194,
0.02473638392984867,
0.02825283072888851,
-0.03171730786561966,
0.021843543276190758,
-0.0169846098870039,
-0.05518915876746178,
-0.051412876695394516,
-0.01679406501352787,
0.014750021509826183,
-0.003423338755965233,
-0.029967747628688812,
-0.03234091401100159,
0.015027179382741451,
0.0156681090593338,
-0.011961115524172783,
-0.014663409441709518,
-0.04677047207951546,
-0.004150879569351673,
-0.033051133155822754,
0.004716022871434689,
-0.041296593844890594,
-0.033640094101428986,
-0.028841791674494743,
-0.034506216645240784,
0.010817836970090866,
0.051516808569431305,
-0.00496286666020751,
0.0030638989992439747,
0.005162074230611324,
-0.06301888078451157,
-0.05338762700557709,
0.028980370610952377,
0.0330684557557106,
0.025914305821061134,
0.004072928801178932,
0.025827694684267044,
-0.013797289691865444,
0.014905923046171665,
0.008587578311562538,
-0.0006322675035335124,
-0.07240761816501617,
-0.016049200668931007,
0.038871459662914276,
-0.01785939186811447,
-0.015113791450858116,
0.04538467898964882,
-0.01926250569522381,
-0.01112964004278183,
-0.03852501139044762,
-0.005062470678240061,
0.07497133314609528,
0.009380077943205833,
-0.022900208830833435,
0.0158846378326416,
-0.02269233949482441,
-0.00944936741143465,
-0.06939352303743362,
0.030054358765482903,
0.031405504792928696,
0.028062283992767334,
-0.02740403264760971,
0.024199388921260834,
0.06457789987325668,
-0.05276402086019516,
0.031492117792367935,
0.017123188823461533,
-0.01233354676514864,
-0.024944251403212547,
-0.04365244135260582,
-0.07206117361783981,
0.05508522316813469,
-0.026416655629873276,
-0.04791375249624252,
-0.0017852896125987172,
-0.011536716483533382,
0.006760065443813801,
-0.0077431113459169865,
-0.01839638501405716,
-0.058549702167510986,
0.0076002017594873905,
0.06395429372787476,
0.05162074416875839,
0.003761125495657325,
0.004988850560039282,
-0.004252648446708918,
0.04219735786318779,
0.0026070207823067904,
0.004915230441838503,
-0.012229612097144127,
-0.03533769026398659,
-0.01623108610510826,
0.0318039208650589,
-0.009085597470402718,
-0.03481801971793175,
-0.0012612870195880532,
-0.013520130887627602,
-0.051066428422927856,
0.0011941627599298954,
-0.04029189422726631,
0.040084026753902435,
-0.008856075815856457,
0.025896983221173286,
0.03154408559203148,
0.004079424776136875,
-0.02672845870256424,
0.014360267668962479,
0.07109111547470093,
0.019002670422196388,
-0.021601028740406036,
-0.0047939736396074295,
-0.01666414551436901,
-0.019193215295672417,
0.0070805298164486885,
0.03499124199151993,
0.007483275607228279,
0.015148436650633812,
-0.013043764978647232,
0.005356951151043177,
-0.0006176517345011234,
-0.006279368884861469,
-0.043617796152830124,
0.01787671446800232,
0.04417211189866066,
0.0006171104032546282,
-0.02705758437514305,
-0.022553760558366776,
-0.016785403713583946,
0.02714419551193714,
-0.007920665666460991,
-0.02319468930363655,
0.05175932124257088,
-0.017980648204684258,
0.015763381496071815,
-0.0016445451183244586,
-0.025914305821061134,
0.0167680811136961,
-0.02568911574780941,
0.02121993713080883,
-0.017409009858965874,
-0.024944251403212547,
0.001040967763401568,
0.03185588866472244,
-0.022640373557806015,
-0.044899653643369675,
-0.013424857519567013,
0.012082371860742569,
0.0054608858190476894,
0.000010877247405005619,
0.0279410257935524,
-0.005421910434961319,
0.01447286270558834,
0.046008288860321045,
-0.03289523348212242,
0.003592232009395957,
0.010791853070259094,
-0.000269309151917696,
-0.04029189422726631,
-0.014065786264836788,
0.00620574876666069,
0.03126692771911621,
-0.006192756816744804,
-0.020076658576726913,
-0.010064313188195229,
0.009743848815560341,
0.004142218269407749,
-0.05463483929634094,
-0.010739886201918125,
0.004218003712594509,
-0.00828876718878746,
-0.04105408117175102,
0.00011367823026375845,
-0.019297150894999504,
0.001958513632416725,
0.017244447022676468,
-0.0005518807447515428,
0.007426977623254061,
0.002769418293610215,
0.031214959919452667,
-0.021704964339733124,
-0.04586970806121826,
0.014161059632897377,
-0.016005894169211388,
0.012013082392513752,
-0.00444752536714077,
0.0223458930850029,
0.0037481337785720825,
0.0043349298648536205,
0.02199944481253624,
0.034419603645801544,
0.025810372084379196,
0.0008893968188203871,
-0.009475351311266422,
0.04230129346251488,
-0.0377974696457386,
0.007851376198232174,
0.022917531430721283,
-0.021860865876078606,
-0.009423384442925453,
0.0017279090825468302,
0.041643042117357254,
0.06478576362133026,
-0.01017690822482109,
-0.0012428819900378585,
0.006058508530259132,
0.009787154383957386,
0.05782216042280197,
-0.011406798847019672,
0.021774252876639366,
0.01662084087729454,
0.005919929128140211,
-0.016915321350097656,
-0.015200403518974781,
0.01434294506907463,
0.019868789240717888,
-0.041365884244441986,
-0.03703528642654419,
-0.02955200895667076,
0.010783192701637745,
0.026364687830209732,
-0.0019336126279085875,
-0.015269692987203598,
-0.006088822614401579,
-0.0071541499346494675,
-0.02982916869223118,
-0.010913110338151455,
-0.039564356207847595,
0.047394078224897385,
-0.04219735786318779,
-0.007336035370826721,
-0.02603556215763092,
-0.045835062861442566,
0.02989845722913742,
-0.007093521766364574,
-0.01624840870499611,
0.04486500844359398,
-0.04098479077219963,
0.0024619456380605698,
0.0010171495378017426,
-0.043513860553503036,
-0.045835062861442566,
-0.021531740203499794,
-0.033899933099746704,
0.010341471061110497,
0.017634199932217598,
0.03890610486268997,
0.026347367092967033,
0.014412234537303448,
-0.007704135961830616,
0.03575342893600464,
0.01794600300490856,
0.03204643353819847,
-0.013831933960318565,
0.024944251403212547,
-0.0010149842128157616,
-0.02080419845879078,
0.014377589337527752,
-0.03173463046550751,
0.0025377310812473297,
0.027438677847385406,
0.012974475510418415,
0.03658490255475044,
0.0005207545473240316,
-0.07323909550905228,
0.050234951078891754,
0.056332435458898544,
0.041469819843769073,
0.015139775350689888,
0.03623845428228378,
-0.009691881015896797,
-0.024043487384915352,
0.005915598478168249,
-0.01464608684182167,
-0.0008244378259405494,
0.009466690011322498,
0.04597364366054535,
-0.013130377046763897,
0.03547627106308937,
0.014533490873873234,
-0.0008298510801978409,
0.0012093198020011187,
0.008392701856791973,
0.0004671633942052722,
-0.004503823351114988,
-0.008561594411730766,
0.015936605632305145,
-0.013632726855576038,
-0.00017579527047928423,
0.026607202365994453,
0.05175932124257088,
0.045072875916957855,
0.031249605119228363,
-0.010558000765740871,
-0.02381829544901848,
-0.030660642310976982,
-0.02052704058587551,
0.02922288328409195,
0.013563437387347221,
0.050477463752031326,
-0.0064222789369523525,
0.005738044157624245,
0.032011788338422775,
0.04621615633368492,
0.040499765425920486,
0.0032306271605193615,
-0.03686206042766571,
-0.03831714391708374,
0.016092507168650627,
0.015590157359838486,
-0.03241020441055298,
0.007275406736880541,
0.03341490402817726,
0.0023688378278166056,
-0.029188239946961403,
0.00889505073428154,
-0.043825663626194,
-0.013199666514992714,
0.015079147182404995,
0.02955200895667076,
0.047047629952430725,
0.0025528883561491966,
0.030522063374519348,
-0.006980926264077425,
0.03942577540874481,
-0.032773975282907486,
-0.020076658576726913,
-0.044033534824848175,
-0.02714419551193714,
-0.003696166444569826,
-0.02740403264760971,
-0.005361281801015139,
-0.0193491168320179,
0.023402558639645576,
-0.0489530935883522,
0.04659724980592728,
0.009042290970683098,
-0.005694738123565912,
0.03585736081004143,
-0.056159213185310364,
0.01688067615032196,
0.013251634314656258,
-0.0002982700243592262,
-0.015555513091385365,
0.004049110226333141,
-0.024788349866867065,
-0.019366439431905746,
-0.03817856311798096,
-0.009821799583733082,
0.013416196219623089,
-0.005859300959855318,
-0.0014853955945000052,
-0.007903343997895718,
0.0074616228230297565,
-0.018275128677487373,
0.027438677847385406,
-0.039148617535829544,
-0.03623845428228378,
0.024978896602988243,
0.00668211467564106,
0.005876623094081879,
-0.027715835720300674,
-0.039148617535829544,
0.01529567688703537,
0.003752464195713401,
-0.00884308386594057,
0.0038932086899876595,
-0.01371067762374878,
-0.014819310978055,
0.013624065555632114,
-0.020648296922445297,
0.012290241196751595,
-0.02035381644964218,
-0.045315392315387726,
0.03616916388273239,
0.004062102176249027,
0.04316741228103638,
-0.04143517464399338,
0.0403958298265934,
-0.003977655433118343,
0.004137887619435787,
-0.04230129346251488,
-0.02750796638429165,
0.013147699646651745,
-0.052625443786382675,
-0.021964799612760544,
0.041885554790496826,
0.04399888962507248,
-0.006864000111818314,
-0.015910621732473373,
-0.0412273071706295,
0.007141158450394869,
0.015330321155488491,
0.02731741964817047,
-0.012385513633489609,
-0.04340992867946625,
-0.04115801677107811,
-0.02354113757610321,
-0.031405504792928696,
-0.003440661123022437,
0.009613930247724056,
-0.0066344779916107655,
0.002164216944947839,
-0.00803759228438139,
-0.004819957073777914,
0.017590895295143127,
0.009847782552242279,
0.026174142956733704,
-0.02328130230307579,
-0.029707910493016243,
-0.04680511727929115,
-0.033120423555374146,
0.06852740049362183,
-0.03422905504703522,
0.039495065808296204,
-0.0055215139873325825,
0.011259558610618114,
0.018188517540693283,
0.012186306528747082,
-0.01371067762374878,
-0.013883901759982109,
0.002334193093702197,
0.015321660786867142,
0.02579304948449135,
-0.019799500703811646,
0.012117017060518265,
-0.0076045324094593525,
-0.03334561362862587,
-0.03417709097266197,
0.020509717985987663,
0.02629539929330349,
0.007899013347923756,
0.012922508642077446,
-0.005941582378000021,
0.01250677090138197,
0.025671793147921562,
-0.018673544749617577,
-0.0079423189163208,
-0.026139497756958008,
0.06048981100320816,
-0.004993181210011244,
-0.004547129385173321,
-0.0403958298265934,
-0.04344457387924194,
-0.019730210304260254,
0.022882886230945587,
-0.002907997462898493,
-0.006963603664189577,
-0.03204643353819847,
0.023489169776439667,
-0.015849992632865906,
-0.013892562128603458,
0.004642402287572622,
0.03206375613808632,
-0.0223458930850029,
0.06256850063800812,
-0.025896983221173286,
-0.0012212289730086923,
-0.029881134629249573,
0.0446917861700058,
0.014827972277998924,
0.0489530935883522,
0.0035640832502394915,
0.027559934183955193,
-0.010627290233969688,
-0.04375637695193291,
-0.04143517464399338,
0.00685533881187439,
0.012576060369610786,
-0.0005380769725888968,
-0.008557263761758804,
0.0023753338027745485,
0.02586233988404274,
0.02414742112159729,
0.017738135531544685,
0.01855228655040264,
0.00496286666020751,
-0.017590895295143127,
-0.02851266600191593,
0.009042290970683098,
0.006768726743757725,
-0.01293116994202137,
-0.05033888667821884,
0.012039066292345524,
-0.0006322675035335124,
0.009258821606636047,
0.006959273014217615,
0.011467427015304565,
0.019608953967690468,
-0.04358315095305443,
0.02070026472210884,
-0.022536437958478928,
0.0012298901565372944,
0.035441625863313675,
-0.003943010699003935,
0.010852482169866562,
-0.024078132584691048,
-0.004902238491922617,
-0.011146962642669678,
-0.040776923298835754,
0.025931628420948982,
-0.015494883991777897,
0.005660093389451504,
-0.0549812875688076,
-0.03247949481010437,
-0.008007277734577656,
0.006218740716576576,
-0.06492434442043304,
0.00826711393892765,
-0.012861879542469978,
0.011926470324397087,
-0.024545837193727493,
-0.028824469074606895,
-0.010939094237983227,
0.02629539929330349,
0.021427804604172707,
-0.02825283072888851,
0.014940567314624786,
0.00043522522901184857,
-0.04029189422726631,
0.04767123609781265,
0.053664784878492355,
-0.03206375613808632,
0.006430939771234989,
0.03327632322907448,
-0.00034076403244398534,
0.047394078224897385,
0.017244447022676468,
-0.008054914884269238,
-0.02561982534825802,
0.006625817157328129,
0.012818573974072933,
-0.0313362181186676,
0.03076457791030407,
-0.040776923298835754,
-0.051066428422927856,
-0.022276602685451508,
-0.009631252847611904,
-0.017235785722732544,
-0.025567857548594475,
0.008397032506763935,
-0.010168246924877167,
-0.02028452791273594,
0.0008720744517631829,
0.02785441465675831,
0.07580281049013138,
-0.02510015293955803,
0.03486998379230499,
-0.0188987348228693,
-0.04843342304229736,
0.04663189500570297,
-0.04289025440812111,
-0.01950501836836338,
0.006695106625556946,
0.0014853955945000052,
-0.0403958298265934,
0.03987615928053856,
-0.04458785057067871,
0.009397400543093681,
0.03686206042766571,
-0.009648575447499752,
0.015659447759389877,
-0.03194250166416168,
-0.029084304347634315,
-0.017383025959134102
] |
Visuospatial neglect is a disorder characterised by impaired awareness for
visual stimuli located in regions of space and frames of reference. It is often
associated with stroke. Patients can struggle with all aspects of daily living
and community participation. Assessment methods are limited and show several
shortcomings, considering they are mainly performed on paper and do not
implement the complexity of daily life. Similarly, treatment options are sparse
and often show only small improvements. We present an artificial intelligence
solution designed to accurately assess a patient's visuospatial neglect in a
three-dimensional setting. We implement an active learning method based on
Gaussian process regression to reduce the effort it takes a patient to undergo
an assessment. Furthermore, we describe how this model can be utilised in
patient oriented treatment and how this opens the way to gamification,
tele-rehabilitation and personalised healthcare, providing a promising avenue
for improving patient engagement and rehabilitation outcomes. To validate our
assessment module, we conducted clinical trials involving patients in a
real-world setting. We compared the results obtained using our AI-based
assessment with the widely used conventional visuospatial neglect tests
currently employed in clinical practice. The validation process serves to
establish the accuracy and reliability of our model, confirming its potential
as a valuable tool for diagnosing and monitoring visuospatial neglect. Our VR
application proves to be more sensitive, while intra-rater reliability remains
high. | [
0.005716473329812288,
0.045691635459661484,
-0.02417079545557499,
-0.07126770913600922,
0.023648833855986595,
-0.019924845546483994,
0.02690105140209198,
0.018921075388789177,
-0.0007478090701624751,
-0.023970041424036026,
0.02509426511824131,
0.016100479289889336,
0.02099888026714325,
-0.02016575075685978,
0.018900999799370766,
0.045249976217746735,
0.046775709837675095,
0.0008431673049926758,
0.005239682272076607,
-0.05878080427646637,
0.0021982574835419655,
0.0029962551780045033,
-0.026640070602297783,
-0.03037409670650959,
0.0012986281653866172,
0.04761887714266777,
0.037239886820316315,
0.037420567125082016,
-0.0256965272128582,
0.0022609932348132133,
0.0018381548579782248,
0.0056913793087005615,
0.010148120112717152,
-0.018900999799370766,
-0.008913482539355755,
-0.004489364102482796,
0.025054113939404488,
-0.0018895980902016163,
0.052798330783843994,
0.09411352872848511,
0.037862226366996765,
-0.003942308947443962,
-0.011242230422794819,
-0.011583512648940086,
0.00268006743863225,
-0.09210598468780518,
-0.010193290188908577,
-0.0680556446313858,
-0.013831958174705505,
0.01926235668361187,
0.02388973906636238,
-0.017254816368222237,
0.049947623163461685,
0.004238421097397804,
0.023688985034823418,
-0.04769917577505112,
0.05817854404449463,
0.01345052570104599,
0.06974197924137115,
0.020918577909469604,
0.004986230283975601,
0.03954856097698212,
-0.04898400232195854,
0.01420335378497839,
-0.002612313022837043,
-0.10407093167304993,
-0.001599759329110384,
-0.008722766302525997,
-0.036195967346429825,
0.005726511124521494,
-0.03338541090488434,
-0.027081729844212532,
-0.03671792894601822,
-0.0030564814805984497,
-0.02433139830827713,
0.025054113939404488,
0.0331445038318634,
0.04364394396543503,
-0.026800673454999924,
-0.03585468605160713,
0.060346685349941254,
0.01736523024737835,
-0.09282870590686798,
0.013841995969414711,
0.014303730800747871,
-0.027764294296503067,
0.03298389911651611,
-0.0848788395524025,
0.04408560320734978,
-0.0270215030759573,
-0.07704942673444748,
0.010931061580777168,
0.010263553820550442,
-0.008943595923483372,
0.05520738288760185,
-0.02491358481347561,
0.0315384715795517,
-0.004905928857624531,
-0.01819835975766182,
0.011222154833376408,
0.038163356482982635,
-0.057817183434963226,
0.012035208754241467,
0.007282355334609747,
0.031799450516700745,
-0.022885968908667564,
-0.02918964810669422,
-0.03900652378797531,
0.053280141204595566,
0.1396445631980896,
-0.015227199532091618,
-0.028286254033446312,
0.011824416927993298,
-0.018850810825824738,
-0.0120954355224967,
-0.02326740138232708,
-0.028045348823070526,
-0.04047203063964844,
-0.020436769351363182,
-0.03820350766181946,
-0.018459340557456017,
0.06624885648488998,
-0.015508254989981651,
0.06480342894792557,
-0.033465709537267685,
0.06090879812836647,
-0.03487098962068558,
0.033806994557380676,
-0.04741812124848366,
0.0317191481590271,
0.005011324770748615,
0.03824365884065628,
0.004190742038190365,
0.021520841866731644,
0.008391521871089935,
-0.004511948674917221,
-0.015026445500552654,
0.005026380997151136,
-0.0006562150083482265,
0.024150719866156578,
-0.04139549657702446,
-0.0898575410246849,
-0.028185877948999405,
0.0453704297542572,
-0.022163253277540207,
0.027262408286333084,
-0.04037165269255638,
0.0474984236061573,
-0.06392011046409607,
0.01170396525412798,
-0.0685776025056839,
0.011483135633170605,
-0.018921075388789177,
0.013229696080088615,
0.04629389941692352,
0.021360237151384354,
0.043162133544683456,
0.008105447515845299,
-0.01903148926794529,
-0.05059003829956055,
0.08246979117393494,
-0.058700501918792725,
-0.00567130371928215,
0.014665087684988976,
0.04219851642847061,
0.023448079824447632,
-0.047056764364242554,
-0.010830684565007687,
-0.02384958788752556,
0.0453704297542572,
-0.08391521871089935,
0.016612403094768524,
0.005626134108752012,
0.05392255634069443,
0.038323961198329926,
-0.006253490690141916,
0.08495914191007614,
-0.027764294296503067,
-0.05837929621338844,
0.024411700665950775,
-0.05701416730880737,
0.007021375000476837,
0.02599765732884407,
-0.002007541246712208,
0.015568481758236885,
-0.01413308922201395,
0.07757139205932617,
-0.08351371437311172,
0.014765464700758457,
-0.0012572226114571095,
-0.016150668263435364,
-0.008336314931511879,
0.03872546926140785,
-0.018650056794285774,
0.03834403678774834,
-0.053721800446510315,
-0.017254816368222237,
0.0004457368631847203,
0.06452237069606781,
-0.021641293540596962,
-0.005826888140290976,
0.0037340265698730946,
0.005041437689214945,
0.0474984236061573,
-0.030615001916885376,
-0.0070113372057676315,
0.0419977605342865,
-0.033766843378543854,
0.009982498362660408,
-0.0368584543466568,
-0.029290026053786278,
0.044968921691179276,
-0.05725507438182831,
0.027443086728453636,
-0.03234148770570755,
-0.010991287417709827,
0.029551004990935326,
-0.018991339951753616,
0.0051995315589010715,
0.02991236373782158,
0.03886599466204643,
0.04653480276465416,
0.029249874874949455,
-0.02477305755019188,
-0.020386580377817154,
0.028507083654403687,
0.006981224287301302,
0.028045348823070526,
0.010178233496844769,
-0.036175891757011414,
-0.011202079243957996,
-0.02236400917172432,
0.05151350423693657,
0.0037842150777578354,
0.05456496775150299,
-0.0138219203799963,
0.023970041424036026,
-0.019483186304569244,
-0.02872791327536106,
-0.03055477701127529,
0.0015558443265035748,
0.0023952475748956203,
-0.039829615503549576,
0.003854478942230344,
0.03157862275838852,
0.018991339951753616,
0.009400310926139355,
0.09483624249696732,
0.06793519109487534,
0.028948742896318436,
0.003678819164633751,
-0.029972588643431664,
-0.03471038490533829,
0.019131867215037346,
-0.025796903297305107,
0.038605015724897385,
0.012135585770010948,
-0.016140630468726158,
0.058580052107572556,
0.012647509574890137,
-0.029992664232850075,
0.018138134852051735,
0.03599521145224571,
0.012356415390968323,
-0.027583615854382515,
-0.011202079243957996,
0.04167655482888222,
-0.004971173591911793,
0.036216042935848236,
-0.028908591717481613,
-0.04037165269255638,
-0.07604565471410751,
0.012517019174993038,
-0.08881361782550812,
-0.01963375322520733,
-0.007809334900230169,
0.02194242551922798,
-0.03446948155760765,
-0.0031970092095434666,
-0.03432895243167877,
-0.0163012333214283,
-0.07941832393407822,
-0.029390402138233185,
0.0079749571159482,
-0.029350250959396362,
-0.007498166058212519,
0.003924742806702852,
0.022444309666752815,
-0.016702741384506226,
0.049345362931489944,
-0.02856731042265892,
-0.04673555865883827,
-0.01866009458899498,
-0.027704067528247833,
0.050830941647291183,
0.011854530312120914,
-0.019914807751774788,
-0.005505681503564119,
-0.0001496245531598106,
-0.03701905906200409,
-0.040431879460811615,
0.0006380216800607741,
-0.0001246871252078563,
0.027543464675545692,
-0.03629634529352188,
0.020366504788398743,
-0.017184551805257797,
0.049465812742710114,
-0.015618669800460339,
-0.032702844589948654,
0.03021349385380745,
0.01436395663768053,
-0.006820620968937874,
-0.04320228472352028,
0.00913431216031313,
0.03456985950469971,
0.028446858748793602,
-0.004682589787989855,
-0.024853359907865524,
0.027262408286333084,
-0.04215836524963379,
-0.045571185648441315,
-0.028005199506878853,
-0.027924897149205208,
-0.03886599466204643,
0.014474371448159218,
0.018178284168243408,
0.045129526406526566,
-0.03125741705298424,
-0.041034139692783356,
-0.013480639085173607,
0.010710231959819794,
-0.01118200458586216,
-0.009064048528671265,
-0.0028607461135834455,
0.02945062890648842,
-0.03894629701972008,
-0.01819835975766182,
-0.038785696029663086,
-0.01004774309694767,
-0.00045357883209362626,
-0.047096915543079376,
-0.003375178435817361,
0.016401611268520355,
-0.02690105140209198,
-0.04211821407079697,
-0.01777677610516548,
-0.0012020152062177658,
0.012025171890854836,
0.05091124400496483,
0.0012522038305178285,
0.0013601090759038925,
-0.07793274521827698,
0.014695201069116592,
0.017565984278917313,
-0.015538368374109268,
-0.002356351353228092,
-0.028948742896318436,
0.0049636452458798885,
0.0066198669373989105,
0.0017039005178958178,
-0.03418842703104019,
-0.037681546062231064,
0.04424620792269707,
-0.07419872283935547,
-0.003520725294947624,
0.0001842860074248165,
0.005535794887691736,
-0.019964996725320816,
0.007628656458109617,
0.002848199103027582,
0.018389075994491577,
-0.04139549657702446,
-0.08407582342624664,
-0.01511678472161293,
-0.02039661817252636,
0.0013061565114185214,
-0.028747988864779472,
-0.025576073676347733,
0.02447192557156086,
-0.010900948196649551,
0.02405034378170967,
-0.04516967386007309,
0.0032020281068980694,
0.015437991358339787,
0.06829655170440674,
0.0074128457345068455,
0.0007434175931848586,
0.0450090728700161,
0.03744064271450043,
-0.027924897149205208,
-0.023046571761369705,
-0.008818124420940876,
-0.033786918967962265,
0.019001377746462822,
0.0029686514753848314,
-0.007598543073982,
-0.027884745970368385,
0.046012841165065765,
-0.022725366055965424,
-0.022163253277540207,
-0.026057884097099304,
0.015448029153048992,
0.008908463642001152,
-0.017726588994264603,
0.022604912519454956,
-0.05520738288760185,
-0.006805564276874065,
-0.017445532605051994,
-0.008225900121033192,
0.0031593679450452328,
-0.011533323675394058,
-0.028286254033446312,
0.014193315990269184,
0.027563540264964104,
0.003330008825287223,
0.006223377306014299,
-0.02463253028690815,
-0.03487098962068558,
-0.060828495770692825,
-0.04914460703730583,
0.056893717497587204,
0.06765413284301758,
0.027704067528247833,
-0.05323999002575874,
-0.0029535950161516666,
-0.023789362981915474,
0.023468155413866043,
0.025295019149780273,
-0.047056764364242554,
-0.0002021656691795215,
-0.037099361419677734,
0.02571660280227661,
0.006112962961196899,
-0.006795526947826147,
0.02447192557156086,
0.03157862275838852,
0.047377970069646835,
0.021039031445980072,
-0.00959604699164629,
0.022705290466547012,
0.01625104621052742,
-0.04264017567038536,
-0.03750086948275566,
-0.0003437914128880948,
-0.04974687099456787,
0.03507174551486969,
0.006348848808556795,
0.04247957095503807,
-0.03818343207240105,
-0.07572445273399353,
0.0462537482380867,
-0.032863449305295944,
-0.017676400020718575,
0.026359016075730324,
-0.002898387610912323,
-0.029089272022247314,
-0.07006318867206573,
0.018529605120420456,
-0.011523285880684853,
-0.041917458176612854,
0.009897178038954735,
0.022785592824220657,
-0.05091124400496483,
0.041917458176612854,
0.010348874144256115,
-0.08303190022706985,
-0.03766147047281265,
0.02858738601207733,
0.0326024666428566,
-0.003686347510665655,
-0.010389025323092937,
-0.02007541060447693,
0.05637175589799881,
0.01035891193896532,
-0.03440925478935242,
-0.007904693484306335,
-0.040572404861450195,
-0.02674044854938984,
-0.027121881023049355,
0.01313935685902834,
0.062474679201841354,
0.0024441813584417105,
-0.015377765521407127,
-0.028888516128063202,
-0.026680221781134605,
0.03655732423067093,
-0.004898400511592627,
0.023528382182121277,
-0.015046521089971066,
-0.004107931163161993,
-0.013049017637968063,
0.002262247959151864,
-0.045571185648441315,
0.00013080384815111756,
-0.01937277242541313,
-0.055086929351091385,
-0.007638694252818823,
0.031096812337636948,
0.030414247885346413,
0.054805874824523926,
-0.03129756823182106,
-0.0072472235187888145,
0.017194589599967003,
-0.012858301401138306,
0.018318813294172287,
0.03671792894601822,
-0.007688882760703564,
-0.0005746586248278618,
0.015197086147964,
0.03533272445201874,
-0.0004529514699243009,
-0.030333947390317917,
-0.013289921917021275,
0.04348333925008774,
-0.010253516025841236,
-0.0450090728700161,
-0.004466779064387083,
0.03007296659052372,
0.00717194052413106,
-0.01056970376521349,
0.05392255634069443,
-0.015126822516322136,
0.05452481657266617,
-0.034971367567777634,
0.03653724864125252,
-0.005425380077213049,
-0.018489453941583633,
0.02674044854938984,
0.0012986281653866172,
0.0120954355224967,
0.021862123161554337,
-0.05018853023648262,
-0.0011436711065471172,
-0.019593602046370506,
-0.00907408632338047,
0.015980027616024017,
0.042680323123931885,
-0.010599817149341106,
-0.05958382040262222,
-0.02266513928771019,
0.031076736748218536,
0.003272291971370578,
0.01080057118088007,
-0.02204280160367489,
0.023347703740000725,
0.04348333925008774,
-0.02238408289849758,
-0.03204035758972168,
0.0038067998830229044,
0.008245974779129028,
0.004825626965612173,
-0.022143179550766945,
0.01655217632651329,
-0.011001325212419033,
-0.0017465607961639762,
-0.0011863313848152757,
0.018579794093966484,
-0.01775670051574707,
-0.011533323675394058,
0.01669270545244217,
-0.05424376204609871,
0.009450499899685383,
0.024371549487113953,
-0.006112962961196899,
-0.026037808507680893,
-0.00517945596948266,
0.059342917054891586,
0.003942308947443962,
0.02858738601207733,
0.011392796412110329,
-0.029551004990935326,
0.0031367831397801638,
-0.01919209398329258,
0.026098035275936127,
0.011744115501642227,
0.023488231003284454,
-0.018599867820739746,
-0.001967390300706029,
-0.011282381601631641,
0.0007885872619226575,
-0.006002548150718212,
-0.005530775990337133,
0.06729277968406677,
0.011503210291266441,
0.010178233496844769,
0.03521227091550827,
-0.045410580933094025,
-0.009776725433766842,
0.0039648935198783875,
0.03330510854721069,
0.07383736222982407,
0.06135045737028122,
0.01646183803677559,
-0.0483817420899868,
0.011503210291266441,
0.028667688369750977,
0.009289897046983242,
0.03687852993607521,
-0.04733781889081001,
-0.00855212565511465,
0.04886355251073837,
0.02310679852962494,
0.05376195162534714,
-0.019292470067739487,
0.021641293540596962,
0.007794278673827648,
0.030193418264389038,
0.021721595898270607,
-0.0005796775221824646,
0.012557169422507286,
-0.024893509224057198,
0.004055233206599951,
-0.005897152237594128,
0.023508306592702866,
-0.007829410023987293,
-0.003006292972713709,
-0.006288622505962849,
-0.018369002267718315,
-0.029290026053786278,
-0.006183226592838764,
-0.026640070602297783,
0.06909956783056259,
-0.013942372985184193,
0.019834507256746292,
-0.0009021388250403106,
-0.012838225811719894,
0.028045348823070526,
-0.03368654102087021,
0.001322467694990337,
0.005751605145633221,
-0.03766147047281265,
-0.028988894075155258,
-0.019111791625618935,
0.009691405110061169,
0.044326506555080414,
-0.007422883529216051,
0.06070804223418236,
-0.002429124666377902,
-0.027543464675545692,
-0.025335168465971947,
0.02087842859327793,
0.013470601290464401,
0.047980234026908875,
-0.005480587482452393,
-0.0041204784065485,
0.022243555635213852,
0.02190227434039116,
0.02720218151807785,
0.03836411237716675,
-0.01194486953318119,
0.05737552419304848,
0.0474984236061573,
0.026198411360383034,
-0.006981224287301302,
-0.021219709888100624,
-0.01171400211751461,
0.018529605120420456,
0.0006053991382941604,
0.006097906269133091,
0.038765620440244675,
-0.026499543339014053,
-0.00880808662623167,
0.005872057750821114,
0.0032597449608147144,
0.0047704195603728294,
0.006409075111150742,
0.00026756757870316505,
-0.003959875088185072,
0.039227355271577835,
-0.04777947813272476,
-0.08993784338235855,
-0.07451992481946945,
0.009350122883915901,
0.025295019149780273,
-0.038765620440244675,
0.03358616307377815,
0.03450963273644447,
0.011834454722702503,
-0.03055477701127529,
0.009796801023185253,
-0.012045246548950672,
-0.004690118134021759,
-0.012406604364514351,
-0.02220340445637703,
-0.0009799309773370624,
0.044968921691179276,
0.013932335190474987,
-0.012898451648652554,
-0.010539591312408447,
-0.002276049694046378,
-0.012918527238070965,
0.03336533531546593,
0.018419189378619194,
0.06412086635828018,
-0.010710231959819794,
-0.047980234026908875,
-0.036155816167593,
0.048261288553476334,
-0.018690207973122597,
-0.05111199617385864,
-0.012918527238070965,
-0.006961148697882891,
-0.019161980599164963,
0.027884745970368385,
0.009972460567951202,
0.007352619431912899,
0.024411700665950775,
-0.0014404107350856066,
0.015508254989981651,
-0.018238510936498642,
0.006228396203368902,
-0.008567181415855885,
0.035433102399110794,
-0.02007541060447693,
0.0070113372057676315,
-0.02132008783519268,
-0.027282483875751495,
-0.015096709132194519,
0.02254468761384487,
-0.008752879686653614,
0.009069067426025867,
0.02599765732884407,
-0.06596779823303223,
-0.011543361470103264,
0.030113117769360542,
-0.011091664433479309,
-0.019985072314739227,
-0.01035891193896532,
-0.0005288615939207375,
0.0010414120042696595,
-0.01708417572081089,
0.04701661318540573,
0.014895955100655556,
0.023086722940206528,
0.0013199582463130355,
-0.0016875892179086804,
-0.00585198262706399,
0.0013149394653737545,
-0.02370906062424183,
0.021962499246001244,
-0.021681444719433784,
0.005967415869235992,
-0.02678059972822666,
0.008411597460508347,
-0.012657546438276768,
-0.02465260587632656,
-0.016662592068314552,
-0.002189474646002054,
0.005831907037645578,
0.03852471336722374,
0.014173240400850773,
0.08712728321552277,
-0.036477021872997284,
0.002971160924062133,
-0.009440462104976177,
0.022584836930036545,
0.04982716962695122,
0.02032635360956192,
-0.04272047430276871,
0.009831932373344898,
0.026118110865354538,
-0.010273591615259647,
0.06500418484210968,
0.024572303518652916,
-0.00237015332095325,
0.006805564276874065,
0.006654998753219843,
0.008953633718192577,
-0.026198411360383034,
-0.0006170052220113575,
0.014966219663619995,
0.08431673049926758,
-0.0806228518486023,
-0.0159499142318964,
0.011683889664709568,
0.05336044356226921,
-0.004128006286919117,
-0.01717451401054859,
-0.02298634685575962,
-0.025054113939404488,
-0.011131815612316132,
-0.026359016075730324,
0.017606135457754135,
0.0044241189025342464,
-0.03280322253704071,
-0.00826605036854744,
-0.029591156169772148,
-0.01972409151494503,
-0.03535280004143715,
0.004521986469626427,
-0.006439188029617071,
-0.002938538324087858,
-0.0450090728700161,
0.01720462739467621,
-0.006067792885005474,
-0.019734129309654236,
-0.03593498468399048,
0.02615826018154621,
-0.024130644276738167,
0.01066004391759634,
-0.007839447818696499,
-0.025576073676347733,
-0.01738530583679676,
-0.041034139692783356,
-0.0017942398553714156,
-0.004993758630007505,
0.01637149788439274,
-0.02328747697174549,
-0.005490624811500311,
-0.00464243907481432,
0.005982472561299801,
0.004484345205128193,
-0.021119331941008568,
0.0013550902949646115,
-0.03537287563085556,
-0.009741593152284622,
-0.004870796576142311,
-0.00853205006569624,
-0.04175685718655586,
0.0008632426615804434,
-0.049666568636894226,
-0.015166973695158958,
-0.03410812467336655,
-0.030153267085552216,
-0.015709009021520615,
-0.004602287895977497,
0.016441762447357178,
0.019202131778001785,
0.004958626814186573,
-0.015377765521407127,
0.013350148685276508,
-0.046173445880413055,
-0.016913533210754395,
0.0009015114628709853,
0.022103028371930122,
-0.047257520258426666,
0.009681367315351963,
-0.011974982917308807,
0.011764191091060638,
0.022444309666752815,
0.014986294321715832,
-0.0025382847525179386,
-0.00034096831222996116,
-0.001742796623148024,
-0.013320035301148891,
-0.01420335378497839,
0.008426654152572155,
0.011673851870000362,
0.030916133895516396,
-0.0034604989923536777,
0.027844594791531563,
0.034389179199934006,
0.033606238663196564,
0.0006537055596709251,
0.026499543339014053,
0.041797008365392685,
0.03974931314587593,
-0.03236156329512596,
-0.010650006122887135,
0.023608684539794922,
-0.0010652515338733792,
0.03330510854721069,
-0.013380262069404125,
0.02372913621366024,
0.030273720622062683,
-0.01163370069116354,
-0.0327831469476223,
-0.03719973564147949,
-0.04649465158581734,
-0.06428146362304688,
0.0040226103737950325,
-0.015056558884680271,
-0.0171042513102293,
0.0057817185297608376,
0.007447977550327778,
0.007357638329267502,
0.006092887371778488,
-0.020597372204065323,
-0.011382758617401123,
0.055849794298410416,
0.02979191020131111,
-0.014665087684988976,
0.01609044149518013,
0.017465608194470406,
-0.04123489558696747,
-0.02208295278251171,
-0.0483817420899868,
0.02113940753042698,
-0.006092887371778488,
-0.0025922374334186316,
-0.0073676761239767075,
-0.028346480801701546,
-0.024090493097901344,
0.045410580933094025,
0.025435546413064003,
-0.0388057716190815,
0.011653776280581951,
0.02384958788752556,
0.01511678472161293,
0.023648833855986595,
-0.006062774453312159,
0.0226852148771286,
-0.04143564775586128,
-0.05364149808883667,
0.014484409242868423,
-0.02162121795117855,
-0.034369103610515594,
-0.009345103986561298,
-0.008511974476277828,
-0.0505097359418869,
-0.006243452895432711,
-0.015598594211041927,
-0.03222103416919708,
0.02858738601207733,
0.0004011945566162467,
0.00400504469871521,
0.004188232589513063,
0.015357689931988716,
-0.013691430911421776,
0.042840927839279175,
0.03218088299036026,
-0.037099361419677734,
-0.0065947724506258965,
-0.04444696009159088,
-0.001335014821961522,
-0.04143564775586128,
0.00032089289743453264,
0.034670233726501465,
-0.031498320400714874,
-0.015417915768921375,
0.0540430061519146,
0.09716498851776123,
0.024371549487113953,
0.04492877051234245,
-0.023949965834617615,
-0.012286151759326458,
-0.011272343806922436,
-0.014173240400850773,
-0.01066004391759634,
0.022263631224632263,
-0.006855752784758806,
-0.01277799904346466,
0.019322583451867104,
0.006820620968937874,
-0.023929890245199203,
0.06026638671755791,
-0.035894837230443954,
0.02208295278251171,
0.007673826068639755,
0.01232630293816328,
0.03388729318976402,
0.01580938696861267,
-0.0008199550793506205,
-0.05986487865447998,
-0.05504677817225456,
-0.0338471420109272,
-0.05452481657266617,
-0.00036010268377140164,
0.0226852148771286,
-0.006981224287301302,
0.017535872757434845,
0.012727811001241207,
0.00763367535546422,
-0.004268534481525421,
-0.002089097397401929,
-0.031960055232048035,
-0.010439214296638966,
-0.001984956208616495,
0.00913431216031313,
0.021520841866731644,
-0.01016317680478096,
-0.014253541827201843,
0.012346377596259117,
0.020818201825022697,
-0.028808215633034706,
-0.04340304061770439,
-0.04151595011353493,
-0.006614848040044308,
0.0087277851998806,
0.01345052570104599,
-0.015146898105740547,
0.04516967386007309,
-0.029992664232850075,
-0.0006926016649231315,
-0.017415419220924377,
-0.021400388330221176,
0.014062825590372086,
-0.05219607055187225,
0.0480203852057457,
0.007819373160600662,
-0.017977530136704445,
-0.019182056188583374,
-0.02463253028690815,
-0.03115703910589218,
0.03328503295779228,
-0.021440539509058,
0.010032686404883862,
-0.018840773031115532,
0.01625104621052742,
0.030253645032644272,
0.008667558431625366,
-0.01472531445324421,
0.034549783915281296,
-0.03037409670650959,
0.03324488177895546,
0.043282587081193924,
0.04380454868078232,
-0.014775502495467663,
0.03836411237716675,
0.04862264543771744,
-0.002624860033392906,
0.007623637560755014,
0.008431673049926758,
-0.0034153293818235397,
-0.01246683020144701,
-0.0662890076637268,
0.025877205654978752,
0.02824610471725464,
-0.04665525630116463,
0.016903497278690338,
0.016421686857938766,
-0.019904769957065582,
-0.03902659937739372
] |
An amino acid insertion or deletion, or InDel, can have profound and varying
functional impacts on a protein's structure. InDel mutations in the
transmembrane conductor regulator protein for example give rise to cystic
fibrosis. Unfortunately performing InDel mutations on physical proteins and
studying their effects is a time prohibitive process. Consequently, modeling
InDels computationally can supplement and inform wet lab experiments. In this
work, we make use of our data sets of exhaustive double InDel mutations for
three proteins which we computationally generated using a robotics inspired
inverse kinematics approach available in Rosetta. We develop and train a neural
network, RoseNet, on several structural and energetic metrics output by Rosetta
during the mutant generation process. We explore and present how RoseNet is
able to emulate the exhaustive data set using deep learning methods, and show
to what extent it can predict Rosetta metrics for unseen mutant sequences with
two InDels. RoseNet achieves a Pearson correlation coefficient median accuracy
of 0.775 over all Rosetta scores for the largest protein. Furthermore, a
sensitivity analysis is performed to determine the necessary quantity of data
required to accurately emulate the structural scores for computationally
generated mutants. We show that the model can be trained on minimal data (<50%)
and still retain a high level of accuracy. | [
-0.05426563322544098,
0.03907438740134239,
-0.033886656165122986,
-0.01453543733805418,
0.0036558827850967646,
0.008197595365345478,
-0.012147122994065285,
0.00019622228865046054,
-0.030460795387625694,
0.07348960638046265,
-0.012000299990177155,
-0.028307396918535233,
0.024724924936890602,
-0.0584549717605114,
-0.008432511240243912,
-0.04044473171234131,
-0.026271456852555275,
0.0022341504227370024,
0.05136833339929581,
-0.06616804748773575,
0.027485189959406853,
-0.05684971064329147,
-0.03437606617808342,
-0.01665947027504444,
0.02480323053896427,
0.04154100641608238,
0.007478164508938789,
0.017589347437024117,
-0.04588695615530014,
0.05544021353125572,
0.04007278010249138,
-0.010649532079696655,
0.010943178087472916,
0.04318542033433914,
-0.013253186829388142,
-0.009293870069086552,
-0.014378826133906841,
0.04232406243681908,
-0.018646469339728355,
-0.0351395420730114,
-0.02548840269446373,
0.003726847004145384,
0.01438861433416605,
0.006866403389722109,
0.05868988484144211,
-0.00044627953320741653,
-0.05786767974495888,
-0.02392229624092579,
-0.030088843777775764,
-0.0003138332976959646,
0.038075994700193405,
0.013135728426277637,
-0.04623933136463165,
-0.06060836836695671,
-0.01083550788462162,
0.02482280693948269,
0.03633369877934456,
0.06906534731388092,
0.028209514915943146,
-0.02480323053896427,
-0.006543393712490797,
0.02840527892112732,
-0.013977511785924435,
-0.004933239426463842,
0.017540406435728073,
-0.058180902153253555,
0.02114245481789112,
-0.07654351741075516,
0.03095020353794098,
-0.011667502112686634,
-0.023648226633667946,
0.010669108480215073,
-0.01839197799563408,
-0.0017973532667383552,
0.009171518497169018,
0.01598408631980419,
-0.000578114006202668,
0.00788926798850298,
-0.03353428095579147,
-0.00923024769872427,
0.030402066186070442,
0.03549191728234291,
-0.035452764481306076,
-0.030284607782959938,
0.08175082504749298,
0.021494828164577484,
0.013556620106101036,
-0.047570522874593735,
-0.00408900948241353,
-0.050937652587890625,
-0.02721112221479416,
0.022551951929926872,
0.03737124428153038,
-0.02488153614103794,
-0.013076999224722385,
0.027759259566664696,
0.001782671082764864,
0.014173274859786034,
-0.02360907383263111,
-0.003915269393473864,
-0.00993989035487175,
0.0210054200142622,
0.04901917278766632,
0.023197971284389496,
-0.00041293856338597834,
-0.026173574849963188,
0.017736170440912247,
0.03143961355090141,
-0.021201184019446373,
0.15387007594108582,
0.02705451101064682,
-0.016649682074785233,
-0.010845296084880829,
-0.007120896130800247,
0.014975905418395996,
-0.03966167941689491,
-0.06620720028877258,
-0.016483284533023834,
-0.02280644327402115,
-0.05657564103603363,
0.006602122914046049,
0.048980019986629486,
-0.024333398789167404,
-0.025527555495500565,
-0.05328681319952011,
0.05544021353125572,
-0.03206605464220047,
-0.035237424075603485,
0.0366077683866024,
0.0678124651312828,
-0.034650132060050964,
-0.009626667946577072,
0.010101394727826118,
-0.06718602031469345,
0.013634925708174706,
0.023883143439888954,
-0.019850416108965874,
0.035687681287527084,
0.03631412237882614,
0.02726985141634941,
-0.037116751074790955,
-0.011501103639602661,
-0.03627496957778931,
-0.010532074607908726,
0.009318340569734573,
0.009665820747613907,
-0.07196264714002609,
0.04710068926215172,
-0.001930717146024108,
-0.06483685970306396,
-0.06898704171180725,
-0.007551575545221567,
0.004201573319733143,
-0.002138715935871005,
0.04968476668000221,
0.007326447870582342,
0.04118863120675087,
0.011129152961075306,
-0.00129326235037297,
-0.004761946387588978,
0.03124384954571724,
0.016248367726802826,
-0.05187731981277466,
-0.03682310879230499,
-0.04267643392086029,
0.046004414558410645,
0.026643406599760056,
0.002789629390463233,
-0.01584705337882042,
0.055126991122961044,
0.014672471210360527,
0.01868562214076519,
-0.0002832452591974288,
0.006915344391018152,
-0.016023239120841026,
0.015426160767674446,
-0.0061322906985878944,
-0.009567939676344395,
0.03296656906604767,
-0.0033940491266548634,
-0.00956304557621479,
0.014290733262896538,
-0.015563195571303368,
0.014506072737276554,
0.04780543968081474,
0.018871597945690155,
0.050193753093481064,
-0.0037341881543397903,
0.05320851132273674,
-0.012411403469741344,
0.000224210336455144,
-0.041893381625413895,
-0.029990963637828827,
0.012352674268186092,
-0.00792841985821724,
-0.024764077737927437,
-0.051015958189964294,
0.0024274669121950865,
-0.023452462628483772,
-0.04784459248185158,
-0.03355385735630989,
-0.0747816413640976,
-0.016933539882302284,
-0.00018765762797556818,
0.024196363985538483,
0.027034934610128403,
0.0330057218670845,
0.014731200411915779,
0.02938409522175789,
-0.07685673981904984,
-0.0007237130776047707,
-0.03208563104271889,
-0.04389016702771187,
0.027093663811683655,
-0.003743976354598999,
-0.010659320279955864,
-0.040405578911304474,
-0.01304763462394476,
-0.06276176869869232,
0.012391827069222927,
0.011706654913723469,
0.016688834875822067,
0.061469726264476776,
-0.03190944343805313,
0.023863567039370537,
-0.007297083269804716,
-0.006009938195347786,
0.02893383987247944,
0.004350842908024788,
-0.0007255483651533723,
-0.006313371937721968,
0.002272079698741436,
0.00837378203868866,
0.033455975353717804,
-0.012665895745158195,
-0.03034333698451519,
0.052503760904073715,
-0.03349512815475464,
-0.005951209459453821,
0.02315881848335266,
-0.000490632199216634,
0.04627848416566849,
-0.0007010779227130115,
-0.021122878417372704,
0.06456279009580612,
0.03856540098786354,
0.011481527239084244,
0.10712176561355591,
0.04737475886940956,
0.02079007960855961,
-0.008501028642058372,
-0.05583174154162407,
0.05794598534703255,
0.06017768755555153,
-0.033749621361494064,
0.03880031779408455,
0.01217648759484291,
0.016698623076081276,
0.027857141569256783,
-0.04964561387896538,
0.02495984174311161,
-0.013517467305064201,
-0.012812718749046326,
0.011814325116574764,
-0.009983936324715614,
-0.026330186054110527,
0.02869892306625843,
-0.013752383179962635,
0.00584843335673213,
0.04232406243681908,
-0.017325066030025482,
-0.0539524108171463,
-0.021690592169761658,
0.034199878573417664,
0.007380282506346703,
-0.07325468957424164,
0.045769497752189636,
-0.028013750910758972,
0.06045175716280937,
-0.008701685816049576,
-0.007394964806735516,
-0.0027676059398800135,
-0.008021407760679722,
0.029990963637828827,
0.054069869220256805,
-0.010395039804279804,
-0.05281698331236839,
-0.0032154149375855923,
-0.01285187155008316,
-0.0512508749961853,
-0.01461374294012785,
-0.014623531140387058,
-0.007717974483966827,
0.0013042740756645799,
0.043381184339523315,
-0.04079710692167282,
-0.056536488234996796,
-0.035315729677677155,
-0.0033181908074766397,
0.01853880099952221,
0.016326673328876495,
-0.03639242798089981,
0.012156911194324493,
0.02188635617494583,
0.010845296084880829,
0.011373857036232948,
0.014643107540905476,
0.08128099143505096,
-0.04623933136463165,
-0.0043875486589968204,
-0.0011152400402352214,
0.006274219136685133,
0.015798112377524376,
-0.0008974531083367765,
0.009807749651372433,
-0.007027908228337765,
0.02766137756407261,
-0.06436702609062195,
-0.00481822807341814,
0.01303784642368555,
0.010600592009723186,
-0.041071176528930664,
-0.05637987703084946,
-0.01688459888100624,
-0.004341054707765579,
0.007590728346258402,
-0.00326190865598619,
0.06569822132587433,
-0.027837565168738365,
0.019713381305336952,
-0.05066358298063278,
0.01513251569122076,
-0.044868987053632736,
-0.04158015921711922,
-0.04917578399181366,
0.007429223507642746,
-0.07348960638046265,
0.02480323053896427,
0.035609375685453415,
-0.016727987676858902,
-0.04819696396589279,
-0.03594217076897621,
-0.03958337381482124,
-0.04475152865052223,
-0.01846049539744854,
-0.03944633901119232,
-0.0393093042075634,
0.007952890358865261,
-0.04220660403370857,
-0.007703292183578014,
0.0009506763308309019,
-0.03639242798089981,
0.020809656009078026,
0.04670916125178337,
0.03911354020237923,
-0.013057422824203968,
0.006381888873875141,
0.045847803354263306,
-0.008305264636874199,
0.06182210147380829,
0.01793193258345127,
-0.010610380209982395,
-0.03431733697652817,
0.0068566151894629,
-0.06444533169269562,
-0.013517467305064201,
-0.027113240212202072,
-0.026251880452036858,
-0.002120363060384989,
0.026741288602352142,
0.05015460029244423,
0.06836060434579849,
0.009220459498465061,
0.002164409728720784,
0.015054210089147091,
-0.03384750336408615,
0.012382038868963718,
0.04991968348622322,
-0.00014231086242944002,
0.023648226633667946,
0.006254642736166716,
-0.006254642736166716,
-0.053482577204704285,
0.01035588700324297,
0.025801625102758408,
-0.008011619560420513,
0.019938508048653603,
-0.009254718199372292,
0.041893381625413895,
0.021690592169761658,
-0.019615499302744865,
-0.030656559392809868,
-0.03737124428153038,
0.011461950838565826,
0.0512508749961853,
-0.0042676436714828014,
-0.03954422101378441,
0.07278485596179962,
0.05943378806114197,
-0.012753989547491074,
-0.07505571097135544,
-0.0137132303789258,
-0.054970379918813705,
-0.017099939286708832,
-0.03903523460030556,
0.002029822440817952,
-0.010629955679178238,
-0.062370240688323975,
0.006117608398199081,
-0.001136039849370718,
0.0022463856730610132,
0.01225479319691658,
0.02975604683160782,
-0.05164240300655365,
0.027896294370293617,
0.028816381469368935,
0.005133897066116333,
0.01217648759484291,
-0.04169761762022972,
0.0010130759328603745,
-0.017471889033913612,
-0.04545627534389496,
0.035589799284935,
-0.0077620213851332664,
0.013497890904545784,
0.024568315595388412,
-0.021416522562503815,
0.01521082129329443,
0.026114845648407936,
-0.06280092149972916,
0.02249322272837162,
0.016542011871933937,
-0.005770128220319748,
-0.012949753552675247,
-0.01740337163209915,
-0.009783279150724411,
0.013908994384109974,
-0.01994829624891281,
-0.07435096055269241,
0.04424254223704338,
0.015445737168192863,
0.026349762454628944,
-0.048392727971076965,
-0.05269952490925789,
-0.06875213235616684,
0.0012418745318427682,
-0.04251982271671295,
-0.04048388451337814,
-0.033964961767196655,
-0.04980222508311272,
-0.008452087640762329,
0.011158517561852932,
-0.022160423919558525,
0.00034075079020112753,
0.05872903764247894,
-0.011931783519685268,
0.019312065094709396,
-0.029501553624868393,
0.04804035276174545,
-0.014770353212952614,
-0.012313521467149258,
0.04776628687977791,
0.03907438740134239,
-0.020222365856170654,
0.051994774490594864,
-0.012949753552675247,
-0.014300521463155746,
-0.02188635617494583,
-0.009802855551242828,
0.012626743875443935,
0.02899256907403469,
0.019742745906114578,
-0.021259911358356476,
-0.048236116766929626,
0.018861809745430946,
0.0034234134946018457,
-0.008393358439207077,
-0.01487802341580391,
0.016160273924469948,
0.010855084285140038,
0.06041260436177254,
0.03594217076897621,
0.015445737168192863,
0.02570374310016632,
-0.010610380209982395,
0.016571376472711563,
0.038467518985271454,
0.037919383496046066,
0.03488504886627197,
0.029560282826423645,
-0.021338216960430145,
-0.034571826457977295,
-0.021240336820483208,
0.005657563917338848,
0.003851646091789007,
-0.07270655035972595,
0.014153698459267616,
-0.043302878737449646,
0.0814376026391983,
0.017511041834950447,
0.027602648362517357,
-0.052347149699926376,
-0.003347555175423622,
0.019713381305336952,
0.004859827924519777,
-0.0025057722814381123,
0.03983786329627037,
0.03831091150641441,
0.01176538411527872,
0.02697620540857315,
0.008545075543224812,
-0.020065754652023315,
-0.011833901517093182,
-0.023511191830039024,
-0.03474801406264305,
0.027817988768219948,
-0.017765535041689873,
0.03138088434934616,
0.031498342752456665,
0.046004414558410645,
0.00888766162097454,
-0.009112789295613766,
-0.010982329957187176,
0.03204647824168205,
-0.008691897615790367,
0.04901917278766632,
0.05313020572066307,
0.0005484435823746026,
0.026956629008054733,
0.041071176528930664,
0.020809656009078026,
0.04964561387896538,
-0.018343036994338036,
0.010062241926789284,
-0.024157211184501648,
-0.0021668567787855864,
-0.017530618235468864,
0.07023993134498596,
-0.016718199476599693,
-0.007649457547813654,
-0.022160423919558525,
0.03437606617808342,
-0.0175697710365057,
-0.008491240441799164,
-0.014427767135202885,
0.012724624946713448,
0.05007629469037056,
-0.024157211184501648,
-0.02272813767194748,
-0.018577951937913895,
0.02490111254155636,
-0.008481452241539955,
0.00796267855912447,
-0.00040284451097249985,
-0.029951810836791992,
-0.06761670112609863,
0.027328578755259514,
-0.010845296084880829,
-0.010081818327307701,
-0.02488153614103794,
-0.03521784767508507,
-0.0059707858599722385,
-0.028659772127866745,
-0.031733255833387375,
-0.012479920871555805,
-0.02609526924788952,
-0.003648541634902358,
0.011256399564445019,
-0.017902567982673645,
0.009142153896391392,
0.03190944343805313,
-0.03547234088182449,
-0.0315374955534935,
-0.006900662090629339,
0.007864797487854958,
0.037704043090343475,
0.03453267365694046,
0.01487802341580391,
-0.007727762684226036,
-0.002936451928690076,
-0.002477631438523531,
-0.06119566038250923,
-0.0030979567673057318,
0.00018750468734651804,
0.010649532079696655,
-0.03744954988360405,
-0.015974298119544983,
-0.036137934774160385,
-0.009426010772585869,
-0.005613517481833696,
-0.012812718749046326,
-0.0013165093259885907,
-0.012479920871555805,
0.02355034463107586,
-0.026545526459813118,
0.03901565819978714,
0.021357793360948563,
-0.0022769737988710403,
0.04400762543082237,
-0.02726985141634941,
0.003836963791400194,
0.04702238366007805,
0.046004414558410645,
-0.0012290275190025568,
-0.007757127285003662,
0.0018193767173215747,
-0.019615499302744865,
0.033455975353717804,
0.04545627534389496,
0.024039752781391144,
-0.03490462526679039,
-0.0003924445773009211,
0.019449099898338318,
0.006866403389722109,
-0.014574590139091015,
-0.0009861584985628724,
0.005398177541792393,
0.040170662105083466,
-0.019830839708447456,
-0.019635075703263283,
0.005266037303954363,
-0.015318491496145725,
0.07341130077838898,
0.03821302950382233,
0.0077767036855220795,
0.03204647824168205,
-0.022767290472984314,
-0.021181607618927956,
-0.028738075867295265,
-0.038839470595121384,
-0.0352570004761219,
-0.012714836746454239,
-0.049880530685186386,
-0.05704547464847565,
-0.0037904700729995966,
-0.014359249733388424,
-0.031126391142606735,
-0.005726081319153309,
0.003577577415853739,
0.02413763478398323,
-0.0010246994206681848,
0.0723150223493576,
0.01929248869419098,
-0.02302178367972374,
-0.011422798037528992,
0.00875062681734562,
-0.05070273578166962,
0.010218853130936623,
0.04475152865052223,
0.03938760980963707,
0.053247664123773575,
0.03214436024427414,
-0.0051877317018806934,
0.014104757457971573,
0.016865022480487823,
-0.07023993134498596,
0.01472141221165657,
-0.03263377025723457,
-0.014320097863674164,
0.01770680584013462,
-0.0026452539023011923,
0.015435948967933655,
0.014134122058749199,
0.02548840269446373,
0.06558076292276382,
-0.015886204317212105,
0.020653044804930687,
0.045260511338710785,
-0.016835657879710197,
0.026545526459813118,
-0.018577951937913895,
-0.05598834902048111,
-0.01386005338281393,
0.029266638681292534,
0.036881837993860245,
-0.02108372561633587,
-0.0036142829339951277,
0.0648760125041008,
0.018029814586043358,
-0.03461097925901413,
-0.023883143439888954,
-0.015054210089147091,
-0.028581466525793076,
0.045769497752189636,
-0.03140046074986458,
-0.009298764169216156,
0.011256399564445019,
0.040170662105083466,
-0.001984552014619112,
0.037488702684640884,
0.032692499458789825,
-0.02885553427040577,
0.006215489935129881,
0.011902418918907642,
0.03627496957778931,
-0.0016786716878414154,
0.023785261437296867,
-0.0620570182800293,
0.0041379500180482864,
-0.02535136789083481,
0.014114545658230782,
0.022551951929926872,
-0.056027501821517944,
-0.02092711441218853,
0.0016370719531551003,
0.01042440440505743,
0.021279487758874893,
-0.014525649137794971,
0.04737475886940956,
-0.009567939676344395,
0.014134122058749199,
0.08026301860809326,
-0.017618712037801743,
-0.006137184798717499,
0.027602648362517357,
0.024529162794351578,
0.053482577204704285,
0.018323460593819618,
-0.013253186829388142,
-0.0033964961767196655,
0.012235216796398163,
0.0223561879247427,
0.017158668488264084,
-0.0319877490401268,
0.009988830424845219,
0.02390271984040737,
-0.008505922742187977,
-0.030519524589180946,
-0.029912658035755157,
0.009842008352279663,
0.002384643768891692,
0.009470057673752308,
-0.0010363227920606732,
0.009328128769993782,
-0.025057723745703697,
0.013086787424981594,
0.02631060965359211,
0.0017900122329592705,
0.0069055561907589436,
-0.00247640791349113,
-0.004000915680080652,
-0.024861959740519524,
0.031106814742088318,
0.009435798972845078,
-0.012822506949305534,
-0.004823122173547745,
0.0070964256301522255,
-0.01927291229367256,
0.0310872383415699,
-0.016404978930950165,
0.0421282984316349,
-0.0447123758494854,
0.052582066506147385,
-0.028640195727348328,
-0.06988755613565445,
-0.024998994544148445,
0.05230799689888954,
-0.006058879196643829,
0.039759561419487,
-0.005520529579371214,
-0.012802930548787117,
0.0010161347454413772,
0.03451309725642204,
-0.01770680584013462,
0.04228490963578224,
-0.029168756678700447,
-0.060138534754514694,
-0.011618562042713165,
0.004509900696575642,
-0.012763777747750282,
0.004071880131959915,
0.04635678976774216,
0.02241491712629795,
-0.03611835837364197,
-0.024157211184501648,
-0.023824414238333702,
0.020516011863946915,
0.03443479165434837,
0.03171367943286896,
0.014731200411915779,
-0.04886256158351898,
0.003553106915205717,
0.02063346840441227,
0.028444431722164154,
-0.04432084783911705,
-0.0030685923993587494,
-0.009915419854223728,
0.026800017803907394,
-0.0814376026391983,
-0.053247664123773575,
-0.07204095274209976,
-0.008633168414235115,
0.02601696364581585,
-0.013331491500139236,
0.011873054318130016,
-0.0011458280496299267,
-0.011970935389399529,
0.011236823163926601,
-0.06804738193750381,
-0.01058101560920477,
0.035022083669900894,
0.01847028359770775,
-0.043381184339523315,
0.020907538011670113,
0.012832295149564743,
-0.013615349307656288,
-0.0007732656667940319,
-0.02959943562746048,
-0.00888766162097454,
-0.04365525394678116,
0.00009994642459787428,
-0.03537445887923241,
-0.01577853597700596,
-0.006925132591277361,
0.04588695615530014,
-0.014280945062637329,
-0.014662683941423893,
0.026056116446852684,
-0.018881386145949364,
0.048471033573150635,
0.010522286407649517,
0.0062105958350002766,
0.008540181443095207,
0.006871297489851713,
0.037116751074790955,
-0.02938409522175789,
0.0639754980802536,
0.0210054200142622,
0.0692611113190651,
0.021475251764059067,
0.02167101576924324,
0.009411328472197056,
-0.026721712201833725,
0.011217246763408184,
-0.009489634074270725,
0.012802930548787117,
0.012548438273370266,
0.024607468396425247,
-0.029795199632644653,
0.03895692899823189,
-0.03063698299229145,
-0.011970935389399529,
-0.013174881227314472,
-0.027680953964591026,
-0.00508495606482029,
0.011882842518389225,
0.002936451928690076,
-0.018206002190709114,
0.030911050736904144,
0.009944784455001354,
0.013214034028351307,
0.008564651943743229,
0.0056624580174684525,
0.02660425566136837,
-0.014310309663414955,
-0.0012736860662698746,
0.04447745904326439,
-0.04960646107792854,
-0.03682310879230499,
0.013165093027055264,
0.013390220701694489,
0.01748167723417282,
0.05461800843477249,
0.0038589872419834137,
0.012842083349823952,
0.0019710934720933437,
0.016630105674266815,
-0.022551951929926872,
-0.024157211184501648,
-0.09412307292222977,
0.014329886063933372,
-0.031811561435461044,
0.014417978934943676,
0.023060936480760574,
0.02683917060494423,
-0.004204020369797945,
-0.003195838537067175,
-0.00481822807341814,
-0.03878074139356613,
-0.007855009287595749,
0.02429424598813057,
-0.027485189959406853,
0.02848358452320099,
0.006680428050458431,
0.07732656598091125,
-0.02474450133740902,
-0.014809506013989449,
-0.02541009709239006,
-0.026584679260849953,
-0.05524444952607155,
-0.013253186829388142,
0.027524342760443687,
-0.02435297518968582,
0.02795502357184887,
0.008138866163790226,
-0.04298965632915497,
0.03870243579149246,
0.012538650073111057,
-0.03564852848649025,
-0.009377069771289825,
-0.002872828859835863,
-0.052347149699926376,
-0.007473270408809185,
-0.05066358298063278,
0.0011342045618221164,
-0.01868562214076519,
0.005921844858676195,
-0.053169358521699905,
0.01674756407737732,
0.0035555539652705193,
-0.03562895208597183,
-0.02458789199590683,
0.018529012799263,
0.03803684189915657,
-0.01326297502964735,
0.031420037150382996,
0.03124384954571724,
0.021396946161985397,
0.02047685906291008,
-0.0076005165465176105,
-0.041306089609861374,
-0.013497890904545784,
0.013752383179962635,
0.02024194225668907,
-0.01742294803261757,
0.015220609493553638,
-0.024020176380872726,
0.046670008450746536,
0.04588695615530014,
0.020016813650727272,
-0.01666925847530365,
0.024764077737927437,
-0.00517304940149188,
0.03286868706345558,
0.019781898707151413,
-0.01562192477285862,
0.03267292305827141,
0.03850667178630829,
0.007634775247424841,
-0.005009097512811422,
-0.05618411302566528,
0.03373004496097565,
-0.016630105674266815,
0.007443905808031559,
0.03177240863442421,
-0.025155605748295784,
0.03355385735630989,
0.03993574529886246,
-0.01116830576211214,
0.019106514751911163,
0.009019801393151283,
-0.0002232927072327584,
-0.021318640559911728,
-0.02854231372475624,
-0.004294561222195625,
0.0324380062520504,
-0.0137132303789258,
0.0005845374544151127,
-0.0012388157192617655,
0.0063574183732271194,
-0.009215565398335457,
-0.0027847352903336287,
0.005368812941014767,
-0.008564651943743229,
-0.02893383987247944,
-0.020418129861354828,
-0.03151791915297508,
-0.01577853597700596,
-0.046670008450746536,
-0.0068908738903701305,
0.031106814742088318,
0.020202789455652237,
-0.006469982676208019,
0.07384198158979416,
0.0034625662956386805,
0.014760565012693405,
0.0379585362970829,
-0.0075271050445735455,
0.014594166539609432,
0.04479068145155907,
-0.007262824568897486,
0.005060485564172268,
0.004974838811904192,
-0.009269400499761105,
0.017550194635987282,
-0.02116203121840954,
-0.011530468240380287,
-0.00025816308334469795,
-0.05129002779722214,
0.039759561419487,
-0.014408190734684467,
-0.02122076041996479,
0.0024837490636855364,
-0.008359099738299847,
-0.026056116446852684,
0.0223561879247427,
0.015142303891479969,
-0.04479068145155907,
-0.023217547684907913,
-0.015719806775450706,
-0.005598835181444883,
0.009567939676344395,
0.0215144045650959,
0.05344342440366745,
0.0675775483250618,
-0.0034919308964163065,
0.047648828476667404,
-0.03717548027634621,
-0.03619666397571564,
0.04870595037937164,
0.012225428596138954,
-0.02315881848335266,
0.0015856840182095766,
0.011784960515797138,
-0.004852486774325371,
0.02586035430431366,
-0.020535588264465332,
0.0447123758494854,
0.010962753556668758,
0.006376994773745537,
0.03463055565953255,
-0.03447394445538521,
-0.00956304557621479,
-0.006714686751365662
] |
The Versatile Video Coding (VVC) standard has been recently finalized by the
Joint Video Exploration Team (JVET). Compared to the High Efficiency Video
Coding (HEVC) standard, VVC offers about 50% compression efficiency gain, in
terms of Bjontegaard Delta-Rate (BD-rate), at the cost of a 10-fold increase in
encoding complexity. In this paper, we propose a method based on Convolutional
Neural Network (CNN) to speed up the inter partitioning process in VVC.
Firstly, a novel representation for the quadtree with nested multi-type tree
(QTMT) partition is introduced, derived from the partition path. Secondly, we
develop a U-Net-based CNN taking a multi-scale motion vector field as input at
the Coding Tree Unit (CTU) level. The purpose of CNN inference is to predict
the optimal partition path during the Rate-Distortion Optimization (RDO)
process. To achieve this, we divide CTU into grids and predict the Quaternary
Tree (QT) depth and Multi-type Tree (MT) split decisions for each cell of the
grid. Thirdly, an efficient partition pruning algorithm is introduced to employ
the CNN predictions at each partitioning level to skip RDO evaluations of
unnecessary partition paths. Finally, an adaptive threshold selection scheme is
designed, making the trade-off between complexity and efficiency scalable.
Experiments show that the proposed method can achieve acceleration ranging from
16.5% to 60.2% under the RandomAccess Group Of Picture 32 (RAGOP32)
configuration with a reasonable efficiency drop ranging from 0.44% to 4.59% in
terms of BD-rate, which surpasses other state-of-the-art solutions.
Additionally, our method stands out as one of the lightest approaches in the
field, which ensures its applicability to other encoders. | [
-0.006439673248678446,
0.041999075561761856,
-0.033351119607686996,
0.018027381971478462,
0.027999384328722954,
-0.005398029461503029,
-0.005129517056047916,
0.053665485233068466,
-0.0434805266559124,
0.045184191316366196,
0.03142523393034935,
-0.07162805646657944,
0.02164767123758793,
-0.0469248928129673,
-0.010471992194652557,
0.05914684757590294,
0.02018474042415619,
0.0023645313922315836,
0.0014305240474641323,
-0.03753621131181717,
0.01933290809392929,
-0.0041966671124100685,
-0.02362911030650139,
-0.023703182116150856,
-0.007157249841839075,
0.026425344869494438,
0.0115182651206851,
0.034332577139139175,
-0.05518397316336632,
0.04933224990963936,
0.02449946105480194,
0.01627741940319538,
-0.009370164014399052,
0.015203369781374931,
0.009916448965668678,
0.005430436227470636,
0.048369307070970535,
0.03005489520728588,
-0.05281365290284157,
0.010842354036867619,
0.023518001660704613,
0.019536606967449188,
-0.008439629338681698,
0.0012592315906658769,
0.02807345613837242,
-0.03940654173493385,
-0.02488834224641323,
-0.02135138213634491,
0.022369878366589546,
-0.012305284850299358,
0.03966579586267471,
-0.009536826983094215,
0.031925223767757416,
0.013657107017934322,
-0.0024814268108457327,
0.006152642425149679,
0.038554709404706955,
0.06344304978847504,
0.0286289993673563,
0.054998788982629776,
0.03559181094169617,
-0.006013756617903709,
-0.02927713468670845,
0.004874892998486757,
-0.03211040422320366,
-0.05110998824238777,
-0.005485990550369024,
0.03409184142947197,
0.00022684686700813472,
-0.028684554621577263,
-0.07777606695890427,
-0.037128813564777374,
-0.023999473080039024,
0.024166135117411613,
0.02251802384853363,
-0.00573598500341177,
0.03516589477658272,
0.0031318755354732275,
0.004995260387659073,
0.08385001122951508,
0.008740548975765705,
0.04977668449282646,
-0.06385044753551483,
-0.04314719885587692,
0.07022067904472351,
-0.023277265951037407,
-0.009041467681527138,
-0.057665400207042694,
0.015647804364562035,
0.01793478988111019,
-0.05014704540371895,
-0.000478288100566715,
0.021518046036362648,
-0.05385066941380501,
-0.016888517886400223,
0.041739821434020996,
-0.011805295944213867,
-0.017823681235313416,
-0.028999362140893936,
-0.0217402633279562,
-0.026980888098478317,
0.010083111934363842,
0.022314324975013733,
-0.0256105475127697,
0.07814642786979675,
-0.0581098347902298,
-0.033647406846284866,
0.024517979472875595,
0.040184300392866135,
0.08607218414545059,
0.009004431776702404,
0.014879302121698856,
0.040443554520606995,
-0.007634091190993786,
-0.002613368444144726,
-0.04166575148701668,
-0.07866493612527847,
-0.06744296103715897,
-0.005069333128631115,
0.002543925540521741,
0.043850887566804886,
0.025073522701859474,
-0.03814730793237686,
0.06477635353803635,
-0.01582372561097145,
0.05692467465996742,
-0.031110426411032677,
0.00038772294647060335,
-0.010629395954310894,
-0.020221777260303497,
-0.040147263556718826,
-0.036091797053813934,
-0.04511011764407158,
-0.011083089746534824,
0.03666586056351662,
0.03018452227115631,
0.0037823242601007223,
-0.00587487081065774,
0.04159167781472206,
-0.0016284363809973001,
0.04748043790459633,
-0.028314191848039627,
0.00794427003711462,
0.020888429135084152,
0.013620071113109589,
0.031925223767757416,
0.01874958723783493,
0.03742510452866554,
-0.0006452404195442796,
0.02694385126233101,
-0.012008994817733765,
0.04077688232064247,
-0.01399043295532465,
0.05018408223986626,
0.05803576111793518,
0.03668437898159027,
0.0024374464992433786,
0.04644342139363289,
0.0014293667627498507,
-0.04511011764407158,
0.048147089779376984,
-0.04448050260543823,
-0.03590661659836769,
0.0675911083817482,
0.018175525590777397,
0.00810630340129137,
0.05229514464735985,
0.0035114968195557594,
-0.013046009466052055,
0.040962062776088715,
0.04633231461048126,
-0.005106369033455849,
0.03903617709875107,
0.0022210159804672003,
-0.031962260603904724,
-0.0018113027326762676,
0.02209210768342018,
-0.02453649789094925,
-0.05651727691292763,
-0.028851216658949852,
-0.0667392760515213,
-0.023703182116150856,
0.039332468062639236,
0.004585547372698784,
0.022999493405222893,
0.03668437898159027,
0.08103525638580322,
0.001689777709543705,
0.019277354702353477,
0.01605520211160183,
0.06496153771877289,
0.05462842807173729,
0.07999823987483978,
0.010583100840449333,
0.018897732719779015,
-0.07440577447414398,
-0.0005075120134279132,
-0.01767553761601448,
0.027740130200982094,
0.0331474207341671,
0.012138621881604195,
0.01532373670488596,
0.013138599693775177,
-0.008198893629014492,
0.0159255750477314,
-0.020092150196433067,
-0.0010497454786673188,
-0.03486960381269455,
0.016073720529675484,
-0.025777211412787437,
-0.0156015083193779,
-0.013296003453433514,
-0.05092480778694153,
0.009370164014399052,
-0.0025670730974525213,
0.003286964725703001,
-0.01517559215426445,
-0.007323912810534239,
-0.029517868533730507,
-0.001337933586910367,
0.025166112929582596,
-0.005046185106039047,
0.008064637891948223,
-0.048961885273456573,
-0.06636890769004822,
-0.05229514464735985,
0.02424020692706108,
-0.02729569561779499,
-0.013721920549869537,
0.04955446720123291,
-0.024980932474136353,
-0.01104605384171009,
-0.01132382545620203,
-0.028166046366095543,
0.033851105719804764,
-0.05992460995912552,
-0.01248120702803135,
-0.03296223655343056,
-0.03290668502449989,
0.007254470139741898,
-0.0413324236869812,
0.03061043843626976,
-0.027017924934625626,
0.03577699139714241,
0.010027557611465454,
0.0329437181353569,
0.006194308400154114,
0.0607023686170578,
0.027406804263591766,
-0.02772161178290844,
0.03103635460138321,
-0.02157359942793846,
0.014916338957846165,
0.02251802384853363,
-0.011527524329721928,
-0.0019918542820960283,
0.016592226922512054,
-0.030573401600122452,
-0.0191662460565567,
-0.02707347832620144,
0.013971914537250996,
0.015379291027784348,
-0.022147661074995995,
0.020518068224191666,
-0.024295762181282043,
0.025129076093435287,
0.036480680108070374,
0.022203216329216957,
-0.027573468163609505,
-0.020425476133823395,
0.050221119076013565,
-0.01946253515779972,
-0.04022133722901344,
-0.05455435439944267,
0.01962919719517231,
-0.038591742515563965,
-0.017471838742494583,
0.016490377485752106,
0.07181323319673538,
0.007032252848148346,
0.015462622977793217,
-0.00012398454418871552,
-0.02953638695180416,
0.052591435611248016,
-0.03966579586267471,
-0.04129538685083389,
-0.020055115222930908,
-0.00919424183666706,
-0.0637023001909256,
-0.011814555153250694,
-0.0019166244892403483,
0.0581098347902298,
-0.0572579987347126,
-0.02092546597123146,
0.03707325831055641,
0.014684862457215786,
-0.06314676254987717,
-0.04588788002729416,
0.03848063573241234,
-0.03264743089675903,
-0.03112894482910633,
0.015351514331996441,
0.02359207347035408,
0.0035670511424541473,
-0.10555323213338852,
-0.027740130200982094,
0.011249752715229988,
0.054998788982629776,
0.01573113538324833,
-0.03870285302400589,
0.012370098382234573,
0.028036421164870262,
-0.007860938087105751,
0.01444412674754858,
-0.029221579432487488,
0.020721767097711563,
-0.002935120603069663,
-0.00036949419882148504,
-0.015221887268126011,
0.0026295718271285295,
0.016620004549622536,
0.036443643271923065,
-0.05585062503814697,
0.029943786561489105,
0.009481272660195827,
0.02018474042415619,
-0.02849937416613102,
0.016842221841216087,
-0.04429532214999199,
0.021536562591791153,
-0.013499703258275986,
-0.0391843244433403,
0.010666431859135628,
-0.001594872330315411,
0.012638610787689686,
0.03870285302400589,
-0.014333018101751804,
-0.00630541704595089,
-0.012879346497356892,
-0.023610591888427734,
-0.014777452684938908,
-0.016842221841216087,
0.04825819656252861,
-0.0010422224877402186,
-0.018823660910129547,
-0.034369613975286484,
-0.03357333689928055,
-0.01855514757335186,
-0.01614779233932495,
0.0017268138471990824,
0.0010260191047564149,
0.015916315838694572,
0.01485152542591095,
-0.00911554042249918,
0.017666278406977654,
-0.029203061014413834,
-0.04099909961223602,
0.04659156873822212,
-0.020888429135084152,
-0.007194286212325096,
0.044406432658433914,
-0.006245233118534088,
-0.04673971235752106,
0.006157272029668093,
-0.09488680213689804,
-0.00749983498826623,
-0.03022155724465847,
-0.027406804263591766,
-0.005073962267488241,
0.02824012003839016,
0.043591633439064026,
0.035758472979068756,
-0.0034814048558473587,
-0.006291528232395649,
-0.06229492649435997,
-0.010573841631412506,
0.022147661074995995,
-0.046036023646593094,
-0.03688807785511017,
0.04114724323153496,
-0.03903617709875107,
0.04488790035247803,
0.023925399407744408,
-0.04640638828277588,
0.04536937177181244,
0.048924848437309265,
-0.001725656446069479,
-0.05255439877510071,
-0.06103569641709328,
-0.0017974141519516706,
0.00706003000959754,
-0.01106457132846117,
-0.01489782053977251,
-0.06073940545320511,
0.014277463778853416,
0.01650889590382576,
-0.018740328028798103,
-0.012870087288320065,
-0.0003793319338001311,
-0.04966557398438454,
-0.017731091007590294,
0.024610569700598717,
0.02333281934261322,
0.024943895637989044,
-0.010018298402428627,
0.05455435439944267,
-0.04233240336179733,
0.007569278124719858,
-0.014860784634947777,
-0.019055137410759926,
-0.004543881397694349,
-0.05307290703058243,
-0.06981328129768372,
-0.0753316730260849,
0.012508983723819256,
0.04933224990963936,
0.015647804364562035,
-0.026721633970737457,
-0.010703468695282936,
-0.010175702162086964,
-0.058961667120456696,
0.021240273490548134,
0.009916448965668678,
0.02342541143298149,
0.06525782495737076,
0.06207270920276642,
0.0076757571659982204,
-0.00632856460288167,
-0.009360904805362225,
0.07903529703617096,
-0.003067062236368656,
-0.05914684757590294,
0.0027129033114761114,
-0.030628956854343414,
-0.00675911083817482,
0.0005066439625807106,
-0.0025323517620563507,
0.0017499615205451846,
-0.02820308320224285,
0.011962699703872204,
0.007546130567789078,
0.02177729830145836,
0.004291572142392397,
-0.019906969740986824,
-0.06681334227323532,
-0.027777167037129402,
0.011536783538758755,
-0.044369395822286606,
-0.07859086245298386,
-0.01855514757335186,
-0.05666542053222656,
0.022203216329216957,
-0.07459095120429993,
-0.021684708073735237,
0.01612001657485962,
-0.020129187032580376,
-0.014157095924019814,
-0.022443950176239014,
0.015870021656155586,
-0.04581380635499954,
0.0012326118303462863,
0.051295168697834015,
0.028147529810667038,
-0.08073896169662476,
-0.02596239186823368,
0.013453408144414425,
-0.027091996744275093,
-0.037869539111852646,
0.011240493506193161,
-0.03944357857108116,
-0.014786711893975735,
-0.020684730261564255,
0.03388814255595207,
0.016295937821269035,
0.0447767935693264,
-0.01962919719517231,
-0.0011394425528123975,
-0.06959106028079987,
0.01618482917547226,
0.021203236654400826,
0.019295871257781982,
-0.02040695771574974,
0.07199841737747192,
0.0230365302413702,
0.001972178928554058,
0.020592140033841133,
0.0006168845575302839,
-0.010453473776578903,
0.039332468062639236,
-0.018008863553404808,
0.015916315838694572,
-0.02661052532494068,
-0.023740218952298164,
0.021518046036362648,
-0.04029541090130806,
-0.0011672197142615914,
-0.03457331284880638,
-0.02999933995306492,
0.062183815985918045,
0.05748021602630615,
-0.038554709404706955,
-0.009254425764083862,
-0.025777211412787437,
0.00589801836758852,
-0.05799872428178787,
-0.01018496137112379,
0.03781398385763168,
0.032573357224464417,
-0.05459139123558998,
-0.010555323213338852,
0.0031665971037000418,
0.028314191848039627,
-0.02875862643122673,
-0.011870109476149082,
-0.02574017457664013,
-0.013833029195666313,
0.024610569700598717,
-0.0033355748746544123,
-0.004351756069809198,
0.02574017457664013,
0.0036364940460771322,
-0.008467406034469604,
-0.01728665642440319,
0.03159189969301224,
0.0018413946963846684,
0.02479575015604496,
-0.02018474042415619,
-0.04318423569202423,
0.0615542009472847,
0.023925399407744408,
-0.015518177300691605,
0.014101541601121426,
-0.011036794632673264,
-0.04451753944158554,
0.0013194154016673565,
-0.0023552721831947565,
-0.04644342139363289,
0.020610658451914787,
-0.027277177199721336,
-0.02918454259634018,
0.009268314577639103,
0.026851261034607887,
-0.017434801906347275,
-0.019536606967449188,
-0.05877648666501045,
-0.02157359942793846,
0.012675647623836994,
-0.053924739360809326,
-0.023832809180021286,
-0.029036398977041245,
0.0123793575912714,
-0.033777035772800446,
-0.005046185106039047,
0.03888803347945213,
-0.028980843722820282,
0.0007303080055862665,
0.015314478427171707,
-0.02548092044889927,
-0.010703468695282936,
-0.032443732023239136,
0.003729084739461541,
-0.0012638610787689686,
0.004652675241231918,
-0.029351206496357918,
-0.03629549965262413,
0.002139999298378825,
-0.008347039110958576,
0.03585106506943703,
-0.023258747532963753,
0.014555235393345356,
0.01399043295532465,
-0.03520292788743973,
-0.0217402633279562,
-0.02849937416613102,
-0.006148012820631266,
-0.01504596509039402,
0.03349926322698593,
-0.007073918357491493,
-0.004247591830790043,
0.023055048659443855,
0.011268271133303642,
-0.01653667353093624,
0.012212694622576237,
0.03825841844081879,
0.06522078812122345,
-0.026110537350177765,
-0.013870065100491047,
-0.032184477895498276,
-0.022925421595573425,
-0.030277112498879433,
0.0030786360148340464,
0.052591435611248016,
-0.029110470786690712,
-0.022703204303979874,
0.022499505430459976,
-0.006152642425149679,
0.004620268940925598,
0.05040629953145981,
0.03499922901391983,
-0.023999473080039024,
-0.016620004549622536,
0.023480964824557304,
-0.02661052532494068,
0.0024258724879473448,
-0.0029559535905718803,
0.03190670534968376,
0.00738409673795104,
-0.01709221675992012,
0.021166201680898666,
0.017638500779867172,
-0.007680386770516634,
-0.022536542266607285,
0.016971848905086517,
0.021536562591791153,
0.015490399673581123,
0.016258900985121727,
0.032702986150979996,
0.00235180021263659,
-0.0111941983923316,
-0.018369967117905617,
0.01907365396618843,
-0.04425828531384468,
0.02759198658168316,
0.003219836624339223,
0.005185071378946304,
0.05403584986925125,
-0.035277001559734344,
-0.004986001644283533,
-0.01774035021662712,
-0.06403563171625137,
0.02840678207576275,
-0.011860850267112255,
-0.0247587151825428,
-0.010101629421114922,
-0.006018386222422123,
-0.030332665890455246,
-0.02483278699219227,
-0.010240515694022179,
0.006925773806869984,
0.0060507929883897305,
-0.07718348503112793,
0.014184873551130295,
-0.003979078959673643,
0.04081391543149948,
-0.007893345318734646,
0.0030091931112110615,
-0.004099446814507246,
-0.0031040983740240335,
0.027869757264852524,
0.037351030856370926,
0.025258703157305717,
0.014518199488520622,
0.015434845350682735,
0.057924650609493256,
-0.015721876174211502,
-0.013370076194405556,
0.04062873497605324,
-0.006648001726716757,
-0.0011932607740163803,
-0.01257379725575447,
0.023943917825818062,
0.02522166818380356,
0.019925488159060478,
-0.011703446507453918,
-0.014879302121698856,
-0.007397985551506281,
0.01429598219692707,
-0.010981240309774876,
-0.005453583784401417,
0.036702897399663925,
-0.001972178928554058,
-0.027406804263591766,
0.0002991832443512976,
0.04511011764407158,
0.04185093194246292,
-0.02359207347035408,
0.006064681336283684,
0.04136946052312851,
0.030665991827845573,
-0.022499505430459976,
0.005819316487759352,
-0.014064505696296692,
-0.0378880575299263,
0.030314147472381592,
-0.03449924290180206,
-0.014758934266865253,
0.03516589477658272,
-0.042776837944984436,
0.00587487081065774,
-0.0033309452701359987,
-0.014564494602382183,
0.023666147142648697,
0.06703556329011917,
-0.012008994817733765,
0.007657239213585854,
0.06914662569761276,
-0.009481272660195827,
0.010944203473627567,
0.0714799091219902,
-0.03755472972989082,
-0.0009617843898013234,
0.027777167037129402,
-0.01924031786620617,
-0.04551751911640167,
-0.03770287334918976,
0.012110845185816288,
-0.0036318646743893623,
0.025721656158566475,
-0.07025771588087082,
-0.04273980110883713,
0.003069377038627863,
0.03188818693161011,
0.0012870087521150708,
0.010897908359766006,
0.03892507031559944,
0.015055224299430847,
0.005430436227470636,
-0.0038239900022745132,
-0.008022971451282501,
0.005171182565391064,
0.032184477895498276,
0.08614625036716461,
-0.012212694622576237,
-0.0649985671043396,
-0.009152576327323914,
-0.0033494634553790092,
0.028999362140893936,
0.02011066861450672,
-0.02388836443424225,
-0.011833073571324348,
0.013453408144414425,
-0.008939618244767189,
-0.029647495597600937,
0.012768237851560116,
0.033517781645059586,
-0.002812438178807497,
0.0018726440612226725,
0.020869910717010498,
-0.02703644335269928,
0.00992570724338293,
-0.019703270867466927,
0.01298119593411684,
-0.007212804164737463,
0.0017048235749825835,
-0.030443774536252022,
-0.02294394001364708,
0.033128902316093445,
0.01719406619668007,
-0.02148100920021534,
-0.00749983498826623,
0.02686977945268154,
-0.01371266134083271,
0.010221997275948524,
-0.057887617498636246,
-0.032573357224464417,
0.012518242932856083,
0.018888473510742188,
0.01517559215426445,
0.010249774903059006,
-0.007860938087105751,
-0.006083199754357338,
0.030554883182048798,
-0.0023726329673081636,
-0.025814246386289597,
0.02388836443424225,
-0.03851767256855965,
0.01702740415930748,
0.013897842727601528,
0.015231146477162838,
-0.00679151713848114,
0.033425189554691315,
0.007884086109697819,
0.0684799775481224,
-0.07110954821109772,
-0.02196248061954975,
0.015749653801321983,
0.023092085495591164,
0.00665263133123517,
0.03427702561020851,
0.029499351978302002,
-0.08214633911848068,
0.016814444214105606,
0.05559137091040611,
0.020055115222930908,
-0.009175724349915981,
-0.020555103197693825,
0.002304347464814782,
-0.018860695883631706,
-0.00662948377430439,
0.024906858801841736,
-0.006087828893214464,
-0.01412006001919508,
0.019795861095190048,
-0.03470294177532196,
0.02268468588590622,
0.012620093300938606,
-0.008120192214846611,
0.007430392317473888,
-0.00662948377430439,
-0.018934769555926323,
0.05170256644487381,
0.0230365302413702,
-0.016647782176733017,
-0.0017557484097778797,
0.011240493506193161,
0.03448072448372841,
-0.05355437844991684,
0.0041040764190256596,
-0.01028681080788374,
0.02255505882203579,
-0.01429598219692707,
-0.03199929744005203,
0.0021874518133699894,
0.013907101936638355,
0.05073962360620499,
-0.044702719897031784,
0.012231212109327316,
-0.021073611453175545,
-0.032702986150979996,
0.008930359035730362,
-0.00028370326617732644,
0.032610394060611725,
0.00545821338891983,
-0.015314478427171707,
-0.05566544085741043,
-0.05140627548098564,
0.06562818586826324,
0.05170256644487381,
0.0020856023766100407,
0.00676836958155036,
0.04851745069026947,
0.02742532268166542,
-0.026073500514030457,
-0.00676836958155036,
-0.002377262571826577,
0.03538811206817627,
-0.0011730066034942865,
0.013638588599860668,
0.01101827621459961,
0.04322127252817154,
-0.002722162287682295,
0.03620290756225586,
-0.01949957199394703,
0.003786953864619136,
-0.024943895637989044,
-0.011333083733916283,
-0.010073852725327015,
0.013833029195666313,
0.01911069080233574,
-0.022277288138866425,
0.024351315572857857,
-0.016036683693528175,
0.02940675988793373,
-0.008573885075747967,
-0.015231146477162838,
0.00603690417483449,
-0.004539252258837223,
-0.002851789118722081,
0.00793038122355938,
-0.04422124847769737,
0.004749895539134741,
-0.024555016309022903,
0.0010115518234670162,
-0.028869735077023506,
0.019147727638483047,
-0.02853640913963318,
-0.0018923195311799645,
-0.011888627894222736,
0.00398139376193285,
-0.016295937821269035,
-0.017536651343107224,
0.008013712242245674,
0.021110646426677704,
0.039073213934898376,
-0.021129164844751358,
-0.04925817623734474,
-0.01059236004948616,
-0.00026460643857717514,
0.06577633321285248,
-0.00932386890053749,
0.0011353916488587856,
-0.005513767711818218,
0.04266572743654251,
0.013333040289580822,
0.03129560872912407,
-0.05733207240700722,
-0.022203216329216957,
-0.058702412992715836,
-0.0031480789184570312,
-0.045739736407995224,
0.005703578237444162,
0.06725777685642242,
-0.03425850719213486,
0.005351734347641468,
0.018934769555926323,
-0.030573401600122452,
0.0040323189459741116,
0.03779546543955803,
0.015212628059089184,
-0.026443863287568092,
0.005291550420224667,
-0.02849937416613102,
0.023277265951037407,
-0.047073040157556534,
0.026147572323679924,
0.013610811904072762,
0.019277354702353477,
-0.026295717805624008,
0.0021527304779738188,
-0.04325830936431885,
-0.02535129524767399,
-0.014536716975271702,
-0.033036310225725174,
-0.040443554520606995,
-0.013471925631165504,
0.03581402823328972,
-0.0027754020411521196,
-0.05214700102806091,
0.03970282897353172,
0.022851349785923958,
0.02849937416613102,
-0.012407134287059307,
-0.006138754077255726,
0.021203236654400826,
-0.03899914398789406,
-0.020425476133823395,
-0.026443863287568092,
-0.019777342677116394,
0.015120037831366062,
-0.0009722008253447711,
0.008907211944460869,
0.012768237851560116,
0.044628649950027466,
-0.04459161311388016,
0.05303587019443512,
0.03522144630551338,
0.004212870262563229,
-0.02501796744763851,
0.005495249293744564,
-0.00960164051502943,
-0.04340645298361778,
0.01806441694498062,
-0.01709221675992012,
0.028943808749318123,
0.021332863718271255,
-0.05877648666501045,
0.05692467465996742,
0.0026573489885777235,
-0.00031278247479349375,
0.046295277774333954,
-0.02983267791569233,
-0.005360993091017008,
-0.006573929451406002,
-0.0256105475127697,
-0.021388418972492218,
-0.019295871257781982,
-0.021129164844751358,
-0.01031458843499422,
-0.016925552859902382,
0.031832631677389145,
0.003192059462890029,
-0.04377681389451027,
-0.006300787441432476,
-0.014555235393345356,
0.010536805726587772,
-0.010684950277209282,
-0.04129538685083389,
-0.04722118377685547,
-0.00381473102606833,
0.02833271026611328,
-0.007999824360013008,
-0.06914662569761276,
0.020055115222930908,
0.03568439930677414,
-0.020592140033841133,
0.02203655242919922,
0.005948943085968494,
-0.044147178530693054,
0.013397853821516037,
-0.020221777260303497,
0.04973964765667915,
-0.015036706812679768,
0.0658504068851471,
-0.01257379725575447,
0.03212892264127731,
0.02759198658168316,
0.04955446720123291,
-0.02372170053422451,
-0.047332294285297394,
0.04959150031208992,
-0.036739934235811234,
0.05455435439944267,
0.033777035772800446,
-0.014833007007837296,
0.017647759988904,
0.021462490782141685,
0.031665969640016556,
-0.017758868634700775,
0.03516589477658272,
-0.01898106373846531,
-0.04325830936431885,
-0.02336985617876053,
-0.03836952522397041,
0.05485064536333084,
-0.008444258943200111,
0.029554905369877815,
0.006106347311288118,
0.03438813239336014,
-0.03783250227570534,
0.07151694595813751,
-0.062146782875061035,
-0.029462315142154694,
0.02436983399093151,
-0.011823814362287521,
-0.012684905901551247,
0.030277112498879433,
0.0010190748143941164,
0.04125835373997688,
-0.00009439896530238912,
0.00929146260023117,
0.027832720428705215,
-0.034980710595846176,
-0.008745177648961544,
-0.02720310539007187
] |
Recent studies suggest that the existing neural models have difficulty
handling repeated items in sequential recommendation tasks. However, our
understanding of this difficulty is still limited. In this study, we
substantially advance this field by identifying a major source of the problem:
the single hidden state embedding and static item embeddings in the output
softmax layer. Specifically, the similarity structure of the global item
embeddings in the softmax layer sometimes forces the single hidden state
embedding to be close to new items when copying is a better choice, while
sometimes forcing the hidden state to be close to the items from the input
inappropriately. To alleviate the problem, we adapt the recently-proposed
softmax alternatives such as softmax-CPR to sequential recommendation tasks and
demonstrate that the new softmax architectures unleash the capability of the
neural encoder on learning when to copy and when to exclude the items from the
input sequence. By only making some simple modifications on the output softmax
layer for SASRec and GRU4Rec, softmax-CPR achieves consistent improvement in 12
datasets. With almost the same model size, our best method not only improves
the average NDCG@10 of GRU4Rec in 5 datasets with duplicated items by 10%
(4%-17% individually) but also improves 7 datasets without duplicated items by
24% (8%-39%)! | [
-0.01314270868897438,
-0.0075501673854887486,
-0.04359995946288109,
0.017428580671548843,
0.022731278091669083,
0.010187261737883091,
-0.016611319035291672,
-0.0007400494650937617,
-0.028033975511789322,
0.017742181196808815,
0.0057588438503444195,
0.007013245485723019,
-0.0020372148137539625,
-0.05048016458749771,
0.03320363163948059,
0.044132132083177567,
0.0430297777056694,
0.011299117468297482,
-0.06298616528511047,
-0.02674156241118908,
-0.0007269827765412629,
-0.04496840015053749,
0.016867900267243385,
0.013171217404305935,
0.05530770868062973,
0.07898928970098495,
-0.022351156920194626,
-0.01574654132127762,
-0.05591590330004692,
0.022940345108509064,
0.017390567809343338,
0.0024327789433300495,
-0.0037204413674771786,
0.00532645545899868,
-0.018616460263729095,
-0.008139356039464474,
0.05591590330004692,
0.039418622851371765,
-0.01650678552687168,
-0.02048856019973755,
0.06963829696178436,
0.027064666152000427,
-0.05549776926636696,
0.004468806087970734,
0.0029673250392079353,
-0.02083067037165165,
0.0034377258270978928,
-0.02077365107834339,
-0.05253282189369202,
-0.03200624883174896,
0.019034594297409058,
-0.007602434139698744,
-0.03711888566613197,
-0.05523168668150902,
-0.007535913027822971,
0.014986298978328705,
0.009631333872675896,
-0.036453671753406525,
0.04131922870874405,
0.02795795165002346,
-0.061465680599212646,
0.03244338929653168,
-0.0685359463095665,
-0.023016368970274925,
-0.003658671397715807,
-0.036719758063554764,
0.015423438511788845,
-0.05006203055381775,
0.035522375255823135,
-0.030466755852103233,
-0.09966791421175003,
0.03002961538732052,
0.04671695828437805,
0.012962150387465954,
0.01926266774535179,
-0.02729273959994316,
0.06340429931879044,
0.06849793344736099,
0.02366257645189762,
0.03586448356509209,
0.015242881141602993,
0.050442151725292206,
0.008495720103383064,
0.04888365417718887,
0.09655091166496277,
-0.07746880501508713,
-0.0033878348767757416,
-0.03983675688505173,
0.008833078667521477,
-0.03824024274945259,
-0.04356194660067558,
0.004727763589471579,
0.024688905104994774,
-0.018806520849466324,
-0.043713998049497604,
0.03246239572763443,
-0.008628763258457184,
0.007103524636477232,
-0.028243042528629303,
0.032234322279691696,
-0.012182900682091713,
-0.007336349226534367,
-0.017932241782546043,
-0.03371679410338402,
0.03850632905960083,
-0.02755882404744625,
-0.04131922870874405,
0.015280893072485924,
-0.046945031732320786,
0.12323545664548874,
0.026380447670817375,
-0.014891267754137516,
-0.02265525422990322,
-0.017903732135891914,
-0.04880762845277786,
-0.013617860153317451,
-0.04930178448557854,
-0.0157940573990345,
0.006348032504320145,
-0.06264405697584152,
0.0184929221868515,
0.057778500020504,
-0.02204705961048603,
0.024574868381023407,
-0.021381845697760582,
0.06697744876146317,
0.026171380653977394,
0.005207667592912912,
0.022332150489091873,
-0.0037822111044079065,
-0.022218113765120506,
0.024498844519257545,
-0.011099553667008877,
-0.011812281794846058,
0.012163895182311535,
-0.0024173364508897066,
0.05496560037136078,
0.03865837678313255,
-0.0564480759203434,
-0.02970651164650917,
-0.044056106358766556,
-0.03770807385444641,
-0.00010401377221569419,
-0.005150649230927229,
0.018226835876703262,
0.01183128822594881,
-0.0076214405708014965,
0.09419415891170502,
-0.027843914926052094,
0.05146848037838936,
-0.029079310595989227,
-0.010310801677405834,
-0.05222872272133827,
0.055269695818424225,
-0.0013850685209035873,
0.005183910019695759,
-0.059451036155223846,
-0.025012008845806122,
0.02345350943505764,
-0.024175740778446198,
0.043637972325086594,
0.011109056882560253,
0.015062322840094566,
0.039152536541223526,
-0.0023888275027275085,
0.02573424018919468,
0.08674377202987671,
-0.011033033020794392,
-0.05196263641119003,
0.0463748499751091,
-0.026912616565823555,
0.03852533549070358,
0.0011433347826823592,
0.019205650314688683,
0.045994728803634644,
0.00006774630310246721,
0.0920654758810997,
-0.04831346869468689,
-0.03251941129565239,
0.01437810342758894,
-0.006908711977303028,
0.022275133058428764,
0.012097373604774475,
-0.001189068192616105,
0.08659172803163528,
0.007882773876190186,
0.010938002727925777,
-0.00022450939286500216,
0.017162496224045753,
0.015062322840094566,
0.045196469873189926,
-0.0068849544040858746,
0.07062661647796631,
-0.0033070589415729046,
-0.01619318500161171,
0.011736257933080196,
-0.015062322840094566,
-0.039684705436229706,
-0.0008202313911169767,
0.0379551537334919,
-0.03018166311085224,
-0.04614677652716637,
0.03240537643432617,
-0.0036871805787086487,
-0.007212809287011623,
0.004951085429638624,
0.008528981357812881,
0.01693442277610302,
-0.0006313584162853658,
-0.04527249559760094,
-0.010434340685606003,
-0.037137892097234726,
-0.05283691734075546,
-0.02862316556274891,
0.02064060978591442,
-0.01004471629858017,
-0.02480294182896614,
0.024821948260068893,
-0.019519250839948654,
0.011432160623371601,
-0.04899768903851509,
0.026703549548983574,
0.08545136451721191,
0.014444625005126,
0.025012008845806122,
-0.02525908872485161,
-0.006039183586835861,
0.009683600626885891,
-0.0043832785449922085,
-0.006751911714673042,
0.013000162318348885,
-0.008552738465368748,
-0.008395938202738762,
-0.056410063058137894,
0.0178087018430233,
0.005549776833504438,
-0.02755882404744625,
-0.03179718181490898,
-0.028528135269880295,
0.021058743819594383,
0.005373970605432987,
0.011498682200908661,
0.013380284421145916,
-0.010025709867477417,
0.012943143956363201,
0.04443622753024101,
-0.007973052561283112,
0.05656211078166962,
-0.004627981688827276,
0.017789695411920547,
-0.02615237422287464,
-0.03755602613091469,
-0.012876623310148716,
0.04793334752321243,
-0.018160315230488777,
0.03219630941748619,
0.055421747267246246,
-0.015337911434471607,
0.010434340685606003,
-0.06374640762805939,
0.015071826055645943,
0.004794285167008638,
-0.013256744481623173,
0.018692485988140106,
-0.0039247567765414715,
0.03288052976131439,
0.03367878496646881,
-0.0017236144049093127,
0.03077085316181183,
0.0632142424583435,
0.06815582513809204,
-0.03318462520837784,
-0.046945031732320786,
-0.057626452296972275,
-0.02896527387201786,
-0.017960751429200172,
0.06572304666042328,
-0.032082270830869675,
0.06424056738615036,
0.008196374401450157,
0.013171217404305935,
0.020070426166057587,
-0.042307548224925995,
-0.015499463304877281,
-0.020944707095623016,
-0.050974320620298386,
-0.059641096740961075,
0.003347446909174323,
-0.04272568225860596,
0.05067022517323494,
-0.00972636416554451,
-0.018663976341485977,
-0.06062941253185272,
0.0038748658262193203,
0.048959676176309586,
0.0008315162267535925,
-0.025962313637137413,
0.051164381206035614,
0.05477553978562355,
-0.04671695828437805,
-0.05633403733372688,
-0.016117161139845848,
0.028471115976572037,
-0.03559839725494385,
-0.05006203055381775,
-0.004105314612388611,
0.007265076041221619,
0.03381182625889778,
-0.03310859948396683,
0.004677872639149427,
0.04595671594142914,
0.0025586942210793495,
0.004174211528152227,
-0.011109056882560253,
-0.015280893072485924,
0.01982334814965725,
0.019272170960903168,
-0.004649363923817873,
-0.02816701866686344,
-0.028414098545908928,
-0.007968300953507423,
0.03246239572763443,
-0.073895663022995,
-0.022769290953874588,
0.0029910828452557325,
0.030333712697029114,
-0.008063332177698612,
0.03103693760931492,
0.005492758937180042,
0.011242100037634373,
-0.01687740348279476,
-0.045652616769075394,
-0.00796355027705431,
0.002001578453928232,
-0.03656771034002304,
0.004186090547591448,
-0.0036396654322743416,
0.014349594712257385,
-0.0450064092874527,
-0.07138685882091522,
-0.009564812295138836,
0.041965436190366745,
0.013237738981842995,
0.04462628811597824,
0.002458912320435047,
0.025088032707571983,
-0.004787157755345106,
0.026779575273394585,
0.03310859948396683,
0.0012086682254448533,
0.0011219530133530498,
-0.03280450403690338,
0.023339472711086273,
-0.0040055327117443085,
0.0652288869023323,
-0.05093630775809288,
0.021134767681360245,
0.02364357002079487,
-0.012648549862205982,
-0.02109675481915474,
-0.0028485371731221676,
-0.020336512476205826,
-0.05515566095709801,
0.006818433292210102,
-0.013741400092840195,
-0.0026561005506664515,
-0.035921502858400345,
0.011698246002197266,
0.039342597126960754,
0.03278549760580063,
-0.025563186034560204,
0.0007649949402548373,
-0.007535913027822971,
-0.014625183306634426,
-0.0319112166762352,
0.03170214965939522,
0.030998926609754562,
-0.004627981688827276,
-0.009987697936594486,
0.045538581907749176,
0.006481075193732977,
0.0033830832690000534,
0.0023543788120150566,
0.020583590492606163,
-0.007198554929345846,
0.0631382167339325,
0.07381963729858398,
0.019538255408406258,
-0.02493598498404026,
-0.0013565593399107456,
0.021210791543126106,
-0.08050978183746338,
-0.01759963482618332,
-0.004243108443915844,
0.019376704469323158,
0.01706746406853199,
0.012857616879045963,
0.04857955500483513,
-0.006029680836945772,
0.016687342897057533,
-0.06264405697584152,
-0.03297555819153786,
-0.022807301953434944,
0.029402414336800575,
-0.01838838867843151,
0.02218010276556015,
0.015214371494948864,
0.008063332177698612,
0.035237282514572144,
0.025107039138674736,
0.002660851925611496,
0.03778409957885742,
0.0035113743506371975,
-0.016611319035291672,
0.0215148888528347,
0.04451225325465202,
-0.040825072675943375,
-0.001298353192396462,
0.036624725908041,
0.0031098707113415003,
0.004012659657746553,
0.008300907909870148,
0.0846911147236824,
0.002736876253038645,
-0.013256744481623173,
-0.004865557886660099,
0.010206268168985844,
-0.011318123899400234,
-0.01189780980348587,
-0.06769967824220657,
0.014178539626300335,
0.03288052976131439,
0.052646856755018234,
-0.08142206817865372,
-0.028509128838777542,
0.03588348999619484,
-0.0531030036509037,
-0.034305986016988754,
-0.020013408735394478,
-0.018587952479720116,
-0.030941907316446304,
-0.02427077107131481,
-0.04333387687802315,
0.029592474922537804,
-0.0008629951043985784,
-0.022750284522771835,
-0.018720993772149086,
-0.022902334108948708,
-0.03031470626592636,
-0.06697744876146317,
-0.05838669463992119,
0.01648777909576893,
-0.013161714188754559,
-0.0652288869023323,
0.06492479145526886,
-0.03582647070288658,
0.017114980146288872,
-0.0013031048001721501,
-0.00364679261110723,
-0.014786734245717525,
0.0014789110282436013,
0.00040595809696242213,
0.0184929221868515,
-0.052380770444869995,
0.0035066227428615093,
0.015879584476351738,
-0.008524229750037193,
-0.03761304169893265,
-0.015404432080686092,
-0.05025209113955498,
-0.019804341718554497,
-0.008842580951750278,
-0.05538373440504074,
-0.013997982256114483,
-0.011869300156831741,
0.03575044870376587,
0.006043935194611549,
-0.05679018422961235,
0.009198945015668869,
0.015204868279397488,
0.008880593813955784,
0.039684705436229706,
0.0359405092895031,
0.016421258449554443,
0.019329188391566277,
-0.029991602525115013,
0.03791714087128639,
0.006233996246010065,
-0.010567383840680122,
-0.027520811185240746,
-0.01037732232362032,
0.006566602736711502,
-0.0057493411004543304,
0.009807140566408634,
-0.03232935070991516,
-0.043980080634355545,
-0.01874000020325184,
-0.033165618777275085,
0.06070543825626373,
-0.01319972611963749,
0.015575487166643143,
-0.002060972386971116,
0.034363001585006714,
0.006742408964782953,
0.044056106358766556,
0.005982165690511465,
0.01892055757343769,
0.0003296367940492928,
-0.012810101732611656,
-0.006272008176892996,
-0.007697464898228645,
0.04690701887011528,
-0.015404432080686092,
0.006119959522038698,
0.010605395771563053,
0.0057968562468886375,
-0.01767566055059433,
-0.02043154276907444,
0.048427507281303406,
0.01775168441236019,
-0.0026537247467786074,
0.03843030706048012,
-0.040558986365795135,
0.04219350963830948,
-0.09989598393440247,
0.026969635859131813,
0.026171380653977394,
-0.02843310497701168,
0.0773167535662651,
0.028737202286720276,
-0.0005588976782746613,
0.019433721899986267,
0.0006871887599118054,
-0.0430297777056694,
0.03938060998916626,
-0.007882773876190186,
0.033298663794994354,
0.007079767063260078,
-0.023871643468737602,
-0.02271227166056633,
-0.008937612175941467,
0.06640726327896118,
-0.007117778994143009,
0.06002121791243553,
-0.018568946048617363,
0.005502261687070131,
0.005193412769585848,
-0.07366758584976196,
-0.011593712493777275,
0.042041461914777756,
0.0162977185100317,
0.011679239571094513,
-0.008894847705960274,
-0.02149588242173195,
-0.0027677612379193306,
-0.0215148888528347,
-0.013285254128277302,
-0.004606599919497967,
0.03972271829843521,
-0.038601361215114594,
-0.025753246620297432,
0.05488957464694977,
-0.04105314612388611,
-0.016069645062088966,
0.043523937463760376,
-0.027311744168400764,
0.05488957464694977,
0.034115925431251526,
-0.000026430338039062917,
-0.02755882404744625,
-0.02088768780231476,
-0.0008618072024546564,
0.02875620685517788,
0.0008618072024546564,
-0.0055070132948458195,
0.029611481353640556,
0.01319972611963749,
-0.037251926958560944,
-0.020811663940548897,
0.030067628249526024,
-0.01219240389764309,
-0.036586713045835495,
0.005179158411920071,
0.009669345803558826,
0.011318123899400234,
0.02466989867389202,
-0.03193022310733795,
-0.02029849961400032,
-0.017485598102211952,
-0.016544798389077187,
0.007113027386367321,
0.05865278095006943,
-0.009355745278298855,
0.000026281852115062065,
-0.05021407827734947,
0.020184462890028954,
0.0049225762486457825,
0.007084518205374479,
0.028984280303120613,
-0.036130569875240326,
0.009232206270098686,
0.02843310497701168,
-0.007649949286133051,
0.021381845697760582,
-0.033640772104263306,
-0.030998926609754562,
0.06291014701128006,
0.021666938439011574,
0.008262895978987217,
0.0090754060074687,
0.004076805431395769,
0.025905294343829155,
0.060325317084789276,
-0.06469671428203583,
0.04797136038541794,
0.02339649200439453,
0.04238357022404671,
0.04990997910499573,
0.017533114179968834,
0.005739837884902954,
0.033165618777275085,
-0.006386044900864363,
0.08218231797218323,
0.024897972121834755,
-0.02392866276204586,
0.0584627203643322,
0.013180720619857311,
-0.01934819482266903,
0.0009087284561246634,
-0.002981579629704356,
-0.02318742498755455,
-0.0062102386727929115,
-0.021400852128863335,
0.00013051835412625223,
-0.044588275253772736,
-0.0010340498993173242,
0.06731955707073212,
0.004105314612388611,
0.007930289022624493,
0.04409411922097206,
-0.003285677172243595,
0.02742578089237213,
-0.006808930076658726,
0.019376704469323158,
-0.012715071439743042,
0.004535327199846506,
-0.010557880625128746,
-0.004917824640870094,
0.05717030540108681,
-0.02641845867037773,
0.005630552768707275,
0.020545579493045807,
-0.027026653289794922,
0.04188941419124603,
0.0002588094212114811,
-0.0072888340801000595,
0.046602923423051834,
-0.003219155827537179,
0.0178087018430233,
-0.01955726183950901,
0.002682233927771449,
-0.0022736031096428633,
0.01571803353726864,
0.005250431131571531,
0.05013805255293846,
-0.025107039138674736,
-0.02048856019973755,
0.02178097330033779,
0.0014694080455228686,
0.04797136038541794,
-0.014663195237517357,
-0.043980080634355545,
-0.04287772998213768,
0.029345396906137466,
0.021533895283937454,
-0.03755602613091469,
0.02721671387553215,
0.00793504063040018,
0.04071103408932686,
0.01411201898008585,
-0.01592710055410862,
0.012810101732611656,
-0.03787912800908089,
-0.026570508256554604,
-0.009455527178943157,
-0.024821948260068893,
0.026019331067800522,
-0.013313762843608856,
-0.07104475051164627,
0.045994728803634644,
-0.023149412125349045,
-0.03050476685166359,
-0.004314381629228592,
0.01011123787611723,
0.0005490977200679481,
-0.00035784897045232356,
-0.033925861120224,
0.001203916734084487,
0.020203469321131706,
0.057360365986824036,
-0.0033569498918950558,
0.014815243892371655,
0.01838838867843151,
0.00058562500635162,
0.026114361360669136,
0.0023175545502454042,
0.01411201898008585,
0.00836267787963152,
-0.03398288041353226,
-0.008087089285254478,
0.01797025464475155,
0.027976958081126213,
-0.010386825539171696,
0.020811663940548897,
0.005621050018817186,
0.017162496224045753,
0.023776613175868988,
-0.0302386824041605,
-0.004951085429638624,
0.01669684611260891,
-0.03611156344413757,
0.00497009139508009,
-0.012106876820325851,
-0.02122979797422886,
-0.03394486755132675,
-0.0003931883838959038,
-0.00811084732413292,
-0.002261724090203643,
0.004183714743703604,
0.0015181110939010978,
0.042915742844343185,
-0.024023693054914474,
-0.002407833468168974,
0.01817932166159153,
-0.0456906296312809,
-0.001078595407307148,
-0.02714069001376629,
0.048009373247623444,
0.01582256704568863,
-0.0183123629540205,
0.02297835797071457,
-0.04785732552409172,
0.014862759038805962,
0.02440381422638893,
-0.005088879261165857,
-0.0028889249078929424,
0.013560841791331768,
0.029858561232686043,
0.03683379292488098,
0.015946105122566223,
0.016069645062088966,
0.022617241367697716,
0.07541614770889282,
-0.012049858458340168,
-0.09312982112169266,
0.003870114218443632,
0.011584209278225899,
0.039874766021966934,
0.0017984508303925395,
-0.014625183306634426,
0.057094279676675797,
0.048693589866161346,
0.000696691800840199,
-0.004984345752745867,
0.029212353751063347,
0.03031470626592636,
-0.04998600482940674,
-0.007146288175135851,
0.007070263847708702,
-0.04930178448557854,
0.007911283522844315,
-0.01246799249202013,
-0.00564480759203434,
0.006386044900864363,
-0.004523448180407286,
0.010519868694245815,
0.0027630096301436424,
0.023548539727926254,
-0.037670060992240906,
0.018397890031337738,
-0.029383407905697823,
-0.0018103296170011163,
0.02318742498755455,
0.04489237442612648,
0.019310183823108673,
0.02668454498052597,
0.006671136245131493,
-0.0035089985467493534,
0.017029453068971634,
0.0017699417658150196,
-0.02311139926314354,
-0.04823744669556618,
0.004585218150168657,
0.020393529906868935,
0.04816142097115517,
-0.032367363572120667,
-0.005027109757065773,
0.02311139926314354,
0.0005544431624002755,
-0.03379281982779503,
0.03257643058896065,
-0.016791876405477524,
0.0166398286819458,
0.008766557089984417,
-0.04515846073627472,
0.027406776323914528,
0.006490578409284353,
0.026589514687657356,
-0.00825339276343584,
0.031074950471520424,
-0.013456308282911777,
-0.027596836909651756,
-0.007132033817470074,
-0.011204087175428867,
0.006229244638234377,
0.0019481237977743149,
-0.014102515764534473,
-0.0012781592085957527,
-0.02634243480861187,
-0.0322723351418972,
0.01032030489295721,
-0.026722555980086327,
0.021818986162543297,
-0.04314381629228592,
0.003941386938095093,
-0.05279890447854996,
-0.012068863958120346,
0.011840791441500187,
0.05074624717235565,
0.006162723060697317,
0.00044307936332188547,
0.023605559021234512,
0.006015426013618708,
-0.005483255721628666,
-0.0023531909100711346,
0.013066683895885944,
-0.00736010679975152,
-0.00457096379250288,
0.03409691900014877,
0.05568782985210419,
0.01701044663786888,
0.003076610155403614,
-0.02311139926314354,
-0.03877241536974907,
-0.0159556083381176,
-0.0028913007117807865,
-0.019785335287451744,
0.02862316556274891,
0.029744524508714676,
0.015233377926051617,
0.025525173172354698,
0.04185140132904053,
0.014159534126520157,
-0.01854993961751461,
-0.04550056904554367,
-0.010700426064431667,
0.020469553768634796,
0.008011065423488617,
-0.015261886641383171,
0.005103134084492922,
0.030884889885783195,
0.0016665961593389511,
-0.0403309129178524,
0.021761968731880188,
0.02210407704114914,
0.030618803575634956,
-0.015461450442671776,
-0.06287213414907455,
0.017742181196808815,
-0.020792657509446144,
0.0041765873320400715,
0.021286815404891968,
-0.07876121997833252,
0.02674156241118908,
-0.005022358149290085,
-0.042231522500514984,
0.012924138456583023,
-0.0129336416721344,
-0.034572068601846695,
-0.028052981942892075,
0.0376320481300354,
-0.006922966800630093,
0.034248966723680496,
-0.00282240379601717,
0.08902450650930405,
-0.038145214319229126,
0.01619318500161171,
-0.030523773282766342,
0.00914192758500576,
-0.04147128015756607,
-0.027463793754577637,
0.03757503256201744,
-0.013522829860448837,
-0.03748000040650368,
0.007564422208815813,
0.02438480779528618,
0.011147068813443184,
0.00012472743401303887,
-0.01640225201845169,
0.044930387288331985,
-0.0033807074651122093,
-0.021457871422171593,
-0.018873043358325958,
-0.03654870390892029,
0.006476323585957289,
-0.00962183065712452,
0.037194911390542984,
-0.024346794933080673,
0.03683379292488098,
-0.004155205562710762,
-0.0036990593653172255,
-0.029459433630108833,
0.027121683582663536,
-0.03708087280392647,
0.011071044951677322,
0.01551846880465746,
-0.006561851128935814,
-0.008424447849392891,
0.03272847831249237,
0.023700589314103127,
0.043713998049497604,
0.013627363368868828,
0.004309630021452904,
0.03651069104671478,
-0.005378722213208675,
0.0002521276182960719,
0.021419858559966087,
0.006785172503441572,
-0.0016772870440036058,
0.0060819475911557674,
-0.06416454166173935,
0.01461568009108305,
0.02613336779177189,
-0.004946333821862936,
0.007336349226534367,
0.04093910753726959,
-0.0652288869023323,
0.026019331067800522,
-0.005435740575194359,
0.004711133427917957,
0.004323884379118681,
0.04709707945585251,
0.00947453361004591,
0.02337748557329178,
0.0032524163834750652,
-0.029060304164886475,
0.019633285701274872,
0.011574706062674522,
0.026019331067800522,
-0.027653854340314865,
-0.057778500020504,
-0.012601034715771675,
-0.02231314405798912,
-0.0016606567660346627,
-0.016107657924294472,
0.010995020158588886,
-0.017048459500074387,
0.039608683437108994,
-0.054205358028411865,
0.018597455695271492,
-0.015033814124763012,
-0.001126110553741455,
-0.011213590390980244,
0.009788134135305882,
-0.027387769892811775,
-0.010747941210865974,
-0.01126110553741455,
-0.011071044951677322,
0.00017565781308803707,
0.021115761250257492,
-0.013779412023723125,
-0.06363237649202347,
0.025354119017720222,
0.014625183306634426,
0.030865883454680443,
0.04379002004861832,
0.02890825644135475,
0.01518586277961731,
-0.012753083370625973,
0.038012173026800156,
0.02149588242173195,
0.0010518680792301893,
0.027311744168400764,
0.03778409957885742,
0.04188941419124603,
-0.03664373233914375,
0.029668498784303665,
-0.01155569963157177,
-0.02096371166408062,
-0.006195983849465847,
-0.016763366758823395,
-0.0201654564589262,
0.04831346869468689,
-0.0450444221496582,
-0.04724912717938423,
-0.013551339507102966,
-0.019842352718114853,
-0.010301298461854458,
-0.011869300156831741,
0.01122309360653162,
-0.015993621200323105,
-0.02366257645189762,
-0.025620203465223312,
0.07290734350681305,
0.013513326644897461,
0.00665212981402874,
0.08035773038864136,
0.0031811436638236046,
-0.012962150387465954,
0.00010653802019078285,
-0.021457871422171593,
0.010187261737883091,
-0.007996810600161552,
-0.02930738404393196,
0.00497009139508009,
0.011888306587934494,
-0.027539817616343498,
0.040825072675943375,
0.01303817518055439,
0.005549776833504438,
0.047021057456731796,
0.02539213001728058,
0.05154450610280037,
-0.049833957105875015
] |
A deep autoencoder (DAE)-based structure for endto-end communication over the
two-user Z-interference channel (ZIC) with finite-alphabet inputs is designed
in this paper. The proposed structure jointly optimizes the two encoder/decoder
pairs and generates interference-aware constellations that dynamically adapt
their shape based on interference intensity to minimize the bit error rate
(BER). An in-phase/quadrature-phase (I/Q) power allocation layer is introduced
in the DAE to guarantee an average power constraint and enable the architecture
to generate constellations with nonuniform shapes. This brings further gain
compared to standard uniform constellations such as quadrature amplitude
modulation. The proposed structure is then extended to work with imperfect
channel state information (CSI). The CSI imperfection due to both the
estimation and quantization errors are examined. The performance of the DAEZIC
is compared with two baseline methods, i.e., standard and rotated
constellations. The proposed structure significantly enhances the performance
of the ZIC both for the perfect and imperfect CSI. Simulation results show that
the improvement is achieved in all interference regimes (weak, moderate, and
strong) and consistently increases with the signal-to-noise ratio (SNR). For
example, more than an order of magnitude BER reduction is obtained with respect
to the most competitive conventional method at weak interference when SNR>15dB
and two bits per symbol are transmitted. The improvements reach about two
orders of magnitude when quantization error exists, indicating that the DAE-ZIC
is more robust to the interference compared to the conventional methods. | [
-0.02700616419315338,
-0.03090847283601761,
-0.027425570413470268,
-0.004374141339212656,
0.0323672778904438,
0.04277951270341873,
-0.012873971834778786,
0.024380311369895935,
-0.04781239852309227,
0.0009476547129452229,
-0.016840102151036263,
-0.05251705273985863,
0.009509597904980183,
-0.024781484156847,
-0.011460752226412296,
0.020168006420135498,
0.0027762919198721647,
0.023796789348125458,
0.006883745547384024,
-0.05029236897826195,
0.030872002243995667,
0.002849232405424118,
-0.02383325807750225,
-0.010548997670412064,
-0.0029198932461440563,
0.02585735358297825,
0.015372178517282009,
-0.011041345074772835,
-0.0778273493051529,
-0.01064929086714983,
0.009094749577343464,
-0.003890911815688014,
-0.023322677239775658,
-0.0333155058324337,
-0.03865838423371315,
-0.03218492865562439,
0.04923473671078682,
0.026878518983721733,
-0.008337993174791336,
0.011068698018789291,
0.007936821319162846,
0.019019195809960365,
-0.012418094091117382,
0.04055483266711235,
0.06542748957872391,
0.011460752226412296,
-0.027097338810563087,
-0.0059811086393892765,
-0.0033803293481469154,
0.0010593446204438806,
-0.002427546074613929,
-0.03909602761268616,
0.04431126266717911,
0.03499313071370125,
0.001874794950708747,
0.08344376087188721,
0.04544183611869812,
0.05911815166473389,
0.046791233122348785,
0.02226504124701023,
0.030744357034564018,
-0.009947240352630615,
-0.0023910757154226303,
0.008105495944619179,
0.02696969360113144,
-0.045514777302742004,
0.03078082762658596,
0.004905238281935453,
0.013767491094768047,
-0.02665969729423523,
-0.06261929124593735,
-0.008023438043892384,
-0.013256908394396305,
0.05014649033546448,
-0.0026030587032437325,
-0.003264080500230193,
0.053866446018218994,
0.0562005378305912,
0.016995102167129517,
0.047885339707136154,
0.00014267531514633447,
0.04777592793107033,
0.007161830551922321,
0.015262767672538757,
0.05638289079070091,
-0.01041223481297493,
-0.08103672415018082,
-0.08818487823009491,
0.037928979843854904,
0.008032555691897869,
-0.04635358974337578,
-0.011333107016980648,
-0.03247668966650963,
-0.043800678104162216,
-0.006395956967025995,
-0.004905238281935453,
-0.027881449088454247,
-0.01816214621067047,
-0.06772511452436447,
-0.011533692479133606,
0.0034988573752343655,
0.02651381678879261,
0.0023340911138802767,
0.041758351027965546,
0.024325605481863022,
0.0008559094276279211,
-0.018727434799075127,
0.01301073469221592,
-0.000647345616016537,
0.1356690526008606,
0.015417765825986862,
0.021353287622332573,
-0.0323672778904438,
0.05299116298556328,
-0.047921810299158096,
-0.045223016291856766,
-0.032586101442575455,
-0.05992049723863602,
0.008023438043892384,
-0.02208269014954567,
-0.012509269639849663,
0.016156287863850594,
-0.03393549844622612,
0.005415820982307196,
-0.03326079994440079,
0.006163459271192551,
0.027152044698596,
-0.009582538157701492,
0.041138358414173126,
-0.03245845437049866,
-0.08059908449649811,
-0.05306410416960716,
-0.006468897219747305,
0.018016265705227852,
0.016520988196134567,
0.0029062170069664717,
-0.0031409936491400003,
-0.0571487620472908,
0.023158561438322067,
0.010220766067504883,
0.042086582630872726,
0.02589382417500019,
-0.004269289784133434,
0.003982087131589651,
0.030106129124760628,
0.03490195795893669,
-0.028373796492815018,
0.04540536552667618,
-0.019292721524834633,
-0.04620771110057831,
-0.00528817530721426,
0.03785604238510132,
-0.0033165065106004477,
0.051386475563049316,
0.06564631313085556,
0.017642447724938393,
0.015992172062397003,
-0.04153952747583389,
-0.023906199261546135,
-0.03625135496258736,
0.049307674169540405,
-0.005634641740471125,
0.024343840777873993,
0.02020447701215744,
0.010767819359898567,
-0.024197960272431374,
0.046025361865758896,
0.015700409188866615,
-0.03583194687962532,
0.05313704535365105,
0.026933223009109497,
-0.007690648082643747,
-0.05302763357758522,
0.0072438884526491165,
-0.013375436887145042,
0.0036675320006906986,
0.009345482103526592,
-0.049781788140535355,
-0.02981436811387539,
0.007877557538449764,
-0.0732685774564743,
0.03123670443892479,
0.03993484005331993,
-0.009619008749723434,
0.08935192972421646,
0.0507664829492569,
0.04336303845047951,
-0.029103199020028114,
-0.004677299875766039,
-0.04051836207509041,
0.02414325624704361,
0.04449361190199852,
0.08461080491542816,
-0.03411784768104553,
0.018253322690725327,
-0.07239329814910889,
-0.02447148784995079,
-0.018672728911042213,
-0.020003890618681908,
-0.036378998309373856,
0.009527833200991154,
0.006464338395744562,
-0.013594257645308971,
-0.03397196903824806,
0.010494292713701725,
0.02080623432993889,
0.04959943890571594,
0.014314543455839157,
-0.019329192116856575,
0.04059130325913429,
-0.015326591208577156,
-0.019310956820845604,
-0.031127294525504112,
0.008146525360643864,
0.0053656743839383125,
0.0038293683901429176,
-0.010457822121679783,
-0.016466284170746803,
-0.018481260165572166,
-0.026094410568475723,
0.010375764220952988,
-0.036524880677461624,
0.06870980560779572,
0.008643431589007378,
-0.03362550213932991,
-0.07935909926891327,
-0.016046876087784767,
0.018873315304517746,
-0.05506996437907219,
-0.015618352219462395,
0.07013214379549026,
0.02383325807750225,
0.04784886911511421,
-0.002917613834142685,
0.016666870564222336,
-0.033370207995176315,
-0.02746204100549221,
0.00916313100606203,
-0.05018296092748642,
-0.0015955701237544417,
-0.04044542461633682,
0.018663611263036728,
-0.00801887921988964,
-0.011305754072964191,
0.012919559143483639,
0.02082446962594986,
0.037965450435876846,
0.04992767050862312,
0.02270268276333809,
-0.012810148298740387,
-0.03865838423371315,
-0.01783391460776329,
-0.014724832959473133,
0.021736223250627518,
-0.04274304583668709,
0.02997848391532898,
0.02824614942073822,
-0.07797323167324066,
-0.039059557020664215,
-0.07928615808486938,
0.07224741578102112,
0.05842521786689758,
0.019219782203435898,
0.043618328869342804,
-0.016302168369293213,
-0.012500151991844177,
0.025036774575710297,
0.022976210340857506,
-0.025365006178617477,
-0.003113641170784831,
-0.07027802616357803,
-0.008210347965359688,
-0.03617841377854347,
-0.048541802912950516,
0.023413851857185364,
0.00276261568069458,
-0.055142901837825775,
0.03161964192986488,
-0.013047205284237862,
0.014250720851123333,
0.04226893186569214,
-0.002584823640063405,
0.031127294525504112,
-0.010548997670412064,
-0.017706269398331642,
-0.032914333045482635,
-0.0486147440969944,
-0.005593612790107727,
-0.05678405985236168,
-0.06028519943356514,
-0.044274792075157166,
0.012199273332953453,
-0.012162802740931511,
0.001022874377667904,
0.05791463702917099,
-0.047119464725255966,
-0.016913043335080147,
-0.06772511452436447,
0.03931484743952751,
0.004567889496684074,
-0.027826743200421333,
-0.010512528009712696,
0.00552523136138916,
0.02622205577790737,
-0.052954692393541336,
0.01861802488565445,
0.008342551998794079,
0.03807486221194267,
0.020642118528485298,
0.0028834231197834015,
0.02541971206665039,
-0.0026144555304199457,
-0.05087589472532272,
-0.006345810368657112,
-0.04369127005338669,
-0.013493964448571205,
0.06509926170110703,
-0.004061865620315075,
-0.06123342365026474,
0.003626503050327301,
0.008967104367911816,
0.040956005454063416,
-0.05857110023498535,
0.0019238017266616225,
0.000038998867239570245,
-0.01145163457840681,
0.005602730438113213,
0.048031218349933624,
0.0034395933616906404,
0.0077544706873595715,
-0.00836078729480505,
-0.015518059022724628,
-0.0015100931050255895,
-0.00874372385442257,
-0.034190788865089417,
0.019803304225206375,
-0.016210991889238358,
0.017888620495796204,
-0.011178108863532543,
-0.06677688658237457,
-0.018198616802692413,
-0.01746009662747383,
-0.058024048805236816,
-0.010667526163160801,
-0.015654822811484337,
-0.008693577721714973,
-0.0564558282494545,
0.011889277026057243,
0.01126928348094225,
-0.05244411155581474,
0.0010958147468045354,
0.01332073099911213,
0.005356556735932827,
0.019693894311785698,
0.0694756805896759,
-0.07855675369501114,
-0.010093120858073235,
-0.02587558887898922,
-0.006756099872291088,
0.0400807224214077,
0.0036059885751456022,
-0.005174206104129553,
0.0252555962651968,
-0.0015579602913931012,
-0.03492019325494766,
-0.035722535103559494,
-0.024270901456475258,
0.023778554052114487,
-0.00011717468441929668,
-0.02381502464413643,
0.02098858542740345,
-0.008100937120616436,
-0.03741839900612831,
-0.012655150145292282,
-0.04744769632816315,
0.0018371850019320846,
0.04084659367799759,
0.0012901324080303311,
-0.005101265851408243,
0.04467596486210823,
-0.004123409278690815,
0.020240947604179382,
-0.007613149005919695,
-0.02129858173429966,
0.03800192102789879,
0.03601429611444473,
-0.018171263858675957,
0.06451573967933655,
0.006259193643927574,
0.03189316764473915,
-0.044894784688949585,
-0.009290777146816254,
-0.024708542972803116,
-0.016621282324194908,
0.07122625410556793,
-0.007553884759545326,
0.06670394539833069,
0.021681519225239754,
0.003957014065235853,
-0.02541971206665039,
-0.045077133923769,
-0.002751218853518367,
-0.03459196165204048,
0.02286679856479168,
0.021335052326321602,
0.04529595747590065,
-0.04234187304973602,
0.00432399520650506,
0.021991515532135963,
0.0015089535154402256,
-0.021043291315436363,
-0.06736040860414505,
0.006646689493209124,
-0.036069002002477646,
0.014332778751850128,
0.06860040128231049,
-0.0811096653342247,
0.03030671551823616,
0.004791269078850746,
0.004004881251603365,
-0.025675002485513687,
0.01332073099911213,
0.03220316395163536,
-0.02839202992618084,
0.0422324612736702,
0.01033929456025362,
0.0505111925303936,
-0.05397585779428482,
0.009035485796630383,
-0.008711813017725945,
0.03278668597340584,
0.03676193580031395,
-0.008160201832652092,
-0.02211916074156761,
-0.035904888063669205,
-0.017824796959757805,
0.009764889255166054,
-0.010275471955537796,
-0.019274486228823662,
-0.014132192358374596,
-0.0047365641221404076,
-0.024562662467360497,
0.0016445768997073174,
-0.03927837684750557,
-0.013001617044210434,
-0.023906199261546135,
-0.004964502528309822,
-0.01167045533657074,
-0.022137396037578583,
0.014451306313276291,
-0.09037309139966965,
-0.031783755868673325,
-0.0929989442229271,
-0.049161795526742935,
0.04814063012599945,
-0.011706925928592682,
0.0018713758327066898,
-0.037819571793079376,
0.022356217727065086,
0.0034441521856933832,
0.02664146199822426,
0.041904229670763016,
-0.029595546424388885,
-0.06586513668298721,
0.06302046030759811,
0.0023910757154226303,
-0.00032025371911004186,
-0.030397890135645866,
-0.014724832959473133,
0.036980755627155304,
0.014414836652576923,
-0.0064916908740997314,
0.011916629038751125,
0.019310956820845604,
-0.016776280477643013,
0.031984344124794006,
-0.002107292180880904,
-0.0640416294336319,
0.026568522676825523,
0.007809176109731197,
0.04927120730280876,
-0.058133456856012344,
0.023267971351742744,
-0.007923145778477192,
0.007626825012266636,
0.014506012201309204,
0.018344497308135033,
0.04164893925189972,
-0.018417438492178917,
0.01475218590348959,
0.012117215432226658,
0.005224352702498436,
0.005561701487749815,
-0.003583194687962532,
-0.014442188665270805,
-0.023705612868070602,
-0.05379350855946541,
-0.00867078360170126,
0.03238551318645477,
0.02226504124701023,
-0.02273915335536003,
0.01837185025215149,
0.010184296406805515,
0.06057696044445038,
-0.01859978958964348,
0.012126333080232143,
0.027662627398967743,
0.0735238716006279,
-0.024690307676792145,
0.018171263858675957,
0.05222528800368309,
0.015034829266369343,
0.02270268276333809,
-0.01923801749944687,
-0.005566260311752558,
0.03269550949335098,
-0.02162681333720684,
-0.02129858173429966,
0.002148321131244302,
0.04525948688387871,
0.023413851857185364,
-0.0020981747657060623,
-0.010393999516963959,
0.04121129587292671,
-0.008265052922070026,
0.020259181037545204,
0.02317679487168789,
-0.015071299858391285,
-0.05189705640077591,
0.01475218590348959,
-0.03833015263080597,
0.0296502523124218,
0.021243875846266747,
-0.09132131934165955,
-0.02146269753575325,
0.01746009662747383,
0.041758351027965546,
0.06900157034397125,
-0.045223016291856766,
-0.01690392568707466,
-0.011606632731854916,
0.04566065967082977,
-0.04070071503520012,
0.027826743200421333,
-0.023541497066617012,
-0.04132070764899254,
0.04722887650132179,
-0.004367303568869829,
0.0038590002804994583,
0.0021380640100687742,
0.03583194687962532,
-0.007968733087182045,
0.009992827661335468,
0.033060211688280106,
-0.034318432211875916,
0.00016240624245256186,
0.007982409559190273,
0.03760074824094772,
-0.02585735358297825,
-0.032403748482465744,
0.015590999275445938,
0.01973036490380764,
0.031947873532772064,
0.004251054488122463,
-0.001325462944805622,
0.023304441943764687,
-0.006455220747739077,
0.06542748957872391,
0.0024845306761562824,
0.013749255798757076,
-0.03399020433425903,
-0.035923123359680176,
-0.028337325900793076,
-0.006158900912851095,
0.005748611409217119,
-0.030343184247612953,
0.019967420026659966,
-0.008766517974436283,
0.036214884370565414,
0.027680862694978714,
0.014059252105653286,
-0.028300855308771133,
0.0043513476848602295,
0.028191445395350456,
0.023322677239775658,
-0.022173866629600525,
0.02476324886083603,
-0.012445447035133839,
0.025930294767022133,
-0.031327880918979645,
0.01727774553000927,
0.045223016291856766,
0.0036492967046797276,
0.01651187054812908,
0.009655478410422802,
0.002206445438787341,
-0.005497878883033991,
0.03380785137414932,
0.020168006420135498,
-0.058352280408144,
-0.00857505016028881,
0.021079760044813156,
0.023395616561174393,
0.01355778705328703,
-0.04230540245771408,
-0.008602402172982693,
0.028592616319656372,
-0.0018406041199341416,
0.032914333045482635,
0.04905238375067711,
0.00464994739741087,
0.03617841377854347,
0.04226893186569214,
-0.0022326584439724684,
0.01136045902967453,
-0.03127317503094673,
-0.0038977498188614845,
0.008415493182837963,
-0.04372774064540863,
-0.0017608256312087178,
0.025510886684060097,
-0.015034829266369343,
0.04525948688387871,
-0.013056322000920773,
0.011852806434035301,
0.006587425246834755,
-0.000003276617235314916,
-0.03989836946129799,
-0.01892802119255066,
-0.044748902320861816,
0.009035485796630383,
-0.0014086604351177812,
-0.009026368148624897,
-0.03734545782208443,
-0.01308367494493723,
0.001227449276484549,
0.008871369995176792,
-0.004795827902853489,
0.03172904998064041,
-0.025638531893491745,
-0.047739457339048386,
0.013639844954013824,
-0.039679549634456635,
-0.030817298218607903,
-0.004773034248501062,
0.0419771708548069,
-0.023614438250660896,
0.02587558887898922,
0.041138358414173126,
0.05496055260300636,
0.02286679856479168,
0.030361419543623924,
-0.00019645456632133573,
0.018709199503064156,
0.010858993977308273,
0.009286218322813511,
0.03136435151100159,
0.0025369564536958933,
-0.002917613834142685,
-0.04256069287657738,
0.030890237540006638,
0.010840759612619877,
-0.021991515532135963,
0.005625524558126926,
0.014250720851123333,
-0.01072223111987114,
0.039205435663461685,
-0.005301851779222488,
0.05116765573620796,
-0.0005145713803358376,
-0.03140081837773323,
0.020295651629567146,
-0.002193908905610442,
0.030069658532738686,
0.0507664829492569,
-0.03891367465257645,
0.01199868693947792,
0.017241274937987328,
-0.02191857434809208,
-0.01651187054812908,
-0.020550943911075592,
0.018435673788189888,
-0.016110699623823166,
0.014606304466724396,
0.029267314821481705,
-0.029923778027296066,
0.017642447724938393,
0.02700616419315338,
-0.021717987954616547,
-0.031327880918979645,
-0.012974264100193977,
-0.02479971945285797,
0.02303091436624527,
-0.005101265851408243,
-0.03752781078219414,
0.01670333929359913,
-0.01459718681871891,
0.03151023015379906,
0.009035485796630383,
0.017906855791807175,
-0.020933879539370537,
-0.002016116864979267,
0.05758640542626381,
-0.025474416092038155,
-0.005497878883033991,
0.03078082762658596,
0.024343840777873993,
-0.0031751845963299274,
-0.004891562275588512,
-0.00903092697262764,
-0.005260822828859091,
0.017779210582375526,
0.002091336529701948,
-0.001432594028301537,
0.036069002002477646,
0.008994456380605698,
-0.02758968621492386,
0.023140326142311096,
-0.055142901837825775,
-0.002078799996525049,
-0.011251049116253853,
0.014205132611095905,
0.029595546424388885,
-0.06342163681983948,
0.01649363711476326,
0.00650536734610796,
-0.016365990042686462,
-0.022483862936496735,
0.008296964690089226,
0.015499823726713657,
0.018216852098703384,
0.006965803448110819,
-0.034190788865089417,
0.021061526611447334,
0.03265904262661934,
-0.016675986349582672,
0.018262440338730812,
0.03430020064115524,
0.03300550952553749,
-0.013384553603827953,
0.018444791436195374,
-0.04974531754851341,
-0.029467901214957237,
-0.007909469306468964,
-0.018271557986736298,
0.0301243644207716,
-0.03497489541769028,
0.029467901214957237,
-0.01765156351029873,
0.019766833633184433,
0.027261454612016678,
-0.027553217485547066,
0.012381624430418015,
-0.027060870081186295,
-0.06075930967926979,
0.03515724837779999,
0.0410289466381073,
-0.03486548736691475,
0.028537912294268608,
0.03455549106001854,
0.057513464242219925,
0.03524842485785484,
-0.005930962041020393,
0.03774663060903549,
0.02748027630150318,
-0.04763004928827286,
-0.008702695369720459,
0.044894784688949585,
0.01804361864924431,
-0.052480582147836685,
0.023085620254278183,
0.0012012363877147436,
-0.033041976392269135,
-0.02288503386080265,
-0.026750873774290085,
0.015043946914374828,
-0.02412502095103264,
0.0018770742462947965,
0.0060677253641188145,
0.021809164434671402,
-0.027680862694978714,
0.023413851857185364,
-0.015326591208577156,
-0.025200890377163887,
-0.05156882479786873,
-0.03847603499889374,
-0.0012023760937154293,
-0.02633146569132805,
-0.04777592793107033,
-0.030817298218607903,
-0.009290777146816254,
-0.013612492941319942,
0.05408526957035065,
-0.01809832453727722,
0.013229555450379848,
0.019475072622299194,
-0.00042254116851836443,
-0.02288503386080265,
0.000864457106217742,
-0.03741839900612831,
-0.019657423719763756,
0.014150427654385567,
-0.008100937120616436,
-0.01639334298670292,
-0.07443562895059586,
-0.030543770641088486,
-0.04066424444317818,
-0.04234187304973602,
0.006482573691755533,
-0.004905238281935453,
0.012965147383511066,
-0.011187225580215454,
0.035923123359680176,
0.018836844712495804,
0.0011807219125330448,
0.03373491019010544,
-0.046645354479551315,
-0.015454236418008804,
-0.023140326142311096,
-0.025602063164114952,
-0.04121129587292671,
0.04307127743959427,
-0.010822524316608906,
-0.0211162306368351,
-0.037928979843854904,
0.03523018956184387,
0.029723191633820534,
0.021553872153162956,
0.01816214621067047,
-0.02022271230816841,
0.0334431491792202,
-0.005055678077042103,
-0.01711362972855568,
0.002301040105521679,
-0.018417438492178917,
0.019219782203435898,
-0.03490195795893669,
0.032257869839668274,
-0.03411784768104553,
0.04343597590923309,
0.029249079525470734,
0.022976210340857506,
0.01940213330090046,
-0.036871347576379776,
-0.04277951270341873,
-0.0138130784034729,
-0.028537912294268608,
0.011059580370783806,
0.017004217952489853,
-0.05649229884147644,
0.025018539279699326,
0.062072236090898514,
0.054486438632011414,
0.02257503755390644,
-0.04183128848671913,
0.002719307318329811,
-0.0215903427451849,
-0.009637243114411831,
0.00014046714932192117,
-0.0754203200340271,
0.0011357039911672473,
0.029923778027296066,
-0.01074046641588211,
-0.02968672104179859,
0.04642653092741966,
0.009910769760608673,
0.02412502095103264,
-0.07195565104484558,
0.02082446962594986,
-0.017387155443429947,
-0.03280492126941681,
-0.030580241233110428,
-0.003571797627955675,
0.02888437733054161,
-0.04121129587292671,
-0.041284237056970596,
-0.003382608760148287,
0.017414508387446404,
-0.011716043576598167,
0.004855092149227858,
-0.0007903770310804248,
-0.0009892535163089633,
0.03161964192986488,
-0.02873849682509899,
0.030507300049066544,
-0.027334395796060562,
0.012582209892570972,
-0.010111356154084206,
-0.015663940459489822,
-0.002605338115245104,
0.003847603453323245,
0.020733295008540154,
-0.030817298218607903,
0.042378343641757965,
-0.006400515791028738,
-0.0027580568566918373,
-0.010129590518772602,
-0.034172553569078445,
-0.01412307471036911,
-0.015335707925260067,
-0.0070205084048211575,
-0.06633924692869186,
0.002774012740701437,
-0.020423296838998795,
0.04573359712958336,
-0.027060870081186295,
-0.021389756351709366,
-0.0018041339935734868,
-0.03169258311390877,
-0.016384225338697433,
0.006605660542845726,
-0.010858993977308273,
-0.012108097784221172,
-0.0036173854023218155,
0.026459110900759697,
-0.026787342503666878,
-0.0609416626393795,
-0.03822074085474014,
0.030252009630203247,
-0.028774967417120934,
0.023887963965535164,
0.010448705404996872,
-0.026076175272464752,
0.011068698018789291,
-0.002147181425243616,
-0.010439587756991386,
-0.017332449555397034,
-0.00016169394075404853,
-0.002032072516158223,
0.06302046030759811,
-0.004385538399219513,
0.026276759803295135,
0.029723191633820534,
0.004520022310316563,
0.024380311369895935,
-0.0073441811837255955,
-0.021736223250627518,
-0.006281987298280001,
0.017432743683457375,
-0.005306410137563944,
-0.046025361865758896,
-0.00524258753284812,
0.007134478073567152,
0.003528489265590906,
-0.001519210753031075,
-0.020860940217971802,
-0.014451306313276291,
0.020569179207086563,
-0.0008410934242419899,
0.03648841008543968,
-0.08089084923267365,
-0.031765520572662354,
-0.002332951407879591,
-0.03349785506725311,
0.026076175272464752,
0.026386171579360962,
-0.0022292393259704113,
-0.007207418326288462,
-0.01694951392710209,
0.008132848888635635,
-0.016210991889238358,
-0.011752513237297535,
-0.02321326546370983,
0.001858839183114469,
0.006154342088848352,
-0.011588397435843945,
-0.03028848022222519,
-0.011779866181313992,
-0.08614255487918854,
0.019821539521217346,
-0.029084963724017143,
-0.029121434316039085,
-0.02459913305938244,
-0.020405063405632973,
0.009108426049351692,
-0.017560388892889023,
0.007002273574471474,
-0.012053392827510834,
-0.04449361190199852,
-0.020459767431020737,
-0.002675998955965042,
-0.0006707092979922891,
0.022046219557523727,
0.003225330961868167,
-0.02479971945285797,
-0.028957318514585495,
0.0524076409637928,
-0.04668182134628296,
-0.0524076409637928,
0.019274486228823662,
-0.06134283170104027,
-0.0007282638107426465,
0.028154974803328514,
0.0024776924401521683,
-0.002309017814695835,
0.015162475407123566,
-0.009564302861690521,
-0.0014690641546621919,
0.006496249698102474,
0.025602063164114952,
-0.06477102637290955,
-0.006473456043750048,
0.026149114593863487,
0.07593090087175369,
-0.027206750586628914,
-0.004273848608136177,
0.04511360451579094,
0.020131535828113556,
-0.04310774430632591,
-0.00042339591891504824,
0.02793615311384201,
-0.011004875414073467,
-0.016648635268211365,
-0.01694951392710209,
-0.006737864576280117,
-0.0013870063703507185,
-0.08081790804862976,
-0.03123670443892479,
0.048359449952840805,
0.017724504694342613,
0.011852806434035301,
0.02224680595099926,
-0.02131681703031063,
-0.004754798952490091
] |
We introduce TeleQnA, the first benchmark dataset designed to evaluate the
knowledge of Large Language Models (LLMs) in telecommunications. Comprising
10,000 questions and answers, this dataset draws from diverse sources,
including standards and research articles. This paper outlines the automated
question generation framework responsible for creating this dataset, along with
how human input was integrated at various stages to ensure the quality of the
questions. Afterwards, using the provided dataset, an evaluation is conducted
to assess the capabilities of LLMs, including GPT-3.5 and GPT-4. The results
highlight that these models struggle with complex standards related questions
but exhibit proficiency in addressing general telecom-related inquiries.
Additionally, our results showcase how incorporating telecom knowledge context
significantly enhances their performance, thus shedding light on the need for a
specialized telecom foundation model. Finally, the dataset is shared with
active telecom professionals, whose performance is subsequently benchmarked
against that of the LLMs. The findings illustrate that LLMs can rival the
performance of active professionals in telecom knowledge, thanks to their
capacity to process vast amounts of information, underscoring the potential of
LLMs within this domain. The dataset has been made publicly accessible on
GitHub. | [
-0.01906665414571762,
-0.006778241600841284,
-0.028590859845280647,
0.027806298807263374,
0.030707350000739098,
0.011877886950969696,
-0.039994362741708755,
0.031820330768823624,
-0.010691923089325428,
0.026419632136821747,
-0.0006425873143598437,
-0.05834943801164627,
-0.004132628906518221,
0.028262438252568245,
-0.045905936509370804,
0.02377402037382126,
-0.013711570762097836,
-0.0015542972832918167,
0.009054380469024181,
-0.009998590685427189,
-0.036217521876096725,
0.024266650900244713,
-0.025689808651804924,
0.03373612090945244,
0.04207435995340347,
0.015527008101344109,
0.03751295804977417,
-0.008484205231070518,
-0.04689119756221771,
0.038790151476860046,
0.0011654378613457084,
-0.008871924132108688,
0.02101893350481987,
-0.0746610090136528,
-0.05659785866737366,
-0.0006363153806887567,
0.02211366966366768,
0.06134171783924103,
-0.043315060436725616,
0.01609262079000473,
-0.007375784683972597,
0.00136043771635741,
0.010153678245842457,
-0.03893611580133438,
0.019030163064599037,
-0.04586944356560707,
0.029740331694483757,
-0.02348208986222744,
0.04951856657862663,
-0.03406453877687454,
0.03625401109457016,
-0.023007705807685852,
0.027185948565602303,
-0.008958591148257256,
-0.03234945237636566,
0.050941724330186844,
0.05046733841300011,
0.005710873752832413,
0.0994020402431488,
-0.028335420414805412,
0.021055424585938454,
0.04346102476119995,
-0.007448767311871052,
-0.01791718229651451,
0.031054016202688217,
-0.06918732821941376,
-0.053058210760354996,
0.016110867261886597,
-0.0005168637144379318,
0.001918068970553577,
-0.04827786609530449,
0.022588055580854416,
-0.009040696546435356,
0.04433681443333626,
-0.019376829266548157,
0.02444910816848278,
0.034684889018535614,
0.041089098900556564,
0.06539224088191986,
0.004442804027348757,
0.00790034607052803,
0.05181751027703285,
0.032896820455789566,
0.022642793133854866,
0.06874942779541016,
-0.013875780627131462,
-0.05232838913798332,
-0.08035363256931305,
0.004949119873344898,
-0.011841395869851112,
-0.021785249933600426,
0.0016170165035873652,
-0.01663086749613285,
-0.05834943801164627,
-0.025379633530974388,
0.021967705339193344,
-0.011029466986656189,
-0.0330975241959095,
-0.049846988171339035,
0.02559858001768589,
0.03333471715450287,
-0.020599285140633583,
0.037312258034944534,
0.0410161130130291,
0.0002389033616054803,
-0.015399288386106491,
-0.05196347460150719,
0.009998590685427189,
0.01705963909626007,
0.10246730595827103,
-0.014788061380386353,
-0.011357887648046017,
-0.04404488578438759,
-0.021493319422006607,
-0.01799928769469261,
0.005779294762760401,
-0.01188701018691063,
-0.04061471298336983,
0.028590859845280647,
-0.05057680979371071,
-0.060319963842630386,
0.010354379191994667,
-0.027934018522500992,
-0.03769541531801224,
0.0003532234695740044,
0.08524345606565475,
-0.01511648204177618,
0.003890874795615673,
0.03773190453648567,
0.014614727348089218,
-0.02003367245197296,
0.0037175414618104696,
-0.045796461403369904,
-0.010199291631579399,
0.007567363791167736,
0.014733323827385902,
-0.01053683552891016,
0.03574313595890999,
-0.01239788718521595,
-0.006112277042120695,
0.011248414404690266,
0.023062441498041153,
0.004939997103065252,
0.011522098444402218,
-0.004433681257069111,
0.021110162138938904,
-0.045103128999471664,
0.08743292838335037,
0.023226652294397354,
-0.01520770974457264,
-0.019376829266548157,
0.019376829266548157,
-0.03926453739404678,
0.009743152186274529,
-0.009569818153977394,
-0.04674523323774338,
-0.04236628860235214,
0.015727709978818893,
-0.018884198740124702,
0.011503852903842926,
-0.012105957604944706,
-0.0370568186044693,
0.041089098900556564,
-0.021292617544531822,
0.045322075486183167,
0.007945960387587547,
0.07418662309646606,
-0.02152981050312519,
-0.07415013015270233,
0.03317050635814667,
0.040870148688554764,
0.06385961174964905,
-0.030780332162976265,
0.02158454805612564,
0.008251573890447617,
-0.0007999556255526841,
-0.026529105380177498,
0.03357191011309624,
-0.015007007867097855,
0.03344418853521347,
-0.01837332174181938,
-0.005058593116700649,
0.021949460729956627,
0.008465959690511227,
0.024522090330719948,
-0.006116838194429874,
0.057473648339509964,
0.01071016862988472,
0.004684558603912592,
0.008940345607697964,
-0.018163496628403664,
0.012032974511384964,
0.018035778775811195,
-0.012498238123953342,
-0.007494381163269281,
-0.05922522768378258,
-0.03180208429694176,
0.03915506228804588,
0.013200693763792515,
-0.04316909611225128,
-0.01001683622598648,
0.029740331694483757,
0.018938936293125153,
-0.0005641882307827473,
0.016667358577251434,
0.047912951558828354,
-0.038972608745098114,
0.05247435346245766,
-0.0032728048972785473,
-0.003432454075664282,
-0.039884887635707855,
-0.03047015704214573,
-0.04003085196018219,
-0.0014391219010576606,
0.011640694923698902,
-0.015171218663454056,
-0.0034050855319947004,
-0.05692628026008606,
0.019212620332837105,
0.0007321048178710043,
0.010746659711003304,
0.018437180668115616,
0.060319963842630386,
0.024595072492957115,
-0.0667424127459526,
-0.06320276856422424,
0.004381225444376469,
0.015527008101344109,
-0.019741741940379143,
0.04010383412241936,
0.020854724571108818,
0.023974722251296043,
-0.009807011112570763,
-0.019541040062904358,
0.058495402336120605,
-0.02090946026146412,
0.022186653688549995,
-0.01718735694885254,
-0.0700996071100235,
-0.004600172396749258,
0.0008735082228668034,
-0.0266933161765337,
0.0002267871459480375,
-0.0581669807434082,
0.07290942966938019,
-0.049445584416389465,
0.01417683344334364,
0.005163505673408508,
0.00410982221364975,
0.0010377186117693782,
-0.02142033725976944,
-0.05061330273747444,
-0.02530665136873722,
-0.010919992811977863,
-0.02193121425807476,
0.011549466289579868,
0.025014720857143402,
-0.041308045387268066,
0.01981472410261631,
-0.049226634204387665,
0.020362092182040215,
-0.002545261522755027,
-0.05189049243927002,
0.021164899691939354,
-0.06535574793815613,
-0.0028075422160327435,
0.05050382763147354,
-0.035816118121147156,
-0.026711562648415565,
-0.01460560504347086,
0.01053683552891016,
0.016931919381022453,
-0.00591157516464591,
0.015682095661759377,
-0.02187647670507431,
-0.031126998364925385,
-0.010053327307105064,
-0.0307620856910944,
-0.031236471608281136,
-0.01791718229651451,
0.012078588828444481,
-0.07524486631155014,
0.014669464901089668,
0.0072571886703372,
-0.015645604580640793,
-0.03406453877687454,
0.058604877442121506,
-0.021657530218362808,
-0.019851215183734894,
-0.04758452996611595,
-0.029941033571958542,
-0.006896837614476681,
-0.023390863090753555,
0.00019400207384023815,
0.015682095661759377,
0.004725611303001642,
-0.003637717105448246,
-0.020654022693634033,
0.05813049152493477,
0.01935858465731144,
-0.0653192549943924,
0.00760385487228632,
-0.03973892331123352,
0.03824278339743614,
-0.03922804445028305,
-0.0005194295081309974,
-0.01957753114402294,
0.05853189155459404,
0.004921751096844673,
0.0007902626530267298,
0.03098103404045105,
-0.09254169464111328,
-0.024996476247906685,
-0.03373612090945244,
-0.009578941389918327,
0.051562074571847916,
0.003423331305384636,
-0.046526286751031876,
-0.007416837383061647,
-0.05623294785618782,
0.06083083897829056,
0.055977508425712585,
-0.08473257720470428,
0.045905936509370804,
0.02364630065858364,
0.0034392960369586945,
0.07670451700687408,
0.031236471608281136,
0.01919437386095524,
-0.020654022693634033,
-0.030378928408026695,
0.012014728970825672,
-0.0539340004324913,
-0.02634664997458458,
0.06612206250429153,
-0.02329963445663452,
-0.019322093576192856,
-0.013638587668538094,
-0.04105260595679283,
0.014249815605580807,
-0.0071842060424387455,
-0.004552277736365795,
-0.03172910213470459,
-0.032495416700839996,
0.006271925754845142,
-0.07071995735168457,
-0.058203473687171936,
0.05440838634967804,
-0.038863133639097214,
0.0270217377692461,
0.001152323791757226,
0.027934018522500992,
-0.01019016932696104,
0.03798734396696091,
0.042001377791166306,
-0.004458769224584103,
-0.05320417881011963,
-0.039191555231809616,
0.010637186467647552,
0.057692594826221466,
0.0309262964874506,
-0.03488559275865555,
-0.0331522598862648,
0.040468744933605194,
-0.10998449474573135,
-0.02335437200963497,
-0.0040299976244568825,
0.010053327307105064,
0.0021769285667687654,
-0.04032278060913086,
0.03973892331123352,
0.04284067451953888,
0.0028257877565920353,
0.015052622184157372,
0.025854019448161125,
-0.013848412781953812,
-0.019030163064599037,
-0.026200685650110245,
0.011421747505664825,
0.042986638844013214,
-0.010162800550460815,
0.012625956907868385,
0.050759267061948776,
0.006759995594620705,
-0.024011213332414627,
-0.028189456090331078,
0.009551572613418102,
-0.0006796487141400576,
-0.06433399766683578,
0.027915772050619125,
0.024522090330719948,
0.0015337709337472916,
-0.052255406975746155,
-0.060210488736629486,
0.026273667812347412,
0.02696700021624565,
0.0066596451215445995,
0.001913507585413754,
0.018592268228530884,
-0.05199996754527092,
-0.03191155940294266,
0.04251225292682648,
-0.020635776221752167,
0.027569105848670006,
-0.015070867724716663,
-0.03838874772191048,
-0.008963151834905148,
-0.013383149169385433,
-0.022533319890499115,
0.0012509641237556934,
-0.00897227507084608,
-0.028645595535635948,
-0.04951856657862663,
-0.03242243453860283,
0.05966312065720558,
0.0017538585234433413,
-0.026072965934872627,
0.010910870507359505,
-0.029302438721060753,
0.019832970574498177,
-0.02800700068473816,
0.04856979474425316,
0.0369473434984684,
0.041490498930215836,
-0.0574006661772728,
0.021621039137244225,
-0.04919014498591423,
0.03178384155035019,
-0.013072974048554897,
-0.0824701264500618,
0.07214311510324478,
0.007015434093773365,
0.052656810730695724,
-0.03795085474848747,
0.033936820924282074,
-0.0013752622762694955,
-0.016959287226200104,
0.007617539260536432,
-0.010126309469342232,
0.030324190855026245,
-0.03784137964248657,
-0.009825256653130054,
0.017524901777505875,
-0.024595072492957115,
-0.0615241713821888,
-0.026218930259346962,
-0.01783507689833641,
-0.010728414170444012,
-0.01308209728449583,
-0.0266933161765337,
-0.023573318496346474,
0.04174593836069107,
-0.10589747875928879,
0.041563481092453,
-0.004087015055119991,
-0.05710873752832413,
0.02618243917822838,
-0.016931919381022453,
0.015709463506937027,
-0.04871575906872749,
-0.027514368295669556,
0.0166582353413105,
0.04696417972445488,
-0.01757051609456539,
-0.0031336823012679815,
-0.00035578926326707006,
-0.04776698723435402,
-0.036618925631046295,
0.009414730593562126,
0.027404895052313805,
0.006714381743222475,
-0.00556947011500597,
-0.006499995943158865,
0.013100342825055122,
0.019595777615904808,
-0.028079982846975327,
-0.0034689451567828655,
-0.029521385207772255,
-0.027696825563907623,
-0.021675776690244675,
0.0654287338256836,
0.04619786515831947,
0.013912271708250046,
0.031747348606586456,
-0.005168066825717688,
-0.0024768405128270388,
0.023208405822515488,
0.005044909194111824,
0.01780770905315876,
-0.0497010201215744,
0.003749471390619874,
-0.02736840397119522,
-0.03145541995763779,
-0.018519286066293716,
0.0032317524310201406,
-0.029302438721060753,
0.0006317539955489337,
0.01368420198559761,
-0.022588055580854416,
-0.04638032242655754,
-0.03333471715450287,
0.006249119061976671,
-0.027167702093720436,
0.008388415910303593,
0.020745249465107918,
-0.005647013895213604,
0.042694710195064545,
0.05061330273747444,
-0.037020329385995865,
0.021621039137244225,
0.03853471204638481,
-0.006536487024277449,
0.018464550375938416,
0.0008552626240998507,
-0.02977682277560234,
0.025288404896855354,
-0.029521385207772255,
-0.009049818851053715,
0.057692594826221466,
0.011175431311130524,
0.03103576973080635,
0.0007520609069615602,
-0.006043856032192707,
0.037877872586250305,
-0.03185682371258736,
0.03618102893233299,
0.0009185520466417074,
0.026383141055703163,
0.05375154688954353,
-0.023463845252990723,
-0.026072965934872627,
0.037366993725299835,
-0.010317888110876083,
-0.0053322771564126015,
-0.03245892748236656,
-0.024485599249601364,
0.007179644424468279,
0.00942385382950306,
-0.01708700694143772,
-0.04776698723435402,
-0.03172910213470459,
0.045212604105472565,
0.014213324524462223,
0.0124252550303936,
0.035524189472198486,
-0.012005606666207314,
0.009432976134121418,
-0.02789752557873726,
0.024321388453245163,
-0.0025201737880706787,
0.0536055788397789,
0.005432628095149994,
0.05601400136947632,
0.045212604105472565,
-0.024704545736312866,
-0.0144322719424963,
-0.009086309932172298,
-0.042694710195064545,
-0.026675071567296982,
-0.03355366364121437,
-0.005852276924997568,
0.04039576277136803,
-0.009879994206130505,
0.013218939304351807,
-0.009378239512443542,
0.0124252550303936,
0.034849099814891815,
0.019668759778141975,
-0.015271569602191448,
0.024175424128770828,
-0.023117179051041603,
-0.013282799161970615,
-0.04112558811903,
0.018920689821243286,
0.007622100412845612,
0.012005606666207314,
0.001754998927935958,
-0.05280277505517006,
-0.03103576973080635,
0.00010441330960020423,
-0.009099993854761124,
-0.005724557675421238,
0.005204558372497559,
0.04718312993645668,
-0.008657538332045078,
0.007494381163269281,
-0.03098103404045105,
-0.019157882779836655,
0.0700996071100235,
0.0025201737880706787,
0.020124899223446846,
0.02937542088329792,
-0.015070867724716663,
-0.0326596274971962,
0.0035556117072701454,
-0.022770512849092484,
0.03629050403833389,
0.025416124612092972,
0.018136128783226013,
-0.06692487001419067,
0.002204296877607703,
0.01268069352954626,
0.041599974036216736,
0.05170803889632225,
-0.01957753114402294,
-0.011294027790427208,
0.024887001141905785,
-0.014724201522767544,
-0.014058236964046955,
0.0051452601328492165,
0.015171218663454056,
-0.019139636307954788,
0.052255406975746155,
0.003252278780564666,
-0.011038589291274548,
-0.012215430848300457,
0.0077771879732608795,
-0.00743052177131176,
0.006267364602535963,
-0.011257536709308624,
-0.0014037711080163717,
-0.004581926856189966,
0.004976488184183836,
-0.027642088010907173,
0.018920689821243286,
0.05130663514137268,
-0.02565331757068634,
-0.06418803334236145,
-0.006563855335116386,
-0.01957753114402294,
0.0001874450535979122,
0.018674373626708984,
0.009086309932172298,
-0.017223848029971123,
0.014532622881233692,
0.02313542366027832,
0.009460344910621643,
0.0018325427081435919,
0.010947361588478088,
-0.0372757650911808,
0.013383149169385433,
0.004096137825399637,
-0.06072136387228966,
0.11801255494356155,
-0.013456132262945175,
-0.027003491297364235,
0.016557883471250534,
0.04316909611225128,
0.06203505024313927,
0.05199996754527092,
-0.0023445598781108856,
0.04627084732055664,
0.0003050436789635569,
0.023956475779414177,
-0.06320276856422424,
-0.01368420198559761,
0.038863133639097214,
-0.014924903400242329,
0.0029443842358887196,
0.009943853132426739,
0.053459614515304565,
0.012388763949275017,
0.005683505441993475,
-0.02576279081404209,
0.01692279614508152,
-0.07991573959589005,
-0.009136485867202282,
0.04740207642316818,
0.011430869810283184,
0.00587052246555686,
0.0009516222053207457,
-0.027277175337076187,
-0.02238735370337963,
-0.01265332568436861,
-0.0015474552055820823,
-0.028955770656466484,
-0.01970525085926056,
0.015563499182462692,
0.017652619630098343,
-0.00531403161585331,
-0.021347355097532272,
-0.018482794985175133,
-0.010263151489198208,
0.005724557675421238,
-0.010463853366672993,
0.0042443834245204926,
-0.001234999275766313,
-0.018136128783226013,
-0.01617472618818283,
-0.031236471608281136,
-0.007503503933548927,
-0.028901034966111183,
-0.05229189619421959,
0.001411753473803401,
-0.014559990726411343,
-0.008671222254633904,
0.03125471621751785,
0.016238586977124214,
0.01801753230392933,
-0.040468744933605194,
0.008383854292333126,
0.014587359502911568,
0.010874379426240921,
-0.010327011346817017,
-0.0062628029845654964,
0.049846988171339035,
0.028736824169754982,
-0.01681332290172577,
-0.011011221446096897,
-0.00514069851487875,
-0.004121225327253342,
-0.014103851281106472,
0.010573326610028744,
-0.00044616201194003224,
0.01454174518585205,
0.004935435485094786,
-0.012078588828444481,
0.0010479817865416408,
-0.024540334939956665,
0.009779643267393112,
-0.016858937218785286,
0.036965589970350266,
0.011385256424546242,
-0.044300321489572525,
-0.02828068472445011,
0.01912139169871807,
0.021566301584243774,
-0.0005168637144379318,
0.010591572150588036,
0.006536487024277449,
0.002399296732619405,
0.00011745606752811,
0.007822802290320396,
0.01588279753923416,
0.034447696059942245,
-0.031108751893043518,
-0.011604202911257744,
0.017971917986869812,
0.027477877214550972,
-0.02377402037382126,
0.01603788509964943,
-0.029594367370009422,
-0.015846306458115578,
0.0008461397956125438,
-0.022825248539447784,
0.04105260595679283,
-0.020124899223446846,
0.0247957743704319,
0.005907014012336731,
-0.03577962517738342,
-0.023847002536058426,
-0.04083365947008133,
0.025635071098804474,
-0.002574910642579198,
-0.019942443817853928,
0.03973892331123352,
0.0113122733309865,
0.01285402663052082,
-0.0029626297764480114,
-0.0004920610808767378,
-0.017014024779200554,
0.07141328603029251,
-0.0186652522534132,
-0.007973328232765198,
0.0036696468014270067,
-0.009227713569998741,
-0.016858937218785286,
0.02995928004384041,
-0.011458238586783409,
-0.03143717348575592,
0.022058933973312378,
-0.005391575396060944,
0.053861018270254135,
-0.06940627098083496,
0.01767086610198021,
0.03047015704214573,
0.02329963445663452,
-0.016211217269301414,
-0.036272257566452026,
0.01646665669977665,
-0.037476468831300735,
0.009451222606003284,
-0.016019638627767563,
0.06838452070951462,
-0.029192963615059853,
-0.019084900617599487,
0.04302313178777695,
-0.052839264273643494,
0.013374026864767075,
0.05291224643588066,
0.013547359965741634,
-0.03723927587270737,
0.0372210294008255,
0.011531220749020576,
0.035305239260196686,
-0.0055056107230484486,
0.02766033448278904,
0.05112417787313461,
-0.06017399579286575,
0.0039935060776770115,
0.041308045387268066,
-0.009770520031452179,
0.07874801754951477,
0.0450301468372345,
-0.04499365761876106,
0.017068760469555855,
-0.06006452441215515,
-0.008876485750079155,
-0.013273675926029682,
0.026985246688127518,
0.016995778307318687,
0.03725752234458923,
0.029284192249178886,
0.0065821013413369656,
0.03286033123731613,
-0.0029033315367996693,
0.012516483664512634,
-0.023463845252990723,
0.007416837383061647,
-0.0027528053615242243,
-0.022314371541142464,
-0.03922804445028305,
-0.00501297926530242,
0.01924911141395569,
-0.06568416953086853,
0.002149560023099184,
0.04678172618150711,
0.020708758383989334,
0.030999278649687767,
0.002200875896960497,
-0.005318593233823776,
0.010783150792121887,
-0.008174030110239983,
-0.014249815605580807,
-0.041490498930215836,
0.036217521876096725,
0.0026410510763525963,
0.0023582440335303545,
0.002809822792187333,
0.044008392840623856,
-0.06714382022619247,
-0.0332069955766201,
0.0045545585453510284,
-0.015162095427513123,
-0.05236487835645676,
-0.004693681374192238,
0.029010508209466934,
-0.020471565425395966,
-0.03196629509329796,
0.04065120220184326,
0.03740348666906357,
0.05189049243927002,
-0.010208414867520332,
-0.0032408752012997866,
-0.02371928282082081,
0.005957189481705427,
-0.0709753930568695,
0.06648697704076767,
0.002110788132995367,
-0.048825234174728394,
-0.040468744933605194,
0.009542450308799744,
-0.04346102476119995,
-0.014997885562479496,
0.03121822699904442,
-0.034101031720638275,
0.012115079909563065,
-0.05710873752832413,
0.03191155940294266,
-0.02107367105782032,
0.002467717742547393,
-0.014915780164301395,
-0.015435779467225075,
-0.011494729667901993,
0.0030515771359205246,
-0.01757051609456539,
-0.01895718090236187,
-0.0124252550303936,
0.003779120510444045,
-0.019322093576192856,
0.01385753508657217,
0.04605190083384514,
-0.00014489574823528528,
0.015727709978818893,
0.033936820924282074,
0.011868764646351337,
-0.021037179976701736,
0.00976139772683382,
0.007102100644260645,
-0.015326306223869324,
-0.00914560817182064,
0.015043498948216438,
0.014924903400242329,
-0.049044180661439896,
0.015025253407657146,
0.03740348666906357,
-0.029411911964416504,
0.006609469652175903,
-0.04116208106279373,
0.007165960501879454,
0.02003367245197296,
-0.00561052281409502,
-0.005496487952768803,
-0.05984557792544365,
0.03658243268728256,
-0.008351924829185009,
0.009487713687121868,
-0.0333712063729763,
0.022296126931905746,
-0.011704553849995136,
-0.0018348234007135034,
0.04860628396272659,
0.03457541763782501,
-0.03132769837975502,
0.011339642107486725,
0.024668054655194283,
0.01884770765900612,
-0.020015425980091095,
0.03692910075187683,
0.012407009489834309,
0.007822802290320396,
0.05291224643588066,
0.03900909796357155,
0.04375295341014862,
-0.01585542783141136,
0.011439993046224117,
-0.011403501965105534,
-0.03327997773885727,
0.00041679799323901534,
-0.018938936293125153,
-0.01477893814444542,
0.013474377803504467,
-0.011549466289579868,
-0.009451222606003284,
0.031236471608281136,
0.0030835068318992853,
0.016083499416708946,
0.00022607442224398255,
-0.027459632605314255,
-0.005327716004103422,
-0.003694734536111355,
-0.03526875004172325,
0.016284199431538582,
-0.0014687710208818316,
0.007457890082150698,
0.028992261737585068,
0.08984135091304779,
-0.02720419317483902,
0.02581752836704254,
0.06794662773609161,
0.00009856902033789083,
0.005350523162633181,
0.014441394247114658,
-0.0145143773406744,
-0.019778233021497726,
0.007727012503892183,
0.004034558776766062,
-0.03871716931462288,
-0.013957886025309563,
0.001227016793563962,
-0.008826309815049171,
0.029904542490839958,
-0.011494729667901993,
-0.025270160287618637,
-0.04488418251276016,
0.0207270048558712,
-0.0036536818370223045,
-0.06893188506364822,
-0.019796479493379593,
-0.0035578925162553787,
-0.015919288620352745,
0.041891902685165405,
-0.015864551067352295,
0.01317332498729229,
0.026656825095415115,
-0.02118314430117607,
0.015107358805835247,
-0.004043681547045708,
-0.02370103821158409,
0.04141751676797867,
0.07028206437826157,
-0.016110867261886597,
-0.0021073671523481607,
0.054262422025203705,
0.002736840397119522,
-0.008525257930159569,
-0.01919437386095524,
-0.007909468375146389,
-0.026766298338770866,
0.01675858534872532,
-0.002654735231772065,
-0.020179636776447296,
0.023007705807685852,
0.010053327307105064,
-0.003145085647702217,
-0.013364903628826141,
0.020179636776447296,
-0.02335437200963497,
-0.009624555706977844,
0.010892624966800213,
-0.004981049336493015,
-0.02806173637509346,
-0.00397526053711772,
0.04010383412241936,
-0.022460337728261948,
0.01268069352954626,
0.01445963978767395,
-0.007626662030816078,
-0.03995786979794502,
0.056488387286663055,
-0.00026085510035045445,
-0.00418964633718133,
-0.0075628021731972694,
-0.024923494085669518,
-0.008269819431006908,
-0.002565787872299552,
-0.021949460729956627,
-0.002511051017791033,
-0.010764905251562595,
-0.03926453739404678,
-0.02131086401641369,
-0.029046999290585518,
-0.03413752093911171,
-0.04386242851614952
] |
The pre-train and fine-tune paradigm in machine learning has had dramatic
success in a wide range of domains because the use of existing data or
pre-trained models on the internet enables quick and easy learning of new
tasks. We aim to enable this paradigm in robotic reinforcement learning,
allowing a robot to learn a new task with little human effort by leveraging
data and models from the Internet. However, reinforcement learning often
requires significant human effort in the form of manual reward specification or
environment resets, even if the policy is pre-trained. We introduce RoboFuME, a
reset-free fine-tuning system that pre-trains a multi-task manipulation policy
from diverse datasets of prior experiences and self-improves online to learn a
target task with minimal human intervention. Our insights are to utilize
calibrated offline reinforcement learning techniques to ensure efficient online
fine-tuning of a pre-trained policy in the presence of distribution shifts and
leverage pre-trained vision language models (VLMs) to build a robust reward
classifier for autonomously providing reward signals during the online
fine-tuning process. In a diverse set of five real robot manipulation tasks, we
show that our method can incorporate data from an existing robot dataset
collected at a different institution and improve on a target task within as
little as 3 hours of autonomous real-world experience. We also demonstrate in
simulation experiments that our method outperforms prior works that use
different RL algorithms or different approaches for predicting rewards. Project
website: https://robofume.github.io | [
-0.01042854692786932,
0.006581790745258331,
-0.029790228232741356,
-0.06505052000284195,
0.028393195942044258,
0.028353841975331306,
-0.026464898139238358,
0.014255627058446407,
-0.06284675747156143,
0.0282751377671957,
0.007437718566507101,
-0.025146571919322014,
-0.007260629907250404,
-0.032367851585149765,
-0.028570285066962242,
0.011382858268916607,
0.012622477486729622,
0.016852926462888718,
-0.04195030778646469,
-0.06367316842079163,
0.01708904467523098,
-0.02288377471268177,
-0.035988327115774155,
-0.013901450671255589,
0.008229698054492474,
-0.0011590691283345222,
-0.017354676499962807,
0.013330832123756409,
-0.031029848381876945,
0.048719026148319244,
0.042225778102874756,
0.04285542666912079,
-0.0035245539620518684,
0.04627913981676102,
-0.0007470923010259867,
0.030774053186178207,
0.05603868514299393,
0.04895514249801636,
-0.033509086817502975,
0.03848724439740181,
-0.00715732853859663,
-0.004117308650165796,
-0.016370851546525955,
-0.045649491250514984,
0.009779222309589386,
-0.045492079108953476,
-0.028078371658921242,
0.008460897020995617,
0.007132732775062323,
-0.021329330280423164,
0.03085275925695896,
0.0421077199280262,
0.014029347337782383,
0.008387110196053982,
-0.024261130020022392,
0.03211205452680588,
0.07496748119592667,
0.005135567858815193,
0.00923811923712492,
-0.015150908380746841,
0.03516191244125366,
-0.002423899481073022,
-0.0430128388106823,
-0.008672419004142284,
0.04781390726566315,
-0.03892012685537338,
0.04439019411802292,
-0.05627480149269104,
0.025638485327363014,
0.007895197719335556,
-0.0067293643951416016,
0.034355178475379944,
-0.05517292022705078,
0.010615474544465542,
0.0010895864106714725,
-0.0037065616343170404,
0.03622444346547127,
-0.016036350280046463,
0.013242287561297417,
-0.02679939940571785,
0.006099716294556856,
0.023965982720255852,
0.007250791881233454,
-0.033410705626010895,
0.07374753803014755,
-0.04175354167819023,
0.019528931006789207,
-0.06756911426782608,
0.01233716867864132,
-0.03461097180843353,
-0.06544405221939087,
0.024930130690336227,
-0.01643971912562847,
0.01463931892067194,
-0.03531932458281517,
0.02353309839963913,
-0.0129274632781744,
-0.0005438709049485624,
-0.0842941477894783,
0.030990494415163994,
-0.028865432366728783,
0.028471902012825012,
0.026976486667990685,
-0.02908187359571457,
0.014049024321138859,
-0.010989327915012836,
-0.03254493698477745,
-0.0353783555328846,
0.022470567375421524,
0.08500249683856964,
0.01013339962810278,
-0.026032015681266785,
-0.05682574585080147,
0.06379123032093048,
-0.01991262286901474,
0.018515590578317642,
-0.031226612627506256,
-0.07244888693094254,
0.07292112708091736,
-0.01444255467504263,
0.02422177605330944,
0.05686509609222412,
0.0468694344162941,
-0.04139936715364456,
-0.016262630000710487,
0.040297482162714005,
0.00075693050166592,
0.03303685039281845,
0.048168081790208817,
-0.009912039153277874,
-0.020079873502254486,
0.008667499758303165,
-0.010940136387944221,
0.008578956127166748,
0.02229348011314869,
0.010890944860875607,
-0.008810155093669891,
0.04037618637084961,
-0.04116324707865715,
-0.03600800409913063,
0.0024903076700866222,
0.02471368946135044,
-0.024949807673692703,
0.02471368946135044,
0.028019342571496964,
0.02927863784134388,
-0.002356261480599642,
0.08878038823604584,
0.000025594828912289813,
0.018554944545030594,
-0.06961547583341599,
0.030242787674069405,
-0.05399232730269432,
0.030085375532507896,
0.04478372260928154,
-0.030892111361026764,
-0.017207102850079536,
0.02233283221721649,
-0.00660146726295352,
-0.027527429163455963,
0.07878472656011581,
-0.04100583493709564,
0.002634192118421197,
0.09358145296573639,
0.07488877326250076,
0.023356011137366295,
0.03754277154803276,
-0.044705018401145935,
-0.012396197766065598,
0.0430915430188179,
-0.03976621478796005,
-0.03134467080235481,
0.06453893333673477,
0.021112889051437378,
0.05222144350409508,
0.007452475838363171,
0.02170318365097046,
0.026760045439004898,
-0.03890044987201691,
-0.042973484843969345,
-0.03130531683564186,
0.020443888381123543,
0.03697215020656586,
0.05859662964940071,
0.054425209760665894,
0.06241387128829956,
-0.00039814176852814853,
0.024694012477993965,
0.024654660373926163,
-0.048915788531303406,
0.014668834395706654,
0.050096381455659866,
0.0029047438874840736,
0.03154143691062927,
0.031777553260326385,
-0.02500883676111698,
-0.06662464141845703,
0.04136001318693161,
0.02477271854877472,
0.031226612627506256,
-0.04867967218160629,
-0.05946239456534386,
-0.036873769015073776,
-0.00928730983287096,
-0.016823410987854004,
-0.019892945885658264,
0.019774887710809708,
-0.01028097327798605,
0.018013840541243553,
-0.05131632462143898,
0.00535200908780098,
-0.050057027488946915,
-0.0555664487183094,
-0.018958311527967453,
-0.01277988962829113,
-0.018456561490893364,
-0.0025850008241832256,
-0.029101550579071045,
-0.0018028597114607692,
-0.02973119728267193,
-0.04139936715364456,
-0.0039451392367482185,
-0.01581007055938244,
-0.015564114786684513,
-0.07803701609373093,
-0.00731965946033597,
0.031167583540081978,
-0.0193715188652277,
0.017315324395895004,
0.03577188402414322,
-0.014718024991452694,
-0.005376604851335287,
0.0146098043769598,
-0.0017893321346491575,
-0.0015655119204893708,
0.02774387039244175,
-0.004574787337332964,
-0.040651656687259674,
0.007255711127072573,
0.014294980093836784,
0.0263468399643898,
0.017266131937503815,
-0.012101050466299057,
-0.032820411026477814,
0.07850925624370575,
0.03864465653896332,
-0.01344889122992754,
0.038369182497262955,
-0.0022750957868993282,
-0.00839694868773222,
-0.005720943678170443,
-0.02060130052268505,
-0.01211088802665472,
0.041045188903808594,
-0.011077871546149254,
0.09098415821790695,
0.008972486481070518,
-0.05474003404378891,
-0.009582458063960075,
-0.021762214601039886,
-0.0019479739712551236,
0.04454760625958443,
0.03527997061610222,
0.015967482700943947,
-0.0003308112209197134,
0.022726362571120262,
0.05670768395066261,
0.02520560286939144,
0.024497248232364655,
0.00419847434386611,
0.019479738548398018,
-0.013940803706645966,
-0.019971651956439018,
0.036283474415540695,
-0.027370017021894455,
-0.08004402369260788,
0.03557512164115906,
0.030931465327739716,
0.04285542666912079,
-0.014954143203794956,
0.022057361900806427,
0.0003305037971585989,
0.008510088548064232,
-0.03195464238524437,
-0.01037935633212328,
-0.04080906882882118,
-0.022273803129792213,
-0.0050150491297245026,
-0.03075437620282173,
-0.002450954634696245,
-0.016331499442458153,
-0.04745972901582718,
-0.028412872925400734,
0.04254060238599777,
0.04195030778646469,
0.05666833370923996,
-0.05411038547754288,
0.009528347291052341,
-0.0026095963548868895,
0.01377355307340622,
-0.03903818503022194,
0.02115224301815033,
0.047577787190675735,
0.0010945055400952697,
0.007993579842150211,
0.04576754942536354,
0.0003947598743252456,
0.04045489430427551,
-0.01669551432132721,
-0.02705519273877144,
0.011018842458724976,
-0.003283516736701131,
-0.06087910383939743,
-0.030970817431807518,
0.011530431918799877,
0.03502417728304863,
0.01664632186293602,
-0.0007827559602446854,
-0.03323361650109291,
-0.022864097729325294,
-0.05123761668801308,
-0.0028998248744755983,
-0.10247523337602615,
0.04195030778646469,
0.05151308700442314,
0.04293413087725639,
0.014098215848207474,
0.028314489871263504,
-0.01530832052230835,
0.00041166937444359064,
-0.06658528745174408,
-0.02788160741329193,
-0.019155077636241913,
0.025343338027596474,
-0.0018053193343803287,
-0.00817558728158474,
-0.07024512439966202,
0.05474003404378891,
-0.01302584633231163,
-0.0440753698348999,
-0.035496413707733154,
-0.03661797568202019,
0.021034182980656624,
-0.012524095363914967,
0.04195030778646469,
-0.01191412378102541,
0.02046356536448002,
-0.007452475838363171,
-0.055605802685022354,
-0.013576787896454334,
0.0011824349639937282,
-0.06386993080377579,
0.01985359378159046,
0.015288643538951874,
0.03567350283265114,
-0.045492079108953476,
-0.007162247784435749,
0.01163865253329277,
-0.015023010782897472,
0.01668567582964897,
-0.012897948734462261,
-0.04934867471456528,
-0.022352509200572968,
0.042225778102874756,
-0.04923061281442642,
0.02066032961010933,
0.0039279223419725895,
-0.05418909341096878,
0.0014117892133072019,
0.02982958033680916,
-0.0045501915737986565,
0.01335050817579031,
0.03577188402414322,
-0.02243121527135372,
-0.030537934973835945,
-0.0084756538271904,
-0.007299982942640781,
0.0013564489781856537,
-0.06528664380311966,
0.038270801305770874,
-0.020286476239562035,
-0.004109929781407118,
-0.0205619465559721,
0.008210021071135998,
0.03081340529024601,
0.07823377847671509,
0.01527880597859621,
-0.036381855607032776,
-0.046830080449581146,
0.007290144916623831,
0.07024512439966202,
-0.0573766864836216,
-0.019145239144563675,
0.009715273976325989,
0.0020820200443267822,
0.03651959076523781,
0.017895780503749847,
0.019086210057139397,
0.004272261168807745,
-0.00908562634140253,
-0.03319426253437996,
0.04324895516037941,
-0.03649991750717163,
0.007846006192266941,
0.014777055010199547,
-0.015259128995239735,
0.019578121602535248,
-0.029042519629001617,
0.01085159182548523,
-0.005652076099067926,
-0.005917708855122328,
-0.01902717910706997,
-0.010049774311482906,
-0.0005414113402366638,
0.01986343041062355,
0.023060863837599754,
-0.02561880834400654,
-0.012691345065832138,
-0.006094797048717737,
-0.05108020454645157,
0.01070401817560196,
-0.005740620195865631,
0.0468694344162941,
0.021309655159711838,
0.0009893592214211822,
0.011117224581539631,
-0.022805068641901016,
0.013252126052975655,
-0.03136434778571129,
-0.040848422795534134,
0.02089644782245159,
0.02699616365134716,
0.06371252238750458,
0.025677837431430817,
0.006119392812252045,
0.018741870298981667,
0.0468694344162941,
0.015377188101410866,
-0.02075871266424656,
-0.014983657747507095,
0.010733532719314098,
-0.03101017139852047,
-0.005755377467721701,
-0.05899016186594963,
0.004744497127830982,
-0.04234383627772331,
-0.014511422254145145,
-0.0458856076002121,
0.0383298322558403,
-0.0024435759987682104,
-0.04364248737692833,
0.037129562348127365,
-0.08752109110355377,
0.003888569073751569,
0.056156743317842484,
-0.029160579666495323,
0.052378855645656586,
-0.012179756537079811,
-0.005179839674383402,
-0.07390495389699936,
0.06627047061920166,
0.04364248737692833,
0.04132065922021866,
-0.0029219610150903463,
0.010300650261342525,
-0.00995631143450737,
-0.023710187524557114,
-0.05607803910970688,
-0.008879022672772408,
0.04824678972363472,
-0.011500916443765163,
-0.042973484843969345,
-0.021368684247136116,
0.02862931415438652,
0.009621811099350452,
0.032230112701654434,
-0.011323828250169754,
-0.06264998763799667,
0.04037618637084961,
-0.00938569288700819,
0.0032982740085572004,
-0.00812147743999958,
0.034492913633584976,
-0.09853993356227875,
0.010595797561109066,
-0.004112389404326677,
0.05257561802864075,
-0.039648156613111496,
0.03557512164115906,
0.015495247207581997,
0.006099716294556856,
-0.025225277990102768,
-0.03665732592344284,
0.02973119728267193,
0.007929631508886814,
-0.04171418771147728,
-0.032171085476875305,
-0.062138400971889496,
0.06682141125202179,
-0.059226278215646744,
0.02510721981525421,
-0.035791561007499695,
-0.018387693911790848,
-0.0002012229961110279,
-0.0070638651959598064,
0.014698348939418793,
0.011599299497902393,
0.016931632533669472,
-0.007629564497619867,
-0.01250441838055849,
0.03378455713391304,
0.05958045646548271,
-0.024694012477993965,
-0.03695247694849968,
-0.007388527505099773,
0.02457595430314541,
0.02748807705938816,
0.01758095622062683,
0.028609637171030045,
0.023513423278927803,
-0.018653325736522675,
0.030695347115397453,
0.027074869722127914,
-0.008933133445680141,
-0.04045489430427551,
0.028648991137742996,
0.010330164805054665,
-0.0071720858104527,
0.057691510766744614,
-0.012711022049188614,
-0.042422544211149216,
0.02595330961048603,
-0.054425209760665894,
-0.0009155723382718861,
-0.009459479711949825,
-0.031777553260326385,
0.016528263688087463,
-0.014934467151761055,
-0.01049741543829441,
-0.04214707389473915,
-0.04419342800974846,
-0.015554276295006275,
0.013380022719502449,
-0.018987827003002167,
-0.033804234117269516,
0.02089644782245159,
0.027625812217593193,
-0.020424211397767067,
-0.01253393292427063,
0.0421077199280262,
-0.0023205976467579603,
0.04116324707865715,
-0.02125062420964241,
0.034453559666872025,
-0.009882524609565735,
-0.036873769015073776,
-0.016174087300896645,
-0.0160068366676569,
-0.005578288808465004,
-0.015967482700943947,
0.022765716537833214,
-0.019342003390192986,
0.009272553026676178,
0.007890278473496437,
0.02115224301815033,
-0.04659396409988403,
0.02591395564377308,
0.02233283221721649,
-0.01906653307378292,
-0.001338002271950245,
0.005007670260965824,
0.0021570369135588408,
-0.013104552403092384,
-0.028078371658921242,
0.01743338257074356,
0.04012039303779602,
-0.00013788924843538553,
-0.023769216611981392,
-0.043917957693338394,
-0.01873203180730343,
0.016911955550312996,
-0.0353783555328846,
-0.0028924462385475636,
0.044311486184597015,
0.011382858268916607,
0.01926329731941223,
-0.04553143307566643,
-0.04612172767519951,
0.0029957478400319815,
-0.0024435759987682104,
-0.04234383627772331,
0.02353309839963913,
-0.03374520689249039,
0.021309655159711838,
-0.006340753752738237,
-0.026760045439004898,
0.001052692998200655,
-0.005632399581372738,
0.05123761668801308,
-0.051985323429107666,
-0.027625812217593193,
0.04254060238599777,
0.033607468008995056,
0.009779222309589386,
0.009916958399116993,
0.011087710037827492,
0.018407369032502174,
0.0006121237529441714,
0.009026596322655678,
-0.012888110242784023,
0.04403601586818695,
0.002300921129062772,
0.04828614369034767,
-0.01253393292427063,
0.039313655346632004,
-0.013409538194537163,
0.0165381021797657,
-0.003499958198517561,
-0.006345672532916069,
-0.026622310280799866,
0.005229031201452017,
-0.008052609860897064,
0.013842420652508736,
0.006217775400727987,
-0.053520090878009796,
0.058675337582826614,
0.013153742998838425,
-0.057534098625183105,
-0.011186093091964722,
0.015337835066020489,
0.009902200661599636,
0.01446223072707653,
-0.02066032961010933,
-0.02095547690987587,
0.0013810446253046393,
-0.011943638324737549,
0.013468567281961441,
0.022923126816749573,
0.024930130690336227,
-0.0017942512640729547,
-0.04789261147379875,
0.02199833281338215,
0.001115411869250238,
0.09421110153198242,
-0.0194108709692955,
0.0026022177189588547,
0.015869101509451866,
-0.030183758586645126,
0.03470935299992561,
0.042422544211149216,
-0.05147373676300049,
0.010153076611459255,
0.013714523985981941,
0.048719026148319244,
-0.004176338203251362,
-0.022982157766819,
0.001349070342257619,
-0.006493246648460627,
-0.015859263017773628,
0.011058195494115353,
0.04139936715364456,
0.014383524656295776,
-0.01694147102534771,
-0.030400199815630913,
0.043367017060518265,
-0.01734483800828457,
0.0003412643854971975,
0.059265632182359695,
0.03085275925695896,
0.05336267873644829,
0.0526936799287796,
-0.011933799833059311,
-0.011156577616930008,
0.0029662330634891987,
0.010556444525718689,
-0.009090544655919075,
0.0306559931486845,
0.05202467739582062,
0.019735533744096756,
-0.03280073404312134,
-0.015190261416137218,
-0.03864465653896332,
0.013685008510947227,
-0.03205302730202675,
-0.014403201639652252,
-0.00911022163927555,
-0.008278889581561089,
0.036539267748594284,
-0.023316657170653343,
-0.00028992100851610303,
-0.036185093224048615,
-0.009572619572281837,
-0.018436884507536888,
0.007132732775062323,
-0.004860096611082554,
0.02520560286939144,
-0.05206403136253357,
-0.042776722460985184,
0.06835617870092392,
-0.047971319407224655,
-0.06390928477048874,
-0.01739403046667576,
-0.021388361230492592,
-0.006630981806665659,
0.04096648097038269,
-0.010192429646849632,
-0.0014474528143182397,
0.008047690615057945,
-0.0027670084964483976,
0.010900783352553844,
0.013153742998838425,
-0.02170318365097046,
0.0006579331238754094,
-0.002190240891650319,
0.027507754042744637,
0.045492079108953476,
0.00020060810493305326,
-0.009065949358046055,
0.009179089218378067,
0.06198098883032799,
-0.0162527933716774,
0.015928130596876144,
0.03394196927547455,
-0.056983157992362976,
-0.03565382584929466,
0.008490411564707756,
0.008210021071135998,
-0.02575654350221157,
0.016921794041991234,
-0.018200766295194626,
0.0680413544178009,
-0.026523927226662636,
-0.018004002049565315,
0.01847623847424984,
-0.017049690708518028,
0.009503751993179321,
0.008918375708162785,
0.023592129349708557,
0.0008811384905129671,
-0.009400449693202972,
0.03285976126790047,
0.04008103907108307,
0.05973786860704422,
-0.012051858939230442,
-0.011796064674854279,
-0.00759021146222949,
-0.03453226387500763,
0.017000500112771988,
0.008760963566601276,
0.00574553944170475,
0.06355510652065277,
0.005976738408207893,
0.03884141892194748,
0.02089644782245159,
-0.06819876283407211,
-0.04616107791662216,
0.006404702086001635,
-0.029514756053686142,
0.012897948734462261,
0.0004233522922731936,
-0.02150641940534115,
0.05863598361611366,
0.002897365251556039,
-0.015869101509451866,
0.031128229573369026,
-0.013635817915201187,
-0.024753043428063393,
-0.022175420075654984,
0.024241453036665916,
-0.016577454283833504,
0.02768484130501747,
-0.040494244545698166,
0.054464563727378845,
-0.017413705587387085,
0.014157244935631752,
-0.0033548439387232065,
0.015839586034417152,
-0.022116390988230705,
-0.03264332190155983,
-0.0016245413571596146,
-0.04037618637084961,
0.01867300271987915,
-0.026956811547279358,
0.010871268808841705,
-0.020424211397767067,
0.04462631046772003,
-0.0383298322558403,
-0.016410205513238907,
-0.009700516238808632,
0.03728697448968887,
-0.04171418771147728,
-0.004171418957412243,
-0.04690878838300705,
0.022077038884162903,
0.04439019411802292,
-0.04864031821489334,
-0.024851424619555473,
0.0045723277144134045,
0.0039500584825873375,
-0.037326328456401825,
0.026464898139238358,
0.03862497955560684,
0.004296856466680765,
0.05863598361611366,
-0.016282306984066963,
0.02878672629594803,
-0.005563531536608934,
-0.02174253761768341,
0.0006182726356200874,
0.014511422254145145,
-0.005942304152995348,
0.03884141892194748,
-0.042422544211149216,
0.011589461006224155,
-0.023985659703612328,
-0.051001500338315964,
0.0354570597410202,
0.0011024990817531943,
0.01803351566195488,
-0.03372552990913391,
0.018810737878084183,
-0.021683508530259132,
0.004129606299102306,
0.07504618912935257,
-0.017895780503749847,
-0.0011141820577904582,
-0.022057361900806427,
0.0016651242040097713,
0.016852926462888718,
-0.009916958399116993,
0.022273803129792213,
0.028609637171030045,
-0.018259795382618904,
-0.0016700433334335685,
-0.005076538305729628,
0.02304118685424328,
0.012583124451339245,
-0.01080240122973919,
-0.005243788473308086,
0.035496413707733154,
-0.019804401323199272,
-0.022018007934093475,
-0.07052059471607208,
-0.014088377356529236,
-0.007693513296544552,
-0.02813740074634552,
-0.015534600242972374,
0.010959813371300697,
-0.01777772232890129,
-0.009405368939042091,
0.013389861211180687,
0.01773836836218834,
0.048168081790208817,
0.002059884136542678,
-0.026956811547279358,
0.05167049914598465,
0.015023010782897472,
0.07063864916563034,
-0.0036549107171595097,
0.005420877132564783,
-0.02941637486219406,
-0.024359513074159622,
0.008426463231444359,
0.0021435092203319073,
0.0015728905564174056,
0.0053224945440888405,
-0.018850091844797134,
0.025185925886034966,
-0.02738969400525093,
-0.026032015681266785,
0.009592295624315739,
0.001917229383252561,
-0.013822744600474834,
0.0440753698348999,
-0.007560696918517351,
0.02372986450791359,
-0.022568950429558754,
-0.022509921342134476,
0.0025800815783441067,
-0.02674037031829357,
0.01067450363188982,
0.0316004678606987,
0.0660737007856369,
-0.014865598641335964,
0.006719526369124651,
-0.02650425210595131,
-0.013901450671255589,
-0.033410705626010895,
0.005942304152995348,
-0.026464898139238358,
0.010743371210992336,
0.061587460339069366,
-0.04466566443443298,
-0.024300482124090195,
0.02872769720852375,
-0.0037803484592586756,
-0.004296856466680765,
0.02941637486219406,
-0.01191412378102541,
0.025048190727829933,
-0.004112389404326677,
0.013035683892667294,
-0.03156111389398575,
-0.03705085813999176,
0.011264799162745476,
0.020148741081357002,
-0.0021029263734817505,
-0.00273011508397758,
0.04057295247912407,
0.011294313706457615,
-0.009872686117887497,
0.013714523985981941,
0.02878672629594803,
-0.021034182980656624,
-0.005140486638993025,
0.010615474544465542,
-0.027468400076031685,
-0.03649991750717163,
0.0179744865745306,
-0.04073036462068558,
0.012583124451339245,
0.02467433735728264,
-0.028963815420866013,
0.02520560286939144,
-0.025028513744473457,
0.03779856488108635,
0.01767933927476406,
0.0034901199396699667,
0.012976654805243015,
-0.021329330280423164,
-0.02174253761768341,
0.008495330810546875,
-0.012888110242784023,
0.043563779443502426,
-0.001405640272423625,
0.03411905840039253,
0.004183716606348753,
-0.028963815420866013,
-0.0286883432418108,
-0.006429297849535942,
0.00464611453935504,
0.0011965774465352297,
-0.03101017139852047,
0.0017794938758015633,
0.018958311527967453,
-0.012160079553723335,
0.03671635687351227,
0.04155677556991577,
-0.009764465503394604,
-0.01560346782207489,
-0.014235951006412506,
-0.010094046592712402,
0.018594296649098396,
-0.04387860372662544,
-0.00674904091283679,
0.004867475479841232,
-0.006399782840162516,
-0.019056694582104683,
-0.012897948734462261,
0.04690878838300705,
-0.002042667008936405,
0.02784225344657898,
-0.036086708307266235,
-0.018308987841010094,
-0.0707567110657692,
0.0382511243224144,
-0.04533466696739197,
-0.05954110249876976,
-0.004227988887578249,
0.024202100932598114,
-0.005696347914636135,
0.018269633874297142,
0.008879022672772408,
-0.0016183925326913595,
0.0029662330634891987,
0.02333633415400982,
-0.031049523502588272,
-0.03626379743218422,
-0.04879773035645485,
0.03254493698477745,
0.021860595792531967,
-0.06150875240564346,
0.06721493601799011,
0.011245122179389,
-0.005553693510591984,
-0.008883941918611526,
0.0050150491297245026,
-0.011058195494115353,
-0.02180156670510769,
-0.024694012477993965,
-0.019824078306555748,
-0.008657662197947502,
0.032918792217969894,
-0.0239266287535429,
-0.02650425210595131,
-0.008347757160663605,
0.01520993746817112,
-0.020424211397767067,
0.03907753899693489,
0.014845922589302063,
-0.04923061281442642,
-0.023060863837599754,
-0.028078371658921242,
0.010585959069430828,
0.0359489731490612,
0.012770051136612892,
0.026523927226662636,
-0.0034901199396699667,
-0.02823578380048275,
0.05320526659488678,
-0.0045674084685742855,
0.012661830522119999,
-0.007954226806759834,
0.0030055860988795757,
0.00908562634140253,
-0.012838918715715408,
-0.004338669124990702,
-0.019824078306555748,
0.007393446750938892,
-0.02011922560632229,
0.014206436462700367,
-0.05088344216346741,
0.024792395532131195,
-0.049309320747852325
] |
Prediction of binding sites for transcription factors is important to
understand how they regulate gene expression and how this regulation can be
modulated for therapeutic purposes. Although in the past few years there are
significant works addressing this issue, there is still space for improvement.
In this regard, a transformer based capsule network viz. DNABERT-Cap is
proposed in this work to predict transcription factor binding sites mining
ChIP-seq datasets. DNABERT-Cap is a bidirectional encoder pre-trained with
large number of genomic DNA sequences, empowered with a capsule layer
responsible for the final prediction. The proposed model builds a predictor for
transcription factor binding sites using the joint optimisation of features
encompassing both bidirectional encoder and capsule layer, along with
convolutional and bidirectional long-short term memory layers. To evaluate the
efficiency of the proposed approach, we use a benchmark ChIP-seq datasets of
five cell lines viz. A549, GM12878, Hep-G2, H1-hESC and Hela, available in the
ENCODE repository. The results show that the average area under the receiver
operating characteristic curve score exceeds 0.91 for all such five cell lines.
DNABERT-Cap is also compared with existing state-of-the-art deep learning based
predictors viz. DeepARC, DeepTF, CNN-Zeng and DeepBind, and is seen to
outperform them. | [
0.009779325686395168,
-0.009053651243448257,
-0.013528643175959587,
0.009286903776228428,
0.029735371470451355,
0.028612304478883743,
0.01793452352285385,
0.0188848115503788,
-0.04091421142220497,
0.034538645297288895,
0.04008486866950989,
-0.03548893332481384,
-0.035661712288856506,
-0.06562169641256332,
-0.025415880605578423,
0.032378900796175,
-0.005835631396621466,
-0.05169565975666046,
0.0006894986145198345,
-0.057466499507427216,
-0.01440981961786747,
-0.09730947762727737,
0.014116094447672367,
-0.008841997012495995,
0.06444679200649261,
0.03291451558470726,
0.016120336949825287,
-0.005451196804642677,
-0.036145493388175964,
0.04326401650905609,
0.026970896869897842,
0.042953010648489,
0.029959984123706818,
-0.02278963103890419,
-0.04709972068667412,
-0.046926941722631454,
-0.028007574379444122,
0.04139799624681473,
-0.054840248078107834,
0.004539784509688616,
0.002468588761985302,
0.013433614745736122,
-0.008090405724942684,
-0.009036373347043991,
0.02104455605149269,
-0.011852681636810303,
-0.0215283390134573,
-0.02551954798400402,
0.006185510195791721,
0.006863669957965612,
0.017148377373814583,
-0.04523370414972305,
-0.039808422327041626,
-0.043160345405340195,
-0.03949742019176483,
0.10228552669286728,
-0.02843952365219593,
0.05971263349056244,
0.05207577347755432,
0.02849135734140873,
0.00031802247394807637,
-0.0030689977575093508,
-0.0029977262020111084,
-0.03970475494861603,
-0.01351136527955532,
-0.02486298605799675,
-0.02330796979367733,
-0.012466048821806908,
0.007343133445829153,
0.004742800258100033,
-0.05159199237823486,
0.017208850011229515,
-0.09226430952548981,
-0.0006236264016479254,
-0.0061379955150187016,
-0.00032099211239255965,
0.015256439335644245,
0.08086086064577103,
0.024845708161592484,
0.02420642413198948,
0.057466499507427216,
0.020889054983854294,
-0.026538947597146034,
0.056015148758888245,
0.04571748524904251,
-0.03918641433119774,
0.014349346980452538,
-0.07284388691186905,
-0.057950280606746674,
-0.036802057176828384,
-0.03842618688941002,
0.05598059296607971,
-0.028335856273770332,
0.007857153192162514,
-0.05221400037407875,
0.02218490280210972,
0.02453470416367054,
0.02792118489742279,
-0.026729006320238113,
-0.02278963103890419,
-0.021960288286209106,
0.0048335096798837185,
-0.020094268023967743,
-0.003233138471841812,
-0.006734085269272327,
-0.052006661891937256,
0.022634129971265793,
0.04036131873726845,
0.014478931203484535,
0.13290207087993622,
-0.007749165408313274,
-0.04298756644129753,
0.04931130260229111,
0.009399211034178734,
-0.08127553015947342,
-0.01831463910639286,
-0.09710214287042618,
-0.0430566780269146,
-0.03249984607100487,
-0.00654402794316411,
0.03490148112177849,
0.018521973863244057,
0.025087598711252213,
0.005364806856960058,
-0.030201876536011696,
0.03296634927392006,
-0.001547457417473197,
-0.023463470861315727,
0.02961442619562149,
0.01967959851026535,
-0.019109424203634262,
0.027955740690231323,
0.02731645666062832,
-0.01702743023633957,
0.033450134098529816,
-0.012682023458182812,
0.047341614961624146,
-0.0257096067070961,
0.016336312517523766,
-0.02278963103890419,
0.007412245497107506,
-0.0008450002642348409,
-0.025260379537940025,
0.02251318283379078,
0.0014189525973051786,
0.02579599618911743,
-0.010755530558526516,
0.08113730698823929,
0.023394359275698662,
0.009045012295246124,
-0.048378292471170425,
-0.003362723160535097,
0.002904857276007533,
0.019886933267116547,
0.03059927001595497,
0.023083355277776718,
0.022806908935308456,
-0.00964974146336317,
-0.0016835213173180819,
0.0054598357528448105,
0.056498933583498,
-0.003561419667676091,
-0.004293573554605246,
-0.020474383607506752,
0.007792360614985228,
0.05933251976966858,
0.0037169214338064194,
-0.01050500012934208,
-0.07153075933456421,
0.04388602077960968,
0.047479838132858276,
-0.038495298475027084,
0.016681872308254242,
-0.012656106613576412,
-0.028422245755791664,
0.05573870241641998,
0.00815951731055975,
-0.01812458038330078,
0.006824794691056013,
-0.04333312809467316,
-0.07284388691186905,
0.029078809544444084,
0.007831236347556114,
-0.01438390277326107,
0.08010062575340271,
0.021113667637109756,
0.06603636592626572,
0.011360259726643562,
0.024638373404741287,
-0.03046104498207569,
-0.0037730748299509287,
-0.010150802321732044,
0.023014243692159653,
-0.016854651272296906,
-0.01047908328473568,
-0.02740284614264965,
0.00996074452996254,
0.00414239102974534,
0.005494391545653343,
-0.03484964743256569,
-0.013105333782732487,
-0.016604119911789894,
-0.00045219663297757506,
0.016310395672917366,
-0.0021597451996058226,
0.01812458038330078,
0.03541982173919678,
-0.05114276334643364,
0.03400302678346634,
-0.045648373663425446,
-0.015100938268005848,
-0.03051287867128849,
0.004820551257580519,
-0.01669915020465851,
0.04547559469938278,
0.015377385541796684,
-0.01120475772768259,
-0.010859198868274689,
-0.057604722678661346,
-0.0077578043565154076,
0.018988478928804398,
0.031618669629096985,
0.08521490544080734,
-0.008552590385079384,
0.024240979924798012,
-0.005801075603812933,
0.006867989432066679,
0.005131554324179888,
-0.022547738626599312,
-0.030391933396458626,
0.033778414130210876,
0.006505152210593224,
0.014012426137924194,
-0.02382630854845047,
-0.012189601548016071,
-0.019714154303073883,
0.06959562748670578,
-0.03498787060379982,
-0.01954137347638607,
0.030927550047636032,
0.0004913420416414738,
0.04886207357048988,
-0.013520004227757454,
-0.002475067973136902,
0.04561381787061691,
0.006837753113359213,
-0.037596844136714935,
0.07180720567703247,
0.02876780554652214,
0.007464079186320305,
-0.013407697901129723,
0.0007667095051147044,
0.08189753443002701,
0.06468869000673294,
0.014159289188683033,
-0.03794240206480026,
-0.020612606778740883,
-0.02448287047445774,
-0.005300014745444059,
-0.019696876406669617,
0.03725128248333931,
0.011127007193863392,
0.016889207065105438,
0.02185662090778351,
-0.007351772394031286,
-0.02773112803697586,
0.03493603691458702,
0.023342525586485863,
-0.0162672009319067,
0.051350101828575134,
-0.0005701727350242436,
-0.04063776507973671,
0.005053803790360689,
0.0281976331025362,
-0.002857342828065157,
-0.00855690985918045,
0.02387814223766327,
0.016854651272296906,
0.02114822529256344,
0.030219154432415962,
0.017865411937236786,
-0.019886933267116547,
0.01353728212416172,
0.017623519524931908,
-0.021770231425762177,
-0.0002912956406362355,
-0.047859951853752136,
-0.021597450599074364,
0.030495600774884224,
-0.06690026819705963,
-0.006600181106477976,
0.03346741199493408,
-0.044335249811410904,
0.026729006320238113,
-0.012872081249952316,
-0.021200058981776237,
-0.024448314681649208,
-0.01402970403432846,
-0.003941535018384457,
-0.0214246716350317,
-0.058088503777980804,
-0.051211878657341,
-0.037320397794246674,
-0.0070580472238361835,
-0.007386328186839819,
0.029458923265337944,
-0.01793452352285385,
0.14133372902870178,
-0.057604722678661346,
0.03973931074142456,
0.011412093415856361,
0.008340936154127121,
-0.024223702028393745,
0.002971809357404709,
0.004958774894475937,
0.03780417889356613,
0.01822824962437153,
-0.04595937579870224,
-0.016794178634881973,
-0.021251892670989037,
-0.0016100900247693062,
-0.02579599618911743,
-0.06430856883525848,
0.05791572481393814,
0.001333642634563148,
0.04170899838209152,
0.0036089341156184673,
0.05663715675473213,
0.0757465809583664,
0.011498482897877693,
-0.004354046192020178,
-0.0240163654088974,
-0.025830551981925964,
-0.03201606124639511,
-0.03301818296313286,
0.022720519453287125,
-0.06759138405323029,
0.03514337167143822,
-0.007472718134522438,
-0.034348588436841965,
-0.021459227427840233,
0.03624916076660156,
-0.06831705570220947,
-0.03042648918926716,
-0.003565739141777158,
-0.022668685764074326,
0.009632463566958904,
0.022772353142499924,
-0.04882751777768135,
-0.033778414130210876,
0.0007731887744739652,
-0.010625946335494518,
0.022392237558960915,
-0.005062442738562822,
0.018712032586336136,
-0.03593815863132477,
-0.008703772909939289,
-0.058088503777980804,
0.03341557830572128,
0.02862958237528801,
0.0018703392706811428,
-0.05176477134227753,
-0.058226730674505234,
0.018020913004875183,
-0.06119854003190994,
-0.013433614745736122,
0.010254469700157642,
-0.014712183736264706,
-0.007783721666783094,
0.02491481974720955,
-0.012682023458182812,
0.047479838132858276,
0.0120081827044487,
0.03569626808166504,
0.02104455605149269,
-0.010098968632519245,
-0.02085449919104576,
0.01751985214650631,
0.004971733316779137,
0.07097786664962769,
-0.0411561019718647,
-0.03659472241997719,
0.000939489109441638,
0.039151858538389206,
-0.012794329784810543,
0.010816004127264023,
0.032655347138643265,
-0.0005604538600891829,
-0.056671712547540665,
0.04378235340118408,
-0.000155771616846323,
-0.03842618688941002,
-0.04385146498680115,
-0.07312033325433731,
0.005783797707408667,
-0.00806448794901371,
0.0256059393286705,
0.052006661891937256,
0.022288570180535316,
-0.03856441006064415,
0.010936949402093887,
0.022720519453287125,
-0.05466746911406517,
0.007282660808414221,
-0.006077522877603769,
-0.046408604830503464,
0.03165322542190552,
-0.048516515642404556,
0.03842618688941002,
0.04478447511792183,
0.0037255603820085526,
-0.017070624977350235,
0.0361800491809845,
-0.006142314989119768,
0.026020608842372894,
0.04132888466119766,
0.017476657405495644,
0.012967109680175781,
0.00341455708257854,
-0.00023338745813816786,
-0.012120489962399006,
0.021735675632953644,
0.047859951853752136,
-0.027800239622592926,
0.002468588761985302,
0.015386024489998817,
0.01358047779649496,
0.013442253693938255,
-0.004487950354814529,
0.005062442738562822,
-0.0027795920614153147,
0.04519914463162422,
-0.013545922003686428,
-0.021822065114974976,
-0.008371172472834587,
-0.050209756940603256,
0.025312213227152824,
-0.0446462519466877,
-0.04267656430602074,
0.003811950096860528,
-0.016992874443531036,
-0.01855652965605259,
0.014323430135846138,
-0.0411561019718647,
-0.04236556217074394,
-0.007671414874494076,
0.0037255603820085526,
-0.010142163373529911,
0.010893754661083221,
0.017295239493250847,
-0.0481363981962204,
-0.007943542674183846,
-0.0666583776473999,
-0.001800147583708167,
0.03398574888706207,
0.006025688722729683,
-0.03870263323187828,
0.004291413817554712,
0.025035765022039413,
-0.027385568246245384,
-0.05404546111822128,
0.03512609377503395,
0.004479311406612396,
-0.02914792113006115,
0.03801151365041733,
-0.002083074301481247,
-0.03476325795054436,
-0.06247710809111595,
-0.0051790690049529076,
0.05432191118597984,
0.04561381787061691,
0.030685659497976303,
0.013183084316551685,
0.015481052920222282,
-0.0007299938588403165,
0.027368290349841118,
-0.002375719603151083,
-0.039912089705467224,
0.045371927320957184,
0.03884085640311241,
0.0020852340385317802,
-0.037182170897722244,
0.042642008513212204,
0.04533737152814865,
0.023325247690081596,
-0.019645042717456818,
-0.05487480387091637,
-0.0020636364351958036,
-0.0188848115503788,
0.0067643215879797935,
0.0115848733112216,
-0.05546225607395172,
-0.045371927320957184,
-0.036041826009750366,
0.032240673899650574,
-0.022685963660478592,
-0.005490072071552277,
-0.016094420105218887,
0.07629947364330292,
-0.02161472849547863,
0.005667171441018581,
-0.03225795179605484,
0.06890451163053513,
-0.011438010260462761,
0.042261894792318344,
0.032603513449430466,
0.037735067307949066,
0.0462358258664608,
0.009511517360806465,
-0.004500908777117729,
-0.007356091868132353,
-0.02303152158856392,
-0.001715917489491403,
-0.03866807743906975,
-0.04765261709690094,
0.013502726331353188,
0.019835099577903748,
0.010228552855551243,
-0.03362291306257248,
-0.02543315850198269,
0.01648317463696003,
-0.02185662090778351,
-0.03372658044099808,
0.0256059393286705,
-0.04416246712207794,
-0.009356016293168068,
0.03160139173269272,
-0.00365428882651031,
0.054840248078107834,
0.012604272924363613,
0.02735101245343685,
0.02721278928220272,
0.007740526460111141,
-0.01438390277326107,
-0.02270324155688286,
0.006224385462701321,
0.0071876319125294685,
-0.00170727854128927,
-0.03365746885538101,
0.028076685965061188,
0.002269892254844308,
0.0634792298078537,
-0.012811608612537384,
-0.02123461477458477,
-0.02415459044277668,
-0.010047134011983871,
0.04557926207780838,
0.024517426267266273,
-0.010643224231898785,
-0.010496361181139946,
-0.05373445898294449,
-0.04181266576051712,
0.026521669700741768,
-0.004235260188579559,
0.015126855112612247,
-0.06541436165571213,
-0.0256577730178833,
-0.03234434500336647,
0.02608972042798996,
0.008189753629267216,
-0.03357107937335968,
0.029925428330898285,
-0.04457714036107063,
-0.03042648918926716,
0.005852909293025732,
0.008345255628228188,
0.008267504163086414,
0.012699301354587078,
0.04112154617905617,
-0.00013457912427838892,
0.0050149280577898026,
-0.023204302415251732,
-0.005762199871242046,
0.03177417069673538,
-0.01259563397616148,
-0.0008833357715047896,
0.05494391545653343,
-0.028474079445004463,
-0.022046677768230438,
0.007982417941093445,
0.044058799743652344,
-0.047859951853752136,
0.03555804491043091,
-0.018401028588414192,
0.03949742019176483,
-0.014513486996293068,
-0.012941192835569382,
-0.0739496722817421,
-0.003332486841827631,
0.00262625003233552,
-0.05725916475057602,
0.009779325686395168,
-0.01306213904172182,
-0.028975140303373337,
-0.026452558115124702,
-0.028854195028543472,
-0.016846012324094772,
0.0702521875500679,
-0.020025156438350677,
-0.06793694198131561,
0.015869807451963425,
-0.0016036108136177063,
0.020837221294641495,
0.019645042717456818,
-0.02180478721857071,
-0.015783417969942093,
0.027195511385798454,
0.018729310482740402,
0.011533038690686226,
0.05249044671654701,
0.03842618688941002,
0.017372990027070045,
0.054460134357213974,
-0.025398602709174156,
0.02218490280210972,
0.05325067788362503,
-0.0045181866735219955,
0.0007218947866931558,
-0.019040312618017197,
-0.046166710555553436,
0.013571838848292828,
0.011031977832317352,
0.10131796449422836,
0.029078809544444084,
0.029873594641685486,
0.0035398222971707582,
-0.001650045276619494,
-0.033035460859537125,
-0.0037018032744526863,
-0.019109424203634262,
-0.015567443333566189,
0.014418458566069603,
-0.007507273927330971,
-0.038633521646261215,
-0.007235146127641201,
-0.0308411605656147,
-0.012189601548016071,
-0.015092299319803715,
0.024033643305301666,
-0.012725218199193478,
-0.037182170897722244,
0.01016808021813631,
-0.010202636010944843,
-0.006198468618094921,
-0.011930432170629501,
-0.011904515326023102,
-0.0009351696353405714,
0.006673612631857395,
0.05812305957078934,
0.04008486866950989,
0.021200058981776237,
0.001231054775416851,
-0.006099120248109102,
0.008055849000811577,
0.01547241397202015,
-0.07788904756307602,
0.046304937452077866,
0.03749317675828934,
0.04986419528722763,
-0.01572294533252716,
0.02175295352935791,
0.0025787358172237873,
-0.011127007193863392,
0.010980144143104553,
0.01822824962437153,
-0.018763866275548935,
-0.014573960565030575,
0.002559297950938344,
0.01518732775002718,
0.01774446666240692,
-0.006811836268752813,
-0.045130033046007156,
-0.022167624905705452,
0.018832977861166,
0.024120034649968147,
-0.007934903725981712,
0.07083964347839355,
0.04661593958735466,
-0.05618793144822121,
-0.03187783807516098,
-0.010003939270973206,
-0.027800239622592926,
-0.005373445805162191,
0.015982113778591156,
0.018331917002797127,
-0.020698998123407364,
0.0036931640934199095,
0.012742496095597744,
-0.02368808537721634,
0.05183388292789459,
0.01050500012934208,
0.004937177523970604,
0.01285480335354805,
-0.024361925199627876,
-0.011152924038469791,
0.013727339915931225,
0.003103553783148527,
-0.011368898674845695,
0.012025460600852966,
-0.013787812553346157,
0.0281976331025362,
0.020560773089528084,
-0.0445425845682621,
-0.013813730329275131,
-0.018193693831562996,
0.00920915324240923,
0.025415880605578423,
-0.028474079445004463,
0.008660578168928623,
-0.017485296353697777,
0.023048799484968185,
0.02085449919104576,
0.022236736491322517,
-0.023463470861315727,
0.020042434334754944,
0.007489996030926704,
0.030357377603650093,
0.032707180827856064,
0.02481115236878395,
0.012673384509980679,
0.017511213198304176,
0.01793452352285385,
-0.03108305297791958,
-0.036698389798402786,
-0.0163708683103323,
0.037838734686374664,
0.01304486021399498,
-0.010790086351335049,
-0.028284022584557533,
0.0008374411845579743,
0.05207577347755432,
-0.024050921201705933,
-0.028214910998940468,
0.006358289625495672,
0.022668685764074326,
-0.034590478986501694,
0.009373294189572334,
0.03749317675828934,
-0.026867229491472244,
0.030305543914437294,
-0.01637950725853443,
-0.012448770925402641,
-0.025260379537940025,
0.016586842015385628,
0.0005426359712146223,
0.04374779760837555,
-0.06510335952043533,
0.04450802877545357,
-0.016802817583084106,
-0.012198240496218204,
0.01907486841082573,
-0.04450802877545357,
0.0463394932448864,
-0.05985085666179657,
-0.05418368801474571,
0.041501663625240326,
0.0026240902952849865,
0.014815852046012878,
-0.021908454596996307,
0.01024583075195551,
-0.02783479541540146,
0.04651227220892906,
-0.016491813585162163,
0.001340121845714748,
0.014841768890619278,
-0.006077522877603769,
-0.01850469596683979,
0.00869081448763609,
0.039531975984573364,
-0.028249466791749,
0.02066444233059883,
0.005593739915639162,
0.05805394798517227,
-0.03904819115996361,
-0.003269854234531522,
0.0141506502404809,
0.029700815677642822,
0.017070624977350235,
0.02161472849547863,
0.013969231396913528,
0.024171868339180946,
-0.024517426267266273,
0.01981782168149948,
-0.00806448794901371,
-0.027558347210288048,
-0.012422854080796242,
0.014807213097810745,
-0.024742040783166885,
-0.009381933137774467,
0.0029221351724117994,
-0.014418458566069603,
0.0034728702157735825,
0.0427456758916378,
0.02166656404733658,
0.023895420134067535,
0.013209001161158085,
0.005265458486974239,
0.02557138167321682,
-0.05259411409497261,
-0.0231179129332304,
-0.010677780024707317,
0.017105180770158768,
-0.0073906476609408855,
0.03683661296963692,
0.016966957598924637,
-0.054356466978788376,
-0.013174445368349552,
-0.023204302415251732,
0.013701423071324825,
-0.03728584200143814,
-0.028042130172252655,
-0.02076810970902443,
0.013286751694977283,
0.00038281481829471886,
0.007658456452190876,
-0.03721672669053078,
-0.06216610595583916,
0.046304937452077866,
0.018401028588414192,
-0.006578583735972643,
0.022063955664634705,
0.015118216164410114,
0.011213396675884724,
0.008505076169967651,
-0.013502726331353188,
-0.057466499507427216,
0.023463470861315727,
-0.031013939529657364,
0.015247800387442112,
-0.004665049724280834,
0.029631704092025757,
-0.03611093759536743,
0.004924219101667404,
-0.0016630038153380156,
-0.041225213557481766,
0.04530281573534012,
-0.003954493440687656,
0.04129432886838913,
0.0037536369636654854,
0.02674628421664238,
-0.0037406785413622856,
0.00654402794316411,
-0.060058191418647766,
-0.0163190346211195,
-0.04191633313894272,
0.03690572455525398,
0.004036563448607922,
-0.00649651326239109,
0.0074468012899160385,
0.012431493028998375,
0.019005756825208664,
0.043436795473098755,
0.02259957231581211,
0.05546225607395172,
-0.025778718292713165,
-0.00628485856577754,
0.06382478773593903,
-0.0016241283155977726,
0.035523489117622375,
0.020802665501832962,
0.01973143219947815,
-0.01730387844145298,
-0.012060017324984074,
-0.00708828354254365,
0.009528795257210732,
-0.038391631096601486,
0.013494087383151054,
-0.0015614957083016634,
0.010885115712881088,
-0.026590783149003983,
-0.04202000051736832,
-0.01256971713155508,
-0.011161562986671925,
0.04958774894475937,
0.03160139173269272,
-0.009494239464402199,
0.03075477108359337,
-0.018280083313584328,
-0.016517730429768562,
-0.013977870345115662,
0.017761744558811188,
-0.019282205030322075,
0.04243467375636101,
0.016422701999545097,
0.05698271468281746,
0.0018465820467099547,
0.009330099448561668,
-0.00045300653437152505,
-0.061336763203144073,
-0.07388056069612503,
-0.016120336949825287,
0.007839875295758247,
0.040326762944459915,
-0.011247952468693256,
0.02472476288676262,
0.014504848048090935,
0.033743858337402344,
-0.0014837449416518211,
-0.04440436139702797,
0.03583449125289917,
0.0022893298882991076,
-0.07007940858602524,
-0.053147006779909134,
-0.016871929168701172,
0.03343285620212555,
-0.044715363532304764,
0.020042434334754944,
-0.019990600645542145,
0.02735101245343685,
-0.005386404227465391,
0.02513943426311016,
-0.013900119811296463,
0.007710290141403675,
0.01874658837914467,
0.019748710095882416,
0.017424823716282845,
-0.021130947396159172,
-0.03828796371817589,
0.026711728423833847,
-0.042400117963552475,
0.05843406543135643,
0.0029134962242096663,
-0.002421074314042926,
0.02862958237528801,
0.014919519424438477,
0.0265562254935503,
-0.0031143524684011936,
0.009381933137774467,
-0.005304334219545126,
0.0027450360357761383,
0.003757956437766552,
0.016396785154938698,
0.02735101245343685,
0.004716883413493633,
0.007053727749735117,
-0.021787509322166443,
-0.024050921201705933,
0.009399211034178734,
0.009494239464402199,
0.024085476994514465,
0.024690207093954086,
0.06289178133010864,
-0.001643566065467894,
-0.021459227427840233,
0.02273779734969139,
-0.04896574094891548,
0.002809828380122781,
0.02876780554652214,
-0.02543315850198269,
0.021925732493400574,
0.019092146307229996,
-0.02546771429479122,
0.04879296198487282,
-0.00025538986665196717,
0.0011619428405538201,
0.018988478928804398,
-0.021217336878180504,
0.032413456588983536,
-0.006785919424146414,
-0.020940888673067093,
-0.009260986931622028,
-0.0033281673677265644,
-0.017010152339935303,
-0.009554712101817131,
0.030858438462018967,
-0.0215283390134573,
-0.0029610106721520424,
-0.01779630035161972,
-0.0033886402379721403,
0.028923306614160538,
0.01363231148570776,
-0.03367474675178528,
0.004570020828396082,
0.05204121768474579,
-0.03465959057211876,
0.04260745272040367,
0.010081690736114979,
-0.008241587318480015,
0.04896574094891548,
-0.002980448305606842,
0.04595937579870224,
0.0033454452641308308,
0.000029089067538734525,
0.009053651243448257,
0.034918759018182755,
-0.04398968815803528,
0.01744210161268711,
-0.024966653436422348,
-0.028474079445004463,
-0.004163988865911961,
-0.047963619232177734,
-0.010021217167377472,
0.029458923265337944,
-0.04730705916881561,
0.01667323336005211,
-0.015221883542835712,
0.02133828215301037,
-0.026245223358273506,
0.020923610776662827,
0.0240681990981102,
0.0022202180698513985,
-0.010772808454930782,
0.013960592448711395,
0.030962105840444565,
0.002237495966255665,
0.06334100663661957,
0.007533191237598658,
0.019610485062003136,
0.0016100900247693062,
-0.01973143219947815,
0.059539854526519775,
0.020889054983854294,
-0.017623519524931908,
-0.03455592319369316,
0.008077447302639484,
0.04029220715165138,
-0.026435280218720436,
0.01719157211482525,
0.007822596468031406,
-0.0024189145769923925,
0.02420642413198948,
0.008790162391960621,
0.007541830185800791,
-0.028508635237812996
] |
Natural language serves as the primary mode of communication when an
intelligent agent with a physical presence engages with human beings. While a
plethora of research focuses on natural language understanding (NLU),
encompassing endeavors such as sentiment analysis, intent prediction, question
answering, and summarization, the scope of NLU directed at situations
necessitating tangible actions by an embodied agent remains limited. The
inherent ambiguity and incompleteness inherent in natural language present
challenges for intelligent agents striving to decipher human intention. To
tackle this predicament head-on, we introduce a novel system known as task and
argument grounding for Embodied agents (tagE). At its core, our system employs
an inventive neural network model designed to extract a series of tasks from
complex task instructions expressed in natural language. Our proposed model
adopts an encoder-decoder framework enriched with nested decoding to
effectively extract tasks and their corresponding arguments from these
intricate instructions. These extracted tasks are then mapped (or grounded) to
the robot's established collection of skills, while the arguments find
grounding in objects present within the environment. To facilitate the training
and evaluation of our system, we have curated a dataset featuring complex
instructions. The results of our experiments underscore the prowess of our
approach, as it outperforms robust baseline models. | [
0.0007458261679857969,
-0.014101166278123856,
-0.02143225073814392,
-0.04179954528808594,
0.004297860432416201,
0.050623469054698944,
-0.0071314056403934956,
0.015365801751613617,
-0.06142517179250717,
0.01709635555744171,
0.025140581652522087,
-0.032291002571582794,
0.006636961363255978,
0.028373485431075096,
-0.0008955856901593506,
0.03198673203587532,
0.0017436286434531212,
0.0021536843851208687,
-0.02898203209042549,
-0.026414725929498672,
0.02487434260547161,
-0.0010673337383195758,
0.020139088854193687,
0.02321985550224781,
0.0656089335680008,
-0.015422852709889412,
0.02388545498251915,
-0.000049288413720205426,
-0.054388850927352905,
0.036265574395656586,
-0.01461462676525116,
0.012817513197660446,
0.025159599259495735,
-0.0028858419973403215,
-0.05252517759799957,
0.0037558735348284245,
0.04065851867198944,
0.0678529441356659,
-0.048037149012088776,
0.0611209012567997,
0.0144434729591012,
-0.019235778599977493,
-0.04198971390724182,
-0.029020065441727638,
-0.03377433493733406,
-0.01753374934196472,
-0.013872960582375526,
-0.055491842329502106,
-0.04031621292233467,
-0.017923599109053612,
-0.0003206161200068891,
-0.0777418315410614,
0.06055038794875145,
0.0199869517236948,
-0.011067941784858704,
0.02209784835577011,
0.04522261768579483,
-0.024513017386198044,
0.02399955689907074,
0.08428370207548141,
0.043054673820734024,
0.003684559604153037,
-0.08953242003917694,
-0.0277649387717247,
0.020044004544615746,
-0.06481021642684937,
0.025596991181373596,
-0.008890485391020775,
0.03379335254430771,
-0.02900104969739914,
0.02968566305935383,
-0.031606387346982956,
-0.034934379160404205,
-0.07835037261247635,
0.00905213039368391,
-0.021698489785194397,
0.016972744837403297,
0.03288053348660469,
0.05621449276804924,
0.0003443874593358487,
0.021622421219944954,
0.01828492432832718,
0.04043031483888626,
0.019131183624267578,
0.09272728860378265,
-0.04868372902274132,
-0.0015106693608686328,
-0.07732345163822174,
-0.013026700355112553,
-0.028373485431075096,
-0.03940339386463165,
0.04621150717139244,
-0.038946982473134995,
-0.03120703063905239,
-0.010468902997672558,
0.043929457664489746,
-0.005148874595761299,
-0.002522140508517623,
-0.050585437566041946,
0.0031853611581027508,
-0.016088450327515602,
-0.007197965402156115,
-0.017191441729664803,
-0.04031621292233467,
0.004811321385204792,
-0.009294598363339901,
-0.00602366030216217,
0.015460886992514133,
-0.0047114817425608635,
0.13289137184619904,
-0.017819005995988846,
-0.050699539482593536,
-0.0021584387868642807,
0.004637790843844414,
-0.01628812961280346,
0.022402122616767883,
0.008234396576881409,
-0.09797600656747818,
0.044271767139434814,
0.0005440668319351971,
0.01734357886016369,
0.029704680666327477,
0.05362816900014877,
-0.05579611659049988,
-0.04685808718204498,
0.039175186306238174,
-0.008595720864832401,
-0.026814084500074387,
0.007877825759351254,
0.01888396218419075,
0.011571894399821758,
0.04233202338218689,
-0.0011439962545409799,
0.04647774621844292,
0.030826689675450325,
0.025387803092598915,
-0.03291856870055199,
-0.013273922726511955,
-0.064429871737957,
0.005258223041892052,
-0.04586920142173767,
-0.030046988278627396,
-0.04921620711684227,
-0.015422852709889412,
-0.0053437999449670315,
0.006185305770486593,
-0.01833246648311615,
0.06397346407175064,
-0.04967261478304863,
-0.0026600142009556293,
-0.05180253088474274,
0.01968267932534218,
-0.020063020288944244,
0.001429846859537065,
-0.02399955689907074,
-0.05020509660243988,
0.007763723377138376,
0.0015332521870732307,
-0.014110674150288105,
0.036817070096731186,
0.059713635593652725,
-0.044043559581041336,
-0.020747635513544083,
0.0029595333617180586,
0.059827737510204315,
0.00549593660980463,
0.022497206926345825,
0.028468571603298187,
-0.03525766730308533,
0.051840562373399734,
-0.017923599109053612,
0.041837580502033234,
-0.0023248381912708282,
-0.008781136944890022,
0.021166011691093445,
-0.0059713637456297874,
0.04400552809238434,
0.02968566305935383,
-0.03691215440630913,
0.027631819248199463,
-0.011543367989361286,
0.007730443496257067,
0.05123201757669449,
0.01821836456656456,
-0.032728396356105804,
0.05541577562689781,
0.025635026395320892,
-0.03885189816355705,
0.04533672332763672,
-0.0008611172088421881,
-0.03677903488278389,
0.03358416631817818,
-0.00830571074038744,
-0.040392279624938965,
0.021375199779868126,
-0.06131106987595558,
-0.024969426915049553,
-0.005353308282792568,
-0.04031621292233467,
-0.013121786527335644,
-0.035847198218107224,
-0.021280113607645035,
0.012960140593349934,
0.016877660527825356,
0.03769185394048691,
0.0366649329662323,
-0.0013514013262465596,
-0.009275581687688828,
-0.0027051798533648252,
-0.02031024359166622,
0.03913715481758118,
-0.03134014829993248,
-0.04119099676609039,
-0.017200950533151627,
0.0028192822355777025,
-0.014424456283450127,
0.019245285540819168,
-0.01405362319201231,
-0.017029795795679092,
0.0010227623861283064,
-0.032252971082925797,
0.02411365881562233,
0.045374754816293716,
0.009470506571233273,
-0.007407153025269508,
-0.014700204133987427,
0.021166011691093445,
-0.0327664315700531,
-0.02287754975259304,
0.007901596836745739,
-0.03641771152615547,
0.06302260607481003,
0.05275338515639305,
-0.03187263011932373,
0.011714521795511246,
-0.05290551856160164,
0.03428779914975166,
-0.014120182953774929,
-0.04130510240793228,
0.03231002017855644,
0.0064277732744812965,
0.03398352488875389,
-0.018180329352617264,
-0.019444964826107025,
0.09371617436408997,
0.022383105009794235,
0.011942727491259575,
0.009503786452114582,
-0.013483110815286636,
0.0031829839572310448,
-0.05708927661180496,
-0.01592680625617504,
0.024836307391524315,
0.009494277648627758,
0.02131814882159233,
0.10200762748718262,
0.059599533677101135,
-0.04043031483888626,
0.023828402161598206,
0.02042434550821781,
0.015194647945463657,
0.0477709099650383,
-0.008605229668319225,
0.028050195425748825,
-0.030617501586675644,
-0.012132897973060608,
0.019967935979366302,
-0.015299241989850998,
0.0388709157705307,
0.004041129723191261,
0.00189576530829072,
-0.004138592164963484,
-0.0544268861413002,
-0.008890485391020775,
-0.09729138761758804,
-0.008234396576881409,
0.023638231679797173,
0.00325192091986537,
0.01127712894231081,
0.014643152244389057,
0.0063707223162055016,
-0.07812216877937317,
0.026357674971222878,
0.05130808427929878,
-0.000790991703979671,
-0.013311957009136677,
0.005819227080792189,
-0.0023105754517018795,
-0.032500192523002625,
0.01450052484869957,
0.01210437249392271,
0.019188234582543373,
0.012456187978386879,
-0.007459450047463179,
0.04073458909988403,
0.004131461028009653,
-0.019150201231241226,
-0.03512454777956009,
0.01755276694893837,
-0.032937586307525635,
0.011115483939647675,
-0.012922107242047787,
0.045945268124341965,
0.03255724161863327,
-0.026243573054671288,
0.03424976393580437,
-0.007440432906150818,
0.0767149031162262,
-0.05206876993179321,
0.011258112266659737,
0.03647476062178612,
-0.003320857882499695,
-0.026376692578196526,
0.02377135120332241,
0.04807518050074577,
0.023847419768571854,
0.04210381954908371,
-0.012722427025437355,
-0.018142296001315117,
-0.01732456125319004,
-0.017124881967902184,
0.004430979955941439,
-0.09181446582078934,
0.0555298775434494,
0.035618994385004044,
0.0533619299530983,
0.030978824943304062,
0.005885786842554808,
0.029514510184526443,
-0.013264413923025131,
-0.051041845232248306,
0.041267067193984985,
0.000926488428376615,
0.019121674820780754,
-0.01833246648311615,
-0.003789153415709734,
-0.024018574506044388,
0.013036209158599377,
0.022497206926345825,
-0.040049973875284195,
-0.000369050248991698,
-0.013701806776225567,
0.008538669906556606,
0.002857316518202424,
0.008410303853452206,
-0.043511081486940384,
0.011391231790184975,
0.04419569671154022,
-0.024075625464320183,
0.011029907502233982,
0.001059607951901853,
-0.022249985486268997,
-0.028126263990998268,
-0.014291336759924889,
-0.002434186404570937,
-0.06572303175926208,
-0.0400119386613369,
-0.006912709213793278,
-0.039175186306238174,
0.017248492687940598,
0.009522803127765656,
-0.04708629474043846,
0.001963513670489192,
0.05967560037970543,
-0.08025208115577698,
-0.05788799747824669,
0.00419326638802886,
-0.03463010489940643,
-0.020405327901244164,
-0.042370058596134186,
0.020291225984692574,
0.06503842025995255,
0.04430979862809181,
-0.06100679561495781,
-0.00065668358001858,
0.012598816305398941,
0.013445076532661915,
-0.006717783864587545,
0.006489579100161791,
0.055377740412950516,
0.008995079435408115,
-0.03134014829993248,
-0.0305414330214262,
0.010583005845546722,
-0.013663772493600845,
0.06743457168340683,
0.006974514573812485,
-0.01702028699219227,
0.011324672028422356,
0.04035424813628197,
0.04792304337024689,
0.04244612529873848,
-0.06199568510055542,
-0.04579313099384308,
0.036836087703704834,
0.006404002197086811,
-0.0017222344176843762,
-0.018085245043039322,
0.036931172013282776,
0.03175852447748184,
-0.07013499736785889,
0.045945268124341965,
-0.004288351628929377,
0.00038985017454251647,
-0.008571949787437916,
-0.049406375735998154,
-0.00967018585652113,
-0.006703521125018597,
0.005533970892429352,
-0.0388709157705307,
-0.02612946927547455,
-0.02810724638402462,
0.02044336311519146,
-0.04853159189224243,
0.036836087703704834,
0.004609264899045229,
-0.010107578709721565,
-0.011543367989361286,
-0.02890596352517605,
-0.06572303175926208,
-0.03963159769773483,
0.057279448956251144,
0.02620553784072399,
0.013720824383199215,
-0.05324782803654671,
0.02476024068892002,
0.053932443261146545,
0.008177344687283039,
-0.030275193974375725,
-0.0566709041595459,
0.06188158318400383,
-0.032728396356105804,
0.09044523537158966,
-0.027860024943947792,
0.0035514398477971554,
-0.021489301696419716,
-0.0003384446317795664,
0.03645574674010277,
-0.03940339386463165,
-0.01377787534147501,
-0.0008516086963936687,
-0.05796406418085098,
-0.0069840229116380215,
-0.024075625464320183,
-0.024303829297423363,
-0.015508430078625679,
-0.006632206961512566,
0.02145126834511757,
0.04020211100578308,
-0.025844214484095573,
-0.03569506108760834,
0.027270494028925896,
-0.06762474030256271,
-0.012237492017447948,
0.04720039665699005,
-0.002515008905902505,
-0.007407153025269508,
-0.031834594905376434,
0.013597212731838226,
-0.07507943361997604,
0.007216982543468475,
0.03289955109357834,
0.008091768249869347,
-0.02166045643389225,
0.024703187867999077,
0.02188866026699543,
-0.011324672028422356,
-0.04480424523353577,
0.013987063430249691,
0.07964354008436203,
0.0006572778802365065,
-0.02879186160862446,
0.009522803127765656,
-0.03234805539250374,
-0.014414947479963303,
-0.01665896363556385,
-0.02622455544769764,
-0.032367072999477386,
0.026414725929498672,
0.013426059857010841,
0.0020621647126972675,
-0.01032627560198307,
0.009570346213877201,
-0.02890596352517605,
-0.010678091086447239,
-0.05579611659049988,
0.02432284690439701,
-0.06131106987595558,
-0.009270827285945415,
-0.030465364456176758,
0.023257890716195107,
-0.018551163375377655,
0.019625628367066383,
-0.015632040798664093,
0.01405362319201231,
-0.06020807847380638,
0.0007000663317739964,
-0.011258112266659737,
0.0054103597067296505,
0.03134014829993248,
-0.06241406127810478,
0.0053437999449670315,
0.025064513087272644,
0.030503397807478905,
0.02865874208509922,
0.030256176367402077,
0.02932433970272541,
0.07614439725875854,
0.02055746503174305,
-0.004816075786948204,
0.0019017080776393414,
-0.027384597808122635,
-0.013245397247374058,
0.010640056803822517,
0.012237492017447948,
0.03145425394177437,
0.008391287177801132,
-0.034725189208984375,
0.025482889264822006,
0.021698489785194397,
-0.011096467263996601,
0.009009342640638351,
0.005087069235742092,
0.02321985550224781,
-0.05210680142045021,
0.032956600189208984,
0.014985459856688976,
0.01851312816143036,
-0.010953838936984539,
-0.007478467188775539,
-0.012456187978386879,
0.02379036881029606,
-0.023029685020446777,
0.0060949744656682014,
0.0026481286622583866,
0.018208855763077736,
0.032595276832580566,
0.01039283536374569,
0.008010945282876492,
-0.020386310294270515,
0.011144009418785572,
0.04343501478433609,
-0.0033398750238120556,
0.019967935979366302,
-0.0511179156601429,
-0.015632040798664093,
0.0344209186732769,
-0.03244313970208168,
0.018988555297255516,
0.017581291496753693,
0.012950632721185684,
-0.009746254421770573,
-0.00814406480640173,
0.01722947508096695,
0.02922925353050232,
-0.01929282955825329,
-0.03067455254495144,
-0.000738100497983396,
0.008067997172474861,
-0.014044114388525486,
0.019815798848867416,
0.03512454777956009,
-0.01450052484869957,
0.008391287177801132,
-0.012541765347123146,
0.0008979628328233957,
0.01929282955825329,
0.030826689675450325,
0.02167947217822075,
0.005557741969823837,
0.007925368845462799,
-0.024474984034895897,
-0.022725412622094154,
-0.006451544817537069,
0.05644269660115242,
0.013245397247374058,
0.03413566201925278,
-0.016116976737976074,
-0.04411963000893593,
0.048721764236688614,
-0.014386422000825405,
-0.005262977443635464,
0.006204322911798954,
0.03364121541380882,
-0.003694067941978574,
-0.03278544917702675,
-0.03468715772032738,
-0.04320680722594261,
0.009674940258264542,
0.017362594604492188,
-0.005510199349373579,
0.005514953751116991,
-0.011676487512886524,
-0.01867477409541607,
-0.040506381541490555,
-0.01050693728029728,
-0.00043145002564415336,
-0.008391287177801132,
0.03601835295557976,
-0.08572900295257568,
-0.05119398236274719,
0.007459450047463179,
0.0333179272711277,
0.02512156404554844,
-0.011847641319036484,
-0.03655083104968071,
0.02032925933599472,
-0.006546630058437586,
-0.013188346289098263,
0.0488738976418972,
-0.03864270821213722,
-0.0013466470409184694,
0.01989186741411686,
-0.04898800328373909,
0.006955497432500124,
-0.0022559012286365032,
0.03755873441696167,
-0.035162582993507385,
-0.006499087437987328,
-0.024075625464320183,
-0.007977665401995182,
-0.03656984865665436,
0.027175409719347954,
0.02010105550289154,
-0.006713029928505421,
0.017819005995988846,
0.007953894324600697,
-0.049064069986343384,
0.011714521795511246,
-0.003898501629009843,
-0.02411365881562233,
0.03134014829993248,
-0.023391010239720345,
0.0009306484134867787,
-0.006337442435324192,
-0.021622421219944954,
0.010174138471484184,
0.06275636702775955,
0.04073458909988403,
0.014519541524350643,
0.0010857564629986882,
0.013083752244710922,
-0.03099784255027771,
0.042370058596134186,
-0.007944385521113873,
0.025292718783020973,
0.02833545207977295,
-0.01628812961280346,
0.013815909624099731,
0.024798274040222168,
0.011048924177885056,
0.023467078804969788,
0.026186520233750343,
0.03807219862937927,
0.0006305351271294057,
0.001963513670489192,
-0.012760461308062077,
-0.0377679243683815,
0.017086846753954887,
0.03443993255496025,
0.022706395015120506,
-0.02301066927611828,
0.02044336311519146,
-0.03563801199197769,
0.04598330333828926,
-0.02611045353114605,
0.0070553370751440525,
0.007378627546131611,
-0.011961744166910648,
0.04176151007413864,
0.01116302702575922,
-0.028582673519849777,
-0.0455268919467926,
-0.00016565660189371556,
-0.015052019618451595,
0.003936535678803921,
-0.0016402233159169555,
0.03744463250041008,
-0.020747635513544083,
-0.004637790843844414,
0.019530542194843292,
-0.01587926223874092,
-0.025596991181373596,
-0.017200950533151627,
-0.01987284980714321,
-0.013635247014462948,
-0.03676001727581024,
-0.025026479735970497,
-0.026699982583522797,
-0.013920503668487072,
-0.02409464120864868,
0.014557575806975365,
-0.030351262539625168,
-0.011714521795511246,
0.0009080656454898417,
0.03966963291168213,
-0.0054816738702356815,
-0.004255071748048067,
0.03733053058385849,
-0.004694841802120209,
-0.0422559529542923,
-0.0016342804301530123,
0.025844214484095573,
-0.03978373482823372,
0.027860024943947792,
0.0018577311420813203,
0.002192907268181443,
-0.030864723026752472,
0.023029685020446777,
-0.0010394023265689611,
0.001467880909331143,
0.011077449657022953,
0.04244612529873848,
0.062376026064157486,
0.022972634062170982,
0.042293988168239594,
0.02844955399632454,
-0.037920061498880386,
-0.0444239005446434,
0.05168842896819115,
-0.03373630344867706,
-0.022858532145619392,
0.036950189620256424,
-0.03326087445020676,
-0.02264934405684471,
0.0010703051229938865,
0.000524752598721534,
0.00641826493665576,
0.05073757469654083,
-0.015936315059661865,
0.04944441094994545,
-0.05157432332634926,
-0.04864569380879402,
0.01954955980181694,
0.019416440278291702,
-0.04480424523353577,
-0.0006976891891099513,
0.003451600205153227,
0.010915804654359818,
-0.042370058596134186,
0.024646136909723282,
-0.016573386266827583,
0.013701806776225567,
-0.0344589501619339,
-0.007801757659763098,
0.0544268861413002,
0.003786776214838028,
0.0533619299530983,
-0.014101166278123856,
-0.008153573609888554,
0.05518757179379463,
-0.030256176367402077,
0.03337497636675835,
0.004775664769113064,
-0.029134169220924377,
0.01915971003472805,
0.02320083975791931,
-0.01796163246035576,
0.022725412622094154,
0.007820774801075459,
0.041381169110536575,
0.020386310294270515,
-0.04024014249444008,
0.013996572233736515,
0.039821770042181015,
0.0030855215154588223,
-0.016411740332841873,
-0.001740062958560884,
-0.009161478839814663,
-0.010697108693420887,
0.031073911115527153,
0.016250096261501312,
0.052601248025894165,
-0.01810426078736782,
0.04640167951583862,
-0.023619215935468674,
0.01105843298137188,
0.014148708432912827,
-0.05644269660115242,
-0.056176457554101944,
-0.04267432913184166,
0.010202663950622082,
0.0033802862744778395,
0.02420874498784542,
-0.018855435773730278,
-0.00433114031329751,
0.007107634097337723,
-0.03944142535328865,
-0.004345403052866459,
0.016031399369239807,
-0.0013026701053604484,
0.0004822612972930074,
-0.01311227772384882,
0.04701022431254387,
0.04077262058854103,
-0.028601691126823425,
0.052943553775548935,
-0.00320913246832788,
-0.006760572548955679,
-0.019948918372392654,
0.031168995425105095,
-0.0024258664343506098,
-0.0076210955157876015,
0.009028359316289425,
0.003009453183040023,
-0.025254683569073677,
-0.0500149242579937,
0.044842276722192764,
-0.005766930058598518,
0.05975167080760002,
0.025920281186699867,
0.023809386417269707,
-0.040164075791835785,
0.05180253088474274,
0.018845926970243454,
0.031264081597328186,
-0.016078941524028778,
-0.00018749653827399015,
0.012760461308062077,
-0.0566328689455986,
-0.050471335649490356,
-0.01956857740879059,
0.021470284089446068,
0.024075625464320183,
-0.054388850927352905,
0.021089943125844002,
0.04058245196938515,
0.026909170672297478,
0.04290253669023514,
-0.012180441059172153,
-0.011695505119860172,
0.01161943655461073,
-0.030275193974375725,
-0.024075625464320183,
-0.031188013032078743,
0.024474984034895897,
0.011904693208634853,
0.001294350135140121,
0.019910885021090508,
0.061843547970056534,
-0.04902603477239609,
0.016392724588513374,
0.02131814882159233,
-0.040506381541490555,
-0.031168995425105095,
-0.0005509010516107082,
-0.00813455693423748,
-0.022744428366422653,
-0.036170490086078644,
-0.012304051779210567,
-0.010630548931658268,
0.062490127980709076,
0.03757775202393532,
0.008842943236231804,
-0.05130808427929878,
0.031149979680776596,
-0.013245397247374058,
0.0733298659324646,
0.030389295890927315,
-0.004804190248250961,
0.017238983884453773,
-0.00009255969780497253,
0.023505112156271935,
-0.01573663391172886,
0.015755651518702507,
-0.01516612246632576,
-0.006437282077968121,
-0.02900104969739914,
-0.031397201120853424,
-0.0068651665933430195,
-0.010972855612635612,
-0.011866658926010132,
-0.0433209128677845,
0.04267432913184166,
0.0025910772383213043,
0.04252219572663307,
-0.023961521685123444,
-0.04084869101643562,
-0.0028050194960087538,
-0.01938791386783123,
0.019416440278291702,
0.007906351238489151,
0.04202774912118912,
-0.02820233255624771,
0.023828402161598206,
-0.01592680625617504,
0.010193155147135258,
-0.0355239063501358,
0.01182862464338541,
-0.057926028966903687,
0.015641549602150917,
-0.025501906871795654,
-0.04701022431254387,
-0.025863230228424072,
0.024379897862672806,
-0.014709712006151676,
-0.01155287679284811,
0.022706395015120506,
-0.01888396218419075,
0.038281384855508804,
0.031625404953956604,
-0.03540980443358421,
-0.02890596352517605,
0.002495991997420788,
0.003144949907436967,
-0.027061305940151215,
-0.02099485695362091,
-0.0063707223162055016,
-0.0013086128747090697,
0.024798274040222168,
-0.03959356248378754,
-0.0233149416744709,
-0.0022190557792782784,
-0.008747857064008713,
-0.02597733400762081,
-0.030161090195178986,
-0.0018458454869687557,
-0.01826590672135353,
0.03457305207848549,
0.03388844057917595,
0.06306064128875732,
0.001114876358769834,
0.013758858665823936,
-0.016582895070314407,
-0.028734810650348663,
0.013863452710211277,
0.00026207914925180376,
0.0040292441844940186,
0.019853832200169563,
0.022307036444544792,
-0.04290253669023514,
0.00032388465479016304,
-0.02245917357504368,
0.06423970311880112,
-0.014652661047875881,
-0.0069174631498754025,
-0.005182154476642609,
-0.004069655202329159,
-0.023828402161598206,
-0.020481396466493607,
-0.03558095917105675,
0.010145612992346287,
0.020614515990018845,
-0.015033002942800522,
0.015004477463662624,
0.011067941784858704,
0.01750522293150425,
-0.008519652299582958,
-0.019929900765419006,
0.03432583063840866,
0.010839736089110374,
0.0266619473695755,
-0.013711315579712391,
-0.01987284980714321,
-0.004171872045844793,
0.04974868521094322,
-0.002006302122026682,
-0.04864569380879402,
0.0006608435651287436,
0.04488031193614006,
0.025711093097925186,
0.028373485431075096,
-0.021850626915693283,
-0.02177455835044384,
-0.00111725355964154,
0.010478411801159382,
-0.03322284296154976,
-0.023143788799643517,
-0.01677306555211544,
0.017353085801005363,
-0.00037142736255191267,
-0.02122306264936924,
-0.019948918372392654,
-0.014072639867663383,
0.015708109363913536,
-0.011429266072809696,
0.009099673479795456,
-0.005724141374230385,
-0.02244015596807003,
-0.009061639197170734,
0.029628612101078033,
-0.08861959725618362,
0.022630326449871063,
-0.0144434729591012,
-0.006389739457517862,
-0.01311227772384882,
0.0008771628490649164,
-0.019140692427754402,
-0.0621858574450016,
0.015470395796000957,
-0.02388545498251915,
0.00223450711928308,
-0.014177233912050724,
0.014510032720863819,
-0.05073757469654083,
0.034268781542778015,
0.033279892057180405,
0.001059607951901853,
0.008039470762014389,
-0.009974459186196327,
-0.04898800328373909,
-0.030522415414452553,
-0.024265795946121216,
0.0632888451218605,
-0.0002414277842035517,
0.06450594216585159,
0.05796406418085098,
0.01255127415060997,
-0.043282877653837204,
0.055035434663295746,
0.006698766723275185,
0.005700370296835899,
0.007839791476726532,
0.0023236495908349752,
-0.03468715772032738,
0.0003530045796651393,
0.003829564666375518,
-0.018028192222118378,
-0.04119099676609039,
-0.027384597808122635,
0.0047827959060668945,
-0.009632151573896408,
-0.010402343235909939,
-0.03512454777956009
] |
Artificial Intelligence (AI) systems have made remarkable progress, attaining
super-human performance across various domains. This presents us with an
opportunity to further human knowledge and improve human expert performance by
leveraging the hidden knowledge encoded within these highly performant AI
systems. Yet, this knowledge is often hard to extract, and may be hard to
understand or learn from. Here, we show that this is possible by proposing a
new method that allows us to extract new chess concepts in AlphaZero, an AI
system that mastered the game of chess via self-play without human supervision.
Our analysis indicates that AlphaZero may encode knowledge that extends beyond
the existing human knowledge, but knowledge that is ultimately not beyond human
grasp, and can be successfully learned from. In a human study, we show that
these concepts are learnable by top human experts, as four top chess
grandmasters show improvements in solving the presented concept prototype
positions. This marks an important first milestone in advancing the frontier of
human knowledge by leveraging AI; a development that could bear profound
implications and help us shape how we interact with AI systems across many AI
applications. | [
0.019082708284258842,
0.014937400817871094,
-0.027962956577539444,
-0.04706353321671486,
0.00969322957098484,
-0.012382319197058678,
0.009063392877578735,
0.018198257312178612,
0.009148264303803444,
0.010050583630800247,
-0.010684886947274208,
-0.031054070219397545,
0.03657519072294235,
-0.0016226109582930803,
-0.033769961446523666,
0.0438116118311882,
0.018350131809711456,
0.022138085216283798,
-0.08862381428480148,
-0.06961257755756378,
-0.02058359608054161,
-0.008192342706024647,
-0.031179144978523254,
-0.024264343082904816,
0.016706302762031555,
0.002832031110301614,
-0.000783387164119631,
0.00002598145692900289,
-0.08154820650815964,
0.0483500100672245,
0.03242988511919975,
0.007808187045156956,
-0.014151222072541714,
-0.022799190133810043,
-0.026033245027065277,
0.006602116860449314,
-0.0035601400304585695,
0.04170322045683861,
-0.011801619082689285,
0.037343502044677734,
0.013758132234215736,
-0.03209039568901062,
0.007388295605778694,
-0.07640230655670166,
0.016831377521157265,
0.013758132234215736,
-0.04359719902276993,
-0.007620575837790966,
-0.035896219313144684,
-0.04706353321671486,
0.019618740305304527,
-0.007884124293923378,
0.056104592978954315,
-0.03611063212156296,
-0.023245884105563164,
0.02655140869319439,
0.05110163614153862,
-0.05807004123926163,
0.06307299435138702,
-0.018600279465317726,
0.031625837087631226,
0.014669385738670826,
-0.03795100376009941,
0.008759642019867897,
-0.006343035027384758,
-0.08555056899785995,
-0.002546147909015417,
0.019529400393366814,
0.006619984284043312,
0.00632516760379076,
-0.02058359608054161,
0.01994035765528679,
-0.0320725291967392,
0.01710832677781582,
0.016813509166240692,
-0.010300731286406517,
0.07968996465206146,
0.029928404837846756,
-0.04538396745920181,
0.009818303398787975,
-0.003526638261973858,
0.05982107296586037,
0.015875454992055893,
0.02019050531089306,
0.048993244767189026,
-0.05010104179382324,
-0.03525298088788986,
-0.07725995033979416,
-0.0025885836221277714,
-0.010220326483249664,
-0.05013677850365639,
0.05103016272187233,
0.0010586614953354,
0.0007342509925365448,
-0.03837982937693596,
0.03173304349184036,
-0.03650372102856636,
-0.02070866897702217,
-0.0438116118311882,
-0.00008103283471427858,
0.03201892599463463,
-0.010622350499033928,
0.05803430452942848,
-0.01274860743433237,
0.00467240484431386,
-0.017001120373606682,
-0.028713401407003403,
-0.06596756726503372,
-0.02297786809504032,
0.10699181258678436,
-0.03301951661705971,
0.04677765071392059,
-0.013472248800098896,
0.021191097795963287,
-0.04227498918771744,
0.005923144053667784,
-0.030982598662376404,
-0.0303929653018713,
0.03543165698647499,
-0.03298378363251686,
0.02360323816537857,
0.045348234474658966,
0.06761139631271362,
-0.013570521958172321,
-0.0326978974044323,
0.04499087855219841,
-0.02864192984998226,
-0.037843797355890274,
0.03293018043041229,
0.022995736449956894,
0.013892140239477158,
0.025568684563040733,
-0.036914676427841187,
0.05621179938316345,
0.041059985756874084,
0.05849886313080788,
0.08697998523712158,
0.006986272521317005,
-0.013427579775452614,
0.0015946925850585103,
0.0018481906736269593,
0.0038862256333231926,
-0.004221245180815458,
0.007432965096086264,
0.007700980640947819,
0.009148264303803444,
0.04688485711812973,
0.03310885652899742,
-0.04613441228866577,
0.007763517554849386,
-0.03745070844888687,
0.035771142691373825,
-0.06071446090936661,
0.000261454755673185,
0.018457338213920593,
0.0011792684672400355,
-0.008643502369523048,
0.00858989916741848,
-0.025139860808849335,
0.05667635798454285,
0.018528809770941734,
-0.04474073275923729,
-0.026015378534793854,
0.07039875537157059,
0.06010695919394493,
0.0035668404307216406,
0.030446568503975868,
0.0273018516600132,
-0.06260843575000763,
0.04752809554338455,
0.01324890274554491,
-0.003814755007624626,
-0.04202483966946602,
0.04166748747229576,
-0.008295081555843353,
-0.0024836109951138496,
0.006226894911378622,
-0.03787953406572342,
-0.027730677276849747,
-0.016393618658185005,
-0.04034527763724327,
-0.012766474857926369,
0.025372140109539032,
0.015303689055144787,
0.053888995200395584,
0.007741183042526245,
0.08490733057260513,
-0.003309992142021656,
0.013481182977557182,
-0.03628930822014809,
-0.002148591447621584,
0.01843947172164917,
0.032126132398843765,
-0.04334704950451851,
0.0016348949866369367,
-0.05724812671542168,
0.0008235895074903965,
-0.008009198121726513,
-0.01192669291049242,
0.019475797191262245,
-0.024532359093427658,
-0.05939225107431412,
0.010014848783612251,
-0.010300731286406517,
0.03543165698647499,
-0.0009905408369377255,
-0.03216186910867691,
-0.0011491167824715376,
0.013552653603255749,
-0.02983906678855419,
-0.00799579732120037,
0.005610459018498659,
-0.07625935971736908,
-0.031036201864480972,
-0.0347348190844059,
-0.026533540338277817,
-0.02247757278382778,
0.03291231021285057,
-0.036342911422252655,
-0.03071458451449871,
-0.00204585213214159,
-0.003379229689016938,
0.036593057215213776,
-0.019583003595471382,
0.007910925894975662,
-0.012150038965046406,
0.016652701422572136,
-0.008464825339615345,
0.038165416568517685,
-0.01730487123131752,
-0.009952311404049397,
0.03026789054274559,
0.02642633579671383,
0.01775156520307064,
0.03823688626289368,
-0.053710319101810455,
0.060571517795324326,
0.03578901290893555,
0.0027114241383969784,
-0.013865338638424873,
0.004306116607040167,
-0.03209039568901062,
0.0005957762477919459,
0.02165565825998783,
0.04952927678823471,
-0.02849898859858513,
0.015026739798486233,
0.07050596177577972,
0.019922491163015366,
0.04752809554338455,
0.03568180650472641,
0.004491494037210941,
-0.020672934129834175,
0.038487035781145096,
-0.03305525332689285,
0.03752217814326286,
0.020869478583335876,
-0.007745649665594101,
-0.029035020619630814,
0.005967813078314066,
0.00214747479185462,
-0.023138677701354027,
0.0649312362074852,
0.04109571874141693,
-0.056283269077539444,
0.008567564189434052,
0.04173895716667175,
-0.0016940817004069686,
-0.026194054633378983,
0.014499641954898834,
-0.04281102120876312,
-0.013865338638424873,
0.009148264303803444,
-0.030946863815188408,
-0.01793917454779148,
-0.08090496808290482,
-0.027033837512135506,
0.007231953553855419,
0.00577573524788022,
0.004194443579763174,
0.022602645680308342,
-0.0160362645983696,
0.09462736546993256,
-0.015884390100836754,
-0.013356109149754047,
-0.08805204927921295,
-0.08376380056142807,
-0.014651517383754253,
-0.0488145686686039,
0.021476980298757553,
-0.003100046655163169,
0.020244108512997627,
-0.05946372076869011,
0.02372831106185913,
-0.0037834863178431988,
0.006276031024754047,
-0.02737332321703434,
0.0055211205035448074,
0.016071999445557594,
0.00489128427579999,
0.0136509258300066,
-0.04148881137371063,
-0.06360902637243271,
0.006450241431593895,
-0.02321014739573002,
0.06818316131830215,
0.011694412678480148,
0.09269765019416809,
0.008022598922252655,
0.007084544748067856,
0.03618210181593895,
-0.00278512854129076,
-0.02597964182496071,
-0.010684886947274208,
-0.025014786049723625,
0.054961059242486954,
0.06607477366924286,
0.003584708319976926,
-0.019993960857391357,
-0.021316170692443848,
-0.0015969261294230819,
-0.05274546518921852,
-0.0992729663848877,
0.03573540970683098,
0.02869553305208683,
0.04141733795404434,
0.024514490738511086,
0.015687843784689903,
-0.02346029505133629,
-0.014633649960160255,
-0.05556856095790863,
-0.011819486506283283,
0.010533011518418789,
0.03101833537220955,
0.010256062261760235,
0.005128031130880117,
0.02585456892848015,
-0.022763455286622047,
-0.033698491752147675,
-0.03550313040614128,
-0.008446956984698772,
0.01609880104660988,
-0.026283392682671547,
-0.046598974615335464,
-0.021816467866301537,
-0.022227425128221512,
-0.001966564217582345,
0.0031246147118508816,
-0.0014718521852046251,
0.013659860007464886,
0.0010050584096461535,
0.023817649111151695,
-0.012105369940400124,
-0.010211393237113953,
-0.024532359093427658,
-0.036021292209625244,
-0.03855850547552109,
0.001952046761289239,
0.0252291988581419,
0.055211205035448074,
0.03695041313767433,
-0.06646785885095596,
-0.011685478501021862,
0.0056506614200770855,
-0.066181980073452,
-0.04749235883355141,
-0.00978256855159998,
-0.005985680967569351,
-0.005556856282055378,
0.022995736449956894,
-0.010524078272283077,
0.032179735600948334,
-0.0012607899261638522,
0.036342911422252655,
-0.0289456807076931,
-0.016536559909582138,
-0.0009520136518403888,
-0.051816344261169434,
0.01299875508993864,
0.053460173308849335,
-0.019154179841279984,
0.01324890274554491,
0.05485385283827782,
0.04649176821112633,
0.012203642167150974,
0.06943389773368835,
0.03995218873023987,
0.005052093416452408,
-0.009934443980455399,
0.07075610756874084,
0.014347766526043415,
-0.019297121092677116,
-0.0021385408472269773,
-0.05285267159342766,
0.0648597702383995,
0.01063128374516964,
0.031804513186216354,
0.0013836303260177374,
0.01154253724962473,
-0.0008878015796653926,
-0.014714054763317108,
0.08204849809408188,
-0.04963648319244385,
-0.017787300050258636,
-0.026194054633378983,
0.05067281052470207,
-0.007102412637323141,
0.032126132398843765,
-0.009389478713274002,
0.030607378110289574,
-0.020404918119311333,
-0.022566910833120346,
-0.031929586082696915,
-0.0479569174349308,
0.013472248800098896,
0.022352498024702072,
0.013490117155015469,
-0.0049940235912799835,
0.036914676427841187,
-0.02524706721305847,
0.002684622537344694,
0.0533529669046402,
0.00492255249992013,
-0.039987921714782715,
-0.052888404577970505,
-0.014526443555951118,
0.03607489541172981,
0.0014182489831000566,
-0.027534132823348045,
-0.032251205295324326,
0.01673310436308384,
-0.009282272309064865,
0.0326978974044323,
0.04967221990227699,
-0.04291822761297226,
-0.06121475622057915,
0.03759365156292915,
-0.0024702101945877075,
-0.03934468701481819,
-0.04038101062178612,
-0.03695041313767433,
-0.02385338582098484,
-0.0028186303097754717,
-0.06114328280091286,
-0.0015701245283707976,
0.010175657458603382,
-0.019743813201785088,
0.0025930507108569145,
0.0040112994611263275,
-0.07547318190336227,
-0.08812351524829865,
-0.011953494511544704,
-0.03430599346756935,
-0.039166007190942764,
0.028230972588062286,
-0.013195299543440342,
0.0003004007739946246,
-0.0023027004208415747,
0.01969020999968052,
-0.021298304200172424,
0.01825186051428318,
0.06092887371778488,
0.05381752550601959,
-0.040309540927410126,
0.03509217128157616,
0.025890303775668144,
-0.020172638818621635,
-0.07468700408935547,
-0.0019319455605000257,
0.0186181478202343,
0.0434185229241848,
-0.040238071233034134,
-0.03459187597036362,
0.0011513502104207873,
-0.009532419964671135,
-0.0007046575774438679,
0.0075669726356863976,
0.012739673256874084,
0.009514552541077137,
-0.0202619768679142,
0.07397229969501495,
0.009791501797735691,
0.00016011137631721795,
-0.04749235883355141,
-0.01286474708467722,
0.0301964208483696,
0.06732551008462906,
-0.0049940235912799835,
0.015509167686104774,
-0.009970178827643394,
-0.04895751178264618,
-0.013141696341335773,
0.02587243542075157,
0.0002909085596911609,
-0.00046316441148519516,
0.008616700768470764,
-0.00833528395742178,
-0.02857046015560627,
0.00978256855159998,
0.023442428559064865,
-0.00006766695150872692,
-0.03341260552406311,
-0.02857046015560627,
0.02762347087264061,
0.0744725912809372,
0.025765229016542435,
-0.009711096994578838,
0.02063719928264618,
0.0035802412312477827,
0.015527035109698772,
0.002270315308123827,
-0.0326978974044323,
0.016152404248714447,
0.0035802412312477827,
0.009134863503277302,
0.012560996226966381,
0.03462761268019676,
0.007977929897606373,
0.042703814804553986,
0.019493665546178818,
-0.00015341099060606211,
0.0006851148209534585,
-0.012793276458978653,
0.0524953156709671,
-0.024996917694807053,
0.0661105066537857,
0.015750382095575333,
0.01207856833934784,
0.006293898914009333,
-0.01274860743433237,
-0.006664653774350882,
0.007392762694507837,
-0.05174487084150314,
-0.019529400393366814,
-0.01340077817440033,
0.0031357822008430958,
0.0843355655670166,
0.043204110115766525,
-0.004053735639899969,
-0.036164235323667526,
-0.031500764191150665,
0.02655140869319439,
0.028177369385957718,
0.05431782081723213,
-0.03153649717569351,
-0.00520843593403697,
0.06936243176460266,
-0.025372140109539032,
-0.006226894911378622,
0.05978533998131752,
0.03318032622337341,
-0.011748015880584717,
0.006695922464132309,
-0.001575708156451583,
0.015321556478738785,
-0.015357292257249355,
0.0009425214375369251,
-0.005878474563360214,
0.005659595597535372,
-0.009371611289680004,
0.0018861595308408141,
-0.014481774531304836,
-0.04041674733161926,
0.0334840789437294,
-0.004406622610986233,
-0.042560871690511703,
0.022817058488726616,
0.03988071531057358,
-0.01956513710319996,
0.030482303351163864,
-0.006343035027384758,
-0.01743887923657894,
-0.0024836109951138496,
-0.007030941545963287,
0.015553836710751057,
0.03164370357990265,
-0.0018548910738900304,
-0.0761164203286171,
0.02587243542075157,
-0.013481182977557182,
0.002930303569883108,
-0.04141733795404434,
-0.02422860637307167,
-0.01393680926412344,
0.003488669404760003,
-0.014874864369630814,
-0.023924855515360832,
-0.0026980233378708363,
-0.035896219313144684,
-0.02440728433430195,
-0.009702163748443127,
0.030124949291348457,
-0.013793868012726307,
0.01843947172164917,
-0.009916575625538826,
0.02497905120253563,
0.020940950140357018,
-0.013731330633163452,
0.0025238131638616323,
-0.06825462728738785,
0.04731368273496628,
-0.009728965349495411,
0.06310873478651047,
0.01227511279284954,
0.036021292209625244,
-0.010452606715261936,
-0.018671751022338867,
-0.006383237428963184,
-0.016652701422572136,
-0.015348358079791069,
0.009550288319587708,
0.0002339552593184635,
0.024067798629403114,
-0.054031938314437866,
0.03448466956615448,
-0.021101759746670723,
0.008965120650827885,
0.021494848653674126,
-0.014115486294031143,
-0.022066615521907806,
0.03543165698647499,
-0.0063564358279109,
0.02505052089691162,
0.009496685117483139,
0.026640746742486954,
0.012221509590744972,
0.00362714403308928,
-0.0020547860767692327,
0.0007225252920761704,
-0.020672934129834175,
0.015777183696627617,
-0.02994627319276333,
-0.03720055893063545,
0.019618740305304527,
0.026086848229169846,
-0.01598266139626503,
-0.01813572086393833,
0.041631750762462616,
0.053888995200395584,
-0.013793868012726307,
-0.013070225715637207,
0.015955859795212746,
-0.02649780549108982,
0.022316763177514076,
-0.010524078272283077,
0.04720647633075714,
0.04713500291109085,
-0.06979124993085861,
0.043382786214351654,
-0.016143471002578735,
0.045205291360616684,
0.013525852002203465,
0.015464498661458492,
0.05599738657474518,
-0.006736124400049448,
-0.03253709152340889,
0.03071458451449871,
-0.011819486506283283,
0.027355454862117767,
0.004413323011249304,
0.04273954778909683,
-0.019475797191262245,
0.031554367393255234,
0.011560404673218727,
0.046670444309711456,
-0.002046968787908554,
-0.0006287198630161583,
-0.008058334700763226,
0.002068186877295375,
0.014991004019975662,
-0.012185774743556976,
-0.03026789054274559,
-0.014865930192172527,
-0.0035534396301954985,
0.04516955837607384,
-0.00950561836361885,
0.012167906388640404,
0.027337588369846344,
-0.030375096946954727,
-0.018796825781464577,
-0.03007134608924389,
0.01813572086393833,
0.02731972001492977,
-0.026712218299508095,
-0.02203087881207466,
-0.02044065296649933,
-0.012033899314701557,
0.06067872419953346,
-0.013034489937126637,
-0.015437697060406208,
-0.007817120291292667,
0.02819523774087429,
0.013052358292043209,
-0.0025104123633354902,
-0.022513307631015778,
0.06357329338788986,
-0.061893727630376816,
0.00044892606092616916,
0.014669385738670826,
-0.05017251521348953,
-0.04331131651997566,
0.02272772043943405,
0.0119892293587327,
0.02095881663262844,
0.020547859370708466,
-0.004623268730938435,
0.021476980298757553,
0.038665711879730225,
0.000762169249355793,
0.002691322937607765,
0.02321014739573002,
0.04359719902276993,
0.00843802373856306,
0.002241280162706971,
0.05203075706958771,
0.01956513710319996,
0.04191763326525688,
-0.01566104218363762,
0.01246272400021553,
0.02819523774087429,
-0.011229852214455605,
-0.027212513610720634,
-0.0005901926197111607,
-0.013418645597994328,
-0.03587834909558296,
0.039666302502155304,
0.02567589096724987,
0.029731860384345055,
0.026587143540382385,
-0.012846879661083221,
0.039737775921821594,
-0.01265033520758152,
-0.017010055482387543,
0.030232155695557594,
-0.007388295605778694,
-0.0008682587649673223,
0.03938041999936104,
0.02295999974012375,
0.004900217987596989,
-0.02882060781121254,
-0.024085665121674538,
0.019583003595471382,
0.018743222579360008,
-0.03196532279253006,
-0.0018191556446254253,
-0.00445352541282773,
-0.03264429420232773,
0.010792093351483345,
-0.004000132437795401,
0.04549117386341095,
0.050887223333120346,
-0.006267097312957048,
0.04563411697745323,
-0.008576498366892338,
0.01843947172164917,
0.007053276523947716,
-0.015509167686104774,
0.00978256855159998,
-0.0013032256392762065,
0.01685817912220955,
0.021066023036837578,
0.020119035616517067,
-0.050815749913454056,
0.056033119559288025,
0.050386928021907806,
-0.000044424974475987256,
-0.025461478158831596,
0.04109571874141693,
0.025443611666560173,
0.02083374373614788,
0.015491299331188202,
-0.011569338850677013,
0.0363786444067955,
-0.026354864239692688,
0.004927019588649273,
-0.025568684563040733,
0.012882614508271217,
-0.005270972847938538,
-0.04184616357088089,
0.030535906553268433,
-0.03934468701481819,
0.006079486571252346,
-0.03970203921198845,
0.02372831106185913,
-0.01076529175043106,
0.008406754583120346,
0.011810552328824997,
-0.03242988511919975,
0.015401961281895638,
0.0582844503223896,
-0.032822974026203156,
-0.019332855939865112,
-0.01824292540550232,
0.014061883091926575,
0.03934468701481819,
0.02497905120253563,
-0.0069282022304832935,
-0.03468121588230133,
0.036914676427841187,
-0.04109571874141693,
0.01976168155670166,
-0.014615782536566257,
0.007303424179553986,
0.050065308809280396,
-0.03128635138273239,
-0.055782973766326904,
0.014356700703501701,
0.004860015586018562,
0.02310294099152088,
0.047349415719509125,
0.031875982880592346,
0.032322678714990616,
0.0025238131638616323,
0.03235841169953346,
0.016375750303268433,
-0.028105899691581726,
-0.061643581837415695,
0.01610773615539074,
-0.017340607941150665,
0.005154832731932402,
-0.06561020761728287,
-0.012909416109323502,
0.01154253724962473,
0.01252526044845581,
-0.06067872419953346,
0.022799190133810043,
0.021423377096652985,
-0.0026801556814461946,
0.025461478158831596,
-0.02944597601890564,
0.014070817269384861,
0.05857033655047417,
-0.022227425128221512,
0.049422070384025574,
-0.06682521104812622,
0.03487775847315788,
-0.017090458422899246,
-0.03226907551288605,
-0.028838474303483963,
0.03862997516989708,
-0.016715237870812416,
-0.01070275530219078,
-0.01123878639191389,
0.015643175691366196,
-0.03988071531057358,
0.0027181245386600494,
-0.043704405426979065,
-0.010533011518418789,
-0.018832560628652573,
0.013731330633163452,
0.025068389251828194,
-0.014642584137618542,
0.02063719928264618,
0.013418645597994328,
-0.007875191047787666,
0.030232155695557594,
0.015366225503385067,
0.02101241983473301,
0.019779548048973083,
-0.01963660679757595,
0.030625244602560997,
0.000007729876415396575,
-0.010238194838166237,
-0.04152454435825348,
0.0409170426428318,
-0.014740856364369392,
0.01274860743433237,
-0.016393618658185005,
-0.003301058430224657,
-0.0064055719412863255,
-0.04116719216108322,
0.014178023673593998,
-0.019547268748283386,
0.0347348190844059,
-0.012266179546713829,
0.029731860384345055,
0.025765229016542435,
0.000616994162555784,
-0.01441030390560627,
-0.024317946285009384,
0.02346029505133629,
0.019404327496886253,
0.018796825781464577,
0.02492544800043106,
-0.00011132417421322316,
0.019600871950387955,
0.0006560797919519246,
-0.03777232766151428,
0.00875070784240961,
0.00009617850446375087,
0.010238194838166237,
0.0006694805342704058,
0.004743875470012426,
-0.014937400817871094,
0.04952927678823471,
0.010425805114209652,
-0.011462132446467876,
0.009219735860824585,
0.004708140157163143,
-0.006959470920264721,
0.006508311256766319,
-0.008487159386277199,
0.012444856576621532,
-0.018091050907969475,
-0.021119626238942146,
-0.019243517890572548,
-0.007482101209461689,
-0.01886829547584057,
0.011426396667957306,
0.011399595066905022,
-0.020279845222830772,
-0.0009034358081407845,
0.004067136440426111,
-0.03537805378437042,
-0.004210077691823244,
-0.009568155743181705,
-0.049064718186855316,
-0.0289456807076931,
0.02422860637307167,
-0.007705447729676962,
0.05885621905326843,
0.033376872539520264,
0.015259020030498505,
0.016599098220467567,
-0.04409749433398247,
-0.008965120650827885,
0.00024372665211558342,
0.030875394120812416,
-0.010175657458603382,
-0.04463352635502815,
-0.03214399889111519,
0.025961775332689285,
0.019243517890572548,
0.047349415719509125,
0.04102424904704094,
-0.008692638017237186,
0.004181042779237032,
0.02472890354692936,
0.007276622578501701,
-0.01818932220339775,
-0.004178809467703104,
0.002852132311090827,
0.03355554863810539,
0.052709728479385376,
0.001038560294546187,
-0.017001120373606682,
0.0136509258300066,
0.06235828995704651,
0.041631750762462616,
0.03862997516989708,
-0.025622287765145302,
0.014928466640412807,
0.010488342493772507,
-0.009318008087575436,
-0.044704996049404144,
-0.006602116860449314,
0.003149183001369238,
-0.011819486506283283,
-0.011712280102074146,
0.04827853664755821,
0.03680747002363205,
0.06464535742998123,
-0.04935060068964958,
-0.00984510499984026,
0.008237011730670929,
0.017322739586234093,
0.008089602924883366,
-0.04663470759987831,
-0.027677074074745178,
0.008170007728040218,
0.031161276623606682,
0.016134537756443024,
-0.016545495018363,
0.009907642379403114,
0.03189385309815407,
-0.002778428141027689,
-0.027391191571950912,
-0.01836800016462803,
-0.034895624965429306,
-0.01494633499532938,
-0.007884124293923378,
-0.03593195229768753,
0.004359719809144735,
0.006664653774350882,
-0.03335900604724884,
-0.038344092667102814,
0.01944006234407425,
0.004587532952427864,
-0.03298378363251686,
0.05807004123926163,
0.01648295670747757,
0.05310281738638878,
0.014481774531304836,
0.001676214043982327,
-0.04223925247788429,
-0.0024121401365846395,
-0.03548526018857956,
-0.011194116435945034,
0.04574132338166237,
-0.029928404837846756,
-0.02415713667869568,
-0.006378770340234041,
0.031161276623606682,
0.010604482144117355,
-0.01868961937725544,
0.001298758783377707,
0.0653243288397789,
0.019154179841279984,
-0.03151863068342209,
0.03391290456056595,
-0.0016080933855846524,
0.039666302502155304,
0.02203087881207466,
0.014294163323938847,
-0.0016080933855846524,
0.06725403666496277,
-0.013365043327212334,
-0.0405239537358284,
-0.0438116118311882,
-0.01849307492375374,
0.018957633525133133,
-0.01762649044394493,
-0.023370957002043724,
-0.015562770888209343
] |
Biases with respect to socially-salient attributes of individuals have been
well documented in evaluation processes used in settings such as admissions and
hiring. We view such an evaluation process as a transformation of a
distribution of the true utility of an individual for a task to an observed
distribution and model it as a solution to a loss minimization problem subject
to an information constraint. Our model has two parameters that have been
identified as factors leading to biases: the resource-information trade-off
parameter in the information constraint and the risk-averseness parameter in
the loss function. We characterize the distributions that arise from our model
and study the effect of the parameters on the observed distribution. The
outputs of our model enrich the class of distributions that can be used to
capture variation across groups in the observed evaluations. We empirically
validate our model by fitting real-world datasets and use it to study the
effect of interventions in a downstream selection task. These results
contribute to an understanding of the emergence of bias in evaluation processes
and provide tools to guide the deployment of interventions to mitigate biases. | [
-0.01853305846452713,
-0.0405416339635849,
-0.02847740426659584,
-0.03075195662677288,
-0.01853305846452713,
0.0326261892914772,
0.0038007781840860844,
0.006614400073885918,
-0.03062458150088787,
-0.024201244115829468,
-0.01086326502263546,
-0.04643727466464043,
0.0033253964502364397,
-0.03952263295650482,
0.02998770773410797,
0.02141719125211239,
0.017950773239135742,
0.009771480225026608,
0.022909298539161682,
-0.010244586504995823,
-0.01771421916782856,
-0.048402488231658936,
-0.023073066025972366,
0.028950510546565056,
-0.0166679248213768,
0.01158202439546585,
-0.0008273686980828643,
-0.007228529546409845,
-0.029278047382831573,
0.009835167787969112,
0.06168587878346443,
0.017750611528754234,
-0.012000542134046555,
-0.05564466491341591,
-0.04363502562046051,
-0.016904478892683983,
0.05138670280575752,
0.015730809420347214,
-0.009880658239126205,
0.0929473340511322,
-0.03934067115187645,
-0.008761578239500523,
-0.02904149331152439,
0.02059835195541382,
0.018369290977716446,
-0.06416059285402298,
0.005217824596911669,
0.0033822604455053806,
0.015539746731519699,
-0.02880493924021721,
0.034136492758989334,
-0.020798513665795326,
0.06932837516069412,
0.029714761301875114,
-0.030406225472688675,
0.04443566873669624,
0.011472845450043678,
0.02354617230594158,
0.04043245688080788,
0.021671941503882408,
-0.01919722743332386,
0.02014344185590744,
-0.015548844821751118,
-0.0008830951992422342,
0.05557188019156456,
-0.005390690639615059,
-0.01950656622648239,
0.05156866833567619,
0.030424421653151512,
0.01493016630411148,
-0.06255930662155151,
-0.004003213252872229,
0.006209529936313629,
0.015758102759718895,
-0.05932034179568291,
0.016294898465275764,
0.048147737979888916,
-0.052514880895614624,
-0.013156014494597912,
-0.01868772879242897,
0.026239244267344475,
0.0072057838551700115,
-0.013601827435195446,
0.03484615311026573,
0.050986383110284805,
0.014220505952835083,
-0.021489977836608887,
-0.07686169445514679,
-0.03832167014479637,
-0.039813775569200516,
-0.046946775168180466,
-0.026111869141459465,
-0.010826872661709785,
-0.002251807600259781,
-0.034445829689502716,
0.015357782132923603,
0.03133424371480942,
-0.004521811380982399,
-0.03175276145339012,
-0.0060594091191887856,
0.022054066881537437,
0.010681301355361938,
0.007724381983280182,
-0.0440717414021492,
0.03730266913771629,
-0.08217505365610123,
-0.041451454162597656,
0.03977738320827484,
0.014775496907532215,
0.181381955742836,
-0.04043245688080788,
0.01329248771071434,
-0.021562762558460236,
0.012719300575554371,
-0.06157670170068741,
-0.011509238742291927,
-0.04450845345854759,
-0.10714054852724075,
0.03593793883919716,
-0.026093672960996628,
-0.013920264318585396,
0.03289913386106491,
0.019524764269590378,
-0.013756496831774712,
-0.04756545275449753,
0.07518762350082397,
-0.02891411818563938,
-0.008720636367797852,
0.023891905322670937,
-0.002884133253246546,
0.022072263062000275,
0.056481700390577316,
-0.03422747552394867,
-0.0514230951666832,
-0.021671941503882408,
-0.002003881148993969,
0.07045655697584152,
0.04232488200068474,
-0.029714761301875114,
-0.029514599591493607,
-0.020871298387646675,
-0.03113408200442791,
-0.0560813806951046,
0.013720104470849037,
-0.020762119442224503,
-0.0023814570158720016,
-0.04596416652202606,
0.013683711178600788,
-0.02747660130262375,
0.0008108781767077744,
-0.0025793432723730803,
0.052442096173763275,
-0.012264390476047993,
0.04876641929149628,
0.08501369506120682,
-0.009184645488858223,
0.00033009450999088585,
0.04552745446562767,
0.015430567786097527,
-0.02829544059932232,
0.05040409415960312,
-0.020379995927214622,
-0.02418304793536663,
0.03599252924323082,
0.013920264318585396,
0.027294635772705078,
-0.0250018872320652,
-0.043416667729616165,
-0.07904526591300964,
0.04425370320677757,
-0.030024100095033646,
-0.03626547381281853,
-0.048730023205280304,
0.010936050675809383,
-0.03952263295650482,
0.054589271545410156,
0.018260112032294273,
0.09658662229776382,
-0.05229652300477028,
-0.014038541354238987,
-0.02740381471812725,
-0.010062622837722301,
-0.020125245675444603,
-0.019906887784600258,
0.032244063913822174,
-0.026748744770884514,
0.09010869264602661,
-0.004624166525900364,
0.021435387432575226,
0.0370115265250206,
0.03974099084734917,
0.03284454718232155,
0.04305274039506912,
0.004223844967782497,
0.04811134561896324,
-0.047456275671720505,
-0.05684563145041466,
-0.06852773576974869,
0.03681136667728424,
0.018114540725946426,
0.02973295748233795,
-0.07398666441440582,
0.032171279191970825,
0.022909298539161682,
0.026985296979546547,
0.036210883408784866,
0.003405005903914571,
0.007351355627179146,
-0.013610925525426865,
-0.04425370320677757,
-0.0039213295094668865,
-0.03601072356104851,
0.009398452937602997,
0.020543763414025307,
-0.03784856200218201,
-0.007778971455991268,
0.04822052642703056,
0.025966297835111618,
0.001962939277291298,
-0.02103506587445736,
-0.012646514922380447,
0.07009262591600418,
0.06867330521345139,
-0.007537868805229664,
0.036847759038209915,
0.010089917108416557,
0.00465146079659462,
0.02663956582546234,
0.025165654718875885,
-0.0018628590041771531,
0.014748201705515385,
-0.03222586587071419,
0.002906878711655736,
-0.012664711102843285,
0.014047639444470406,
-0.016531450673937798,
-0.005395239684730768,
-0.025784334167838097,
-0.0027294636238366365,
-0.007105703931301832,
-0.03011508285999298,
-0.0476018451154232,
0.014084032736718655,
0.0018014459637925029,
0.06161309406161308,
-0.010826872661709785,
0.005909288767725229,
0.010262783616781235,
0.04749266803264618,
0.03988656401634216,
-0.07100244611501694,
-0.0038508183788508177,
0.0031820996664464474,
-0.01630399562418461,
0.007947288453578949,
0.039049528539180756,
-0.003639284987002611,
-0.03411829471588135,
0.011072523891925812,
-0.05451648682355881,
0.011845872737467289,
0.028313636779785156,
-0.009425748139619827,
0.04061441868543625,
0.004605969879776239,
-0.0344640277326107,
0.06565269827842712,
-0.01307413075119257,
-0.007924542762339115,
0.003848543856292963,
-0.012955854646861553,
-0.027385618537664413,
-0.013356175273656845,
-0.05033130943775177,
0.017905281856656075,
-0.02310945838689804,
0.004476320464164019,
-0.04807495325803757,
-0.020762119442224503,
-0.008843461982905865,
-0.00033009450999088585,
0.042397670447826385,
0.02507467195391655,
0.003939525689929724,
0.012209801003336906,
-0.06703563034534454,
0.07347716391086578,
-0.013483550399541855,
-0.035519421100616455,
-0.040141310542821884,
0.006009369157254696,
-0.05513516440987587,
-0.01329248771071434,
-0.021380798891186714,
0.02116244100034237,
-0.015903674066066742,
-0.035392045974731445,
-0.006509770639240742,
-0.041669812053442,
-0.0004571851750370115,
-0.004967623855918646,
-0.011263586580753326,
0.0013522218214347959,
0.028695762157440186,
-0.01537597831338644,
0.02545679733157158,
-0.00280224927701056,
0.05811937898397446,
-0.013474452309310436,
-0.06397862732410431,
0.018869692459702492,
0.031989313662052155,
0.009871560148894787,
-0.0488755963742733,
0.02139899507164955,
0.02323683351278305,
0.017141031101346016,
-0.0025679704267531633,
0.022017672657966614,
-0.008788873441517353,
-0.04268881306052208,
-0.015130327083170414,
-0.11674825847148895,
0.04982180893421173,
-0.024492386728525162,
-0.014757299795746803,
-0.028950510546565056,
0.12664711475372314,
-0.05662727355957031,
-0.006264118943363428,
-0.08683333545923233,
0.0079108951613307,
-0.033681582659482956,
-0.0110179353505373,
0.000010697507605073042,
-0.006787266116589308,
0.00862965453416109,
0.02108965627849102,
-0.03473697602748871,
-0.064124196767807,
-0.026039082556962967,
-0.013037738390266895,
-0.0716211274266243,
0.01067220326513052,
0.004758364986628294,
-0.011982345022261143,
-0.03233504667878151,
-0.020052459090948105,
-0.003204845357686281,
0.010617613792419434,
0.0010099015198647976,
-0.0067281280644237995,
-0.029350832104682922,
0.05651809275150299,
0.051495879888534546,
-0.011190800927579403,
0.021326210349798203,
-0.00590473972260952,
0.0029569189064204693,
0.007142096757888794,
0.025747939944267273,
-0.031352438032627106,
-0.013428960926830769,
0.01988869160413742,
-0.062486521899700165,
-0.053897809237241745,
-0.030024100095033646,
0.019997870549559593,
0.036156296730041504,
-0.042725205421447754,
-0.03433665260672569,
0.04028688371181488,
0.031225064769387245,
-0.028386421501636505,
-0.03309929743409157,
0.037229884415864944,
-0.028149869292974472,
-0.00829302053898573,
-0.023218637332320213,
0.036028921604156494,
0.012091523967683315,
-0.06699923425912857,
-0.04643727466464043,
0.03142522647976875,
0.005640891380608082,
-0.0310067068785429,
0.034191083163022995,
0.03264438360929489,
0.02305486984550953,
0.03379075974225998,
-0.006382395979017019,
-0.02039819210767746,
0.032990116626024246,
-0.06998344510793686,
0.025220245122909546,
0.004822052549570799,
0.008902600966393948,
-0.06459730863571167,
0.031916528940200806,
0.003500537248328328,
-0.026221048086881638,
-0.013974853791296482,
-0.011836773715913296,
0.0036506575997918844,
0.002354162512347102,
-0.01648596115410328,
0.0034368496853858232,
0.0072148824110627174,
0.04672841727733612,
0.005627244245260954,
0.029077885672450066,
0.013665514998137951,
-0.028331832960247993,
0.020853102207183838,
-0.013829282484948635,
0.012246193364262581,
-0.042288489639759064,
-0.009807872585952282,
0.05051327496767044,
-0.015603434294462204,
-0.005886543076485395,
0.02108965627849102,
0.04618252441287041,
0.02039819210767746,
-0.0063596502877771854,
-0.003741639666259289,
-0.03251701220870018,
-0.01919722743332386,
-0.008215685375034809,
-0.030642779543995857,
0.028186261653900146,
0.05786462873220444,
-0.029314439743757248,
-0.014520746655762196,
0.047274310141801834,
0.05928394943475723,
-0.007301315199583769,
0.03364519029855728,
-0.05349748954176903,
-0.016049247235059738,
0.012437256053090096,
-0.007797167636454105,
-0.011436453089118004,
0.009371158666908741,
-0.002240434754639864,
-0.037102509289979935,
-0.007187587674707174,
-0.06252291798591614,
-0.05659088119864464,
0.06124916300177574,
-0.061977021396160126,
-0.011500140652060509,
-0.07693447917699814,
-0.07092966139316559,
0.05899280682206154,
-0.013947559520602226,
0.0572095587849617,
-0.06547073274850845,
0.022254226729273796,
-0.04996738210320473,
-0.056918416172266006,
0.0197067279368639,
0.018141835927963257,
-0.011791283264756203,
0.012009640224277973,
0.018387487158179283,
-0.046764809638261795,
-0.0011452374747022986,
-0.0036597559228539467,
0.00998073909431696,
0.018614942207932472,
-0.0017297975718975067,
-0.015803594142198563,
0.005390690639615059,
0.05138670280575752,
0.04225209727883339,
-0.03197111934423447,
-0.049421489238739014,
-0.030606385320425034,
-0.0010701771825551987,
0.028331832960247993,
0.006009369157254696,
-0.008379453793168068,
-0.033554207533597946,
0.06787266582250595,
-0.03506451100111008,
0.02633022703230381,
0.04425370320677757,
-0.056554488837718964,
-0.030406225472688675,
-0.03213488683104515,
0.0004350082599557936,
-0.03535565361380577,
0.01569441519677639,
0.01032647117972374,
-0.019179031252861023,
0.03719349205493927,
-0.039377063512802124,
0.027494797483086586,
-0.005281512159854174,
0.01686808466911316,
-0.024601565673947334,
-0.021580958738923073,
-0.01707734353840351,
0.02292749471962452,
-0.04370781034231186,
-0.011827675625681877,
0.0019834102131426334,
-0.009744185023009777,
-0.007114802021533251,
0.07223980128765106,
0.0015796771040186286,
0.028659367933869362,
-0.015421469695866108,
-0.0009314295020885766,
0.003525557229295373,
0.033881742507219315,
0.013183309696614742,
0.03288093954324722,
-0.002645305125042796,
0.011008836328983307,
0.009180095978081226,
-0.01983410306274891,
0.0238009225577116,
-0.06561630964279175,
0.08050098270177841,
0.014120425097644329,
-0.0017889359733089805,
-0.010135408490896225,
0.027294635772705078,
0.0050267623737454414,
0.049603454768657684,
-0.04672841727733612,
-0.04545466974377632,
0.012773890048265457,
-0.018214620649814606,
0.006286864634603262,
0.025274833664298058,
-0.047274310141801834,
-0.012983148917555809,
-0.014902872033417225,
0.0203436017036438,
0.016431370750069618,
-0.0072148824110627174,
0.015994656831026077,
0.04880281165242195,
0.048730023205280304,
-0.02361895889043808,
-0.002645305125042796,
-0.010526631958782673,
-0.014538942836225033,
-0.04596416652202606,
-0.0006999936886131763,
-0.020634746178984642,
-0.011827675625681877,
-0.028259046375751495,
-0.010308274067938328,
0.018160032108426094,
0.007569712586700916,
0.02318224497139454,
-0.008975386619567871,
0.016986362636089325,
-0.0019868221133947372,
0.001025254838168621,
0.013683711178600788,
-0.004703775513917208,
0.02873215451836586,
0.06514319777488708,
-0.030715564265847206,
0.025311226025223732,
0.009771480225026608,
-0.006641694810241461,
-0.0463280975818634,
-0.016858987510204315,
0.006805462762713432,
0.039813775569200516,
-0.0178688894957304,
-0.0012999071041122079,
-0.03985016793012619,
-0.03515549376606941,
-0.022254226729273796,
-0.011154408566653728,
0.014093130826950073,
0.03000590391457081,
0.003293552901595831,
0.01170939952135086,
-0.007032917812466621,
-0.00555445859208703,
-0.01840568333864212,
-0.02354617230594158,
-0.007974582724273205,
0.05662727355957031,
0.024292226880788803,
0.018269211053848267,
-0.009616809897124767,
-0.018705924972891808,
0.0166679248213768,
0.02047097682952881,
0.04749266803264618,
-0.027112672105431557,
0.021326210349798203,
0.020179834216833115,
-0.001775288605131209,
0.043598633259534836,
-0.01414772029966116,
0.01592187210917473,
0.028641171753406525,
-0.0197067279368639,
-0.002911427989602089,
0.01758684404194355,
0.0346096009016037,
-0.020762119442224503,
0.045818597078323364,
-0.022254226729273796,
0.029441814869642258,
-0.005941132549196482,
-0.00776532432064414,
-0.02216324582695961,
0.0149392643943429,
-0.00603211484849453,
0.01613113097846508,
0.007647047284990549,
0.06707201898097992,
0.03977738320827484,
0.004164706449955702,
0.0010457257740199566,
-0.0014306938974186778,
-0.04465402662754059,
0.011800381354987621,
-0.014966558665037155,
-0.033426832407712936,
0.015430567786097527,
-0.00872973445802927,
0.02165374532341957,
0.029641974717378616,
0.0010298038832843304,
0.014893773011863232,
0.04643727466464043,
0.008161095902323723,
-0.027112672105431557,
0.02980574406683445,
0.04822052642703056,
-0.015494255349040031,
0.05349748954176903,
0.004367141984403133,
0.012510041706264019,
0.032244063913822174,
-0.03404550999403,
-0.0019038008758798242,
0.018523959442973137,
-0.012873969972133636,
0.039631813764572144,
0.04134227707982063,
0.031115885823965073,
0.012446354143321514,
-0.02975115366280079,
-0.006496123503893614,
0.03328125923871994,
-0.010435649193823338,
-0.013428960926830769,
0.013210603967308998,
-0.005308806896209717,
-0.002000469481572509,
-0.020762119442224503,
0.006446083541959524,
-0.004610518924891949,
0.012801184318959713,
0.04931230843067169,
-0.02456517331302166,
0.038612812757492065,
-0.012009640224277973,
0.025675155222415924,
-0.041014742106199265,
0.01159112248569727,
0.03952263295650482,
-0.01774151436984539,
-0.026930708438158035,
0.06081245094537735,
0.0012316704960539937,
-0.03359059989452362,
0.0023814570158720016,
-0.010826872661709785,
0.04086916893720627,
0.017141031101346016,
0.020489173009991646,
-0.019615745171904564,
0.007756225764751434,
0.07242176681756973,
-0.012537335976958275,
-0.020616548135876656,
-0.05316995084285736,
-0.02556597627699375,
0.03309929743409157,
-0.015567041002213955,
0.01664062961935997,
-0.036156296730041504,
-0.0226727444678545,
0.0025565975811332464,
-0.008247529156506062,
-0.0038917602505534887,
-0.020252620801329613,
-0.0075333197601139545,
-0.008570515550673008,
0.0382852777838707,
0.014984755776822567,
-0.012182505801320076,
0.013392568565905094,
0.0032730817329138517,
-0.010963345877826214,
-0.006764520891010761,
-0.011227194219827652,
0.00585924880579114,
-0.018669530749320984,
0.011864068917930126,
0.0268397256731987,
0.01983410306274891,
0.026293832808732986,
0.012537335976958275,
-0.011254488490521908,
-0.002865936839953065,
0.05684563145041466,
0.011754889972507954,
0.04683759808540344,
-0.06259570270776749,
0.0035392045974731445,
0.05455287918448448,
0.0029023296665400267,
-0.01894247718155384,
-0.022327013313770294,
-0.004003213252872229,
0.02594810165464878,
0.01965213753283024,
0.010817774571478367,
0.002176747191697359,
0.04552745446562767,
-0.02329142391681671,
0.00011472276673885062,
0.0110179353505373,
0.02247258462011814,
0.009953443892300129,
0.015703514218330383,
-0.05808298662304878,
0.0008387414272874594,
0.014748201705515385,
-0.020507371053099632,
0.0573551282286644,
0.0075333197601139545,
0.038430847227573395,
0.0019356446573510766,
-0.013110524043440819,
0.033372242003679276,
-0.05033130943775177,
0.04782020300626755,
0.00399411516264081,
-0.04159702733159065,
-0.03648383170366287,
-0.013055934570729733,
-0.006091252900660038,
-0.00469012837857008,
-0.04065081104636192,
-0.027622172608971596,
0.025802530348300934,
0.013383470475673676,
-0.00681910989806056,
0.040141310542821884,
-0.021253423765301704,
-0.0009058407740667462,
0.006850953679531813,
0.0031798251438885927,
-0.010999738238751888,
-0.004994918592274189,
-0.001977723790332675,
0.0036165392957627773,
-0.05498959496617317,
0.047274310141801834,
0.04469041898846626,
0.05626334249973297,
-0.016467764973640442,
0.010117212310433388,
0.055790238082408905,
0.01976131647825241,
0.04396256059408188,
-0.02663956582546234,
-0.0023245932534337044,
-0.017632335424423218,
-0.0030251555144786835,
0.021617352962493896,
-0.04552745446562767,
-0.02221783436834812,
0.004203374031931162,
-0.05448009446263313,
-0.03455501049757004,
-0.0020880396477878094,
0.006937386933714151,
-0.002715816255658865,
-0.04185177758336067,
0.009057270362973213,
0.012637416832149029,
-0.013483550399541855,
-0.010954247787594795,
0.02361895889043808,
-0.020561959594488144,
0.01594916544854641,
0.010581220500171185,
-0.025438601151108742,
-0.013856576755642891,
-0.008802520111203194,
0.011445551179349422,
0.03755741938948631,
-0.008147449232637882,
0.02405567280948162,
0.00843404233455658,
-0.013874773867428303,
-0.012573729269206524,
0.013256095349788666,
-0.026421207934617996,
-0.012964952737092972,
0.009716890752315521,
-0.018624041229486465,
-0.009284725412726402,
0.017859790474176407,
-0.0629960224032402,
0.014102228917181492,
-0.017850691452622414,
-0.044799596071243286,
0.028641171753406525,
-0.008902600966393948,
-0.025238441303372383,
0.05058605968952179,
-0.021708333864808083,
0.0018253287998959422,
0.05582663044333458,
-0.02318224497139454,
0.023855512961745262,
-0.01888788864016533,
-0.003532380796968937,
-0.02551138773560524,
0.021963084116578102,
0.011481943540275097,
0.023910101503133774,
0.010080819018185139,
-0.037666600197553635,
0.00858871266245842,
-0.0000780456030042842,
0.017313897609710693,
0.024601565673947334,
0.005941132549196482,
0.027676761150360107,
-0.02008885331451893,
0.012309880927205086,
0.006605301983654499,
0.06015738099813461,
-0.006218628026545048,
-0.02678513713181019,
-0.017777906730771065,
-0.023709941655397415,
0.011836773715913296,
-0.01727750524878502,
-0.06372387707233429,
0.017268406227231026,
0.0027226400561630726,
0.01170939952135086,
-0.014184112660586834,
0.0012657888000831008,
0.013510845601558685,
-0.010062622837722301,
0.002547499490901828,
-0.05764627084136009,
-0.002813622122630477,
-0.06714480370283127,
-0.0006164038786664605,
-0.005918386857956648,
-0.018796905875205994,
0.023782726377248764,
0.001394301070831716,
0.002273415680974722,
0.028823135420680046,
-0.01776880770921707,
-0.00062379619339481,
-0.017568647861480713,
0.009334765374660492,
0.03031524270772934,
-0.009662301279604435,
-0.02159915491938591,
0.0025725194718688726,
-0.017213817685842514,
-0.030024100095033646,
-0.030715564265847206,
-0.04822052642703056,
-0.01692267507314682,
0.010062622837722301,
0.0016661101253703237,
0.0013965755933895707,
-0.006487025413662195,
-0.007251275237649679,
-0.011600220575928688,
0.03806691989302635,
0.003998664207756519,
0.01228258665651083,
-0.021508174017071724,
0.010872364044189453,
-0.008747930638492107,
-0.0262028519064188,
-0.026439404115080833,
0.03300831466913223,
0.0030592738185077906,
-0.0006658753845840693,
-0.016021952033042908,
0.014511648565530777,
-0.003637010231614113,
0.014065835624933243,
-0.008197489194571972,
0.0013181035174056888,
0.016831692308187485,
0.035519421100616455,
0.004048704635351896,
0.0027453855145722628,
0.01919722743332386,
0.02354617230594158,
0.006568909157067537,
-0.005172333680093288,
0.015912773087620735,
0.00043330236803740263,
0.023073066025972366,
0.031024903059005737,
-0.010335569269955158,
0.02955099381506443,
0.04822052642703056,
-0.003500537248328328,
-0.022327013313770294,
-0.021762924268841743,
0.02103506587445736,
-0.019033459946513176,
-0.0008734283619560301,
0.015548844821751118,
0.016849888488650322,
-0.010062622837722301,
-0.005117744207382202,
-0.007251275237649679,
0.005659088026732206,
-0.017040951177477837,
0.0642697736620903,
0.03875838220119476,
-0.004162432160228491,
0.010035327635705471,
-0.008734283968806267,
0.04603695496916771,
-0.021890299394726753,
-0.026857921853661537,
0.03177095577120781,
-0.031170474365353584,
-0.010626711882650852,
-0.030133279040455818,
-0.00607760576531291,
-0.02967836894094944,
0.03648383170366287,
-0.03366338461637497,
0.014156818389892578,
-0.007751676719635725,
0.02461976185441017,
0.0429435633122921,
0.006259569898247719,
-0.04254323989152908,
-0.01753225550055504,
-0.03395452722907066,
-0.02589351125061512,
0.0005180294392630458,
-0.044362884014844894,
-0.019360994920134544,
-0.004667382687330246,
-0.04509073868393898,
-0.012209801003336906,
0.022527173161506653,
0.038103312253952026,
0.027258243411779404,
-0.013246997259557247,
0.05284241586923599,
-0.013083228841423988,
0.007101154420524836,
0.03202570602297783,
0.054334525018930435,
-0.014129523187875748,
0.03744824230670929,
-0.021708333864808083,
-0.019597548991441727,
-0.009653203189373016,
0.0440717414021492,
0.0074423374608159065,
-0.05102277547121048,
-0.010972443968057632,
0.01694997027516365,
0.01029917597770691,
0.028459208086133003,
-0.061030808836221695,
-0.009312020614743233,
0.01146374735981226,
0.009389354847371578,
0.012910363264381886,
-0.020416388288140297,
0.023255029693245888,
-0.007606105413287878,
0.016404077410697937,
0.03197111934423447,
0.05007655918598175,
0.03171636909246445,
0.016877183690667152,
0.061030808836221695,
-0.01623121090233326,
-0.01610383577644825,
0.022636352106928825,
0.037047918885946274,
-0.00560449855402112,
-0.011572926305234432,
0.023982888087630272,
-0.06969230622053146,
0.014384273439645767,
-0.016222111880779266,
0.0006158352480269969,
0.03440943732857704,
-0.06503402441740036,
0.02052556723356247,
-0.012446354143321514,
0.010335569269955158,
-0.003116137580946088
] |
Robot learning methods have recently made great strides, but generalization
and robustness challenges still hinder their widespread deployment. Failing to
detect and address potential failures renders state-of-the-art learning systems
not combat-ready for high-stakes tasks. Recent advances in interactive
imitation learning have presented a promising framework for human-robot
teaming, enabling the robots to operate safely and continually improve their
performances over long-term deployments. Nonetheless, existing methods
typically require constant human supervision and preemptive feedback, limiting
their practicality in realistic domains. This work aims to endow a robot with
the ability to monitor and detect errors during task execution. We introduce a
model-based runtime monitoring algorithm that learns from deployment data to
detect system anomalies and anticipate failures. Unlike prior work that cannot
foresee future failures or requires failure experiences for training, our
method learns a latent-space dynamics model and a failure classifier, enabling
our method to simulate future action outcomes and detect out-of-distribution
and high-risk states preemptively. We train our method within an interactive
imitation learning framework, where it continually updates the model from the
experiences of the human-robot team collected using trustworthy deployments.
Consequently, our method reduces the human workload needed over time while
ensuring reliable task execution. Our method outperforms the baselines across
system-level and unit-test metrics, with 23% and 40% higher success rates in
simulation and on physical hardware, respectively. More information at
https://ut-austin-rpl.github.io/sirius-runtime-monitor/ | [
-0.00450901547446847,
-0.019713133573532104,
-0.025447316467761993,
-0.03639347851276398,
0.031532980501651764,
-0.002039852552115917,
-0.028460022062063217,
0.030408237129449844,
-0.028299342840909958,
0.031111201271414757,
0.03581102192401886,
-0.0386027954518795,
0.029906120151281357,
-0.03518839552998543,
0.027857480570673943,
0.03159323334693909,
0.007556868717074394,
0.03117145597934723,
-0.02055669203400612,
-0.028861714527010918,
0.030006542801856995,
-0.013265945017337799,
-0.04780158773064613,
0.05001090466976166,
0.009249004535377026,
-0.0031884461641311646,
0.00791839323937893,
-0.0013293561059981585,
-0.07575949281454086,
0.008551061153411865,
0.003168361494317651,
-0.001314292661845684,
-0.0010895950254052877,
0.03621271625161171,
0.034565769135951996,
-0.0016369031509384513,
0.05434919893741608,
0.041454821825027466,
-0.055152587592601776,
0.031773995608091354,
0.028058327734470367,
-0.04711870849132538,
-0.012713615782558918,
-0.035449497401714325,
0.005222022067755461,
0.002098851138725877,
-0.06386934965848923,
-0.008124261163175106,
-0.042499225586652756,
0.018005933612585068,
0.013597342185676098,
0.0013004844076931477,
0.03605203703045845,
-0.013175563886761665,
0.0002598458086140454,
0.01946207508444786,
0.09632622450590134,
-0.0038537520449608564,
0.062222402542829514,
-0.007019603159278631,
0.016439327970147133,
0.04095270484685898,
-0.026933584362268448,
-0.014300307258963585,
0.04993056505918503,
-0.024724267423152924,
0.045391425490379333,
-0.03283848613500595,
0.0016331372316926718,
-0.010916034691035748,
-0.028640784323215485,
-0.03340085595846176,
-0.045632440596818924,
-0.001017415663227439,
0.024141810834407806,
-0.017925595864653587,
0.04446752741932869,
0.022976897656917572,
-0.005447975359857082,
-0.07901321351528168,
0.012442472390830517,
0.04567261040210724,
0.001816410105675459,
0.000859248626511544,
0.07053747028112411,
-0.04334278404712677,
0.06563680619001389,
-0.09142556041479111,
0.056438010185956955,
-0.028339512646198273,
-0.023017067462205887,
0.04245905950665474,
-0.029444171115756035,
0.046275150030851364,
0.035128142684698105,
0.004709862172603607,
-0.036011867225170135,
-0.010614764876663685,
-0.03502772003412247,
0.020948342978954315,
0.02012486942112446,
-0.008330130018293858,
0.02195257879793644,
-0.02130986750125885,
-0.018377501517534256,
-0.03567042946815491,
-0.0522603914141655,
0.000179663926246576,
0.0050136432982981205,
0.17031826078891754,
0.004471356514841318,
-0.005342530552297831,
-0.030327897518873215,
-0.022535035386681557,
-0.04157533124089241,
0.014240052551031113,
-0.03141247108578682,
-0.020948342978954315,
-0.021370122209191322,
-0.0474400632083416,
0.0057040550746023655,
0.04278041422367096,
0.013878528028726578,
-0.0237200316041708,
-0.013898612931370735,
-0.0021264676470309496,
0.058446478098630905,
0.014561408199369907,
0.017353180795907974,
0.02948434092104435,
0.042900919914245605,
0.014440899714827538,
-0.014591535553336143,
0.018718941137194633,
0.02524646930396557,
-0.024061471223831177,
-0.03715669736266136,
0.01865868642926216,
-0.014631704427301884,
0.02444308064877987,
-0.030709506943821907,
0.017092080786824226,
-0.044427357614040375,
0.021771816536784172,
0.04816311225295067,
0.0533449649810791,
-0.021751731634140015,
0.04796226695179939,
-0.03950660675764084,
0.012171328999102116,
-0.06844866275787354,
0.08339168131351471,
-0.0030403216369450092,
0.023679861798882484,
0.056598685681819916,
-0.03468627855181694,
-0.02739553153514862,
0.03390297666192055,
-0.029363833367824554,
0.015013313852250576,
0.03149281069636345,
-0.015515431761741638,
0.009675804525613785,
0.07716541737318039,
0.04454786702990532,
0.001438566716387868,
0.05784393846988678,
-0.03661441057920456,
-0.03498755022883415,
0.03663449361920357,
-0.0434231236577034,
-0.023177744820713997,
-0.00009045960905496031,
0.02345893159508705,
0.005412826780229807,
0.0337824672460556,
0.037136610597372055,
0.044025663286447525,
-0.006472294684499502,
-0.05599614605307579,
-0.041695840656757355,
0.05318428948521614,
0.0013670149492099881,
-0.02450333535671234,
0.08078067004680634,
0.05205954611301422,
0.0656769722700119,
0.015234245918691158,
0.05025192350149155,
-0.004308168310672045,
0.03197484463453293,
-0.024161895737051964,
0.021410292014479637,
-0.009936905466020107,
-0.01967296376824379,
-0.007381127681583166,
-0.04069160297513008,
0.015886997804045677,
-0.00003552089037839323,
-0.0458332858979702,
-0.020566733554005623,
-0.06161986291408539,
-0.007672355975955725,
-0.01237217616289854,
0.0171523354947567,
0.0016356478445231915,
0.04085228219628334,
0.030327897518873215,
0.021671392023563385,
-0.04888616129755974,
-0.008234727196395397,
-0.05161768198013306,
-0.028640784323215485,
-0.033200010657310486,
-0.03291882574558258,
-0.013506961055099964,
-0.009394618682563305,
-0.015043441206216812,
-0.017172418534755707,
-0.010815611109137535,
-0.001316803158260882,
-0.039948470890522,
0.02594943344593048,
0.010323536582291126,
-0.07178272306919098,
0.02039601467549801,
0.04976988956332207,
0.006858925335109234,
0.005176831502467394,
0.025045622140169144,
-0.05085446313023567,
-0.010514341294765472,
0.044025663286447525,
-0.005377678666263819,
0.021591054275631905,
0.07013577222824097,
0.028018157929182053,
-0.007215428631752729,
-0.031050948426127434,
0.022454695776104927,
-0.00017778098117560148,
-0.011367940343916416,
0.010524383746087551,
-0.033621788024902344,
0.09512114524841309,
0.017543986439704895,
0.018688814714550972,
0.06885035336017609,
0.005819541867822409,
0.034646108746528625,
-0.021671392023563385,
-0.026632312685251236,
-0.01026830356568098,
0.00029530786559917033,
-0.0037483072374016047,
0.05113564804196358,
0.02098851278424263,
-0.021570969372987747,
0.04631531983613968,
-0.0015917125856503844,
-0.0038713261019438505,
0.03478670120239258,
0.023659776896238327,
0.032979078590869904,
-0.01803606189787388,
-0.01153866108506918,
0.0426197350025177,
0.04796226695179939,
0.03693576529622078,
0.021972663700580597,
-0.013968909159302711,
-0.043945327401161194,
-0.02827925980091095,
-0.026732737198472023,
0.015234245918691158,
-0.030649254098534584,
0.015254330821335316,
0.046034134924411774,
-0.0068539041094481945,
0.005196916405111551,
0.014922932721674442,
-0.01779504492878914,
0.017001699656248093,
-0.06431121379137039,
-0.005101514048874378,
-0.05101513862609863,
-0.023900793865323067,
0.03125179558992386,
-0.06543595343828201,
-0.01747369021177292,
-0.03099069371819496,
-0.02450333535671234,
-0.008596251718699932,
0.04860497638583183,
0.057723429054021835,
0.007511678151786327,
-0.02243461087346077,
-0.02490502968430519,
-0.0028645803686231375,
0.01699165627360344,
-0.023860624060034752,
-0.001167423208244145,
0.025186214596033096,
0.023117490112781525,
0.011679253540933132,
0.008249791339039803,
0.017463646829128265,
0.03554992005228996,
0.025929348543286324,
-0.03747805207967758,
-0.03010696731507778,
0.010162858292460442,
-0.043623968958854675,
-0.025045622140169144,
-0.005307382438331842,
0.03693576529622078,
0.010238176211714745,
-0.002550757024437189,
-0.020335759967565536,
-0.021570969372987747,
0.0031984886154532433,
-0.004694798961281776,
-0.0964869037270546,
0.029363833367824554,
0.0245234202593565,
0.011237390339374542,
0.039366014301776886,
0.0474400632083416,
-0.07186306267976761,
-0.0019055360462516546,
-0.06306596100330353,
-0.005357593763619661,
-0.03715669736266136,
-0.019291354343295097,
-0.008581188507378101,
-0.059490885585546494,
-0.06563680619001389,
0.03147272765636444,
0.02562807872891426,
-0.040089063346385956,
-0.028660867363214493,
-0.03916516527533531,
-0.012713615782558918,
-0.042418889701366425,
-0.00735100032761693,
-0.014410773292183876,
0.038261353969573975,
0.007054751273244619,
-0.041213806718587875,
-0.022776050493121147,
0.0013381432509049773,
-0.04651616886258125,
0.0257285013794899,
-0.01986376941204071,
0.017031826078891754,
0.007441381923854351,
-0.04111338406801224,
-0.007913372479379177,
-0.025447316467761993,
0.0017938148230314255,
0.012281795032322407,
-0.04039033502340317,
-0.043623968958854675,
0.039466436952352524,
-0.002641138155013323,
-0.00814936775714159,
-0.017252758145332336,
-0.004975984804332256,
0.0005024313577450812,
0.051376666873693466,
-0.018909746780991554,
0.06330697983503342,
0.03781949356198311,
0.010353663004934788,
-0.022976897656917572,
-0.0067685442045331,
0.028379682451486588,
0.012603149749338627,
-0.027194684371352196,
0.04848446696996689,
-0.004662161227315664,
-0.021169275045394897,
-0.06475307792425156,
-0.0018741536187008023,
0.0017599218990653753,
0.08098151534795761,
0.033280350267887115,
-0.04828362166881561,
0.01258306484669447,
0.055152587592601776,
0.007853117771446705,
-0.025427231565117836,
-0.010373747907578945,
-0.010805568657815456,
0.03470636159181595,
-0.020787665620446205,
0.0396672859787941,
-0.028239089995622635,
0.04237871989607811,
-0.04059118032455444,
-0.012753784656524658,
0.02717459946870804,
-0.0012226562248542905,
0.03717678040266037,
-0.036333225667476654,
-0.022093171253800392,
0.020626988261938095,
-0.0049508786760270596,
-0.01325590256601572,
0.014802424237132072,
-0.0034846956841647625,
0.008259832859039307,
0.004393528215587139,
0.009982096031308174,
0.02964501827955246,
0.021430375054478645,
-0.01506352610886097,
-0.015013313852250576,
-0.019492201507091522,
-0.031452640891075134,
-0.03020738996565342,
0.010554510168731213,
0.07334932684898376,
0.008721780963242054,
0.02458367310464382,
0.020175082609057426,
-0.041856516152620316,
-0.007692440412938595,
-0.06937255710363388,
-0.06680171191692352,
0.039064742624759674,
-0.015927167609333992,
0.032075267285108566,
-0.06073613464832306,
-0.010343620553612709,
0.03808059170842171,
0.01015783753246069,
0.02029559016227722,
-0.040008723735809326,
0.021892324090003967,
-0.03227611258625984,
0.015907082706689835,
-0.05021175369620323,
-0.03814084827899933,
-0.015927167609333992,
-0.07708508521318436,
-0.009073263965547085,
-0.030086882412433624,
-0.023197829723358154,
-0.02530672401189804,
-0.04253939539194107,
0.05535343661904335,
-0.019743261858820915,
0.0030578956939280033,
0.013265945017337799,
0.002412674715742469,
0.0316334031522274,
-0.040832195430994034,
0.0016067760298028588,
-0.06065579503774643,
0.041936855763196945,
0.07748677581548691,
-0.009319301694631577,
-0.0066329725086688995,
-0.02007465809583664,
0.029604848474264145,
-0.05471072718501091,
-0.026813074946403503,
0.020144954323768616,
0.010805568657815456,
0.02763654850423336,
-0.04679735377430916,
0.02683315984904766,
0.008541018702089787,
0.017704663798213005,
-0.005658864509314299,
-0.03958694636821747,
-0.028379682451486588,
0.04446752741932869,
0.0005808871937915683,
0.019763344898819923,
0.025447316467761993,
0.006201151292771101,
-0.041374482214450836,
-0.0016959019703790545,
0.009113432839512825,
0.06712307035923004,
-0.017684578895568848,
-0.02739553153514862,
-0.016228439286351204,
-0.0324367918074131,
-0.05776359885931015,
-0.022454695776104927,
-0.0375182218849659,
0.004795222543179989,
-0.04366413876414299,
-0.024784520268440247,
-0.021169275045394897,
0.06270443648099899,
-0.015404965728521347,
0.002902239328250289,
-0.01337641105055809,
-0.001867877203039825,
0.045552100986242294,
-0.08435574173927307,
0.025366976857185364,
-0.021450459957122803,
0.033601704984903336,
0.014621661975979805,
-0.025186214596033096,
-0.014290264807641506,
0.012723658233880997,
0.01526437234133482,
-0.014069332741200924,
0.037377629429101944,
0.020908173173666,
0.01029340922832489,
-0.025346891954541206,
0.04091253504157066,
0.045311085879802704,
-0.001517650205641985,
0.030086882412433624,
0.012482641264796257,
0.017764918506145477,
-0.055554281920194626,
0.02932366356253624,
0.02010478638112545,
0.005513250362128019,
0.031131286174058914,
0.0038286461494863033,
-0.01621839590370655,
0.06314630061388016,
-0.04643582925200462,
0.01010762620717287,
-0.0012847932521253824,
-0.02122952975332737,
0.029665103182196617,
0.05149717256426811,
-0.04864514619112015,
-0.03623279929161072,
-0.06515476852655411,
0.018297161906957626,
0.018929829820990562,
0.03723703697323799,
-0.05551411211490631,
0.01621839590370655,
0.04149499163031578,
-0.04567261040210724,
0.016921360045671463,
0.009600486606359482,
-0.015987422317266464,
0.025587908923625946,
0.002078766468912363,
0.022294018417596817,
-0.011649126186966896,
-0.05298344045877457,
-0.0386027954518795,
-0.026692567393183708,
-0.011910228058695793,
-0.004825349431484938,
0.005673928186297417,
0.0010713932570070028,
-0.0027591357938945293,
0.003474653232842684,
0.03822118416428566,
-0.042418889701366425,
0.011227347888052464,
0.032798316329717636,
0.0065526338294148445,
0.0003357910900376737,
-0.04840413108468056,
-0.02122952975332737,
0.0035901402588933706,
-0.027034007012844086,
0.022233763709664345,
0.02066715806722641,
-0.03436492383480072,
-0.033220093697309494,
-0.03559008985757828,
-0.020245378836989403,
-0.026531890034675598,
-0.0026562015991657972,
0.009786270558834076,
0.012613192200660706,
-0.03076976165175438,
-0.05177835747599602,
-0.011478406377136707,
-0.03470636159181595,
0.042418889701366425,
-0.029303578659892082,
0.022535035386681557,
0.009389597922563553,
0.0003094299172516912,
0.058044787496328354,
-0.05402784422039986,
-0.0045542060397565365,
0.020325716584920883,
0.003113128710538149,
0.010434001684188843,
-0.0270741768181324,
-0.013034970499575138,
0.011106839403510094,
0.01017290074378252,
0.05543377622961998,
-0.014591535553336143,
0.02203291654586792,
-0.003155808662995696,
0.0230572372674942,
-0.021611137315630913,
0.028480105102062225,
0.020647073164582253,
0.017724748700857162,
0.03338077291846275,
-0.00008394777250941843,
0.03221585974097252,
-0.01737326569855213,
0.05945071578025818,
0.012402302585542202,
0.00887241680175066,
0.019572541117668152,
0.019602667540311813,
0.028239089995622635,
0.022233763709664345,
-0.03372221440076828,
-0.025447316467761993,
0.04989039897918701,
0.0008310045232065022,
-0.040490757673978806,
0.022153425961732864,
-0.0044763777405023575,
-0.015806660056114197,
0.016128014773130417,
-0.015214161016047001,
-0.02629087306559086,
0.02275596559047699,
-0.007320873439311981,
0.03285856917500496,
0.04860497638583183,
0.039767708629369736,
-0.007657292298972607,
-0.03358161821961403,
0.005960134789347649,
0.031111201271414757,
0.05535343661904335,
-0.01983364298939705,
0.011046585626900196,
0.012793954461812973,
-0.017323054373264313,
0.05033225938677788,
0.004898156505078077,
-0.003780944971367717,
0.056598685681819916,
0.02516612969338894,
0.044909391552209854,
0.004273020196706057,
-0.017252758145332336,
0.011508533731102943,
-0.0032411685679107904,
-0.019291354343295097,
0.003532396862283349,
0.019150761887431145,
-0.0033265287056565285,
0.008244769647717476,
-0.0005755522288382053,
0.07226475328207016,
0.006683184299618006,
0.04864514619112015,
0.017252758145332336,
-0.01570623554289341,
0.07652270793914795,
0.01978342980146408,
-0.04221804067492485,
-0.04993056505918503,
0.040330078452825546,
-0.002130233682692051,
0.00345456856302917,
0.00793345645070076,
0.044909391552209854,
-0.002744072349742055,
-0.01731301285326481,
-0.02932366356253624,
-0.0565585196018219,
0.03783957660198212,
0.01426013745367527,
-0.05422869324684143,
-0.010604722425341606,
0.02602977305650711,
0.01650962419807911,
-0.020868003368377686,
-0.03115137107670307,
-0.06390951573848724,
-0.003288869746029377,
0.025045622140169144,
0.02047635242342949,
0.02556782402098179,
-0.0031156393233686686,
-0.03922542184591293,
-0.06161986291408539,
0.000482032832223922,
-0.042418889701366425,
-0.015726320445537567,
-0.0010462873615324497,
-0.03888398036360741,
0.043141938745975494,
0.009550275281071663,
-0.014300307258963585,
-0.0006991986301727593,
-0.023017067462205887,
0.029223239049315453,
0.001166167901828885,
-0.006748459301888943,
0.042659904807806015,
-0.009264068678021431,
-0.0018076230771839619,
0.03685542568564415,
0.06864950805902481,
0.021249612793326378,
-0.04043050482869148,
-0.021992746740579605,
0.03781949356198311,
0.01645941287279129,
0.00408723670989275,
0.005242106970399618,
-0.04723921790719032,
-0.034806787967681885,
-0.024864859879016876,
0.024563590064644814,
-0.012482641264796257,
0.0060806432738900185,
-0.010926077142357826,
0.05218005180358887,
-0.04655633494257927,
-0.022454695776104927,
0.009931884706020355,
0.008074049837887287,
-0.00845565926283598,
0.013105267658829689,
0.02039601467549801,
0.013215732760727406,
0.02956468053162098,
0.055714961141347885,
-0.004516547080129385,
0.044347018003463745,
-0.0024528440553694963,
0.012171328999102116,
-0.029705272987484932,
0.0022331676445901394,
0.020526563748717308,
-0.01145832147449255,
-0.0014134608209133148,
0.06921187788248062,
0.02339867688715458,
0.0005488772294484079,
-0.016680344939231873,
-0.05009124428033829,
0.010654933750629425,
0.028861714527010918,
-0.027375446632504463,
-0.010765399783849716,
0.01694144494831562,
-0.014641746878623962,
0.05712088942527771,
-0.005427890457212925,
0.030086882412433624,
0.05041259899735451,
-0.0155455581843853,
-0.015073567628860474,
-0.02122952975332737,
0.022253848612308502,
0.011046585626900196,
-0.017353180795907974,
0.012040778063237667,
0.02227393351495266,
-0.02434265799820423,
-0.007345979567617178,
-0.009705931879580021,
0.019321482628583908,
0.014912890270352364,
-0.008395404554903507,
0.00807907059788704,
-0.06049511954188347,
-0.02130986750125885,
-0.0257285013794899,
0.016740597784519196,
0.015876956284046173,
0.03370212763547897,
-0.03490721061825752,
-0.016549794003367424,
-0.0033566555939614773,
0.03934592753648758,
-0.03830152377486229,
-0.016519665718078613,
0.023117490112781525,
0.010564552620053291,
0.04043050482869148,
0.017192503437399864,
-0.04087236523628235,
0.03723703697323799,
-0.022776050493121147,
-0.0036353308241814375,
0.035047803074121475,
-0.012402302585542202,
0.009796313010156155,
-0.012151244096457958,
-0.012924505397677422,
0.012321963906288147,
0.00618608808144927,
-0.033842720091342926,
0.007155174855142832,
0.02380037121474743,
0.026150280609726906,
-0.02015499770641327,
-0.007200365420430899,
0.015244288370013237,
0.01381827425211668,
-0.04896650090813637,
0.0049333046190440655,
0.045873455703258514,
0.013436664827167988,
-0.042418889701366425,
-0.003911495674401522,
-0.01891978830099106,
-0.014772297814488411,
0.022695712745189667,
0.039787791669368744,
0.014912890270352364,
0.006286511197686195,
0.027375446632504463,
0.01811639964580536,
-0.03235645219683647,
-0.005201937630772591,
0.06053528934717178,
-0.004840413108468056,
0.01017290074378252,
-0.03747805207967758,
0.02203291654586792,
-0.006542591378092766,
-0.0020561711862683296,
-0.028701037168502808,
-0.0020674688275903463,
0.004940836224704981,
0.0015741384122520685,
-0.01927127130329609,
-0.020787665620446205,
0.0053274668753147125,
-0.008279917761683464,
-0.015274414792656898,
0.034324754029512405,
0.016128014773130417,
0.008802120573818684,
0.01894991472363472,
-0.0010054903104901314,
0.042740244418382645,
0.008867395110428333,
-0.03486704081296921,
0.002666244050487876,
0.02460375800728798,
0.0501314140856266,
-0.008787056431174278,
0.011759592220187187,
-0.00863139983266592,
-0.007511678151786327,
-0.010675018653273582,
-0.029464256018400192,
0.00843055360019207,
0.05009124428033829,
-0.0022331676445901394,
-0.06463256478309631,
-0.03131204843521118,
-0.05238090083003044,
-0.00735100032761693,
-0.004960921127349138,
0.002016001846641302,
0.01975330337882042,
-0.0009282897808589041,
0.04948870465159416,
-0.006015367805957794,
0.003462100401520729,
-0.04639565944671631,
-0.043543633073568344,
-0.0014963102294132113,
0.034405093640089035,
0.03950660675764084,
-0.04221804067492485,
0.058366142213344574,
-0.04079202935099602,
0.010192985646426678,
0.002761646406725049,
-0.014832551591098309,
-0.02492511458694935,
-0.014561408199369907,
0.018608475103974342,
-0.037056274712085724,
-0.045632440596818924,
0.056920044124126434,
-0.007848097011446953,
-0.0035449496936053038,
0.015465219505131245,
-0.02484477497637272,
0.019552456215023994,
-0.006683184299618006,
-0.03450551629066467,
-0.04727938771247864,
-0.042820584028959274,
0.005884817335754633,
0.016248522326350212,
0.025989603251218796,
-0.00024996037245728076,
-0.015585727989673615,
-0.016841022297739983,
-0.022414525970816612,
-0.0015565643552690744,
0.039145082235336304,
-0.01857834868133068,
0.040832195430994034,
-0.030809931457042694,
-0.07274678349494934,
0.0000019859139683831017,
0.008666548877954483,
-0.009118454530835152,
-0.00800375360995531,
-0.003984302747994661,
-0.0661991760134697,
0.016881190240383148,
-0.03669475018978119,
0.00268381810747087,
-0.01253285352140665,
0.0013732914812862873,
0.01314543653279543,
0.027777140960097313,
-0.03129196539521217,
0.010057413950562477,
-0.039386097341775894,
0.015425050631165504,
-0.006442167796194553,
0.000947119202464819,
-0.017403393983840942,
0.018457839265465736,
0.006110770162194967,
-0.032898738980293274,
-0.003868815489113331,
0.013346283696591854,
-0.003916516900062561,
0.0013695255620405078,
-0.0003703116672113538,
0.0035123121924698353,
-0.004330763593316078,
0.007155174855142832,
-0.016148099675774574,
-0.003233636962249875,
-0.015465219505131245,
-0.021932493895292282,
0.03275814652442932,
0.02613019570708275,
-0.022253848612308502,
0.009921842254698277,
-0.00899292528629303,
-0.032878655940294266,
-0.04888616129755974,
0.054108183830976486,
-0.01930139772593975,
0.011940354481339455,
-0.05362614989280701,
-0.01057459507137537,
-0.047399893403053284,
0.03546958044171333,
-0.05238090083003044,
-0.053144119679927826,
-0.015455177053809166,
0.012121116742491722,
-0.004426165949553251,
-0.00679364986717701,
0.02347901463508606,
0.008023837581276894,
0.01986376941204071,
0.02380037121474743,
-0.027857480570673943,
-0.025688333436846733,
-0.055634621530771255,
-0.0004701075376942754,
0.013788146898150444,
-0.07587999850511551,
0.009766185656189919,
-0.011558745056390762,
-0.03605203703045845,
-0.05089463293552399,
0.006251363083720207,
0.0005526430904865265,
-0.020928258076310158,
-0.004506504628807306,
-0.006341744214296341,
0.0046973093412816525,
0.0183574166148901,
-0.010936119593679905,
-0.04888616129755974,
0.0030905334278941154,
-0.009791291318833828,
-0.04494956135749817,
0.01991398073732853,
0.026090025901794434,
-0.03482687100768089,
-0.0068539041094481945,
-0.009680826216936111,
0.029785610735416412,
0.020626988261938095,
-0.0032135520596057177,
0.01761428266763687,
-0.02611011080443859,
-0.003612735541537404,
-0.000019506089302012697,
-0.015033398754894733,
-0.04028990864753723,
0.00018390054174233228,
-0.005442954134196043,
-0.0031583192758262157,
0.018317246809601784,
-0.03749813511967659,
0.024402910843491554,
-0.004850455094128847,
-0.02570841647684574,
0.032878655940294266,
-0.00945989415049553,
0.03846220299601555,
-0.007250577211380005
] |
Inverse modelling with deep learning algorithms involves training deep
architecture to predict device's parameters from its static behaviour. Inverse
device modelling is suitable to reconstruct drifted physical parameters of
devices temporally degraded or to retrieve physical configuration. There are
many variables that can influence the performance of an inverse modelling
method. In this work the authors propose a deep learning method trained for
retrieving physical parameters of Level-3 model of Power Silicon-Carbide MOSFET
(SiC Power MOS). The SiC devices are used in applications where classical
silicon devices failed due to high-temperature or high switching capability.
The key application of SiC power devices is in the automotive field (i.e. in
the field of electrical vehicles). Due to physiological degradation or
high-stressing environment, SiC Power MOS shows a significant drift of physical
parameters which can be monitored by using inverse modelling. The aim of this
work is to provide a possible deep learning-based solution for retrieving
physical parameters of the SiC Power MOSFET. Preliminary results based on the
retrieving of channel length of the device are reported. Channel length of
power MOSFET is a key parameter involved in the static and dynamic behaviour of
the device. The experimental results reported in this work confirmed the
effectiveness of a multi-layer perceptron designed to retrieve this parameter. | [
-0.02758832275867462,
0.018419424071907997,
-0.02579263411462307,
-0.04480155184864998,
0.001796823344193399,
0.03769134730100632,
0.0013331635855138302,
0.005609263200312853,
-0.03079879842698574,
0.01645142026245594,
0.02114923484623432,
-0.046325165778398514,
0.043423041701316833,
-0.008334539830684662,
0.008212106302380562,
0.025720080360770226,
0.00819396786391735,
0.0072462428361177444,
0.0409199595451355,
-0.07799459993839264,
-0.006742905359715223,
-0.02644561231136322,
-0.04857431352138519,
-0.006960564758628607,
0.0010106422705575824,
0.04277006536722183,
0.02998257614672184,
-0.010910175740718842,
-0.020840883255004883,
0.011427116580307484,
0.05107739567756653,
0.030508587136864662,
-0.012442859821021557,
-0.0016063713701441884,
-0.07378651946783066,
-0.03437203913927078,
0.026227952912449837,
0.010692516341805458,
-0.02965608797967434,
-0.0011189051438122988,
0.013567433692514896,
-0.0224189143627882,
0.02802364155650139,
0.028585929423570633,
-0.004307841416448355,
-0.023797422647476196,
0.007318796124309301,
-0.024269018322229385,
0.0034644114784896374,
-0.0031900699250400066,
0.013023285195231438,
-0.045527081936597824,
-0.016587456688284874,
0.02691720798611641,
-0.018546391278505325,
0.019462374970316887,
0.06029164046049118,
0.06649493426084518,
0.016786977648735046,
0.0027434148360043764,
0.03495246544480324,
-0.020296735689044,
-0.07596311718225479,
-0.02194731868803501,
-0.005387069191783667,
-0.03917868435382843,
0.05372558534145355,
-0.013413257896900177,
-0.018120141699910164,
0.019897693768143654,
-0.03206847980618477,
-0.02419646456837654,
0.02867661975324154,
-0.047304634004831314,
-0.00592214846983552,
-0.020351149141788483,
0.020895298570394516,
0.045236870646476746,
0.038126666098833084,
-0.03696581348776817,
-0.0022242064587771893,
0.0922875702381134,
-0.0006314388592727482,
0.00012491323286667466,
0.03128853440284729,
-0.004128725733608007,
0.012080094777047634,
-0.056410051882267,
-0.0451643168926239,
-0.04955378174781799,
-0.04121017083525658,
0.021058542653918266,
-0.03243124485015869,
0.041826874017715454,
-0.0002590373042039573,
0.009885362349450588,
0.023761145770549774,
0.0026232486125081778,
-0.02047811821103096,
-0.005795180331915617,
-0.03596821054816246,
0.041645489633083344,
0.06946960836648941,
0.06870780140161514,
0.004158200696110725,
-0.06475365906953812,
-0.09083650261163712,
0.0015451547224074602,
0.030182097107172012,
0.14242176711559296,
-0.041863150894641876,
-0.046687930822372437,
0.03841687738895416,
-0.009767463430762291,
-0.0022117365151643753,
-0.006833597086369991,
0.003357849083840847,
-0.04099251329898834,
-0.006756509188562632,
-0.03596821054816246,
0.06714791059494019,
0.09743884205818176,
-0.01209823228418827,
0.024577369913458824,
-0.024885719642043114,
0.029547257348895073,
0.02336210384964943,
-0.044547613710165024,
0.010275335982441902,
0.03145177662372589,
-0.03402741253376007,
-0.04269751161336899,
-0.011445255018770695,
-0.02561125159263611,
-0.005500433500856161,
0.0554305836558342,
0.061198554933071136,
-0.017539717257022858,
-0.02432343363761902,
-0.03691139817237854,
0.05880430340766907,
0.003797702258452773,
0.04291516914963722,
-0.034263212233781815,
0.0035210936330258846,
-0.004008559975773096,
-0.02628236822783947,
0.050061654299497604,
0.010266266763210297,
-0.027026036754250526,
-0.019752586260437965,
0.043604426085948944,
-0.0011001999955624342,
0.02370673231780529,
0.04052091762423515,
0.055358029901981354,
-0.031342945992946625,
-0.026010293513536453,
0.006021908950060606,
-0.03736485540866852,
0.0224189143627882,
-0.023162582889199257,
-0.0012640113709494472,
0.0573895163834095,
-0.021239925175905228,
0.02985560894012451,
0.047123249620199203,
-0.016233760863542557,
-0.08887757360935211,
0.029093800112605095,
-0.001069591729901731,
-0.019154023379087448,
0.01997024565935135,
-0.03395485877990723,
-0.031669437885284424,
-0.00190451939124614,
0.005491364281624556,
-0.006352932658046484,
-0.013231875374913216,
-0.002976945135742426,
0.0011285410728305578,
0.011925918981432915,
0.017358334735035896,
0.019226577132940292,
0.02869475819170475,
0.027987366542220116,
0.03685698285698891,
-0.015072910115122795,
0.013259083032608032,
-0.012914455495774746,
-0.01216171681880951,
0.014909666031599045,
0.04044836387038231,
-0.030581139028072357,
-0.027624599635601044,
-0.022019872441887856,
-0.05292750149965286,
0.017956897616386414,
0.022527743130922318,
0.02726183459162712,
-0.038308046758174896,
-0.03353767842054367,
-0.04527314752340317,
0.016170276328921318,
-0.04480155184864998,
-0.04066602513194084,
0.05336282029747963,
0.005935752298682928,
0.029547257348895073,
-0.07501992583274841,
0.007940031588077545,
-0.02900310978293419,
-0.051004841923713684,
-0.055865902453660965,
-0.03373720124363899,
0.01597982458770275,
0.024758752435445786,
-0.03979538753628731,
-0.013576502911746502,
-0.025030827149748802,
-0.0022106028627604246,
0.011826158501207829,
0.05630122125148773,
-0.015444745309650898,
-0.041863150894641876,
-0.02437784895300865,
-0.0026731290854513645,
0.037020228803157806,
0.001114370534196496,
0.025103379040956497,
0.013195598497986794,
0.019299129024147987,
0.0722266286611557,
-0.025720080360770226,
0.002757018432021141,
0.026354920119047165,
-0.01378509309142828,
-0.013939267955720425,
-0.019879555329680443,
-0.03429948538541794,
-0.001854639151133597,
-0.0029542723204940557,
-0.023434657603502274,
-0.03642166778445244,
0.04226219281554222,
-0.039904214441776276,
-0.004938146565109491,
0.040375810116529465,
0.050388142466545105,
0.03772762045264244,
-0.042951446026563644,
-0.01467386819422245,
0.04273378849029541,
0.0072779846377670765,
-0.050896015018224716,
-0.02871289663016796,
0.0670028030872345,
0.008964844979345798,
-0.005781576503068209,
0.007935496978461742,
0.012433790601789951,
0.040375810116529465,
-0.016523972153663635,
0.003874789923429489,
-0.0153268463909626,
0.022001734003424644,
0.03045417182147503,
0.03177826479077339,
0.003947343211621046,
-0.02610098384320736,
-0.03881591930985451,
-0.014120650477707386,
-0.04338676482439041,
-0.018401285633444786,
-0.022781679406762123,
-0.07523758709430695,
-0.0428788922727108,
-0.0029542723204940557,
0.01128201000392437,
-0.022328222170472145,
-0.02207428589463234,
0.006860804278403521,
0.03852570801973343,
0.03513384982943535,
-0.026663271710276604,
-0.027316249907016754,
-0.030109545215964317,
0.017947828397154808,
0.004956285003572702,
-0.026808377355337143,
-0.00942283682525158,
-0.014165996573865414,
-0.022836094722151756,
-0.02579263411462307,
-0.012860040180385113,
-0.04436623305082321,
0.0022072019055485725,
-0.07668864727020264,
0.039577726274728775,
0.0600014291703701,
-0.02885800413787365,
-0.029111938551068306,
0.030091406777501106,
0.05144016072154045,
0.01516360230743885,
0.017521578818559647,
0.034589700400829315,
0.04244357347488403,
-0.0033011669293045998,
-0.01048392616212368,
0.02851337566971779,
0.0025892395060509443,
-0.01783899776637554,
-0.08604799956083298,
-0.03339257463812828,
0.02708045206964016,
-0.02903938665986061,
-0.03390044346451759,
-0.027026036754250526,
-0.009840017184615135,
-0.007268915884196758,
-0.03694767504930496,
-0.041355278342962265,
0.016251899302005768,
-0.0010157437063753605,
-0.023253275081515312,
0.009776532649993896,
0.026971621438860893,
-0.04403974488377571,
-0.02611912228167057,
0.01103714294731617,
-0.0007414022111333907,
-0.030218373984098434,
0.024105774238705635,
0.04625261202454567,
0.002228741068392992,
-0.03397299721837044,
0.013902991078794003,
-0.022310083732008934,
-0.015009426511824131,
0.010248128324747086,
-0.05898568779230118,
-0.04436623305082321,
-0.021076681092381477,
-0.027951089665293694,
-0.07813970744609833,
-0.07574545592069626,
0.01772109977900982,
-0.07980842888355255,
0.022001734003424644,
0.0008938771206885576,
-0.059421006590127945,
0.035696133971214294,
0.021058542653918266,
-0.0016097723273560405,
0.004180873278528452,
-0.0018115607090294361,
-0.018446629866957664,
-0.037183474749326706,
-0.0007187293376773596,
0.052963778376579285,
-0.060835789889097214,
0.026209814473986626,
0.009078209288418293,
-0.04835665598511696,
-0.019933968782424927,
0.021330617368221283,
-0.05466877669095993,
0.019444236531853676,
-0.0006518444279208779,
0.029474705457687378,
0.044402509927749634,
0.00016451986448373646,
0.02851337566971779,
0.0399404913187027,
-0.013113976456224918,
0.006021908950060606,
-0.010384165681898594,
0.00048038101522251964,
0.05938472971320152,
-0.05285494774580002,
0.007336934097111225,
0.0075409896671772,
0.042987722903490067,
-0.00169252825435251,
-0.04719580337405205,
0.016279106959700584,
-0.0004472219734452665,
-0.020206043496727943,
0.03451714664697647,
0.04218963906168938,
-0.09148948639631271,
0.022600296884775162,
-0.06936078518629074,
-0.0033986601047217846,
0.011427116580307484,
-0.0037024763878434896,
-0.03266704082489014,
0.00689254654571414,
-0.029438428580760956,
0.047449741512537,
0.01499128807336092,
-0.04422112554311752,
-0.03270331770181656,
-0.0418994277715683,
0.04128272458910942,
-0.008892292156815529,
-0.05735323950648308,
-0.02566566690802574,
-0.029710503295063972,
0.04229846969246864,
-0.021511999890208244,
0.005273704882711172,
-0.04367697611451149,
0.03740113228559494,
-0.016650941222906113,
-0.08423417061567307,
0.015372192487120628,
-0.01573495753109455,
0.005373465362936258,
-0.021838488057255745,
0.042661234736442566,
0.005504968110471964,
-0.03609517589211464,
0.04980771616101265,
0.049880269914865494,
0.0306536927819252,
0.019589342176914215,
0.0036027159076184034,
0.003731951117515564,
-0.010710653848946095,
-0.003246752079576254,
0.019226577132940292,
-0.010030468925833702,
-0.03885219618678093,
-0.02174779772758484,
0.0600014291703701,
0.04969888553023338,
-0.051984310150146484,
0.003276226809248328,
-0.02513965591788292,
-0.041065067052841187,
-0.018791258335113525,
0.023452796041965485,
-0.020441841334104538,
-0.0454908050596714,
0.008248383179306984,
-0.028005504980683327,
0.03217730671167374,
-0.006366536021232605,
-0.07501992583274841,
0.01258796639740467,
-0.05336282029747963,
-0.009858154691755772,
0.039759110659360886,
-0.018319662660360336,
0.061670150607824326,
-0.014057166874408722,
0.0541246272623539,
0.009182504378259182,
-0.04690559208393097,
0.08793438225984573,
0.010520202107727528,
-0.04171804338693619,
0.018464768305420876,
0.016279106959700584,
-0.047304634004831314,
0.0009976053843274713,
-0.0077631836757063866,
0.05960238724946976,
0.0619603656232357,
0.00467967614531517,
0.026246091350913048,
0.0454908050596714,
0.031197842210531235,
0.028186887502670288,
-0.017730168998241425,
-0.03658491000533104,
0.043604426085948944,
0.011980334296822548,
0.03711092099547386,
0.007686096243560314,
-0.024087635800242424,
-0.03453528508543968,
0.02109481953084469,
-0.018528252840042114,
0.018664289265871048,
-0.008606613613665104,
-0.00032875631586648524,
0.0006206692778505385,
-0.02162083052098751,
0.0025779029820114374,
-0.04719580337405205,
-0.0058768028393387794,
-0.003926937468349934,
-0.03502501919865608,
0.02611912228167057,
0.047449741512537,
0.05430601164698601,
0.027316249907016754,
0.010864829644560814,
-0.0560835599899292,
-0.017113467678427696,
0.02805991843342781,
0.023017477244138718,
0.042479850351810455,
-0.0022264737635850906,
-0.0005560516146942973,
-0.008910429663956165,
0.022382637485861778,
0.025048963725566864,
0.0013138916110619903,
0.020242320373654366,
-0.002552962861955166,
0.03315677493810654,
0.003441738663241267,
-0.007287053856998682,
0.0038883937522768974,
-0.010665308684110641,
0.041681766510009766,
0.02515779435634613,
-0.03351953998208046,
-0.005813318770378828,
0.030762523412704468,
-0.041355278342962265,
0.05615611374378204,
0.010774138383567333,
-0.05223824456334114,
0.0461437851190567,
0.037002090364694595,
-0.024395985528826714,
0.014692006632685661,
-0.04403974488377571,
-0.05855036899447441,
-0.05042441934347153,
-0.024631783366203308,
-0.0216026920825243,
0.06413695961236954,
-0.022999338805675507,
-0.03266704082489014,
-0.002101773163303733,
0.03874336555600166,
0.012279615737497807,
0.010855760425329208,
0.024867581203579903,
-0.010039538145065308,
0.04407602176070213,
-0.03921496123075485,
0.031052734702825546,
-0.011454323306679726,
-0.002845442621037364,
-0.0415729358792305,
0.0603279173374176,
0.016161207109689713,
-0.02094971388578415,
0.011953126639127731,
0.005622866563498974,
-0.021657105535268784,
-0.025030827149748802,
0.014274826273322105,
-0.02319885976612568,
-0.017158811911940575,
-0.04995282366871834,
-0.021874764934182167,
-0.018900087103247643,
-0.013522087596356869,
-0.008602079004049301,
0.022944923490285873,
0.009785601869225502,
0.035859379917383194,
-0.02597401663661003,
0.025502420961856842,
-0.06428206712007523,
0.02595587819814682,
0.0422259159386158,
0.03108901157975197,
0.016424212604761124,
0.003917868249118328,
0.028096195310354233,
0.025121517479419708,
-0.01633352041244507,
-0.026554441079497337,
0.01191684976220131,
0.047159526497125626,
-0.001237937598489225,
0.018265247344970703,
-0.006371070630848408,
0.025701941922307014,
0.011671982705593109,
-0.0313066728413105,
0.02611912228167057,
-0.0002172342356061563,
-0.021004127338528633,
0.0014975417871028185,
-0.029601672664284706,
-0.004879197105765343,
-0.023307690396904945,
-0.014755490235984325,
0.029420290142297745,
-0.027660876512527466,
-0.010266266763210297,
0.02209242433309555,
0.02339838072657585,
0.04995282366871834,
0.018011311069130898,
0.0006274711340665817,
0.024740613996982574,
0.00616248045116663,
-0.023325828835368156,
0.004536837339401245,
0.022001734003424644,
-0.019607480615377426,
0.04066602513194084,
-0.02145758457481861,
0.020568808540701866,
0.02967422641813755,
0.0487556979060173,
0.013268151320517063,
-0.0030290926806628704,
-0.043132830411195755,
0.005092321895062923,
0.02724369615316391,
0.05978377163410187,
-0.013730677776038647,
-0.04487410560250282,
-0.028731035068631172,
0.0050379070453345776,
0.013939267955720425,
-0.0303272046148777,
-0.02113109640777111,
-0.030055129900574684,
0.007527386303991079,
-0.020985988900065422,
-0.036349114030599594,
0.034879911690950394,
0.00024444167502224445,
-0.040230706334114075,
0.05002537742257118,
0.003627656027674675,
-0.018092934042215347,
-0.00001959075962076895,
0.0017979569965973496,
-0.0166328027844429,
-0.01804758794605732,
-0.0009766330476850271,
0.013812299817800522,
-0.04226219281554222,
-0.02158455364406109,
0.014737352728843689,
0.042806342244148254,
0.030381618067622185,
0.0026005757972598076,
-0.00003655996988527477,
0.03219544515013695,
0.029474705457687378,
-0.02838640846312046,
0.05303633213043213,
0.00967677216976881,
0.01530870795249939,
0.03098018281161785,
-0.008869619108736515,
0.03801783546805382,
0.014283895492553711,
0.008892292156815529,
0.0020099482499063015,
-0.018609875813126564,
0.031506191939115524,
0.04349559545516968,
-0.005187548231333494,
0.010864829644560814,
-0.027987366542220116,
-0.033465124666690826,
-0.018401285633444786,
0.005205686204135418,
0.030018853023648262,
-0.035714272409677505,
-0.004144596867263317,
0.04469272121787071,
0.037183474749326706,
-0.008647425100207329,
-0.02548428252339363,
0.015263362787663937,
0.014574107713997364,
0.026318643242120743,
-0.020568808540701866,
-0.031070873141288757,
-0.010175574570894241,
-0.0425524041056633,
-0.04226219281554222,
0.011644775979220867,
-0.017585061490535736,
-0.04726835712790489,
0.009273195639252663,
-0.01933540590107441,
0.025992155075073242,
-0.0317964032292366,
-0.013993683271110058,
-0.014855251647531986,
0.019226577132940292,
0.0030835075303912163,
0.02985560894012451,
0.011771743185818195,
-0.020242320373654366,
0.0030200236942619085,
0.05622866749763489,
-0.04919101670384407,
0.03223172202706337,
-0.02693534642457962,
-0.012134509161114693,
-0.0038838591426610947,
-0.012542620301246643,
0.041863150894641876,
0.01232496090233326,
0.021493861451745033,
0.05064207687973976,
0.0006949228700250387,
-0.027932951226830482,
-0.00167325627990067,
-0.036838848143815994,
-0.011726398020982742,
0.04316910728812218,
-0.020224181935191154,
-0.04015815258026123,
-0.0334288515150547,
-0.000981167540885508,
0.0798809826374054,
-0.002166390884667635,
0.014247618615627289,
-0.001997478073462844,
-0.0030585674103349447,
-0.004657003562897444,
-0.038598258048295975,
0.0009227849659509957,
0.013522087596356869,
0.03517012298107147,
-0.011073419824242592,
-0.01417506579309702,
0.03932379186153412,
-0.004359988961368799,
0.03888847306370735,
0.01516360230743885,
-0.022382637485861778,
0.04251612722873688,
0.02581077255308628,
-0.02388811483979225,
-0.027461355552077293,
-0.009137158282101154,
0.004008559975773096,
-0.016569318249821663,
-0.002636852441355586,
0.043604426085948944,
-0.046506550163030624,
0.03899729996919632,
-0.01884567365050316,
-0.038271769881248474,
-0.03270331770181656,
0.015299638733267784,
-0.02854965254664421,
0.022183116525411606,
-0.033465124666690826,
0.00480210967361927,
0.04835665598511696,
0.019716309383511543,
0.03495246544480324,
0.07480226457118988,
0.0018058924470096827,
-0.029257046058773994,
-0.046325165778398514,
0.04044836387038231,
-0.02307189255952835,
0.02691720798611641,
0.018491975963115692,
0.0702676996588707,
-0.03560544177889824,
0.020224181935191154,
0.019589342176914215,
0.009785601869225502,
0.007232639007270336,
0.07364141941070557,
-0.014329240657389164,
-0.06725674122571945,
0.019426098093390465,
-0.020713916048407555,
0.03881591930985451,
-0.0072643812745809555,
-0.010211851447820663,
0.006103530991822481,
-0.011671982705593109,
-0.008892292156815529,
-0.004865593742579222,
-0.011771743185818195,
0.05800621956586838,
0.0392875149846077,
-0.030835075303912163,
0.016406074166297913,
0.022382637485861778,
-0.03399113565683365,
0.03950517252087593,
0.007568197324872017,
0.0045708464458584785,
0.0063756052404642105,
-0.02287237159907818,
-0.002729811007156968,
0.0314699150621891,
-0.02388811483979225,
-0.05173037573695183,
-0.025411730632185936,
-0.03954144939780235,
-0.006470831111073494,
-0.039904214441776276,
0.018102003261446953,
0.018074795603752136,
0.040230706334114075,
-0.00863382127135992,
0.018773119896650314,
0.0013796428684145212,
-0.013286289758980274,
0.032485660165548325,
-0.018646150827407837,
-0.041355278342962265,
-0.0026232486125081778,
-0.012016610242426395,
0.0001621108822291717,
0.01998838409781456,
-0.003759158542379737,
-0.046034954488277435,
-0.0007465035887435079,
0.008393488824367523,
0.02517593279480934,
0.02243705280125141,
0.016161207109689713,
0.047014422714710236,
-0.01258796639740467,
0.03613145276904106,
-0.07102950662374496,
0.03711092099547386,
0.008357212878763676,
0.032322414219379425,
-0.04998910054564476,
0.019589342176914215,
-0.04414857178926468,
-0.02693534642457962,
-0.02194731868803501,
-0.010184643790125847,
-0.03384603187441826,
-0.0041899424977600574,
0.006742905359715223,
-0.0005285608349367976,
-0.0017072656191885471,
0.061343662440776825,
0.0329391174018383,
0.015589851886034012,
-0.008769858628511429,
0.024069497361779213,
-0.015952616930007935,
-0.0012934861006215215,
-0.020042799413204193,
-0.004482422489672899,
0.00038997302181087434,
-0.02708045206964016,
0.004443878773599863,
0.01417506579309702,
0.021983595564961433,
-0.03094390593469143,
0.02900310978293419,
-0.012714934535324574,
0.004566311836242676,
-0.010012330487370491,
-0.011445255018770695,
-0.03754623979330063,
-0.042624957859516144,
0.013603709638118744,
-0.004851989913731813,
0.009450043551623821,
0.004237555433064699,
-0.012479136697947979,
-0.014528762549161911,
-0.023126306012272835,
0.006126204039901495,
-0.021076681092381477,
0.030689969658851624,
0.040847405791282654,
0.04919101670384407,
-0.020550671964883804,
0.04527314752340317,
0.035859379917383194,
-0.027824120596051216,
-0.008955775760114193,
0.004262495785951614,
-0.004128725733608007,
-0.006171549670398235,
0.030544864013791084,
-0.002054160227999091,
0.008674632757902145,
0.04447506368160248,
0.005323585122823715,
-0.027787845581769943,
-0.01868242770433426,
-0.038271769881248474,
-0.0031175168696790934,
-0.011817089281976223,
-0.03932379186153412,
-0.003566439263522625,
-0.0219291802495718,
-0.015916340053081512,
-0.005396138411015272,
0.050533246248960495,
-0.01888194866478443,
0.003997223451733589,
-0.014329240657389164,
-0.013993683271110058,
-0.013649055734276772,
-0.0075364550575613976,
0.0010497529292479157,
0.02000652253627777,
0.009087278507649899,
-0.027642738074064255,
-0.001800224301405251,
0.01966189593076706,
0.042806342244148254,
-0.015109186992049217,
0.040593471378088,
-0.0075228516943752766,
0.015934478491544724,
0.027515770867466927,
-0.0034258675295859575,
0.0319596491754055,
-0.0056818160228431225,
-0.012896317057311535,
0.03098018281161785,
-0.0425524041056633,
0.019897693768143654,
0.08626566082239151,
-0.001665320829488337,
0.07168248295783997,
-0.018990779295563698,
-0.022926785051822662,
0.004310108721256256,
0.009141692891716957,
0.017612269148230553,
-0.017131606116890907,
-0.023108169436454773,
-0.0002885120047722012,
-0.010619962587952614,
-0.010211851447820663,
-0.041028790175914764,
0.029402151703834534,
0.02738880179822445,
-0.006262240931391716,
-0.003076705615967512,
-0.04081112891435623,
-0.030073268339037895,
-0.009128089062869549,
-0.011817089281976223,
-0.035387784242630005,
-0.05434228479862213,
-0.017621338367462158,
-0.021530138328671455,
0.0065841954201459885,
0.03580496460199356,
-0.009277730248868465,
-0.013168390840291977,
-0.001384177478030324,
-0.010293473489582539,
-0.0028318390250205994,
0.020586946979165077,
-0.027951089665293694,
0.007921894080936909,
-0.03979538753628731,
0.005015234462916851,
-0.0422259159386158,
0.01814734935760498,
0.028168749064207077,
-0.022926785051822662,
0.05191175639629364,
-0.00374782201834023,
-0.0006269043078646064,
-0.0232351366430521,
0.019244715571403503,
0.015535436570644379,
-0.0014215876581147313,
0.004493759013712406,
0.007155551575124264,
0.05260101333260536,
-0.03629469871520996,
-0.013123045675456524,
0.01169012114405632,
-0.002333036158233881,
-0.05147643759846687,
-0.009495389647781849,
-0.021892903372645378,
-0.03495246544480324,
0.06206919252872467,
0.0041037858463823795,
-0.0034802823793143034,
0.02109481953084469,
-0.0024418658576905727,
-0.04850175976753235,
0.0017333393916487694,
0.011653845198452473,
-0.06965099275112152,
0.07095695286989212,
0.0050061652436852455,
0.019589342176914215,
0.00047329574590548873,
0.06304866075515747,
0.009051001630723476,
-0.027134867385029793,
-0.010048607364296913,
0.010946451686322689,
0.012560758739709854,
-0.00492454320192337,
-0.021638967096805573,
0.036530494689941406,
0.014592246152460575,
0.02448667772114277,
-0.026518166065216064,
-0.05046069622039795,
-0.022509604692459106,
-0.02354348637163639,
0.0040108272805809975,
-0.0448378287255764,
0.012451929040253162,
-0.04128272458910942
] |
Generative AI applications are recently catering to a vast user base by
creating diverse and high-quality AI-generated content (AIGC). With the
proliferation of mobile devices and rapid growth of mobile traffic, providing
ubiquitous access to high-quality AIGC services via wireless communication
networks is becoming the future direction for AIGC products. However, it is
challenging to provide optimal AIGC services in wireless networks with unstable
channels, limited bandwidth resources, and unevenly distributed computational
resources. To tackle these challenges, we propose a semantic communication
(SemCom)-empowered AIGC (SemAIGC) generation and transmission framework, where
only semantic information of the content rather than all the binary bits should
be extracted and transmitted by using SemCom. Specifically, SemAIGC integrates
diffusion-based models within the semantic encoder and decoder for efficient
content generation and flexible adjustment of the computing workload of both
transmitter and receiver. Meanwhile, we devise a resource-aware workload
trade-off (ROOT) scheme into the SemAIGC framework to intelligently decide
transmitter/receiver workload, thus adjusting the utilization of computational
resource according to service requirements. Simulations verify the superiority
of our proposed SemAIGC framework in terms of latency and content quality
compared to conventional approaches. | [
-0.05134551599621773,
-0.013224291615188122,
-0.025037992745637894,
-0.022534193471074104,
0.03907337412238121,
0.019959865137934685,
-0.016900645568966866,
0.0015340178506448865,
-0.04097767174243927,
0.030468767508864403,
-0.010147440247237682,
-0.025355374440550804,
0.022163912653923035,
0.016547996550798416,
0.006202192977070808,
0.03131512179970741,
0.010976161807775497,
-0.04267038032412529,
0.014908185228705406,
-0.025461168959736824,
0.017605939880013466,
0.025725655257701874,
0.007784699555486441,
-0.020171452313661575,
0.022728148847818375,
0.020277246832847595,
0.010024012997746468,
0.018337683752179146,
-0.058997973799705505,
0.0884440615773201,
0.006766429170966148,
-0.020383041352033615,
-0.011223015375435352,
-0.017879242077469826,
-0.005708485841751099,
0.005188330542296171,
0.06273604184389114,
0.07807622104883194,
-0.0021379271056503057,
0.03688695654273033,
-0.017482513561844826,
0.010473638772964478,
-0.012183981016278267,
0.023609768599271774,
0.021141234785318375,
-0.03563505783677101,
-0.0003025056794285774,
-0.04492732882499695,
-0.0009686793782748282,
-0.03235543519258499,
0.015163854695856571,
-0.030010325834155083,
0.04302302747964859,
-0.0033126850612461567,
-0.04877118766307831,
0.011558030731976032,
0.0683431401848793,
-0.010782205499708652,
0.06449928134679794,
0.017235660925507545,
-0.018055565655231476,
0.04651424288749695,
-0.04647897556424141,
-0.028846587985754013,
-0.03427736461162567,
-0.05201554670929909,
-0.010032828897237778,
0.04355200007557869,
-0.009750710800290108,
-0.03232016786932945,
-0.0635823979973793,
-0.021917060017585754,
-0.002406821120530367,
-0.030292443931102753,
0.029675310477614403,
0.024985095486044884,
0.07553715258836746,
0.05183922499418259,
0.019219303503632545,
0.001323531148955226,
0.0031716260127723217,
0.058997973799705505,
-0.022146280854940414,
-0.0034427240025252104,
0.04880645126104355,
-0.022763414308428764,
-0.027947336435317993,
-0.07183435559272766,
0.05099286884069443,
0.0062947627156972885,
-0.04006078839302063,
-0.004844498820602894,
0.0030437910463660955,
-0.029375560581684113,
0.0059861959889531136,
0.016265878453850746,
0.015313729643821716,
-0.007035322953015566,
-0.0775119811296463,
0.03184409439563751,
-0.022252075374126434,
-0.015375442802906036,
0.008736848831176758,
-0.006427005864679813,
-0.001433733617886901,
-0.017685286700725555,
0.004641726613044739,
-0.04066028818488121,
0.010826286859810352,
0.10762809962034225,
0.004729888401925564,
-0.019483789801597595,
-0.015728091821074486,
-0.03316652402281761,
-0.006938345264643431,
0.0015957312425598502,
-0.05409616976976395,
-0.06478139758110046,
0.04489206150174141,
0.007066179998219013,
-0.018743230029940605,
-0.018884288147091866,
-0.05123972147703171,
-0.022745782509446144,
-0.03843860700726509,
0.04238826408982277,
-0.03482396900653839,
-0.04781903699040413,
0.0669325515627861,
-0.0044169132597744465,
-0.025637494400143623,
0.04164770245552063,
-0.012430834583938122,
0.06548669189214706,
0.030345341190695763,
0.0041347951628267765,
-0.008503219112753868,
0.001094310195185244,
-0.005166289862245321,
-0.03205568343400955,
0.024914566427469254,
-0.0029622414149343967,
-0.027453629299998283,
0.0058980342000722885,
-0.011505133472383022,
0.026236994192004204,
-0.05085181072354317,
0.09225265681743622,
-0.03545873239636421,
-0.0012607157696038485,
-0.07342126965522766,
0.030451135709881783,
-0.04905330762267113,
0.05444881692528725,
0.03321941941976547,
0.027982601895928383,
0.04616159573197365,
-0.0660509318113327,
0.019571952521800995,
-0.0033479498233646154,
0.04069555550813675,
-0.018990082666277885,
0.0026294300332665443,
0.03293730318546295,
0.022604722529649734,
-0.04351673647761345,
0.022498928010463715,
-0.019959865137934685,
-0.04587947577238083,
0.04408097267150879,
0.023997681215405464,
0.031121166422963142,
-0.029692942276597023,
-0.0034581522922962904,
0.009944667108356953,
0.04824221506714821,
0.03530004248023033,
-0.03723960369825363,
-0.028864219784736633,
0.03741592913866043,
-0.030221914872527122,
0.00045155445695854723,
0.053285080939531326,
0.020647527649998665,
0.06372345238924026,
0.06361766159534454,
0.06672096252441406,
0.004632910247892141,
-0.008309263736009598,
-0.008639870211482048,
0.018267154693603516,
0.03492976352572441,
0.05279137194156647,
-0.054660405963659286,
0.012087002396583557,
-0.07476133108139038,
-0.03570558875799179,
-0.03559979423880577,
-0.0011736558517441154,
-0.019395627081394196,
-0.031174063682556152,
-0.015357811003923416,
0.010491271503269672,
0.013382983393967152,
0.0016695668455213308,
0.008018328808248043,
-0.025743287056684494,
-0.023521607741713524,
-0.0042229569517076015,
-0.009301085025072098,
-0.013594571501016617,
-0.008309263736009598,
-0.014811206609010696,
-0.03503555804491043,
-0.006166927982121706,
-0.024032946676015854,
0.008163795806467533,
-0.022040486335754395,
-0.06379397958517075,
-0.0019759295973926783,
-0.008251957595348358,
-0.009089496918022633,
0.03935549035668373,
-0.0058451369404792786,
-0.03399524465203285,
-0.07088220119476318,
-0.014626066200435162,
-0.03642851486802101,
-0.025390639901161194,
0.04228246957063675,
-0.009398063644766808,
0.023204224184155464,
0.021370455622673035,
-0.009653733111917973,
0.04563262313604355,
-0.060514360666275024,
0.029005279764533043,
-0.012236878275871277,
-0.061924949288368225,
0.014335132203996181,
-0.05490725859999657,
0.03489449620246887,
-0.03346627578139305,
-0.021000174805521965,
0.04972333833575249,
-0.04630265384912491,
-0.0016772809904068708,
0.03496502712368965,
-0.008163795806467533,
-0.015983760356903076,
-0.03480633720755577,
0.003136361250653863,
0.056776292622089386,
0.0002070428163278848,
-0.03374839201569557,
-0.00016502813377883285,
0.059174295514822006,
-0.055506762117147446,
-0.0034383158199489117,
-0.027312571182847023,
0.062453921884298325,
-0.018496375530958176,
-0.006427005864679813,
0.024967461824417114,
-0.017667653039097786,
-0.018813759088516235,
0.05437828600406647,
0.030451135709881783,
-0.018884288147091866,
0.012677687220275402,
-0.056670498102903366,
-0.004835682455450296,
-0.057552117854356766,
0.0006039093132130802,
-0.04496259242296219,
-0.024085843935608864,
0.005598283372819424,
-0.014758309349417686,
0.03988446295261383,
0.002479554619640112,
0.014149991795420647,
-0.013021519407629967,
0.020876748487353325,
-0.023486342281103134,
-0.03879125416278839,
-0.04993492364883423,
-0.028493940830230713,
-0.016927093267440796,
-0.09662549197673798,
0.053955111652612686,
0.006594513542950153,
0.027665218338370323,
-0.023010266944766045,
0.013806160539388657,
0.014449742622673512,
0.004496259149163961,
0.007696537766605616,
0.03300783038139343,
0.04429256170988083,
-0.030574562028050423,
-0.013233107514679432,
-0.023168958723545074,
0.04489206150174141,
0.021740736439824104,
-0.03179119899868965,
0.006739980541169643,
-0.061889685690402985,
0.059385884553194046,
-0.0008358854101970792,
0.03790963441133499,
0.060373298823833466,
-0.026677804067730904,
-0.008018328808248043,
-0.013867873698472977,
0.004945884924381971,
0.060126446187496185,
0.004760744981467724,
-0.022287338972091675,
-0.024985095486044884,
-0.028370514512062073,
0.0016574445180594921,
0.03429499641060829,
-0.11891283094882965,
0.017262108623981476,
-0.022446030750870705,
0.056106261909008026,
0.05116919428110123,
0.07342126965522766,
0.028917117044329643,
0.018337683752179146,
-0.05455461144447327,
-0.060338035225868225,
0.003577170893549919,
-0.021705470979213715,
0.007991880178451538,
0.020629895851016045,
0.0009190882556140423,
0.05448408052325249,
-0.015534134581685066,
-0.03709854558110237,
0.009292269125580788,
-0.04037817195057869,
-0.007894902490079403,
0.008719216100871563,
0.011848965659737587,
-0.029481355100870132,
-0.04351673647761345,
0.03394234925508499,
0.006876631639897823,
-0.018602170050144196,
0.0010259846458211541,
0.008132939226925373,
0.0016111595323309302,
-0.022781046107411385,
0.03441842272877693,
-0.03886178508400917,
0.003394234925508499,
-0.017288558185100555,
-0.07112905383110046,
0.03723960369825363,
0.024191638454794884,
-0.03702801838517189,
0.0006672757444903255,
0.020700424909591675,
-0.05279137194156647,
-0.03589954227209091,
-0.057481586933135986,
-0.007894902490079403,
0.0023164551239460707,
-0.008097674697637558,
0.007194014731794596,
0.04256458580493927,
-0.03182646259665489,
-0.002147845458239317,
-0.011787251569330692,
0.03794490173459053,
0.024103475734591484,
-0.020471204072237015,
-0.007934574969112873,
0.04418676719069481,
0.029463721439242363,
0.020964911207556725,
-0.014220521785318851,
-0.015869149938225746,
-0.017165130004286766,
0.026536745950579643,
0.006228641606867313,
-0.011681457981467247,
0.006911896634846926,
0.059703268110752106,
0.0013929586857557297,
-0.010473638772964478,
-0.059668004512786865,
-0.059773799031972885,
0.061537038534879684,
0.04453941434621811,
0.015569399110972881,
-0.04312882199883461,
0.04908857122063637,
-0.016186533495783806,
-0.015199119225144386,
0.0034383158199489117,
0.06509877741336823,
0.04073081910610199,
0.009115944616496563,
0.006568064913153648,
-0.030750885605812073,
-0.009221739135682583,
-0.016380488872528076,
-0.030662724748253822,
-0.03533530607819557,
-0.04143611341714859,
-0.03713381290435791,
-0.04538577049970627,
0.014008932746946812,
0.027012819424271584,
-0.04729006811976433,
-0.007026507053524256,
0.04580894485116005,
-0.021123601123690605,
-0.03991973027586937,
0.019007714465260506,
0.055965203791856766,
0.025002727285027504,
0.005029638763517141,
-0.0021764980629086494,
0.020048025995492935,
0.021617308259010315,
-0.04739586263895035,
-0.04930016025900841,
-0.0003038831928279251,
-0.04168296605348587,
0.04693742096424103,
-0.056070998311042786,
-0.03385418653488159,
0.022922106087207794,
-0.030116120353341103,
0.030874313786625862,
-0.031050637364387512,
0.011302361264824867,
-0.027012819424271584,
0.021881794556975365,
0.009036599658429623,
-0.008102082647383213,
-0.0664035752415657,
-0.061748627573251724,
0.04429256170988083,
-0.061113860458135605,
-0.03457711637020111,
-0.055506762117147446,
-0.05229766666889191,
0.04693742096424103,
-0.0651693120598793,
-0.022763414308428764,
0.026148833334445953,
-0.04803062602877617,
0.004575605038553476,
-0.016318775713443756,
0.018029117956757545,
-0.04210614413022995,
0.04372832551598549,
0.012651239521801472,
0.000262281799223274,
-0.004480830859392881,
0.03397761285305023,
0.017614755779504776,
-0.025884347036480904,
-0.05346140265464783,
0.014793573878705502,
-0.0021467432379722595,
-0.003623455995693803,
-0.023980049416422844,
0.04482153430581093,
-0.03358970209956169,
-0.010905632749199867,
-0.029657678678631783,
-0.017200395464897156,
-0.08005104213953018,
-0.015128590166568756,
0.006083174142986536,
0.004822458606213331,
0.03794490173459053,
0.025884347036480904,
-0.024738240987062454,
0.016512732952833176,
0.004928252659738064,
0.018901921808719635,
-0.014529088512063026,
0.03463001176714897,
-0.025090890005230904,
-0.027153879404067993,
0.03949655219912529,
0.023345282301306725,
-0.017799897119402885,
-0.005122208967804909,
-0.04309355840086937,
-0.010791022330522537,
-0.013303637504577637,
0.004128183238208294,
0.03498265892267227,
-0.03545873239636421,
-0.025108521804213524,
0.022322604432702065,
0.024579551070928574,
0.011240648105740547,
-0.017597123980522156,
0.05194501951336861,
0.03159724175930023,
-0.024297431111335754,
0.009398063644766808,
0.012748217210173607,
0.04365779459476471,
-0.022410767152905464,
-0.04390464723110199,
0.019430892542004585,
0.07490238547325134,
-0.019131142646074295,
-0.07215173542499542,
0.0015714867040514946,
0.03935549035668373,
0.019342729821801186,
-0.026695437729358673,
0.00044576881919056177,
0.03413630649447441,
-0.015357811003923416,
0.05300296097993851,
0.021070703864097595,
0.009530305862426758,
-0.005131025332957506,
-0.018090831115841866,
-0.03334284573793411,
0.025937244296073914,
-0.020665159448981285,
-0.03149144724011421,
-0.03646377846598625,
0.016706688329577446,
0.013885506428778172,
0.009005743078887463,
-0.06506351381540298,
0.002406821120530367,
0.017015255987644196,
0.0013984688557684422,
-0.04884171858429909,
0.00048599272849969566,
0.025531699880957603,
0.005228003486990929,
0.03688695654273033,
-0.05614152550697327,
-0.055295173078775406,
0.0005581753212027252,
0.03154434263706207,
0.003645496442914009,
0.04058976098895073,
-0.004972333554178476,
-0.03879125416278839,
0.006003828253597021,
0.018584538251161575,
-0.023433445021510124,
-0.04774850979447365,
-0.022604722529649734,
0.005805463995784521,
0.030733253806829453,
0.023027900606393814,
0.027682850137352943,
0.012280958704650402,
-0.04030764102935791,
0.05388458073139191,
0.04848907142877579,
0.017032887786626816,
0.03147381544113159,
-0.006647410802543163,
-0.007846413180232048,
-0.03425973281264305,
-0.00038460647920146585,
0.005029638763517141,
0.014467375352978706,
0.012624790892004967,
0.014229337684810162,
-0.004000348038971424,
0.005532161798328161,
0.009979932568967342,
-0.03967287391424179,
0.012774665839970112,
0.028141291812062263,
0.016045473515987396,
0.03932022675871849,
0.023398179560899734,
-0.014502639882266521,
-0.005761383101344109,
-0.017702918499708176,
0.04870065674185753,
0.0008435996132902801,
-0.013682734221220016,
-0.030592195689678192,
-0.0059288907796144485,
-0.05014651268720627,
0.026078302413225174,
0.005959747359156609,
-0.031121166422963142,
-0.08336593210697174,
-0.00004301338776713237,
0.030697988346219063,
0.016142452135682106,
0.021899426355957985,
-0.04997019097208977,
-0.020806219428777695,
0.027242040261626244,
0.004189896397292614,
0.04118926078081131,
0.022869208827614784,
-0.009539122693240643,
0.026307525113224983,
0.05042863264679909,
-0.025408271700143814,
-0.016301143914461136,
-0.000040637147321831435,
0.014044198207557201,
-0.017473697662353516,
-0.024420859292149544,
0.020806219428777695,
0.04848907142877579,
-0.024720609188079834,
0.012862827628850937,
0.017015255987644196,
0.007299809250980616,
0.0010210254695266485,
-0.025373008102178574,
-0.05173343047499657,
-0.007176382467150688,
0.016697872430086136,
-0.003929818514734507,
0.04245879128575325,
-0.03903811052441597,
0.004441157914698124,
0.007837597280740738,
-0.017068153247237206,
-0.024385593831539154,
0.020876748487353325,
0.00023376689932774752,
-0.0020596834365278482,
-0.03371312841773033,
-0.005915666464716196,
-0.07084693759679794,
0.029428457841277122,
-0.004602053668349981,
0.020524101331830025,
0.009830056689679623,
0.018937185406684875,
-0.03321941941976547,
0.031156431883573532,
0.04016658291220665,
0.030415870249271393,
-0.03299019858241081,
0.03664010390639305,
-0.009071864187717438,
-0.019113508984446526,
0.0820964053273201,
-0.006074357777833939,
0.008657502941787243,
0.029710575938224792,
0.053849317133426666,
0.002011194359511137,
-0.004436749964952469,
-0.023239487782120705,
0.021194132044911385,
0.0016376081621274352,
0.016971174627542496,
0.0025412680115550756,
-0.017297374084591866,
0.03126222640275955,
-0.021599676460027695,
-0.03413630649447441,
-0.03249649330973625,
0.019677745178341866,
-0.006691491696983576,
-0.019942231476306915,
-0.012977438047528267,
0.007568703033030033,
0.0031165247783064842,
-0.013312453404068947,
-0.03339574486017227,
-0.006277130451053381,
-0.04182402789592743,
0.017041703686118126,
-0.007529030088335276,
-0.018549272790551186,
0.007374746724963188,
0.04305829480290413,
0.006964793428778648,
0.007670089136809111,
-0.017782263457775116,
0.0028652632609009743,
0.017262108623981476,
-0.012245694175362587,
-0.003870309330523014,
0.03999025747179985,
-0.027418365702033043,
0.03228490427136421,
0.012272142805159092,
-0.029269766062498093,
-0.008265182375907898,
-0.019095877185463905,
0.0009196393075399101,
0.023662665858864784,
0.0024244533851742744,
0.07694774866104126,
0.005977379623800516,
0.020400673151016235,
-0.04115399718284607,
-0.010561800561845303,
-0.002909344155341387,
0.024755874648690224,
-0.027065716683864594,
0.04803062602877617,
0.059526946395635605,
-0.020294880494475365,
0.023574503138661385,
-0.027894439175724983,
-0.027506526559591293,
0.018126096576452255,
-0.006188968662172556,
0.03787437081336975,
0.017209211364388466,
-0.07659509778022766,
-0.0014612842351198196,
0.008384200744330883,
-0.0023010268341749907,
-0.005179514177143574,
-0.021053072065114975,
0.008335711434483528,
0.020435938611626625,
-0.017870426177978516,
-0.04369305819272995,
-0.001980337779968977,
-0.005382286850363016,
-0.020929645746946335,
-0.025884347036480904,
0.03625219315290451,
0.010632330551743507,
-0.008009512908756733,
0.0009455368854105473,
-0.060232240706682205,
0.03366022929549217,
0.013850241899490356,
0.0017544226720929146,
-0.011011427268385887,
-0.014079462736845016,
0.019201671704649925,
-0.03233779966831207,
-0.014123543165624142,
0.04330514743924141,
0.006717940326780081,
0.03311362490057945,
-0.05399037525057793,
-0.006568064913153648,
-0.009838872589170933,
0.014088278636336327,
0.011628560721874237,
0.014264602214097977,
-0.0011372891021892428,
0.061219654977321625,
0.06742625683546066,
0.03223200514912605,
0.04602053388953209,
0.05265031382441521,
-0.007110260892659426,
-0.04379885271191597,
0.0060699498280882835,
0.004148019477725029,
0.004950293339788914,
0.04242352768778801,
-0.019060611724853516,
0.03731013461947441,
-0.04573841765522957,
0.03366022929549217,
0.0012970826355740428,
0.020383041352033615,
-0.052615050226449966,
-0.03609349951148033,
-0.03283150866627693,
0.005571834743022919,
0.03649904578924179,
-0.03202041983604431,
0.027347834780812263,
-0.058645326644182205,
-0.009865321218967438,
-0.010094542987644672,
-0.03604060411453247,
0.00003743438719538972,
0.019148774445056915,
-0.004659358877688646,
-0.018849024549126625,
0.025919612497091293,
0.006700307596474886,
0.025937244296073914,
-0.016953542828559875,
0.03290203958749771,
-0.00017522186681162566,
0.015472421422600746,
-0.04792483150959015,
0.04471573978662491,
-0.005933298729360104,
0.012413201853632927,
0.04725480079650879,
-0.06474613398313522,
-0.006325619760900736,
-0.03942602127790451,
-0.03355443477630615,
0.017835160717368126,
0.015895599499344826,
0.03547636792063713,
0.012607158161699772,
0.0060346852988004684,
0.025496434420347214,
0.009724262170493603,
-0.003310481086373329,
-0.023486342281103134,
0.016318775713443756,
-0.026430951431393623,
-0.057940028607845306,
-0.03219674155116081,
-0.006872223690152168,
0.020576998591423035,
-0.0035419061314314604,
-0.026025405153632164,
0.008772113360464573,
0.060126446187496185,
-0.010032828897237778,
0.006709123961627483,
-0.011055507697165012,
0.020383041352033615,
-0.03579374775290489,
-0.04527997598052025,
-0.013074416667222977,
-0.026519112288951874,
0.019307466223835945,
0.013576939702033997,
-0.004544748459011316,
0.0013025926891714334,
0.015948494896292686,
-0.03224964067339897,
0.0014899368397891521,
0.006369700655341148,
-0.027365468442440033,
-0.04203561693429947,
-0.018284786492586136,
-0.03865019604563713,
-0.025073256343603134,
-0.006722348276525736,
-0.022128647193312645,
0.016098370775580406,
0.020947277545928955,
0.03570558875799179,
0.005461632274091244,
-0.03995499387383461,
0.011584479361772537,
0.030574562028050423,
-0.029957428574562073,
0.026025405153632164,
-0.019466158002614975,
0.012686504051089287,
0.0060390932485461235,
-0.014326316304504871,
-0.002486166777089238,
-0.019589584320783615,
-0.010367844253778458,
-0.005214779172092676,
-0.04510365054011345,
-0.010588249191641808,
-0.014185257256031036,
-0.029851634055376053,
-0.019677745178341866,
-0.03794490173459053,
0.04725480079650879,
-0.013656285591423512,
0.009856505319476128,
0.0006314599304459989,
0.008512035943567753,
-0.025020359084010124,
0.021440984681248665,
0.006140479352325201,
0.012422017753124237,
-0.021282292902469635,
0.0004251058853697032,
0.04669056460261345,
-0.03253175690770149,
-0.004438953939825296,
-0.023468710482120514,
0.013259556144475937,
-0.03632272034883499,
0.011249464005231857,
0.05021704360842705,
-0.004397077020257711,
0.009715446271002293,
0.04249405860900879,
0.021529147401452065,
-0.005038455128669739,
-0.008102082647383213,
0.03165013715624809,
-0.026148833334445953,
0.028088396415114403,
-0.028546838089823723,
-0.020788585767149925,
-0.019466158002614975,
0.013885506428778172,
-0.03464764356613159,
-0.0031561977230012417,
-0.056458909064531326,
0.003945246804505587,
-0.04023711010813713,
-0.014229337684810162,
0.031033003702759743,
0.016856564208865166,
0.0022150687873363495,
0.017041703686118126,
-0.006453454494476318,
0.0008529667975381017,
-0.004315527155995369,
0.04485679790377617,
0.010702860541641712,
0.03464764356613159,
0.006762021221220493,
-0.001156023470684886,
0.00020869585569016635,
-0.05254451930522919,
0.05201554670929909,
0.014617250300943851,
-0.013814976438879967,
0.008913172408938408,
0.016583262011408806,
-0.03261991962790489,
0.04256458580493927,
0.022428398951888084,
0.002999710151925683,
0.04785430431365967,
0.0022371092345565557,
-0.006982426159083843,
0.007595151662826538,
-0.028211822733283043,
0.022216809913516045,
-0.019025348126888275,
0.03492976352572441,
0.026148833334445953,
0.030944842845201492,
-0.0045579723082482815,
-0.024032946676015854,
0.03882652148604393,
0.020541733130812645,
-0.008732440881431103,
0.04602053388953209,
-0.05444881692528725,
0.011249464005231857,
-0.0020023782271891832,
-0.03126222640275955,
-0.03189698979258537,
0.0005719506298191845,
0.004950293339788914,
-0.009433328174054623,
-0.024932198226451874,
0.026977555826306343,
0.002600777428597212,
0.020100923255085945,
-0.027400732040405273,
-0.024632446467876434,
0.013400615192949772,
0.03745119273662567,
-0.03621692582964897,
-0.028476309031248093,
-0.024544285610318184,
0.007890493609011173,
0.008251957595348358,
-0.03466527536511421,
-0.019801173359155655,
-0.0023098429664969444,
0.011531582102179527,
-0.03917916864156723,
-0.016133636236190796,
-0.0037424745969474316,
0.009274636395275593,
-0.000157727234181948,
0.028053130954504013,
-0.009539122693240643,
0.03487686440348625,
0.021670205518603325,
0.03309599310159683,
-0.03787437081336975,
0.024544285610318184,
-0.011937127448618412,
-0.07060008496046066,
-0.0042912825010716915,
-0.029463721439242363,
0.016177717596292496,
-0.014449742622673512,
0.004472014494240284,
-0.03960234671831131,
0.009503857232630253,
0.007423235569149256,
0.021158866584300995,
0.03194988891482353,
0.007061771582812071,
-0.03433026000857353,
-0.03822701796889305,
-0.016627343371510506,
0.08047422021627426,
-0.021388087421655655,
0.03336048126220703,
0.04041343554854393,
0.04383412003517151,
-0.025637494400143623,
0.061854422092437744,
0.012131083756685257,
-0.03538820520043373,
0.012712952680885792,
0.005483672954142094,
-0.010588249191641808,
-0.005682037211954594,
-0.07391497492790222,
-0.009547938592731953,
0.013056783936917782,
-0.024332696571946144,
-0.004531524144113064,
-0.03380129113793373,
-0.023362915962934494,
0.006047909613698721
] |