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| @article{knuth84, | |
| author = {Knuth, Donald E.}, | |
| title = {Literate Programming}, | |
| year = {1984}, | |
| issue_date = {May 1984}, | |
| publisher = {Oxford University Press, Inc.}, | |
| address = {USA}, | |
| volume = {27}, | |
| number = {2}, | |
| issn = {0010-4620}, | |
| url = {https://doi.org/10.1093/comjnl/27.2.97}, | |
| doi = {10.1093/comjnl/27.2.97}, | |
| journal = {Comput. J.}, | |
| month = may, | |
| pages = {97–111}, | |
| numpages = {15} | |
| } | |
| @MastersThesis{Max2021, | |
| author = {Maximilian Pierzyna}, | |
| school = {TU Braunschweig}, | |
| title = {Control-oriented cluster-basednetwork modeling}, | |
| year = {2021}, | |
| month = aug, | |
| type = {resreport}, | |
| } | |
| @Article{Fernex2021, | |
| author = {Daniel Fernex and Bernd R. Noack and Richard Semaan}, | |
| journal = {Science Advances}, | |
| title = {Cluster-based network modeling{\textemdash}From snapshots to complex dynamical systems}, | |
| year = {2021}, | |
| month = {jun}, | |
| number = {25}, | |
| volume = {7}, | |
| doi = {10.1126/sciadv.abf5006}, | |
| publisher = {American Association for the Advancement of Science ({AAAS})}, | |
| } | |
| @Article{Boeing2016, | |
| author = {Geoff Boeing}, | |
| journal = {Systems}, | |
| title = {Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction}, | |
| year = {2016}, | |
| month = {nov}, | |
| number = {4}, | |
| pages = {37}, | |
| volume = {4}, | |
| doi = {10.3390/systems4040037}, | |
| publisher = {{MDPI} {AG}}, | |
| } | |
| @Book{Argyris2017, | |
| author = {John Argyris and Gunter Faust and Maria Haase and Rudolf Friedrich}, | |
| publisher = {Springer Berlin Heidelberg}, | |
| title = {Die Erforschung des Chaos}, | |
| year = {2017}, | |
| note = {Translation conducted by the author of this thesis}, | |
| doi = {10.1007/978-3-662-54546-1}, | |
| } | |
| @Misc{pysindy_Home, | |
| month = apr, | |
| note = {https://pysindy.readthedocs.io/en/latest/examples/1\_feature\_overview.html - (2022-04-06)}, | |
| title = {pySindy's remark on RK45 vs. LSODA}, | |
| year = {2022}, | |
| timestamp = {2022-04-06}, | |
| url = {https://pysindy.readthedocs.io/en/latest/examples/1_feature_overview.html}, | |
| } | |
| @Article{Taylor2010, | |
| author = {Taylor, Robert LV}, | |
| journal = {Society for Industrial and Applied Mathematics, Undergraduate Research Online}, | |
| title = {Attractors: Nonstrange to chaotic}, | |
| year = {2010}, | |
| pages = {72--80}, | |
| } | |
| @Article{Grebogi1984, | |
| author = {Celso Grebogi and Edward Ott and Steven Pelikan and James A. Yorke}, | |
| journal = {Physica D: Nonlinear Phenomena}, | |
| title = {Strange attractors that are not chaotic}, | |
| year = {1984}, | |
| issn = {0167-2789}, | |
| number = {1}, | |
| pages = {261-268}, | |
| volume = {13}, | |
| abstract = {It is shown that in certain types of dynamical systems it is possible to have attractors which are strange but not chaotic. Here we use the word strange to refer to the geometry or shape of the attracting set, while the word chaotic refers to the dynamics of orbits on the attractor (in particular, the exponential divergence of nearby trajectories). We first give examples for which it can be demonstrated that there is a strange nonchaotic attractor. These examples apply to a class of maps which model nonlinear oscillators (continuous time) which are externally driven at two incommensurate frequencies. It is then shown that such attractore are persistent under perturbations which preserve the original system type (i.e., there are two incommensurate external driving frequencies). This suggests that, for systems of the typw which we have considered, nonchaotic strange attractors may be expected to occur for a finite interval of parameter values. On the other hand, when small perturbations which do not preserve the system type are numerically introduced the strange nonchaotic attractor is observed to be converted to a periodic or chaotic orbit. Thus we conjecture that, in general, continuous time systems (“flows”) which are not externally driven at two incommensurate frequencies should not be expected to have strange nonchaotic attractors except possibly on a set of measure zero in the parameter space.}, | |
| doi = {https://doi.org/10.1016/0167-2789(84)90282-3}, | |
| url = {https://www.sciencedirect.com/science/article/pii/0167278984902823}, | |
| } | |
| @TechReport{Butt2021, | |
| author = {Javed Butt}, | |
| institution = {TU Braunschweig}, | |
| title = {Development of a module for mission analysis for a gradient-based aerodynamic shape optimization process}, | |
| year = {2021}, | |
| month = {September}, | |
| abstract = {The overall goal of this thesis is to calculate the fuel consumption and its gradients with respect to later introduced shape parameters for one or multiple individual flight missions.}, | |
| keywords = {Multidisciplinary Optimization, Navier-Stokes equations, gradients}, | |
| url = {https://elib.dlr.de/144285/}, | |
| } | |
| @TechReport{Arthur2006, | |
| author = {Arthur, David and Vassilvitskii, Sergei}, | |
| institution = {Stanford}, | |
| title = {k-means++: The advantages of careful seeding}, | |
| year = {2006}, | |
| } | |
| @Book{Frochte2020, | |
| author = {Jörg Frochte}, | |
| publisher = {Carl Hanser Verlag {GmbH} {\&} Co. {KG}}, | |
| title = {Maschinelles Lernen}, | |
| year = {2020}, | |
| month = apr, | |
| note = {Translation conducted by the author of this thesis}, | |
| doi = {10.3139/9783446463554}, | |
| } | |
| @Article{Lloyd1982, | |
| author = {Lloyd, Stuart}, | |
| journal = {IEEE transactions on information theory}, | |
| title = {Least squares quantization in PCM}, | |
| year = {1982}, | |
| number = {2}, | |
| pages = {129--137}, | |
| volume = {28}, | |
| publisher = {IEEE}, | |
| } | |
| @Misc{Sergei_Black_Art, | |
| note = {https://theory.stanford.edu/~sergei/slides/BATS-Means.pdf - 30.11.2021}, | |
| title = {k-means++ visual explanation}, | |
| owner = {Sergei Vassilvitskii}, | |
| url = {https://theory.stanford.edu/~sergei/slides/BATS-Means.pdf}, | |
| } | |
| @Misc{Sergei_Visual, | |
| note = {https://theory.stanford.edu/~sergei/slides/kdd10-thclust.pdf - 30.11.2021}, | |
| title = {k-means finding set of initial points}, | |
| owner = {Sergei Vassilvitskii}, | |
| url = {https://theory.stanford.edu/~sergei/slides/BATS-Means.pdf}, | |
| } | |
| @Article{Kaiser2014, | |
| author = {Kaiser, Eurika and Noack, Bernd R and Cordier, Laurent and Spohn, Andreas and Segond, Marc and Abel, Markus and Daviller, Guillaume and {\"O}sth, Jan and Krajnovi{\'c}, Sini{\v{s}}a and Niven, Robert K}, | |
| journal = {Journal of Fluid Mechanics}, | |
| title = {Cluster-based reduced-order modelling of a mixing layer}, | |
| year = {2014}, | |
| pages = {365--414}, | |
| volume = {754}, | |
| publisher = {Cambridge University Press}, | |
| } | |
| @Article{Brunton2016, | |
| author = {Brunton, Steven L and Proctor, Joshua L and Kutz, J Nathan}, | |
| journal = {IFAC-PapersOnLine}, | |
| title = {Sparse identification of nonlinear dynamics with control (SINDYc)}, | |
| year = {2016}, | |
| number = {18}, | |
| pages = {710--715}, | |
| volume = {49}, | |
| publisher = {Elsevier}, | |
| } | |
| @Article{Li2021, | |
| author = {Li, Hao and Fernex, Daniel and Semaan, Richard and Tan, Jianguo and Morzy{\'n}ski, Marek and Noack, Bernd R}, | |
| journal = {Journal of Fluid Mechanics}, | |
| title = {Cluster-based network model}, | |
| year = {2021}, | |
| volume = {906}, | |
| publisher = {Cambridge University Press}, | |
| } | |
| @Article{Lee1999, | |
| author = {Lee, Daniel D and Seung, H Sebastian}, | |
| journal = {Nature}, | |
| title = {Learning the parts of objects by non-negative matrix factorization}, | |
| year = {1999}, | |
| number = {6755}, | |
| pages = {788--791}, | |
| volume = {401}, | |
| publisher = {Nature Publishing Group}, | |
| } | |
| @Article{Rickles2007, | |
| author = {D. Rickles and P. Hawe and A. Shiell}, | |
| journal = {Journal of Epidemiology {\&} Community Health}, | |
| title = {A simple guide to chaos and complexity}, | |
| year = {2007}, | |
| month = {nov}, | |
| number = {11}, | |
| pages = {933--937}, | |
| volume = {61}, | |
| doi = {10.1136/jech.2006.054254}, | |
| publisher = {{BMJ}}, | |
| } | |
| @InProceedings{Langer2014, | |
| author = {Stefan Langer and Axel Schw{\"o}ppe and Norbert Kroll}, | |
| booktitle = {52nd Aerospace Sciences Meeting}, | |
| title = {The DLR Flow Solver TAU - Status and Recent Algorithmic Developments}, | |
| year = {2014}, | |
| month = {January}, | |
| abstract = {The only implicit smoothing method implemented in the DLR Flow Solver TAU is the LU-SGS method. It was chosen several years ago because of its low memory requirements and low operation counts. Since in the past for many examples a severe restriction of the CFL number and loss of robustness was observed, it is the goal of this paper to revisit the LU-SGS implementation and to discuss several alternative implicit smoothing strategies used within an agglomeration multigrid for unstructured meshes. Starting point is a full implicit multistage Runge-Kutta method. Based on this method we develop and suggest several additional features and simplifications such that the implicit method is applicable to high Reynolds number viscous flows, that is the required matrices fit into the fast memory of our cluster hardware and the arising linear systems can be approximately solved efficiently. To this end we focus on simplifications of the Jacobian as well as efficient iterative approximate solution methods. To significantly improve the approximate linear solution methods we take care of grid anisotropy for both approximately solving the linear systems and agglomeration strategy. The procedure creating coarse grid meshes is extended by strategies identifying structured parts of the mesh. This seems to improve the quality of coarse grid meshes in the way that an overall better reliability of multigrid can be observed. Furthermore we exploit grid information within the iterative solution methods for the linear systems. Numerical examples demonstrate the gain with respect to reliability and efficiency.}, | |
| keywords = {TAU, LU-SGS, implicit smoothing, implicit multistage Runge-Kutta}, | |
| url = {https://elib.dlr.de/90979/}, | |
| } | |
| @Online{plotly, | |
| address = {Montreal, QC}, | |
| author = {Plotly Technologies Inc.}, | |
| publisher = {Plotly Technologies Inc.}, | |
| title = {Collaborative data science}, | |
| url = {https://plot.ly}, | |
| year = {2015}, | |
| } | |
| @Article{harris2020array, | |
| author = {Charles R. Harris and K. Jarrod Millman and St{\'{e}}fan J. van der Walt and Ralf Gommers and Pauli Virtanen and David Cournapeau and Eric Wieser and Julian Taylor and Sebastian Berg and Nathaniel J. Smith and Robert Kern and Matti Picus and Stephan Hoyer and Marten H. van Kerkwijk and Matthew Brett and Allan Haldane and Jaime Fern{\'{a}}ndez del R{\'{i}}o and Mark Wiebe and Pearu Peterson and Pierre G{\'{e}}rard-Marchant and Kevin Sheppard and Tyler Reddy and Warren Weckesser and Hameer Abbasi and Christoph Gohlke and Travis E. Oliphant}, | |
| journal = {Nature}, | |
| title = {Array programming with {NumPy}}, | |
| year = {2020}, | |
| month = sep, | |
| number = {7825}, | |
| pages = {357--362}, | |
| volume = {585}, | |
| doi = {10.1038/s41586-020-2649-2}, | |
| publisher = {Springer Science and Business Media {LLC}}, | |
| url = {https://doi.org/10.1038/s41586-020-2649-2}, | |
| } | |
| @Article{Hunter:2007, | |
| author = {Hunter, J. D.}, | |
| journal = {Computing in Science \& Engineering}, | |
| title = {Matplotlib: A 2D graphics environment}, | |
| year = {2007}, | |
| number = {3}, | |
| pages = {90--95}, | |
| volume = {9}, | |
| abstract = {Matplotlib is a 2D graphics package used for Python for | |
| application development, interactive scripting, and publication-quality | |
| image generation across user interfaces and operating systems.}, | |
| doi = {10.1109/MCSE.2007.55}, | |
| publisher = {IEEE COMPUTER SOC}, | |
| } | |
| @article{scikit-learn, | |
| title={Scikit-learn: Machine Learning in {P}ython}, | |
| author={Pedregosa, F. and Varoquaux, G. and Gramfort, A. and Michel, V. | |
| and Thirion, B. and Grisel, O. and Blondel, M. and Prettenhofer, P. | |
| and Weiss, R. and Dubourg, V. and Vanderplas, J. and Passos, A. and | |
| Cournapeau, D. and Brucher, M. and Perrot, M. and Duchesnay, E.}, | |
| journal={Journal of Machine Learning Research}, | |
| volume={12}, | |
| pages={2825--2830}, | |
| year={2011} | |
| } | |
| @Article{2020SciPy-NMeth, | |
| author = {Virtanen, Pauli and Gommers, Ralf and Oliphant, Travis E. and Haberland, Matt and Reddy, Tyler and Cournapeau, David and Burovski, Evgeni and Peterson, Pearu and Weckesser, Warren and Bright, Jonathan and {van der Walt}, St{\'e}fan J. and Brett, Matthew and Wilson, Joshua and Millman, K. Jarrod and Mayorov, Nikolay and Nelson, Andrew R. J. and Jones, Eric and Kern, Robert and Larson, Eric and Carey, C J and Polat, {\.I}lhan and Feng, Yu and Moore, Eric W. and {VanderPlas}, Jake and Laxalde, Denis and Perktold, Josef and Cimrman, Robert and Henriksen, Ian and Quintero, E. A. and Harris, Charles R. and Archibald, Anne M. and Ribeiro, Ant{\^o}nio H. and Pedregosa, Fabian and {van Mulbregt}, Paul and {SciPy 1.0 Contributors}}, | |
| journal = {Nature Methods}, | |
| title = {{{SciPy} 1.0: Fundamental Algorithms for Scientific Computing in Python}}, | |
| year = {2020}, | |
| pages = {261--272}, | |
| volume = {17}, | |
| adsurl = {https://rdcu.be/b08Wh}, | |
| doi = {10.1038/s41592-019-0686-2}, | |
| } | |
| @Book{VanRossum2009, | |
| author = {Van Rossum, Guido and Drake, Fred L.}, | |
| publisher = {CreateSpace}, | |
| title = {Python 3 Reference Manual}, | |
| year = {2009}, | |
| address = {Scotts Valley, CA}, | |
| isbn = {1441412697}, | |
| } | |
| @Article{Silva2020, | |
| author = {Brian de Silva and Kathleen Champion and Markus Quade and Jean-Christophe Loiseau and J. Kutz and Steven Brunton}, | |
| journal = {Journal of Open Source Software}, | |
| title = {{PySINDy}: A Python package for the sparse identification of nonlinear dynamical systems from data}, | |
| year = {2020}, | |
| month = {may}, | |
| number = {49}, | |
| pages = {2104}, | |
| volume = {5}, | |
| doi = {10.21105/joss.02104}, | |
| publisher = {The Open Journal}, | |
| } | |
| @Article{Kaptanoglu2022, | |
| author = {Kaptanoglu, Alan and De Silva, Brian and Fasel, Urban and Kaheman, Kadierdan and Goldschmidt, Andy and Callaham, Jared and Delahunt, Charles and Nicolaou, Zachary and Champion, Kathleen and Loiseau, Jean-Christophe and Kutz, J and Brunton, Steven}, | |
| journal = {Journal of Open Source Software}, | |
| title = {PySINDy: A comprehensive Python package for robust sparse system identification}, | |
| year = {2022}, | |
| month = {1}, | |
| number = {69}, | |
| pages = {3994}, | |
| volume = {7}, | |
| date = {2022-01-29}, | |
| day = {29}, | |
| doi = {10.21105/joss.03994}, | |
| publisher = {The Open Journal}, | |
| } | |
| @Misc{Wiki_Chaos, | |
| month = nov, | |
| note = {https://en.wikipedia.org/wiki/Chaos\_theory - (29.11.2021)}, | |
| title = {Wikipedia entry on chaos theory}, | |
| year = {2021}, | |
| timestamp = {2021-11-29}, | |
| url = {https://en.wikipedia.org/wiki/Chaos_theory}, | |
| } | |
| @Misc{Kutz2022, | |
| author = {Prof. J. Nathan Kutz}, | |
| month = apr, | |
| note = {Lecutre Notes of Course}, | |
| title = {AMATH 568Advanced Differential Equations: Asymptotics \& Perturbations}, | |
| year = {2022}, | |
| } | |
| @Book{Strogatz2019, | |
| author = {Strogatz, Steven}, | |
| publisher = {CRC Press}, | |
| title = {Nonlinear dynamics and chaos : with applications to physics, biology, chemistry, and engineering}, | |
| year = {2019}, | |
| address = {Boca Raton}, | |
| isbn = {9780367092061}, | |
| } | |
| @Article{lorenz1963deterministic, | |
| author = {Lorenz, Edward N}, | |
| journal = {Journal of atmospheric sciences}, | |
| title = {Deterministic nonperiodic flow}, | |
| year = {1963}, | |
| number = {2}, | |
| pages = {130--141}, | |
| volume = {20}, | |
| } | |
| @Article{FourWing, | |
| author = {Li, Chunbiao and Pehlivan, Ihsan and Sprott, Julien Clinton and Akgul, Akif}, | |
| journal = {IEICE Electronics Express}, | |
| title = {A novel four-wing strange attractor born in bistablity}, | |
| year = {2015}, | |
| month = {02}, | |
| volume = {12}, | |
| doi = {10.1587/elex.12.20141116}, | |
| } | |
| @Article{TwoScroll, | |
| author = {Vaidyanathan, Sundarapandian and Sambas, Aceng and Zhang, Sen and Zeng, Yicheng and Mohamed, Mohamad Afendee and Mamat, Mustafa}, | |
| journal = {Telkomnika}, | |
| title = {A new two-scroll chaotic system with two nonlinearities: dynamical analysis and circuit simulation}, | |
| year = {2019}, | |
| number = {5}, | |
| pages = {2465--2474}, | |
| volume = {17}, | |
| publisher = {Ahmad Dahlan University}, | |
| } | |
| @Article{sprott2020we, | |
| author = {SPROTT, Julien}, | |
| journal = {Chaos Theory and Applications}, | |
| title = {Do we need more chaos examples?}, | |
| year = {2020}, | |
| number = {2}, | |
| pages = {49--51}, | |
| volume = {2}, | |
| } | |
| @Article{Lambe2012, | |
| author = {Andrew B. Lambe and Joaquim R. R. A. Martins}, | |
| journal = {Structural and Multidisciplinary Optimization}, | |
| title = {Extensions to the Design Structure Matrix for the Description of Multidisciplinary Design, Analysis, and Optimization Processes}, | |
| year = {2012}, | |
| pages = {273-284}, | |
| volume = {46}, | |
| doi = {10.1007/s00158-012-0763-y}, | |
| } | |
| @Misc{Brunton2019, | |
| author = {Brunton, Steven and Kutz, J}, | |
| month = {1}, | |
| title = {Data-Driven Science and Engineering}, | |
| year = {2019}, | |
| date = {2019-01-31}, | |
| day = {31}, | |
| doi = {10.1017/9781108380690}, | |
| publisher = {Cambridge University Press}, | |
| } | |
| @Article{gerbrands1981relationships, | |
| author = {Gerbrands, Jan J}, | |
| journal = {Pattern recognition}, | |
| title = {On the relationships between SVD, KLT and PCA}, | |
| year = {1981}, | |
| number = {1-6}, | |
| pages = {375--381}, | |
| volume = {14}, | |
| publisher = {Elsevier}, | |
| } | |
| @Article{Roessler1976, | |
| author = {O.E. Rössler}, | |
| journal = {Physics Letters A}, | |
| title = {An equation for continuous chaos}, | |
| year = {1976}, | |
| issn = {0375-9601}, | |
| number = {5}, | |
| pages = {397-398}, | |
| volume = {57}, | |
| abstract = {A prototype equation to the Lorenz model of turbulence contains just one (second-order) nonlinearity in one variable. The flow in state space allows for a “folded” Poincaré map (horseshoe map). Many more natural and artificial systems are governed by this type of equation.}, | |
| doi = {https://doi.org/10.1016/0375-9601(76)90101-8}, | |
| url = {https://www.sciencedirect.com/science/article/pii/0375960176901018}, | |
| } | |
| @Article{Lu2002, | |
| author = {Lu, Jinhu and Chen, Guanrong}, | |
| journal = {I. J. Bifurcation and Chaos}, | |
| title = {A New Chaotic Attractor Coined.}, | |
| year = {2002}, | |
| month = {03}, | |
| pages = {659-661}, | |
| volume = {12}, | |
| doi = {10.1142/S0218127402004620}, | |
| } | |
| @Article{Chen1999, | |
| author = {Chen, Guanrong and Ueta, Tetsushi}, | |
| journal = {International Journal of Bifurcation and chaos}, | |
| title = {Yet another chaotic attractor}, | |
| year = {1999}, | |
| number = {07}, | |
| pages = {1465--1466}, | |
| volume = {9}, | |
| publisher = {World Scientific}, | |
| } | |
| @Article{VanderPol, | |
| author = {Devia Narvaez, Diana and Velez, German and Devia Narvaez, Diego}, | |
| journal = {Contemporary Engineering Sciences}, | |
| title = {Bifurcation analysis of the Van der Pol oscillator}, | |
| year = {2018}, | |
| number = {85}, | |
| pages = {4245-4252}, | |
| volume = {11}, | |
| date = {2018}, | |
| doi = {10.12988/ces.2018.88389}, | |
| publisher = {Hikari, Ltd.}, | |
| } | |
| @Article{SR3, | |
| author = {Zheng, Peng and Askham, Travis and Brunton, Steven L and Kutz, J Nathan and Aravkin, Aleksandr Y}, | |
| journal = {IEEE Access}, | |
| title = {A unified framework for sparse relaxed regularized regression: SR3}, | |
| year = {2018}, | |
| pages = {1404--1423}, | |
| volume = {7}, | |
| publisher = {IEEE}, | |
| } | |
| @Article{Lasso, | |
| author = {Tibshirani, Robert}, | |
| journal = {Journal of the Royal Statistical Society: Series B (Methodological)}, | |
| title = {Regression shrinkage and selection via the lasso}, | |
| year = {1996}, | |
| number = {1}, | |
| pages = {267--288}, | |
| volume = {58}, | |
| publisher = {Wiley Online Library}, | |
| } | |
| @Article{protas2015optimal, | |
| author = {Protas, Bartosz and Noack, Bernd R and {\"O}sth, Jan}, | |
| journal = {Journal of Fluid Mechanics}, | |
| title = {Optimal nonlinear eddy viscosity in Galerkin models of turbulent flows}, | |
| year = {2015}, | |
| pages = {337--367}, | |
| volume = {766}, | |
| publisher = {Cambridge University Press}, | |
| } | |
| @Article{Adaboost, | |
| author = {Ying CAO and Qi-Guang MIAO and Jia-Chen LIU and Lin GAO}, | |
| journal = {Acta Automatica Sinica}, | |
| title = {Advance and Prospects of AdaBoost Algorithm}, | |
| year = {2013}, | |
| issn = {1874-1029}, | |
| number = {6}, | |
| pages = {745-758}, | |
| volume = {39}, | |
| abstract = {AdaBoost is one of the most excellent Boosting algorithms. It has a solid theoretical basis and has made great success in practical applications. AdaBoost can boost a weak learning algorithm with an accuracy slightly better than random guessing into an arbitrarily accurate strong learning algorithm, bringing about a new method and a new design idea to the design of learning algorithm. This paper first introduces how Boosting, just a conjecture when proposed, was proved right, and how this proof led to the origin of AdaBoost algorithm. Second, training and generalization error of AdaBoost are analyzed to explain why AdaBoost can successfully improve the accuracy of a weak learning algorithm. Third, different theoretical models to analyze AdaBoost are given. Meanwhile, many variants derived from these models are presented. Fourth, extensions of binary-class AdaBoost to multiclass AdaBoost are described. Besides, applications of AdaBoost algorithm are also introduced. Finally, interested directions which need to be further studied are discussed. For Boosting theory, these directions include deducing a tighter generalization error bound and finding a more precise weak learning condition in multiclass problem. For AdaBoost, the stopping conditions, the way to enhance anti-noise capability and how to improve the accuracy by optimizing the diversity of the base classifiers, are good questions to be in-depth researched.}, | |
| doi = {https://doi.org/10.1016/S1874-1029(13)60052-X}, | |
| keywords = {Ensemble learning, Boosting, AdaBoost, generalization error, classification margin, multiclass classification}, | |
| url = {https://www.sciencedirect.com/science/article/pii/S187410291360052X}, | |
| } | |
| @Book{bishop2006pattern, | |
| author = {Bishop, Christopher}, | |
| publisher = {Springer}, | |
| title = {Pattern Recognition and Machine Learning}, | |
| year = {2006}, | |
| month = {January}, | |
| abstract = {This leading textbook provides a comprehensive introduction to the fields of pattern recognition and machine learning. It is aimed at advanced undergraduates or first-year PhD students, as well as researchers and practitioners. No previous knowledge of pattern recognition or machine learning concepts is assumed. This is the first machine learning textbook to include a comprehensive coverage of recent developments such as probabilistic graphical models and deterministic inference methods, and to emphasize a modern Bayesian perspective. It is suitable for courses on machine learning, statistics, computer science, signal processing, computer vision, data mining, and bioinformatics. This hard cover book has 738 pages in full colour, and there are 431 graded exercises. | |
| Solutions for these exercises and extensive support for course instructors are provided on Christopher Bishop's page. | |
| Now available to download in full as a PDF.}, | |
| url = {https://www.microsoft.com/en-us/research/publication/pattern-recognition-machine-learning/}, | |
| } | |
| @InCollection{Rasmussen2004, | |
| author = {Carl Edward Rasmussen}, | |
| booktitle = {Advanced Lectures on Machine Learning}, | |
| publisher = {Springer Berlin Heidelberg}, | |
| title = {Gaussian Processes in Machine Learning}, | |
| year = {2004}, | |
| pages = {63--71}, | |
| doi = {10.1007/978-3-540-28650-9_4}, | |
| } | |
| @Article{lee_contribution_2021, | |
| author = {Lee, D.S. and Fahey, D.W. and Skowron, A. and Allen, M.R. and Burkhardt, U. and Chen, Q. and Doherty, S.J. and Freeman, S. and Forster, P.M. and Fuglestvedt, J. and Gettelman, A. and De León, R.R. and Lim, L.L. and Lund, M.T. and Millar, R.J. and Owen, B. and Penner, J.E. and Pitari, G. and Prather, M.J. and Sausen, R. and Wilcox, L.J.}, | |
| journal = {Atmospheric Environment}, | |
| title = {The contribution of global aviation to anthropogenic climate forcing for 2000 to 2018}, | |
| year = {2021}, | |
| issn = {13522310}, | |
| month = jan, | |
| pages = {117834}, | |
| volume = {244}, | |
| doi = {10.1016/j.atmosenv.2020.117834}, | |
| file = {Volltext:/home/jav/Zotero/storage/CNSMHQQX/Lee et al. - 2021 - The contribution of global aviation to anthropogen.pdf:application/pdf}, | |
| language = {en}, | |
| url = {https://linkinghub.elsevier.com/retrieve/pii/S1352231020305689}, | |
| urldate = {2021-08-09}, | |
| } | |
| @InBook{Fernex2021a, | |
| author = {Fernex, Daniel and Semaan, Richard and Noack, Bernd}, | |
| publisher = {American Institute of Aeronautics and Astronautics}, | |
| title = {Generalized Cluster-Based Network Model for an Actuated Turbulent Boundary Layer}, | |
| year = {2021}, | |
| month = {1}, | |
| booktitle = {AIAA Scitech 2021 Forum}, | |
| date = {2021-01-04}, | |
| day = {4}, | |
| doi = {10.2514/6.2021-1333}, | |
| } | |
| @Comment{jabref-meta: databaseType:bibtex;} | |