This model is a finetuned version of Sharathhebbar24/math_gpt2
using meta-math/MetaMathQA
Model description
GPT-2 is a transformers model pre-trained on a very large corpus of English data in a self-supervised fashion. This means it was pre-trained on the raw texts only, with no humans labeling them in any way (which is why it can use lots of publicly available data) with an automatic process to generate inputs and labels from those texts. More precisely, it was trained to guess the next word in sentences.
More precisely, inputs are sequences of continuous text of a certain length and the targets are the same sequence,
shifting one token (word or piece of word) to the right. The model uses a masking mechanism to make sure the
predictions for the token i
only use the inputs from 1
to i
but not the future tokens.
This way, the model learns an inner representation of the English language that can then be used to extract features useful for downstream tasks. The model is best at what it was trained for, however, which is generating texts from a prompt.
To use this model
>>> from transformers import AutoTokenizer, AutoModelForCausalLM
>>> model_name = "Sharathhebbar24/math_gpt2_sft"
>>> model = AutoModelForCausalLM.from_pretrained(model_name)
>>> tokenizer = AutoTokenizer.from_pretrained(model_name)
>>> def generate_text(prompt):
>>> inputs = tokenizer.encode(prompt, return_tensors='pt')
>>> outputs = model.generate(inputs, max_length=64, pad_token_id=tokenizer.eos_token_id)
>>> generated = tokenizer.decode(outputs[0], skip_special_tokens=True)
>>> return generated[:generated.rfind(".")+1]
>>> prompt = "Gracie and Joe are choosing numbers on the complex plane. Joe chooses the point $1+2i$. Gracie chooses $-1+i$. How far apart are Gracie and Joe's points?"
>>> res = generate_text(prompt)
>>> res
Benchmark / Evaluation
Model | Average | ARC | HellaSwag | MMLU | TruthfulQA | Winogrande | GSM8k |
---|---|---|---|---|---|---|---|
Sharathhebbar24/math_gpt2_sft | 28.503 | 22.87 | 30.41 | 25.06 | 37.62 | 51.54 | 0.68 |
{
"all": {
"acc": 0.25082189621988066,
"acc_stderr": 0.030526589726831692,
"acc_norm": 0.25112870356236633,
"acc_norm_stderr": 0.03129390389566968,
"mc1": 0.24112607099143207,
"mc1_stderr": 0.014974827279752334,
"mc2": 0.3762297840067963,
"mc2_stderr": 0.01445991036363257
},
"harness|arc:challenge|25": {
"acc": 0.20563139931740615,
"acc_stderr": 0.01181074526074258,
"acc_norm": 0.22866894197952217,
"acc_norm_stderr": 0.012272853582540799
},
"harness|hellaswag|10": {
"acc": 0.2884883489344752,
"acc_stderr": 0.004521334761709224,
"acc_norm": 0.30412268472415854,
"acc_norm_stderr": 0.00459094683972719
},
"harness|hendrycksTest-abstract_algebra|5": {
"acc": 0.19,
"acc_stderr": 0.03942772444036625,
"acc_norm": 0.19,
"acc_norm_stderr": 0.03942772444036625
},
"harness|hendrycksTest-anatomy|5": {
"acc": 0.2074074074074074,
"acc_stderr": 0.03502553170678319,
"acc_norm": 0.2074074074074074,
"acc_norm_stderr": 0.03502553170678319
},
"harness|hendrycksTest-astronomy|5": {
"acc": 0.17763157894736842,
"acc_stderr": 0.031103182383123398,
"acc_norm": 0.17763157894736842,
"acc_norm_stderr": 0.031103182383123398
},
"harness|hendrycksTest-business_ethics|5": {
"acc": 0.19,
"acc_stderr": 0.03942772444036622,
"acc_norm": 0.19,
"acc_norm_stderr": 0.03942772444036622
},
"harness|hendrycksTest-clinical_knowledge|5": {
"acc": 0.2188679245283019,
"acc_stderr": 0.025447863825108618,
"acc_norm": 0.2188679245283019,
"acc_norm_stderr": 0.025447863825108618
},
"harness|hendrycksTest-college_biology|5": {
"acc": 0.25,
"acc_stderr": 0.03621034121889507,
"acc_norm": 0.25,
"acc_norm_stderr": 0.03621034121889507
},
"harness|hendrycksTest-college_chemistry|5": {
"acc": 0.2,
"acc_stderr": 0.04020151261036845,
"acc_norm": 0.2,
"acc_norm_stderr": 0.04020151261036845
},
"harness|hendrycksTest-college_computer_science|5": {
"acc": 0.32,
"acc_stderr": 0.046882617226215034,
"acc_norm": 0.32,
"acc_norm_stderr": 0.046882617226215034
},
"harness|hendrycksTest-college_mathematics|5": {
"acc": 0.24,
"acc_stderr": 0.042923469599092816,
"acc_norm": 0.24,
"acc_norm_stderr": 0.042923469599092816
},
"harness|hendrycksTest-college_medicine|5": {
"acc": 0.21965317919075145,
"acc_stderr": 0.031568093627031744,
"acc_norm": 0.21965317919075145,
"acc_norm_stderr": 0.031568093627031744
},
"harness|hendrycksTest-college_physics|5": {
"acc": 0.23529411764705882,
"acc_stderr": 0.04220773659171453,
"acc_norm": 0.23529411764705882,
"acc_norm_stderr": 0.04220773659171453
},
"harness|hendrycksTest-computer_security|5": {
"acc": 0.23,
"acc_stderr": 0.04229525846816505,
"acc_norm": 0.23,
"acc_norm_stderr": 0.04229525846816505
},
"harness|hendrycksTest-conceptual_physics|5": {
"acc": 0.2680851063829787,
"acc_stderr": 0.028957342788342347,
"acc_norm": 0.2680851063829787,
"acc_norm_stderr": 0.028957342788342347
},
"harness|hendrycksTest-econometrics|5": {
"acc": 0.24561403508771928,
"acc_stderr": 0.040493392977481404,
"acc_norm": 0.24561403508771928,
"acc_norm_stderr": 0.040493392977481404
},
"harness|hendrycksTest-electrical_engineering|5": {
"acc": 0.2482758620689655,
"acc_stderr": 0.036001056927277716,
"acc_norm": 0.2482758620689655,
"acc_norm_stderr": 0.036001056927277716
},
"harness|hendrycksTest-elementary_mathematics|5": {
"acc": 0.24074074074074073,
"acc_stderr": 0.0220190800122179,
"acc_norm": 0.24074074074074073,
"acc_norm_stderr": 0.0220190800122179
},
"harness|hendrycksTest-formal_logic|5": {
"acc": 0.23015873015873015,
"acc_stderr": 0.03764950879790605,
"acc_norm": 0.23015873015873015,
"acc_norm_stderr": 0.03764950879790605
},
"harness|hendrycksTest-global_facts|5": {
"acc": 0.18,
"acc_stderr": 0.038612291966536934,
"acc_norm": 0.18,
"acc_norm_stderr": 0.038612291966536934
},
"harness|hendrycksTest-high_school_biology|5": {
"acc": 0.25483870967741934,
"acc_stderr": 0.024790118459332208,
"acc_norm": 0.25483870967741934,
"acc_norm_stderr": 0.024790118459332208
},
"harness|hendrycksTest-high_school_chemistry|5": {
"acc": 0.19704433497536947,
"acc_stderr": 0.02798672466673622,
"acc_norm": 0.19704433497536947,
"acc_norm_stderr": 0.02798672466673622
},
"harness|hendrycksTest-high_school_computer_science|5": {
"acc": 0.22,
"acc_stderr": 0.041633319989322695,
"acc_norm": 0.22,
"acc_norm_stderr": 0.041633319989322695
},
"harness|hendrycksTest-high_school_european_history|5": {
"acc": 0.19393939393939394,
"acc_stderr": 0.0308741451365621,
"acc_norm": 0.19393939393939394,
"acc_norm_stderr": 0.0308741451365621
},
"harness|hendrycksTest-high_school_geography|5": {
"acc": 0.3484848484848485,
"acc_stderr": 0.033948539651564025,
"acc_norm": 0.3484848484848485,
"acc_norm_stderr": 0.033948539651564025
},
"harness|hendrycksTest-high_school_government_and_politics|5": {
"acc": 0.32124352331606215,
"acc_stderr": 0.033699508685490674,
"acc_norm": 0.32124352331606215,
"acc_norm_stderr": 0.033699508685490674
},
"harness|hendrycksTest-high_school_macroeconomics|5": {
"acc": 0.23333333333333334,
"acc_stderr": 0.021444547301560476,
"acc_norm": 0.23333333333333334,
"acc_norm_stderr": 0.021444547301560476
},
"harness|hendrycksTest-high_school_mathematics|5": {
"acc": 0.2851851851851852,
"acc_stderr": 0.027528599210340492,
"acc_norm": 0.2851851851851852,
"acc_norm_stderr": 0.027528599210340492
},
"harness|hendrycksTest-high_school_microeconomics|5": {
"acc": 0.29831932773109243,
"acc_stderr": 0.029719142876342856,
"acc_norm": 0.29831932773109243,
"acc_norm_stderr": 0.029719142876342856
},
"harness|hendrycksTest-high_school_physics|5": {
"acc": 0.2781456953642384,
"acc_stderr": 0.03658603262763744,
"acc_norm": 0.2781456953642384,
"acc_norm_stderr": 0.03658603262763744
},
"harness|hendrycksTest-high_school_psychology|5": {
"acc": 0.26788990825688075,
"acc_stderr": 0.018987462257978652,
"acc_norm": 0.26788990825688075,
"acc_norm_stderr": 0.018987462257978652
},
"harness|hendrycksTest-high_school_statistics|5": {
"acc": 0.4351851851851852,
"acc_stderr": 0.03381200005643525,
"acc_norm": 0.4351851851851852,
"acc_norm_stderr": 0.03381200005643525
},
"harness|hendrycksTest-high_school_us_history|5": {
"acc": 0.2647058823529412,
"acc_stderr": 0.0309645179269234,
"acc_norm": 0.2647058823529412,
"acc_norm_stderr": 0.0309645179269234
},
"harness|hendrycksTest-high_school_world_history|5": {
"acc": 0.28270042194092826,
"acc_stderr": 0.029312814153955927,
"acc_norm": 0.28270042194092826,
"acc_norm_stderr": 0.029312814153955927
},
"harness|hendrycksTest-human_aging|5": {
"acc": 0.31390134529147984,
"acc_stderr": 0.031146796482972465,
"acc_norm": 0.31390134529147984,
"acc_norm_stderr": 0.031146796482972465
},
"harness|hendrycksTest-human_sexuality|5": {
"acc": 0.2595419847328244,
"acc_stderr": 0.03844876139785271,
"acc_norm": 0.2595419847328244,
"acc_norm_stderr": 0.03844876139785271
},
"harness|hendrycksTest-international_law|5": {
"acc": 0.2231404958677686,
"acc_stderr": 0.03800754475228733,
"acc_norm": 0.2231404958677686,
"acc_norm_stderr": 0.03800754475228733
},
"harness|hendrycksTest-jurisprudence|5": {
"acc": 0.25925925925925924,
"acc_stderr": 0.042365112580946336,
"acc_norm": 0.25925925925925924,
"acc_norm_stderr": 0.042365112580946336
},
"harness|hendrycksTest-logical_fallacies|5": {
"acc": 0.25153374233128833,
"acc_stderr": 0.03408997886857529,
"acc_norm": 0.25153374233128833,
"acc_norm_stderr": 0.03408997886857529
},
"harness|hendrycksTest-machine_learning|5": {
"acc": 0.29464285714285715,
"acc_stderr": 0.043270409325787296,
"acc_norm": 0.29464285714285715,
"acc_norm_stderr": 0.043270409325787296
},
"harness|hendrycksTest-management|5": {
"acc": 0.17475728155339806,
"acc_stderr": 0.037601780060266224,
"acc_norm": 0.17475728155339806,
"acc_norm_stderr": 0.037601780060266224
},
"harness|hendrycksTest-marketing|5": {
"acc": 0.20085470085470086,
"acc_stderr": 0.026246772946890488,
"acc_norm": 0.20085470085470086,
"acc_norm_stderr": 0.026246772946890488
},
"harness|hendrycksTest-medical_genetics|5": {
"acc": 0.3,
"acc_stderr": 0.046056618647183814,
"acc_norm": 0.3,
"acc_norm_stderr": 0.046056618647183814
},
"harness|hendrycksTest-miscellaneous|5": {
"acc": 0.23499361430395913,
"acc_stderr": 0.01516202415227844,
"acc_norm": 0.23499361430395913,
"acc_norm_stderr": 0.01516202415227844
},
"harness|hendrycksTest-moral_disputes|5": {
"acc": 0.23699421965317918,
"acc_stderr": 0.02289408248992599,
"acc_norm": 0.23699421965317918,
"acc_norm_stderr": 0.02289408248992599
},
"harness|hendrycksTest-moral_scenarios|5": {
"acc": 0.23798882681564246,
"acc_stderr": 0.014242630070574915,
"acc_norm": 0.23798882681564246,
"acc_norm_stderr": 0.014242630070574915
},
"harness|hendrycksTest-nutrition|5": {
"acc": 0.23202614379084968,
"acc_stderr": 0.024170840879341005,
"acc_norm": 0.23202614379084968,
"acc_norm_stderr": 0.024170840879341005
},
"harness|hendrycksTest-philosophy|5": {
"acc": 0.1864951768488746,
"acc_stderr": 0.02212243977248077,
"acc_norm": 0.1864951768488746,
"acc_norm_stderr": 0.02212243977248077
},
"harness|hendrycksTest-prehistory|5": {
"acc": 0.24074074074074073,
"acc_stderr": 0.02378858355165854,
"acc_norm": 0.24074074074074073,
"acc_norm_stderr": 0.02378858355165854
},
"harness|hendrycksTest-professional_accounting|5": {
"acc": 0.2695035460992908,
"acc_stderr": 0.026469036818590627,
"acc_norm": 0.2695035460992908,
"acc_norm_stderr": 0.026469036818590627
},
"harness|hendrycksTest-professional_law|5": {
"acc": 0.2529335071707953,
"acc_stderr": 0.011102268713839989,
"acc_norm": 0.2529335071707953,
"acc_norm_stderr": 0.011102268713839989
},
"harness|hendrycksTest-professional_medicine|5": {
"acc": 0.4411764705882353,
"acc_stderr": 0.030161911930767102,
"acc_norm": 0.4411764705882353,
"acc_norm_stderr": 0.030161911930767102
},
"harness|hendrycksTest-professional_psychology|5": {
"acc": 0.25,
"acc_stderr": 0.01751781884501444,
"acc_norm": 0.25,
"acc_norm_stderr": 0.01751781884501444
},
"harness|hendrycksTest-public_relations|5": {
"acc": 0.21818181818181817,
"acc_stderr": 0.03955932861795833,
"acc_norm": 0.21818181818181817,
"acc_norm_stderr": 0.03955932861795833
},
"harness|hendrycksTest-security_studies|5": {
"acc": 0.20408163265306123,
"acc_stderr": 0.025801283475090506,
"acc_norm": 0.20408163265306123,
"acc_norm_stderr": 0.025801283475090506
},
"harness|hendrycksTest-sociology|5": {
"acc": 0.24378109452736318,
"acc_stderr": 0.03036049015401465,
"acc_norm": 0.24378109452736318,
"acc_norm_stderr": 0.03036049015401465
},
"harness|hendrycksTest-us_foreign_policy|5": {
"acc": 0.24,
"acc_stderr": 0.04292346959909281,
"acc_norm": 0.24,
"acc_norm_stderr": 0.04292346959909281
},
"harness|hendrycksTest-virology|5": {
"acc": 0.22289156626506024,
"acc_stderr": 0.03240004825594687,
"acc_norm": 0.22289156626506024,
"acc_norm_stderr": 0.03240004825594687
},
"harness|hendrycksTest-world_religions|5": {
"acc": 0.3216374269005848,
"acc_stderr": 0.03582529442573122,
"acc_norm": 0.3216374269005848,
"acc_norm_stderr": 0.03582529442573122
},
"harness|truthfulqa:mc|0": {
"mc1": 0.24112607099143207,
"mc1_stderr": 0.014974827279752334,
"mc2": 0.3762297840067963,
"mc2_stderr": 0.01445991036363257
},
"harness|winogrande|5": {
"acc": 0.5153906866614049,
"acc_stderr": 0.014045826789783668
},
"harness|gsm8k|5": {
"acc": 0.006823351023502654,
"acc_stderr": 0.0022675371022544823
}
}
Open LLM Leaderboard Evaluation Results
Detailed results can be found here
Metric | Value |
---|---|
Avg. | 28.03 |
AI2 Reasoning Challenge (25-Shot) | 22.87 |
HellaSwag (10-Shot) | 30.41 |
MMLU (5-Shot) | 25.06 |
TruthfulQA (0-shot) | 37.62 |
Winogrande (5-shot) | 51.54 |
GSM8k (5-shot) | 0.68 |
- Downloads last month
- 675
Dataset used to train Sharathhebbar24/math_gpt2_sft
Space using Sharathhebbar24/math_gpt2_sft 1
Evaluation results
- normalized accuracy on AI2 Reasoning Challenge (25-Shot)test set Open LLM Leaderboard22.870
- normalized accuracy on HellaSwag (10-Shot)validation set Open LLM Leaderboard30.410
- accuracy on MMLU (5-Shot)test set Open LLM Leaderboard25.060
- mc2 on TruthfulQA (0-shot)validation set Open LLM Leaderboard37.620
- accuracy on Winogrande (5-shot)validation set Open LLM Leaderboard51.540
- accuracy on GSM8k (5-shot)test set Open LLM Leaderboard0.680