đ MetaMath-Llemma-7B
MetaMath-Llemma-7B is a fully fine - tuned model on the MetaMathQA datasets, based on the powerful Llemma - 7B model, aiming to enhance mathematical question - answering capabilities.
đ Quick Start
See our paper at https://arxiv.org/abs/2309.12284.
View the project page: [https://meta - math.github.io/](https://meta - math.github.io/)
⨠Features
- All MetaMathQA data are augmented from the training sets of GSM8K and MATH. None of the augmented data is from the testing set.
- MetaMath - Llemma - 7B is fully fine - tuned on the MetaMathQA datasets and based on the Llemma - 7B model, which can boost the MATH performance from 19.8 to 30.0.
đĻ Installation
pip install transformers==4.35.0
pip install torch==2.0.1
pip install sentencepiece==0.1.99
pip install tokenizers==0.13.3
pip install accelerate==0.21.0
pip install bitsandbytes==0.40.0
pip install vllm
pip install fraction
pip install protobuf
đģ Usage Examples
Basic Usage
Prompting template:
"Below is an instruction that describes a task. "
"Write a response that appropriately completes the request.\n\n"
"### Instruction:\n{instruction}\n\n### Response: Let's think step by step."
where you need to use your query question to replace the {instruction}
.
đ Documentation
Experiments
Property |
Details |
Model Type |
MetaMath-Llemma-7B, MetaMath-Mistral-7B etc. |
Training Data |
meta-math/MetaMathQA |
Model |
GSM8k Pass@1 |
MATH Pass@1 |
MPT-7B |
6.8 |
3.0 |
Falcon-7B |
6.8 |
2.3 |
LLaMA-1-7B |
11.0 |
2.9 |
LLaMA-2-7B |
14.6 |
2.5 |
MPT-30B |
15.2 |
3.1 |
LLaMA-1-13B |
17.8 |
3.9 |
GPT-Neo-2.7B |
19.5 |
-- |
Falcon-40B |
19.6 |
2.5 |
Baichuan-chat-13B |
23.9 |
-- |
Vicuna-v1.3-13B |
27.6 |
-- |
LLaMA-2-13B |
28.7 |
3.9 |
InternLM-7B |
31.2 |
-- |
ChatGLM-2-6B |
32.4 |
-- |
GPT-J-6B |
34.9 |
-- |
LLaMA-1-33B |
35.6 |
3.9 |
LLaMA-2-34B |
42.2 |
6.24 |
RFT-7B |
50.3 |
-- |
LLaMA-1-65B |
50.9 |
10.6 |
Qwen-7B |
51.6 |
-- |
WizardMath-7B |
54.9 |
10.7 |
LLaMA-2-70B |
56.8 |
13.5 |
WizardMath-13B |
63.9 |
14.0 |
MAmmoTH-7B (COT) |
50.5 |
10.4 |
MAmmoTH-7B (POT+COT) |
53.6 |
31.5 |
Arithmo-Mistral-7B |
74.7 |
25.3 |
MetaMath-7B |
66.5 |
19.8 |
MetaMath-13B |
72.3 |
22.4 |
đĨ MetaMath-Llemma-7B |
69.2 |
30.0 |
đĨ MetaMath-Mistral-7B |
77.7 |
28.2 |
đ License
This project is licensed under the Apache-2.0 license.
đ Citation
@article{yu2023metamath,
title={MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models},
author={Yu, Longhui and Jiang, Weisen and Shi, Han and Yu, Jincheng and Liu, Zhengying and Zhang, Yu and Kwok, James T and Li, Zhenguo and Weller, Adrian and Liu, Weiyang},
journal={arXiv preprint arXiv:2309.12284},
year={2023}
}
@article{azerbayev2023llemma,
title={Llemma: An open language model for mathematics},
author={Azerbayev, Zhangir and Schoelkopf, Hailey and Paster, Keiran and Santos, Marco Dos and McAleer, Stephen and Jiang, Albert Q and Deng, Jia and Biderman, Stella and Welleck, Sean},
journal={arXiv preprint arXiv:2310.10631},
year={2023}
}
â ī¸ Important Note
All MetaMathQA data are augmented from the training sets of GSM8K and MATH. None of the augmented data is from the testing set. You can check the original_question
in meta-math/MetaMathQA
, each item is from the GSM8K or MATH train set.