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license: llama3
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---
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license: llama3
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---
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# Model Card for Model ID
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<!-- Provide a quick summary of what the model is/does. -->
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The LEMMA series models are trained on the [LEMMA Dataset](https://huggingface.co/datasets/panzs19/LEMMA). This dataset uses the training set of MATH and GSM8K to generate error-corrective reasoning trajectories. For each question in these datasets, the student model (LLaMA3-8B) generates self-generated errors, and the teacher model (GPT-4o) deliberately introduces errors based on the error type distribution of the student model. Then, both "Fix & Continue" and "Fresh & Restart" correction strategies are applied to these errors to create error-corrective revision trajectories. After filtering out trajectories with incorrect final answers, we obtain this dataset. Fine-tuning on this dataset achieves up to 13.3% average accuracy improvement for LLaMA3-8B with less than 90k synthesized data. For more details, please refer to our paper [LEMMA: Learning from Errors for MatheMatical Advancement in LLMs](https://arxiv.org/abs/2503.17439).
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## Model Details
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### Model Description
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- **Finetuned from model [optional]:** [Llama-3-70B](https://huggingface.co/meta-llama/Meta-Llama-3-70B)
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### Model Sources [optional]
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- **Repository:** [https://github.com/pzs19/LEMMA/](https://github.com/pzs19/LEMMA/)
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- **Paper:** [https://arxiv.org/abs/2503.17439](https://arxiv.org/abs/2503.17439)
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### Direct Use
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The same as Llama-3-70B.
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### Recommendations
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Users (both direct and downstream) should be made aware of the risks, biases and limitations of the model.
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## Training Details
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The LEMMA series models are trained on the [LEMMA Dataset](https://huggingface.co/datasets/panzs19/LEMMA) using [LLaMA-Factory](https://github.com/hiyouga/LLaMA-Factory). For more details, please refer to our [paper](https://arxiv.org/abs/2503.17439).
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### Results
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| Model | Checkpoint | Paper | GSM8k | MATH | License |
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| ----- |------| ---- |------|-------| ----- |
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| LEMMA-LLAMA-3-8B | 🤗 <a href="https://huggingface.co/panzs19/LEMMA-LLAMA-3-8B" target="_blank">HF Link</a> | 📃 <a href="" target="_blank">[LEMMA]</a>| **79.2** | **38.3** | <a href="https://www.llama.com/llama3/license/" target="_blank">Llama 3 </a> |
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| LEMMA-LLAMA-3-70B | 🤗 <a href="https://huggingface.co/panzs19/LEMMA-LLAMA-3-70B" target="_blank">HF Link</a> | 📃 <a href="" target="_blank">[LEMMA]</a>| **91.5** | **51.8** | <a href="https://www.llama.com/llama3/license/" target="_blank">Llama 3 </a> |
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## Citation [optional]
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Please cite the paper if you refer to our model, code, data or paper from MetaMath.
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```
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@article{LEMMA,
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title={LEMMA: Learning from Errors for MatheMatical Advancement in LLMs},
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author={Zhuoshi Pan, Yu Li, Honglin Lin, Qizhi Pei, Zinan Tang, Wei Wu, Chenlin Ming, H. Vicky Zhao, Conghui He, Lijun Wu},
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journal={arXiv preprint arXiv:2503.17439},
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year={2025}
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}
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```
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