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The LEMMA series models are trained on the LEMMA Dataset. 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.

Model Details

Model Description

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Direct Use

The same as Llama-3-8B.

Recommendations

Users (both direct and downstream) should be made aware of the risks, biases and limitations of the model.

Training Details

The LEMMA series models are trained on the LEMMA Dataset using LLaMA-Factory. For more details, please refer to our paper.

Results

Model Checkpoint Paper GSM8k MATH License
LEMMA-LLAMA-3-8B πŸ€— HF Link πŸ“ƒ [LEMMA] 79.2 38.3 Llama 3
LEMMA-LLAMA-3-70B πŸ€— HF Link πŸ“ƒ [LEMMA] 91.5 51.8 Llama 3

Citation [optional]

Please cite the paper if you refer to our model, code, data or paper from MetaMath.

@article{LEMMA,
  title={LEMMA: Learning from Errors for MatheMatical Advancement in LLMs},
  author={Zhuoshi Pan, Yu Li, Honglin Lin, Qizhi Pei, Zinan Tang, Wei Wu, Chenlin Ming, H. Vicky Zhao, Conghui He, Lijun Wu},
  journal={arXiv preprint arXiv:2503.17439},
  year={2025}
}
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