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+ We have released HSPMATH-7B, a supervised fine-tuning model for MATH.
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+ We constructed a supervised fine-tuning dataset of 75k samples through a simple yet effective method based on the MetaMathQA dataset.
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+ After supervised fine-tuning the Llemma-7B model, we achieved a strong performance of 64.3% on the GSM8K dataset.
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+ The dataset construction method involves introducing a hint before the solution. For details, refer to the paper: [Hint-before-Solving Prompting: Guiding LLMs to Effectively Utilize Encoded Knowledge](https://arxiv.org/pdf/2402.14310.pdf).
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+ A comparison of performances with methods of similar model sizes (7B) is shown in the table below:
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+ | Open-source Model (7B) | GSM8k |
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+ |-----------|------------|
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+ |MetaMath-Mistral-7B|77.7 |
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+ |MetaMath-7B-V1.0| 66.5 |
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+ |HSPMATH-7B| **64.3** |
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+ |Llemma-7B (SFT)| 58.7 |
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+ |WizardMath-7B| 54.9 |
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+ |RFT-7B |50.3|
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+ |Qwen-7b|47.84
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+ |Mistral-7b|37.83 |
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+ |Yi-6b| 32.6 |
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+ |ChatGLM-6B| 32.4 |
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+ |LLaMA2-7b|12.96 |
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+ |Close-source Model|GSM8k|
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+ |-----------|------------|
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+ |GPT-3.5 | 57.1 |
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+ |PaLM-540B |56.5 |
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+ |Minerva-540B |58.8 |
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+ |Minerva-62B |52.4 |
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+ |Chinchilla-70B |43.7|
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+ Note:
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+ - The MetaMath family models is fine-tuned on 400k samples, which is more than 5.3 times the size of our training set.
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+ - Llemma-7B (SFT) and our model HSPMATH-7B are supervised fine-tuning (SFT) on the same dataset but without the Hint texts.
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+ - We found that by introducing hints, the SFT model HSPMATH-7B improved by 5.6%.