SIaM: Self-Improving Code-Assisted Mathematical Reasoning of Large Language Models

• URL: http://arxiv.org/abs/2408.15565v1
• Date: Wed, 28 Aug 2024 06:33:03 GMT
• Title: SIaM: Self-Improving Code-Assisted Mathematical Reasoning of Large Language Models
• Authors: Dian Yu, Baolin Peng, Ye Tian, Linfeng Song, Haitao Mi, Dong Yu,
• Abstract summary: We propose a novel paradigm that uses a code-based critic model to guide steps including question-code data construction, quality control, and complementary evaluation. Experiments across both in-domain and out-of-domain benchmarks in English and Chinese demonstrate the effectiveness of the proposed paradigm.
• Score: 54.78329741186446
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: There is a growing trend of teaching large language models (LLMs) to solve mathematical problems through coding. Existing studies primarily focus on prompting powerful, closed-source models to generate seed training data followed by in-domain data augmentation, equipping LLMs with considerable capabilities for code-aided mathematical reasoning. However, continually training these models on augmented data derived from a few datasets such as GSM8K may impair their generalization abilities and restrict their effectiveness to a narrow range of question types. Conversely, the potential of improving such LLMs by leveraging large-scale, expert-written, diverse math question-answer pairs remains unexplored. To utilize these resources and tackle unique challenges such as code response assessment, we propose a novel paradigm that uses a code-based critic model to guide steps including question-code data construction, quality control, and complementary evaluation. We also explore different alignment algorithms with self-generated instruction/preference data to foster continuous improvement. Experiments across both in-domain (up to +5.7%) and out-of-domain (+4.4%) benchmarks in English and Chinese demonstrate the effectiveness of the proposed paradigm.

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