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Main Authors: Yang, Shu-Xun, Wang, Cunxiang, Wang, Yidong, Gu, Xiaotao, Huang, Minlie, Tang, Jie
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.10105
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author Yang, Shu-Xun
Wang, Cunxiang
Wang, Yidong
Gu, Xiaotao
Huang, Minlie
Tang, Jie
author_facet Yang, Shu-Xun
Wang, Cunxiang
Wang, Yidong
Gu, Xiaotao
Huang, Minlie
Tang, Jie
contents Evaluating mathematical capabilities is critical for assessing the overall performance of large language models (LLMs). However, existing evaluation methods often focus solely on final answers, resulting in highly inaccurate and uninterpretable evaluation outcomes, as well as their failure to assess proof or open-ended problems. To address these issues, we propose a novel mathematical process evaluation agent based on Tree-of-Error, called StepMathAgent. This agent incorporates four internal core operations: logical step segmentation, step scoring, score aggregation and error tree generation, along with four external extension modules: difficulty calibration, simplicity evaluation, completeness validation and format assessment. Furthermore, we introduce StepMathBench, a benchmark comprising 1,000 step-divided process evaluation instances, derived from 200 high-quality math problems grouped by problem type, subject category and difficulty level. Experiments on StepMathBench show that our proposed StepMathAgent outperforms all state-of-the-art methods, demonstrating human-aligned evaluation preferences and broad applicability to various scenarios. Our data and code are available at https://github.com/SHU-XUN/StepMathAgent.
format Preprint
id arxiv_https___arxiv_org_abs_2503_10105
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle StepMathAgent: A Step-Wise Agent for Evaluating Mathematical Processes through Tree-of-Error
Yang, Shu-Xun
Wang, Cunxiang
Wang, Yidong
Gu, Xiaotao
Huang, Minlie
Tang, Jie
Artificial Intelligence
Evaluating mathematical capabilities is critical for assessing the overall performance of large language models (LLMs). However, existing evaluation methods often focus solely on final answers, resulting in highly inaccurate and uninterpretable evaluation outcomes, as well as their failure to assess proof or open-ended problems. To address these issues, we propose a novel mathematical process evaluation agent based on Tree-of-Error, called StepMathAgent. This agent incorporates four internal core operations: logical step segmentation, step scoring, score aggregation and error tree generation, along with four external extension modules: difficulty calibration, simplicity evaluation, completeness validation and format assessment. Furthermore, we introduce StepMathBench, a benchmark comprising 1,000 step-divided process evaluation instances, derived from 200 high-quality math problems grouped by problem type, subject category and difficulty level. Experiments on StepMathBench show that our proposed StepMathAgent outperforms all state-of-the-art methods, demonstrating human-aligned evaluation preferences and broad applicability to various scenarios. Our data and code are available at https://github.com/SHU-XUN/StepMathAgent.
title StepMathAgent: A Step-Wise Agent for Evaluating Mathematical Processes through Tree-of-Error
topic Artificial Intelligence
url https://arxiv.org/abs/2503.10105