arXiv:2412.06559cs.AIcs.CL2024-12ACL被引 292

评测大模型识别数学推理错误的能力,发现通用模型表现不如专用模型。

ProcessBench: Identifying Process Errors in Mathematical Reasoning

  • 构建3400个竞赛级数学题的推理错误检测数据集
  • QwQ-32B-Preview在开源模型中表现接近GPT-4o但落后于o1-mini
  • 提示词法批评模型比现有过程奖励模型更有效

随着语言模型在解数学题时常出错,自动化识别推理过程中的错误变得愈发重要。本文提出ProcessBench,用于衡量模型识别数学推理中错误步骤的能力。该数据集包含3,400个测试用例,主要聚焦于竞赛和奥数级别题目,每个案例均提供逐步解答,并由人工专家标注错误位置。要求模型识别出首个含错步骤,或判断所有步骤正确。我们在ProcessBench上对两类模型进行了评估:过程奖励模型(PRMs)与批评模型(通过提示通用语言模型逐步批判解答)。主要发现:(1)现有PRM在超出GSM8K和MATH难度的问题上泛化能力差,表现低于提示式批评模型及在PRM800K数据集上微调的自研PRM;(2)最佳开源模型QwQ-32B-Preview的批评能力接近专有模型GPT-4o,但仍落后于推理专用模型o1-mini。我们希望ProcessBench能推动未来对推理过程评估的研究,为语言模型的可扩展监督铺路。

原文摘要 · Abstract (English)

As language models regularly make mistakes when solving math problems, automated identification of errors in the reasoning process becomes increasingly significant for their scalable oversight. In this paper, we introduce ProcessBench for measuring the ability to identify erroneous steps in mathematical reasoning. It consists of 3,400 test cases, primarily focused on competition- and Olympiad-level math problems. Each test case contains a step-by-step solution with error location annotated by human experts. Models are required to identify the earliest step that contains an error, or conclude that all steps are correct. We conduct extensive evaluation on ProcessBench, involving two types of models: process reward models (PRMs) and critic models, where for the latter we prompt general language models to critique each solution step by step. We draw two main observations: (1) Existing PRMs typically fail to generalize to more challenging math problems beyond GSM8K and MATH. They underperform both critic models (i.e., prompted general language models) and our own trained PRM that is straightforwardly fine-tuned on the PRM800K dataset. (2) The best open-source model, QwQ-32B-Preview, has demonstrated the critique capability competitive with the proprietary model GPT-4o, despite that it still lags behind the reasoning-specialized o1-mini. We hope ProcessBench can foster future research in reasoning process assessment, paving the way toward scalable oversight of language models.

数学推理错误检测模型评估

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