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arXiv 2604.10660cs.CLcs.AIcs.LG

通过对比互信息实现高效的进程奖励建模

Efficient Process Reward Modeling via Contrastive Mutual Information

Department of Electrical and Computer Engineering, Seoul National University(首尔大学电气与计算机工程系);Department of Computer Science and Engineering, Konkuk University(建国大学计算机科学与工程系)

Nakyung Lee, Sangwoo Hong, Jungwoo Lee

AI总结:

本文提出CPMI方法,通过模型内部概率推断步骤监督,减少标注计算负担,提升过程级评估和数学推理准确性。

摘要:

近期研究致力于通过进程奖励模型(PRMs)等验证器模型验证链式思维(CoT)轨迹的中间推理步骤。然而,训练PRM通常需要人工标注员为每个推理步骤分配奖励分数,这既昂贵又耗时。现有自动化方法如蒙特卡洛(MC)估计也因重复LLM rollout而消耗大量计算资源。为克服这些限制,我们提出对比点互信息(CPMI),一种新颖的自动奖励标注方法,利用模型内部概率推断步骤级监督,显著减少标注数据集的计算负担。CPMI量化推理步骤相对于硬负样本增加的互信息,此对比信号作为步骤对最终解决方案的贡献代理,产生可靠奖励。实验结果表明,基于CPMI的标注将数据集构建时间减少84%,token生成减少98%,同时在过程级评估和数学推理基准上实现更高准确性。

英文摘要:

Recent research has devoted considerable effort to verifying the intermediate reasoning steps of chain-of-thought (CoT) trajectories using process reward models (PRMs) and other verifier models. However, training a PRM typically requires human annotators to assign reward scores to each reasoning step, which is both costly and time-consuming. Existing automated approaches, such as Monte Carlo (MC) estimation, also demand substantial computational resources due to repeated LLM rollouts. To overcome these limitations, we propose contrastive pointwise mutual information (CPMI), a novel automatic reward labeling method that leverages the model's internal probability to infer step-level supervision while significantly reducing the computational burden of annotating dataset. CPMI quantifies how much a reasoning step increases the mutual information between the step and the correct target answer relative to hard-negative alternatives. This contrastive signal serves as a proxy for the step's contribution to the final solution and yields a reliable reward. The experimental results show that CPMI-based labeling reduces dataset construction time by 84% and token generation by 98% compared to MC estimation, while achieving higher accuracy on process-level evaluations and mathematical reasoning benchmarks.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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