PRPO: Aligning Process Reward with Outcome Reward in Policy Optimization

Fuente: arXiv
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Autores principales: Ding, Ruiyi, Lv, Yongxuan, Meng, Xianhui, Song, Jiahe, Wang, Chao, Jiang, Chen, Cheng, Yuan
Formato: Preprint
Publicado: 2026
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author Ding, Ruiyi
Lv, Yongxuan
Meng, Xianhui
Song, Jiahe
Wang, Chao
Jiang, Chen
Cheng, Yuan
author_facet Ding, Ruiyi
Lv, Yongxuan
Meng, Xianhui
Song, Jiahe
Wang, Chao
Jiang, Chen
Cheng, Yuan
contents Policy optimization for large language models often suffers from sparse reward signals in multi-step reasoning tasks. Critic-free methods like GRPO assign a single normalized outcome reward to all tokens, providing limited guidance for intermediate reasoning . While Process Reward Models (PRMs) offer dense feedback, they risk premature collapse when used alone, as early low-reward tokens can drive policies toward truncated outputs. We introduce Process Relative Policy Optimization (PRPO), which combines outcome reliability with process-level guidance in a critic-free framework. PRPO segments reasoning sequences based on semantic clues, normalizes PRM scores into token-level advantages, and aligns their distribution with outcome advantages through location-parameter shift. On MATH500, PRPO improves Qwen2.5-Math-1.5B accuracy from 61.2% to 64.4% over GRPO using only eight rollouts and no value network, demonstrating efficient fine-grained credit assignment within critic-free optimization. Code is available at: https://github.com/SchumiDing/srpocode
format Preprint
id arxiv_https___arxiv_org_abs_2601_07182
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle PRPO: Aligning Process Reward with Outcome Reward in Policy Optimization
Ding, Ruiyi
Lv, Yongxuan
Meng, Xianhui
Song, Jiahe
Wang, Chao
Jiang, Chen
Cheng, Yuan
Machine Learning
Artificial Intelligence
I.2.6; I.2.7
Policy optimization for large language models often suffers from sparse reward signals in multi-step reasoning tasks. Critic-free methods like GRPO assign a single normalized outcome reward to all tokens, providing limited guidance for intermediate reasoning . While Process Reward Models (PRMs) offer dense feedback, they risk premature collapse when used alone, as early low-reward tokens can drive policies toward truncated outputs. We introduce Process Relative Policy Optimization (PRPO), which combines outcome reliability with process-level guidance in a critic-free framework. PRPO segments reasoning sequences based on semantic clues, normalizes PRM scores into token-level advantages, and aligns their distribution with outcome advantages through location-parameter shift. On MATH500, PRPO improves Qwen2.5-Math-1.5B accuracy from 61.2% to 64.4% over GRPO using only eight rollouts and no value network, demonstrating efficient fine-grained credit assignment within critic-free optimization. Code is available at: https://github.com/SchumiDing/srpocode
title PRPO: Aligning Process Reward with Outcome Reward in Policy Optimization
topic Machine Learning
Artificial Intelligence
I.2.6; I.2.7
url https://arxiv.org/abs/2601.07182