Retrieval-Augmented Process Reward Model for Generalizable Mathematical Reasoning
Jiachen Zhu, Congmin Zheng, Jianghao Lin, Kounianhua Du, Ying Wen, Yong Yu, Jun Wang, Weinan Zhang
Abstract
While large language models (LLMs) have significantly advanced mathematical reasoning, Process Reward Models (PRMs) have been developed to evaluate the logical validity of reasoning steps. However, PRMs still struggle with out-of-distribution (OOD) challenges. This paper identifies the OOD issues including step OOD, arising from differences in reasoning patterns across model types and sizes, and question OOD, due to dataset shifts between training and real-world problems. To address these issues, we introduce Retrieval-Augmented Process Reward Model (RetrievalPRM), a novel framework designed to tackle these OOD issues. By utilizing a two-stage retrieval-enhanced mechanism, RetrievalPRM retrieves semantically similar questions and steps for PRM as a warmup to stimulate its potential to judge target steps, improving generalization and reasoning consistency across different models and problem types. Our extensive experiments demonstrate that RetrievalPRM outperforms existing baselines across multiple real-world datasets. Our open-source contributions include a retrieval-enhanced dataset, a tuning framework for PRM training, and the RetreivalPRM model, establishing a new standard for PRM performance.- Anthology ID:
- 2025.findings-acl.444
- Volume:
- Findings of the Association for Computational Linguistics: ACL 2025
- Month:
- July
- Year:
- 2025
- Address:
- Vienna, Austria
- Editors:
- Wanxiang Che, Joyce Nabende, Ekaterina Shutova, Mohammad Taher Pilehvar
- Venue:
- Findings
- SIG:
- Publisher:
- Association for Computational Linguistics
- Note:
- Pages:
- 8453–8468
- Language:
- URL:
- https://preview.aclanthology.org/display_plenaries/2025.findings-acl.444/
- DOI:
- Cite (ACL):
- Jiachen Zhu, Congmin Zheng, Jianghao Lin, Kounianhua Du, Ying Wen, Yong Yu, Jun Wang, and Weinan Zhang. 2025. Retrieval-Augmented Process Reward Model for Generalizable Mathematical Reasoning. In Findings of the Association for Computational Linguistics: ACL 2025, pages 8453–8468, Vienna, Austria. Association for Computational Linguistics.
- Cite (Informal):
- Retrieval-Augmented Process Reward Model for Generalizable Mathematical Reasoning (Zhu et al., Findings 2025)
- PDF:
- https://preview.aclanthology.org/display_plenaries/2025.findings-acl.444.pdf