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Multi-step reasoning improves the capabilities of large language models (LLMs) but increases the risk of errors propagating through intermediate steps. Process reward models (PRMs) mitigate this by scoring each step individually, enabling…

Computation and Language · Computer Science 2026-03-19 Corentin Royer , Debarun Bhattacharjya , Gaetano Rossiello , Andrea Giovannini , Mennatallah El-Assady

The reliability of large language models (LLMs) during test-time scaling is often assessed with \emph{external verifiers} or \emph{reward models} that distinguish correct reasoning from flawed logic. Prior work generally assumes that…

Reinforcement Learning with Verifiable Rewards (RLVR) improves final-answer accuracy on reasoning tasks, but it does not reliably improve reasoning quality. Because outcome rewards only assess final answers, they also reward spurious…

Machine Learning · Computer Science 2026-05-19 Chenlu Ye , Zhou Yu , Ziji Zhang , Hao Chen , Narayanan Sadagopan , Jing Huang , Tong Zhang , Anurag Beniwal

Process Reward Models (PRMs) have emerged as a promising approach to enhance the reasoning capabilities of large language models (LLMs) by guiding their step-by-step reasoning toward a final answer. However, existing PRMs either treat each…

Machine Learning · Computer Science 2026-03-02 Zheng Zhang , Ziwei Shan , Kaitao Song , Yexin Li , Kan Ren

Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

Complex multi-step reasoning tasks, such as solving mathematical problems or generating code, remain a significant hurdle for even the most advanced large language models (LLMs). Verifying LLM outputs with an Outcome Reward Model (ORM) is a…

Computation and Language · Computer Science 2024-12-13 Liangchen Luo , Yinxiao Liu , Rosanne Liu , Samrat Phatale , Meiqi Guo , Harsh Lara , Yunxuan Li , Lei Shu , Yun Zhu , Lei Meng , Jiao Sun , Abhinav Rastogi

Recent advancements in improving the reasoning capabilities of Large Language Models have underscored the efficacy of Process Reward Models (PRMs) in addressing intermediate errors through structured feedback mechanisms. This study analyzes…

Computation and Language · Computer Science 2025-06-03 Zhengyu Chen , Yudong Wang , Teng Xiao , Ruochen Zhou , Xuesheng Yang , Wei Wang , Zhifang Sui , Jingang Wang

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…

Machine Learning · Computer Science 2026-02-04 Ruiyi Ding , Yongxuan Lv , Xianhui Meng , Jiahe Song , Chao Wang , Chen Jiang , Yuan Cheng

Process reward models (PRMs) provide more nuanced supervision compared to outcome reward models (ORMs) for optimizing policy models, positioning them as a promising approach to enhancing the capabilities of LLMs in complex reasoning tasks.…

Computation and Language · Computer Science 2025-05-30 Hongzhan Chen , Tao Yang , Shiping Gao , Ruijun Chen , Xiaojun Quan , Hongtao Tian , Ting Yao

Process Reward Models (PRMs) aim to improve multi-step reasoning in Large Language Models (LLMs) by supervising intermediate steps and identifying errors. However, building effective PRMs remains challenging due to the lack of scalable,…

Artificial Intelligence · Computer Science 2025-10-17 Yao Zhang , Yu Wu , Haowei Zhang , Weiguo Li , Haokun Chen , Jingpei Wu , Guohao Li , Zhen Han , Volker Tresp

Recent work on reinforcement learning with verifiable rewards (RLVR) has shown that large language models (LLMs) can be substantially improved using outcome-level verification signals, such as unit tests for code or exact-match checks for…

Computation and Language · Computer Science 2026-01-27 Massimiliano Pronesti , Anya Belz , Yufang Hou

We introduce the Entropy-Driven Uncertainty Process Reward Model (EDU-PRM), a novel entropy-driven training framework for process reward modeling that enables dynamic, uncertainty-aligned segmentation of complex reasoning steps, eliminating…

Machine Learning · Computer Science 2026-03-10 Lang Cao , Renhong Chen , Yingtian Zou , Chao Peng , Huacong Xu , Yuxian Wang , Wu Ning , Qian Chen , Mofan Peng , Zijie Chen , Peishuo Su , Yitong Li

Process Reward Models (PRMs) emerge as a promising approach for process supervision in mathematical reasoning of Large Language Models (LLMs), which aim to identify and mitigate intermediate errors in the reasoning processes. However, the…

Computation and Language · Computer Science 2025-06-06 Zhenru Zhang , Chujie Zheng , Yangzhen Wu , Beichen Zhang , Runji Lin , Bowen Yu , Dayiheng Liu , Jingren Zhou , Junyang Lin

Large Language Models (LLMs) increasingly rely on external tools such as search engines to solve complex agentic tasks that require reasoning and external knowledge retrieval. Recently, reinforcement learning with verifiable rewards (RLVR)…

Artificial Intelligence · Computer Science 2025-10-01 Peiran Xu , Zhuohao Li , Xiaoying Xing , Guannan Zhang , Debiao Li , Kunyu Shi

Reinforcement learning (RL) with unit test feedback has enhanced large language models' (LLMs) code generation, but relies on sparse rewards provided only after complete code evaluation, limiting learning efficiency and incremental…

Artificial Intelligence · Computer Science 2025-02-05 Ning Dai , Zheng Wu , Renjie Zheng , Ziyun Wei , Wenlei Shi , Xing Jin , Guanlin Liu , Chen Dun , Liang Huang , Lin Yan

Process Reward Models (PRMs) have emerged as a powerful tool for providing step-level feedback when evaluating the reasoning of Large Language Models (LLMs), which frequently produce chains of thought (CoTs) containing errors even when the…

Computation and Language · Computer Science 2026-04-21 Raffaele Pisano , Roberto Navigli

Process Reward Models (PRMs) have achieved remarkable success in augmenting the reasoning capabilities of Large Language Models (LLMs) within static domains such as mathematics. However, their potential in dynamic data analysis tasks…

Computation and Language · Computer Science 2026-04-28 Zhisong Qiu , Shuofei Qiao , Kewei Xu , Yuqi Zhu , Lun Du , Ningyu Zhang , Huajun Chen

While Multimodal Large Language Models (MLLMs) have achieved impressive progress in vision-language understanding, they still struggle with complex multi-step reasoning, often producing logically inconsistent or partially correct solutions.…

Artificial Intelligence · Computer Science 2025-06-06 Lingxiao Du , Fanqing Meng , Zongkai Liu , Zhixiang Zhou , Ping Luo , Qiaosheng Zhang , Wenqi Shao

Offline imitation learning (offline IL) enables training effective policies without requiring explicit reward annotations. Recent approaches attempt to estimate rewards for unlabeled datasets using a small set of expert demonstrations.…

Machine Learning · Computer Science 2025-11-19 Shengjie Sun , Jiafei Lyu , Runze Liu , Mengbei Yan , Bo Liu , Deheng Ye , Xiu Li

Large language models have demonstrated remarkable capabilities in complex mathematical reasoning tasks, but they inevitably generate errors throughout multi-step solutions. Process-level Reward Models (PRMs) have shown great promise by…

Artificial Intelligence · Computer Science 2025-08-05 Jiuzhou Han , Wray Buntine , Ehsan Shareghi