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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 supervision, i.e., evaluating each step, is critical for complex large language model (LLM) reasoning and test-time searching with increased inference compute. Existing approaches, represented by process reward models (PRMs),…

Computation and Language · Computer Science 2025-03-07 Wenxiang Chen , Wei He , Zhiheng Xi , Honglin Guo , Boyang Hong , Jiazheng Zhang , Rui Zheng , Nijun Li , Tao Gui , Yun Li , Qi Zhang , Xuanjing Huang

Large Language Models (LLMs) have achieved significant advances in reasoning tasks. A key approach is tree-based search with verifiers, which expand candidate reasoning paths and use reward models to guide pruning and selection. Although…

Artificial Intelligence · Computer Science 2025-10-01 Yingqian Cui , Zhenwei Dai , Pengfei He , Bing He , Hui Liu , Xianfeng Tang , Jingying Zeng , Suhang Wang , Yue Xing , Jiliang Tang , Benoit Dumoulin

Recent neural theorem provers use reinforcement learning with verifiable rewards (RLVR), where proof assistants provide binary correctness signals. While verifiable rewards are cheap and scalable without reward hacking issues, they suffer…

Artificial Intelligence · Computer Science 2026-05-12 Zeynel A. Uluşan , Burak S. Akbudak , Can S. Erer , Gözde Gül Şahin

Process Reward Models (PRMs) enhance reasoning ability of LLMs by providing step-level supervision. However, their widespread adoption is limited due to expensive manual step-level annotation and poor generalization of static training data…

Machine Learning · Computer Science 2025-12-01 Gurusha Juneja , Deepak Nathani , William Yang Wang

Reward models have been increasingly critical for improving the reasoning capability of LLMs. Existing research has shown that a well-trained reward model can substantially improve model performances at inference time via search. However,…

Machine Learning · Computer Science 2024-11-28 Jiaxuan Gao , Shusheng Xu , Wenjie Ye , Weilin Liu , Chuyi He , Wei Fu , Zhiyu Mei , Guangju Wang , Yi Wu

Process Reward Models (PRMs), which assign fine-grained scores to intermediate reasoning steps within a solution trajectory, have emerged as a promising approach to enhance the reasoning quality of Large Language Models (LLMs). However,…

Computation and Language · Computer Science 2026-01-07 Lingyin Zhang , Jun Gao , Xiaoxue Ren , Ziqiang Cao

Process reward models (PRMs) provide fine-grained supervision for reasoning, but reliable PRMs often require step annotations or heavy verification pipelines, making them costly to scale and refresh during online RL. Implicit PRMs reduce…

Computation and Language · Computer Science 2026-05-29 Shiping Gao , Hongzhan Chen , Xiaojun Quan , Qifan Wang , Lifu Huang

Process Reward Modeling (PRM) is critical for complex reasoning and decision-making tasks where the accuracy of intermediate steps significantly influences the overall outcome. Existing PRM approaches, primarily framed as classification…

Computation and Language · Computer Science 2025-02-12 Wendi Li , Yixuan Li

Process reward models (PRMs) play a central role in guiding inference-time scaling algorithms for large language models (LLMs). However, we observe that even state-of-the-art PRMs can be poorly calibrated. Specifically, they tend to…

Machine Learning · Statistics 2025-11-10 Young-Jin Park , Kristjan Greenewald , Kaveh Alim , Hao Wang , Navid Azizan

Process Reward Models (PRMs) are crucial for guiding Large Language Models (LLMs) in complex scenarios by providing dense reward signals. However, existing PRMs primarily rely on heuristic approaches, which struggle with cross-domain…

Computation and Language · Computer Science 2025-07-25 Zhangyue Yin , Qiushi Sun , Zhiyuan Zeng , Qinyuan Cheng , Xipeng Qiu , Xuanjing Huang

An impediment to using Large Language Models (LLMs) for reasoning output verification is that LLMs struggle to reliably identify errors in thinking traces, particularly in long outputs, domains requiring expert knowledge, and problems…

Computation and Language · Computer Science 2026-02-09 Kate Sanders , Nathaniel Weir , Sapana Chaudhary , Kaj Bostrom , Huzefa Rangwala

Reinforcement learning with verifiable rewards (RLVR) has demonstrated significant success in enhancing mathematical reasoning and coding performance of large language models (LLMs), especially when structured reference answers are…

Computation and Language · Computer Science 2025-04-02 Yi Su , Dian Yu , Linfeng Song , Juntao Li , Haitao Mi , Zhaopeng Tu , Min Zhang , Dong Yu

Process reward models (PRMs) have demonstrated significant efficacy in enhancing the mathematical reasoning capabilities of large language models (LLMs) by leveraging test-time scaling (TTS). However, while most PRMs exhibit substantial…

Artificial Intelligence · Computer Science 2025-09-30 Haotian Zhang , Liu Liu , Baosheng Yu , Jiayan Qiu , Likang Xiao , Yanwei Ren , Quan Chen , Xianglong Liu

The rapid advancement of Large Vision Language Models (LVLMs) has demonstrated excellent abilities in various visual tasks. Building upon these developments, the thinking with images paradigm has emerged, enabling models to dynamically edit…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Yujin Zhou , Pengcheng Wen , Jiale Chen , Boqin Yin , Han Zhu , Jiaming Ji , Juntao Dai , Chi-Min Chan , Sirui Han

Current techniques for post-training Large Language Models (LLMs) rely either on costly human supervision or on external verifiers to boost performance on tasks such as mathematical reasoning and code generation. However, as LLMs improve…

Computation and Language · Computer Science 2026-01-21 Mukesh Ghimire , Aosong Feng , Liwen You , Youzhi Luo , Fang Liu , Xuan Zhu

Reinforcement learning with verifiable rewards (RLVR) has achieved remarkable success in logical reasoning tasks, yet whether large language model (LLM) alignment requires fundamentally different approaches remains unclear. Given the…

Artificial Intelligence · Computer Science 2026-03-12 Zhaowei Zhang , Xiaohan Liu , Xuekai Zhu , Junchao Huang , Ceyao Zhang , Zhiyuan Feng , Yaodong Yang , Xiaoyuan Yi , Xing Xie

Retrieval-Augmented Generation (RAG) systems for Large Language Models (LLMs) hold promise in knowledge-intensive tasks but face limitations in complex multi-step reasoning. While recent methods have integrated RAG with chain-of-thought…

Computation and Language · Computer Science 2025-01-15 Zhongxiang Sun , Qipeng Wang , Weijie Yu , Xiaoxue Zang , Kai Zheng , Jun Xu , Xiao Zhang , Song Yang , Han Li

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 development of reasoning capabilities represents a critical frontier in large language models (LLMs) research, where reinforcement learning (RL) and process reward models (PRMs) have emerged as predominant methodological frameworks.…

Artificial Intelligence · Computer Science 2025-12-09 Zhangying Feng , Qianglong Chen , Ning Lu , Yongqian Li , Siqi Cheng , Shuangmu Peng , Duyu Tang , Shengcai Liu , Zhirui Zhang