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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

Formal verification via theorem proving enables the expressive specification and rigorous proof of software correctness, but it is difficult to scale due to the significant manual effort and expertise required. While Large Language Models…

Software Engineering · Computer Science 2025-10-30 Minghai Lu , Zhe Zhou , Danning Xie , Songlin Jia , Benjamin Delaware , Tianyi Zhang

Inference-time scaling through multiple sample generation in combination with Process- or Outcome-Reward Model (PRM or ORM) re-ranking has proven effective for text-based reasoning in large language models. This paper investigates whether…

Computation and Language · Computer Science 2025-10-20 Minghan Wang , Thuy-Trang Vu , Ehsan Shareghi , Gholamreza Haffari

Large Language Models (LLMs) are prone to hallucination, especially during multi-hop and reasoning-intensive tasks such as mathematical problem solving. While Outcome Reward Models verify only final answers, Process Reward Models (PRMs)…

Computation and Language · Computer Science 2025-05-27 Tej Deep Pala , Panshul Sharma , Amir Zadeh , Chuan Li , Soujanya Poria

Inference-time scaling methods rely on Process Reward Models (PRMs), which are often poorly calibrated and overestimate success probabilities. We propose, to our knowledge, the first use of conditional optimal transport for calibrating…

Machine Learning · Computer Science 2026-05-13 Rachel Ma , Dylan Hadfield-Menell , Kristjan Greenewald

Process Reward Models (PRMs) provide step-level supervision to large language models (LLMs), but scaling up training data annotation remains challenging for both humans and LLMs. To address this limitation, we propose an active learning…

Machine Learning · Computer Science 2025-04-16 Keyu Duan , Zichen Liu , Xin Mao , Tianyu Pang , Changyu Chen , Qiguang Chen , Michael Qizhe Shieh , Longxu Dou

Test-time compute scaling, the practice of spending extra computation during inference via repeated sampling, search, or extended reasoning, has become a powerful lever for improving large language model performance. Yet deploying these…

Machine Learning · Computer Science 2026-04-17 Zhiyuan Zhai , Bingcong Li , Bingnan Xiao , Ming Li , Xin Wang

Large Language Model (LLM) reasoning for complex tasks inherently involves a trade-off between solution accuracy and computational efficiency. The subsequent step of verification, while intended to improve performance, further complicates…

Artificial Intelligence · Computer Science 2025-05-20 Jianyuan Zhong , Zeju Li , Zhijian Xu , Xiangyu Wen , Kezhi Li , Qiang Xu

Large reasoning models (LRMs) have recently achieved significant progress in complex reasoning tasks, aided by reinforcement learning with verifiable rewards. However, LRMs often suffer from overthinking, expending excessive computation on…

Artificial Intelligence · Computer Science 2025-08-19 Chuhuai Yue , Chengqi Dong , Yinan Gao , Hang He , Jiajun Chai , Guojun Yin , Wei Lin

Scaling inference-time computation has substantially improved the reasoning capabilities of language models. However, existing methods have significant limitations: serialized chain-of-thought approaches generate overly long outputs,…

Artificial Intelligence · Computer Science 2025-08-19 Jiayi Pan , Xiuyu Li , Long Lian , Charlie Snell , Yifei Zhou , Adam Yala , Trevor Darrell , Kurt Keutzer , Alane Suhr

Reward models play a critical role in guiding large language models toward outputs that align with human expectations. However, an open challenge remains in effectively utilizing test-time compute to enhance reward model performance. In…

Computation and Language · Computer Science 2025-05-21 Jiaxin Guo , Zewen Chi , Li Dong , Qingxiu Dong , Xun Wu , Shaohan Huang , Furu Wei

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

Vision-Language-Action (VLA) models have become a prominent paradigm for embodied intelligence, yet further performance improvements typically rely on scaling up training data and model size -- an approach that is prohibitively expensive…

Robotics · Computer Science 2025-10-15 Mingtong Dai , Lingbo Liu , Yongjie Bai , Yang Liu , Zhouxia Wang , Rui SU , Chunjie Chen , Liang Lin , Xinyu Wu

Multimodal Large Language Models (MLLMs) demonstrate remarkable capabilities but often struggle with complex, multi-step mathematical reasoning, where minor errors in visual perception or logical deduction can lead to complete failure.…

Computation and Language · Computer Science 2025-08-08 Jianghangfan Zhang , Yibo Yan , Kening Zheng , Xin Zou , Song Dai , Xuming Hu

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

Inference-time scaling techniques have shown promise in enhancing the reasoning capabilities of large language models (LLMs). While recent research has primarily focused on training-time optimization, our work highlights inference-time…

Computation and Language · Computer Science 2026-02-12 Jiachun Li , Pengfei Cao , Zhuoran Jin , Yubo Chen , Jiexin Xu , Huaijun Li , Xiaojian Jiang , Kang Liu , Jun Zhao

Mathematical reasoning in large language models has improved substantially with reinforcement learning using verifiable rewards, where final answers can be checked automatically and converted into reliable training signals. Most such…

Machine Learning · Computer Science 2026-04-06 Mohammad Rezaei , Jens Lehmann , Sahar Vahdati

Large reasoning models (LRMs) have exhibited the capacity of enhancing reasoning performance via internal test-time scaling. Building upon this, a promising direction is to further scale test-time compute to unlock even greater reasoning…

Artificial Intelligence · Computer Science 2025-06-10 Jian Wang , Boyan Zhu , Chak Tou Leong , Yongqi Li , Wenjie Li

Enhancing the mathematical reasoning capabilities of Large Language Models (LLMs) is of great scientific and practical significance. Researchers typically employ process-supervised reward models (PRMs) to guide the reasoning process,…

Computation and Language · Computer Science 2025-07-24 Wei Sun , Qianlong Du , Fuwei Cui , Jiajun Zhang

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