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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

Recent advancements in reasoning-focused language models such as OpenAI's O1 and DeepSeek-R1 have shown that scaling test-time computation-through chain-of-thought reasoning and iterative exploration-can yield substantial improvements on…

Test-time compute scaling allocates inference computation uniformly, uses fixed sampling strategies, and applies verification only for reranking. In contrast, we propose a verifier-guided adaptive framework treating reasoning as iterative…

Computation and Language · Computer Science 2026-04-08 Ahsan Bilal , Ahmed Mohsin , Muhammad Umer , Ali Subhan , Hassan Rizwan , Ayesha Mohsin , Dean Hougen

Large language models (LLMs) have shown strong performance in many reasoning benchmarks. However, recent studies have pointed to memorization, rather than generalization, as one of the leading causes for such performance. LLMs, in fact, are…

Computation and Language · Computer Science 2025-09-19 Xingwei Tan , Marco Valentino , Mahmud Akhter , Maria Liakata , Nikolaos Aletras

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 studies show that Large Language Models (LLMs) achieve strong reasoning capabilities through supervised fine-tuning or reinforcement learning. However, a key approach, the Process Reward Model (PRM), suffers from reward hacking,…

Computation and Language · Computer Science 2026-04-10 Teng Wang , Zhangyi Jiang , Zhenqi He , Shenyang Tong , Wenhan Yang , Yanan Zheng , Zeyu Li , Zifan He , Hailei Gong , Zewen Ye , Shengjie Ma , Jianping Zhang

Achieving both accuracy and diverse reasoning remains challenging for Large Language Models (LLMs) in complex domains like mathematics. A key bottleneck is evaluating intermediate reasoning steps to guide generation without costly human…

Machine Learning · Computer Science 2025-10-14 Adam Younsi , Ahmed Attia , Abdalgader Abubaker , Mohamed El Amine Seddik , Hakim Hacid , Salem Lahlou

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

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

Despite significant advancements in Large Language Models (LLMs), developing advanced reasoning capabilities in LLMs remains a key challenge. Process Reward Models (PRMs) have demonstrated exceptional promise in enhancing reasoning by…

Computation and Language · Computer Science 2025-06-26 Miao Peng , Nuo Chen , Zongrui Suo , Jia Li

Process Reward Models (PRMs) have become essential for improving Large Language Models (LLMs) via test-time scaling, yet their effectiveness in coding remains limited due to the lack of meaningful step decompositions in code and the noise…

Machine Learning · Computer Science 2025-12-18 Ruiyi Zhang , Peijia Qin , Qi Cao , Pengtao Xie

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

Currently, process reward models (PRMs) have exhibited remarkable potential for test-time scaling. Since large language models (LLMs) regularly generate flawed intermediate reasoning steps when tackling a broad spectrum of reasoning and…

Artificial Intelligence · Computer Science 2026-05-08 Zhouhao Sun , Xuan Zhang , Xiao Ding , Bibo Cai , Li Du , Kai Xiong , Xinran Dai , Fei Zhang , weidi tang , Zhiyuan Kan , Yang Zhao , Bing Qin , Ting Liu

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

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…

Artificial Intelligence · Computer Science 2025-02-21 Jiachen Zhu , Congmin Zheng , Jianghao Lin , Kounianhua Du , Ying Wen , Yong Yu , Jun Wang , Weinan Zhang

Process Reward Models (PRMs) have proven effective at enhancing mathematical reasoning for Large Language Models (LLMs) by leveraging increased inference-time computation. However, they are predominantly trained on mathematical data and…

Large language models (LLMs) have exhibited extraordinary performance in a variety of tasks while it remains challenging for them to solve complex multi-step tasks as agents. In practice, agents sensitive to the outcome of certain key steps…

Artificial Intelligence · Computer Science 2025-05-28 Zilong Wang , Jingfeng Yang , Sreyashi Nag , Samarth Varshney , Xianfeng Tang , Haoming Jiang , Jingbo Shang , Sheikh Muhammad Sarwar

While chain-of-thought prompting with Best-of-N (BoN) selection has become popular for mathematical reasoning in large language models (LLMs), its linear structure fails to capture the branching and exploratory nature of complex…

Machine Learning · Computer Science 2025-10-24 Tristan Cinquin , Geoff Pleiss , Agustinus Kristiadi

Reinforcement learning with human feedback for aligning large language models (LLMs) trains a reward model typically using ranking loss with comparison pairs.However, the training procedure suffers from an inherent problem: the uncontrolled…

Computation and Language · Computer Science 2024-09-19 Hang Zhou , Chenglong Wang , Yimin Hu , Tong Xiao , Chunliang Zhang , Jingbo Zhu

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