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Large Reasoning Models (LRMs) demonstrate strong performance on complex tasks but often suffer from excessive verbosity, known as "overthinking." Existing solutions via reinforcement learning (RL) typically penalize generated tokens to…

Computation and Language · Computer Science 2025-12-02 Canhui Wu , Qiong Cao , Chang Li , Zhenfang Wang , Chao Xue , Yuwei Fan , Wei Xi , Xiaodong He

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

Step-by-step verifiers -- also known as process reward models (PRMs) -- are a key ingredient for test-time scaling. PRMs require step-level supervision, making them expensive to train. This work aims to build data-efficient PRMs as…

Machine Learning · Computer Science 2025-12-09 Muhammad Khalifa , Rishabh Agarwal , Lajanugen Logeswaran , Jaekyeom Kim , Hao Peng , Moontae Lee , Honglak Lee , Lu Wang

We study self-rewarding reasoning large language models (LLMs), which can simultaneously generate step-by-step reasoning and evaluate the correctness of their outputs during the inference time-without external feedback. This integrated…

Artificial Intelligence · Computer Science 2025-02-28 Wei Xiong , Hanning Zhang , Chenlu Ye , Lichang Chen , Nan Jiang , Tong Zhang

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

Reasoning has substantially improved the performance of large language models (LLMs) on complicated tasks. Central to the current reasoning studies, Process Reward Models (PRMs) offer a fine-grained evaluation of intermediate reasoning…

Machine Learning · Computer Science 2025-11-05 Qi Cao , Ruiyi Wang , Ruiyi Zhang , Sai Ashish Somayajula , Pengtao Xie

Recent studies on post-training large language models (LLMs) for reasoning through reinforcement learning (RL) typically focus on tasks that can be accurately verified and rewarded, such as solving math problems. In contrast, our research…

Computation and Language · Computer Science 2025-05-29 Ang Lv , Ruobing Xie , Xingwu Sun , Zhanhui Kang , Rui Yan

In multi-hop question answering (MHQA) tasks, Chain of Thought (CoT) improves the quality of generation by guiding large language models (LLMs) through multi-step reasoning, and Knowledge Graphs (KGs) reduce hallucinations via semantic…

Computation and Language · Computer Science 2025-12-02 Xinyi Wang , Yiping Song , Zhiliang Tian , Bo Liu , Tingjin Luo , Minlie Huang

Large Language Models (LLMs) consistently benefit from scaled Chain-of-Thought (CoT) reasoning, but also suffer from heavy computational overhead. To address this issue, efficient reasoning aims to incentivize short yet accurate thinking…

Computation and Language · Computer Science 2026-03-23 Taiqiang Wu , Zenan Xu , Bo Zhou , Ngai Wong

Large Language Models (LLMs) have shown remarkable reasoning capabilities through Reinforcement Learning with Verifiable Rewards (RLVR) methods. However, a key limitation of existing approaches is that rewards defined at the full trajectory…

Machine Learning · Computer Science 2025-09-30 Zhicheng Yang , Zhijiang Guo , Yinya Huang , Xiaodan Liang , Yiwei Wang , Jing Tang

Test-time scaling (TTS) for large language models (LLMs) has thus far fallen into two largely separate paradigms: (1) reinforcement learning (RL) methods that optimize sparse outcome-based rewards, yet suffer from instability and low sample…

Machine Learning · Computer Science 2026-02-10 Can Jin , Yang Zhou , Qixin Zhang , Hongwu Peng , Di Zhang , Zihan Dong , Marco Pavone , Ligong Han , Zhang-Wei Hong , Tong Che , Dimitris N. Metaxas

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…

General reasoning represents a long-standing and formidable challenge in artificial intelligence. Recent breakthroughs, exemplified by large language models (LLMs) and chain-of-thought prompting, have achieved considerable success on…

Computation and Language · Computer Science 2026-01-06 DeepSeek-AI , Daya Guo , Dejian Yang , Haowei Zhang , Junxiao Song , Peiyi Wang , Qihao Zhu , Runxin Xu , Ruoyu Zhang , Shirong Ma , Xiao Bi , Xiaokang Zhang , Xingkai Yu , Yu Wu , Z. F. Wu , Zhibin Gou , Zhihong Shao , Zhuoshu Li , Ziyi Gao , Aixin Liu , Bing Xue , Bingxuan Wang , Bochao Wu , Bei Feng , Chengda Lu , Chenggang Zhao , Chengqi Deng , Chenyu Zhang , Chong Ruan , Damai Dai , Deli Chen , Dongjie Ji , Erhang Li , Fangyun Lin , Fucong Dai , Fuli Luo , Guangbo Hao , Guanting Chen , Guowei Li , H. Zhang , Han Bao , Hanwei Xu , Haocheng Wang , Honghui Ding , Huajian Xin , Huazuo Gao , Hui Qu , Hui Li , Jianzhong Guo , Jiashi Li , Jiawei Wang , Jingchang Chen , Jingyang Yuan , Junjie Qiu , Junlong Li , J. L. Cai , Jiaqi Ni , Jian Liang , Jin Chen , Kai Dong , Kai Hu , Kaige Gao , Kang Guan , Kexin Huang , Kuai Yu , Lean Wang , Lecong Zhang , Liang Zhao , Litong Wang , Liyue Zhang , Lei Xu , Leyi Xia , Mingchuan Zhang , Minghua Zhang , Minghui Tang , Meng Li , Miaojun Wang , Mingming Li , Ning Tian , Panpan Huang , Peng Zhang , Qiancheng Wang , Qinyu Chen , Qiushi Du , Ruiqi Ge , Ruisong Zhang , Ruizhe Pan , Runji Wang , R. J. Chen , R. L. Jin , Ruyi Chen , Shanghao Lu , Shangyan Zhou , Shanhuang Chen , Shengfeng Ye , Shiyu Wang , Shuiping Yu , Shunfeng Zhou , Shuting Pan , S. S. Li , Shuang Zhou , Shaoqing Wu , Shengfeng Ye , Tao Yun , Tian Pei , Tianyu Sun , T. Wang , Wangding Zeng , Wanjia Zhao , Wen Liu , Wenfeng Liang , Wenjun Gao , Wenqin Yu , Wentao Zhang , W. L. Xiao , Wei An , Xiaodong Liu , Xiaohan Wang , Xiaokang Chen , Xiaotao Nie , Xin Cheng , Xin Liu , Xin Xie , Xingchao Liu , Xinyu Yang , Xinyuan Li , Xuecheng Su , Xuheng Lin , X. Q. Li , Xiangyue Jin , Xiaojin Shen , Xiaosha Chen , Xiaowen Sun , Xiaoxiang Wang , Xinnan Song , Xinyi Zhou , Xianzu Wang , Xinxia Shan , Y. K. Li , Y. Q. Wang , Y. X. Wei , Yang Zhang , Yanhong Xu , Yao Li , Yao Zhao , Yaofeng Sun , Yaohui Wang , Yi Yu , Yichao Zhang , Yifan Shi , Yiliang Xiong , Ying He , Yishi Piao , Yisong Wang , Yixuan Tan , Yiyang Ma , Yiyuan Liu , Yongqiang Guo , Yuan Ou , Yuduan Wang , Yue Gong , Yuheng Zou , Yujia He , Yunfan Xiong , Yuxiang Luo , Yuxiang You , Yuxuan Liu , Yuyang Zhou , Y. X. Zhu , Yanhong Xu , Yanping Huang , Yaohui Li , Yi Zheng , Yuchen Zhu , Yunxian Ma , Ying Tang , Yukun Zha , Yuting Yan , Z. Z. Ren , Zehui Ren , Zhangli Sha , Zhe Fu , Zhean Xu , Zhenda Xie , Zhengyan Zhang , Zhewen Hao , Zhicheng Ma , Zhigang Yan , Zhiyu Wu , Zihui Gu , Zijia Zhu , Zijun Liu , Zilin Li , Ziwei Xie , Ziyang Song , Zizheng Pan , Zhen Huang , Zhipeng Xu , Zhongyu Zhang , Zhen 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

Reinforcement learning (RL) has recently become the dominant paradigm for strengthening the reasoning abilities of large language models (LLMs). Yet the rule-based reward functions commonly used on mathematical or programming benchmarks…

Artificial Intelligence · Computer Science 2025-09-09 Haoyang He , Zihua Rong , Kun Ji , Chenyang Li , Qing Huang , Chong Xia , Lan Yang , Honggang 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

The growing disparity between the exponential scaling of computational resources and the finite growth of high-quality text data now constrains conventional scaling approaches for large language models (LLMs). To address this challenge, we…

Large language models (LLMs) excel at many supervised tasks but often struggle with structured reasoning in unfamiliar settings. This discrepancy suggests that standard fine-tuning pipelines may instill narrow, domain-specific heuristics…

Machine Learning · Computer Science 2025-06-06 Zhen Hao Wong , Jingwen Deng , Runming He , Zirong Chen , Qijie You , Hejun Dong , Hao Liang , Chengyu Shen , Bin Cui , Wentao Zhang

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

The Process Reward Model (PRM) plays a crucial role in mathematical reasoning tasks, requiring high-quality supervised process data. However, we observe that reasoning steps generated by Large Language Models (LLMs) often fail to exhibit…

Artificial Intelligence · Computer Science 2025-08-25 Yulan Hu , Sheng Ouyang , Jinman Zhao , Yong Liu