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Large Language Models (LLMs) have demonstrated remarkable progress in complex reasoning tasks through both post-training and test-time scaling laws. While prevalent test-time scaling approaches are often realized by using external reward…

Machine Learning · Computer Science 2025-10-31 Fuxiang Zhang , Jiacheng Xu , Chaojie Wang , Ce Cui , Yang Liu , Bo An

Improving the multi-step reasoning ability of Large Language Models (LLMs) is a critical yet challenging task. The dominant paradigm, outcome-supervised reinforcement learning (RLVR), rewards only correct final answers, often propagating…

Artificial Intelligence · Computer Science 2025-10-14 Beining Wang , Weihang Su , Hongtao Tian , Tao Yang , Yujia Zhou , Ting Yao , Qingyao Ai , Yiqun Liu

Large Language Models (LLMs) show great promise in complex reasoning, with Reinforcement Learning with Verifiable Rewards (RLVR) being a key enhancement strategy. However, a prevalent issue is ``superficial self-reflection'', where models…

Artificial Intelligence · Computer Science 2025-05-20 Xiaoyuan Liu , Tian Liang , Zhiwei He , Jiahao Xu , Wenxuan Wang , Pinjia He , Zhaopeng Tu , Haitao Mi , Dong Yu

The central challenge of reinforcement learning for reasoning lies not only in the sparsity of outcome-level supervision, but more fundamentally in how to transform feedback provided only at the end of a sequence into fine-grained learning…

Machine Learning · Computer Science 2026-05-26 Fei Ding , Yongkang Zhang , Runhao Liu , Yuhao Liao , Zijian Zeng , Sibo wang , Huiming Yang

Reinforcement Learning with Verifiable Rewards (RLVR) has recently demonstrated notable success in enhancing the reasoning performance of large language models (LLMs), particularly on mathematics and programming tasks. Similar to how…

Artificial Intelligence · Computer Science 2025-11-25 Yang Yue , Zhiqi Chen , Rui Lu , Andrew Zhao , Zhaokai Wang , Yang Yue , Shiji Song , Gao Huang

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

Through reinforcement learning (RL) with outcome correctness rewards, large reasoning models (LRMs) with scaled inference computation have demonstrated substantial success on complex reasoning tasks. However, the one-sided reward, focused…

Computation and Language · Computer Science 2025-11-21 Jiashu Yao , Heyan Huang , Shuang Zeng , Chuwei Luo , WangJie You , Jie Tang , Qingsong Liu , Yuhang Guo , Yangyang Kang

Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a key paradigm for post-training Large Language Models (LLMs), particularly for complex reasoning tasks. However, vanilla RLVR training has been shown to improve…

Computation and Language · Computer Science 2025-12-16 Xiao Liang , Zhongzhi Li , Yeyun Gong , Yelong Shen , Ying Nian Wu , Zhijiang Guo , Weizhu Chen

Process Reward Models (PRMs) are a powerful mechanism for steering large language model reasoning by providing fine-grained, step-level supervision. However, this effectiveness comes at a significant cost: PRMs require expert annotations…

Machine Learning · Computer Science 2026-05-12 Artyom Gadetsky , Maxim Kodryan , Siba Smarak Panigrahi , Hang Guo , Maria Brbic

Process reward models (PRMs) rely on high-quality process supervision data, yet existing construction methods often provide limited control over error location, error type, and trajectory consistency. We propose a controllable and…

Artificial Intelligence · Computer Science 2026-05-05 Yinghui Chi , Lucien Wang

Recent advances in reinforcement learning with verifiable rewards (RLVR) show that large language models enhance their reasoning abilities when trained with verifiable signals. However, due to reward sparsity, effectiveness depends heavily…

Computation and Language · Computer Science 2026-01-27 Sanghwan Bae , Jiwoo Hong , Min Young Lee , Hanbyul Kim , JeongYeon Nam , Donghyun Kwak

Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a powerful paradigm for facilitating the self-improvement of large language models (LLMs), particularly in the domain of complex reasoning tasks. However,…

Machine Learning · Computer Science 2025-07-17 Ziru Liu , Cheng Gong , Xinyu Fu , Yaofang Liu , Ran Chen , Shoubo Hu , Suiyun Zhang , Rui Liu , Qingfu Zhang , Dandan Tu

Reinforcement Learning with Verifiable Rewards (RLVR) improves LLM reasoning, yet growing evidence indicates an exploration ceiling: it often reweights existing solution traces rather than discovering new strategies, limiting gains under…

Machine Learning · Computer Science 2026-03-03 Bizhe Bai , Xinyue Wang , Peng Ye , Tao Chen

Vision-Language-Action (VLA) models aim to unify perception, language understanding, and action generation, offering strong cross-task and cross-scene generalization with broad impact on embodied AI. However, current VLA models often lack…

Computer Vision and Pattern Recognition · Computer Science 2025-10-03 Angen Ye , Zeyu Zhang , Boyuan Wang , Xiaofeng Wang , Dapeng Zhang , Zheng Zhu

Large language models (LLMs) are probabilistic in nature and perform more reliably when augmented with external information. As complex queries often require multi-step reasoning over the retrieved information, with no clear or…

Information Retrieval · Computer Science 2026-04-10 Roxana Petcu , Evangelos Kanoulas , Maarten de Rijke

Existing reinforcement learning strategies based on outcome supervision have proven effective in enhancing the performance of large language models(LLMs) for code generation. While reinforcement learning based on process supervision has…

Software Engineering · Computer Science 2025-02-05 Yufan Ye , Ting Zhang , Wenbin Jiang , Hua Huang

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

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…

Reinforcement learning with verifiable rewards (RLVR) improves language model reasoning by using rule-based rewards in verifiable domains such as mathematics and code. However, RLVR leads to limited generalization for open-ended tasks --…

Computation and Language · Computer Science 2025-09-25 Adithya Bhaskar , Xi Ye , Danqi Chen

Recently DeepSeek R1 has shown that reinforcement learning (RL) can substantially improve the reasoning capabilities of Large Language Models (LLMs) through a simple yet effective design. The core of R1 lies in its rule-based reward…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Haozhan Shen , Peng Liu , Jingcheng Li , Chunxin Fang , Yibo Ma , Jiajia Liao , Qiaoli Shen , Zilun Zhang , Kangjia Zhao , Qianqian Zhang , Ruochen Xu , Tiancheng Zhao