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Reinforcement Learning with Verifiable Rewards (RLVR) demonstrates promising potential in advancing the reasoning capabilities of LLMs. However, its success remains largely confined to mathematical and code domains. This primary limitation…

Machine Learning · Computer Science 2025-06-24 Tianyu Yu , Bo Ji , Shouli Wang , Shu Yao , Zefan Wang , Ganqu Cui , Lifan Yuan , Ning Ding , Yuan Yao , Zhiyuan Liu , Maosong Sun , Tat-Seng Chua

The development of autonomous agents for complex, long-horizon tasks is a central goal in AI. However, dominant training paradigms face a critical limitation: reinforcement learning (RL) methods that optimize solely for final task success…

Machine Learning · Computer Science 2025-07-31 Zijing Zhang , Ziyang Chen , Mingxiao Li , Zhaopeng Tu , Xiaolong Li

Reinforcement learning with verifiable rewards (RLVR) has become a highly effective method for improving the reasoning abilities of Large Language Models (LLMs). Recent research shows that Negative Sample Reinforcement (NSR) -- which…

Machine Learning · Computer Science 2026-05-11 Yash Ingle , Jaival Chauhan , Ankit Yadav , Sudhakar Mishra

Recent extensive research has demonstrated that the enhanced reasoning capabilities acquired by models through Reinforcement Learning with Verifiable Rewards (RLVR) are primarily concentrated within the rank-1 components. Predicated on this…

Machine Learning · Computer Science 2026-05-08 Hao Ye , Jisheng Dang , Junfeng Fang , Bimei Wang , Yizhou Zhang , Ning Lv , Wencan Zhang , Hong Peng , Bin Hu , Tat-Seng Chua

Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

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

Recent advances highlight Reinforcement Learning with Verifiable Rewards (RLVR) as a promising method for enhancing LLMs' capabilities. However, it remains unclear whether the current practice of RLVR truly expands a model's reasoning…

Machine Learning · Computer Science 2026-02-05 Fang Wu , Weihao Xuan , Ximing Lu , Mingjie Liu , Yi Dong , Zaid Harchaoui , Yejin Choi

Reinforcement Learning with Verifiable Reward (RLVR) has proven effective in improving Large Language Model's (LLM) reasoning ability. However, the learning dynamics of RLVR remain underexplored. In this paper, we reveal a counterintuitive…

Machine Learning · Computer Science 2026-05-19 Yulin Chen , He He , Chen Zhao

We show that reinforcement learning with verifiable reward using one training example (1-shot RLVR) is effective in incentivizing the math reasoning capabilities of large language models (LLMs). Applying RLVR to the base model…

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

Reinforcement Learning with Verifiable Reward (RLVR) is empirically shown to notably enhance the reasoning performance of large language models (LLMs), particularly in mathematics and programming. However, the mechanistic role of Sample…

Artificial Intelligence · Computer Science 2026-05-28 Yue Cheng , Jiajun Zhang , Xiaohui Gao , Weiwei Xing , Zheng Wang , Zhanxing Zhu

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

Reinforcement learning with verifiable rewards (RLVR) has been a main driver of recent breakthroughs in large reasoning models. Yet it remains a mystery how rewards based solely on final outcomes can help overcome the long-horizon barrier…

Machine Learning · Computer Science 2026-05-07 Yu Huang , Zixin Wen , Yuejie Chi , Yuting Wei , Aarti Singh , Yingbin Liang , Yuxin Chen

Recent advances in Large Language Models(LLMs) have enabled strong performance in long-form writing, but current training paradigms remain limited: Supervised Fine-Tuning (SFT) remains constrained by data saturation and performance…

Computation and Language · Computer Science 2026-04-21 Xuanyu Lei , Chenliang Li , Yuning Wu , Kaiming Liu , Weizhou Shen , Peng Li , Ming Yan , Fei Huang , Ya-Qin Zhang , Yang Liu

Reinforcement learning with verifiable rewards (RLVR) has shown promise in enhancing the reasoning performance of large language models (LLMs) by increasing test-time compute. However, even after extensive RLVR training, such models still…

Artificial Intelligence · Computer Science 2026-03-10 Pinzheng Wang , Shuli Xu , Juntao Li , Yu Luo , Dong Li , Jianye Hao , Min Zhang

Whether Reinforcement Learning with Verifiable Rewards (RLVR) endows Large Language Models (LLMs) with new capabilities or merely elicits latent traces remains a central debate. In this work, we align with the former view, proposing a…

Computation and Language · Computer Science 2026-02-10 Zhilin Wang , Yafu Li , Shunkai Zhang , Zhi Wang , Haoran Zhang , Xiaoye Qu , Yu Cheng

Reinforcement learning with verifiable rewards (RLVR) scales the reasoning ability of large language models (LLMs) but remains bottlenecked by limited labeled samples for continued data scaling. Reinforcement learning with intrinsic rewards…

Machine Learning · Computer Science 2025-10-13 Chuyi Tan , Peiwen Yuan , Xinglin Wang , Yiwei Li , Shaoxiong Feng , Yueqi Zhang , Jiayi Shi , Ji Zhang , Boyuan Pan , Yao Hu , Kan Li

Recent advances in large language models (LLMs) have demonstrated that reinforcement learning with verifiable rewards (RLVR) can significantly enhance reasoning abilities by directly optimizing correctness, rather than relying solely on…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Minbin Huang , Runhui Huang , Chuanyang Zheng , Jingyao Li , Guoxuan Chen , Han Shi , Hong Cheng

Large language models (LLMs) show strong capabilities in general reasoning but typically lack reliability in scientific domains like quantum mechanics, which demand strict adherence to physical constraints. This limitation arises from the…

Artificial Intelligence · Computer Science 2026-04-21 Songxin Qu , Tai-Ping Sun , Yun-Jie Wang , Huan-Yu Liu , Cheng Xue , Xiao-Fan Xu , Han Fang , Yang Yang , Yu-Chun Wu , Guo-Ping Guo , Zhao-Yun Chen

Reinforcement Learning with Verifiable Rewards (RLVR) has significantly improved LLM reasoning, but its sparse, outcome-based reward provides no guidance for intermediate steps, slowing exploration. We propose Progressively Ascending…

Artificial Intelligence · Computer Science 2025-10-28 Eunseop Yoon , Hee Suk Yoon , Jaehyun Jang , SooHwan Eom , Qi Dai , Chong Luo , Mark A. Hasegawa-Johnson , Chang D. Yoo