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This paper examines the exploration-exploitation trade-off in reinforcement learning with verifiable rewards (RLVR), a framework for improving the reasoning of Large Language Models (LLMs). Recent studies suggest that RLVR can elicit strong…

Machine Learning · Computer Science 2026-01-27 Peter Chen , Xiaopeng Li , Ziniu Li , Wotao Yin , Xi Chen , Tianyi Lin

The recent advancement of Large Language Models (LLMs) has established their potential as autonomous interactive agents. However, they often struggle in strategic games of incomplete information, such as bilateral price negotiation. In this…

Artificial Intelligence · Computer Science 2026-04-14 Shuze Daniel Liu , Claire Chen , Jiabao Sean Xiao , Lei Lei , Yuheng Zhang , Yisong Yue , David Simchi-Levi

While reinforcement learning with verifiable rewards (RLVR) has advanced LLM reasoning in structured domains like mathematics and programming, its application to general-domain reasoning tasks remains challenging due to the absence of…

Computation and Language · Computer Science 2026-01-29 Wenlin Zhong , Chengyuan Liu , Yiquan Wu , Bovin Tan , Changlong Sun , Yi Wang , Xiaozhong Liu , Kun Kuang

As Reinforcement Learning with Verifiable Rewards (RLVR) substantially improves the reasoning abilities of large language models (LLMs), a new bottleneck emerges: more training problems become saturated, that is, the LLM answers the…

Machine Learning · Computer Science 2026-05-12 Minwu Kim , Safal Shrestha , Anubhav Shrestha , Keith Ross

Process reward models (PRMs) have proven effective for test-time scaling of Large Language Models (LLMs) on challenging reasoning tasks. However, reward hacking issues with PRMs limit their successful application in reinforcement…

Artificial Intelligence · Computer Science 2025-10-24 Jie Cheng , Gang Xiong , Ruixi Qiao , Lijun Li , Chao Guo , Junle Wang , Yisheng Lv , Fei-Yue Wang

Scaling test-time computation with reinforcement learning (RL) has emerged as a reliable path to improve large language models (LLM) reasoning ability. Yet, outcome-based reward often incentivizes models to be overconfident, leading to…

Machine Learning · Computer Science 2026-04-28 Liaoyaqi Wang , Chunsheng Zuo , William Jurayj , Benjamin Van Durme , Anqi Liu

The prevailing paradigm for training large reasoning models--combining Supervised Fine-Tuning (SFT) with Reinforcement Learning with Verifiable Rewards (RLVR)--is fundamentally constrained by its reliance on high-quality, human-annotated…

Machine Learning · Computer Science 2026-03-24 Yuanfu Wang , Zhixuan Liu , Xiangtian Li , Chaochao Lu , Chao Yang

Post-training for reasoning of large language models (LLMs) increasingly relies on verifiable rewards: deterministic checkers that provide 0-1 correctness signals. While reliable, such binary feedback is brittle--many tasks admit partially…

Computation and Language · Computer Science 2025-10-20 Leitian Tao , Ilia Kulikov , Swarnadeep Saha , Tianlu Wang , Jing Xu , Sharon Li , Jason E Weston , Ping Yu

Recent Large Language Models (LLMs) and Large Vision-Language Models (LVLMs) increasingly use Reinforcement Learning (RL) for post-pretraining, such as RL with Verifiable Rewards (RLVR) for objective tasks and RL from Human Feedback (RLHF)…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Ziyu Liu , Yuhang Zang , Shengyuan Ding , Yuhang Cao , Xiaoyi Dong , Haodong Duan , Dahua Lin , Jiaqi Wang

Reinforcement post training (RPT) has recently shown promise in improving the reasoning abilities of large language models (LLMs). However, it remains unclear how well these improvements generalize to new domains, as prior work evaluates…

Computation and Language · Computer Science 2026-03-03 Chuxuan Hu , Yuxuan Zhu , Antony Kellermann , Caleb Biddulph , Suppakit Waiwitlikhit , Jason Benn , Daniel Kang

Reinforcement learning with verifiable rewards (RLVR) has improved the reasoning ability of large language models, yet training remains costly because many rollouts contribute little to optimization, considering the amount of computation…

Machine Learning · Computer Science 2026-02-20 Yan Sun , Jia Guo , Stanley Kok , Zihao Wang , Zujie Wen , Zhiqiang Zhang

Reinforcement Learning from Verifiable Rewards (RLVR) has improved language models in domains such as mathematics and code, where correctness can be checked automatically. However, many important tasks are only partially verifiable: prompts…

Computation and Language · Computer Science 2026-05-28 Saurabh Dash , Pierre Clavier , John Dang , Matthias Galle , Marzieh Fadaee , Ahmet Üstün , Beyza Ermis

Large Language Models (LLMs) increasingly rely on external tools such as search engines to solve complex agentic tasks that require reasoning and external knowledge retrieval. Recently, reinforcement learning with verifiable rewards (RLVR)…

Artificial Intelligence · Computer Science 2025-10-01 Peiran Xu , Zhuohao Li , Xiaoying Xing , Guannan Zhang , Debiao Li , Kunyu Shi

Reinforcement learning (RL) has become a standard approach for post-training large language models and, more recently, for improving image generation models, which uses reward functions to enhance generation quality and human preference…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Yunqi Hong , Kuei-Chun Kao , Hengguang Zhou , Cho-Jui Hsieh

Reinforcement learning with verifiable rewards (RLVR) has emerged as a powerful paradigm for enhancing the reasoning capabilities of large language models (LLMs). Unlike traditional RL approaches, RLVR leverages rule-based feedback to guide…

Computation and Language · Computer Science 2025-08-19 Jia Deng , Jie Chen , Zhipeng Chen , Daixuan Cheng , Fei Bai , Beichen Zhang , Yinqian Min , Yanzipeng Gao , Wayne Xin Zhao , Ji-Rong Wen

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

Large Language Models (LLMs) have achieved remarkable advancements in reasoning capabilities empowered by Reinforcement Learning with Verifiable Rewards (RLVR). Nonetheless, RLVR intrinsically relies on ground-truth labels for reward…

Machine Learning · Computer Science 2026-05-26 Li Wang , Xiaodong Lu , Xiaohan Wang , Yikun Ban , Jiajun Chai , Wei Lin , Tianhao Peng , Guojun Yin

Reinforcement Learning from Human Feedback (RLHF) is a pivotal technique for aligning large language models (LLMs) with human preferences, yet it is susceptible to reward overoptimization, in which policy models overfit to the reward model,…

As large language models (LLMs) are deployed in consequential settings such as medical question answering and legal reasoning, the ability to estimate when their outputs are likely to be correct is essential for safe and reliable use,…

Computation and Language · Computer Science 2026-05-22 Fengfei Yu , Ruijia Niu , Dongxia Wu , Yian Ma , Rose Yu

Reinforcement Learning with verifiable rewards (RLVR) has emerged as a primary learning paradigm for enhancing the reasoning capabilities of multi-modal large language models (MLLMs). However, during RL training, the enormous state space of…

Machine Learning · Computer Science 2026-03-13 Zhuoxu Huang , Mengxi Jia , Hao Sun , Xuelong Li , Jungong Han