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Reinforcement Learning with Verifiable Rewards (RLVR) enhances reasoning of Large Language Models (LLMs) but usually exhibits limited generation diversity due to the over-incentivization of positive rewards. Although methods like Negative…

Machine Learning · Computer Science 2026-05-11 Zihan Lin , Xiaohan Wang , Jie Cao , Jiajun Chai , Li Wang , Xiaodong Lu , Wei Lin , Ran He , Guojun Yin

Recently, Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an effective approach to incentivizing reasoning capability in Large Multimodal Models (LMMs), while the underlying mechanisms behind this post-training paradigm…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Yun Xing , Xiaobin Hu , Qingdong He , Jiangning Zhang , Shuicheng Yan , Shijian Lu , Yu-Gang Jiang

Reinforcement learning with verifiers (RLVR) is a central paradigm for improving large language model (LLM) reasoning, yet existing methods often suffer from limited exploration. Policies tend to collapse onto a few reasoning patterns and…

Machine Learning · Computer Science 2026-02-24 Zhongwei Wan , Yun Shen , Zhihao Dou , Donghao Zhou , Yu Zhang , Xin Wang , Hui Shen , Jing Xiong , Chaofan Tao , Zixuan Zhong , Peizhou Huang , Mi Zhang

Reinforcement learning with verifiable rewards has significantly advanced the reasoning capabilities of large language models, yet how to explicitly steer training toward exploration or exploitation remains an open problem. We introduce…

Machine Learning · Computer Science 2026-02-17 Wenlong Deng , Yi Ren , Yushu Li , Boying Gong , Danica J. Sutherland , Xiaoxiao Li , Christos Thrampoulidis

Reinforcement Learning with Verifiable Rewards (RLVR) has proven effective for enhancing Large Language Models (LLMs) on complex reasoning tasks. However, existing methods suffer from an exploration dilemma: the sharply peaked initial…

Artificial Intelligence · Computer Science 2025-09-30 Yuhua Jiang , Jiawei Huang , Yufeng Yuan , Xin Mao , Yu Yue , Qianchuan Zhao , Lin Yan

RL with Verifiable Rewards (RLVR) has emerged as a promising paradigm for improving the reasoning abilities of large language models (LLMs). Current methods rely primarily on policy optimization frameworks like PPO and GRPO, which follow…

Machine Learning · Computer Science 2025-09-30 Haoran He , Yuxiao Ye , Qingpeng Cai , Chen Hu , Binxing Jiao , Daxin Jiang , Ling Pan

Reinforcement learning with verifiable rewards (RLVR) has been shown to enhance the reasoning capabilities of large language models (LLMs), enabling the development of large reasoning models (LRMs). However, LRMs such as DeepSeek-R1 and…

Artificial Intelligence · Computer Science 2025-11-13 Yuhao Wang , Xiaopeng Li , Cheng Gong , Ziru Liu , Suiyun Zhang , Rui Liu , Xiangyu Zhao

Reinforcement learning has become a central paradigm for improving LLM reasoning, but most existing methods optimize policies over discrete token sequences. This creates a mismatch between the optimization space and the structure of…

Machine Learning · Computer Science 2026-05-19 Haoqiang Kang , Yizhe Zhang , Nikki Lijing Kuang , Yi-An Ma , Lianhui Qin

Large Reasoning Models (LRMs) have demonstrated impressive capabilities but suffer from cognitive inefficiencies like "overthinking" simple problems and "underthinking" complex ones. While existing methods that use supervised fine-tuning…

Artificial Intelligence · Computer Science 2026-03-24 Tian Liang , Wenxiang Jiao , Zhiwei He , Jiahao Xu , Haitao Mi , Dong Yu

Reinforcement learning with verifiable rewards (RLVR) has substantially improved the reasoning capabilities of large language models. While existing analyses identify that RLVR-induced changes are sparse, they primarily focus on the…

While reinforcement learning (RL) demonstrated remarkable success in enhancing the reasoning capabilities of language models, the training dynamics of RL in LLMs remain unclear. In this work, we provide an explanation of the RL training…

Machine Learning · Computer Science 2025-09-30 Xingwu Chen , Tianle Li , Difan Zou

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

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

Large language models (LLMs) tackle complex tasks by generating long chains of thought or "reasoning traces" that act as latent variables in the generation of an output given a query. A model's ability to generate such traces can be…

Computation and Language · Computer Science 2025-12-03 Alexander Gurung , Nikolay Malkin , Mirella Lapata

Reinforcement Learning with Verifiable Rewards (RLVR) for Multimodal Large Language Models (MLLMs) is highly dependent on high-quality labeled data, which is often scarce and prone to substantial annotation noise in real-world scenarios.…

Reinforcement learning with verifiable rewards (RLVR) has significantly improved reasoning in large language models (LLMs), yet the token-level mechanisms underlying these improvements remain unclear. We present a systematic empirical study…

Computation and Language · Computer Science 2026-03-25 Haoming Meng , Kexin Huang , Shaohang Wei , Chiyu Ma , Shuo Yang , Xue Wang , Guoyin Wang , Bolin Ding , Jingren Zhou

Reinforcement learning with verifiable rewards (RLVR) has become a leading approach for improving large language model (LLM) reasoning capabilities. Most current methods follow variants of Group Relative Policy Optimization, which samples…

Computation and Language · Computer Science 2025-09-29 Adit Jain , Brendan Rappazzo

Reinforcement Learning with Verifiable Rewards (RLVR) has become an effective post-training method for improving the reasoning abilities of Large Language Models (LLMs). However, existing methods mainly apply uniform optimization…

Computation and Language · Computer Science 2026-05-18 Jiakang Wang , Runze Liu , Fuzheng Zhang , Xiu Li , Guorui Zhou , Ling Pan

Reinforcement learning (RL) has increasingly become a pivotal technique in the post-training of large language models (LLMs). The effective exploration of the output space is essential for the success of RL. We observe that for complex…

Machine Learning · Computer Science 2025-07-08 Shihan Dou , Muling Wu , Jingwen Xu , Rui Zheng , Tao Gui , Qi Zhang , Xuanjing Huang

While Chain-of-Thought (CoT) significantly enhances the performance of Large Language Models (LLMs), explicit reasoning chains introduce substantial computational redundancy. Recent latent reasoning methods attempt to mitigate this by…

Computation and Language · Computer Science 2026-02-02 Fanmeng Wang , Haotian Liu , Guojiang Zhao , Hongteng Xu , Zhifeng Gao