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Reinforcement learning with verifiable reward has recently emerged as a central paradigm for post-training large language models (LLMs); however, prevailing mean-based methods, such as Group Relative Policy Optimization (GRPO), suffer from…

Machine Learning · Computer Science 2025-10-02 Tao Ren , Jinyang Jiang , Hui Yang , Wan Tian , Minhao Zou , Guanghao Li , Zishi Zhang , Qinghao Wang , Shentao Qin , Yanjun Zhao , Rui Tao , Hui Shao , Yijie Peng

Large Reasoning Models (LRMs) achieve explicit chain-of-thought expansion by imitating deep thinking behaviors of humans, demonstrating excellent performance in complex task scenarios. However, the deep-thinking mode often leads to…

Machine Learning · Computer Science 2026-01-30 Qian Wan , Ziao Xu , Luona Wei , Xiaoxuan Shen , Jianwen Sun

While Large Language Models (LLMs) excel in certain reasoning tasks, they struggle in multi-agent games where the final outcome depends on the joint strategies of all agents. In multi-agent games, the non-stationarity of other agents brings…

Artificial Intelligence · Computer Science 2026-05-26 Yidong He , Yutao Lai , Pengxu Yang , Jiarui Gan , Jiexin Wang , Yi Cai , Mengchen Zhao

The Group Relative Policy Optimization (GRPO) algorithm has demonstrated considerable success in enhancing the reasoning capabilities of large language models (LLMs), as evidenced by DeepSeek-R1. However, the absence of intermediate…

Machine Learning · Computer Science 2025-06-06 Fei Ding , Baiqiao Wang , Zijian Zeng , Youwei Wang

Reinforcement learning with verifiable rewards (RLVR) for Large Reasoning Models hinges on baseline estimation for variance reduction, but existing approaches pay a heavy price: PPO requires a policy-model scale critic, while GRPO needs…

Machine Learning · Computer Science 2026-05-12 Yunho Choi , Jongwon Lim , Woojin Ahn , Minjae Oh , Jeonghoon Shim , Yohan Jo

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

Large language models split into two families: reasoning-centric LLMs, which strengthen internal chain-of-thought reasoning but cannot invoke external tools, and agentic LLMs, which learn to interact with environments and leverage tools but…

Reinforcement learning with verifiable rewards (RLVR) has significantly advanced the reasoning ability of vision-language models (VLMs). However, the inherent text-dominated nature of VLMs often leads to insufficient visual faithfulness,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Zengbin Wang , Feng Xiong , Liang Lin , Xuecai Hu , Yong Wang , Yanlin Wang , Man Zhang , Xiangxiang Chu

Reinforcement learning with verifiable rewards (RLVR) has substantially improved the reasoning ability of large language models (LLMs), but it often suffers from \textit{restricted exploration}, where the policy rapidly concentrates on a…

Computation and Language · Computer Science 2026-05-13 Hengrui Gu , Xiaotian Han , Yujing Bian , Feiyi Wang , Kaixiong Zhou

Deep Reinforcement Learning (RL) is remarkably effective in addressing sequential resource allocation problems in domains such as healthcare, public policy, and resource management. However, deep RL policies often lack transparency and…

Machine Learning · Computer Science 2025-02-18 Mauricio Tec , Guojun Xiong , Haichuan Wang , Francesca Dominici , Milind Tambe

Large language models (LLMs) benefit substantially from supervised fine-tuning (SFT) and reinforcement learning with verifiable rewards (RLVR) in reasoning tasks. However, these recipes perform poorly in instruction-based molecular…

Machine Learning · Computer Science 2026-03-09 Xuan Li , Zhanke Zhou , Zongze Li , Jiangchao Yao , Yu Rong , Lu Zhang , Bo Han

Enhancing LLMs with the ability to actively search external knowledge is crucial for complex and real-world tasks. Current approaches either rely on prompting to elicit the model's innate agent capabilities, or suffer from performance…

Computation and Language · Computer Science 2026-03-20 Chenyang Gu , Yewen Pu , Bruce Yang , Xiaofan Li , Huan Gao

Traditional on-policy Reinforcement Learning with Verifiable Rewards (RLVR) frameworks suffer from experience waste and reward homogeneity, which directly hinders learning efficiency on difficult samples during large language models…

Artificial Intelligence · Computer Science 2026-03-17 Xu Wan , Yansheng Wang , Wenqi Huang , Mingyang Sun

Recent breakthroughs in reasoning language models have significantly advanced text-based reasoning. On the other hand, Multi-modal Large Language Models (MLLMs) still lag behind, hindered by their outdated internal LLMs. Upgrading these…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Yunhao Gou , Kai Chen , Zhili Liu , Lanqing Hong , Xin Jin , Zhenguo Li , James T. Kwok , Yu Zhang

While Reinforcement Learning with Verifiable Rewards (RLVR) enhances complex reasoning in LLMs, current methods struggle to balance exploration and exploitation. This leads to critical issues like inaccurate credit assignment for…

Machine Learning · Computer Science 2025-10-13 Junxi Yin , Haisen Luo , Zhenyu Li , Yihua Liu , Dan Liu , Zequn Li , Xiaohang Xu

Reinforcement learning with verifiable rewards (RLVR) has proven effective in training large reasoning models (LRMs) by leveraging answer-verifiable signals to guide policy optimization, which, however, suffers from high annotation costs.…

Machine Learning · Computer Science 2025-12-16 Shenzhi Yang , Guangcheng Zhu , Xing Zheng , Yingfan MA , Zhongqi Chen , Bowen Song , Weiqiang Wang , Junbo Zhao , Gang Chen , Haobo Wang

Reinforcement learning (RL) has become the de facto standard practice for sequential decision-making problems by improving future acting policies with feedback. However, RL algorithms may require extensive trial-and-error interactions to…

Machine Learning · Computer Science 2024-02-27 Shenao Zhang , Sirui Zheng , Shuqi Ke , Zhihan Liu , Wanxin Jin , Jianbo Yuan , Yingxiang Yang , Hongxia Yang , Zhaoran Wang

Autonomous agents powered by large language models (LLMs) perform complex tasks through long-horizon reasoning and tool interaction, where a fundamental trade-off arises between execution efficiency and reasoning robustness. Models at…

Computation and Language · Computer Science 2026-03-30 Wenbo Gao , Renxi Liu , Xian Wang , Fang Guo , Shuai Yang , Xi Chen , Hui-Ling Zhen , Hanting Chen , Weizhe Lin , Xiaosong Li , Yaoyuan Wang

Large Language Models (LLMs) in multi-turn conversations often suffer from a ``lost-in-conversation'' phenomenon, where they struggle to recover from early incorrect assumptions, particularly when users provide ambiguous initial…

Computation and Language · Computer Science 2026-01-23 Zhebo Wang , Xiaohu Mu , Zijie Zhou , Mohan Li , Wenpeng Xing , Dezhang Kong , Meng Han

While reinforcement learning has advanced the reasoning abilities of Large Language Models (LLMs), these gains are largely confined to English, creating a significant performance disparity across languages. To address this, we introduce…

Computation and Language · Computer Science 2025-10-01 Fahim Faisal , Kaiqiang Song , Song Wang , Simin Ma , Shujian Liu , Haoyun Deng , Sathish Reddy Indurthi