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Reinforcement Learning from Verifier Rewards (RLVR) has emerged as a widely used approach for post-training large language models on reasoning tasks, with group-based methods such as GRPO and its variants gaining broad adoption. These…

Reinforcement Learning with Verifiable Rewards (RLVR) has become the leading paradigm for enhancing reasoning in Large Language Models (LLMs). However, standard RLVR algorithms suffer from a well-documented pathology: while they improve…

Machine Learning · Computer Science 2026-02-26 Yuanda Xu , Hejian Sang , Zhengze Zhou , Ran He , Zhipeng Wang

Reinforcement Learning with Verifiable Reward (RLVR) is a powerful method for enhancing the reasoning abilities of Large Language Models, but its full potential is limited by a lack of exploration in two key areas: Depth (the difficulty of…

Machine Learning · Computer Science 2026-04-14 Zhicheng Yang , Zhijiang Guo , Yinya Huang , Yongxin Wang , Dongchun Xie , Hanhui Li , Yiwei Wang , Xiaodan Liang , Jing Tang

Reinforcement Learning with Verifiable Rewards (RLVR) has shown significant promise for enhancing the reasoning capabilities of large language models (LLMs). However, prevailing algorithms like GRPO broadcast a uniform advantage signal…

Artificial Intelligence · Computer Science 2026-04-17 Can Xie , Ruotong Pan , Xiangyu Wu , Yunfei Zhang , Jiayi Fu , Tingting Gao , Guorui Zhou

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

Reinforcement learning with verifiable rewards (RLVR) has become a standard recipe for improving large language models (LLMs) on reasoning tasks, with Group Relative Policy Optimization (GRPO) widely used in practice. Yet GRPO wastes…

Machine Learning · Computer Science 2025-10-13 Yunzhen Feng , Parag Jain , Anthony Hartshorn , Yaqi Duan , Julia Kempe

Reinforcement Learning with Verifiable Rewards (RLVR) is commonly based on group sampling to estimate advantages and stabilize policy updates. In practice, computational limits often rule out very large groups, so training proceeds with…

Reinforcement learning with verifiable rewards (RLVR) has become a key technique for en- hancing LLM reasoning, yet its data ineffi- ciency remains a major bottleneck. Existing methods address this problem only partially, each missing at…

Machine Learning · Computer Science 2026-05-28 Yuhan Li , Mingxu Zhang , Dazhong Shen , Ying Sun

Reinforcement Learning with Verifiable Reward (RLVR) has proven effective for training reasoning-oriented large language models, but existing methods largely assume high-resource settings with abundant training data. In low-resource…

Machine Learning · Computer Science 2026-04-21 Zhanyu Liu , Qingguo Hu , Ante Wang , Chenqing Liu , Zhishang Xiang , Hui Li , Delai Qiu , Jinsong Su

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an important paradigm for unlocking reasoning capabilities in large language models, exemplified by the success of OpenAI o1 and DeepSeek-R1. Currently, Group Relative…

Machine Learning · Computer Science 2026-01-08 Shijie Zhang , Kevin Zhang , Zheyuan Gu , Xiang Guo , Rujun Guo , Shaoyu Liu , Guanjun Jiang , Xiaozhao Wang

Despite the success of reinforcement learning for large language models, a common failure mode is reduced sampling diversity, where the policy repeatedly generates similar erroneous behaviors. Classical entropy regularization encourages…

Machine Learning · Computer Science 2026-04-14 Yang Liu , Enxi Wang , Yufei Gao , Weixin Zhang , Bo Wang , Zhiyuan Zeng , Yikai Zhang , Yining Zheng , Xipeng Qiu

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

Empirical risk minimization (ERM) is sensitive to spurious correlations in the training data, which poses a significant risk when deploying systems trained under this paradigm in high-stake applications. While the existing literature…

Machine Learning · Computer Science 2023-10-31 Christos Tsirigotis , Joao Monteiro , Pau Rodriguez , David Vazquez , Aaron Courville

Reinforcement Learning with Verifiable Rewards (RLVR), particularly with algorithms like Group Relative Policy Optimization (GRPO), has proven highly effective in enhancing the reasoning capabilities of large language models. However, a…

Computation and Language · Computer Science 2026-03-03 Shangyu Xing , Siyuan Wang , Chenyuan Yang , Xinyu Dai , Xiang Ren

Reinforcement learning with verifiable rewards (RLVR) is effective for training large language models on deterministic outcome reasoning tasks. Prior work shows RLVR works with few prompts, but prompt selection is often based only on…

Machine Learning · Computer Science 2026-05-07 Yujuan Pang , Jiaxin Li , Xin Sheng , Ran Peng , Yong Ma

Reinforcement learning with verifiable rewards (RLVR) has become an effective paradigm for improving reasoning language models on tasks such as mathematics, coding, and scientific question answering. However, widely used group-relative…

Computation and Language · Computer Science 2026-05-29 Redacted by arXiv

Reinforcement Learning with Verifiable Rewards (RLVR) improves multimodal reasoning by rewarding verifiable final answers. Yet answer-correct trajectories may still rely on incomplete derivations, weak evidence, or statements that…

Computation and Language · Computer Science 2026-04-22 Mengzhao Jia , Zhihan Zhang , Meng Jiang

Reinforcement Learning with Verifiable Rewards (RLVR) strengthens LLM reasoning, but training often oscillates between {entropy collapse} and {entropy explosion}. We trace both hazards to the mean baseline used in value-free RL (e.g., GRPO…

Machine Learning · Computer Science 2026-03-03 Junkang Wu , Kexin Huang , Jiancan Wu , An Zhang , Xiang Wang , Xiangnan He

Reinforcement learning with verifiable rewards (RLVR) has emerged as an effective post-training paradigm for improving the reasoning capabilities of large language models. However, existing group-based RLVR methods often suffer from severe…

Machine Learning · Computer Science 2026-05-26 Haechan Kim , Soohyun Ryu , Gyouk Chu , Doohyuk Jang , Eunho Yang

Reinforcement learning (RL) with group relative policy optimization (GRPO) has become a widely adopted approach for enhancing the reasoning capabilities of multimodal large language models (MLLMs). While GRPO enables long-chain reasoning…

Artificial Intelligence · Computer Science 2026-03-03 Haowen Gao , Zhenyu Zhang , Liang Pang , Fangda Guo , Hongjian Dou , Guannan Lv , Shaoguo Liu , Tingting Gao , Huawei Shen , Xueqi Cheng
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