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Reinforcement learning with verifiable rewards (RLVR) can yield large reasoning gains from very few training instances, yet its strong sensitivity to which instances are used makes data selection a central bottleneck. Most existing…

Machine Learning · Computer Science 2026-05-28 Jianghao Wu , Jianfei Cai , Weiqiang Wang , Jin Ye , Daniel F. Schmidt , Yasmeen George

Trustworthy verifiers are essential for the success of reinforcement learning with verifiable reward (RLVR), which is the core methodology behind various large reasoning models such as DeepSeek-R1. In complex domains like mathematical…

Machine Learning · Computer Science 2025-10-08 Yuzhen Huang , Weihao Zeng , Xingshan Zeng , Qi Zhu , Junxian He

Large reasoning models (LRMs) boosted by Reinforcement Learning from Verifier Reward (RLVR) have shown great power in problem solving, yet they often cause overthinking: excessive, meandering reasoning that inflates computational cost.…

Computation and Language · Computer Science 2025-10-13 Feifan Song , Shaohang Wei , Bofei Gao , Yejie Wang , Wen Luo , Wei Li , Linli Yao , Weimin Xiong , Liang Chen , Tianyu Liu , Houfeng Wang

Reinforcement learning with verifiable rewards (RLVR) has emerged as a prominent paradigm for enhancing the reasoning capabilities of large language models (LLMs). However, the entropy of LLMs usually collapses during RLVR training, leading…

Computation and Language · Computer Science 2026-04-21 Renren Jin , Pengzhi Gao , Yuqi Ren , Zhuowen Han , Tongxuan Zhang , Wuwei Huang , Wei Liu , Jian Luan , Deyi Xiong

While Reinforcement Learning with Verifiable Rewards (RLVR) is effective for deterministically checkable tasks, many vision-language tasks are partially verifiable, demanding multi-criteria supervision (e.g., perceptual details, reasoning…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Ya-Qi Yu , Hao Wang , Fangyu Hong , Xiangyang Qu , Gaojie Wu , Qiaoyu Luo , Nuo Xu , Huixin Wang , Wuheng Xu , Yongxin Liao , Zihao Chen , Haonan Li , Ziming Li , Dezhi Peng , Minghui Liao , Jihao Wu , Haoyu Ren , Dandan Tu

Reinforcement learning with verifiable reward (RLVR) has been instrumental in eliciting strong reasoning capabilities from large language models (LLMs) via long chains of thought (CoT). During RLVR training, we formalize and systemically…

Computation and Language · Computer Science 2026-02-24 Cheonbok Park , Jeonghoon Kim , Joosung Lee , Sanghwan Bae , Jaegul Choo , Kang Min Yoo

In this work, we aim to incentivize the reasoning ability of Multimodal Large Language Models (MLLMs) via reinforcement learning (RL) and develop an effective approach that mitigates the sparse reward and advantage vanishing issues during…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Huanjin Yao , Qixiang Yin , Jingyi Zhang , Min Yang , Yibo Wang , Wenhao Wu , Fei Su , Li Shen , Minghui Qiu , Dacheng Tao , Jiaxing Huang

Large Multimodal Reasoning Models (LMRMs) are moving into real applications, where they must be both useful and safe. Safety is especially challenging in multimodal settings: images and text can be combined to bypass guardrails, and single…

Artificial Intelligence · Computer Science 2025-10-07 Yizhuo Ding , Mingkang Chen , Qiuhua Liu , Fenghua Weng , Wanying Qu , Yue Yang , Yugang Jiang , Zuxuan Wu , Yanwei Fu , Wenqi Shao

Reinforcement learning with verifiable rewards (RLVR) has driven significant performance gains in reasoning-oriented large language models (LLMs), yet its internal training dynamics remain largely a black box. In this work, we perform a…

Machine Learning · Computer Science 2026-05-22 Tianle Wang , Jiayu Liu , Zhongyuan Wu , Shenghao Jin , Wei Chen , Hao Xu , Ning Miao

Existing Reinforcement Learning from Verifiable Rewards (RLVR) methods, such as Group Relative Policy Optimization (GRPO), have achieved remarkable progress in improving the reasoning capabilities of Large Reasoning Models (LRMs). However,…

Machine Learning · Computer Science 2026-04-16 Hsiu-Yuan Huang , Chenming Tang , Weijie Liu , Clive Bai , Saiyong Yang , Yunfang Wu

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

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) 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…

We present Skywork R1V2, a next-generation multimodal reasoning model and a major leap forward from its predecessor, Skywork R1V. At its core, R1V2 introduces a hybrid reinforcement learning paradigm that jointly leverages the Mixed…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Peiyu Wang , Yichen Wei , Yi Peng , Xiaokun Wang , Weijie Qiu , Wei Shen , Tianyidan Xie , Jiangbo Pei , Jianhao Zhang , Yunzhuo Hao , Xuchen Song , Yang Liu , Yahui Zhou

Reinforcement learning with verifiable rewards (RLVR) succeeds in reasoning tasks (e.g., math and code) by checking the final verifiable answer (i.e., a verifiable dot signal). However, extending this paradigm to open-ended generation is…

Computation and Language · Computer Science 2026-01-27 Yuxin Jiang , Yufei Wang , Qiyuan Zhang , Xingshan Zeng , Liangyou Li , Jierun Chen , Chaofan Tao , Haoli Bai , Lifeng Shang

Reinforcement learning with verifiable rewards (RLVR) has emerged as a scalable paradigm for improving the reasoning capabilities of large language models. However, its effectiveness is fundamentally limited by exploration: the policy can…

Artificial Intelligence · Computer Science 2026-05-18 Chanuk Lee , Sangwoo Park , Minki Kang , Sung Ju Hwang

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

Existing Reinforcement Learning with Verifiable Rewards (RLVR) algorithms, such as GRPO, rely on rigid, uniform, and symmetric trust region mechanisms that are fundamentally misaligned with the complex optimization dynamics of Large…

Machine Learning · Computer Science 2026-04-21 Xiaoliang Fu , Jiaye Lin , Yangyi Fang , Binbin Zheng , Chaowen Hu , Zekai Shao , Cong Qin , Lu Pan , Ke Zeng , Xunliang Cai

Fine-grained visual reasoning remains a core challenge for multimodal large language models (MLLMs). The recently introduced ReasonMap highlights this gap by showing that even advanced MLLMs struggle with spatial reasoning in structured and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Sicheng Feng , Kaiwen Tuo , Song Wang , Lingdong Kong , Jianke Zhu , Huan Wang

Multimodal reasoning models (MRMs) trained with reinforcement learning with verifiable rewards (RLVR) show improved accuracy on visual reasoning benchmarks. However, we observe that accuracy gains often come at the cost of reasoning…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Sai Srinivas Kancheti , Aditya Kanade , Rohit Sinha , Vineeth N Balasubramanian , Tanuja Ganu