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Reinforcement learning with verifiable rewards (RLVR) has become a key technique for enhancing large language models (LLMs), with verification engineering playing a central role. However, best practices for RL in instruction following…

Computation and Language · Computer Science 2025-06-12 Hao Peng , Yunjia Qi , Xiaozhi Wang , Bin Xu , Lei Hou , Juanzi Li

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

Self-paced reinforcement learning (RL) aims to improve the data efficiency of learning by automatically creating sequences, namely curricula, of probability distributions over contexts. However, existing techniques for self-paced RL fail in…

Machine Learning · Computer Science 2023-05-29 Cevahir Koprulu , Ufuk Topcu

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a promising paradigm for enhancing reasoning in Large Language Models (LLMs). However, existing reward formulations typically treat exploration and consolidation as a…

Machine Learning · Computer Science 2026-05-15 Wenze Lin , Zhen Yang , Xitai Jiang , Xiaoteng Ma , Gao Huang

Video generation models produce visually coherent content but struggle with tasks requiring spatial reasoning and multi-step planning. Reinforcement learning (RL) offers a path to improve generalization, but its effectiveness in video…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Ming Liu , Yunbei Zhang , Shilong Liu , Liwen Wang , Wensheng Zhang

Reinforcement learning from verifiable rewards (RLVR) has improved the reasoning abilities of LLMs, yet a fundamental limitation remains: models cannot learn from problems that are too difficult to solve under their current policy, as these…

Machine Learning · Computer Science 2026-04-07 Justin Chih-Yao Chen , Archiki Prasad , Zaid Khan , Joykirat Singh , Runchu Tian , Elias Stengel-Eskin , Mohit Bansal

Reinforcement Learning from Verifiable Rewards (RLVR) on chain-of-thought reasoning has become a standard part of language model post-training recipes. A common assumption is that the reasoning chains trained through RLVR reliably represent…

Computation and Language · Computer Science 2026-04-27 Qinan Yu , Alexa Tartaglini , Peter Hase , Carlos Guestrin , Christopher Potts

Recently, reinforcement learning with verifiable rewards (RLVR) has been widely used for enhancing the reasoning abilities of large language models (LLMs). A core challenge in RLVR involves managing the exchange between entropy and…

Computation and Language · Computer Science 2025-08-05 Jia Deng , Jie Chen , Zhipeng Chen , Wayne Xin Zhao , Ji-Rong Wen

Reinforcement Learning with Verifiable Rewards (RLVR) has proven effective in enhancing the reasoning capabilities of large language models, particularly in domains such as mathematics where reliable rule-based verifiers can be constructed.…

Machine Learning · Computer Science 2026-03-12 Changyi Xiao , Caijun Xu , Yixin Cao

Reinforcement Learning with Verifiable Rewards (RLVR) improves instruction following capabilities of large language models (LLMs), but suffers from training inefficiency due to inadequate difficulty assessment. Moreover, RLVR is prone to…

Computation and Language · Computer Science 2025-08-08 Xu Guo , Tianyi Liang , Tong Jian , Xiaogui Yang , Ling-I Wu , Chenhui Li , Zhihui Lu , Qipeng Guo , Kai Chen

Reinforcement learning from verifiable rewards (RLVR) has demonstrated remarkable effectiveness in improving the reasoning capabilities of large language models. As models evolve into natively multimodal architectures, extending RLVR to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Chuanyu Qin , Chenxu Yang , Qingyi Si , Naibin Gu , Dingyu Yao , Zheng Lin , Peng Fu , Nan Duan , Jiaqi Wang

Deep Reinforcement Learning (DRL) has achieved remarkable success in sequential decision-making tasks across diverse domains, yet its reliance on black-box neural architectures hinders interpretability, trust, and deployment in high-stakes…

Machine Learning · Computer Science 2025-02-12 Zelei Cheng , Jiahao Yu , Xinyu Xing

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 have achieved significant reasoning improvements through reinforcement learning with verifiable rewards (RLVR). Yet as model capabilities grow, constructing high-quality reward signals becomes increasingly difficult,…

Machine Learning · Computer Science 2026-04-21 Salman Rahman , Jingyan Shen , Anna Mordvina , Hamid Palangi , Saadia Gabriel , Pavel Izmailov

Large Language Models (LLMs) often struggle with problems that require multi-step reasoning. For small-scale open-source models, Reinforcement Learning with Verifiable Rewards (RLVR) fails when correct solutions are rarely sampled even…

Computation and Language · Computer Science 2026-03-02 Yihe Deng , I-Hung Hsu , Jun Yan , Zifeng Wang , Rujun Han , Gufeng Zhang , Yanfei Chen , Wei Wang , Tomas Pfister , Chen-Yu Lee

Prolonged reinforcement learning with verifiable rewards (RLVR) has been shown to drive continuous improvements in the reasoning capabilities of large language models, but the training is often prone to instabilities, especially in…

Artificial Intelligence · Computer Science 2026-05-13 Yiming Dong , Kun Fu , Haoyu Li , Xinyuan Zhu , Yurou Liu , Lijing Shao , Jieping Ye , Zheng Wang

Reinforcement Learning with Verifiable Rewards (RLVR) is widely used to improve reasoning in multiple domains, yet outcome-only scalar rewards are often sparse and uninformative, especially on failed samples, where they merely indicate…

Artificial Intelligence · Computer Science 2026-02-02 Xuancheng Li , Haitao Li , Yujia Zhou , YiqunLiu , Qingyao Ai

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a prevailing paradigm for enhancing reasoning in Multimodal Large Language Models (MLLMs). However, relying solely on outcome supervision risks reward hacking, where…

Computation and Language · Computer Science 2026-03-04 Yukun Chen , Jiaming Li , Longze Chen , Ze Gong , Jingpeng Li , Zhen Qin , Hengyu Chang , Ancheng Xu , Zhihao Yang , Hamid Alinejad-Rokny , Qiang Qu , Bo Zheng , Min Yang

Training large language models with reinforcement learning (RL) against verifiable rewards significantly enhances their reasoning abilities, yet remains computationally expensive due to inefficient uniform prompt sampling. We introduce…

Machine Learning · Computer Science 2026-03-06 Ruiqi Zhang , Daman Arora , Song Mei , Andrea Zanette

Reinforcement learning with verifiable reward (RLVR) has become a promising paradigm for post-training large language models (LLMs) to improve their reasoning capability. However, when the rollout accuracy is low on hard problems, the…

Machine Learning · Computer Science 2026-04-21 Huanyu Liu , Jia Li , Yihong Dong , Chang Yu , Taozhi Chen , Lecheng Wang , Yongding Tao , Bin Gu , Ge Li