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Reinforcement Learning from Verifiable Rewards (RLVR) trains large language models (LLMs) from sampled trajectories, making decoding strategy a core component of learning rather than a purely inference-time choice. Sampling temperature…

Machine Learning · Computer Science 2026-02-16 Yixiao Zhou , Yang Li , Dongzhou Cheng , Hehe Fan , Yu Cheng

Reasoning ability has become a defining capability of Large Language Models (LLMs), with Reinforcement Learning with Verifiable Rewards (RLVR) emerging as a key paradigm to enhance it. However, RLVR training often suffers from policy…

Machine Learning · Computer Science 2026-04-20 Xiaoyun Zhang , Xiaojian Yuan , Di Huang , Wang You , Chen Hu , Jingqing Ruan , Ai Jian , Kejiang Chen , Xing Hu

Reinforcement Learning has demonstrated substantial improvements in the reasoning abilities of Large Language Models (LLMs), exhibiting significant applicability across various domains. Recent research has identified that tokens within LLMs…

Computation and Language · Computer Science 2025-10-13 Haomin Zhuang , Yujun Zhou , Taicheng Guo , Yue Huang , Fangxu Liu , Kai Song , Xiangliang Zhang

Reasoning large language models (LLMs) excel in complex tasks, which has drawn significant attention to reinforcement learning (RL) for LLMs. However, existing approaches allocate an equal number of rollouts to all questions during the RL…

Machine Learning · Computer Science 2025-10-21 Mengqi Liao , Xiangyu Xi , Ruinian Chen , Jia Leng , Yangen Hu , Ke Zeng , Shuai Liu , Huaiyu Wan

Reinforcement Learning with verifiable rewards (RLVR) has emerged as a primary learning paradigm for enhancing the reasoning capabilities of multi-modal large language models (MLLMs). However, during RL training, the enormous state space of…

Machine Learning · Computer Science 2026-03-13 Zhuoxu Huang , Mengxi Jia , Hao Sun , Xuelong Li , Jungong Han

The evolution of Large Language Model (LLM) reasoning is bottlenecked by the scarcity of high-quality process data. While self-alignment via endogenous rewards offers a solution, mining valid supervision faces three challenges: (1) Label…

Artificial Intelligence · Computer Science 2026-05-26 Yanyu Chen , Jiyue Jiang , Dianzhi Yu , Zheng Wu , Jiahong Liu , Jiaming Han , Xiao Guo , Jinhu Qi , Yu Li , Yifei Zhang , Irwin King

Reinforcement Learning with Verifiable Rewards (RLVR) for LLM reasoning is often framed as balancing exploration and exploitation in action space, typically operationalized with token-level proxies (e.g., output entropy or confidence). We…

Machine Learning · Computer Science 2026-04-21 Fanding Huang , Guanbo Huang , Xiao Fan , Yi He , Xiao Liang , Xiao Chen , Qinting Jiang , Faisal Nadeem Khan , Jingyan Jiang , Zhi Wang

Previous LLMs-based RL studies typically follow either supervised learning with high annotation costs, or unsupervised paradigms using voting or entropy-based rewards. However, their performance remains far from satisfactory due to the…

Machine Learning · Computer Science 2026-04-22 Zhiyin Yu , Bo Zhang , Qibin Hou , Zhonghai Wu , Xiao Luo , Lei Bai

Reinforcement learning with verifiable rewards (RLVR) has demonstrated superior performance in enhancing the reasoning capability of large language models (LLMs). However, this accuracy-oriented learning paradigm often suffers from entropy…

Artificial Intelligence · Computer Science 2026-01-19 Hongye Cao , Zhixin Bai , Ziyue Peng , Boyan Wang , Tianpei Yang , Jing Huo , Yuyao Zhang , Yang Gao

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

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

Reinforcement Learning from Verifiable Rewards (RLVR) improves the reasoning abilities of Large Language Models (LLMs) but it struggles with unstable exploration. We propose FR3E (First Return, Entropy-Eliciting Explore), a structured…

Artificial Intelligence · Computer Science 2025-07-10 Tianyu Zheng , Tianshun Xing , Qingshui Gu , Taoran Liang , Xingwei Qu , Xin Zhou , Yizhi Li , Zhoufutu Wen , Chenghua Lin , Wenhao Huang , Qian Liu , Ge Zhang , Zejun Ma

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 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 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 recently demonstrated remarkable potential in enhancing the reasoning capability of Large Reasoning Models (LRMs). However, RLVR often drives the policy toward over-determinism,…

Machine Learning · Computer Science 2026-03-23 Shimin Zhang , Xianwei Chen , Yufan Shen , Ziyuan Ye , Jibin Wu

Exploratory data analytics (EDA) is a sequential decision making process where analysts choose subsequent queries that might lead to some interesting insights based on the previous queries and corresponding results. Data processing systems…

Machine Learning · Computer Science 2022-12-14 Shaddy Garg , Subrata Mitra , Tong Yu , Yash Gadhia , Arjun Kashettiwar

Large Reasoning Models (LRMs) have recently achieved strong mathematical and code reasoning performance through Reinforcement Learning (RL) post-training. However, we show that modern reasoning post-training induces an unintended…

Computation and Language · Computer Science 2026-05-12 Wenhui Tan , Fiorenzo Parascandolo , Enver Sangineto , Jianzhong Ju , Zhenbo Luo , Qian Cao , Rita Cucchiara , Ruihua Song , Jian Luan

Reinforcement learning with verifiable rewards (RLVR) has emerged as a powerful paradigm for enhancing the reasoning capabilities of large language models (LLMs). Unlike traditional RL approaches, RLVR leverages rule-based feedback to guide…

Computation and Language · Computer Science 2025-08-19 Jia Deng , Jie Chen , Zhipeng Chen , Daixuan Cheng , Fei Bai , Beichen Zhang , Yinqian Min , Yanzipeng Gao , Wayne Xin Zhao , Ji-Rong Wen

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
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