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Reinforcement learning with verifiable rewards (RLVR) has recently advanced the reasoning capabilities of large language models (LLMs). While prior work has emphasized algorithmic design, data curation, and reward shaping, we investigate…

Machine Learning · Computer Science 2025-07-10 Xinjie Chen , Minpeng Liao , Guoxin Chen , Chengxi Li , Biao Fu , Kai Fan , Xinggao Liu

Reinforcement learning with verifiable rewards (RLVR) has significantly improved reasoning in large language models (LLMs), yet the token-level mechanisms underlying these improvements remain unclear. We present a systematic empirical study…

Computation and Language · Computer Science 2026-03-25 Haoming Meng , Kexin Huang , Shaohang Wei , Chiyu Ma , Shuo Yang , Xue Wang , Guoyin Wang , Bolin Ding , Jingren Zhou

Entropy minimization (EM) trains the model to concentrate even more probability mass on its most confident outputs. We show that this simple objective alone, without any labeled data, can substantially improve large language models' (LLMs)…

Machine Learning · Computer Science 2025-05-22 Shivam Agarwal , Zimin Zhang , Lifan Yuan , Jiawei Han , Hao Peng

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an effective approach for enhancing the reasoning capabilities of Large Language Models (LLMs). Despite its efficacy, RLVR faces a meta-learning bottleneck: it lacks…

Machine Learning · Computer Science 2026-02-12 Shiting Huang , Zecheng Li , Yu Zeng , Qingnan Ren , Zhen Fang , Qisheng Su , Kou Shi , Lin Chen , Zehui Chen , Feng Zhao

Reinforcement Learning with Verifiable Rewards~(RLVR) has emerged as a powerful learn-to-reason paradigm for large reasoning models to tackle complex tasks. However, the current RLVR paradigm is still not efficient enough, as it works in a…

Computation and Language · Computer Science 2026-03-10 Junjie Zhang , Guozheng Ma , Shunyu Liu , Haoyu Wang , Jiaxing Huang , Ting-En Lin , Fei Huang , Yongbin Li , Dacheng Tao

Reinforcement learning with verifiable rewards (RLVR) has proven effective in eliciting complex reasoning in large language models (LLMs). However, standard RLVR training often leads to excessively verbose processes (in reasoning tasks) and…

Artificial Intelligence · Computer Science 2025-10-01 Gang Li , Yulei Qin , Xiaoyu Tan , Dingkang Yang , Yuchen Shi , Zihan Xu , Xiang Li , Xing Sun , Ke Li

While reinforcement learning with verifiable rewards (RLVR) is effective to improve the reasoning ability of large language models (LLMs), its reliance on human-annotated labels leads to the scaling up dilemma, especially for complex tasks.…

Machine Learning · Computer Science 2026-03-17 Zizhuo Zhang , Jianing Zhu , Xinmu Ge , Zihua Zhao , Zhanke Zhou , Xuan Li , Xiao Feng , Jiangchao Yao , Bo Han

Large Reasoning Models (LRMs) excel at complex reasoning tasks through extended chain-of-thought generation, but their reliance on lengthy intermediate steps incurs substantial computational cost. We find that the entropy of the model's…

Artificial Intelligence · Computer Science 2026-02-02 Hongxi Yan , Qingjie Liu , Yunhong Wang

Reinforcement learning (RL) has been widely used in training large language models (LLMs) for preventing unexpected outputs, eg reducing harmfulness and errors. However, existing RL methods mostly adopt the instance-level reward, which is…

Computation and Language · Computer Science 2024-06-18 Zhipeng Chen , Kun Zhou , Wayne Xin Zhao , Junchen Wan , Fuzheng Zhang , Di Zhang , Ji-Rong Wen

Large reasoning models (LRMs) achieve strong performance via extended chain-of-thought (CoT) reasoning, yet suffer from excessive token consumption and high inference latency. Existing reinforcement learning (RL) approaches for CoT…

Machine Learning · Computer Science 2026-05-19 Tingcheng Bian , Yuzhe Zhang , Jing Jin , Jinchang Luo , MingQuan Cheng , Haiwei Wang , Wenyuan Jiang , Miaohui Wang

Recent work on reinforcement learning with verifiable rewards (RLVR) has shown that large language models (LLMs) can be substantially improved using outcome-level verification signals, such as unit tests for code or exact-match checks for…

Computation and Language · Computer Science 2026-01-27 Massimiliano Pronesti , Anya Belz , Yufang Hou

Reinforcement Learning with Verifiable Rewards (RLVR) has advanced LLM reasoning, but remains constrained by inefficient exploration under limited rollout budgets, leading to low sampling success and unstable training in complex tasks. We…

Machine Learning · Computer Science 2026-04-21 Yiju Guo , Tianyi Hu , Zexu Sun , Yankai Lin

Using Reinforcement Learning with Verifiable Rewards (RLVR) to optimize Large Language Models (LLMs) can be conceptualized as progressively editing a query's `Reasoning Tree'. This process involves exploring nodes (tokens) and dynamically…

Artificial Intelligence · Computer Science 2026-04-28 Hong Wang , Zhezheng Hao , Jian Luo , Chenxing Wei , Yao Shu , Lei Liu , Qiang Lin , Hande Dong , Jiawei Chen

Large Language Models (LLMs) have demonstrated impressive reasoning capabilities in complex problem-solving tasks, sparking growing interest in their application to preference reasoning in recommendation systems. Existing methods typically…

Artificial Intelligence · Computer Science 2025-10-27 Yang Zhang , Wenxin Xu , Xiaoyan Zhao , Wenjie Wang , Fuli Feng , Xiangnan He , Tat-Seng Chua

Recently, reinforcement learning~(RL) has become an important approach for improving the capabilities of large language models~(LLMs). In particular, reinforcement learning from verifiable rewards~(RLVR) has emerged as a promising paradigm…

Machine Learning · Computer Science 2026-03-26 Fei Bai , Zhipeng Chen , Chuan Hao , Ming Yang , Ran Tao , Bryan Dai , Wayne Xin Zhao , Jian Yang , Hongteng Xu

Recent advances highlight Reinforcement Learning with Verifiable Rewards (RLVR) as a promising method for enhancing LLMs' capabilities. However, it remains unclear whether the current practice of RLVR truly expands a model's reasoning…

Machine Learning · Computer Science 2026-02-05 Fang Wu , Weihao Xuan , Ximing Lu , Mingjie Liu , Yi Dong , Zaid Harchaoui , Yejin Choi

Cross-cultural entity translation remains challenging for large language models (LLMs) as literal or phonetic renderings are usually yielded instead of culturally appropriate translations in context. However, relevant knowledge may already…

Computation and Language · Computer Science 2026-04-21 Jiang Zhou , Xiaohu Zhao , Xinwei Wu , Tianyu Dong , Hao Wang , Yangyang Liu , Heng Liu , Linlong Xu , Longyue Wang , Weihua Luo , Deyi Xiong

Reinforcement learning with verifiable rewards (RLVR) has substantially improved the reasoning capabilities of large language models. While existing analyses identify that RLVR-induced changes are sparse, they primarily focus on the…

Reinforcement Learning (RL) has proven highly effective at enhancing the complex reasoning abilities of Large Language Models (LLMs), yet underlying mechanisms driving this success remain largely opaque. Our analysis reveals that puzzling…

Artificial Intelligence · Computer Science 2025-09-30 Haozhe Wang , Qixin Xu , Che Liu , Junhong Wu , Fangzhen Lin , Wenhu Chen

Reinforcement Learning (RL) has emerged as a transformative approach for aligning and enhancing Large Language Models (LLMs), addressing critical challenges in instruction following, ethical alignment, and reasoning capabilities. This…

Artificial Intelligence · Computer Science 2025-07-08 Saksham Sahai Srivastava , Vaneet Aggarwal
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