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Reinforcement Learning with Verifiable Rewards has recently advanced the capabilities of Large Language Models in complex reasoning tasks by providing explicit rule-based supervision. Among RLVR methods, GRPO and its variants have achieved…

Machine Learning · Computer Science 2026-03-11 Zepeng Zhai , Meilin Chen , Jiaxuan Zhao , Junlang Qian , Lei Shen , Yuan Lu

Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

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 become a central post-training paradigm for improving the reasoning capabilities of large language models. Yet existing methods share a common blind spot: they optimize policies…

Machine Learning · Computer Science 2026-04-29 Huaiyang Wang , Xiaojie Li , Deqing Wang , Haoyi Zhou , Zixuan Huang , Yaodong Yang , Jianxin Li , Yikun Ban

Search agents extend Large Language Models (LLMs) beyond static parametric knowledge by enabling access to up-to-date and long-tail information unavailable during pretraining. While reinforcement learning has been widely adopted for…

Machine Learning · Computer Science 2026-04-21 Junzhe Wang , Zhiheng Xi , Yajie Yang , Hao Luo , Shihan Dou , Tao Gui , Qi Zhang

Reinforcement Learning with Verifiable Rewards (RLVR) has become a standard recipe for post-training LLMs on reasoning tasks, with Group Relative Policy Optimization (GRPO) emerging as a leading approach. However, GRPO and its variants are…

Machine Learning · Computer Science 2026-05-12 Chanakya Ekbote , Vijay Lingam , Sujay Sanghavi , Jun Huan , Behrooz Omidvar-Tehrani , Anoop Deoras , Stefano Soatto

While Reinforcement Learning from Verifiable Rewards (RLVR) has advanced reasoning in Large Vision-Language Models (LVLMs), prevailing frameworks suffer from a foundational methodological flaw: by distributing identical advantages across…

Artificial Intelligence · Computer Science 2026-04-09 Zekai Ye , Qiming Li , Xiaocheng Feng , Ruihan Chen , Ziming Li , Haoyu Ren , Kun Chen , Dandan Tu , Bing Qin

Large language models (LLMs) are increasingly applied to complex reasoning tasks that require executing several complex steps before receiving any reward. Properly assigning credit to these steps is essential for enhancing model…

Reinforcement Learning from Verifiable Rewards (RLVR) significantly enhances large language models (LLMs) reasoning but severely suffers from calibration degeneration, where models become excessively over-confident in incorrect answers.…

Machine Learning · Computer Science 2026-05-28 Zhengzhao Ma , Xueru Wen , Boxi Cao , Yaojie Lu , Hongyu Lin , Jinglin Yang , Min He , Xianpei Han , Le Sun

Generating grounded and trustworthy responses remains a key challenge for large language models (LLMs). While retrieval-augmented generation (RAG) with citation-based grounding holds promise, instruction-tuned models frequently fail even in…

Computation and Language · Computer Science 2025-06-19 Shang Hong Sim , Tej Deep Pala , Vernon Toh , Hai Leong Chieu , Amir Zadeh , Chuan Li , Navonil Majumder , Soujanya Poria

Reinforcement learning (RL) has emerged as a powerful framework for improving the reasoning capabilities of large language models (LLMs). However, most existing RL approaches rely on sparse outcome rewards, which fail to credit correct…

Machine Learning · Computer Science 2026-01-28 Haolin Liu , Dian Yu , Sidi Lu , Yujun Zhou , Rui Liu , Zhenwen Liang , Haitao Mi , Chen-Yu Wei , Dong Yu

Reinforcement Learning with Verifiable Rewards (RLVR), primarily driven by the Group Relative Policy Optimization (GRPO) algorithm, is a leading approach for enhancing the reasoning abilities of Large Language Models (LLMs). Despite its…

Machine Learning · Computer Science 2025-10-21 Kangqi Ni , Zhen Tan , Zijie Liu , Pingzhi Li , Tianlong Chen

Reinforcement Learning with Verifiable Rewards (RLVR) improves the reasoning ability of Large Language Models (LLMs), but sparse outcome rewards make token-level credit assignment difficult. We study token-level credit as a…

Machine Learning · Computer Science 2026-05-27 Yuhang He , Haodong Wu , Siyi Liu , Hongyu Ge , Hange Zhou , Keyi Wu , Zhuo Zheng , Qihong Lin , Zixin Zhong , Yongqi Zhang

Recent advances in large language models (LLMs) have shown that reasoning ability can be significantly enhanced through Reinforcement Learning with Verifiable Rewards (RLVR). Group Relative Policy Optimization (GRPO) has emerged as the de…

Computation and Language · Computer Science 2025-10-13 Jingyu Zhou , Lu Ma , Hao Liang , Chengyu Shen , Bin Cui , Wentao Zhang

Reinforcement Learning, particularly through policy gradient methods, has played a central role in enabling reasoning capabilities of Large Language Models. However, the optimization stability of policy gradients in this setting remains…

Machine Learning · Computer Science 2026-03-03 Luckeciano C. Melo , Alessandro Abate , Yarin Gal

RLVR has become a widely adopted paradigm for improving LLMs' reasoning capabilities, and GRPO is one of its most representative algorithms. In this paper, we first show that GRPO admits an equivalent discriminative reformulation as a…

Machine Learning · Computer Science 2026-05-19 Feng Zhang , Xinhong Ma , Ziqiang Dong , Xi Leng , Jianfei Zhao , Xin Sun , Yang Yang , Guanjun Jiang

Reinforcement learning in large language models (LLMs) often relies on scalar rewards, a practice that discards valuable textual rationale buried in the rollouts, forcing the model to explore \textit{de novo} with each attempt and hindering…

Machine Learning · Computer Science 2025-10-21 Ang Li , Yifei Wang , Zhihang Yuan , Stefanie Jegelka , Yisen Wang

Reinforcement Learning with Verifiable Rewards (RLVR) is a promising paradigm for enhancing the reasoning ability in Large Language Models (LLMs). However, prevailing methods primarily rely on self-exploration or a single off-policy teacher…

Computation and Language · Computer Science 2025-10-10 Xiaoyang Yuan , Yujuan Ding , Yi Bin , Wenqi Shao , Jinyu Cai , Jingkuan Song , Yang Yang , Heng Tao Shen

While multimodal large language models excel at tasks that integrate visual perception with symbolic reasoning, their performance is often undermined by a critical vulnerability: perception-induced errors that propagate through the…

Multimedia · Computer Science 2025-09-29 Songjun Tu , Qichao Zhang , Jingbo Sun , Yuqian Fu , Linjing Li , Xiangyuan Lan , Dongmei Jiang , Yaowei Wang , Dongbin Zhao

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