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Search augmentation empowers Large Language Models with retrieval capabilities to overcome the limitations imposed by static parameters. Recently, Reinforcement Learning leverages tailored reward signals as a viable technique to enhance…

Computation and Language · Computer Science 2025-10-17 Linyue Ma , Yilong Xu , Xiang Long , Zhi Zheng

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

Despite chain-of-thought (CoT) playing crucial roles in LLM reasoning, directly rewarding it is difficult: training a reward model demands heavy human labeling efforts, and static RMs struggle with evolving CoT distributions and reward…

Artificial Intelligence · Computer Science 2026-02-12 Leheng Sheng , Wenchang Ma , Ruixin Hong , Xiang Wang , An Zhang , Tat-Seng Chua

Large reasoning models (LRMs) aim to solve diverse and complex problems through structured reasoning. Recent advances in group-based policy optimization methods have shown promise in enabling stable advantage estimation without reliance on…

Machine Learning · Computer Science 2026-01-29 Zhizheng Jiang , Kang Zhao , Weikai Xu , Xinkui Lin , Wei Liu , Jian Luan , Shuo Shang , Peng Han

Reinforcement learning with verifiable rewards (RLVR) has proven effective in enhancing the reasoning of large language models (LLMs). Monte Carlo Tree Search (MCTS)-based extensions improve upon vanilla RLVR (e.g., GRPO) by providing…

Artificial Intelligence · Computer Science 2026-04-21 Ziqi Zhao , Zhaochun Ren , Jiahong Zou , Liu Yang , Zhiwei Xu , Xuri Ge , Zhumin Chen , Xinyu Ma , Daiting Shi , Shuaiqiang Wang , Dawei Yin , Xin Xin

Unsupervised reinforcement learning with verifiable rewards (URLVR) offers a pathway to scale LLM training beyond the supervision bottleneck by deriving rewards without ground truth labels. Recent works leverage model intrinsic signals,…

Reinforcement learning with verifiable rewards (RLVR) has enabled large language models (LLMs) to achieve remarkable breakthroughs in reasoning tasks with objective ground-truth answers, such as mathematics and code generation. However, a…

Computation and Language · Computer Science 2025-06-12 Ruipeng Jia , Yunyi Yang , Yongbo Gai , Kai Luo , Shihao Huang , Jianhe Lin , Xiaoxi Jiang , Guanjun Jiang

Reinforcement Learning with Verifiable Rewards (RLVR) has become a widely adopted technique for enhancing the reasoning ability of Large Language Models (LLMs). However, the effectiveness of RLVR strongly depends on the capability of base…

Artificial Intelligence · Computer Science 2025-10-07 Zishang Jiang , Jinyi Han , Tingyun Li , Xinyi Wang , Sihang Jiang , Jiaqing Liang , Zhaoqian Dai , Shuguang Ma , Fei Yu , Yanghua Xiao

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an effective approach for improving the reasoning abilities of large language models (LLMs). The Group Relative Policy Optimization (GRPO) family has demonstrated strong…

Computation and Language · Computer Science 2025-11-10 Chenxi Liu , Junjie Liang , Yuqi Jia , Bochuan Cao , Yang Bai , Heng Huang , Xun Chen

Recent work shows that text-only reinforcement learning with verifiable rewards (RLVR) can match or outperform image-text RLVR on multimodal medical VQA benchmarks, suggesting current evaluation protocols may fail to measure causal visual…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Anas Zafar , Leema Krishna Murali , Ashish Vashist

Fine-tuning Large Language Models (LLMs) typically relies on large quantities of high-quality annotated data, or questions with well-defined ground truth answers in the case of Reinforcement Learning with Verifiable Rewards (RLVR). While…

Artificial Intelligence · Computer Science 2026-04-21 Justin Bauer , Thomas Walshe , Derek Pham , Harit Vishwakarma , Armin Parchami , Frederic Sala , Paroma Varma

Can reinforcement learning with hard, verifiable rewards teach a compact language model to reason about physics, or does it primarily learn to pattern-match toward correct answers? We study this question by training a 1.5B-parameter…

Artificial Intelligence · Computer Science 2026-03-05 Tarjei Paule Hage , Markus J. Buehler

Reinforcement Learning with Verifiable Rewards (RLVR) has significantly advanced the reasoning capabilities of Multimodal Large Language Models (MLLMs), yet how visual evidence is integrated during reasoning remains poorly understood. We…

Artificial Intelligence · Computer Science 2026-02-13 Zhengbo Jiao , Shaobo Wang , Zifan Zhang , Wei Wang , Bing Zhao , Hu Wei , Linfeng Zhang

While Reinforcement Learning with Verifiable Rewards (RLVR) has shown strong effectiveness in reasoning tasks, it cannot be directly applied to non-verifiable domains lacking ground-truth verifiers, such as LLM alignment. In this work, we…

Computation and Language · Computer Science 2026-02-20 Kejian Shi , Yixin Liu , Peifeng Wang , Alexander R. Fabbri , Shafiq Joty , Arman Cohan

Reinforcement fine-tuning with verifiable rewards (RLVR) has emerged as a powerful paradigm for equipping large vision-language models (LVLMs) with agentic capabilities such as tool use and multi-step reasoning. Despite striking empirical…

Machine Learning · Computer Science 2026-04-23 Carter Adams , Rafael Oliveira , Gabriel Almeida , Sofia Torres

Reinforcement learning with verifiable rewards (RLVR) has substantially improved the reasoning ability of LLMs, but often depends on external supervision from human annotations or gold-standard solutions. Reinforcement learning from…

Machine Learning · Computer Science 2026-05-22 Shourov Joarder , Diganta Sikdar , Ahsan Habib Akash , Binod Bhattarai , Prashnna Gyawali

Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a core paradigm for enhancing the reasoning capabilities of Large Language Models (LLMs). To address the lack of verification signals at test time, prior studies…

Computation and Language · Computer Science 2025-10-17 Wenkai Yang , Weijie Liu , Ruobing Xie , Yiju Guo , Lulu Wu , Saiyong Yang , Yankai Lin

While reinforcement learning has advanced the reasoning abilities of Large Language Models (LLMs), these gains are largely confined to English, creating a significant performance disparity across languages. To address this, we introduce…

Computation and Language · Computer Science 2025-10-01 Fahim Faisal , Kaiqiang Song , Song Wang , Simin Ma , Shujian Liu , Haoyun Deng , Sathish Reddy Indurthi

We show that reinforcement learning with verifiable reward using one training example (1-shot RLVR) is effective in incentivizing the math reasoning capabilities of large language models (LLMs). Applying RLVR to the base model…

Large Reasoning Models (LRMs) with long chain-of-thought capabilities, optimized via reinforcement learning with verifiable rewards (RLVR), excel at objective reasoning tasks like mathematical problem solving and code generation. However,…

Computation and Language · Computer Science 2026-03-03 Yumeng Wang , Zhiyuan Fan , Jiayu Liu , Jen-tse Huang , Yi R. Fung