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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…

Recent RL methods have substantially improved the reasoning abilities of LLMs. Existing reward designs mainly follow two paradigms: (1) Reinforcement learning with verifiable rewards (RLVR) derives outcome signals from executable checks or…

Computation and Language · Computer Science 2026-05-25 Sirui Chen , Lei Xu , Yuying Zhao , Yutian Chen , Yu Wang , Beier Zhu , Hanwang Zhang , Shengjie Zhao , Chaochao Lu

General reasoning represents a long-standing and formidable challenge in artificial intelligence. Recent breakthroughs, exemplified by large language models (LLMs) and chain-of-thought prompting, have achieved considerable success on…

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In this work, we aim to incentivize the reasoning ability of Multimodal Large Language Models (MLLMs) via reinforcement learning (RL) and develop an effective approach that mitigates the sparse reward and advantage vanishing issues during…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Huanjin Yao , Qixiang Yin , Jingyi Zhang , Min Yang , Yibo Wang , Wenhao Wu , Fei Su , Li Shen , Minghui Qiu , Dacheng Tao , Jiaxing Huang

Reinforcement learning with verifiable rewards (RLVR) has shown promise in enhancing the reasoning performance of large language models (LLMs) by increasing test-time compute. However, even after extensive RLVR training, such models still…

Artificial Intelligence · Computer Science 2026-03-10 Pinzheng Wang , Shuli Xu , Juntao Li , Yu Luo , Dong Li , Jianye Hao , Min Zhang

Reinforcement learning is critical to improving large reasoning models, but its success relies heavily on verifiable rewards (RLVR), making it hard to use in open-ended domains where correctness is ambiguous and cannot be verified.…

Artificial Intelligence · Computer Science 2026-05-12 Yifan Wang , Bolian Li , David Cho , Ruqi Zhang , Fanping Sui , Ananth Grama

Balancing exploration and exploitation remains a key challenge in reinforcement learning (RL). State-of-the-art RL algorithms suffer from high sample complexity, particularly in the sparse reward case, where they can do no better than to…

Machine Learning · Computer Science 2020-01-22 Philippe Morere , Gilad Francis , Tom Blau , Fabio Ramos

Ranking relevance is a fundamental task in search engines, aiming to identify the items most relevant to a given user query. Traditional relevance models typically produce scalar scores or directly predict relevance labels, limiting both…

Information Retrieval · Computer Science 2025-12-30 Ziyang Zeng , Heming Jing , Jindong Chen , Xiangli Li , Hongyu Liu , Yixuan He , Zhengyu Li , Yige Sun , Zheyong Xie , Yuqing Yang , Shaosheng Cao , Jun Fan , Yi Wu , Yao Hu

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an indispensable paradigm for enhancing reasoning in Large Language Models (LLMs). However, standard policy optimization methods, such as Group Relative Policy…

Machine Learning · Computer Science 2026-02-09 Pengyi Li , Elizaveta Goncharova , Andrey Kuznetsov , Ivan Oseledets

Reinforcement learning (RL) is emerging as a powerful paradigm for enabling large language models (LLMs) to perform complex reasoning tasks. Recent advances indicate that integrating RL with retrieval-augmented generation (RAG) allows LLMs…

Computation and Language · Computer Science 2025-08-13 Wentao Jiang , Xiang Feng , Zengmao Wang , Yong Luo , Pingbo Xu , Zhe Chen , Bo Du , Jing Zhang

Inspired by the success of reinforcement learning (RL) in Large Language Model (LLM) training for domains like math and code, recent works have begun exploring how to train LLMs to use search engines more effectively as tools for…

Computation and Language · Computer Science 2026-02-05 Zhichao Xu , Zongyu Wu , Yun Zhou , Aosong Feng , Kang Zhou , Sangmin Woo , Kiran Ramnath , Yijun Tian , Xuan Qi , Weikang Qiu , Lin Lee Cheong , Haibo Ding

While Reinforcement Learning with Verifiable Rewards (RLVR) is effective for deterministically checkable tasks, many vision-language tasks are partially verifiable, demanding multi-criteria supervision (e.g., perceptual details, reasoning…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Ya-Qi Yu , Hao Wang , Fangyu Hong , Xiangyang Qu , Gaojie Wu , Qiaoyu Luo , Nuo Xu , Huixin Wang , Wuheng Xu , Yongxin Liao , Zihao Chen , Haonan Li , Ziming Li , Dezhi Peng , Minghui Liao , Jihao Wu , Haoyu Ren , Dandan Tu

Reinforcement Learning with Verifiable Reward (RLVR) is a powerful method for enhancing the reasoning abilities of Large Language Models, but its full potential is limited by a lack of exploration in two key areas: Depth (the difficulty of…

Machine Learning · Computer Science 2026-04-14 Zhicheng Yang , Zhijiang Guo , Yinya Huang , Yongxin Wang , Dongchun Xie , Hanhui Li , Yiwei Wang , Xiaodan Liang , Jing Tang

Reinforcement learning (RL) has recently become the dominant paradigm for strengthening the reasoning abilities of large language models (LLMs). Yet the rule-based reward functions commonly used on mathematical or programming benchmarks…

Artificial Intelligence · Computer Science 2025-09-09 Haoyang He , Zihua Rong , Kun Ji , Chenyang Li , Qing Huang , Chong Xia , Lan Yang , Honggang Zhang

This work introduces RARE (Retrieval-Augmented Reasoning Enhancement), a versatile extension to the mutual reasoning framework (rStar), aimed at enhancing reasoning accuracy and factual integrity across large language models (LLMs) for…

Computation and Language · Computer Science 2025-06-03 Hieu Tran , Zonghai Yao , Junda Wang , Yifan Zhang , Zhichao Yang , Hong Yu

Large Language Models (LLMs) show great promise in complex reasoning, with Reinforcement Learning with Verifiable Rewards (RLVR) being a key enhancement strategy. However, a prevalent issue is ``superficial self-reflection'', where models…

Artificial Intelligence · Computer Science 2025-05-20 Xiaoyuan Liu , Tian Liang , Zhiwei He , Jiahao Xu , Wenxuan Wang , Pinjia He , Zhaopeng Tu , Haitao Mi , Dong Yu

Reinforcement Learning with Verifiable Rewards (RLVR) enhances reasoning of Large Language Models (LLMs) but usually exhibits limited generation diversity due to the over-incentivization of positive rewards. Although methods like Negative…

Machine Learning · Computer Science 2026-05-11 Zihan Lin , Xiaohan Wang , Jie Cao , Jiajun Chai , Li Wang , Xiaodong Lu , Wei Lin , Ran He , Guojun Yin

Large Language Models (LLMs) have shown remarkable reasoning capabilities through Reinforcement Learning with Verifiable Rewards (RLVR) methods. However, a key limitation of existing approaches is that rewards defined at the full trajectory…

Machine Learning · Computer Science 2025-09-30 Zhicheng Yang , Zhijiang Guo , Yinya Huang , Xiaodan Liang , Yiwei Wang , Jing Tang

Reinforcement learning with verifiable rewards (RLVR) has significantly boosted the reasoning capability of language models (LMs). However, existing RLVR approaches train LMs based on their own on-policy responses and are constrained by the…

Machine Learning · Computer Science 2026-04-17 Chenming Tang , Hsiu-Yuan Huang , Weijie Liu , Clive Bai , Saiyong Yang , Yunfang Wu

Deep search agents have proven effective in enhancing LLMs by retrieving external knowledge during multi-step reasoning. However, existing methods often generate a single query for retrieval at each reasoning step, limiting information…

Artificial Intelligence · Computer Science 2026-05-14 Jiabei Liu , Wenyu Mao , Junfei Tan , Chunxu Shen , Lingling Yi , Jiancan Wu , Xiang Wang