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Reinforcement Learning from Verifiable Rewards (RLVR) has emerged as a powerful paradigm for enhancing Large Language Models (LLMs), exemplified by the success of OpenAI's o-series. In RLVR, rewards are derived from verifiable signals-such…

Reinforcement Learning (RL) has significantly advanced Large Language Models (LLMs) in verifiable domains, but aligning models for open-ended generation remains profoundly challenging due to the lack of definitive rewards. Current…

Computation and Language · Computer Science 2026-05-29 Xin Guan , Xiaomeng Hu , Shen Huang , Zhenyi Wang , Bo Zhang , Zijian Li , Pengjun Xie , Bo Liu , Jiuxin Cao

Multimodal large language models (MLLMs) have rapidly advanced from perception tasks to complex multi-step reasoning, yet reinforcement learning with verifiable rewards (RLVR) often leads to spurious reasoning since only the final-answer…

Computation and Language · Computer Science 2026-04-21 Mengzhao Jia , Zhihan Zhang , Ignacio Cases , Zheyuan Liu , Meng Jiang , Peng Qi

An impediment to using Large Language Models (LLMs) for reasoning output verification is that LLMs struggle to reliably identify errors in thinking traces, particularly in long outputs, domains requiring expert knowledge, and problems…

Computation and Language · Computer Science 2026-02-09 Kate Sanders , Nathaniel Weir , Sapana Chaudhary , Kaj Bostrom , Huzefa Rangwala

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

Open-ended generation tasks require outputs to satisfy diverse and often implicit task-specific evaluation rubrics. The sheer number of relevant rubrics leads to prohibitively high verification costs and incomplete assessments of a…

Machine Learning · Computer Science 2025-11-04 Mian Wu , Gavin Zhang , Sewon Min , Sergey Levine , Aviral Kumar

Reinforcement learning with verifiable rewards (RLVR) has demonstrated significant success in enhancing mathematical reasoning and coding performance of large language models (LLMs), especially when structured reference answers are…

Computation and Language · Computer Science 2025-04-02 Yi Su , Dian Yu , Linfeng Song , Juntao Li , Haitao Mi , Zhaopeng Tu , Min Zhang , Dong Yu

Reinforcement Learning with Verifiable Rewards (RLVR) has proven effective for complex reasoning tasks with clear correctness signals such as math and coding. However, extending it to real-world reasoning tasks is challenging, as evaluation…

Machine Learning · Computer Science 2025-10-06 Anisha Gunjal , Anthony Wang , Elaine Lau , Vaskar Nath , Yunzhong He , Bing Liu , Sean Hendryx

Reinforcement learning with verifiable rewards (RLVR) succeeds in reasoning tasks (e.g., math and code) by checking the final verifiable answer (i.e., a verifiable dot signal). However, extending this paradigm to open-ended generation is…

Computation and Language · Computer Science 2026-01-27 Yuxin Jiang , Yufei Wang , Qiyuan Zhang , Xingshan Zeng , Liangyou Li , Jierun Chen , Chaofan Tao , Haoli Bai , Lifeng Shang

Generative reward models (GRMs) for vision-language models (VLMs) often evaluate outputs via a three-stage pipeline: rubric generation, criterion-based scoring, and a final verdict. However, the intermediate rubric is rarely optimized…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Weijie Qiu , Dai Guan , Junxin Wang , Zhihang Li , Yongbo Gai , Mengyu Zhou , Erchao Zhao , Xiaoxi Jiang , Guanjun Jiang

Aligning Multimodal Large Language Models (MLLMs) requires reliable reward models, yet existing single-step evaluators can suffer from lazy judging, exploiting language priors over fine-grained visual verification. While rubric-based…

Computation and Language · Computer Science 2026-05-12 Rui Liu , Dian Yu , Zhenwen Liang , Yucheng Shi , Tong Zheng , Runpeng Dai , Haitao Mi , Pratap Tokekar , Leoweiliang

Rubrics provide a flexible way to train LLMs on open-ended long-form answers where verifiable rewards are not applicable and human preferences provide coarse signals. Prior work shows that reinforcement learning with rubric-based rewards…

Computation and Language · Computer Science 2025-10-13 MohammadHossein Rezaei , Robert Vacareanu , Zihao Wang , Clinton Wang , Bing Liu , Yunzhong He , Afra Feyza Akyürek

Reinforcement Learning (RL) has enabled Large Language Models (LLMs) to achieve remarkable reasoning in domains like mathematics and coding, where verifiable rewards provide clear signals. However, extending this paradigm to financial…

Artificial Intelligence · Computer Science 2026-01-09 Rui Sun , Yifan Sun , Sheng Xu , Li Zhao , Jing Li , Daxin Jiang , Cheng Hua , Zuo Bai

Large language models have achieved remarkable success on final-answer mathematical problems, largely due to the ease of applying reinforcement learning with verifiable rewards. However, the reasoning underlying these solutions is often…

While Large Language Models (LLMs) have demonstrated strong math reasoning abilities through Reinforcement Learning with *Verifiable Rewards* (RLVR), many advanced mathematical problems are proof-based, with no guaranteed way to determine…

Computation and Language · Computer Science 2026-02-20 Haotong Yang , Zitong Wang , Shijia Kang , Siqi Yang , Wenkai Yu , Xu Niu , Yike Sun , Yi Hu , Zhouchen Lin , Muhan Zhang

Reinforcement Learning with Verifiable Rewards (RLVR) has driven substantial progress in reasoning-intensive domains like mathematics. However, optimizing open-ended generation remains challenging due to the lack of ground truth. While…

Artificial Intelligence · Computer Science 2026-01-29 Sunzhu Li , Jiale Zhao , Miteto Wei , Huimin Ren , Yang Zhou , Jingwen Yang , Shunyu Liu , Kaike Zhang , Wei Chen

Verifiers or reward models are often used to enhance the reasoning performance of large language models (LLMs). A common approach is the Best-of-N method, where N candidate solutions generated by the LLM are ranked by a verifier, and the…

Machine Learning · Computer Science 2025-02-25 Lunjun Zhang , Arian Hosseini , Hritik Bansal , Mehran Kazemi , Aviral Kumar , Rishabh Agarwal

Despite recent progress in Large Language Model (LLM) Agents for Software Engineering (SWE) tasks, end-to-end fine-tuning typically relies on verifiable terminal rewards such as whether all unit tests pass. While these binary signals…

Machine Learning · Computer Science 2026-04-21 Jiawei Huang , Qingping Yang , Renjie Zheng , Jiaze Chen

Reinforcement learning (RL) has emerged as a critical technique for enhancing LLM-based deep search agents. However, existing approaches primarily rely on binary outcome rewards, which fail to capture the comprehensiveness and factuality of…

Computation and Language · Computer Science 2026-01-12 Jiajie Zhang , Xin Lv , Ling Feng , Lei Hou , Juanzi Li

Reinforcement Learning with Verifiable Rewards~(RLVR) has become a prominent paradigm to enhance the capabilities (i.e.\ long-context) of Large Language Models~(LLMs). However, it often relies on gold-standard answers or explicit evaluation…

Computation and Language · Computer Science 2026-03-03 Yao Xiao , Lei Wang , Yue Deng , Guanzheng Chen , Ziqi Jin , Jung-jae Kim , Xiaoli Li , Roy Ka-wei Lee , Lidong Bing
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