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Reward engineering, the manual specification of reward functions to induce desired agent behavior, remains a fundamental challenge in multi-agent reinforcement learning. This difficulty is amplified by credit assignment ambiguity,…

Artificial Intelligence · Computer Science 2026-01-14 Haoran Su , Yandong Sun , Congjia Yu

Reinforcement Learning with Verifiable Rewards (RLVR) effectively trains reasoning models that rely on abundant perfect labels, but its vulnerability to unavoidable noisy labels due to expert scarcity remains critically underexplored. In…

Machine Learning · Computer Science 2026-04-07 Shenzhi Yang , Guangcheng Zhu , Bowen Song , Sharon Li , Haobo Wang , Xing Zheng , Yingfan Ma , Zhongqi Chen , Weiqiang Wang , Gang Chen

Reinforcement Learning with Verifiable Rewards (RLVR) is highly effective for enhancing LLM reasoning, yet recent evidence shows models like Qwen 2.5 achieve significant gains even with spurious or incorrect rewards. We investigate this…

Machine Learning · Computer Science 2026-01-19 Lecheng Yan , Ruizhe Li , Guanhua Chen , Qing Li , Jiahui Geng , Wenxi Li , Vincent Wang , Chris Lee

Reinforcement learning from verifiable rewards (RLVR) has improved the reasoning abilities of large language models (LLMs), but most existing approaches rely on sparse outcome-level feedback. This sparsity creates a credit assignment…

Artificial Intelligence · Computer Science 2026-05-28 Huining Yuan , Zelai Xu , Huaijie Wang , Xiangmin Yi , Jiaxuan Gao , Xiao-Ping Zhang , Yu Wang , Chao Yu , Yi Wu

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

Language models trained on large-scale datasets have been shown to learn features that encode abstract concepts such as factuality or intent. Such features are traditionally used for test-time monitoring or steering. We present an…

Machine Learning · Computer Science 2026-02-19 Aaditya Vikram Prasad , Connor Watts , Jack Merullo , Dhruvil Gala , Owen Lewis , Thomas McGrath , Ekdeep Singh Lubana

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a powerful paradigm for enhancing the reasoning capabilities of LLMs. Existing research has predominantly concentrated on isolated reasoning domains such as mathematical…

Artificial Intelligence · Computer Science 2025-07-24 Yu Li , Zhuoshi Pan , Honglin Lin , Mengyuan Sun , Conghui He , Lijun Wu

Reinforcement learning (RL) with verifiable rewards (RLVR) has demonstrated the great potential of enhancing the reasoning abilities in multimodal large language models (MLLMs). However, the reliance on language-centric priors and expensive…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Jiahao Xie , Alessio Tonioni , Nathalie Rauschmayr , Federico Tombari , Bernt Schiele

Reinforcement Learning from Human Feedback (RLHF) or Verifiable Rewards (RLVR) are two key steps in the post-training of modern Language Models (LMs). A common problem is reward hacking, where the policy may exploit inaccuracies of the…

Machine Learning · Computer Science 2026-02-23 Johannes Ackermann , Michael Noukhovitch , Takashi Ishida , Masashi Sugiyama

Reinforcement Learning from Verifiable Rewards (RLVR) trains large language models (LLMs) from sampled trajectories, making decoding strategy a core component of learning rather than a purely inference-time choice. Sampling temperature…

Machine Learning · Computer Science 2026-02-16 Yixiao Zhou , Yang Li , Dongzhou Cheng , Hehe Fan , Yu Cheng

Large Language Models (LLMs) often produce hallucinated or unverifiable content, undermining their reliability in factual domains. This work investigates Reinforcement Learning with Verifiable Rewards (RLVR) as a training paradigm that…

Scaling test-time computation with reinforcement learning (RL) has emerged as a reliable path to improve large language models (LLM) reasoning ability. Yet, outcome-based reward often incentivizes models to be overconfident, leading to…

Machine Learning · Computer Science 2026-04-28 Liaoyaqi Wang , Chunsheng Zuo , William Jurayj , Benjamin Van Durme , Anqi Liu

Reinforcement learning with verifiable rewards (RLVR) has achieved remarkable success in enhancing the reasoning capabilities of large language models (LLMs). However, existing RLVR methods often suffer from exploration inefficiency due to…

Machine Learning · Computer Science 2025-09-09 Ziheng Li , Zexu Sun , Jinman Zhao , Erxue Min , Yongcheng Zeng , Hui Wu , Hengyi Cai , Shuaiqiang Wang , Dawei Yin , Xu Chen , Zhi-Hong Deng

Reinforcement learning with verifiable rewards (RLVR) has substantially enhanced the reasoning capabilities of multimodal large language models (MLLMs). However, existing RLVR approaches typically rely on outcome-driven optimization that…

Artificial Intelligence · Computer Science 2026-04-10 Ziqi Miao , Haonan Jia , Lijun Li , Chen Qian , Yuan Xiong , Wenting Yan , Jing Shao

Reinforcement learning with verifiable rewards (RLVR) has become a key technique for en- hancing LLM reasoning, yet its data ineffi- ciency remains a major bottleneck. Existing methods address this problem only partially, each missing at…

Machine Learning · Computer Science 2026-05-28 Yuhan Li , Mingxu Zhang , Dazhong Shen , Ying Sun

Reinforcement Learning from Human Feedback (RLHF) aligns Large Language Models (LLMs) with human preferences, yet the underlying reward signals they internalize remain hidden, posing a critical challenge for interpretability and safety.…

Machine Learning · Computer Science 2026-01-21 Nyal Patel , Matthieu Bou , Arjun Jagota , Satyapriya Krishna , Sonali Parbhoo

Reinforcement learning (RL) has emerged as a powerful method for improving the reasoning abilities of large language models (LLMs). Outcome-based RL, which rewards policies solely for the correctness of the final answer, yields substantial…

Machine Learning · Computer Science 2025-09-09 Yuda Song , Julia Kempe , Remi Munos

Reinforcement Learning with Verifiable Rewards (RLVR) is widely used to improve reasoning in large language models, but rewards only final-answer correctness with no supervision over intermediate steps. Rubric-based methods such as Rubrics…

Reinforcement learning (RL) with rule-based reward functions has recently shown great promise in enhancing the reasoning depth and generalization ability of vision-language models (VLMs), while maintaining computational efficiency. In spite…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Yizhou Liu , Dingkang Yang , Zizhi Chen , Minghao Han , Xukun Zhang , Keliang Liu , Jingwei Wei , Lihua Zhang

Reinforcement Learning with Verifiable Rewards (RLVR) is increasingly viewed as a tree pruning mechanism. However, we identify a systemic pathology termed Recursive Space Contraction (RSC), an irreversible collapse driven by the combined…

Artificial Intelligence · Computer Science 2026-02-06 Tianyi Wang , Long Li , Hongcan Guo , Yibiao Chen , Yixia Li , Yong Wang , Yun Chen , Guanhua Chen