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Reinforcement learning with verifiable rewards (RLVR) has emerged as a promising paradigm for post-training large language models (LLMs) on complex reasoning tasks. Yet, the conditions under which RLVR yields robust generalization remain…

Machine Learning · Computer Science 2026-03-05 Brian Lu , Hongyu Zhao , Shuo Sun , Hao Peng , Rui Ding , Hongyuan Mei

Reinforcement Learning with Verifiable Rewards (RLVR) has proven effective in enhancing the reasoning capabilities of large language models, particularly in domains such as mathematics where reliable rule-based verifiers can be constructed.…

Machine Learning · Computer Science 2026-03-12 Changyi Xiao , Caijun Xu , Yixin Cao

Recent Large Language Models (LLMs) and Large Vision-Language Models (LVLMs) increasingly use Reinforcement Learning (RL) for post-pretraining, such as RL with Verifiable Rewards (RLVR) for objective tasks and RL from Human Feedback (RLHF)…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Ziyu Liu , Yuhang Zang , Shengyuan Ding , Yuhang Cao , Xiaoyi Dong , Haodong Duan , Dahua Lin , Jiaqi Wang

Recent breakthroughs in large language models (LLMs) have fundamentally shifted recommender systems from discriminative to generative paradigms, where user behavior modeling is achieved by generating target items conditioned on historical…

Information Retrieval · Computer Science 2025-10-15 Junfei Tan , Yuxin Chen , An Zhang , Junguang Jiang , Bin Liu , Ziru Xu , Han Zhu , Jian Xu , Bo Zheng , Xiang Wang

Process Reward Models (PRMs) provide step-level supervision that improves the reliability of reasoning in large language models. While PRMs have been extensively studied in text-based domains, their extension to Vision Language Models…

Artificial Intelligence · Computer Science 2025-10-08 Brandon Ong , Tej Deep Pala , Vernon Toh , William Chandra Tjhi , Soujanya Poria

Reinforcement learning with verifiable rewards (RLVR) improves language model reasoning by using rule-based rewards in verifiable domains such as mathematics and code. However, RLVR leads to limited generalization for open-ended tasks --…

Computation and Language · Computer Science 2025-09-25 Adithya Bhaskar , Xi Ye , Danqi Chen

Recently, reinforcement learning with verifiable rewards (RLVR) has been widely used for enhancing the reasoning abilities of large language models (LLMs). A core challenge in RLVR involves managing the exchange between entropy and…

Computation and Language · Computer Science 2025-08-05 Jia Deng , Jie Chen , Zhipeng Chen , Wayne Xin Zhao , Ji-Rong Wen

While Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a promising post-training paradigm for Large Language Models (LLMs), its dependency on the gold label or domain-specific verifiers limits its scalability to…

Machine Learning · Computer Science 2026-05-12 Xuexiang Wen , Hang Yu , Linchao Zhu , Gaoang Wang

Recent advances in large language models (LLMs) have significantly improved performance on the Text-to-SQL task by leveraging their powerful reasoning capabilities. To enhance accuracy during the reasoning process, external Process Reward…

Computation and Language · Computer Science 2025-05-20 Yuxin Zhang , Meihao Fan , Ju Fan , Mingyang Yi , Yuyu Luo , Jian Tan , Guoliang Li

Reinforcement Learning with Verifiable Rewards (RLVR) has recently demonstrated notable success in enhancing the reasoning performance of large language models (LLMs), particularly on mathematics and programming tasks. Similar to how…

Artificial Intelligence · Computer Science 2025-11-25 Yang Yue , Zhiqi Chen , Rui Lu , Andrew Zhao , Zhaokai Wang , Yang Yue , Shiji Song , Gao Huang

Automating real-world software engineering tasks remains challenging for large language model (LLM)-based agents due to the need for long-horizon reasoning over large, evolving codebases and making consistent decisions across interdependent…

Software Engineering · Computer Science 2026-04-14 Mahir Labib Dihan , Md Ashrafur Rahman Khan

While model-based verifiers are essential for scaling Reinforcement Learning with Verifiable Rewards (RLVR), current outcome-centric verification paradigms primarily focus on the consistency between the final result and the ground truth,…

Computation and Language · Computer Science 2026-02-13 Xiangfeng Wang , Hangyu Guo , Yanlin Lai , Mitt Huang , Liang Zhao , Chengyuan Yao , Yinmin Zhang , Qi Han , Xiaoxiao Ren , Chun Yuan , Tong Xu , Zheng Ge , Xiangyu Zhang , Daxin Jiang

Reward models are pivotal for aligning Large Language Models (LLMs) with human preferences. Existing approaches face two key limitations: Discriminative reward models require large-scale annotated data, as they cannot exploit the preference…

Computation and Language · Computer Science 2026-02-03 Yongfu Xue

Reinforcement Learning with Verifiable Rewards (RLVR) has been an effective approach for improving Large Language Models' reasoning in domains such as coding and mathematics. Here, we apply RLVR methods towards forecasting future real-world…

Machine Learning · Computer Science 2025-12-02 Benjamin Turtel , Danny Franklin , Kris Skotheim , Luke Hewitt , Philipp Schoenegger

Reward models trained on human preference data have been proven to effectively align Large Language Models (LLMs) with human intent within the framework of reinforcement learning from human feedback (RLHF). However, current reward models…

Computation and Language · Computer Science 2024-10-24 Rui Yang , Ruomeng Ding , Yong Lin , Huan Zhang , Tong Zhang

Agentic search enables language models to solve knowledge-intensive tasks by adaptively acquiring external evidence over multiple steps. Reinforcement learning with verifiable rewards (RLVR) has emerged as a widely adopted training paradigm…

Artificial Intelligence · Computer Science 2026-05-26 Erhan Zhang , Yiqun Chen , Zechun Niu , Wei Yang , Xiaochi Wei , Yan Gao , Yi Wu , Yao Hu , Jiaxin Mao

Large Language Models (LLMs) have shown promising capabilities for solving Operations Research (OR) problems. While reinforcement learning serves as a powerful paradigm for LLM training on OR problems, existing works generally face two key…

Artificial Intelligence · Computer Science 2025-10-03 Chenyu Zhou , Tianyi Xu , Jianghao Lin , Dongdong Ge

Large Language Models (LLMs) have demonstrated remarkable progress in complex reasoning tasks through both post-training and test-time scaling laws. While prevalent test-time scaling approaches are often realized by using external reward…

Machine Learning · Computer Science 2025-10-31 Fuxiang Zhang , Jiacheng Xu , Chaojie Wang , Ce Cui , Yang Liu , Bo An

Reward models (RMs) are central to aligning large language models (LLMs) with human preferences, powering RLHF and advanced decoding strategies. While most prior work focuses on single-step generation, real-world applications increasingly…

Artificial Intelligence · Computer Science 2026-04-21 Xingyu Fan , Wei Shao , Jiacheng Liu , Linqi Song , Pheng Ann Heng

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,…