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Reinforcement learning with verifiable rewards (RLVR) has driven recent capability advances of large language models across various domains. Recent studies suggest that improved RLVR algorithms allow models to learn effectively from…

Machine Learning · Computer Science 2026-03-18 Yuxuan Zhu , Daniel Kang

We introduce a theorem proving algorithm that uses practically no domain heuristics for guiding its connection-style proof search. Instead, it runs many Monte-Carlo simulations guided by reinforcement learning from previous proof attempts.…

Artificial Intelligence · Computer Science 2018-05-22 Cezary Kaliszyk , Josef Urban , Henryk Michalewski , Mirek Olšák

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

Training Large Language Models (LLMs) to reason often relies on Reinforcement Learning (RL) with task-specific verifiers. However, many real-world reasoning-intensive tasks lack verifiers, despite offering abundant expert demonstrations…

Machine Learning · Computer Science 2025-12-10 Locke Cai , Ivan Provilkov

Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a promising framework for improving reasoning abilities in Large Language Models (LLMs). However, policy optimized with binary verification prone to overlook…

Machine Learning · Computer Science 2025-10-14 Jinghao Zhang , Naishan Zheng , Ruilin Li , Dongzhou Cheng , Zheming Liang , Feng Zhao , Jiaqi Wang

Post-training for reasoning of large language models (LLMs) increasingly relies on verifiable rewards: deterministic checkers that provide 0-1 correctness signals. While reliable, such binary feedback is brittle--many tasks admit partially…

Computation and Language · Computer Science 2025-10-20 Leitian Tao , Ilia Kulikov , Swarnadeep Saha , Tianlu Wang , Jing Xu , Sharon Li , Jason E Weston , Ping Yu

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

The alignment of Large Language Models (LLMs) is critically dependent on reward models trained on costly human preference data. While recent work explores bypassing this cost with AI feedback, these methods often lack a rigorous theoretical…

Computation and Language · Computer Science 2025-07-01 Yi-Chen Li , Tian Xu , Yang Yu , Xuqin Zhang , Xiong-Hui Chen , Zhongxiang Ling , Ningjing Chao , Lei Yuan , Zhi-Hua Zhou

Multimodal Large Language Models (MLLMs) exhibit impressive performance across various visual tasks. Subsequent investigations into enhancing their visual reasoning abilities have significantly expanded their performance envelope. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-08 Yang Chen , Yufan Shen , Wenxuan Huang , Sheng Zhou , Qunshu Lin , Xinyu Cai , Zhi Yu , Jiajun Bu , Botian Shi , Yu Qiao

Language models encode substantial evaluative knowledge from pretraining, yet current post-training methods rely on external supervision (human annotations, proprietary models, or scalar reward models) to produce reward signals. Each…

Artificial Intelligence · Computer Science 2026-05-06 Shuyue Stella Li , Rui Xin , Teng Xiao , Yike Wang , Rulin Shao , Zoey Hao , Melanie Sclar , Sewoong Oh , Faeze Brahman , Pang Wei Koh , Yulia Tsvetkov

Reinforcement learning with verifiable rewards (RLVR) is a practical, scalable way to improve large language models on math, code, and other structured tasks. However, we argue that many headline RLVR gains are not yet well validated…

Reinforcement learning is used to align language models with human preference signals after first pre-training the model to predict the next token of text within a large corpus using likelihood maximization. Before being deployed in a…

Computation and Language · Computer Science 2024-08-30 Alec Solway

Reinforcement Learning from Verifiable Rewards (RLVR) has driven recent progress in code large language models by leveraging execution-based feedback from unit tests, but its scalability is fundamentally constrained by the availability and…

Machine Learning · Computer Science 2026-05-19 Xiao Zhu , Xinyu Zhou , Boyu Zhu , Hanxu Hu , Mingzhe Du , Haotian Zhang , Huiming Wang , Zhijiang Guo

Recently DeepSeek R1 demonstrated how reinforcement learning with simple rule-based incentives can enable autonomous development of complex reasoning in large language models, characterized by the "aha moment", in which the model manifest…

Artificial Intelligence · Computer Science 2025-03-11 Hengguang Zhou , Xirui Li , Ruochen Wang , Minhao Cheng , Tianyi Zhou , Cho-Jui Hsieh

Reinforcement learning algorithms rely on carefully engineering environment rewards that are extrinsic to the agent. However, annotating each environment with hand-designed, dense rewards is not scalable, motivating the need for developing…

Machine Learning · Computer Science 2018-08-14 Yuri Burda , Harri Edwards , Deepak Pathak , Amos Storkey , Trevor Darrell , Alexei A. Efros

Reinforcement learning with verifiable rewards (RLVR) has become a key technique for enhancing large language models (LLMs), with verification engineering playing a central role. However, best practices for RL in instruction following…

Computation and Language · Computer Science 2025-06-12 Hao Peng , Yunjia Qi , Xiaozhi Wang , Bin Xu , Lei Hou , Juanzi Li

Reward engineering has long been a challenge in Reinforcement Learning (RL) research, as it often requires extensive human effort and iterative processes of trial-and-error to design effective reward functions. In this paper, we propose…

Robotics · Computer Science 2024-06-18 Yufei Wang , Zhanyi Sun , Jesse Zhang , Zhou Xian , Erdem Biyik , David Held , Zackory Erickson

Reinforcement Learning with Verifiable Rewards (RLVR) is widely used to improve reasoning in multiple domains, yet outcome-only scalar rewards are often sparse and uninformative, especially on failed samples, where they merely indicate…

Artificial Intelligence · Computer Science 2026-02-02 Xuancheng Li , Haitao Li , Yujia Zhou , YiqunLiu , Qingyao Ai

Large language models are increasingly used for complex reasoning tasks where high-quality offline data such as expert-annotated solutions and distilled reasoning traces are often available. However, in environments with sparse rewards,…

Artificial Intelligence · Computer Science 2025-08-11 Yihao Liu , Shuocheng Li , Lang Cao , Yuhang Xie , Mengyu Zhou , Haoyu Dong , Xiaojun Ma , Shi Han , Dongmei Zhang

Large language models (LLMs) have exhibited remarkable performance on complex reasoning tasks, with reinforcement learning under verifiable rewards (RLVR) emerging as a principled framework for aligning model behavior with reasoning chains.…

Artificial Intelligence · Computer Science 2026-05-05 Yunjian Zhang , Sudong Wang , Yang Li , Peiran Xu , Conghao Zhou , Xiaoyue Ma , Jianing Li , Yao Zhu
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