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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

Reward models (RMs) are fundamental to aligning Large Language Models (LLMs) via human feedback, yet they often suffer from reward hacking. They tend to latch on to superficial or spurious attributes, such as response length or formatting,…

Trustworthy verifiers are essential for the success of reinforcement learning with verifiable reward (RLVR), which is the core methodology behind various large reasoning models such as DeepSeek-R1. In complex domains like mathematical…

Machine Learning · Computer Science 2025-10-08 Yuzhen Huang , Weihao Zeng , Xingshan Zeng , Qi Zhu , Junxian He

Large language models (LLMs) are increasingly deployed in decision-making tasks, where not only accuracy but also reliable confidence estimates are essential. Well-calibrated confidence enables downstream systems to decide when to trust a…

Machine Learning · Computer Science 2026-01-21 Duygu Nur Yaldiz , Evangelia Spiliopoulou , Zheng Qi , Siddharth Varia , Srikanth Doss , Nikolaos Pappas

Reinforcement Learning with Verifiable Rewards (RLVR) has become a powerful approach for improving the reasoning capabilities of large language models (LLMs). While RLVR is designed for tasks with verifiable ground-truth answers, real-world…

Machine Learning · Computer Science 2026-05-06 Kazuki Egashira , Mark Vero , Jasper Dekoninck , Florian E. Dorner , Robin Staab , Martin Vechev

Online reinforcement learning (RL) with complex function approximations such as transformers and deep neural networks plays a significant role in the modern practice of artificial intelligence. Despite its popularity and importance,…

Machine Learning · Computer Science 2025-06-30 Tong Yang , Bo Dai , Lin Xiao , Yuejie Chi

Sparse-reward reinforcement learning (RL) can model a wide range of highly complex tasks. Solving sparse-reward tasks is RL's core premise, requiring efficient exploration coupled with long-horizon credit assignment, and overcoming these…

Machine Learning · Computer Science 2025-10-21 Leander Diaz-Bone , Marco Bagatella , Jonas Hübotter , Andreas Krause

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

Online reinforcement learning from human feedback (RLHF) has emerged as a promising paradigm for aligning large language models (LLMs) by continuously collecting new preference feedback during training. A foundational challenge in this…

Machine Learning · Computer Science 2026-05-07 Zhen-Yu Zhang , Yuting Tang , Jiandong Zhang , Lanjihong Ma , Masashi Sugiyama

Autonomous exploration in complex multi-agent reinforcement learning (MARL) with sparse rewards critically depends on providing agents with effective intrinsic motivation. While artificial curiosity offers a powerful self-supervised signal,…

Machine Learning · Computer Science 2026-02-24 Yiyuan Pan , Zhe Liu , Hesheng Wang

Multimodal Large Language Models (MLLMs) achieve strong multimodal reasoning performance, yet we identify a recurring failure mode in long-form generation: as outputs grow longer, models progressively drift away from image evidence and fall…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Shuai Lv , Chang Liu , Feng Tang , Yujie Yuan , Aojun Zhou , Kui Zhang , Xi Yang , Yangqiu Song

Reinforcement Learning with Verifiable Rewards (RLVR) is an emerging paradigm that significantly boosts a Large Language Model's (LLM's) reasoning abilities on complex logical tasks, such as mathematics and programming. However, we…

Cryptography and Security · Computer Science 2026-04-14 Weiyang Guo , Zesheng Shi , Zeen Zhu , Yuan Zhou , Min Zhang , Jing Li

Reinforcement Learning (RL) has shown promise in improving the reasoning abilities of Large Language Models (LLMs). However, the specific challenges of adapting RL to multimodal data and formats remain relatively unexplored. In this work,…

Machine Learning · Computer Science 2025-05-20 Zirun Guo , Minjie Hong , Tao Jin

Reinforcement learning with verifiable rewards (RLVR) has recently advanced the reasoning capabilities of large language models (LLMs). While prior work has emphasized algorithmic design, data curation, and reward shaping, we investigate…

Machine Learning · Computer Science 2025-07-10 Xinjie Chen , Minpeng Liao , Guoxin Chen , Chengxi Li , Biao Fu , Kai Fan , Xinggao Liu

In Reinforcement Learning (RL), an agent explores the environment and collects trajectories into the memory buffer for later learning. However, the collected trajectories can easily be imbalanced with respect to the achieved goal states.…

Machine Learning · Computer Science 2020-05-27 Rui Zhao , Volker Tresp

Large Language Models (LLMs) are typically trained to reflect a relatively uniform set of values, which limits their applicability to tasks that require understanding of nuanced human perspectives. Recent research has underscored the…

Computation and Language · Computer Science 2025-10-07 Yunfan Zhang , Kathleen McKeown , Smaranda Muresan

Reinforcement learning with verifiable rewards (RLVR) has achieved remarkable success in logical reasoning tasks, yet whether large language model (LLM) alignment requires fundamentally different approaches remains unclear. Given the…

Artificial Intelligence · Computer Science 2026-03-12 Zhaowei Zhang , Xiaohan Liu , Xuekai Zhu , Junchao Huang , Ceyao Zhang , Zhiyuan Feng , Yaodong Yang , Xiaoyuan Yi , Xing Xie

Large Reasoning Models (LRMs) with long chain-of-thought capabilities, optimized via reinforcement learning with verifiable rewards (RLVR), excel at objective reasoning tasks like mathematical problem solving and code generation. However,…

Computation and Language · Computer Science 2026-03-03 Yumeng Wang , Zhiyuan Fan , Jiayu Liu , Jen-tse Huang , Yi R. Fung

Reinforcement learning (RL) can refine the reasoning abilities of large language models (LLMs), but critically depends on a key prerequisite: the LLM can already generate high-utility reasoning paths with non-negligible probability. For…

Artificial Intelligence · Computer Science 2025-10-30 Tianqianjin Lin , Xi Zhao , Xingyao Zhang , Rujiao Long , Yi Xu , Zhuoren Jiang , Wenbo Su , Bo Zheng

Extrinsic rewards can effectively guide reinforcement learning (RL) agents in specific tasks. However, extrinsic rewards frequently fall short in complex environments due to the significant human effort needed for their design and…

Machine Learning · Computer Science 2025-04-28 Mingqi Yuan , Roger Creus Castanyer , Bo Li , Xin Jin , Wenjun Zeng , Glen Berseth