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Related papers: Reasoning with Exploration: An Entropy Perspective

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To encourage diverse exploration in reinforcement learning (RL) for large language models (LLMs) without compromising accuracy, we propose Policy Split, a novel paradigm that bifurcates the policy into normal and high-entropy modes with a…

Computation and Language · Computer Science 2026-04-14 Jiashu Yao , Heyan Huang , Chuwei Luo , Daiqing Wu , Zeming Liu , Yuhang Guo , Yangyang Kang

Reinforcement learning (RL) is one of the three basic paradigms of machine learning. It has demonstrated impressive performance in many complex tasks like Go and StarCraft, which is increasingly involved in smart manufacturing and…

Machine Learning · Computer Science 2022-06-03 Mingqi Yuan

Exploration is a cornerstone of learning from experience: it enables agents to find solutions to complex problems, generalize to novel ones, and scale performance with test-time compute. In this paper, we present a framework for…

Artificial Intelligence · Computer Science 2026-05-06 Ifdita Hasan Orney , Jubayer Ibn Hamid , Shreya S Ramanujam , Shirley Wu , Hengyuan Hu , Noah Goodman , Dorsa Sadigh , Chelsea Finn

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

Exploration in reinforcement learning (RL) remains an open challenge. RL algorithms rely on observing rewards to train the agent, and if informative rewards are sparse the agent learns slowly or may not learn at all. To improve exploration…

Machine Learning · Computer Science 2024-11-12 Simone Parisi , Alireza Kazemipour , Michael Bowling

Entropy serves as a critical metric for measuring the diversity of outputs generated by large language models (LLMs), providing valuable insights into their exploration capabilities. While recent studies increasingly focus on monitoring and…

Machine Learning · Computer Science 2026-02-04 Shumin Wang , Yuexiang Xie , Wenhao Zhang , Yuchang Sun , Yanxi Chen , Yaliang Li , Yanyong Zhang

Reinforcement learning (RL) has become essential to the post-training of large language models (LLMs) for reasoning, agentic capabilities and alignment. Successful RL relies on sufficient exploration of diverse actions by the model during…

Large Reasoning Models (LRMs) employ reasoning to address complex tasks. Such explicit reasoning requires extended context lengths, resulting in substantially higher resource consumption. Prior work has shown that adversarially crafted…

Artificial Intelligence · Computer Science 2026-02-10 Ziwei Wang , Yuanhe Zhang , Jing Chen , Zhenhong Zhou , Ruichao Liang , Ruiying Du , Ju Jia , Cong Wu , Yang Liu

Recent advancements have shown that reinforcement learning (RL) can substantially improve the reasoning abilities of large language models (LLMs). The effectiveness of such RL training, however, depends critically on the exploration space…

Computation and Language · Computer Science 2026-03-17 Haoyuan Wu , Hai Wang , Jiajia Wu , Jinxiang Ou , Keyao Wang , Weile Chen , Zihao Zheng , Bei Yu

Reasoning ability has become a defining capability of Large Language Models (LLMs), with Reinforcement Learning with Verifiable Rewards (RLVR) emerging as a key paradigm to enhance it. However, RLVR training often suffers from policy…

Machine Learning · Computer Science 2026-04-20 Xiaoyun Zhang , Xiaojian Yuan , Di Huang , Wang You , Chen Hu , Jingqing Ruan , Ai Jian , Kejiang Chen , Xing Hu

Intrinsic motivation enables reinforcement learning (RL) agents to explore when rewards are very sparse, where traditional exploration heuristics such as Boltzmann or e-greedy would typically fail. However, intrinsic exploration is…

Machine Learning · Computer Science 2020-04-07 Philippe Morere , Fabio Ramos

Reinforcement learning (RL) algorithms aim to balance exploiting the current best strategy with exploring new options that could lead to higher rewards. Most common RL algorithms use undirected exploration, i.e., select random sequences of…

Machine Learning · Computer Science 2025-08-01 Bhavya Sukhija , Stelian Coros , Andreas Krause , Pieter Abbeel , Carmelo Sferrazza

We introduce Random Reward Perturbation (RRP), a novel exploration strategy for reinforcement learning (RL). Our theoretical analyses demonstrate that adding zero-mean noise to environmental rewards effectively enhances policy diversity…

Machine Learning · Computer Science 2025-06-11 Haozhe Ma , Guoji Fu , Zhengding Luo , Jiele Wu , Tze-Yun Leong

Reinforcement learning has become essential for strengthening the reasoning abilities of large language models, yet current exploration mechanisms remain fundamentally misaligned with how these models actually learn. Entropy bonuses and…

Machine Learning · Computer Science 2025-12-18 Zhenwen Liang , Sidi Lu , Wenhao Yu , Kishan Panaganti , Yujun Zhou , Haitao Mi , Dong Yu

Recent advances in reinforcement learning (RL) have significantly improved the complex reasoning capabilities of large language models (LLMs). Despite these successes, existing methods mainly focus on single-domain RL (e.g., mathematics)…

Artificial Intelligence · Computer Science 2025-11-20 Baolong Bi , Shenghua Liu , Yiwei Wang , Siqian Tong , Lingrui Mei , Yuyao Ge , Yilong Xu , Jiafeng Guo , Xueqi Cheng

Large Reasoning Models (LRMs) have recently achieved strong mathematical and code reasoning performance through Reinforcement Learning (RL) post-training. However, we show that modern reasoning post-training induces an unintended…

Computation and Language · Computer Science 2026-05-12 Wenhui Tan , Fiorenzo Parascandolo , Enver Sangineto , Jianzhong Ju , Zhenbo Luo , Qian Cao , Rita Cucchiara , Ruihua Song , Jian Luan

Reinforcement Learning (RL) has become a compelling way to strengthen the multi step reasoning ability of Large Language Models (LLMs). However, prevalent RL paradigms still lean on sparse outcome-based rewards and limited exploration,…

Artificial Intelligence · Computer Science 2025-10-24 Xuan Zhang , Ruixiao Li , Zhijian Zhou , Long Li , Yulei Qin , Ke Li , Xing Sun , Xiaoyu Tan , Chao Qu , Yuan Qi

Decoding strategies play a central role in shaping the reasoning ability of large language models (LLMs). Traditional methods such as greedy decoding and beam search often suffer from error propagation, while sampling-based approaches…

Current large reasoning models (LRMs) have shown strong ability on challenging tasks after reinforcement learning (RL) based post-training. However, previous work mainly focuses on English reasoning in expectation of the strongest…

Computation and Language · Computer Science 2026-02-26 Changjiang Gao , Zixian Huang , Kaichen Yang , Jiajun Chen , Jixing Li , Shujian Huang

Sufficient exploration is paramount for the success of a reinforcement learning agent. Yet, exploration is rarely assessed in an algorithm-independent way. We compare the behavior of three data-based, offline exploration metrics described…

Machine Learning · Computer Science 2020-10-30 Jakob J. Hollenstein , Sayantan Auddy , Matteo Saveriano , Erwan Renaudo , Justus Piater