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RL training of multi-turn LLM agents is inherently unstable, and reasoning quality directly determines task performance. Entropy is widely used to track reasoning stability. However, entropy only measures diversity within the same input,…

Reinforcement Learning with Verifiable Rewards (RLVR) is a powerful framework for improving the reasoning abilities of Large Language Models (LLMs). However, current methods such as GRPO rely only on problems where the model responses to…

Computation and Language · Computer Science 2026-02-10 Thanh-Long V. Le , Myeongho Jeon , Kim Vu , Viet Lai , Eunho Yang

Recent advancements in Large Language Models have yielded significant improvements in complex reasoning tasks such as mathematics and programming. However, these models remain heavily dependent on annotated data and exhibit limited…

Machine Learning · Computer Science 2025-09-01 Jia Liu , ChangYi He , YingQiao Lin , MingMin Yang , FeiYang Shen , ShaoGuo Liu

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

Recent advances in large language model (LLM) reasoning, led by reinforcement learning with verifiable rewards (RLVR), have inspired self-play post-training, where models improve by generating and solving their own problems. While self-play…

Machine Learning · Computer Science 2025-11-03 Justin Yang Chae , Md Tanvirul Alam , Nidhi Rastogi

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

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

Large language models (LLMs) augmented with multi-step reasoning and action generation abilities have shown promise in leveraging external tools to tackle complex tasks that require long-horizon planning. However, existing approaches either…

Artificial Intelligence · Computer Science 2025-10-16 Wei Fan , Wenlin Yao , Zheng Li , Feng Yao , Xin Liu , Liang Qiu , Qingyu Yin , Yangqiu Song , Bing Yin

Reinforcement learning with verifiable rewards (RLVR) has shown great promise in enhancing the reasoning abilities of large reasoning models (LRMs). However, it suffers from a critical issue: entropy collapse and premature convergence.…

Machine Learning · Computer Science 2025-09-30 Yuxian Jiang , Yafu Li , Guanxu Chen , Dongrui Liu , Yu Cheng , Jing Shao

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as an important paradigm for unlocking reasoning capabilities in large language models, exemplified by the success of OpenAI o1 and DeepSeek-R1. Currently, Group Relative…

Machine Learning · Computer Science 2026-01-08 Shijie Zhang , Kevin Zhang , Zheyuan Gu , Xiang Guo , Rujun Guo , Shaoyu Liu , Guanjun Jiang , Xiaozhao Wang

Reinforcement learning with verifiable rewards (RLVR) has delivered impressive gains in mathematical and multimodal reasoning and has become a standard post-training paradigm for contemporary language and vision-language models. However,…

Machine Learning · Computer Science 2025-10-28 Hoang Phan , Xianjun Yang , Kevin Yao , Jingyu Zhang , Shengjie Bi , Xiaocheng Tang , Madian Khabsa , Lijuan Liu , Deren Lei

Fine-tuning large language models (LLMs) for downstream tasks typically exhibit a fundamental safety-capability tradeoff, where improving task performance degrades safety alignment even on benign datasets. This degradation persists across…

Reinforcement learning has emerged as a powerful paradigm for post-training large language models (LLMs) to improve reasoning. Approaches like Reinforcement Learning from Human Feedback (RLHF) and Reinforcement Learning with Verifiable…

Machine Learning · Computer Science 2025-06-26 Yanzhi Zhang , Zhaoxi Zhang , Haoxiang Guan , Yilin Cheng , Yitong Duan , Chen Wang , Yue Wang , Shuxin Zheng , Jiyan He

Large Language Models (LLMs) have made remarkable progress in enhancing step-by-step reasoning through reinforcement learning. However, the Group Relative Policy Optimization (GRPO) algorithm, which relies on sparse reward rules, often…

Artificial Intelligence · Computer Science 2025-07-30 Xingjian Zhang , Siwei Wen , Wenjun Wu , Lei Huang

Reinforcement learning with verifiable rewards (RLVR) is a promising approach for training language models (LMs) on reasoning tasks that elicit emergent long chains of thought (CoTs). Unlike supervised learning, it updates the model using…

Computation and Language · Computer Science 2025-10-28 Xinyu Zhu , Mengzhou Xia , Zhepei Wei , Wei-Lin Chen , Danqi Chen , Yu Meng

Reinforcement Learning with Verifiable Rewards~(RLVR) has emerged as a powerful learn-to-reason paradigm for large reasoning models to tackle complex tasks. However, the current RLVR paradigm is still not efficient enough, as it works in a…

Computation and Language · Computer Science 2026-03-10 Junjie Zhang , Guozheng Ma , Shunyu Liu , Haoyu Wang , Jiaxing Huang , Ting-En Lin , Fei Huang , Yongbin Li , Dacheng Tao

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 with Verifiable Reward (RLVR) has proven effective for training reasoning-oriented large language models, but existing methods largely assume high-resource settings with abundant training data. In low-resource…

Machine Learning · Computer Science 2026-04-21 Zhanyu Liu , Qingguo Hu , Ante Wang , Chenqing Liu , Zhishang Xiang , Hui Li , Delai Qiu , Jinsong Su

Reinforcement learning with verifiable rewards (RLVR) has proven effective in eliciting complex reasoning in large language models (LLMs). However, standard RLVR training often leads to excessively verbose processes (in reasoning tasks) and…

Artificial Intelligence · Computer Science 2025-10-01 Gang Li , Yulei Qin , Xiaoyu Tan , Dingkang Yang , Yuchen Shi , Zihan Xu , Xiang Li , Xing Sun , Ke Li

Reinforcement Learning with Verifiable Rewards (RLVR) has recently emerged as a key paradigm for post-training Large Language Models (LLMs), particularly for complex reasoning tasks. However, vanilla RLVR training has been shown to improve…

Computation and Language · Computer Science 2025-12-16 Xiao Liang , Zhongzhi Li , Yeyun Gong , Yelong Shen , Ying Nian Wu , Zhijiang Guo , Weizhu Chen