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We show that reinforcement learning with verifiable rewards (RLVR) can elicit strong mathematical reasoning in certain language models even with spurious rewards that have little, no, or even negative correlation with the correct answer.…

Recent progress in Large Language Model (LLM) reasoning is increasingly driven by the refinement of post-training loss functions and alignment strategies. However, standard Reinforcement Learning (RL) paradigms like Group Relative Policy…

Machine Learning · Computer Science 2026-01-28 Kishan Panaganti , Zhenwen Liang , Wenhao Yu , Haitao Mi , Dong Yu

Reinforcement learning with verifiable rewards (RLVR) has become a powerful paradigm for improving language models on reasoning-intensive tasks, but its effectiveness is often limited by exploration. For example, models often fail on hard…

Machine Learning · Computer Science 2026-05-26 Ruitao Liu , Qinghao Hu , Alex Hu , Yecheng Wu , Shang Yang , Luke J. Huang , Zhuoyang Zhang , Han Cai , Song Han

Recent advances demonstrate that reinforcement learning with verifiable rewards (RLVR) significantly enhances the reasoning capabilities of large language models (LLMs). However, standard RLVR faces challenges with reward sparsity, where…

Recent advances in large language models (LLMs) have greatly improved their reasoning and decision-making abilities when deployed as agents. Richer reasoning, however, often comes at the cost of longer chain of thought (CoT), hampering…

Computation and Language · Computer Science 2025-11-20 Sirui Chen , Mengshi Zhao , Lei Xu , Yuying Zhao , Beier Zhu , Hanwang Zhang , Shengjie Zhao , Chaochao Lu

Reinforcement learning with verifiable rewards (RLVR) has become a standard paradigm for post-training large language models. While Group Relative Policy Optimization (GRPO) is widely adopted, its coarse credit assignment uniformly…

Machine Learning · Computer Science 2026-04-03 Gengsheng Li , Tianyu Yang , Junfeng Fang , Mingyang Song , Mao Zheng , Haiyun Guo , Dan Zhang , Jinqiao Wang , Tat-Seng Chua

Balancing exploration and exploitation remains a central challenge in reinforcement learning with verifiable rewards (RLVR) for large language models (LLMs). Current RLVR methods often overemphasize exploitation, leading to entropy…

Computation and Language · Computer Science 2026-04-14 Liang Chen , Xueting Han , Qizhou Wang , Bo Han , Jing Bai , Hinrich Schutze , Kam-Fai Wong

Reinforcement Learning with Verifiable Rewards (RLVR) elicits long chain-of-thought reasoning in large language models (LLMs), but outcome-based rewards lead to coarse-grained advantage estimation. While existing approaches improve RLVR via…

Computation and Language · Computer Science 2026-01-08 Fei Wu , Zhenrong Zhang , Qikai Chang , Jianshu Zhang , Quan Liu , Jun Du

Group Relative Policy Optimization (GRPO) has proven effective in RLVR by using outcome-based rewards. While fine-grained dense rewards can theoretically improve performance, we reveal that under practical sampling budgets, Monte Carlo…

Machine Learning · Computer Science 2026-04-13 Fengwei Teng , Jinyi Bai , Xinhao Yao , Demi Ruohan Wang , Jiahao Zhao , Zhijiang Guo

Multimodal large language models (MLLMs) have shown promising capabilities in reasoning tasks, yet still struggle with complex problems requiring explicit self-reflection and self-correction, especially compared to their unimodal text-based…

Computation and Language · Computer Science 2025-10-07 Zhongwei Wan , Zhihao Dou , Che Liu , Yu Zhang , Dongfei Cui , Qinjian Zhao , Hui Shen , Jing Xiong , Yi Xin , Yifan Jiang , Chaofan Tao , Yangfan He , Mi Zhang , Shen Yan

Large language models (LLMs) excel at logical and algorithmic reasoning, yet their emotional intelligence (EQ) still lags far behind their cognitive prowess. While reinforcement learning from verifiable rewards (RLVR) has advanced in other…

We present Future-KL Influenced Policy Optimization (FIPO), a reinforcement learning algorithm designed to overcome reasoning bottlenecks in large language models. While GRPO style training scales effectively, it typically relies on…

Machine Learning · Computer Science 2026-04-01 Chiyu Ma , Shuo Yang , Kexin Huang , Jinda Lu , Haoming Meng , Shangshang Wang , Bolin Ding , Soroush Vosoughi , Guoyin Wang , Jingren Zhou

Reinforcement Learning with Verifiable Rewards (RLVR) has demonstrated remarkable success in enhancing the reasoning capabilities of Large Language Models (LLMs). However, recent studies question whether RL genuinely expands reasoning…

Machine Learning · Computer Science 2026-02-04 Dayu Wang , Jiaye Yang , Weikang Li , Jiahui Liang , Yang Li

Reinforcement Learning with Verifiable Reward (RLVR) effectively solves complex tasks but demands extremely long context lengths during training, leading to substantial computational costs. While multi-stage training can partially mitigate…

Machine Learning · Computer Science 2025-12-25 Xin Xu , Cliveb AI , Kai Yang , Tianhao Chen , Yang Wang , Saiyong Yang , Can Yang

Reinforcement Learning with Verifiable Rewards (RLVR) improves reasoning in large language models but treats all correct solutions equally, potentially reinforcing flawed traces that get correct answers by chance. We observe that better…

Machine Learning · Computer Science 2026-03-11 Tiehua Mei , Minxuan Lv , Leiyu Pan , Zhenpeng Su , Hongru Hou , Hengrui Chen , Ao Xu , Deqing Yang

Large Reasoning Models (LRMs) have shown exceptional reasoning capabilities, but they also suffer from the issue of overthinking, often generating excessively long and redundant answers. For problems that exceed the model's capabilities,…

Machine Learning · Computer Science 2026-03-23 Yinan Xia , Haotian Zhang , Huiming Wang

Reinforcement learning (RL) plays a central role in improving the reasoning and alignment of large language models, yet its efficiency critically depends on how training data are selected. Existing online selection strategies predominantly…

Machine Learning · Computer Science 2026-03-03 Xinyu Zhou , Boyu Zhu , Haotian Zhang , Huiming Wang , Zhijiang Guo

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…

The development of autonomous agents for complex, long-horizon tasks is a central goal in AI. However, dominant training paradigms face a critical limitation: reinforcement learning (RL) methods that optimize solely for final task success…

Machine Learning · Computer Science 2025-07-31 Zijing Zhang , Ziyang Chen , Mingxiao Li , Zhaopeng Tu , Xiaolong Li

This paper investigates the application of Reinforcement Learning (RL) to optimise call routing in call centres to minimise client waiting time and staff idle time. Two methods are compared: a model-based approach using Value Iteration (VI)…

Artificial Intelligence · Computer Science 2025-07-25 Kwong Ho Li , Wathsala Karunarathne