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Large Language Models (LLMs) have demonstrated remarkable performance across a wide range of reasoning tasks. Recent methods have further improved LLM performance in complex mathematical reasoning. However, when extending these methods…

Artificial Intelligence · Computer Science 2025-11-11 Chen He , Xun Jiang , Lei Wang , Hao Yang , Chong Peng , Peng Yan , Fumin Shen , Xing Xu

This paper introduces Completion Pruning Policy Optimization (CPPO) to accelerate the training of reasoning models based on Group Relative Policy Optimization (GRPO). GRPO, while effective, incurs high training costs due to the need to…

Artificial Intelligence · Computer Science 2025-11-11 Zhihang Lin , Mingbao Lin , Yuan Xie , Rongrong Ji

It is challenging for reinforcement learning (RL) algorithms to succeed in real-world applications like financial trading and logistic system due to the noisy observation and environment shifting between training and evaluation. Thus, it…

Machine Learning · Computer Science 2022-05-20 Zhengyu Yang , Kan Ren , Xufang Luo , Minghuan Liu , Weiqing Liu , Jiang Bian , Weinan Zhang , Dongsheng Li

Large Language Models (LLMs) increasingly rely on Chain-of-Thought (CoT) reasoning to improve accuracy on complex tasks. However, always generating lengthy reasoning traces is inefficient, leading to excessive token usage and higher…

Reinforcement Learning with Verifiable Rewards (RLVR) enhances Large Language Model (LLM) reasoning but suffers from advantage collapse on ``hard samples'' where all rollouts fail. This lack of variance eliminates crucial learning signals.…

Machine Learning · Computer Science 2026-05-08 Xinyu Lu , Kaiqi Zhang , Jinglin Yang , Boxi Cao , Yaojie Lu , Hongyu Lin , Min He , Xianpei Han , Le Sun

Recent advancements in reinforcement learning, particularly through Group Relative Policy Optimization (GRPO), have significantly improved multimodal large language models for complex reasoning tasks. However, two critical limitations…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Jisheng Dang , Jingze Wu , Teng Wang , Xuanhui Lin , Nannan Zhu , Hongbo Chen , Wei-Shi Zheng , Meng Wang , Tat-Seng Chua

A significant portion of recent research on Large Language Model (LLM) alignment focuses on developing new policy optimization methods based on Group Relative Policy Optimization (GRPO). Two prominent directions have emerged: (i) a shift…

Machine Learning · Computer Science 2026-02-27 Svetlana Glazyrina , Maksim Kryzhanovskiy , Roman Ischenko

Reinforcement Learning (RL) has proven highly effective for autoregressive language models, but adapting these methods to diffusion large language models (dLLMs) presents fundamental challenges. The core difficulty lies in likelihood…

Computation and Language · Computer Science 2025-12-04 Jingyang Ou , Jiaqi Han , Minkai Xu , Shaoxuan Xu , Jianwen Xie , Stefano Ermon , Yi Wu , Chongxuan Li

Chain-of-thought (CoT) reasoning improves large language model performance on complex tasks, but often produces excessively long and inefficient reasoning traces. Existing methods shorten CoTs using length penalties or global entropy…

Artificial Intelligence · Computer Science 2026-04-08 Xuan Xiong , Huan Liu , Li Gu , Zhixiang Chi , Yue Qiu , Yuanhao Yu , Yang Wang

Large reasoning models achieve remarkable performance through extensive chain-of-thought generation, yet they suffer from a critical inefficiency: applying uniformly extensive reasoning regardless of problem complexity. We present…

Artificial Intelligence · Computer Science 2025-08-08 Shangke Lyu , Linjuan Wu , Yuchen Yan , Xingyu Wu , Hao Li , Yongliang Shen , Peisheng Jiang , Weiming Lu , Jun Xiao , Yueting Zhuang

Reinforcement learning (RL) has been successfully applied to solve the problem of finding obstacle-free paths for autonomous agents operating in stochastic and uncertain environments. However, when the underlying stochastic dynamics of the…

Machine Learning · Computer Science 2024-10-29 Sheryl Paul , Jyotirmoy V. Deshmukh

Existing policy-gradient methods for auto-regressive language models typically select subsequent tokens one at a time as actions in the policy. While effective for many generation tasks, such an approach may not fully capture the structure…

Computation and Language · Computer Science 2026-02-17 Mufan Xu , Kehai Chen , Xuefeng Bai , Zhengyu Niu , Muyun Yang , Tiejun Zhao , Min Zhang

Chain-of-Thought (CoT) reasoning has significantly advanced the problem-solving capabilities of Large Language Models (LLMs), yet conventional CoT often exhibits internal determinism during decoding, limiting exploration of plausible…

Artificial Intelligence · Computer Science 2025-12-09 Jindi Lv , Yuhao Zhou , Zheng Zhu , Xiaofeng Wang , Guan Huang , Jiancheng Lv

Despite their sophisticated general-purpose capabilities, Large Language Models (LLMs) often fail to align with diverse individual preferences because standard post-training methods, like Reinforcement Learning with Human Feedback (RLHF),…

Post-training LLMs with Reinforcement Learning, specifically Group Relative Policy Optimization (GRPO), has emerged as a paradigm for enhancing mathematical reasoning. However, standard GRPO relies on scalar correctness rewards that are…

Computation and Language · Computer Science 2026-03-03 Xiwen Chen , Wenhui Zhu , Peijie Qiu , Xuanzhao Dong , Hao Wang , Haiyu Wu , Huayu Li , Aristeidis Sotiras , Yalin Wang , Abolfazl Razi

Group Relative Policy Optimization (GRPO) has shown promise in discrete action spaces by eliminating value function dependencies through group-based advantage estimation. However, its application to continuous control remains unexplored,…

Robotics · Computer Science 2025-07-29 Rajat Khanda , Mohammad Baqar , Sambuddha Chakrabarti , Satyasaran Changdar

Large language models are increasingly trained via reinforcement learning for personalized recommendation tasks, but standard methods like GRPO rely on sparse, sequence-level rewards. These obscure which tokens actually contribute to…

Artificial Intelligence · Computer Science 2026-05-08 Abhijnan Nath , Alireza Bagheri Garakani , Tianchen Zhou , Fan Yang , Yan Gao , Nikhil Krishnaswamy

We introduce Self-correction Relative Policy Optimization (ScRPO), a novel reinforcement learning framework designed to empower large language models with advanced mathematical reasoning capabilities through iterative self-reflection and…

Artificial Intelligence · Computer Science 2026-01-06 Lianrui Li , Dakuan Lu , Jiawei Shao , Xuelong Li

The remarkable performance of Large Language Models (LLMs) highly relies on crafted prompts. However, manual prompt engineering is a laborious process, creating a core bottleneck for practical application of LLMs. This phenomenon has led to…

Computation and Language · Computer Science 2025-11-21 Qing Zhang , Bing Xu , Xudong Zhang , Yifan Shi , Yang Li , Chen Zhang , Yik Chung Wu , Ngai Wong , Yijie Chen , Hong Dai , Xiansen Chen , Mian Zhang

Enhancing the reasoning capabilities of large language models effectively using reinforcement learning (RL) remains a crucial challenge. Existing approaches primarily adopt two contrasting advantage estimation granularities: token-level…

Machine Learning · Computer Science 2025-10-22 Yiran Guo , Lijie Xu , Jie Liu , Dan Ye , Shuang Qiu
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