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Reinforcement Learning (RL) has enabled Large Language Models (LLMs) to achieve remarkable reasoning in domains like mathematics and coding, where verifiable rewards provide clear signals. However, extending this paradigm to financial…

Artificial Intelligence · Computer Science 2026-01-09 Rui Sun , Yifan Sun , Sheng Xu , Li Zhao , Jing Li , Daxin Jiang , Cheng Hua , Zuo Bai

Reinforcement Learning with Verifiable Rewards (RLVR) has catalyzed significant breakthroughs in complex LLM reasoning within verifiable domains, such as mathematics and programming. Recent efforts have sought to extend this paradigm to…

Machine Learning · Computer Science 2026-02-03 Zheng Zhang , Ao Lu , Yuanhao Zeng , Ziwei Shan , Jinjin Guo , Lufei Li , Yexin Li , Kan Ren

Process Reward Models (PRMs) aim to improve multi-step reasoning in Large Language Models (LLMs) by supervising intermediate steps and identifying errors. However, building effective PRMs remains challenging due to the lack of scalable,…

Artificial Intelligence · Computer Science 2025-10-17 Yao Zhang , Yu Wu , Haowei Zhang , Weiguo Li , Haokun Chen , Jingpei Wu , Guohao Li , Zhen Han , Volker Tresp

In continuing tasks, average-reward reinforcement learning may be a more appropriate problem formulation than the more common discounted reward formulation. As usual, learning an optimal policy in this setting typically requires a large…

Artificial Intelligence · Computer Science 2023-01-18 Yuqian Jiang , Sudarshanan Bharadwaj , Bo Wu , Rishi Shah , Ufuk Topcu , Peter Stone

Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a promising paradigm for enhancing reasoning in Large Language Models (LLMs). However, existing reward formulations typically treat exploration and consolidation as a…

Machine Learning · Computer Science 2026-05-15 Wenze Lin , Zhen Yang , Xitai Jiang , Xiaoteng Ma , Gao Huang

Large language models (LLMs) are increasingly deployed as intelligent tutoring systems, yet research on optimizing LLMs specifically for educational contexts remains limited. Recent works have proposed reinforcement learning approaches for…

Computation and Language · Computer Science 2026-01-22 Unggi Lee , Jiyeong Bae , Jaehyeon Park , Haeun Park , Taejun Park , Younghoon Jeon , Sungmin Cho , Junbo Koh , Yeil Jeong , Gyeonggeon Lee

Reinforcement learning-based retrieval-augmented generation (RAG) methods enhance the reasoning abilities of large language models (LLMs). However, most rely only on final-answer rewards, overlooking intermediate reasoning quality. This…

Computation and Language · Computer Science 2025-08-07 Jie He , Victor Gutiérrez-Basulto , Jeff Z. Pan

Test-Time Scaling (TTS) has significantly enhanced the capabilities of Large Reasoning Models (LRMs) but introduces a critical side-effect known as Overthinking. We conduct a preliminary study to rethink this phenomenon from a fine-grained…

Computation and Language · Computer Science 2026-02-10 Kaiyan Chang , Chenwei Zhu , Yingfeng Luo , Yifu Huo , Chenglong Wang , Xiaoqian Liu , Qiaozhi He , Tong Xiao , Zhengtao Yu , Jingbo Zhu

Stepwise model routing improves the efficiency of Large Reasoning Models (LRMs) by assigning each reasoning step to a suitable model. Recent methods formulate routing as a sequential decision process and train the router with reinforcement…

Artificial Intelligence · Computer Science 2026-05-29 Shenghao Ye , Yu Guo , Zhengheng Li , Shuangwu Chen , Jian Yang

Large Language Models (LLMs) have achieved significant advances in reasoning tasks. A key approach is tree-based search with verifiers, which expand candidate reasoning paths and use reward models to guide pruning and selection. Although…

Artificial Intelligence · Computer Science 2025-10-01 Yingqian Cui , Zhenwei Dai , Pengfei He , Bing He , Hui Liu , Xianfeng Tang , Jingying Zeng , Suhang Wang , Yue Xing , Jiliang Tang , Benoit Dumoulin

Looped Language Models (LoopLMs) perform multi-step latent reasoning prior to token generation and outperform conventional LLMs on reasoning benchmarks at smaller parameter budgets. However, attempts to further improve LoopLM reasoning with…

Machine Learning · Computer Science 2026-05-29 Jonathan Williams , Esin Tureci

Reinforcement learning with verifiable rewards (RLVR) has been shown to enhance the reasoning capabilities of large language models (LLMs), enabling the development of large reasoning models (LRMs). However, LRMs such as DeepSeek-R1 and…

Artificial Intelligence · Computer Science 2025-11-13 Yuhao Wang , Xiaopeng Li , Cheng Gong , Ziru Liu , Suiyun Zhang , Rui Liu , Xiangyu Zhao

Recent advancements in large language models (LLMs) have shifted the post-training paradigm from traditional instruction tuning and human preference alignment toward reinforcement learning (RL) focused on reasoning capabilities. However,…

Artificial Intelligence · Computer Science 2025-11-12 Qianxi He , Qingyu Ren , Shanzhe Lei , Xuhong Wang , Yingchun Wang

Reinforcement learning post-training has substantially improved the reasoning accuracy of vision-language models, yet the resulting policies remain poorly calibrated. Terminal correctness rewards provide no gradient that penalizes confident…

Machine Learning · Computer Science 2026-05-19 Peng Cui , Boyao Yang , Jun Zhu

Diffusion-based large language models offer a non-autoregressive alternative for text generation, but enabling them to perform complex reasoning remains challenging. Reinforcement learning has recently emerged as an effective post-training…

Artificial Intelligence · Computer Science 2026-04-14 Shaoan Xie , Lingjing Kong , Xiangchen Song , Xinshuai Dong , Guangyi Chen , Eric P. Xing , Kun Zhang

Foundation models encode rich structural knowledge but often rely on post-training procedures to adapt their reasoning behavior to specific tasks. Popular approaches such as reinforcement learning with verifiable rewards (RLVR) and…

Machine Learning · Computer Science 2026-01-21 Dake Bu , Wei Huang , Andi Han , Atsushi Nitanda , Bo Xue , Qingfu Zhang , Hau-San Wong , Taiji Suzuki

The central challenge of reinforcement learning for reasoning lies not only in the sparsity of outcome-level supervision, but more fundamentally in how to transform feedback provided only at the end of a sequence into fine-grained learning…

Machine Learning · Computer Science 2026-05-26 Fei Ding , Yongkang Zhang , Runhao Liu , Yuhao Liao , Zijian Zeng , Sibo wang , Huiming Yang

Process Reward Models (PRMs) have recently emerged as a powerful framework for enhancing the reasoning capabilities of large reasoning models (LRMs), particularly in the context of test-time scaling (TTS). However, their potential for…

Artificial Intelligence · Computer Science 2025-10-08 Jiaru Zou , Soumya Roy , Vinay Kumar Verma , Ziyi Wang , David Wipf , Pan Lu , Sumit Negi , James Zou , Jingrui He

Reasoning abilities, especially those for solving complex math problems, are crucial components of general intelligence. Recent advances by proprietary companies, such as o-series models of OpenAI, have made remarkable progress on reasoning…

External reasoning systems combine language models with process reward models (PRMs) to select high-quality reasoning paths for complex tasks such as mathematical problem solving. However, these systems are prone to reward hacking, where…

Machine Learning · Computer Science 2025-08-07 Ruike Song , Zeen Song , Huijie Guo , Wenwen Qiang