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Large reasoning models (LRMs), such as OpenAI's o1 and DeepSeek-R1, harness test-time scaling to perform multi-step reasoning for complex problem-solving. This reasoning process, executed before producing final answers, is often guided by…

Computation and Language · Computer Science 2026-03-10 Chongyu Fan , Yihua Zhang , Jinghan Jia , Alfred Hero , Sijia Liu

Large Language Models (LLMs) have demonstrated significant potential in handling complex reasoning tasks through step-by-step rationale generation. However, recent studies have raised concerns regarding the hallucination and flaws in their…

Artificial Intelligence · Computer Science 2024-10-16 Fangkai Jiao , Chengwei Qin , Zhengyuan Liu , Nancy F. Chen , Shafiq Joty

Reasoning language models have shown an uncanny ability to improve performance at test-time by ``thinking longer''-that is, by generating longer chain-of-thought sequences and hence using more compute. However, the length of their…

Computation and Language · Computer Science 2025-10-06 Pranjal Aggarwal , Sean Welleck

Recent LLMs have significantly improved reasoning capabilities, primarily by including an explicit, lengthy Thinking process as part of generation. In this paper, we question whether this explicit thinking is necessary. Using the…

Artificial Intelligence · Computer Science 2025-04-15 Wenjie Ma , Jingxuan He , Charlie Snell , Tyler Griggs , Sewon Min , Matei Zaharia

Reasoning is critical for large language models (LLMs) to excel in a wide range of tasks. While methods like Chain-of-Thought (CoT) reasoning and enhance LLM performance by decomposing problems into intermediate steps, they also incur…

Computation and Language · Computer Science 2025-06-03 Tingxu Han , Zhenting Wang , Chunrong Fang , Shiyu Zhao , Shiqing Ma , Zhenyu Chen

Recent advances in large language models (LLMs) have introduced latent reasoning as a promising alternative to autoregressive reasoning. By performing internal computation with hidden states from previous steps, latent reasoning benefit…

Computation and Language · Computer Science 2025-10-24 Zhenrui Yue , Bowen Jin , Huimin Zeng , Honglei Zhuang , Zhen Qin , Jinsung Yoon , Lanyu Shang , Jiawei Han , Dong Wang

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

Recent reasoning large language models (LLMs) have demonstrated remarkable improvements in mathematical reasoning capabilities through long Chain-of-Thought. The reasoning tokens of these models enable self-correction within reasoning…

Artificial Intelligence · Computer Science 2025-04-02 Yu Cui , Bryan Hooi , Yujun Cai , Yiwei Wang

Test-time scaling has proven effective in further enhancing the performance of pretrained Large Language Models (LLMs). However, mainstream post-training methods (i.e., reinforcement learning (RL) with chain-of-thought (CoT) reasoning)…

Machine Learning · Computer Science 2025-08-19 Yuyang Xu , Yi Cheng , Haochao Ying , Zhuoyun Du , Renjun Hu , Xing Shi , Wei Lin , Jian Wu

Large Language Models (LLMs) have shown impressive reasoning capabilities in well-defined problems with clear solutions, such as mathematics and coding. However, they still struggle with complex real-world scenarios like business…

Computation and Language · Computer Science 2025-05-29 Xiaoqian Liu , Ke Wang , Yongbin Li , Yuchuan Wu , Wentao Ma , Aobo Kong , Fei Huang , Jianbin Jiao , Junge Zhang

Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

Reinforcement learning (RL) has emerged as a key paradigm for aligning and optimizing large language models (LLMs). Standard approaches treat the LLM as the policy and apply RL directly over the full vocabulary space. However, this…

Machine Learning · Computer Science 2026-02-17 Jing-Cheng Pang , Liang Lu , Xian Tang , Kun Jiang , Sijie Wu , Kai Zhang , Xubin Li

Reinforcement Learning (RL)-based post-training has significantly advanced the complex reasoning capabilities of language models, fostering sophisticated self-reflection processes. However, this ``slow thinking'' paradigm presents a…

Machine Learning · Computer Science 2025-06-24 Xu Wan , Wei Wang , Wenyue Xu , Wotao Yin , Jie Song , Mingyang Sun

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

Recent advances in Large Reasoning Models (LRMs) have demonstrated strong performance on complex tasks through long Chain-of-Thought (CoT) reasoning. However, their lengthy outputs increase computational costs and may lead to overthinking,…

Artificial Intelligence · Computer Science 2026-04-16 Bin Hong , Jiayu Liu , Kai Zhang , Jianwen Sun , Mengdi Zhang , Zhenya Huang

Scaling test-time compute through extended chains of thought has become a dominant paradigm for improving large language model reasoning. However, existing research implicitly assumes that longer thinking always yields better results. This…

Artificial Intelligence · Computer Science 2026-04-14 Shu Zhou , Rui Ling , Junan Chen , Xin Wang , Tao Fan , Hao Wang

Proximal Policy Optimization (PPO) is central to aligning Large Language Models (LLMs) in reasoning tasks with verifiable rewards. However, standard token-level PPO struggles in this setting due to the instability of temporal credit…

Artificial Intelligence · Computer Science 2026-04-13 Tianyi Wang , Yixia Li , Long Li , Yibiao Chen , Shaohan Huang , Yun Chen , Peng Li , Yang Liu , Guanhua Chen

Tool-integrated reasoning (TIR) augments large language models (LLMs) with the ability to invoke external tools during long-form reasoning, such as search engines and code interpreters, to solve tasks beyond the capabilities of internal…

Artificial Intelligence · Computer Science 2025-06-03 Hongru Wang , Cheng Qian , Wanjun Zhong , Xiusi Chen , Jiahao Qiu , Shijue Huang , Bowen Jin , Mengdi Wang , Kam-Fai Wong , Heng Ji

Large Reasoning Models (LRMs) increasingly rely on reasoning traces with complex internal structures. However, existing work lacks a unified answer to three fundamental questions: (1) what defines high-quality reasoning, (2) how to reliably…

Computation and Language · Computer Science 2026-02-10 Haoran Zhang , Yafu Li , Zhi Wang , Zhilin Wang , Shunkai Zhang , Xiaoye Qu , Yu Cheng

Test-time scaling has significantly improved large language model performance, enabling deeper reasoning to solve complex problems. However, this increased reasoning capability also leads to excessive token generation and unnecessary…