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In recent years, large language models (LLMs) have demonstrated significant potential in complex reasoning tasks like mathematical problem-solving. However, existing research predominantly relies on reinforcement learning (RL) frameworks…

Machine Learning · Computer Science 2026-01-12 ShaoZhen Liu , Xinting Huang , Houwen Peng , Xin Chen , Xinyang Song , Qi Li , Zhenan Sun

Recent methods have demonstrated that Large Language Models (LLMs) can solve reasoning tasks better when they are encouraged to solve subtasks of the main task first. In this paper we devise a similar strategy that breaks down reasoning…

Computation and Language · Computer Science 2024-11-20 Zhuofeng Wu , He Bai , Aonan Zhang , Jiatao Gu , VG Vinod Vydiswaran , Navdeep Jaitly , Yizhe Zhang

Large Language Models (LLMs) face significant accuracy degradation due to insufficient reasoning ability when dealing with complex and abstract tasks. Thought structures such as Chain of Thought (CoT) and Tree of Thought (ToT) focus on…

Computation and Language · Computer Science 2025-09-29 Fengxiao Tang , Yufeng Li , Zongzong Wu , Ming Zhao

Despite rapid advancements in large language models (LLMs), the token-level autoregressive nature constrains their complex reasoning capabilities. To enhance LLM reasoning, inference-time techniques, including…

Artificial Intelligence · Computer Science 2026-01-28 Qianyue Hao , Sibo Li , Jian Yuan , Yong Li

Chain-of-thought distillation is a powerful technique for transferring reasoning abilities from large language models (LLMs) to smaller student models. Previous methods typically require the student to mimic the step-by-step rationale…

Computation and Language · Computer Science 2024-05-28 Kaituo Feng , Changsheng Li , Xiaolu Zhang , Jun Zhou , Ye Yuan , Guoren Wang

Reasoning capability is pivotal for Large Language Models (LLMs) to solve complex tasks, yet achieving reliable and scalable reasoning remains challenging. While Chain-of-Thought (CoT) prompting has become a mainstream approach, existing…

Computation and Language · Computer Science 2025-10-07 Honglin Lin , Qizhi Pei , Xin Gao , Zhuoshi Pan , Yu Li , Juntao Li , Conghui He , Lijun Wu

Multi-step Chain-of-Thought (CoT) has significantly advanced the mathematical reasoning capabilities of LLMs by leveraging explicit reasoning steps. However, the widespread adoption of Long CoT often results in sequence lengths that exceed…

Computation and Language · Computer Science 2026-05-29 Jia-Chen Zhang , Yu-Jie Xiong , Zheng Zhou

The verbosity of Chain-of-Thought (CoT) reasoning hinders its mass deployment in efficiency-critical applications. Recently, implicit CoT approaches have emerged, which encode reasoning steps within LLM's hidden embeddings (termed…

Computation and Language · Computer Science 2026-01-28 Yinhan He , Wendy Zheng , Yaochen Zhu , Zaiyi Zheng , Lin Su , Sriram Vasudevan , Qi Guo , Liangjie Hong , Jundong Li

In recent years, large language models (LLMs) have witnessed remarkable advancements, with the test-time scaling law consistently enhancing the reasoning capabilities. Through systematic evaluation and exploration of a diverse spectrum of…

Computation and Language · Computer Science 2025-11-03 Chenyang Shao , Sijian Ren , Fengli Xu , Yong Li

Large Language Models (LLMs) have demonstrated remarkable capabilities but often face challenges with tasks requiring sophisticated reasoning. While Chain-of-Thought (CoT) prompting significantly enhances reasoning, it indiscriminately…

Machine Learning · Computer Science 2025-05-27 Chenwei Lou , Zewei Sun , Xinnian Liang , Meng Qu , Wei Shen , Wenqi Wang , Yuntao Li , Qingping Yang , Shuangzhi Wu

Recently, DeepSeek-R1 (671B) (DeepSeek-AIet al., 2025) has demonstrated its excellent reasoning ability in complex tasks and has publiclyshared its methodology. This provides potentially high-quality chain-of-thought (CoT) data for…

Artificial Intelligence · Computer Science 2025-04-17 Qianjin Yu , Keyu Wu , Zihan Chen , Chushu Zhang , Manlin Mei , Lingjun Huang , Fang Tan , Yongsheng Du , Kunlin Liu , Yurui Zhu

Chain-of-Thought (CoT) reasoning has significantly advanced Large Language Models (LLMs) in solving complex tasks. However, its autoregressive paradigm leads to significant computational overhead, hindering its deployment in…

Computation and Language · Computer Science 2025-08-29 Nan Jiang , Ziming Wu , De-Chuan Zhan , Fuming Lai , Shaobing Lian

Large language models (LLMs) can achieve highly effective performance on various reasoning tasks by incorporating step-by-step chain-of-thought (CoT) prompting as demonstrations. However, the reasoning chains of demonstrations generated by…

Computation and Language · Computer Science 2024-03-18 Jiashuo Sun , Yi Luo , Yeyun Gong , Chen Lin , Yelong Shen , Jian Guo , Nan Duan

Effective query-item relevance modeling is pivotal for enhancing user experience and safeguarding user satisfaction in e-commerce search systems. Recently, benefiting from the vast inherent knowledge, Large Language Model (LLM) approach…

Information Retrieval · Computer Science 2025-02-11 Gang Zhao , Ximing Zhang , Chenji Lu , Hui Zhao , Tianshu Wu , Pengjie Wang , Jian Xu , Bo Zheng

Large language models (LLMs) are increasingly being applied to clinical care, a domain where both accuracy and transparent reasoning are critical for safe and trustworthy deployment. Chain-of-thought (CoT) prompting, which elicits…

Computation and Language · Computer Science 2025-12-09 Jiageng Wu , Kevin Xie , Bowen Gu , Nils Krüger , Kueiyu Joshua Lin , Jie Yang

Chain-of-thought (CoT) reasoning enables large language models (LLMs) to break down complex problems into interpretable intermediate steps, significantly enhancing model transparency and performance in reasoning tasks. However, conventional…

Machine Learning · Computer Science 2026-01-30 Junda Wu , Yuxin Xiong , Xintong Li , Sheldon Yu , Zhengmian Hu , Tong Yu , Rui Wang , Xiang Chen , Jingbo Shang , Julian McAuley

Research on LLM technologies is rapidly emerging, with most of them employ a 'fast thinking' approach to inference. Most LLMs generate the final result based solely on a single query and LLM's reasoning capabilities. However, with the…

Computation and Language · Computer Science 2025-11-14 Jianfeng Pan , Senyou Deng , Shaomang Huang

In this paper, we address the challenging task of multimodal mathematical reasoning by incorporating the ability of "slow thinking" into multimodal large language models (MLLMs). Our core idea is that different levels of reasoning abilities…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Kun Xiang , Zhili Liu , Zihao Jiang , Yunshuang Nie , Kaixin Cai , Yiyang Yin , Runhui Huang , Haoxiang Fan , Hanhui Li , Weiran Huang , Yihan Zeng , Yu-Jie Yuan , Jianhua Han , Lanqing Hong , Hang Xu , Xiaodan Liang

Recently, Large Language Models (LLMs) have demonstrated remarkable capabilities. Chain-of-Thought (CoT) has been proposed as a way of assisting LLMs in performing complex reasoning. However, developing effective prompts can be a…

Machine Learning · Computer Science 2023-06-02 Yuxin Tang

Solving mathematical problems using computer-verifiable languages like Lean has significantly impacted the mathematical and computer science communities. State-of-the-art methods utilize a single Large Language Model (LLM) to generate…

Computation and Language · Computer Science 2025-05-28 Ruida Wang , Rui Pan , Yuxin Li , Jipeng Zhang , Yizhen Jia , Shizhe Diao , Renjie Pi , Junjie Hu , Tong Zhang