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Chain-of-thought (CoT) advances the reasoning abilities of large language models (LLMs) and achieves superior performance in complex reasoning tasks. However, most CoT studies rely on carefully designed human-annotated rational chains to…

Computation and Language · Computer Science 2024-02-28 KaShun Shum , Shizhe Diao , Tong Zhang

Learning complex functions that involve multi-step reasoning poses a significant challenge for standard supervised learning from input-output examples. Chain-of-thought (CoT) supervision, which provides intermediate reasoning steps together…

Machine Learning · Statistics 2025-05-23 Awni Altabaa , Omar Montasser , John Lafferty

Recent advancements in large language models (LLMs) have demonstrated remarkable reasoning capabilities through long chain-of-thought (CoT) reasoning. The R1 distillation scheme has emerged as a promising approach for training…

Artificial Intelligence · Computer Science 2025-03-21 Yijia Luo , Yulin Song , Xingyao Zhang , Jiaheng Liu , Weixun Wang , GengRu Chen , Wenbo Su , Bo Zheng

Large Language Models (LLMs) have revolutionized natural language processing and hold immense potential for advancing Artificial Intelligence. However, the core architecture of most mainstream LLMs -- the Transformer -- has inherent…

Computation and Language · Computer Science 2024-10-21 Xiang Zhang , Dujian Ding

Distilling Chain-of-Thought (CoT) reasoning from large language models into compact student models presents a fundamental challenge: teacher rationales are often too verbose for smaller models to faithfully reproduce. Existing approaches…

Machine Learning · Computer Science 2026-03-06 Bowen Yu , Maolin Wang , Sheng Zhang , Binhao Wang , Yi Wen , Jingtong Gao , Bowen Liu , Zimo Zhao , Wanyu Wang , Xiangyu Zhao

Chain-of-Thought (CoT) reasoning has been widely adopted to enhance Large Language Models (LLMs) by decomposing complex tasks into simpler, sequential subtasks. However, extending CoT to vision-language reasoning tasks remains challenging,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Luozheng Qin , Jia Gong , Yuqing Sun , Tianjiao Li , Mengping Yang , Xiaomeng Yang , Chao Qu , Zhiyu Tan , Hao Li

Chain-of-Thought (CoT) Prompting is a dominant paradigm in Large Language Models (LLMs) to enhance complex reasoning. It guides LLMs to present multi-step reasoning, rather than generating the final answer directly. However, CoT encounters…

Computation and Language · Computer Science 2025-09-25 Dong-Hai Zhu , Yu-Jie Xiong , Jia-Chen Zhang , Xi-Jiong Xie , Chun-Ming Xia

Chain-of-thought (CoT) prompting has demonstrated the capacity of large language models to perform complex reasoning through intermediate steps. While effective, current CoT methods face challenges: Zero-shot-CoT can lead to reasoning…

Computation and Language · Computer Science 2025-02-12 Ziqi Jin , Wei Lu

In-context learning (ICL) is a hallmark capability of transformers, through which trained models learn to adapt to new tasks by leveraging information from the input context. Prior work has shown that ICL emerges in transformers due to the…

Chain-of-Thought (CoT) prompting has emerged as a simple and effective way to elicit step-by-step solutions from large language models (LLMs). However, CoT reasoning can be unstable across runs on long, multi-step problems, leading to…

Artificial Intelligence · Computer Science 2026-04-28 Shuxu Chen , Yitian Zhou , Jiaquan Zhang , Haoyu Bian , Aming Wu , Sungyoung Lee , Chaoning Zhang , Hyundong Shin

Robot chain-of-thought reasoning (CoT) -- wherein a model predicts helpful intermediate representations before choosing actions -- provides an effective method for improving the generalization and performance of robot policies, especially…

Robotics · Computer Science 2025-05-20 William Chen , Suneel Belkhale , Suvir Mirchandani , Oier Mees , Danny Driess , Karl Pertsch , Sergey Levine

Compressing long chains of thought (CoT) into compact latent tokens is crucial for efficient reasoning with large language models (LLMs). Recent studies employ autoencoders to achieve this by reconstructing textual CoT from latent tokens,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Xiaoshu Chen , Sihang Zhou , Ke Liang , Taichun Zhou , Xinwang Liu

Explicit Chain-of-Thought improves the reasoning performance of large language models but often incurs high inference cost due to verbose token-level traces. While recent approaches reduce this overhead via concise prompting or step…

Computation and Language · Computer Science 2026-03-09 Yunlong Chu , Minglai Shao , Yuhang Liu , Bing Hao , Yumeng Lin , Jialu Wang , Ruijie Wang

The reasoning capabilities of Large Language Models (LLMs) have led to their increasing employment in several critical applications, particularly education, where they support problem-solving, tutoring, and personalized study.…

Human-Computer Interaction · Computer Science 2026-01-27 Runtao Zhou , Giang Nguyen , Nikita Kharya , Anh Totti Nguyen , Chirag Agarwal

Large language models (LLMs) often fail to learn effective long chain-of-thought (Long CoT) reasoning from human or non-Long-CoT LLMs imitation. To understand this, we propose that effective and learnable Long CoT trajectories feature…

Computation and Language · Computer Science 2026-01-14 Qiguang Chen , Yantao Du , Ziniu Li , Jinhao Liu , Songyao Duan , Jiarui Guo , Minghao Liu , Jiaheng Liu , Tong Yang , Ge Zhang , Libo Qin , Wanxiang Che , Wenhao Huang

Reasoning large language models (LLMs) have demonstrated superior capacities in solving complicated problems by generating long chain-of-thoughts (CoT), but such a lengthy CoT incurs high inference costs. Previous methods on inference-stage…

Computation and Language · Computer Science 2026-05-19 Minjia Mao , Bowen Yin , Yu Zhu , Xiao Fang

Chain-of-thought (CoT) prompting demonstrates varying performance under different reasoning tasks. Previous work attempts to evaluate it but falls short in providing an in-depth analysis of patterns that influence the CoT. In this paper, we…

Computation and Language · Computer Science 2025-06-03 Jiachun Li , Pengfei Cao , Yubo Chen , Jiexin Xu , Huaijun Li , Xiaojian Jiang , Kang Liu , Jun Zhao

Recent theoretical work has identified surprisingly simple reasoning problems, such as checking if two nodes in a graph are connected or simulating finite-state machines, that are provably unsolvable by standard transformers that answer…

Machine Learning · Computer Science 2024-04-15 William Merrill , Ashish Sabharwal

Chain-of-thought (CoT) reasoning and its variants have substantially improved the performance of language models on complex reasoning tasks, yet the precise mechanisms by which different strategies facilitate generalization remain poorly…

Computation and Language · Computer Science 2026-02-11 Archiki Prasad , Mandar Joshi , Kenton Lee , Mohit Bansal , Peter Shaw

Chain-of-thought (CoT) reasoning has become a central mechanism for eliciting multi-step reasoning in Large Language Models (LLMs). Yet recent evidence presents a tension: hidden states appear to already encode future reasoning before CoT…

Machine Learning · Computer Science 2026-05-29 Liyan Xu , Mo Yu , Fandong Meng , Jie Zhou
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