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Chain-of-Thought (CoT) prompting is a widely used inference-time technique for improving reasoning, yet its gains are uneven across tasks. We analyze when and why CoT helps by modeling the step-wise reasoning trajectory as a Markov chain.…

Machine Learning · Computer Science 2026-03-03 Zihan Wang , Yijun Dong , Qi Lei

Scaling inference compute enhances reasoning in large language models (LLMs), with long chains-of-thought (CoTs) enabling strategies like backtracking and error correction. Reinforcement learning (RL) has emerged as a crucial method for…

Computation and Language · Computer Science 2025-02-06 Edward Yeo , Yuxuan Tong , Morry Niu , Graham Neubig , Xiang Yue

Chain-of-thought (CoT) has proven to improve the reasoning capability of large language models (LLMs). However, due to the complexity of multimodal scenarios and the difficulty in collecting high-quality CoT data, CoT reasoning in…

Machine Learning · Computer Science 2024-11-05 Kanzhi Cheng , Yantao Li , Fangzhi Xu , Jianbing Zhang , Hao Zhou , Yang Liu

Chain-of-Thought (CoT) reasoning has emerged as a powerful tool for enhancing the problem-solving capabilities of large language models (LLMs). However, the theoretical foundations of learning from CoT data remain underdeveloped, and…

Artificial Intelligence · Computer Science 2025-07-29 Shai Shalev-Shwartz , Amnon Shashua

Chain-of-Thought (CoT) has unlocked advanced reasoning abilities of Large Language Models (LLMs) with intermediate steps, yet incurs prohibitive computational costs due to generation of extra tokens. Recent studies empirically show that…

Artificial Intelligence · Computer Science 2026-05-27 Juncai Li , Ru Li , Yuxiang Zhou , Boxiang Ma , Jeff Z. Pan

Chain-of-Thought (CoT) reasoning improves performance on complex tasks but introduces significant inference latency due to verbosity. We propose Multiround Adaptive Chain-of-Thought Compression (MACC), a framework that leverages the token…

Computation and Language · Computer Science 2025-09-29 Jianzhi Yan , Le Liu , Youcheng Pan , Shiwei Chen , Zike Yuan , Yang Xiang , Buzhou Tang

Large reasoning models improve accuracy by producing long reasoning traces, but this inflates latency and cost, motivating inference-time efficiency. We propose Retrieval-of-Thought (RoT), which reuses prior reasoning as composable…

Artificial Intelligence · Computer Science 2026-05-12 Ammar Ahmed , Azal Ahmad Khan , Ayaan Ahmad , Sheng Di , Zirui Liu , Ali Anwar

While long, explicit chains-of-thought (CoT) have proven effective on complex reasoning tasks, they are costly to generate during inference. Non-verbal reasoning methods have emerged with shorter generation lengths by leveraging continuous…

Computation and Language · Computer Science 2026-04-28 Keshav Ramji , Tahira Naseem , Ramón Fernandez Astudillo

Chain of Thought (CoT) reasoning enhances language models' performance but often leads to inefficient "overthinking" on simple problems. We identify that existing approaches directly penalizing reasoning length fail to account for varying…

Computation and Language · Computer Science 2025-05-22 Junjie Yang , Ke Lin , Xing Yu

Reasoning with a chain-of-thought (CoT) enables Large Language Models (LLMs) to solve complex tasks but incurs significant inference costs due to the generation of long rationales. We propose Thinking States, a method that performs…

Computation and Language · Computer Science 2026-02-10 Ido Amos , Avi Caciularu , Mor Geva , Amir Globerson , Jonathan Herzig , Lior Shani , Idan Szpektor

Chain-of-Thought (CoT) reasoning enhances the problem-solving ability of large language models (LLMs) but leads to substantial inference overhead, limiting deployment in resource-constrained settings. This paper investigates efficient CoT…

Artificial Intelligence · Computer Science 2025-12-03 Ziqian Bi , Kaijie Chen , Tianyang Wang , Junfeng Hao , Benji Peng , Xinyuan Song

Chain-of-Thought (CoT) prompting substantially improves the sample efficiency of transformers, reducing the complexity of tasks like parity learning from exponential to polynomial in the input length. However, generating explicit reasoning…

Machine Learning · Computer Science 2026-05-28 Yixiao Huang , Hanlin Zhu , Zixuan Wang , Jiantao Jiao , Stuart Russell , Somayeh Sojoudi , Song Mei

Large Language Models (LLMs) have demonstrated remarkable abilities across various language tasks, but solving complex reasoning problems remains a significant challenge. While existing methods, such as Chain-of-Thought (CoT) and…

Computation and Language · Computer Science 2025-04-02 Zhenni Bi , Kai Han , Chuanjian Liu , Yehui Tang , Yunhe Wang

Chain-of-Thought (CoT) reasoning has become a foundation for eliciting multi-step reasoning in large language models, but recent studies show that its benefits do not scale monotonically with chain length: while longer CoT generally enables…

Artificial Intelligence · Computer Science 2026-05-19 Bin Lei , Caiwen Ding , Jiachen Yang , Ang Li , Xin Eric Wang

We study how to extend chain-of-thought (CoT) beyond language to better handle multimodal reasoning. While CoT helps LLMs and VLMs articulate intermediate steps, its text-only form often fails on vision-intensive problems where key…

Artificial Intelligence · Computer Science 2026-02-03 Yifei Shao , Kun Zhou , Ziming Xu , Mohammad Atif Quamar , Shibo Hao , Zhen Wang , Zhiting Hu , Biwei Huang

Chain-of-Thought (CoT) prompting has emerged as a powerful approach to enhancing the reasoning capabilities of Large Language Models (LLMs). However, existing implementations, such as in-context learning and fine-tuning, remain costly and…

Computation and Language · Computer Science 2025-10-02 Li Li , Ziyi Wang , Yongliang Wu , Jianfei Cai , Xu Yang

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

While Chain-of-Thought (CoT) reasoning improves model performance, it incurs significant time costs due to the generation of discrete CoT tokens (DCoT). Continuous CoT (CCoT) offers a more efficient alternative, but existing CCoT methods…

Computation and Language · Computer Science 2025-08-04 Jianwei Wang , Ziming Wu , Fuming Lai , Shaobing Lian , Ziqian Zeng

Recently, Chain-of-Thought (CoT) prompting has delivered success on complex reasoning tasks, which aims at designing a simple prompt like ``Let's think step by step'' or multiple in-context exemplars with well-designed rationales to elicit…

Computation and Language · Computer Science 2024-06-04 Jianing Wang , Qiushi Sun , Xiang Li , Ming Gao

Chain-of-Thought (CoT) reasoning enables Large Language Models (LLMs) to solve complex reasoning tasks by generating intermediate reasoning steps. However, most existing approaches focus on hard token decoding, which constrains reasoning…

Computation and Language · Computer Science 2025-05-28 Yige Xu , Xu Guo , Zhiwei Zeng , Chunyan Miao
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