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Chain-of-Thought (CoT) reasoning is known to improve Large Language Models both empirically and in terms of theoretical approximation power. However, our understanding of the inner workings and conditions of apparition of CoT capabilities…

Machine Learning · Computer Science 2024-10-29 Vivien Cabannes , Charles Arnal , Wassim Bouaziz , Alice Yang , Francois Charton , Julia Kempe

Large language models (LLMs) have shown impressive performance on complex reasoning by leveraging chain-of-thought (CoT) prompting to generate intermediate reasoning chains as the rationale to infer the answer. However, existing CoT studies…

Computation and Language · Computer Science 2024-05-21 Zhuosheng Zhang , Aston Zhang , Mu Li , Hai Zhao , George Karypis , Alex Smola

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

While Chain-of-Thought (CoT) prompting has significantly advanced the reasoning capabilities of Multimodal Large Language Models (MLLMs), relying solely on linear text sequences remains a bottleneck for complex tasks. We observe that even…

Computation and Language · Computer Science 2026-02-12 Lingzhuang Sun , Yuxia Zhu , Ruitong Liu , Hao Liang , Zheng Sun , Caijun Jia , Honghao He , Yuchen Wu , Siyuan Li , Jingxuan Wei , Xiangxiang Zhang , Bihui Yu , Wentao Zhang

Test-Time Scaling (TTS) refers to approaches that improve reasoning performance by allocating extra computation during inference, without altering the model's parameters. While existing TTS methods operate in a discrete token space by…

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

Chain-of-thoughts (CoT) requires large language models (LLMs) to generate intermediate steps before reaching the final answer, and has been proven effective to help LLMs solve complex reasoning tasks. However, the inner mechanism of CoT…

Computation and Language · Computer Science 2025-05-09 Fangwei Zhu , Peiyi Wang , Zhifang Sui

A common approach for teaching large language models (LLMs) to reason is to train on chain-of-thought (CoT) traces of in-distribution reasoning problems, but such annotated data is costly to obtain for every problem of interest. We want…

Computation and Language · Computer Science 2025-05-29 Fangcong Yin , Zeyu Leo Liu , Liu Leqi , Xi Ye , Greg Durrett

Chain-of-Thought (CoT) reasoning successfully enhances the reasoning capabilities of Large Language Models (LLMs), yet it incurs substantial computational overhead for inference. Existing CoT compression methods often suffer from a critical…

Machine Learning · Computer Science 2026-05-26 Yuntian Tang , Bohan Jia , Wenxuan Huang , Lianyue Zhang , Jiao Xie , Wenxi Li , Wei Li , Jie Hu , Xinghao Chen Rongrong Ji , Shaohui Lin

Chain of thought (CoT) fine-tuning aims to endow large language models (LLMs) with reasoning capabilities by training them on curated reasoning traces. It leverages both supervised and reinforced fine-tuning to cultivate human-like…

Computation and Language · Computer Science 2026-03-24 Xiaoshu Chen , Sihang Zhou , Ke Liang , Duanyang Yuan , Haoyuan Chen , Xiaoyu Sun , Lingyuan Meng , Xinwang Liu

Large language models (LLMs) have shown impressive emergent abilities in a wide range of tasks, but the associated expensive API cost greatly limits the real application. Previous works like chain-of-thought (CoT) and tree-of-thoughts (ToT)…

Computation and Language · Computer Science 2024-08-27 Yu Shang , Yu Li , Fengli Xu , Yong Li

Large Language Models (LLMs) are pivotal in advancing natural language processing but often struggle with complex reasoning tasks due to inefficient attention distributions. In this paper, we explore the effect of increased computed tokens…

Computation and Language · Computer Science 2024-06-25 Bingli Liao , Danilo Vasconcellos Vargas

Large Language Models (LLMs) using Chain-of-Thought (CoT) prompting excel at complex reasoning but generate verbose thought processes with considerable redundancy, leading to increased inference costs and reduced efficiency. We introduce a…

Artificial Intelligence · Computer Science 2026-02-17 Zeju Li , Jianyuan Zhong , Ziyang Zheng , Xiangyu Wen , Zhijian Xu , Yingying Cheng , Fan Zhang , Qiang Xu

Generating intermediate steps, or Chain of Thought (CoT), is an effective way to significantly improve language models' (LM) multi-step reasoning capability. However, the CoT lengths can grow rapidly with the problem complexity, easily…

Computation and Language · Computer Science 2023-06-13 Soochan Lee , Gunhee Kim

Large Language Models (LLMs) have shown impressive performance in complex reasoning tasks through the use of Chain-of-Thought (CoT) reasoning, allowing models to break down problems into manageable sub-tasks. However, existing CoT…

Computation and Language · Computer Science 2025-07-11 Jean-Francois Ton , Muhammad Faaiz Taufiq , Yang Liu

Chain-of-thought (CoT), tree-of-thought (ToT), and related techniques work surprisingly well in practice for some complex reasoning tasks with Large Language Models (LLMs), but why? This work seeks the underlying reasons by conducting…

Artificial Intelligence · Computer Science 2024-06-19 Liwei Kang , Zirui Zhao , David Hsu , Wee Sun Lee

Large language models (LLMs) demonstrate significant reasoning capabilities, particularly through long chain-of-thought (CoT) processes, which can be elicited by reinforcement learning (RL). However, prolonged CoT reasoning presents…

Computation and Language · Computer Science 2025-12-29 Haoyuan Wu , Xueyi Chen , Rui Ming , Jilong Gao , Shoubo Hu , Zhuolun He , Bei Yu

Recent studies have shown that making a model spend more time thinking through longer Chain of Thoughts (CoTs) enables it to gain significant improvements in complex reasoning tasks. While current researches continue to explore the benefits…

Computation and Language · Computer Science 2025-10-14 Wenkai Yang , Shuming Ma , Yankai Lin , Furu Wei

We propose a novel framework, Meta Chain-of-Thought (Meta-CoT), which extends traditional Chain-of-Thought (CoT) by explicitly modeling the underlying reasoning required to arrive at a particular CoT. We present empirical evidence from…

Reasoning models have demonstrated remarkable progress in solving complex and logic-intensive tasks by generating extended Chain-of-Thoughts (CoTs) prior to arriving at a final answer. Yet, the emergence of this "slow-thinking" paradigm,…

Computation and Language · Computer Science 2025-09-30 Sicheng Feng , Gongfan Fang , Xinyin Ma , Xinchao Wang

Recent advancements in Multimodal Large Language Models (MLLMs) have significantly enhanced cross-modal understanding and reasoning by incorporating Chain-of-Thought (CoT) reasoning in the semantic space. Building upon this, recent studies…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Chengzhi Liu , Yuzhe Yang , Yue Fan , Qingyue Wei , Sheng Liu , Xin Eric Wang
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