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Recent developments have enabled advanced reasoning in Large Language Models (LLMs) via long Chain-of-Thought (CoT), while long CoT suffers from high computational costs and significant latency losses owing to the autoregressive nature of…

Computation and Language · Computer Science 2025-10-13 Chengzhengxu Li , Xiaoming Liu , Zhaohan Zhang , Shaochu Zhang , Shengchao Liu , Guoxin Ma , Yu Lan , Chao Shen

While Chain-of-Thought (CoT) prompting boosts Language Models' (LM) performance on a gamut of complex reasoning tasks, the generated reasoning chain does not necessarily reflect how the model arrives at the answer (aka. faithfulness). We…

Computation and Language · Computer Science 2023-09-22 Qing Lyu , Shreya Havaldar , Adam Stein , Li Zhang , Delip Rao , Eric Wong , Marianna Apidianaki , Chris Callison-Burch

This work introduces Symbolic-Aided Chain-of-Thought (CoT), an improved approach to standard CoT, for logical reasoning in large language models (LLMs). The key idea is to integrate lightweight symbolic representations into few-shot…

Artificial Intelligence · Computer Science 2025-10-07 Phuong Minh Nguyen , Tien Huu Dang , Naoya Inoue

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

Chain-of-Thought (CoT) prompting has improved the reasoning performance of large language models (LLMs), but it remains unclear why it works and whether it is the unique mechanism for triggering reasoning in large language models. In this…

Computation and Language · Computer Science 2026-01-14 Zhenghao He , Guangzhi Xiong , Bohan Liu , Sanchit Sinha , Aidong Zhang

Chain-of-Thought (CoT) reasoning enhances large language models (LLMs) by enabling step-by-step problem-solving, yet its extension to Long-CoT introduces substantial computational overhead due to increased token length. Existing compression…

Computation and Language · Computer Science 2025-11-14 Yibo Wang , Haotian Luo , Huanjin Yao , Tiansheng Huang , Haiying He , Rui Liu , Naiqiang Tan , Jiaxing Huang , Xiaochun Cao , Dacheng Tao , Li Shen

Large language models (LLMs) have demonstrated impressive reasoning capabilities by scaling test-time compute via long Chain-of-Thought (CoT). However, recent findings suggest that raw token counts are unreliable proxies for reasoning…

Computation and Language · Computer Science 2026-02-17 Wei-Lin Chen , Liqian Peng , Tian Tan , Chao Zhao , Blake JianHang Chen , Ziqian Lin , Alec Go , Yu Meng

Large Language Models (LLMs) have demonstrated remarkable performance in solving complex reasoning tasks through mechanisms like Chain-of-Thought (CoT) prompting, which emphasizes verbose, step-by-step reasoning. However, humans typically…

Computation and Language · Computer Science 2025-03-04 Silei Xu , Wenhao Xie , Lingxiao Zhao , Pengcheng He

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

Intermediate token generation (ITG), where a model produces output before the solution, has been proposed as a method to improve the performance of language models on reasoning tasks. While these reasoning traces or Chain of Thoughts (CoTs)…

Artificial Intelligence · Computer Science 2025-09-10 Vardhan Palod , Karthik Valmeekam , Kaya Stechly , Subbarao Kambhampati

Chain of thought (CoT) elicits reasoning in large language models by explicitly generating intermediate tokens. In contrast, latent thought reasoning operates directly in the continuous latent space, enabling computation beyond discrete…

Artificial Intelligence · Computer Science 2026-05-13 Kevin Xu , Issei Sato

Emerging reasoning LLMs such as OpenAI-o1 and DeepSeek-R1 have achieved strong performance on complex reasoning tasks by generating long chain-of-thought (CoT) traces. However, these long CoTs result in increased token usage, leading to…

Machine Learning · Computer Science 2025-11-18 Yuxiang Zhang , Zhengxu Yu , Weihang Pan , Zhongming Jin , Qiang Fu , Deng Cai , Binbin Lin , Jieping Ye

Recent large language models have shown promising capabilities in long-form reasoning, following structured chains of thought before arriving at a final answer. However, we observe that these reasoning paths tend to include substantial…

Chain-of-thought (CoT) enhances the problem-solving ability of large language models (LLMs) but incurs substantial inference cost due to long autoregressive trajectories. Existing acceleration strategies either shorten traces via early…

Machine Learning · Computer Science 2026-02-10 Zhuokun Chen , Zeren Chen , Jiahao He , Lu Sheng , Mingkui Tan , Jianfei Cai , Bohan Zhuang

Chain-of-Thought significantly enhances a model's reasoning capability, but it also comes with a considerable increase in inference costs due to long chains. With the observation that the reasoning path can be easily compressed under easy…

Artificial Intelligence · Computer Science 2025-02-14 Xinyin Ma , Guangnian Wan , Runpeng Yu , Gongfan Fang , Xinchao Wang

Chain-of-Thought (CoT) prompting has significantly enhanced the mathematical reasoning capabilities of Large Language Models. We find existing fine-tuning datasets frequently suffer from the "answer right but reasoning wrong" probelm, where…

Artificial Intelligence · Computer Science 2026-01-13 Zihang Li , Yuhang Wang , Yikun Zong , Wenhan Yu , Xiaokun Yuan , Runhan Jiang , Zirui Liu , Tong Yang , Arthur Jiang

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

Large reasoning models (LRMs) spend substantial test-time compute on long chain-of-thought (CoT) traces, but what *characterizes* an effective CoT remains unclear. While prior work reports gains from lengthening CoTs and increasing review…

Machine Learning · Computer Science 2025-09-24 Yunzhen Feng , Julia Kempe , Cheng Zhang , Parag Jain , Anthony Hartshorn

The Chain-of-Thought (CoT) paradigm has emerged as a critical approach for enhancing the reasoning capabilities of large language models (LLMs). However, despite their widespread adoption and success, CoT methods often exhibit instability…

Artificial Intelligence · Computer Science 2024-09-06 Yu Wang , Shiwan Zhao , Zhihu Wang , Heyuan Huang , Ming Fan , Yubo Zhang , Zhixing Wang , Haijun Wang , Ting Liu

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
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