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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

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

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

Long chain-of-thought (CoT) significantly enhances the reasoning capabilities of large language models (LLMs). However, extensive reasoning traces lead to inefficiencies and increased time-to-first-token (TTFT). We propose a training…

Computation and Language · Computer Science 2026-01-08 Roy Xie , David Qiu , Deepak Gopinath , Dong Lin , Yanchao Sun , Chong Wang , Saloni Potdar , Bhuwan Dhingra

Large Language Models (LLMs) have shown impressive performance on complex tasks through Chain-of-Thought (CoT) reasoning. However, conventional CoT relies on explicitly verbalized intermediate steps, which constrains its broader…

Computation and Language · Computer Science 2025-11-04 Xinghao Chen , Anhao Zhao , Heming Xia , Xuan Lu , Hanlin Wang , Yanjun Chen , Wei Zhang , Jian Wang , Wenjie Li , Xiaoyu Shen

Large language models (LLMs) have demonstrated remarkable capabilities in tasks requiring reasoning and multi-step problem-solving through the use of chain-of-thought (CoT) prompting. However, generating the full CoT process results in…

Computation and Language · Computer Science 2024-09-16 Tianqiao Liu , Zui Chen , Zitao Liu , Mi Tian , Weiqi Luo

This is the second in a series of short reports that seek to help business, education, and policy leaders understand the technical details of working with AI through rigorous testing. In this report, we investigate Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-06-10 Lennart Meincke , Ethan Mollick , Lilach Mollick , Dan Shapiro

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

Large language models (LLMs) can now solve complex problems through long chain-of-thought (CoT) reasoning, but the trade-off between performance and token cost remains a central challenge. To address this issue, supervised fine-tuning (SFT)…

Artificial Intelligence · Computer Science 2026-05-28 Kohsei Matsutani , Gouki Minegishi , Takeshi Kojima , Yusuke Iwasawa , Yutaka Matsuo

Chain-of-Thought (CoT) prompting is widely used to elicit explicit reasoning from large language models for code (LLM4Code). However, its impact on robustness and the stability of reasoning trajectories under realistic input perturbations…

Software Engineering · Computer Science 2026-04-15 Yang Liu , Da Song , Armstrong Foundjem , Heng Li , Foutse Khomh

Chain-of-thought (CoT) prompting enhances reasoning in large language models (LLMs) but often leads to verbose and redundant outputs, thus increasing inference cost. We hypothesize that many reasoning steps are unnecessary for producing…

Computation and Language · Computer Science 2025-09-30 Xin Liu , Lu Wang

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

Aiming at efficient and dense chain-of-thought (CoT) reasoning, latent reasoning methods fine-tune Large Language Models (LLMs) to substitute discrete language tokens with continuous latent tokens. These methods consume fewer tokens…

Artificial Intelligence · Computer Science 2026-01-30 Zhi Zheng , Wee Sun Lee

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

Recent reasoning large language models (LLMs) have demonstrated remarkable improvements in mathematical reasoning capabilities through long Chain-of-Thought. The reasoning tokens of these models enable self-correction within reasoning…

Artificial Intelligence · Computer Science 2025-04-02 Yu Cui , Bryan Hooi , Yujun Cai , Yiwei Wang

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

Test-time scaling has enabled Large Language Models (LLMs) to tackle complex reasoning, yet the limitations of current Chain-of-Thought (CoT) evaluation obscures whether performance gains stem from genuine reasoning or mere verbosity. To…

Artificial Intelligence · Computer Science 2026-01-08 Zhizhang Fu , Yuancheng Gu , Chenkai Hu , Hanmeng Liu , Yue Zhang

Explicit chain-of-thought (CoT) reasoning substantially improves the reasoning ability of large language models (LLMs), but incurs high inference cost due to lengthy autoregressive traces. Existing latent reasoning methods offer a promising…

Computation and Language · Computer Science 2026-05-26 Hui Xie , Jie Liu , Ziyue Qiao , Joaquin Vanschore

Chain-of-Though (CoT) represents a common strategy for reasoning in Large Language Models (LLMs) by decomposing complex tasks into intermediate inference steps. However, explanations generated via CoT are susceptible to content biases that…

Computation and Language · Computer Science 2026-03-31 Leonardo Ranaldi , Marco Valentino , Andrè Freitas

Latent reasoning via continuous chain-of-thoughts (Latent CoT) has emerged as a promising alternative to discrete CoT reasoning. Operating in continuous space increases expressivity and has been hypothesized to enable superposition: the…

Computation and Language · Computer Science 2026-04-09 Michael Rizvi-Martel , Guillaume Rabusseau , Marius Mosbach