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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) for complex reasoning is often hindered by high computational costs and latency, while resource-efficient Small Language Models (SLMs) typically lack the necessary reasoning capacity. Existing collaborative…

Computation and Language · Computer Science 2026-01-09 Chengsong Huang , Tong Zheng , Langlin Huang , Jinyuan Li , Haolin Liu , Jiaxin Huang

Implicit Chain-of-Thought (CoT) methods offer a token-efficient alternative to explicit CoT reasoning in Large Language Models (LLMs), but a persistent performance gap has limited their adoption. We identify a core latent instability issue…

Computation and Language · Computer Science 2025-09-26 Xilin Wei , Xiaoran Liu , Yuhang Zang , Xiaoyi Dong , Yuhang Cao , Jiaqi Wang , Xipeng Qiu , Dahua Lin

Recent studies have discovered that Chain-of-Thought prompting (CoT) can dramatically improve the performance of Large Language Models (LLMs), particularly when dealing with complex tasks involving mathematics or reasoning. Despite the…

Machine Learning · Computer Science 2023-12-27 Guhao Feng , Bohang Zhang , Yuntian Gu , Haotian Ye , Di He , Liwei Wang

Large language models (LLMs) equipped with chain-of-thought (CoT) achieve strong performance and offer a window into LLM behavior. However, recent evidence suggests that improvements in CoT capabilities often come with redundant reasoning…

Computation and Language · Computer Science 2026-02-03 Yanrui Du , Sendong Zhao , Yibo Gao , Danyang Zhao , Qika Lin , Ming Ma , Jiayun Li , Yi Jiang , Kai He , Qianyi Xu , Bing Qin , Mengling Feng

Chain-of-thought (CoT) reasoning enables large language models (LLMs) to move beyond fast System-1 responses and engage in deliberative System-2 reasoning. However, this comes at the cost of significant inefficiency due to verbose…

Computation and Language · Computer Science 2025-06-03 Xiaoqiang Wang , Suyuchen Wang , Yun Zhu , Bang Liu

High-quality chain-of-thought has demonstrated strong potential for unlocking the reasoning capabilities of large language models. However, current paradigms typically treat the reasoning process as an indivisible sequence, lacking an…

Artificial Intelligence · Computer Science 2026-01-15 Yan Liu , Feng Zhang , Zhanyu Ma , Jun Xu , Jiuchong Gao , Jinghua Hao , Renqing He , Han Liu , Yangdong Deng

Recent advancements in large reasoning models (LRMs) have demonstrated the effectiveness of scaling test-time computation to enhance reasoning capabilities on various tasks. However, LRMs often suffer from an ``overthinking'' problem, where…

Computation and Language · Computer Science 2025-08-05 Yule Liu , Jingyi Zheng , Zhen Sun , Zifan Peng , Wenhan Dong , Zeyang Sha , Shiwen Cui , Weiqiang Wang , Xinlei He

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

Chain-of-thought (CoT) prompting improves reasoning but often increases inference cost by one to two orders of magnitude. To address these challenges, we present \textbf{OneLatent}, a framework that compresses intermediate reasoning into a…

Artificial Intelligence · Computer Science 2026-02-17 Bo Lv , Yasheng Sun , Junjie Wang , Haoxiang Shi

Eliciting "chain of thought" (CoT) rationales -- sequences of token that convey a "reasoning" process -- has been shown to consistently improve LLM performance on tasks like question answering. More recent efforts have shown that such…

Computation and Language · Computer Science 2024-10-01 Somin Wadhwa , Silvio Amir , Byron C. Wallace

Chain-of-Thought (CoT) reasoning has significantly advanced state-of-the-art AI capabilities. However, recent studies have shown that CoT reasoning is not always faithful when models face an explicit bias in their prompts, i.e., the CoT can…

Artificial Intelligence · Computer Science 2025-06-18 Iván Arcuschin , Jett Janiak , Robert Krzyzanowski , Senthooran Rajamanoharan , Neel Nanda , Arthur Conmy

In this paper, we introduce Concise Chain-of-Thought (CCoT) prompting. We compared standard CoT and CCoT prompts to see how conciseness impacts response length and correct-answer accuracy. We evaluated this using GPT-3.5 and GPT-4 with a…

Computation and Language · Computer Science 2025-03-17 Matthew Renze , Erhan Guven

Modern language models generate chain-of-thought traces by autoregressively sampling tokens from a finite vocabulary. While this discrete sampling has achieved remarkable success, conducting chain-of-thought with continuously-valued tokens…

Machine Learning · Computer Science 2026-03-06 Halil Alperen Gozeten , M. Emrullah Ildiz , Xuechen Zhang , Hrayr Harutyunyan , Ankit Singh Rawat , Samet Oymak

Requiring a large language model (LLM) to generate intermediary reasoning steps, known as Chain of Thought (CoT), has been shown to be an effective way of boosting performance. Previous approaches have focused on generating multiple…

Computation and Language · Computer Science 2025-05-28 Haritz Puerto , Tilek Chubakov , Xiaodan Zhu , Harish Tayyar Madabushi , Iryna Gurevych

Large Reasoning Models (LRMs) like o1 and DeepSeek-R1 have shown remarkable progress in natural language reasoning with long chain-of-thought (CoT), yet they remain inefficient or inaccurate when handling complex mathematical operations.…

Computation and Language · Computer Science 2025-06-13 Chengpeng Li , Zhengyang Tang , Ziniu Li , Mingfeng Xue , Keqin Bao , Tian Ding , Ruoyu Sun , Benyou Wang , Xiang Wang , Junyang Lin , Dayiheng Liu

Chain-of-Thought (CoT) prompting is a widely used method to improve the reasoning capability of Large Language Models (LLMs). More recently, CoT has been leveraged in Knowledge Distillation (KD) to transfer reasoning capability from a…

Computation and Language · Computer Science 2025-11-10 Cong-Thanh Do , Rama Doddipatla , Kate Knill

Long chain-of-thought reasoning (Long CoT) is now fundamental to state-of-the-art LLMs, especially in mathematical reasoning. However, LLM generation is highly sequential, and long CoTs lead to a high latency. We propose to train…

Machine Learning · Computer Science 2026-02-02 Arvind Mahankali , Kaiyue Wen , Tengyu Ma

Recent advances in large language models (LLMs) have leveraged explicit Chain-of-Thought (CoT) prompting to improve reasoning accuracy. However, most existing methods primarily focus on compressing verbose reasoning outputs. These…

Computation and Language · Computer Science 2025-12-01 Canhui Wu , Qiong Cao , Chao Xue , Wei Xi , Xiaodong He

Chain-of-thought (CoT) reasoning has enabled transformer-based language models to excel at complex mathematics and multi-step planning. However, in standard decoder-only architectures, these reasoning steps are externalized in natural…

Computation and Language · Computer Science 2025-09-30 Wenquan Lu , Yuechuan Yang , Kyle Lee , Yanshu Li , Enqi Liu