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Recent advancements in large language models (LLMs) have demonstrated remarkable reasoning capabilities through long chain-of-thought (CoT) reasoning. The R1 distillation scheme has emerged as a promising approach for training…

Artificial Intelligence · Computer Science 2025-03-21 Yijia Luo , Yulin Song , Xingyao Zhang , Jiaheng Liu , Weixun Wang , GengRu Chen , Wenbo Su , Bo Zheng

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 been proven effective in enhancing the reasoning capabilities of large language models (LLMs). Recent advancements, such as OpenAI's o1 and DeepSeek-R1, suggest that scaling up the length of CoT sequences during…

Computation and Language · Computer Science 2025-09-17 Heming Xia , Chak Tou Leong , Wenjie Wang , Yongqi Li , Wenjie Li

Large language models (LLMs) such as GPT-4 have recently demonstrated impressive results across a wide range of tasks. LLMs are still limited, however, in that they frequently fail at complex reasoning, their reasoning processes are opaque,…

As knowledge and semantics on the web grow increasingly complex, enhancing Large Language Models (LLMs)' comprehension and reasoning capabilities has become particularly important. Chain-of-Thought (CoT) prompting has been shown to enhance…

Artificial Intelligence · Computer Science 2026-01-21 Ke Chen , Jiandian Zeng , Zihao Peng , Guo Li , Guangxue Zhang , Tian Wang

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

Recent advances in large reasoning language models (LRLMs) rely on test-time scaling, which extends long chain-of-thought (CoT) generation to solve complex tasks. However, overthinking in long CoT not only slows down the efficiency of…

Computation and Language · Computer Science 2025-09-30 Chenxu Yang , Qingyi Si , Yongjie Duan , Zheliang Zhu , Chenyu Zhu , Qiaowei Li , Minghui Chen , Zheng Lin , Weiping Wang

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

Chain-of-thought (CoT) significantly enhances the reasoning performance of large language models (LLM). While current theoretical studies often attribute this improvement to increased expressiveness and computational capacity, we argue that…

Machine Learning · Computer Science 2025-03-06 Kaiyue Wen , Huaqing Zhang , Hongzhou Lin , Jingzhao Zhang

Long chain-of-thought (CoT) is an essential ingredient in effective usage of modern large language models, but our understanding of the reasoning strategies underlying these capabilities remains limited. While some prior works have…

Computation and Language · Computer Science 2025-05-16 Seongyun Lee , Seungone Kim , Minju Seo , Yongrae Jo , Dongyoung Go , Hyeonbin Hwang , Jinho Park , Xiang Yue , Sean Welleck , Graham Neubig , Moontae Lee , Minjoon Seo

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

While Chain-of-Thought prompting is popular in reasoning tasks, its application to Large Language Models (LLMs) in Natural Language Understanding (NLU) is under-explored. Motivated by multi-step reasoning of LLMs, we propose Coarse-to-Fine…

Computation and Language · Computer Science 2023-10-24 Hoang H. Nguyen , Ye Liu , Chenwei Zhang , Tao Zhang , Philip S. Yu

Large Language Models (LLMs) consistently benefit from scaled Chain-of-Thought (CoT) reasoning, but also suffer from heavy computational overhead. To address this issue, efficient reasoning aims to incentivize short yet accurate thinking…

Computation and Language · Computer Science 2026-03-23 Taiqiang Wu , Zenan Xu , Bo Zhou , Ngai Wong

Multi-step Chain-of-Thought (CoT) has significantly advanced the mathematical reasoning capabilities of LLMs by leveraging explicit reasoning steps. However, the widespread adoption of Long CoT often results in sequence lengths that exceed…

Computation and Language · Computer Science 2026-05-29 Jia-Chen Zhang , Yu-Jie Xiong , Zheng Zhou

Large Language Models (LLMs) with long chain-of-thought (CoT) capability, termed Reasoning Models, demonstrate superior intricate problem-solving abilities through multi-step long CoT reasoning. To create a dual-capability model with long…

Computation and Language · Computer Science 2026-01-21 Junyao Yang , Jianwei Wang , Huiping Zhuang , Cen Chen , Ziqian Zeng

\ac{CoT} prompting improves LLM accuracy on complex tasks but often increases token usage and inference cost. Existing ``Budget Forcing'' methods reduce cost via fine-tuning with heuristic length penalties, suppressing both essential…

Machine Learning · Computer Science 2026-05-19 Fabio Valerio Massoli , Andrey Kuzmin , Arash Behboodi

While state-of-the-art LLMs have demonstrated great promise of using long Chains-of-Thought (CoT) to boost reasoning, scaling it up to more challenging problems at test-time is fundamentally limited by suboptimal memory usage --…

Machine Learning · Computer Science 2025-07-08 Chenxiao Yang , Nathan Srebro , David McAllester , Zhiyuan Li

Generating Chain-of-Thought (CoT) before deriving the answer can effectively improve the reasoning capabilities of large language models (LLMs) and significantly improve the accuracy of the generated answer. However, in most cases, the…

Computation and Language · Computer Science 2024-12-17 Yu Kang , Xianghui Sun , Liangyu Chen , Wei Zou

Large Language Models (LLMs), despite their remarkable capabilities, rely on singular, pre-dominant reasoning paradigms, hindering their performance on intricate problems that demand diverse cognitive strategies. To address this, we…

Computation and Language · Computer Science 2025-09-29 Zishan Ahmad , Saisubramaniam Gopalakrishnan

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
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