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The chain-of-though (CoT) prompting methods were successful in various natural language processing (NLP) tasks thanks to their ability to unveil the underlying complex reasoning processes. Such reasoning processes typically exhibit…

Computation and Language · Computer Science 2023-05-30 Ziqi Jin , Wei Lu

Chain-of-Thought (CoT) distillation from Large Language Models (LLMs) often induces "overthinking" in Small Language Models (SLMs), leading to performance degradation and excessive token consumption. In this study, we propose Disciplined…

Computation and Language · Computer Science 2026-02-26 Shunsuke Ubukata

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

Curriculum learning for training LLMs requires a difficulty signal that aligns with reasoning while remaining scalable and interpretable. We propose a simple premise: tasks that demand deeper depth of thought for humans should also be…

Machine Learning · Computer Science 2025-08-27 Jeesu Jung , Sangkeun Jung

Chain-of-Thought (CoT) reasoning has significantly advanced the problem-solving capabilities of Large Language Models (LLMs), yet conventional CoT often exhibits internal determinism during decoding, limiting exploration of plausible…

Artificial Intelligence · Computer Science 2025-12-09 Jindi Lv , Yuhao Zhou , Zheng Zhu , Xiaofeng Wang , Guan Huang , Jiancheng Lv

Large language models (LMs) beyond a certain scale, demonstrate the emergent capability of generating free-text rationales for their predictions via chain-of-thought (CoT) prompting. While CoT can yield dramatically improved performance,…

Computation and Language · Computer Science 2023-09-01 Peifeng Wang , Zhengyang Wang , Zheng Li , Yifan Gao , Bing Yin , Xiang Ren

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 reasoning, while powerful, can produce unnecessarily verbose output for simpler problems. We present a framework for difficulty-aware reasoning that teaches models to dynamically adjust reasoning depth based on problem…

Computation and Language · Computer Science 2025-09-08 Abdul Waheed , Chancharik Mitra , Laurie Z. Wang , Deva Ramanan , Bhiksha Raj

Chain-of-Thought (CoT) and Looped Transformers have been shown to empirically improve performance on reasoning tasks and to theoretically enhance expressivity by recursively increasing the number of computational steps. However, their…

Machine Learning · Computer Science 2025-10-27 Kevin Xu , Issei Sato

Chain-of-thought (CoT) reasoning is critical for improving the interpretability and reliability of Large Vision-Language Models (LVLMs). However, existing training algorithms such as SFT, PPO, and GRPO may not generalize well across unseen…

Artificial Intelligence · Computer Science 2025-10-31 Guohao Sun , Hang Hua , Jian Wang , Jiebo Luo , Sohail Dianat , Majid Rabbani , Raghuveer Rao , Zhiqiang Tao

As AI systems approach dangerous capability levels where inability safety cases become insufficient, we need alternative approaches to ensure safety. This paper presents a roadmap for constructing safety cases based on chain-of-thought…

Machine Learning · Computer Science 2025-10-23 Julian Schulz

State-of-the-art reasoning models utilize long chain-of-thought (CoT) to solve increasingly complex problems using more test-time computation. In this work, we explore a long CoT setting where the model makes up to K successive attempts at…

Machine Learning · Computer Science 2026-04-21 Muhammed Emrullah Ildiz , Halil Alperen Gozeten , Ege Onur Taga , Samet Oymak

Recent thinking models trained with reinforcement learning and backward-checking CoT often suffer from overthinking: they produce excessively long outputs even on simple problems, wasting computation. Existing evaluations, based on token…

Computation and Language · Computer Science 2025-10-15 Siqi Fan , Bowen Qin , Peng Han , Shuo Shang , Yequan Wang , Aixin Sun

Getting language models to reason correctly about code requires training on data where each reasoning step can be checked. Current synthetic Chain-of-Thought (CoT) training data often consists of plausible-sounding explanations generated by…

Software Engineering · Computer Science 2026-04-28 Shailja Thakur , Vaibhav Saxena , Rohan Kulkarni , Shivdeep Singh , Parameswaran Selvam , Hima Patel , Hiroshi Kanayama

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) prompting and its variants have gained popularity as effective methods for solving multi-step reasoning problems using pretrained large language models (LLMs). In this work, we analyze CoT prompting from a statistical…

Artificial Intelligence · Computer Science 2024-08-29 Xinyang Hu , Fengzhuo Zhang , Siyu Chen , Zhuoran Yang

Chain-of-thought (CoT) reasoning is fundamental to modern LLM architectures and represents a critical intervention point for AI safety. However, CoT reasoning may exhibit failure modes that we note as pathologies, which prevent it from…

Artificial Intelligence · Computer Science 2026-02-17 Manqing Liu , David Williams-King , Ida Caspary , Linh Le , Hannes Whittingham , Puria Radmard , Cameron Tice , Edward James Young

Multi-step reasoning ability of large language models is crucial in tasks such as math and tool utilization. Current researches predominantly focus on enhancing model performance in these multi-step reasoning tasks through fine-tuning with…

Computation and Language · Computer Science 2024-10-23 Yuli Qiu , Jiashu Yao , Heyan Huang , Yuhang Guo

Chain-of-thought (CoT) reasoning with self-consistency improves performance by aggregating multiple sampled reasoning paths. In this setting, correctness is no longer tied to a single reasoning trace but to the aggregation rule over a pool…

Machine Learning · Statistics 2026-05-15 Yu Gu , Zijun Yu , Vahid Partovi Nia , Masoud Asgharian

Due to the proliferation of short-form content and the rapid adoption of AI, opportunities for deep, reflective thinking have significantly diminished, undermining users' critical thinking and reducing engagement with the reasoning behind…

Computation and Language · Computer Science 2025-04-28 Seunghyun Yoo