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Chain-of-thought (CoT) supervision can substantially improve transformer performance, yet the mechanisms by which models learn to follow and benefit from CoT remain poorly understood. We investigate these learning dynamics through the lens…

Large Language Models achieve next-token prediction by transporting a vectorized piece of text (prompt) across an accompanying embedding space under the action of successive transformer layers. The resulting high-dimensional trajectories…

机器学习 · 计算机科学 2025-02-17 Raphaël Sarfati , Toni J. B. Liu , Nicolas Boullé , Christopher J. Earls

Supervised Fine-Tuning (SFT) on long Chain-of-Thought (CoT) trajectories has become a pivotal phase in building large reasoning models. However, how CoT trajectories from different sources influence the generalization performance of models…

计算与语言 · 计算机科学 2026-04-07 Zhaoyi Li , Xiangyu Xi , Zhengyu Chen , Wei Wang , Gangwei Jiang , Ranran Shen , Linqi Song , Ying Wei , Defu Lian

Chain-of-thought (CoT) prompting has become central to mathematical reasoning in large language models, yet models remain brittle to early errors: a single arithmetic slip or unjustified inference typically propagates uncorrected to an…

机器学习 · 计算机科学 2025-12-22 Saraswathy Amjith , Mihika Dusad , Neha Muramalla , Shweta Shah

With the development of large language models (LLMs), particularly with the introduction of the long reasoning chain technique, the reasoning ability of LLMs in complex problem-solving has been significantly enhanced. While acknowledging…

A major drawback of reasoning models is their excessive token usage, inflating computational cost, resource demand, and latency. We show this verbosity stems not from deeper reasoning but from reinforcement learning loss minimization when…

计算与语言 · 计算机科学 2025-11-24 Mehdi Fatemi , Banafsheh Rafiee , Mingjie Tang , Kartik Talamadupula

Despite their strengths, large language models (LLMs) often fail to communicate their confidence accurately, making it difficult to assess when they might be wrong and limiting their reliability. In this work, we demonstrate that reasoning…

人工智能 · 计算机科学 2025-10-23 Dongkeun Yoon , Seungone Kim , Sohee Yang , Sunkyoung Kim , Soyeon Kim , Yongil Kim , Eunbi Choi , Yireun Kim , Minjoon Seo

Large language models have demonstrated remarkable progress in mathematical reasoning, leveraging chain-of-thought and test-time compute scaling. However, many open questions remain regarding the interplay between reasoning token usage and…

机器学习 · 计算机科学 2025-02-24 Marthe Ballon , Andres Algaba , Vincent Ginis

Large language models have recently shown promising progress in mathematical reasoning when fine-tuned with human-generated sequences walking through a sequence of solution steps. However, the solution sequences are not formally structured…

机器学习 · 计算机科学 2022-12-07 Andrew J. Nam , Mengye Ren , Chelsea Finn , James L. McClelland

Large language models (LLMs) are increasingly optimized for long reasoning, under the assumption that more reasoning leads to better performance. However, emerging evidence suggests that longer responses can sometimes degrade accuracy…

计算与语言 · 计算机科学 2025-05-02 Jinyan Su , Jennifer Healey , Preslav Nakov , Claire Cardie

Reasoning Language Models (RLMs) have gained traction for their ability to perform complex, multi-step reasoning tasks through mechanisms such as Chain-of-Thought (CoT) prompting or fine-tuned reasoning traces. While these capabilities…

计算与语言 · 计算机科学 2025-07-04 Riccardo Cantini , Nicola Gabriele , Alessio Orsino , Domenico Talia

Long chain-of-thought~(CoT) has become a dominant paradigm for enhancing the reasoning capability of large reasoning models~(LRMs); however, the performance gains often come with a substantial increase in reasoning budget. Recent studies…

人工智能 · 计算机科学 2026-03-03 Jie Cao , Tianwei Lin , Zhenxuan Fan , Bo Yuan , Ziyuan Zhao , Rolan Yan , Wenqiao Zhang , Siliang Tang

Chain of Thought (CoT) reasoning enhances language models' performance but often leads to inefficient "overthinking" on simple problems. We identify that existing approaches directly penalizing reasoning length fail to account for varying…

计算与语言 · 计算机科学 2025-05-22 Junjie Yang , Ke Lin , Xing Yu

Chain-of-thought (CoT) reasoning boosts large language models' (LLMs) performance on complex tasks but faces two key limitations: a lack of reliability when solely relying on LLM-generated reasoning chains and lower reasoning performance…

计算与语言 · 计算机科学 2025-09-11 Feiyang Li , Peng Fang , Zhan Shi , Arijit Khan , Fang Wang , Weihao Wang , Xin Zhang , Yongjian Cui

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…

机器学习 · 计算机科学 2025-08-27 Jeesu Jung , Sangkeun Jung

Test-time scaling via explicit reasoning trajectories significantly boosts large language model (LLM) performance but often triggers overthinking. To explore this, we analyze reasoning through two lenses: Reasoning Length Dynamics, which…

计算与语言 · 计算机科学 2026-01-14 Zihao Wei , Liang Pang , Jiahao Liu , Wenjie Shi , Jingcheng Deng , Shicheng Xu , Zenghao Duan , Fei Sun , Huawei Shen , Xueqi Cheng

Large Language Models (LLMs) have achieved remarkable success in tasks requiring complex reasoning, such as code generation, mathematical problem solving, and algorithmic synthesis -- especially when aided by reasoning tokens and…

计算与语言 · 计算机科学 2025-06-13 Jaechul Roh , Varun Gandhi , Shivani Anilkumar , Arin Garg

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…

Thinking Large Language Models (LLMs) generate explicit intermediate reasoning traces before final answers, potentially improving transparency, interpretability, and solution accuracy for code generation. However, the quality of these…

人工智能 · 计算机科学 2025-11-11 Haoran Xue , Gias Uddin , Song Wang

Chain-of-thought prompting has emerged as a powerful technique for enabling large language models (LLMs) to solve complex reasoning tasks. However, these reasoning chains can be verbose, raising concerns about efficiency. In response,…

计算与语言 · 计算机科学 2025-04-02 Ayeong Lee , Ethan Che , Tianyi Peng