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Chain-of-Thought (CoT) prompting can enhance the reasoning capabilities of large language models (LLMs), establishing itself as a primary approach to solving complex reasoning tasks. Existing CoT synthesis approaches usually focus on…

Computation and Language · Computer Science 2024-03-22 Xiaoxue Cheng , Junyi Li , Wayne Xin Zhao , Ji-Rong Wen

Large reasoning models (LRMs) increasingly rely on step-by-step Chain-of-Thought (CoT) reasoning to improve task performance, particularly in high-resource languages such as English. While recent work has examined final-answer accuracy in…

Computation and Language · Computer Science 2025-10-13 Raoyuan Zhao , Yihong Liu , Hinrich Schütze , Michael A. Hedderich

In recent years, large language models (LLMs) have demonstrated significant potential in complex reasoning tasks like mathematical problem-solving. However, existing research predominantly relies on reinforcement learning (RL) frameworks…

Machine Learning · Computer Science 2026-01-12 ShaoZhen Liu , Xinting Huang , Houwen Peng , Xin Chen , Xinyang Song , Qi Li , Zhenan Sun

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

This study investigates the attribution patterns underlying Chain-of-Thought (CoT) reasoning in multilingual LLMs. While prior works demonstrate the role of CoT prompting in improving task performance, there are concerns regarding the…

Computation and Language · Computer Science 2025-11-21 Jeremias Ferrao , Ezgi Basar , Khondoker Ittehadul Islam , Mahrokh Hassani

Chain-of-thought responses from language models improve performance across most benchmarks. However, it remains unclear to what extent these performance gains can be attributed to human-like task decomposition or simply the greater…

Computation and Language · Computer Science 2024-04-25 Jacob Pfau , William Merrill , Samuel R. Bowman

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

Recent studies reveal that large language models (LLMs) exhibit limited logical reasoning abilities in mathematical problem-solving, instead often relying on pattern-matching and memorization. We systematically analyze this limitation,…

Computation and Language · Computer Science 2026-04-21 Shaojie Wang , Liang Zhang

Chain-of-thought (CoT) rationales, which provide step-by-step reasoning to derive final answers, benefit LLMs in both inference and training. Incorporating rationales, either by generating them before answering during inference, or by…

Computation and Language · Computer Science 2025-10-21 Wenhang Shi , Shuqing Bian , Yiren Chen , Xinyi Zhang , Zhe Zhao , Pengfei Hu , Wei Lu , Xiaoyong Du

Recent large reasoning models such as DeepSeek-R1 exhibit strong complex problems solving abilities by generating long chain-of-thought (CoT) reasoning steps. It is challenging to directly train small language models (SLMs) to emerge long…

Computation and Language · Computer Science 2025-06-19 Zhaoyang Wang , Jinqi Jiang , Tian Qiu , Hui Liu , Xianfeng Tang , Huaxiu Yao

Large language models (LLMs) have shown impressive emergent abilities in a wide range of tasks, but the associated expensive API cost greatly limits the real application. Previous works like chain-of-thought (CoT) and tree-of-thoughts (ToT)…

Computation and Language · Computer Science 2024-08-27 Yu Shang , Yu Li , Fengli Xu , Yong Li

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

Recent advances have established a new machine learning paradigm based on scaling up compute at inference time as well as at training time. In that line of work, a combination of Supervised Fine-Tuning (SFT) on synthetic demonstrations and…

Machine Learning · Computer Science 2025-07-08 Corrado Rainone , Tim Bakker , Roland Memisevic

Large reasoning models (LRMs) spend substantial test-time compute on long chain-of-thought (CoT) traces, but what *characterizes* an effective CoT remains unclear. While prior work reports gains from lengthening CoTs and increasing review…

Machine Learning · Computer Science 2025-09-24 Yunzhen Feng , Julia Kempe , Cheng Zhang , Parag Jain , Anthony Hartshorn

Inference-time scaling via chain-of-thought (CoT) reasoning is a major driver of state-of-the-art LLM performance, but it comes with substantial latency and compute costs. We address a fundamental theoretical question: how many reasoning…

Artificial Intelligence · Computer Science 2026-05-29 Kiran Tomlinson , Tobias Schnabel , Adith Swaminathan , Jennifer Neville

Large language models (LLMs) solve problems more accurately and interpretably when instructed to work out the answer step by step using a ``chain-of-thought'' (CoT) prompt. One can also improve LLMs' performance on a specific task by…

We propose a novel LLM-based framework for reasoning in discrete, game-theoretic tasks, illustrated with \emph{Tic-Tac-Toe}. The method integrates in-context learning with entropy-guided chain-of-thought (CoT) reasoning and adaptive context…

Computation and Language · Computer Science 2026-04-14 Tommaso Felice Banfi , Sashenka Gamage

Chain-of-Thought (CoT) has unlocked advanced reasoning abilities of Large Language Models (LLMs) with intermediate steps, yet incurs prohibitive computational costs due to generation of extra tokens. Recent studies empirically show that…

Artificial Intelligence · Computer Science 2026-05-27 Juncai Li , Ru Li , Yuxiang Zhou , Boxiang Ma , Jeff Z. Pan

Large Language Models (LLMs) have demonstrated remarkable performance in solving complex reasoning tasks through mechanisms like Chain-of-Thought (CoT) prompting, which emphasizes verbose, step-by-step reasoning. However, humans typically…

Computation and Language · Computer Science 2025-03-04 Silei Xu , Wenhao Xie , Lingxiao Zhao , Pengcheng He

Reinforcement learning (RL) finetuning has become a key technique for enhancing large language models (LLMs) on reasoning-intensive tasks, motivating its extension to vision-language models (VLMs). While RL-tuned VLMs improve on visual…

Machine Learning · Computer Science 2026-05-22 Rosie Zhao , Anshul Shah , Xiaoyu Zhu , Xinke Deng , Zhongyu Jiang , Yang Yang , Joerg Liebelt , Arnab Mondal
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