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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

A common approach for teaching large language models (LLMs) to reason is to train on chain-of-thought (CoT) traces of in-distribution reasoning problems, but such annotated data is costly to obtain for every problem of interest. We want…

Computation and Language · Computer Science 2025-05-29 Fangcong Yin , Zeyu Leo Liu , Liu Leqi , Xi Ye , Greg Durrett

We study generalizable policy learning from demonstrations for complex low-level control (e.g., contact-rich object manipulations). We propose a novel hierarchical imitation learning method that utilizes sub-optimal demos. Firstly, we…

Machine Learning · Computer Science 2024-07-09 Zhiwei Jia , Vineet Thumuluri , Fangchen Liu , Linghao Chen , Zhiao Huang , Hao Su

Many language tasks can be modeled as classification problems where a large language model (LLM) is given a prompt and selects one among many possible answers. We show that the classification error in such problems scales as a power law in…

Machine Learning · Computer Science 2026-05-22 Amrut Nadgir , Vijay Balasubramanian , Pratik Chaudhari

Chain-of-thought (CoT) via prompting is the de facto method for eliciting reasoning capabilities from large language models (LLMs). But for what kinds of tasks is this extra ``thinking'' really helpful? To analyze this, we conducted a…

Computation and Language · Computer Science 2025-05-09 Zayne Sprague , Fangcong Yin , Juan Diego Rodriguez , Dongwei Jiang , Manya Wadhwa , Prasann Singhal , Xinyu Zhao , Xi Ye , Kyle Mahowald , Greg Durrett

Recent work has demonstrated that Chain-of-Thought (CoT) often yields limited gains for soft-reasoning problems such as analytical and commonsense reasoning. CoT can also be unfaithful to a model's actual reasoning. We investigate the…

Artificial Intelligence · Computer Science 2025-08-28 Samuel Lewis-Lim , Xingwei Tan , Zhixue Zhao , Nikolaos Aletras

Chain-of-thought (CoT) prompting combined with few-shot in-context learning (ICL) has unlocked significant reasoning capabilities in large language models (LLMs). However, ICL with CoT examples is ineffective on novel tasks when the…

Computation and Language · Computer Science 2025-12-08 Vignesh Kothapalli , Ata Fatahibaarzi , Hamed Firooz , Maziar Sanjabi

This work provides the first theoretical analysis of training transformers to solve complex problems by recursively generating intermediate states, analogous to fine-tuning for chain-of-thought (CoT) reasoning. We consider training a…

Machine Learning · Computer Science 2025-03-12 Juno Kim , Taiji Suzuki

Chain of thought (CoT) fine-tuning aims to endow large language models (LLMs) with reasoning capabilities by training them on curated reasoning traces. It leverages both supervised and reinforced fine-tuning to cultivate human-like…

Computation and Language · Computer Science 2026-03-24 Xiaoshu Chen , Sihang Zhou , Ke Liang , Duanyang Yuan , Haoyuan Chen , Xiaoyu Sun , Lingyuan Meng , Xinwang Liu

Chain-of-Thought (CoT) prompting has demonstrably enhanced the performance of Large Language Models on tasks requiring multi-step inference. This success has led to widespread claims of emergent reasoning capabilities in these models. In…

Computation and Language · Computer Science 2025-06-10 Jintian Shao , Yiming Cheng

Instructing the model to generate a sequence of intermediate steps, a.k.a., a chain of thought (CoT), is a highly effective method to improve the accuracy of large language models (LLMs) on arithmetics and symbolic reasoning tasks. However,…

Machine Learning · Computer Science 2024-09-24 Zhiyuan Li , Hong Liu , Denny Zhou , Tengyu Ma

Chain-of-Thought (CoT) prompting significantly enhances model reasoning, yet its internal mechanisms remain poorly understood. We analyze CoT's operational principles by reversely tracing information flow across decoding, projection, and…

Artificial Intelligence · Computer Science 2026-05-27 Hao Yang , Qinghua Zhao , Lei Li , Lingyi Meng , Mengda Yu

Chain-of-thought (CoT) offers a potential boon for AI safety as it allows monitoring a model's CoT to try to understand its intentions and reasoning processes. However, the effectiveness of such monitoring hinges on CoTs faithfully…

Chain-of-thought (CoT) reasoning is useful for monitoring language models only when the reasoning trace faithfully reflects the computation that produces the final answer. However, models can rely on prompt-to-answer shortcuts that bypass…

Machine Learning · Computer Science 2026-05-26 Jinghan Jia , Joe Benton , Eric Easley

Few-shot Chain-of-Thought (CoT) prompting has demonstrated strong performance in improving the reasoning capabilities of large language models (LLMs). While theoretical investigations have been conducted to understand CoT, the underlying…

Computation and Language · Computer Science 2024-10-23 Yingqian Cui , Pengfei He , Xianfeng Tang , Qi He , Chen Luo , Jiliang Tang , Yue Xing

Distilling Chain-of-Thought (CoT) reasoning from large language models into compact student models presents a fundamental challenge: teacher rationales are often too verbose for smaller models to faithfully reproduce. Existing approaches…

Machine Learning · Computer Science 2026-03-06 Bowen Yu , Maolin Wang , Sheng Zhang , Binhao Wang , Yi Wen , Jingtong Gao , Bowen Liu , Zimo Zhao , Wanyu Wang , Xiangyu Zhao

Chain-of-thought (CoT) prompting boosts Large Language Models accuracy on multi-step tasks, yet whether the generated "thoughts" reflect the true internal reasoning process is unresolved. We present the first feature-level causal study of…

Computation and Language · Computer Science 2025-08-01 Xi Chen , Aske Plaat , Niki van Stein

Chain-of-Thought (CoT) reasoning has been widely adopted to enhance Large Language Models (LLMs) by decomposing complex tasks into simpler, sequential subtasks. However, extending CoT to vision-language reasoning tasks remains challenging,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Luozheng Qin , Jia Gong , Yuqing Sun , Tianjiao Li , Mengping Yang , Xiaomeng Yang , Chao Qu , Zhiyu Tan , Hao Li

Chain-of-Thought (CoT) prompting has emerged as a powerful approach to enhancing the reasoning capabilities of Large Language Models (LLMs). However, existing implementations, such as in-context learning and fine-tuning, remain costly and…

Computation and Language · Computer Science 2025-10-02 Li Li , Ziyi Wang , Yongliang Wu , Jianfei Cai , Xu Yang

Large language models (LLMs) achieve strong performance on code generation, but the mechanisms by which Chain-of-Thought (CoT) prompting helps remain unclear. We present a systematic empirical and information-theoretic study of CoT…

Software Engineering · Computer Science 2025-12-11 Naizhu Jin , Zhong Li , Guang Yang , Tian Zhang , Qingkai Zeng