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Large language models (LLMs) achieve strong performance by generating long chains of thought, but longer traces always introduce redundant or ineffective reasoning steps. One typical behavior is that they often perform unnecessary…

Computation and Language · Computer Science 2026-01-13 Jinyi Han , Zixiang Di , Zishang Jiang , Ying Liao , Jiaqing Liang , Yongqi Wang , Yanghua Xiao

Language model (LM) "reasoning", commonly described as Chain-of-Thought or test-time scaling, often improves benchmark performance, but the dynamics underlying this process remain poorly understood. We study these dynamics through the lens…

We introduce a simple, yet novel entropy-based framework to drive token efficiency in large language models during reasoning tasks. Our approach uses Shannon entropy from token-level logprobs as a confidence signal to enable early stopping,…

Machine Learning · Computer Science 2025-10-29 Aman Sharma , Paras Chopra

This study investigates the reasoning robustness of large language models (LLMs) on mathematical problem-solving tasks under systematically introduced input perturbations. Using the GSM8K dataset as a controlled testbed, we evaluate how…

Artificial Intelligence · Computer Science 2025-04-04 Giannis Chatziveroglou , Richard Yun , Maura Kelleher

Understanding a program's runtime reasoning behavior, meaning how intermediate states and control flows lead to final execution results, is essential for reliable code generation, debugging, and automated reasoning. Although large language…

Software Engineering · Computer Science 2025-12-02 Mohammad Abdollahi , Khandaker Rifah Tasnia , Soumit Kanti Saha , Jinqiu Yang , Song Wang , Hadi Hemmati

Estimating uncertainty in Large Language Models (LLMs) is important for properly evaluating LLMs, and ensuring safety for users. However, prior approaches to uncertainty estimation focus on the final answer in generated text, ignoring…

Computation and Language · Computer Science 2024-12-12 Eric Bigelow , Ari Holtzman , Hidenori Tanaka , Tomer Ullman

The recent performance leap of Large Language Models (LLMs) opens up new opportunities across numerous industrial applications and domains. However, erroneous generations, such as false predictions, misinformation, and hallucination made by…

Software Engineering · Computer Science 2025-01-07 Yuheng Huang , Jiayang Song , Zhijie Wang , Shengming Zhao , Huaming Chen , Felix Juefei-Xu , Lei Ma

Reasoning failures in large language models (LLMs) are typically measured only at the end of a generation, yet many failures manifest as a process-level breakdown: the model "loses the thread" mid-reasoning. We study whether such breakdowns…

Artificial Intelligence · Computer Science 2026-02-04 Jinkun Chen , Fengxiang Cheng , Sijia Han , Vlado Keselj

Large language models (LLMs) increasingly solve difficult problems by producing "reasoning traces" before emitting a final response. However, it remains unclear how accuracy and decision commitment evolve along a reasoning trajectory, and…

Machine Learning · Computer Science 2026-02-02 Marthe Ballon , Brecht Verbeken , Vincent Ginis , Andres Algaba

Pre-trained language models (LMs) have shown remarkable reasoning performance using explanations or chain-of-thoughts (CoT)) for in-context learning. On the other hand, these reasoning tasks are usually presumed to be more approachable for…

Computation and Language · Computer Science 2024-03-29 Yi-Fan Zhang , Hanlin Zhang , Li Erran Li , Eric Xing

Large Language Models (LLMs) often rely on long chain-of-thought (CoT) reasoning to solve complex tasks. While effective, these trajectories are frequently inefficient, leading to high latency from excessive token generation, or unstable…

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…

Computation and Language · Computer Science 2026-01-14 Zihao Wei , Liang Pang , Jiahao Liu , Wenjie Shi , Jingcheng Deng , Shicheng Xu , Zenghao Duan , Fei Sun , Huawei Shen , Xueqi Cheng

Reasoning large language models (LLMs) heavily rely on scaling test-time compute to perform complex reasoning tasks by generating extensive "thinking" chains. While demonstrating impressive results, this approach incurs significant…

Computation and Language · Computer Science 2026-02-04 Michael Hassid , Gabriel Synnaeve , Yossi Adi , Roy Schwartz

Early stopping is a widely used technique to prevent poor generalization performance when training an over-expressive model by means of gradient-based optimization. To find a good point to halt the optimizer, a common practice is to split…

Machine Learning · Computer Science 2017-06-07 Maren Mahsereci , Lukas Balles , Christoph Lassner , Philipp Hennig

LLMs have made significant progress in the field of mathematical reasoning, but whether they have true the mathematical understanding ability is still controversial. To explore this issue, we propose a new perturbation framework to evaluate…

Artificial Intelligence · Computer Science 2025-11-12 Zhishen Sun , Guang Dai , Ivor Tsang , Haishan Ye

Large language models (LLMs) showcase impressive reasoning capabilities when coupled with Chain-of-Thought (CoT) prompting. However, the robustness of this approach warrants further investigation. In this paper, we introduce a novel…

Computation and Language · Computer Science 2024-06-03 Rongwu Xu , Zehan Qi , Wei Xu

Large language models (LLMs) have achieved strong performance on complex reasoning tasks using techniques such as chain-of-thought and self-consistency. However, ensemble-based approaches, especially self-consistency which relies on…

Artificial Intelligence · Computer Science 2025-12-23 Qinglin Zeng , Jing Yang , Keze Wang

This paper considers the challenges Large Language Models (LLMs) face when reasoning over text that includes information involving uncertainty explicitly quantified via probability values. This type of reasoning is relevant to a variety of…

Computation and Language · Computer Science 2024-12-30 Aliakbar Nafar , Kristen Brent Venable , Parisa Kordjamshidi

Large Language Models (LLMs) have demonstrated strong generalization across a wide range of tasks. Reasoning with LLMs is central to solving multi-step problems and complex decision-making. To support efficient reasoning, recent studies…

Computation and Language · Computer Science 2025-09-03 Jindong Li , Yali Fu , Li Fan , Jiahong Liu , Yao Shu , Chengwei Qin , Menglin Yang , Irwin King , Rex Ying

Research on reasoning in language models (LMs) predominantly focuses on improving the correctness of their outputs. But some important applications require modeling reasoning patterns that are incorrect. For example, automated systems that…

Machine Learning · Computer Science 2025-10-14 Alexis Ross , Jacob Andreas