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Large language models (LLMs) achieve impressive performance on complex mathematical benchmarks yet sometimes fail on basic math reasoning while generating unnecessarily verbose responses. In this paper, we present LLMThinkBench, a…

Computation and Language · Computer Science 2026-04-24 Gaurav Srivastava , Aafiya Hussain , Sriram Srinivasan , Xuan Wang

Recent advances in language models have demonstrated their capability to solve mathematical reasoning problems, achieving near-perfect accuracy on grade-school level math benchmarks like GSM8K. In this paper, we formally study how language…

Artificial Intelligence · Computer Science 2024-07-31 Tian Ye , Zicheng Xu , Yuanzhi Li , Zeyuan Allen-Zhu

In recent years, pre-trained large language models (LLMs) have demonstrated remarkable efficiency in achieving an inference-time few-shot learning capability known as in-context learning. However, existing literature has highlighted the…

Computation and Language · Computer Science 2024-02-14 Xinyi Wang , Wanrong Zhu , Michael Saxon , Mark Steyvers , William Yang Wang

Large Language Models (LLMs) achieve impressive performance in a wide range of tasks, even if they are often trained with the only objective of chatting fluently with users. Among other skills, LLMs show emergent abilities in mathematical…

Computation and Language · Computer Science 2024-06-12 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

A primary criticism towards language models (LMs) is their inscrutability. This paper presents evidence that, despite their size and complexity, LMs sometimes exploit a simple vector arithmetic style mechanism to solve some relational tasks…

Computation and Language · Computer Science 2024-04-04 Jack Merullo , Carsten Eickhoff , Ellie Pavlick

Reasoning is an integral part of many tasks performed by language models (LMs). However, the effects of scaling model sizes and data on reasoning abilities at pretraining time remain understudied. To rigorously investigate this problem, we…

Artificial Intelligence · Computer Science 2025-09-30 Xinyi Wang , Shawn Tan , Shenbo Xu , Mingyu Jin , William Yang Wang , Rameswar Panda , Yikang Shen

Large language models (LLMs) have achieved remarkable performance in generating human-like text and solving reasoning tasks of moderate complexity, such as question-answering and mathematical problem-solving. However, their capabilities in…

Computation and Language · Computer Science 2025-02-21 Cole Gawin , Yidan Sun , Mayank Kejriwal

Large language models (LLMs) have revolutionized NLP by solving downstream tasks with little to no labeled data. Despite their versatile abilities, the larger question of their ability to reason remains ill-understood. This paper addresses…

Computation and Language · Computer Science 2023-08-04 Vedant Gaur , Nikunj Saunshi

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Large language models (LLMs) make remarkable progress in reasoning tasks. Among different reasoning modes, inductive reasoning, due to its better alignment with human learning, attracts increasing interest. However, research on inductive…

Computation and Language · Computer Science 2025-10-17 Kedi Chen , Zhikai Lei , Xu Guo , Xuecheng Wu , Siyuan Zeng , Jianghao Yin , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Qipeng Guo , Kai Chen , Wei Zhang

Despite rapid advances in the capabilities of Large Language Models (LLMs), they continue to struggle with following relatively simple and unambiguous instructions, particularly when compositional structure is involved. Recent work suggests…

Computation and Language · Computer Science 2026-03-12 Prince Kumar , Rudra Murthy , Riyaz Bhat , Danish Contractor

Students' handwritten math work provides a rich resource for diagnosing cognitive skills, as it captures intermediate reasoning beyond final answers. We investigate how current large language models (LLMs) perform in diagnosing cognitive…

Artificial Intelligence · Computer Science 2026-02-05 Yoonsu Kim , Hyoungwook Jin , Hayeon Doh , Eunhye Kim , Dongyun Jung , Seungju Kim , Kiyoon Choi , Jinho Son , Juho Kim

Recent studies report that many machine reading comprehension (MRC) models can perform closely to or even better than humans on benchmark datasets. However, existing works indicate that many MRC models may learn shortcuts to outwit these…

Computation and Language · Computer Science 2021-06-03 Yuxuan Lai , Chen Zhang , Yansong Feng , Quzhe Huang , Dongyan Zhao

Running LLMs with extended reasoning on every problem is expensive, but determining which inputs actually require additional compute remains challenging. We investigate whether their own likelihood of success is recoverable from their…

Computation and Language · Computer Science 2026-04-07 William Lugoloobi , Thomas Foster , William Bankes , Chris Russell

Recent advancements in pretraining have demonstrated that modern Large Language Models (LLMs) possess the capability to effectively learn arithmetic operations. However, despite acknowledging the significance of digit order in arithmetic…

Computation and Language · Computer Science 2024-03-12 Daniel Zhang-Li , Nianyi Lin , Jifan Yu , Zheyuan Zhang , Zijun Yao , Xiaokang Zhang , Lei Hou , Jing Zhang , Juanzi Li

A central notion in practical and theoretical machine learning is that of a $\textit{weak learner}$, classifiers that achieve better-than-random performance (on any given distribution over data), even by a small margin. Such weak learners…

Machine Learning · Computer Science 2023-06-27 Hariharan Manikandan , Yiding Jiang , J Zico Kolter

Numbers are a basic part of how humans represent and describe the world around them. As a consequence, learning effective representations of numbers is critical for the success of large language models as they become more integrated into…

Computation and Language · Computer Science 2025-02-04 Raja Marjieh , Veniamin Veselovsky , Thomas L. Griffiths , Ilia Sucholutsky

The rapid advancement of Large Language Models (LLMs) has opened new avenues in education. This study examines the use of LLMs in supporting learning in machine learning education; in particular, it focuses on the ability of LLMs to…

Computers and Society · Computer Science 2025-05-27 Smitha Kumar , Michael A. Lones , Manuel Maarek , Hind Zantout

Large language models (LLMs) are trained and tested extensively on symbolic representations such as code and graphs, yet real-world user tasks are often specified in natural language. To what extent can LLMs generalize across these…

Computation and Language · Computer Science 2026-02-04 Fangru Lin , Valentin Hofmann , Xingchen Wan , Weixing Wang , Zifeng Ding , Anthony G. Cohn , Janet B. Pierrehumbert

Large language models (LLMs) have scaled up to unlock a wide range of complex reasoning tasks with the aid of various prompting methods. However, current prompting methods generate natural language intermediate steps to help reasoning,…

Computation and Language · Computer Science 2023-10-10 Yi Hu , Haotong Yang , Zhouchen Lin , Muhan Zhang
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