English
Related papers

Related papers: The Geometry of Numerical Reasoning: Language Mode…

200 papers

Large language models (LLMs) demonstrate extraordinary abilities in a wide range of natural language processing (NLP) tasks. In this paper, we show that, beyond text understanding capability, LLMs are capable of processing text layouts that…

Computation and Language · Computer Science 2024-08-29 Weiming Li , Manni Duan , Dong An , Yan Shao

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Large language models (LLMs) have demonstrated impressive capabilities in various reasoning tasks, aided by techniques like chain-of-thought prompting that elicits verbalized reasoning. However, LLMs often generate text with obvious…

Artificial Intelligence · Computer Science 2024-12-06 Zhihui Xie , Jizhou Guo , Tong Yu , Shuai Li

The advancement of large language models (LLMs) for real-world applications hinges critically on enhancing their reasoning capabilities. In this work, we explore the reasoning abilities of large language models (LLMs) through their…

Artificial Intelligence · Computer Science 2024-07-04 Romain Cosentino , Sarath Shekkizhar

Large Language Models (LLMs) have transformed text generation through inherently probabilistic context-aware mechanisms, mimicking human natural language. In this paper, we systematically investigate the performance of various LLMs when…

Computation and Language · Computer Science 2025-02-28 Javier Coronado-Blázquez

This paper investigates the information encoded in the embeddings of large language models (LLMs). We conduct simulations to analyze the representation entropy and discover a power law relationship with model sizes. Building upon this…

Machine Learning · Computer Science 2024-02-07 Zhiquan Tan , Chenghai Li , Weiran Huang

Large Language Models (LLMs) demonstrate ever-increasing abilities in mathematical and algorithmic tasks, yet their geometric reasoning skills are underexplored. We investigate LLMs' abilities in constructive geometric problem-solving one…

Computation and Language · Computer Science 2024-09-23 Spyridon Mouselinos , Henryk Michalewski , Mateusz Malinowski

Large Language Models (LLMs) have impressive capabilities, but are prone to outputting falsehoods. Recent work has developed techniques for inferring whether a LLM is telling the truth by training probes on the LLM's internal activations.…

Artificial Intelligence · Computer Science 2024-08-20 Samuel Marks , Max Tegmark

Large pre-trained language models (LMs) are known to encode substantial amounts of linguistic information. However, high-level reasoning skills, such as numerical reasoning, are difficult to learn from a language-modeling objective only.…

Computation and Language · Computer Science 2020-04-10 Mor Geva , Ankit Gupta , Jonathan Berant

Large language models (LLMs) are increasingly used in situations where human values are at stake, such as decision-making tasks that involve reasoning when performed by humans. We investigate the so-called reasoning capabilities of LLMs…

Computation and Language · Computer Science 2025-12-25 Nathaniël de Leeuw , Marceau Nahon , Mathis Reymond , Raja Chatila , Mehdi Khamassi

Vector representations of contextual embeddings learned by pre-trained large language models (LLMs) are effective in various downstream tasks in numerical domains such as time series forecasting. Despite their significant benefits, the…

Computation and Language · Computer Science 2025-06-24 Rashed Shelim , Shengzhe Xu , Walid Saad , Naren Ramakrishnan

Large Language Models (LLMs) show strong generalization across diverse tasks, yet the internal decision-making processes behind their predictions remain opaque. In this work, we study the geometry of hidden representations in LLMs through…

Machine Learning · Computer Science 2025-11-26 Abhinav Joshi , Divyanshu Bhatt , Ashutosh Modi

Machine learning practitioners often face significant challenges in formally integrating their prior knowledge and beliefs into predictive models, limiting the potential for nuanced and context-aware analyses. Moreover, the expertise needed…

Machine Learning · Statistics 2024-12-23 James Requeima , John Bronskill , Dami Choi , Richard E. Turner , David Duvenaud

Two major areas of interest in the era of Large Language Models regard questions of what do LLMs know, and if and how they may be able to reason (or rather, approximately reason). Since to date these lines of work progressed largely in…

Computation and Language · Computer Science 2024-05-01 D. Panas , S. Seth , V. Belle

Generative Large Language Models (LLMs) infer user's demographic information from subtle cues in the conversation -- a phenomenon called implicit personalization. Prior work has shown that such inferences can lead to lower quality responses…

Computation and Language · Computer Science 2025-09-17 Vera Neplenbroek , Arianna Bisazza , Raquel Fernández

Large language models (LLMs) process and predict sequences containing text to answer questions, and address tasks including document summarization, providing recommendations, writing software and solving quantitative problems. We provide a…

Numerical Analysis · Mathematics 2026-02-02 Ricardo Baptista , Andrew Stuart , Son Tran

In this work, we argue that large language models (LLMs), though trained to predict only the next token, exhibit emergent planning behaviors: $\textbf{their hidden representations encode future outputs beyond the next token}$. Through…

Computation and Language · Computer Science 2025-08-05 Zhichen Dong , Zhanhui Zhou , Zhixuan Liu , Chao Yang , Chaochao Lu

Large language models (LLMs) enable researchers to analyze text at unprecedented scale and minimal cost. Researchers can now revisit old questions and tackle novel ones with rich data. We provide an econometric framework for realizing this…

Econometrics · Economics 2025-12-08 Jens Ludwig , Sendhil Mullainathan , Ashesh Rambachan

Counting is one of the fundamental abilities of large language models (LLMs) and large vision-language models (LVLMs). This paper examines how these foundation models represent and compute numerical information in counting tasks. We use…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Hosein Hasani , Amirmohammad Izadi , Fatemeh Askari , Mobin Bagherian , Sadegh Mohammadian , Mohammad Izadi , Mahdieh Soleymani Baghshah

We investigate how LLMs encode sociodemographic attributes of human conversational partners inferred from indirect cues such as names and occupations. We show that LLMs develop linear representations of user demographics within activation…

Artificial Intelligence · Computer Science 2025-12-12 Paul Bouchaud , Pedro Ramaciotti