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Understanding the latent space geometry of large language models (LLMs) is key to interpreting their behavior and improving alignment. Yet it remains unclear to what extent LLMs linearly organize representations related to semantic…

Computation and Language · Computer Science 2026-01-22 Baturay Saglam , Paul Kassianik , Blaine Nelson , Sajana Weerawardhena , Yaron Singer , Amin Karbasi

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

Large language models (LLMs) show remarkable capabilities across a variety of tasks. Despite the models only seeing text in training, several recent studies suggest that LLM representations implicitly capture aspects of the underlying…

Computation and Language · Computer Science 2024-04-16 Yutaro Yamada , Yihan Bao , Andrew K. Lampinen , Jungo Kasai , Ilker Yildirim

The geometric structure of latent representations in large language models (LLMs) is an active area of research, driven in part by its implications for model transparency and AI safety. Existing literature has focused mainly on general…

Machine Learning · Computer Science 2026-04-14 Benjamin J. Choi , Melanie Weber

Previous work has showcased the intriguing capability of large language models (LLMs) in retrieving facts and processing context knowledge. However, only limited research exists on the layer-wise capability of LLMs to encode knowledge,…

Computation and Language · Computer Science 2024-03-05 Tianjie Ju , Weiwei Sun , Wei Du , Xinwei Yuan , Zhaochun Ren , Gongshen Liu

The geometric evolution of token representations in large language models (LLMs) presents a fundamental paradox: while human language inherently organizes semantic information in low-dimensional spaces ($\sim 10^1$ dimensions), modern LLMs…

Computation and Language · Computer Science 2025-03-31 Zhuo-Yang Song , Zeyu Li , Qing-Hong Cao , Ming-xing Luo , Hua Xing Zhu

Large language models (LLMs) have demonstrated emergent abilities across diverse tasks, raising the question of whether they acquire internal world models. In this work, we investigate whether LLMs implicitly encode linear spatial world…

Artificial Intelligence · Computer Science 2025-06-04 Matthieu Tehenan , Christian Bolivar Moya , Tenghai Long , Guang Lin

Integrating structured knowledge from Knowledge Graphs (KGs) into Large Language Models (LLMs) enhances factual grounding and reasoning capabilities. This survey paper systematically examines the synergy between KGs and LLMs, categorizing…

Computation and Language · Computer Science 2025-06-12 Blaž Škrlj , Boshko Koloski , Senja Pollak , Nada Lavrač

Large language models (LLMs) represent words through contextual word embeddings encoding different language properties like semantics and syntax. Understanding these properties is crucial, especially for researchers investigating language…

Computation and Language · Computer Science 2025-04-16 Rita Sevastjanova , Robin Gerling , Thilo Spinner , Mennatallah El-Assady

Large Language Models (LLMs) demonstrate an impressive capacity to recall a vast range of factual knowledge. However, understanding their underlying reasoning and internal mechanisms in exploiting this knowledge remains a key research area.…

Computation and Language · Computer Science 2024-08-07 Marco Bronzini , Carlo Nicolini , Bruno Lepri , Jacopo Staiano , Andrea Passerini

Large language models (LLMs) have led to breakthroughs in language tasks, yet the internal mechanisms that enable their remarkable generalization and reasoning abilities remain opaque. This lack of transparency presents challenges such as…

Computation and Language · Computer Science 2024-04-17 Haiyan Zhao , Fan Yang , Bo Shen , Himabindu Lakkaraju , Mengnan Du

Large Language Models (LLMs) are increasingly applied in the fields of mechanical engineering and materials science. As models that establish connections through the interface of language, LLMs can be applied for step-wise reasoning through…

Applied Physics · Physics 2025-07-22 Adrian Ehrenhofer , Thomas Wallmersperger , Gianaurelio Cuniberti

Despite the ubiquity of large language models (LLMs) in AI research, the question of embodiment in LLMs remains underexplored, distinguishing them from embodied systems in robotics where sensory perception directly informs physical action.…

Computation and Language · Computer Science 2024-05-28 Philipp Wicke , Lennart Wachowiak

Humans are believed to perceive numbers on a logarithmic mental number line, where smaller values are represented with greater resolution than larger ones. This cognitive bias, supported by neuroscience and behavioral studies, suggests that…

Computation and Language · Computer Science 2025-02-25 H. V. AlquBoj , Hilal AlQuabeh , Velibor Bojkovic , Tatsuya Hiraoka , Ahmed Oumar El-Shangiti , Munachiso Nwadike , Kentaro Inui

From extracting features to generating text, the outputs of large language models (LLMs) typically rely on the final layers, following the conventional wisdom that earlier layers capture only low-level cues. However, our analysis shows that…

Machine Learning · Computer Science 2025-06-17 Oscar Skean , Md Rifat Arefin , Dan Zhao , Niket Patel , Jalal Naghiyev , Yann LeCun , Ravid Shwartz-Ziv

Large Language Models (LLMs) drive current AI breakthroughs despite very little being known about their internal representations. In this work, we propose to shed the light on LLMs inner mechanisms through the lens of geometry. In…

Artificial Intelligence · Computer Science 2024-07-12 Randall Balestriero , Romain Cosentino , Sarath Shekkizhar

The scientific literature's exponential growth makes it increasingly challenging to navigate and synthesize knowledge across disciplines. Large language models (LLMs) are powerful tools for understanding scientific text, but they fail to…

Computation and Language · Computer Science 2025-05-30 Abhipsha Das , Nicholas Lourie , Siavash Golkar , Mariel Pettee

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

Since the advent of machine learning, interpretability has remained a persistent challenge, becoming increasingly urgent as generative models support high-stakes applications in drug and material discovery. Recent advances in large language…

Machine Learning · Computer Science 2025-12-10 Jaron Cohen , Alexander G. Hasson , Sara Tanovic

Since the middle of the 20th century, a fierce battle is being fought between symbolic and distributed approaches to language and cognition. The success of deep learning models, and LLMs in particular, has been alternatively taken as…

Computation and Language · Computer Science 2025-09-25 Gemma Boleda
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