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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

Large language models (LLMs) exhibit emergent behaviors suggestive of human-like reasoning. While recent work has identified structured conceptual representations within these models, it remains unclear whether they functionally rely on…

Computation and Language · Computer Science 2026-04-21 Ningyu Xu , Qi Zhang , Xipeng Qiu , Xuanjing Huang

Geometric analyses of large language model (LLM) representations reveal structured variation across depth but remain fundamentally correlational with respect to token prediction formation. Meanwhile, causal interventions expose…

Machine Learning · Computer Science 2026-05-27 Shahar Haim , Daniel C McNamee

In cognitive science and AI, a longstanding question is whether machines learn representations that align with those of the human mind. While current models show promise, it remains an open question whether this alignment is superficial or…

Neurons and Cognition · Quantitative Biology 2025-10-27 Craig Sanders , Billy Dickson , Sahaj Singh Maini , Robert Nosofsky , Zoran Tiganj

A language model (LM) is a mapping from a linguistic context to an output token. However, much remains to be known about this mapping, including how its geometric properties relate to its function. We take a high-level geometric approach to…

Computation and Language · Computer Science 2025-05-01 Emily Cheng , Diego Doimo , Corentin Kervadec , Iuri Macocco , Jade Yu , Alessandro Laio , Marco Baroni

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

This paper studies the emergence of interpretable categorical features within large language models (LLMs), analyzing their behavior across training checkpoints (time), transformer layers (space), and varying model sizes (scale). Using…

Computation and Language · Computer Science 2025-05-27 Shashata Sawmya , Micah Adler , Nir Shavit

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

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

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) achieve state-of-the-art results across many natural language tasks, but their internal mechanisms remain difficult to interpret. In this work, we extract, process, and visualize latent state geometries in…

Machine Learning · Computer Science 2026-01-06 Alex Ning , Vainateya Rangaraju , Yen-Ling Kuo

We investigate the geometry of predictive information across the layers of large language models (LLMs). We repurpose representation lenses-learned affine maps trained to predict the next token from intermediate residual streams-as…

Machine Learning · Computer Science 2026-05-12 Gianfranco Lombardo , Giuseppe Trimigno , Stefano Cagnoni

We study how large language models (LLMs) ``think'' through their representation space. We propose a novel geometric framework that models an LLM's reasoning as flows -- embedding trajectories evolving where logic goes. We disentangle…

Artificial Intelligence · Computer Science 2026-03-05 Yufa Zhou , Yixiao Wang , Xunjian Yin , Shuyan Zhou , Anru R. Zhang

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

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

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

Machine Learning · Computer Science 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

Understanding how humans conceptualize and categorize natural objects offers critical insights into perception and cognition. With the advent of Large Language Models (LLMs), a key question arises: can these models develop human-like object…

Artificial Intelligence · Computer Science 2025-06-12 Changde Du , Kaicheng Fu , Bincheng Wen , Yi Sun , Jie Peng , Wei Wei , Ying Gao , Shengpei Wang , Chuncheng Zhang , Jinpeng Li , Shuang Qiu , Le Chang , Huiguang He

Large transformers are powerful architectures used for self-supervised data analysis across various data types, including protein sequences, images, and text. In these models, the semantic structure of the dataset emerges from a sequence of…

Machine Learning · Computer Science 2023-10-31 Lucrezia Valeriani , Diego Doimo , Francesca Cuturello , Alessandro Laio , Alessio Ansuini , Alberto Cazzaniga

Large Language Models (LLMs) are becoming increasingly popular in pervasive computing due to their versatility and strong performance. However, despite their ubiquitous use, the exact mechanisms underlying their outstanding performance…

Computation and Language · Computer Science 2026-02-02 Alhassan Abdelhalim , Janick Edinger , Sören Laue , Michaela Regneri
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