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Understanding the internal mechanisms of large language models (LLMs) remains a challenging and complex endeavor. Even fundamental questions, such as how fine-tuning affects model behavior, often require extensive empirical evaluation. In…

Translation into morphologically-rich languages challenges neural machine translation (NMT) models with extremely sparse vocabularies where atomic treatment of surface forms is unrealistic. This problem is typically addressed by either…

Computation and Language · Computer Science 2020-02-28 Duygu Ataman , Wilker Aziz , Alexandra Birch

Large Language Models (LLMs) perform internal computations in continuous vector spaces yet produce discrete tokens -- a fundamental mismatch whose geometric consequences remain poorly understood. We develop a mathematical framework that…

Machine Learning · Computer Science 2026-03-25 Mohamed A. Mabrok

Neural networks embed the geometric structure of a data manifold lying in a high-dimensional space into latent representations. Ideally, the distribution of the data points in the latent space should depend only on the task, the data, the…

Machine Learning · Computer Science 2023-03-08 Luca Moschella , Valentino Maiorca , Marco Fumero , Antonio Norelli , Francesco Locatello , Emanuele Rodolà

Recognition of speech, and in particular the ability to generalize and learn from small sets of labelled examples like humans do, depends on an appropriate representation of the acoustic input. We formulate the problem of finding robust…

We study the geometric structure of layer updates in deep language models. Rather than analyzing what information is encoded in intermediate representations, we ask how representations change from one layer to the next. We show that…

Machine Learning · Computer Science 2026-04-06 Jun-Sik Yoo

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

A number of machine learning tasks entail a high degree of invariance: the data distribution does not change if we act on the data with a certain group of transformations. For instance, labels of images are invariant under translations of…

Machine Learning · Statistics 2021-03-01 Song Mei , Theodor Misiakiewicz , Andrea Montanari

The internal representations learned by language models consistently exhibit striking geometric structure: calendar months organize into a circle, historical years form a smooth one-dimensional manifold, and cities' latitudes and longitudes…

Machine Learning · Computer Science 2026-02-27 Dhruva Karkada , Daniel J. Korchinski , Andres Nava , Matthieu Wyart , Yasaman Bahri

Transformers have significantly advanced the field of natural language processing, but comprehending their internal mechanisms remains a challenge. In this paper, we introduce a novel geometric perspective that elucidates the inner…

Computation and Language · Computer Science 2023-09-20 Raul Molina

This thesis investigates how the sub-structure of words can be accounted for in probabilistic models of language. Such models play an important role in natural language processing tasks such as translation or speech recognition, but often…

Computation and Language · Computer Science 2015-08-19 Jan A. Botha

While vector-based language representations from pretrained language models have set a new standard for many NLP tasks, there is not yet a complete accounting of their inner workings. In particular, it is not entirely clear what aspects of…

Computation and Language · Computer Science 2021-04-16 Matteo Alleman , Jonathan Mamou , Miguel A Del Rio , Hanlin Tang , Yoon Kim , SueYeon Chung

Does Large Language Model (LLM) technology suggest a meta-semantic picture i.e. a picture of how words and complex expressions come to have the meaning that they do? One modest approach explores the assumptions that seem to be built into…

Computation and Language · Computer Science 2026-03-30 Jumbly Grindrod

Large Language Models (LLMs) have demonstrated unprecedented capabilities across various natural language processing tasks. Their ability to process and generate viable text and code has made them ubiquitous in many fields, while their…

Machine Learning · Computer Science 2025-05-13 Stef De Sabbata , Stefano Mizzaro , Kevin Roitero

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

Meaning is context-dependent, but many properties of language (should) remain the same even if we transform the context. For example, sentiment, entailment, or speaker properties should be the same in a translation and original of a text.…

Computation and Language · Computer Science 2021-10-04 Federico Bianchi , Debora Nozza , Dirk Hovy

Integrating compositional and symbolic properties into current distributional semantic spaces can enhance the interpretability, controllability, compositionality, and generalisation capabilities of Transformer-based auto-regressive language…

Computation and Language · Computer Science 2026-04-16 Yingji Zhang , Danilo S. Carvalho , André Freitas

Formal/symbolic semantics can provide canonical, rigid controllability and interpretability to sentence representations due to their \textit{localisation} or \textit{composition} property. How can we deliver such property to the current…

Computation and Language · Computer Science 2025-07-02 Yingji Zhang , Danilo S. Carvalho , André Freitas

A complete representation of 3D objects requires characterizing the space of deformations in an interpretable manner, from articulations of a single instance to changes in shape across categories. In this work, we improve on a prior…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Tristan Aumentado-Armstrong , Stavros Tsogkas , Sven Dickinson , Allan Jepson

Unsupervised approaches for learning representations invariant to common transformations are used quite often for object recognition. Learning invariances makes models more robust and practical to use in real-world scenarios. Since data…

Machine Learning · Computer Science 2024-02-27 Gauri Gupta , Ritvik Kapila , Keshav Gupta , Ramesh Raskar