Representation Learning on a Random Lattice

Fuente: arXiv
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Autor principal: Brill, Aryeh
Formato: Preprint
Publicado: 2025
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author Brill, Aryeh
author_facet Brill, Aryeh
contents Decomposing a deep neural network's learned representations into interpretable features could greatly enhance its safety and reliability. To better understand features, we adopt a geometric perspective, viewing them as a learned coordinate system for mapping an embedded data distribution. We motivate a model of a generic data distribution as a random lattice and analyze its properties using percolation theory. Learned features are categorized into context, component, and surface features. The model is qualitatively consistent with recent findings in mechanistic interpretability and suggests directions for future research.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20197
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Representation Learning on a Random Lattice
Brill, Aryeh
Machine Learning
Disordered Systems and Neural Networks
Artificial Intelligence
Decomposing a deep neural network's learned representations into interpretable features could greatly enhance its safety and reliability. To better understand features, we adopt a geometric perspective, viewing them as a learned coordinate system for mapping an embedded data distribution. We motivate a model of a generic data distribution as a random lattice and analyze its properties using percolation theory. Learned features are categorized into context, component, and surface features. The model is qualitatively consistent with recent findings in mechanistic interpretability and suggests directions for future research.
title Representation Learning on a Random Lattice
topic Machine Learning
Disordered Systems and Neural Networks
Artificial Intelligence
url https://arxiv.org/abs/2504.20197