Entropy, concentration, and learning: a statistical mechanics primer

Fuente: arXiv
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Autor principal: Balsubramani, Akshay
Formato: Preprint
Publicado: 2024
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author Balsubramani, Akshay
author_facet Balsubramani, Akshay
contents Artificial intelligence models trained through loss minimization have demonstrated significant success, grounded in principles from fields like information theory and statistical physics. This work explores these established connections through the lens of statistical mechanics, starting from first-principles sample concentration behaviors that underpin AI and machine learning. Our development of statistical mechanics for modeling highlights the key role of exponential families, and quantities of statistics, physics, and information theory.
format Preprint
id arxiv_https___arxiv_org_abs_2409_18630
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Entropy, concentration, and learning: a statistical mechanics primer
Balsubramani, Akshay
Machine Learning
Statistical Mechanics
Artificial Intelligence
Information Theory
Artificial intelligence models trained through loss minimization have demonstrated significant success, grounded in principles from fields like information theory and statistical physics. This work explores these established connections through the lens of statistical mechanics, starting from first-principles sample concentration behaviors that underpin AI and machine learning. Our development of statistical mechanics for modeling highlights the key role of exponential families, and quantities of statistics, physics, and information theory.
title Entropy, concentration, and learning: a statistical mechanics primer
topic Machine Learning
Statistical Mechanics
Artificial Intelligence
Information Theory
url https://arxiv.org/abs/2409.18630