Learning curves for the multi-class teacher–student perceptron

E Cornacchia, F Mignacco, R Veiga… - Machine Learning …, 2023 - iopscience.iop.org
One of the most classical results in high-dimensional learning theory provides a closed-form
expression for the generalisation error of binary classification with a single-layer teacher …

Stochastic and quantum dynamics of repulsive particles: from random matrix theory to trapped fermions

T Gautié - arXiv preprint arXiv:2111.05737, 2021 - arxiv.org
This statistical physics thesis focuses on the study of three kinds of systems which display
repulsive interactions: eigenvalues of random matrices, non-crossing random walks and …

Statistical physics analysis of machine learning models

RS Veiga - 2022 - teses.usp.br
This thesis presents three main contributions to the understanding of machine learning
models by making use of statistical physics tools. First, we investigate the possible relation …