A Generalization Bound for Nearly-Linear Networks

Fuente: arXiv
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Autor principal: Golikov, Eugene
Formato: Preprint
Publicado: 2024
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author Golikov, Eugene
author_facet Golikov, Eugene
contents We consider nonlinear networks as perturbations of linear ones. Based on this approach, we present novel generalization bounds that become non-vacuous for networks that are close to being linear. The main advantage over the previous works which propose non-vacuous generalization bounds is that our bounds are a-priori: performing the actual training is not required for evaluating the bounds. To the best of our knowledge, they are the first non-vacuous generalization bounds for neural nets possessing this property.
format Preprint
id arxiv_https___arxiv_org_abs_2407_06765
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Generalization Bound for Nearly-Linear Networks
Golikov, Eugene
Machine Learning
Artificial Intelligence
We consider nonlinear networks as perturbations of linear ones. Based on this approach, we present novel generalization bounds that become non-vacuous for networks that are close to being linear. The main advantage over the previous works which propose non-vacuous generalization bounds is that our bounds are a-priori: performing the actual training is not required for evaluating the bounds. To the best of our knowledge, they are the first non-vacuous generalization bounds for neural nets possessing this property.
title A Generalization Bound for Nearly-Linear Networks
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2407.06765