Statistical guarantees for regularized neural networks.

Least-Squares Analysis Mathematics Neural Networks, Computer
Deep learning Neural networks Prediction guarantees Regularization

Journal

Neural networks : the official journal of the International Neural Network Society
ISSN: 1879-2782
Titre abrégé: Neural Netw
Pays: United States
ID NLM: 8805018

Informations de publication

Date de publication:
Oct 2021
Historique:
received: 18 11 2020
revised: 10 04 2021
accepted: 26 04 2021
pubmed: 18 5 2021
medline: 25 11 2021
entrez: 17 5 2021
Statut: ppublish

Résumé

Neural networks have become standard tools in the analysis of data, but they lack comprehensive mathematical theories. For example, there are very few statistical guarantees for learning neural networks from data, especially for classes of estimators that are used in practice or at least similar to such. In this paper, we develop a general statistical guarantee for estimators that consist of a least-squares term and a regularizer. We then exemplify this guarantee with ℓ

Identifiants

DOI: 10.1016/j.neunet.2021.04.034 PMID: 34000562
pubmed: 34000562
pii: S0893-6080(21)00171-4
doi: 10.1016/j.neunet.2021.04.034
pii:
doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

IM

Pagination

148-161

Informations de copyright

Copyright © 2021 Elsevier Ltd. All rights reserved.

Déclaration de conflit d'intérêts

Declaration of Competing Interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Auteurs

Mahsa Taheri (M)

Department of Mathematics, Ruhr-University Bochum, Universitätsstraße 150, 44801 Bochum, Germany. Electronic address: mahsa.taheri@rub.de.

Fang Xie (F)

Department of Mathematics, Ruhr-University Bochum, Universitätsstraße 150, 44801 Bochum, Germany. Electronic address: fang.xie@rub.de.

Johannes Lederer (J)

Department of Mathematics, Ruhr-University Bochum, Universitätsstraße 150, 44801 Bochum, Germany. Electronic address: johannes.lederer@rub.de.

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Classifications MeSH

questionsmedicales.fr › Environnement et santé publique › Santé publique › Méthodes épidémiologiques › Statistiques comme sujet › Analyse de régression › Méthode des moindres carrés › Statistical guarantees for regularized neural networks.
questionsmedicales.fr › Disciplines des sciences naturelles › Mathématiques › Statistical guarantees for regularized neural networks.
questionsmedicales.fr › Sciences de l'information › Méthodologies informatiques › Algorithmes › Intelligence artificielle › Réseaux neuronaux (ordinateur) › Statistical guarantees for regularized neural networks.