A counterexample regarding "New study on neural networks: The essential order of approximation".
Neural networks
Rates of convergence
Sharpness of error bounds
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:
03 2020
03 2020
Historique:
received:
24
10
2019
revised:
17
11
2019
accepted:
10
12
2019
pubmed:
31
12
2019
medline:
23
6
2020
entrez:
31
12
2019
Statut:
ppublish
Résumé
The paper "New study on neural networks: the essential order of approximation" by Jianjun Wang and Zongben Xu, which appeared in Neural Networks 23 (2010), deals with upper and lower estimates for the error of best approximation with sums of nearly exponential type activation functions in terms of moduli of smoothness. In particular, the presented lower bound is astonishingly good. However, the proof is incorrect and the bound is wrong.
Identifiants
pubmed: 31887683
pii: S0893-6080(19)30399-5
doi: 10.1016/j.neunet.2019.12.007
pii:
doi:
Types de publication
Letter
Comment
Langues
eng
Sous-ensembles de citation
IM
Pagination
234-235Commentaires et corrections
Type : CommentOn
Informations de copyright
Copyright © 2019 Elsevier Ltd. All rights reserved.