On the uniform approximation estimation of deep ReLU networks via frequency decomposition

A recent line of works established the approximation complexity estimation of deep ReLU networks for the bandlimited functions in the MSE (mean square error) sense. In this note, we significantly enhance this result, that is, we estimate the approximation complexity in the $ L_{\infty} $ sense. The...

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Bibliographic Details
Main Authors: Liang Chen, Wenjun Liu
Format: Article
Language:English
Published: AIMS Press 2022-08-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20221045?viewType=HTML