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
Published in:	AIMS mathematics Vol. 7; no. 10; pp. 19018 - 19025
Main Authors:	Chen, Liang, Liu, Wenjun
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.01.2022
Subjects:	approximation complexity bandlimited functions deep relu networks fat-shattering dimension
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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