Gabor neural networks with proven approximation properties
type: Item
instance of: scholarly article
title: Gabor neural networks with proven approximation properties
author: Wojciech Czaja
author: Yiran Li
published in: The Journal of Geometric Analysis
publication date: 2021-08-31T00:00:00Z
Mathematics Subject Classification ID: 68T07
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 42A10
zbMATH DE Number: 7388951
zbMATH Keywords: Gabor frame
zbMATH Keywords: approximation theory
zbMATH Keywords: deep neural network
MaRDI profile type: Publication
full work available at URL: s12220-020-00575-z
OpenAlex ID: W3119949288
Wikidata QID: Q114221041
cites work: Lipschitz properties for deep convolutional networks
cites work: Provable approximation properties for deep neural networks
cites work: Optimal Approximation with Sparsely Connected Deep Neural Networks
cites work: Group invariant scattering
cites work: A Mathematical Theory of Deep Convolutional Neural Networks for Feature Extraction
cites work: A unified characterization of reproducing systems generated by a finite family
cites work: A unified characterization of reproducing systems generated by a finite family. II
cites work: Oversampling, quasi-affine frames, and wave packets
cites work: Continuous and Discrete Reproducing Systems That Arise from Translations. Theory and Applications of Composite Wavelets
cites work: Approximation by superpositions of a sigmoidal function
cites work: Universal approximation bounds for superpositions of a sigmoidal function
cites work: Discrete directional Gabor frames
cites work: Analysis of time-frequency scattering transforms
cites work: Rotationally invariant time-frequency scattering transforms
cites work: Deep Neural Network Approximation Theory
cites work: Q4889557
cites work: Foundations of time-frequency analysis
cites work: A Class of Nonharmonic Fourier Series
cites work: Continuity properties of the Gabor frame operator
cites work: Wilson Bases and Modulation Spaces
cites work: Weyl-Heisenberg frames, translation invariant systems and the Walnut representation
cites work: Regularity of dual Gabor windows
DOI: 10.1007/S12220-020-00575-Z
description: scientific article; zbMATH DE number 7388951