Approximation by convolution translation networks on conic domains
type: Item
instance of: scholarly article
title: Approximation by convolution translation networks on conic domains
author: Bao-Huai Sheng
author: Dao-Hong Xiang
publication date: 2025-01-10T00:00:00Z
Mathematics Subject Classification ID: 42A85
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C50
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 7965383
zbMATH Keywords: Fourier orthogonal series
zbMATH Keywords: conic domain
zbMATH Keywords: localized kernel
zbMATH Keywords: translation network
zbMATH Keywords: density
zbMATH Keywords: approximation order
MaRDI profile type: Publication
cites work: A Convolution Structure for Jacobi Series
cites work: Q4927560
cites work: Best approximation and \(K\)-functionals
cites work: Approximation by Ridge functions and neural networks with one hidden layer
cites work: Approximation by superpositions of a sigmoidal function
cites work: Approximation Theory and Harmonic Analysis on Spheres and Balls
cites work: Q3154145
cites work: Jacobi decomposition of weighted Triebel–Lizorkin and Besov spaces
cites work: Determination of compactly supported functions in shift-invariant space by single-angle Radon samples
cites work: On approximation by univariate sigmoidal neural networks
cites work: Degree of approximation by neural and translation networks with a single hidden layer
cites work: Approximation properties of zonal function networks using scattered data on the sphere
cites work: The mathematics of computerized tomography
cites work: On approximation by reproducing kernel spaces in weighted \(L^p\) spaces
cites work: Q5310295
cites work: Q5062734
cites work: On the density of translation networks defined on the unit ball
cites work: A note on singular value decomposition for Radon transform in \(R^n\)
cites work: Q4801780
cites work: On the norm of the OPED algorithm on the ball
cites work: Neural network interpolation operators of multivariate functions
cites work: The ridge function representation of polynomials and an application to neural networks
cites work: Orthogonal polynomials and Fourier orthogonal series on a cone
cites work: Approximation and localized polynomial frame on conic domains
cites work: Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid
cites work: Reconstruction from Radon projections and orthogonal expansion on a ball
cites work: The essential order of approximation for neural networks
cites work: Approximation by neural networks with sigmoidal functions
cites work: Q2983500
cites work: A note on the norm of an algorithm for reconstruction from Radon data on the ball
cites work: Deep distributed convolutional neural networks: Universality
cites work: Universality of deep convolutional neural networks
published in: Acta Mathematica Sinica, English Series
DOI: 10.1007/S10114-024-4019-8
description: scientific article; zbMATH DE number 7965383