MgNet: a unified framework of multigrid and convolutional neural network
type: Item
instance of: scholarly article
title: MgNet: a unified framework of multigrid and convolutional neural network
zbMATH Open document ID: 1476.65026
author: Juncai He
author: Jinchao Xu
published in: Science China. Mathematics
publication date: 2019-08-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1901.10415
Mathematics Subject Classification ID: 65D19
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 68T07
Mathematics Subject Classification ID: 68T30
zbMATH DE Number: 7089584
zbMATH Keywords: convolutional neural network
zbMATH Keywords: multigrid
zbMATH Keywords: unified framework
zbMATH Keywords: network architecture
cites work: AlexNet
cites work: Universal approximation bounds for superpositions of a sigmoidal function
cites work: Optimization Methods for Large-Scale Machine Learning
cites work: Approximation by superpositions of a sigmoidal function
cites work: A proposal on machine learning via dynamical systems
cites work: Exponential convergence of the deep neural network approximation for analytic functions
cites work: Q4310147
cites work: Q4917542
cites work: Q5270493
cites work: Iterative solution of large sparse systems of equations. Transl. from the German
cites work: Q3727300
cites work: Multilayer feedforward networks are universal approximators
cites work: Q4938227
cites work: Provable approximation properties for deep neural networks
cites work: Iterative Methods by Space Decomposition and Subspace Correction
cites work: The method of alternating projections and the method of subspace corrections in Hilbert space
cites work: Algebraic multigrid methods
cites work: Deep distributed convolutional neural networks: Universality
describes a project that uses: AlexNet
describes a project that uses: CIFAR
describes a project that uses: U-Net
describes a project that uses: ImageNet
describes a project that uses: PDE-Net
describes a project that uses: V-Net
describes a project that uses: DeconvNet
MaRDI profile type: Publication
OpenAlex ID: W2912389156
arXiv ID: 1901.10415
Wikidata QID: Q127799282
DOI: 10.1007/S11425-019-9547-2
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description: scientific article