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  4. Analysis of Tensor Approximation Schemes for Continuous Functions
 
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2023
Journal Article
Title

Analysis of Tensor Approximation Schemes for Continuous Functions

Abstract
In this article, we analyze tensor approximation schemes for continuous functions. We assume that the function to be approximated lies in an isotropic Sobolev space and discuss the cost when approximating this function in the continuous analogue of the Tucker tensor format or of the tensor train format. We especially show that the cost of both approximations are dimension-robust when the Sobolev space under consideration provides appropriate dimension weights.
Author(s)
Griebel, Michael  
Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI  
Harbrecht, Helmut
Universität Basel, Switzerland
Journal
Foundations of Computational Mathematics  
Project(s)
The Mathematics of Emergent Effects
Funder
Deutsche Forschungsgemeinschaft DFG  
Open Access
DOI
10.1007/s10208-021-09544-6
Language
English
Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI  
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