Data Entry: Please note that the research database will be replaced by UNIverse by the end of October 2023. Please enter your data into the system https://universe-intern.unibas.ch. Thanks

Login for users with Unibas email account...

Login for registered users without Unibas email account...

 
Analysis of tensor approximation schemes for continuous functions
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 4664891
Author(s) Griebel, Michael; Harbrecht, Helmut
Author(s) at UniBasel Harbrecht, Helmut
Year 2023
Title Analysis of tensor approximation schemes for continuous functions
Journal Foundations of Computational Mathematics
Volume 23
Number 1
Pages / Article-Number 219-240
Keywords tensor format, approximation error, rank complexity, Sobolev space with dimension weights
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
Publisher Springer
ISSN/ISBN 1615-3375 ; 1615-3383
edoc-URL https://edoc.unibas.ch/94270/
Full Text on edoc Available
Digital Object Identifier DOI 10.1007/s10208-021-09544-6
ISI-Number WOS:000706910900002
Document type (ISI) Article
 
   

MCSS v5.8 PRO. 0.326 sec, queries - 0.000 sec ©Universität Basel  |  Impressum   |    
29/03/2024