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Analysis of tensor approximation schemes for continuous functions

Date Issued
2023-01-01
Author(s)
Griebel, Michael
Harbrecht, Helmut  
DOI
10.1007/s10208-021-09544-6
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
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