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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
16/2012

A note on approximation in Tensor Chain format

Mike Espig, Kishore Kumar Naraparaju and Jan Schneider

Abstract

This note deals with the approximation of $d$-dimensional tensors, as discrete representations of arbitrary functions $f(x_1,\ldots,x_d)$ on $[0,1]^d$, in the so-called Tensor Chain format using Cross Approximation methods.

Received:
Mar 14, 2012
Published:
Mar 14, 2012

Related publications

inJournal
2012 Repository Open Access
Mike Espig, Kishore Kumar Naraparaju and Jan Schneider

A note on tensor chain approximation

In: Computing and visualization in science, 15 (2012) 6, pp. 331-344