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.
A note on approximation in Tensor Chain format
Mike Espig, Kishore Kumar Naraparaju and Jan Schneider
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.