A note on approximation in tensor chain format

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dc.contributor.author Espig, Mike
dc.contributor.author Naraparaju, Kishore Kumar
dc.contributor.author Schneider, Jan
dc.date.accessioned 2014-03-24T18:20:01Z
dc.date.available 2014-03-24T18:20:01Z
dc.date.issued 2012
dc.identifier.citation Espig, Mike; Naraparaju, Kishore Kumar and Schneider, Jan, “A note on approximation in tensor chain format”, Max Planck Institute for Mathematics in the Sciences, Preprint, DOI: http://www.mis.mpg.de/de/publications/preprints/2012/prepr2012-16.html, 2012. en_US
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/983
dc.description.abstract This paper deals with the approximation of d-dimensional tensors, as discrete representations of arbitrary functions f(x1; : : : ; xd) on [0;1]d, in the so-called Tensor Chain format. The main goal of this paper is to show that the construction of a Tensor Chain approximation is possible using Skeleton/Cross Approximation type methods. The complete algorithm is described, computational issues are discussed in detail and the complexity of the algorithm is shown to be linear in d. Some numerical examples are given to validate the theoretical results. en_US
dc.description.statementofresponsibility by Mike Espig, Kishore Kumar Naraparaju and Jan Schneider
dc.language.iso en en_US
dc.publisher Max Planck Institute for Mathematics in the Sciences en_US
dc.subject Cross apprximation en_US
dc.subject Singular value decomposition en_US
dc.subject Skeleton Decomposition en_US
dc.subject Tensor chain format en_US
dc.title A note on approximation in tensor chain format en_US
dc.type Preprint


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