dc.contributor.author Díez, Pedro dc.contributor.author Zlotnik, Sergio dc.contributor.author García González, Alberto dc.contributor.author Huerta, Antonio dc.contributor.other Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental dc.date.accessioned 2018-11-06T09:06:08Z dc.date.available 2019-07-01T08:05:38Z dc.date.issued 2018-07 dc.identifier.citation Diez, P., Zlotnik, S., Garcia, A., Huerta, A. Algebraic PGD for tensor separation and compression: an algorithmic approach. "Comptes rendus mécanique", Juliol 2018, vol. 346, núm. 7, p. 501-514. dc.identifier.issn 1631-0721 dc.identifier.uri http://hdl.handle.net/2117/123592 dc.description.abstract Proper Generalized Decomposition (PGD) is devised as a computational method to solve high-dimensional boundary value problems (where many dimensions are associated with the space of parameters defining the problem). The PGD philosophy consists in providing a separated representation of the multidimensional solution using a greedy approach combined with an alternated directions scheme to obtain the successive rank-one terms. This paper presents an algorithmic approach to high-dimensional tensor separation based on solving the Least Squares approximation in a separable format of multidimensional tensor using PGD. This strategy is usually embedded in a standard PGD code in order to compress the solution (reduce the number of terms and optimize the available storage capacity), but it stands also as an alternative and highly competitive method for tensor separation. dc.format.extent 14 p. dc.language.iso eng dc.subject Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra dc.subject.lcsh System theory dc.subject.other Tensor separation dc.subject.other Algebraic PGD dc.subject.other Least-squares approximation dc.title Algebraic PGD for tensor separation and compression: an algorithmic approach dc.type Article dc.subject.lemac Sistemes de control dc.contributor.group Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria dc.identifier.doi 10.1016/j.crme.2018.04.011 dc.description.peerreviewed Peer Reviewed dc.subject.ams Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure dc.relation.publisherversion https://www.sciencedirect.com/science/article/pii/S1631072118300809 dc.rights.access Open Access drac.iddocument 22959467 dc.description.version Postprint (author's final draft) upcommons.citation.author Diez, P., Zlotnik, S., Garcia, A., Huerta, A. upcommons.citation.published true upcommons.citation.publicationName Comptes rendus mécanique upcommons.citation.volume 346 upcommons.citation.number 7 upcommons.citation.startingPage 501 upcommons.citation.endingPage 514
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