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dc.contributor.authorDíez, Pedro
dc.contributor.authorZlotnik, Sergio
dc.contributor.authorGarcía González, Alberto
dc.contributor.authorHuerta, Antonio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.identifier.citationDiez, 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.description.abstractProper 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.extent14 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
dc.subject.lcshSystem theory
dc.subject.otherTensor separation
dc.subject.otherAlgebraic PGD
dc.subject.otherLeast-squares approximation
dc.titleAlgebraic PGD for tensor separation and compression: an algorithmic approach
dc.subject.lemacSistemes de control
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorDiez, P., Zlotnik, S., Garcia, A., Huerta, A.
upcommons.citation.publicationNameComptes rendus mécanique

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