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dc.contributor.authorCuyt, Annieen_UK
dc.contributor.authorLee, Wen-Shinen_UK
dc.contributor.authorYang, Xianglanen_UK
dc.description.abstractWhat is the connection of tensor decomposition in multilinear algebra with exponential analysis from signal processing, sparse interpolation from computer algebra, Gaussian quadrature from numerical analysis, and Padé approximation theory? These seemingly unrelated and diverse topics are nevertheless deeply intertwined, as we explain here. However, several of these connections have remained unexplored. The various reformulations bring forth new ways to approach the problem of tensor decomposition (see Section 7) and suggestions for generalizations of existing methods (see Section 6). This may lead to important results since tensor decomposition has a number of grand applications [24], among others in chemometrics, neuroscience, computer vision, social network analysis, big data and the like. In Section 1 we introduce the problem statement. Subsequently the connections are first established for two-dimensional tensors in the sections 2 and 3. Higher dimensional tensors are dealt with in the sections 4 and 5, with a discussion of the connections to the mentioned topics in the sections 6 and 7. We conclude in Section 8 with an illustration of the interrelationships and of our novel approach. Both the existing method presented in Section 5 and the new technique presented in Section 7 are shown.en_UK
dc.publisherUniversity of Jaenen_UK
dc.relationCuyt A, Lee W & Yang X (2016) On tensor decomposition, sparse interpolation and Padé approximation. Jaen Journal on Approximation, 8 (1), pp. 33-58.
dc.rightsThe publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study.en_UK
dc.subjecttensor decomposition, sparse interpolation, Gaussian integration,en_UK
dc.subjectPadé approximation, exponential analysisen_UK
dc.subjectMSC: Primary 41A55en_UK
dc.subjectSecondary 41A25, 42B35 †en_UK
dc.titleOn tensor decomposition, sparse interpolation and Padé approximationen_UK
dc.typeJournal Articleen_UK
dc.rights.embargoreason[jja-0008-01-16-3.pdf] The publisher does not allow this work to be made publicly available in this Repository therefore there is an embargo on the full text of the work.en_UK
dc.citation.jtitleJaen Journal on Approximationen_UK
dc.type.statusVoR - Version of Recorden_UK
dc.contributor.funderUniversity of Antwerpen_UK
dc.contributor.affiliationUniversity of Antwerpen_UK
dc.contributor.affiliationUniversity of Antwerpen_UK
dc.contributor.affiliationUniversity of Antwerpen_UK
dc.description.refREF Eligible with Permitted Exceptionen_UK
Appears in Collections:Computing Science and Mathematics Journal Articles

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