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DC Field | Value | Language |
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dc.contributor.author | Cuyt, Annie | en_UK |
dc.contributor.author | Lee, Wen-Shin | en_UK |
dc.contributor.author | Yang, Xianglan | en_UK |
dc.date.accessioned | 2019-01-11T01:00:25Z | - |
dc.date.available | 2019-01-11T01:00:25Z | - |
dc.date.issued | 2016-12-30 | en_UK |
dc.identifier.uri | http://hdl.handle.net/1893/28470 | - |
dc.description.abstract | What 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.language.iso | en | en_UK |
dc.publisher | University of Jaen | en_UK |
dc.relation | Cuyt A, Lee W & Yang X (2016) On tensor decomposition, sparse interpolation and Padé approximation. Jaen Journal on Approximation, 8 (1), pp. 33-58. http://www.ujaen.es/revista/jja/pdf/pre/jja-0008-01-16-3.pdf | en_UK |
dc.rights | The 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.rights.uri | http://www.rioxx.net/licenses/under-embargo-all-rights-reserved | en_UK |
dc.subject | tensor decomposition, sparse interpolation, Gaussian integration, | en_UK |
dc.subject | Padé approximation, exponential analysis | en_UK |
dc.subject | MSC: Primary 41A55 | en_UK |
dc.subject | Secondary 41A25, 42B35 † | en_UK |
dc.title | On tensor decomposition, sparse interpolation and Padé approximation | en_UK |
dc.type | Journal Article | en_UK |
dc.rights.embargodate | 2999-12-31 | en_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.jtitle | Jaen Journal on Approximation | en_UK |
dc.citation.issn | 1989-7251 | en_UK |
dc.citation.issn | 1889-3066 | en_UK |
dc.citation.volume | 8 | en_UK |
dc.citation.issue | 1 | en_UK |
dc.citation.spage | 33 | en_UK |
dc.citation.epage | 58 | en_UK |
dc.citation.publicationstatus | Published | en_UK |
dc.citation.peerreviewed | Refereed | en_UK |
dc.type.status | VoR - Version of Record | en_UK |
dc.contributor.funder | University of Antwerp | en_UK |
dc.identifier.url | http://www.ujaen.es/revista/jja/pdf/pre/jja-0008-01-16-3.pdf | en_UK |
dc.contributor.affiliation | University of Antwerp | en_UK |
dc.contributor.affiliation | University of Antwerp | en_UK |
dc.contributor.affiliation | University of Antwerp | en_UK |
dc.identifier.wtid | 984014 | en_UK |
dc.contributor.orcid | 0000-0002-2808-3739 | en_UK |
dc.date.accepted | 2016-05-10 | en_UK |
dcterms.dateAccepted | 2016-05-10 | en_UK |
dc.date.filedepositdate | 2019-01-10 | en_UK |
rioxxterms.apc | not required | en_UK |
rioxxterms.type | Journal Article/Review | en_UK |
rioxxterms.version | VoR | en_UK |
local.rioxx.author | Cuyt, Annie| | en_UK |
local.rioxx.author | Lee, Wen-Shin|0000-0002-2808-3739 | en_UK |
local.rioxx.author | Yang, Xianglan| | en_UK |
local.rioxx.project | Project ID unknown|University of Antwerp| | en_UK |
local.rioxx.freetoreaddate | 2266-12-01 | en_UK |
local.rioxx.licence | http://www.rioxx.net/licenses/under-embargo-all-rights-reserved|| | en_UK |
local.rioxx.filename | jja-0008-01-16-3.pdf | en_UK |
local.rioxx.filecount | 1 | en_UK |
local.rioxx.source | 1889-3066 | en_UK |
Appears in Collections: | Computing Science and Mathematics Journal Articles |
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jja-0008-01-16-3.pdf | Fulltext - Published Version | 215.28 kB | Adobe PDF | Under Permanent Embargo Request a copy |
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