File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Symmetric orthogonal approximation to symmetric tensors with applications to image reconstruction

TitleSymmetric orthogonal approximation to symmetric tensors with applications to image reconstruction
Authors
Pan, JunjunNg, Michael K.
Keywordssymmetric tensors
symmetric orthogonal
power method
polar decomposition
cumulant tensors
tensor decomposition
Issue Date2018
Citation
Numerical Linear Algebra with Applications, 2018, v. 25, n. 5, article no. e2180 How to Cite?
DOI: http://dx.doi.org/10.1002/nla.2180
AbstractCopyright © 2018 John Wiley & Sons, Ltd. The main objective of this paper is to study an approximation of symmetric tensors by symmetric orthogonal decomposition. We propose and study an iterative algorithm to determine a symmetric orthogonal approximation and analyze the convergence of the proposed algorithm. Numerical examples are reported to demonstrate the effectiveness of the proposed algorithm. We also apply the proposed algorithm to represent correlated face images. We demonstrate better face image reconstruction results by combining principal components and symmetric orthogonal approximation instead of combining principal components and higher-order SVD results.
Persistent Identifierhttp://hdl.handle.net/10722/276590
ISSN
1070-5325
2023 Impact Factor: 1.8
2023 SCImago Journal Rankings: 0.932
ISI Accession Number ID
WOS:000448861300020

 

DC FieldValueLanguage
dc.contributor.authorPan, Junjun-
dc.contributor.authorNg, Michael K.-
dc.date.accessioned2019-09-18T08:34:04Z-
dc.date.available2019-09-18T08:34:04Z-
dc.date.issued2018-
dc.identifier.citationNumerical Linear Algebra with Applications, 2018, v. 25, n. 5, article no. e2180-
dc.identifier.issn1070-5325-
dc.identifier.urihttp://hdl.handle.net/10722/276590-
dc.description.abstractCopyright © 2018 John Wiley & Sons, Ltd. The main objective of this paper is to study an approximation of symmetric tensors by symmetric orthogonal decomposition. We propose and study an iterative algorithm to determine a symmetric orthogonal approximation and analyze the convergence of the proposed algorithm. Numerical examples are reported to demonstrate the effectiveness of the proposed algorithm. We also apply the proposed algorithm to represent correlated face images. We demonstrate better face image reconstruction results by combining principal components and symmetric orthogonal approximation instead of combining principal components and higher-order SVD results.-
dc.languageeng-
dc.relation.ispartofNumerical Linear Algebra with Applications-
dc.subjectsymmetric tensors-
dc.subjectsymmetric orthogonal-
dc.subjectpower method-
dc.subjectpolar decomposition-
dc.subjectcumulant tensors-
dc.subjecttensor decomposition-
dc.titleSymmetric orthogonal approximation to symmetric tensors with applications to image reconstruction-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/nla.2180-
dc.identifier.scopuseid_2-s2.0-85046159042-
dc.identifier.volume25-
dc.identifier.issue5-
dc.identifier.spagearticle no. e2180-
dc.identifier.epagearticle no. e2180-
dc.identifier.eissn1099-1506-
dc.identifier.isiWOS:000448861300020-
dc.identifier.issnl1070-5325-

Export via OAI-PMH Interface in XML Formats

OR

Export to Other Non-XML Formats