Two-sided diagonalization of order-three tensors

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6 Citations (Scopus)

Abstract

This paper presents algorithms for two-sided diagonalization of order-three tensors. It is another expression for joint non-symmetric approximate diagonalization of a set of square ma trices, say T1,..., TM: We seek two non-orthogonal matrices A and B such that the products ATmBT are close to diagonal in a sense. The algorithms can be used for a block tensor decomposition and applied e.g. for tensor deconvolution and feature extraction using the convolutive model.

Original languageEnglish
Title of host publication2015 23rd European Signal Processing Conference, EUSIPCO 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages993-997
Number of pages5
ISBN (Electronic)9780992862633
DOIs
Publication statusPublished - 22 Dec 2015
Externally publishedYes
Event23rd European Signal Processing Conference, EUSIPCO 2015 - Nice, France
Duration: 31 Aug 20154 Sep 2015

Publication series

Name2015 23rd European Signal Processing Conference, EUSIPCO 2015

Conference

Conference23rd European Signal Processing Conference, EUSIPCO 2015
Country/TerritoryFrance
CityNice
Period31/08/154/09/15

Keywords

  • block-term decomposition
  • canonical polyadic de composition
  • joint matrix diagonalization
  • Multilinear models
  • parallel factor analysis

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