About: On Computation of Approximate Joint Block-Diagonalization Using Ordinary AJD

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Approximate joint block diagonalization (AJBD) of a set of matrices has applications in blind source separation, e.g., when the signal mixtures contain mutually independent subspaces of dimension higher than one. The main message of this paper is that certain ordinary approximate joint diagonalization (AJD) methods can also be used successfully for AJBD, but not all are suitable equally well. In particular, we prove that when the set is exactly jointly block-diagonalizable, perfect block-diagonalization is attainable by the recently proposed AJD algorithm “U-WEDGE%22 (uniformly weighted exhaustive diagonalization with Gaussian iteration) - but this basic consistency property is not shared by some other popular AJD algorithms. In addition, we show using simulation, that in the more general noisy case, the subspace identification accuracy of U-WEDGE compares favorably to competitors. Approximate joint block diagonalization (AJBD) of a set of matrices has applications in blind source separation, e.g., when the signal mixtures contain mutually independent subspaces of dimension higher than one. The main message of this paper is that certain ordinary approximate joint diagonalization (AJD) methods can also be used successfully for AJBD, but not all are suitable equally well. In particular, we prove that when the set is exactly jointly block-diagonalizable, perfect block-diagonalization is attainable by the recently proposed AJD algorithm “U-WEDGE%22 (uniformly weighted exhaustive diagonalization with Gaussian iteration) - but this basic consistency property is not shared by some other popular AJD algorithms. In addition, we show using simulation, that in the more general noisy case, the subspace identification accuracy of U-WEDGE compares favorably to competitors. (en)
Title	On Computation of Approximate Joint Block-Diagonalization Using Ordinary AJD On Computation of Approximate Joint Block-Diagonalization Using Ordinary AJD (en)
skos:prefLabel	On Computation of Approximate Joint Block-Diagonalization Using Ordinary AJD On Computation of Approximate Joint Block-Diagonalization Using Ordinary AJD (en)
skos:notation	RIV/67985556:_____/12:00376329!RIV13-MSM-67985556
http://linked.open...avai/predkladatel	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(1M0572), P(GA102/09/1278)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Tichavský, Petr Koldovský, Zbyněk
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	156198
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/12:00376329
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	joint block diagonalization; independent subspace analysis (en)
http://linked.open.../riv/klicoveSlovo	independent subspace analysis joint block diagonalization
http://linked.open...ontrolniKodProRIV	[821E5AF8EB63]
http://linked.open...v/mistoKonaniAkce	Tel Aviv
http://linked.open...i/riv/mistoVydani	Heidelberg
http://linked.open...i/riv/nazevZdroje	Latent Variable Analysis and Signal Separation
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Advanced methods of blind source separation and blind deconvolution Data, algorithms, decision making
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Koldovský, Zbyněk Tichavský, Petr Yeredor, A.
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2012-03-12 (xsd:date)
number of pages	9 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-3-642-28551-6_21
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-642-28550-9
is http://linked.open...avai/riv/vysledek of	On Computation of Approximate Joint Block-Diagonalization Using Ordinary AJD

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