About: Optimal factorization of three-way binary data

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We study the problem of factor analysis of three-way binary data, i.e. data described by a 3-dimensional binary matrix I, describing a relationship between objects, attributes, and conditions. The problem consists in finding a decomposition of I into three binary matrices, an object-factor matrix A, an attribute-factor matrix B, and a condition-factor matrix C, with the number of factors as small as possible. The scenario is similar to that of decomposition-based methods of analysis of three-way data but the difference consists in the composition operator and the constraint on A, B, and C to be binary. We present a theoretical analysis of the decompositions and show that optimal factors for such decompositions are provided by triadic concepts developed in formal concept analysis. Moreover, we present an illustrative example, propose a greedy approximation algorithm for computing the decompositions and present its experimental evaluation. We study the problem of factor analysis of three-way binary data, i.e. data described by a 3-dimensional binary matrix I, describing a relationship between objects, attributes, and conditions. The problem consists in finding a decomposition of I into three binary matrices, an object-factor matrix A, an attribute-factor matrix B, and a condition-factor matrix C, with the number of factors as small as possible. The scenario is similar to that of decomposition-based methods of analysis of three-way data but the difference consists in the composition operator and the constraint on A, B, and C to be binary. We present a theoretical analysis of the decompositions and show that optimal factors for such decompositions are provided by triadic concepts developed in formal concept analysis. Moreover, we present an illustrative example, propose a greedy approximation algorithm for computing the decompositions and present its experimental evaluation. (en)
Title	Optimal factorization of three-way binary data Optimal factorization of three-way binary data (en)
skos:prefLabel	Optimal factorization of three-way binary data Optimal factorization of three-way binary data (en)
skos:notation	RIV/61989592:15310/10:10216610!RIV11-GA0-15310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GAP202/10/0262), Z(MSM6198959214)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Vychodil, Vilém Bělohlávek, Radim
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	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	277212
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/10:10216610
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	triadic concept, optimal factorization; three-way data; formal concept analysis (en)
http://linked.open.../riv/klicoveSlovo	formal concept analysis three-way data triadic concept optimal factorization
http://linked.open...ontrolniKodProRIV	[6ED703D6C8AE]
http://linked.open...v/mistoKonaniAkce	Silicon Valey, USA
http://linked.open...i/riv/mistoVydani	Los Alamitos
http://linked.open...i/riv/nazevZdroje	Proceedings of 2010 IEEE International Conference on Granular Computing
http://linked.open...in/vavai/riv/obor	IN
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Decompositions of matrices with binary and ordinal data: theory, algorithms, and complexity
http://linked.open...UplatneniVysledku	2010
http://linked.open...iv/tvurceVysledku	BĚLOHLÁVEK, Radim VYCHODIL, Vilém
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2010-08-14 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Matematické modely a struktury
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	IEEE Computer Society Press
https://schema.org/isbn	978-0-7695-4161-7
http://localhost/t...ganizacniJednotka	15310
is http://linked.open...avai/riv/vysledek of	Optimal factorization of three-way binary data Optimal factorization of three-way binary data Optimal factorization of three-way binary data

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