About: Approximating Probability Densities by Mixtures of Gaussian Dependence Trees

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Considering the probabilistic approach to practical problems we are increasingly confronted with the need to estimate unknown multivariate probability density functions from large high-dimensional databases produced by electronic devices. The underlying densities are usually strongly multimodal and therefore mixtures of unimodal density functions suggest themselves as a suitable approximation tool. In this respect the product mixture models are preferable because they can be efficiently estimated from data by means of EM algorithm and have some advantageous properties. However, in some cases the simplicity of product components could appear too restrictive and a natural idea is to use a more complex mixture of dependence-tree densities. The dependence tree densities can explicitly describe the statistical relationships between pairs of variables at the level of individual components and therefore the approximation power of the resulting mixture may essentially increase. Considering the probabilistic approach to practical problems we are increasingly confronted with the need to estimate unknown multivariate probability density functions from large high-dimensional databases produced by electronic devices. The underlying densities are usually strongly multimodal and therefore mixtures of unimodal density functions suggest themselves as a suitable approximation tool. In this respect the product mixture models are preferable because they can be efficiently estimated from data by means of EM algorithm and have some advantageous properties. However, in some cases the simplicity of product components could appear too restrictive and a natural idea is to use a more complex mixture of dependence-tree densities. The dependence tree densities can explicitly describe the statistical relationships between pairs of variables at the level of individual components and therefore the approximation power of the resulting mixture may essentially increase. (en)
Title	Approximating Probability Densities by Mixtures of Gaussian Dependence Trees Approximating Probability Densities by Mixtures of Gaussian Dependence Trees (en)
skos:prefLabel	Approximating Probability Densities by Mixtures of Gaussian Dependence Trees Approximating Probability Densities by Mixtures of Gaussian Dependence Trees (en)
skos:notation	RIV/67985556:_____/14:00435901!RIV15-GA0-67985556
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA14-02652S), P(GA14-10911S)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Grim, Jiří
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	3931
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/14:00435901
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Multivariate statistics; Mixtures of dependence trees; EM algorithm; Pattern recognition; Medical image analysis (en)
http://linked.open.../riv/klicoveSlovo	Pattern recognition Multivariate statistics EM algorithm Medical image analysis Mixtures of dependence trees
http://linked.open...ontrolniKodProRIV	[328168F24AF8]
http://linked.open...v/mistoKonaniAkce	Malá Skála
http://linked.open...i/riv/mistoVydani	Praha
http://linked.open...i/riv/nazevZdroje	Stochastic and Physical Monitoring Systems, SPMS 2014
http://linked.open...in/vavai/riv/obor	IN
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Advanced measurement of material appearance Mathematical modeling of surface material appearance
http://linked.open...UplatneniVysledku	2014
http://linked.open...iv/tvurceVysledku	Grim, Jiří
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2014-06-23 (xsd:date)
number of pages	13 (xsd:int)
http://purl.org/ne...btex#hasPublisher	České vysoké učení technické v Praze
https://schema.org/isbn	978-80-01-05616-5

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