About: Speed and accuracy enhancement of linear ICA techniques using rational nonlinear functions

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Mnoho algoritmů pro analýzu nezávislých komponent které jsou založené na minimalizaci nelineárnikontrastní funkce používají hyperbolickou tangentu (tanh) jako svojí vestavěnou nelinearitu. V článku je navrženo nahrazení tanh dvěmi racionálními funkcemi a další racionální funkce jsou navrženy pro separaci supergaussovskych zdrojů, tj. zdrojů jejichž pdf ma těžké chvosty. Výhodou racionálních funkcí je snižení výpočetní složitosti a případně též zlepšení kvality separace, pokud jsou nelinearity vybrány adaptivně ke zpracovávaným datům. (cs) Many linear ICA techniques are based on minimizing a nonlinear contrast function and many of them use a hyperbolic tangent (tanh) as their built-in nonlinearity. In this paper we propose two rational functions to replace the tanh and other popular functions that are tailored for separating supergaussian (long-tailed) sources. The advantage of the rational function is two-fold. First, the rational function requires a significantly lower computational complexity than tanh, e.g. nine times lower. As a result, algorithms using the rational functions are typically twice faster than algorithms with tanh. Second, it can be shown that a suitable selection of the rational function allows to achieve a better performance of the separation in certain scenarios. This improvement might be systematic, if the rational nonlinearities are selected adaptively to data. Many linear ICA techniques are based on minimizing a nonlinear contrast function and many of them use a hyperbolic tangent (tanh) as their built-in nonlinearity. In this paper we propose two rational functions to replace the tanh and other popular functions that are tailored for separating supergaussian (long-tailed) sources. The advantage of the rational function is two-fold. First, the rational function requires a significantly lower computational complexity than tanh, e.g. nine times lower. As a result, algorithms using the rational functions are typically twice faster than algorithms with tanh. Second, it can be shown that a suitable selection of the rational function allows to achieve a better performance of the separation in certain scenarios. This improvement might be systematic, if the rational nonlinearities are selected adaptively to data. (en)
Title	Speed and accuracy enhancement of linear ICA techniques using rational nonlinear functions Zlepšení rychlosti a přesnosti metod analýzy nezávislých komponent pomocí racionálních nelineárních funkcí (cs) Speed and accuracy enhancement of linear ICA techniques using rational nonlinear functions (en)
skos:prefLabel	Speed and accuracy enhancement of linear ICA techniques using rational nonlinear functions Zlepšení rychlosti a přesnosti metod analýzy nezávislých komponent pomocí racionálních nelineárních funkcí (cs) Speed and accuracy enhancement of linear ICA techniques using rational nonlinear functions (en)
skos:notation	RIV/67985556:_____/07:00085697!RIV08-AV0-67985556
http://linked.open.../vavai/riv/strany	285;292
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1M0572), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	4666
http://linked.open...vai/riv/dodaniDat	2008
http://linked.open...aciTvurceVysledku	Tichavský, Petr Koldovský, Zbyněk
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
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	451587
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/07:00085697
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	blind source separation; independent component analysis (en)
http://linked.open.../riv/klicoveSlovo	independent component analysis blind source separation
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[C2C437621E0B]
http://linked.open...i/riv/nazevZdroje	Lecture Notes in Computer Science
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	Data, algorithms, decision making
http://linked.open...UplatneniVysledku	2007
http://linked.open...v/svazekPeriodika	2007
http://linked.open...iv/tvurceVysledku	Koldovský, Zbyněk Tichavský, Petr Oja, E.
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	0302-9743
number of pages	8 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Speed and accuracy enhancement of linear ICA techniques using rational nonlinear functions Speed and accuracy enhancement of linear ICA techniques using rational nonlinear functions Speed and accuracy enhancement of linear ICA techniques using rational nonlinear functions

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