About: Rates of Minimization of Error Functionals over Boolean Variable-Basis Functions

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Approximate solution of optimization tasks that can be formalized as minimization of error functionals over admissible sets computable by variable-basis functions (i.e., linear combinations of n-tuples of functions from a given basis) is investigated. Estimates of rates of decrease of infima of such functionals over sets formed by linear combinations of increasing number n of elements of the bases are derived, for the case in which such admissible sets consist of Boolean functions. The results are applied to target sets of various types (e.g., sets containing functions representable either by linear combinations of a %22small%22 number of generalized parities or by %22small%22 decision trees and sets satisfying smoothness conditions defined in terms of Sobolev norms). Approximate solution of optimization tasks that can be formalized as minimization of error functionals over admissible sets computable by variable-basis functions (i.e., linear combinations of n-tuples of functions from a given basis) is investigated. Estimates of rates of decrease of infima of such functionals over sets formed by linear combinations of increasing number n of elements of the bases are derived, for the case in which such admissible sets consist of Boolean functions. The results are applied to target sets of various types (e.g., sets containing functions representable either by linear combinations of a %22small%22 number of generalized parities or by %22small%22 decision trees and sets satisfying smoothness conditions defined in terms of Sobolev norms). (en) Přibližná řešení optimalizačních úloh mohou být formalizována jako minimalizace chybových funkcionálů na množinách funkcí s proměnnou bází. Jsou odvozeny odhady rychlosti poklesu infim těchto funkcionálů na množinách lineárních kombinací u booleovských funkcí. (cs)
Title	Rates of Minimization of Error Functionals over Boolean Variable-Basis Functions Rychlost minimalizace chybových funkcionálů na booleovských funkcích s proměnnou bází (cs) Rates of Minimization of Error Functionals over Boolean Variable-Basis Functions (en)
skos:prefLabel	Rates of Minimization of Error Functionals over Boolean Variable-Basis Functions Rychlost minimalizace chybových funkcionálů na booleovských funkcích s proměnnou bází (cs) Rates of Minimization of Error Functionals over Boolean Variable-Basis Functions (en)
skos:notation	RIV/67985807:_____/05:00404820!RIV06-AV0-67985807
http://linked.open.../vavai/riv/strany	355;368
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/02/0428), P(GA201/05/0557), Z(AV0Z10300504)
http://linked.open...iv/cisloPeriodika	4 december
http://linked.open...vai/riv/dodaniDat	2006
http://linked.open...aciTvurceVysledku	Kůrková, Věra
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 informatiky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	540055
http://linked.open...ai/riv/idVysledku	RIV/67985807:_____/05:00404820
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	high-dimensional optimization; minimizing sequences; Boolean decision functions; decision tree (en)
http://linked.open.../riv/klicoveSlovo	high-dimensional optimization Boolean decision functions minimizing sequences decision tree
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[5CEF1A8BEB15]
http://linked.open...i/riv/nazevZdroje	Journal of Mathematical Modelling and Algorithms
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Nonlinear approximation with variable basis and neural networks Approximation and learning of multivariable functions by neural networks and kernel methods
http://linked.open...UplatneniVysledku	2005
http://linked.open...v/svazekPeriodika	4
http://linked.open...iv/tvurceVysledku	Kůrková, Věra Sanguineti, M. Kainen, P. C.
http://linked.open...n/vavai/riv/zamer	Informatika pro informační společnost: modely, algoritmy, aplikace
issn	1570-1166
number of pages	14 (xsd:int)

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