Počet záznamů: 1
Comparing Fixed and Variable-Width Gaussian Networks
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SYSNO ASEP 0428366 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Comparing Fixed and Variable-Width Gaussian Networks Tvůrce(i) Kůrková, Věra (UIVT-O) RID, SAI, ORCID
Kainen, P.C. (US)Zdroj.dok. Neural Networks. - : Elsevier - ISSN 0893-6080
Roč. 57, September (2014), s. 23-28Poč.str. 6 s. Jazyk dok. eng - angličtina Země vyd. GB - Velká Británie Klíč. slova Gaussian radial and kernel networks ; Functionally equivalent networks ; Universal approximators ; Stabilizers defined by Gaussian kernels ; Argminima of error functionals Vědní obor RIV IN - Informatika CEP LD13002 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy Institucionální podpora UIVT-O - RVO:67985807 UT WOS 000340319400003 EID SCOPUS 84901602323 DOI 10.1016/j.neunet.2014.05.005 Anotace The role of width of Gaussians in two types of computational models is investigated: Gaussian radial basis- functions (RBFs) where both widths and centers vary and Gaussian kernel networks which have fixed widths but varying centers. The effect of width on functional equivalence, universal approximation property, and form of norms in reproducing kernel Hilbert spaces (RKHSs)is explored. It is proven that if two Gaussian RBF networks have the same input–output functions, then they must have the same numbers of units with the same centers and widths. Further, it is shown that while sets of input–output functions of Gaussian kernel networks with two different widths are disjoint, each such set is large enough to be a universal approximator. Embedding of RKHSs induced by ‘‘flatter’’ Gaussians into RKHSs induced by ‘‘sharper’’ Gaussians is described and growth of the ratios of norms on these spaces with increasing input dimension is estimated. Finally, large sets of argminima of error functionals in sets of input–output functions of Gaussian RBFs are described. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2015
Počet záznamů: 1