Matches in SemOpenAlex for { <https://semopenalex.org/work/W2054324314> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2054324314 endingPage "220" @default.
- W2054324314 startingPage "197" @default.
- W2054324314 abstract "The paper analyzes the boundedness of the coefficients involved in Gaussian expansion series. These series arise from the reconstruction of bandlimited functions, applying the sampling theorem with Gaussians as reconstruction filters. The boundedness of the ideal coefficients is a previous requirement that should be imposed to the approximation function. This is due to the fact that the coefficient sequence should be absolutely summable. With this sort of requirements, the targeted function is guaranteed to exhibit finite energy so that it will be manageable from the viewpoint of the approximation theory. On the other hand, the bounds of the coefficients affect considerably to the approximation errors and consequently to the accuracy of the estimation. The major result of this work is formalized in a series of propositions where it is stated how the coefficients are upper bounded by a signal “sinus cardinalis” (sinc). Finally, an energy measure of the approximation error is determined as a mean square error. In this line, a number of results are presented in both the univariate and the multivariate case showing how these errors strongly depend on the coefficients in the Gaussian expansion." @default.
- W2054324314 created "2016-06-24" @default.
- W2054324314 creator A5091656081 @default.
- W2054324314 date "2007-12-01" @default.
- W2054324314 modified "2023-10-01" @default.
- W2054324314 title "Boundedness of the nominal coefficients in Gaussian RBF neural networks" @default.
- W2054324314 cites W1494912895 @default.
- W2054324314 cites W1517236425 @default.
- W2054324314 cites W1550331971 @default.
- W2054324314 cites W1582858917 @default.
- W2054324314 cites W1658679052 @default.
- W2054324314 cites W1969705022 @default.
- W2054324314 cites W2021144192 @default.
- W2054324314 cites W2026972764 @default.
- W2054324314 cites W2028783611 @default.
- W2054324314 cites W2062024414 @default.
- W2054324314 cites W2065923787 @default.
- W2054324314 cites W2088409084 @default.
- W2054324314 cites W2094538992 @default.
- W2054324314 cites W2143956139 @default.
- W2054324314 cites W2145849864 @default.
- W2054324314 cites W2150535417 @default.
- W2054324314 cites W2158814158 @default.
- W2054324314 cites W2166500461 @default.
- W2054324314 cites W2171277043 @default.
- W2054324314 cites W2542498933 @default.
- W2054324314 cites W2801179766 @default.
- W2054324314 cites W3104471247 @default.
- W2054324314 doi "https://doi.org/10.1016/j.neucom.2007.01.011" @default.
- W2054324314 hasPublicationYear "2007" @default.
- W2054324314 type Work @default.
- W2054324314 sameAs 2054324314 @default.
- W2054324314 citedByCount "9" @default.
- W2054324314 countsByYear W20543243142012 @default.
- W2054324314 countsByYear W20543243142015 @default.
- W2054324314 crossrefType "journal-article" @default.
- W2054324314 hasAuthorship W2054324314A5091656081 @default.
- W2054324314 hasConcept C105795698 @default.
- W2054324314 hasConcept C121332964 @default.
- W2054324314 hasConcept C122383733 @default.
- W2054324314 hasConcept C134306372 @default.
- W2054324314 hasConcept C143724316 @default.
- W2054324314 hasConcept C151730666 @default.
- W2054324314 hasConcept C152303783 @default.
- W2054324314 hasConcept C154945302 @default.
- W2054324314 hasConcept C161584116 @default.
- W2054324314 hasConcept C163716315 @default.
- W2054324314 hasConcept C199163554 @default.
- W2054324314 hasConcept C28826006 @default.
- W2054324314 hasConcept C33923547 @default.
- W2054324314 hasConcept C34388435 @default.
- W2054324314 hasConcept C41008148 @default.
- W2054324314 hasConcept C50644808 @default.
- W2054324314 hasConcept C62520636 @default.
- W2054324314 hasConcept C86803240 @default.
- W2054324314 hasConcept C91873725 @default.
- W2054324314 hasConceptScore W2054324314C105795698 @default.
- W2054324314 hasConceptScore W2054324314C121332964 @default.
- W2054324314 hasConceptScore W2054324314C122383733 @default.
- W2054324314 hasConceptScore W2054324314C134306372 @default.
- W2054324314 hasConceptScore W2054324314C143724316 @default.
- W2054324314 hasConceptScore W2054324314C151730666 @default.
- W2054324314 hasConceptScore W2054324314C152303783 @default.
- W2054324314 hasConceptScore W2054324314C154945302 @default.
- W2054324314 hasConceptScore W2054324314C161584116 @default.
- W2054324314 hasConceptScore W2054324314C163716315 @default.
- W2054324314 hasConceptScore W2054324314C199163554 @default.
- W2054324314 hasConceptScore W2054324314C28826006 @default.
- W2054324314 hasConceptScore W2054324314C33923547 @default.
- W2054324314 hasConceptScore W2054324314C34388435 @default.
- W2054324314 hasConceptScore W2054324314C41008148 @default.
- W2054324314 hasConceptScore W2054324314C50644808 @default.
- W2054324314 hasConceptScore W2054324314C62520636 @default.
- W2054324314 hasConceptScore W2054324314C86803240 @default.
- W2054324314 hasConceptScore W2054324314C91873725 @default.
- W2054324314 hasIssue "1-3" @default.
- W2054324314 hasLocation W20543243141 @default.
- W2054324314 hasOpenAccess W2054324314 @default.
- W2054324314 hasPrimaryLocation W20543243141 @default.
- W2054324314 hasRelatedWork W1542971759 @default.
- W2054324314 hasRelatedWork W2038964751 @default.
- W2054324314 hasRelatedWork W2047048571 @default.
- W2054324314 hasRelatedWork W2108269367 @default.
- W2054324314 hasRelatedWork W2355070670 @default.
- W2054324314 hasRelatedWork W2806092770 @default.
- W2054324314 hasRelatedWork W2953159110 @default.
- W2054324314 hasRelatedWork W3146626003 @default.
- W2054324314 hasRelatedWork W4287782477 @default.
- W2054324314 hasRelatedWork W4310562558 @default.
- W2054324314 hasVolume "71" @default.
- W2054324314 isParatext "false" @default.
- W2054324314 isRetracted "false" @default.
- W2054324314 magId "2054324314" @default.
- W2054324314 workType "article" @default.