FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2113990981> ?p ?o ?g. }

• W2113990981 endingPage "270" @default.
• W2113990981 startingPage "252" @default.
• W2113990981 abstract "Supervised learning of perceptron networks is investigated as an optimization problem. It is shown that both the theoretical and the empirical error functionals achieve minima over sets of functions computable by networks with a given number n of perceptrons. Upper bounds on rates of convergence of these minima with n increasing are derived. The bounds depend on a certain regularity of training data expressed in terms of variational norms of functions interpolating the data (in the case of the empirical error) and the regression function (in the case of the expected error). Dependence of this type of regularity on dimensionality and on magnitudes of partial derivatives is investigated. Conditions on the data, which guarantee that a good approximation of global minima of error functionals can be achieved using networks with a limited complexity, are derived. The conditions are in terms of oscillatory behavior of the data measured by the product of a function of the number of variables d, which is decreasing exponentially fast, and the maximum of the magnitudes of the squares of the L(1)-norms of the iterated partial derivatives of the order d of the regression function or some function, which interpolates the sample of the data. The results are illustrated by examples of data with small and high regularity constructed using Boolean functions and the gaussian function." @default.
• W2113990981 created "2016-06-24" @default.
• W2113990981 creator A5041761117 @default.
• W2113990981 date "2008-01-01" @default.
• W2113990981 modified "2023-10-13" @default.
• W2113990981 title "Minimization of Error Functionals over Perceptron Networks" @default.
• W2113990981 cites W1992282307 @default.
• W2113990981 cites W1993349006 @default.
• W2113990981 cites W2010261079 @default.
• W2113990981 cites W2011784318 @default.
• W2113990981 cites W2026307262 @default.
• W2113990981 cites W2027625319 @default.
• W2113990981 cites W2034551836 @default.
• W2113990981 cites W2038716941 @default.
• W2113990981 cites W2044060158 @default.
• W2113990981 cites W2044828368 @default.
• W2113990981 cites W2047278710 @default.
• W2113990981 cites W2051968241 @default.
• W2113990981 cites W2052100548 @default.
• W2113990981 cites W2064381290 @default.
• W2113990981 cites W2103496339 @default.
• W2113990981 cites W2137983211 @default.
• W2113990981 cites W2151933547 @default.
• W2113990981 cites W2166116275 @default.
• W2113990981 cites W3125537303 @default.
• W2113990981 doi "https://doi.org/10.1162/neco.2008.20.1.252" @default.
• W2113990981 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/18045008" @default.
• W2113990981 hasPublicationYear "2008" @default.
• W2113990981 type Work @default.
• W2113990981 sameAs 2113990981 @default.
• W2113990981 citedByCount "17" @default.
• W2113990981 countsByYear W21139909812012 @default.
• W2113990981 countsByYear W21139909812013 @default.
• W2113990981 countsByYear W21139909812014 @default.
• W2113990981 countsByYear W21139909812016 @default.
• W2113990981 countsByYear W21139909812017 @default.
• W2113990981 countsByYear W21139909812019 @default.
• W2113990981 countsByYear W21139909812022 @default.
• W2113990981 countsByYear W21139909812023 @default.
• W2113990981 crossrefType "journal-article" @default.
• W2113990981 hasAuthorship W2113990981A5041761117 @default.
• W2113990981 hasConcept C105795698 @default.
• W2113990981 hasConcept C111030470 @default.
• W2113990981 hasConcept C11413529 @default.
• W2113990981 hasConcept C126255220 @default.
• W2113990981 hasConcept C134306372 @default.
• W2113990981 hasConcept C14036430 @default.
• W2113990981 hasConcept C140479938 @default.
• W2113990981 hasConcept C154945302 @default.
• W2113990981 hasConcept C162324750 @default.
• W2113990981 hasConcept C186633575 @default.
• W2113990981 hasConcept C202286095 @default.
• W2113990981 hasConcept C2777303404 @default.
• W2113990981 hasConcept C28826006 @default.
• W2113990981 hasConcept C33923547 @default.
• W2113990981 hasConcept C41008148 @default.
• W2113990981 hasConcept C50522688 @default.
• W2113990981 hasConcept C50644808 @default.
• W2113990981 hasConcept C60908668 @default.
• W2113990981 hasConcept C78458016 @default.
• W2113990981 hasConcept C86803240 @default.
• W2113990981 hasConcept C91873725 @default.
• W2113990981 hasConceptScore W2113990981C105795698 @default.
• W2113990981 hasConceptScore W2113990981C111030470 @default.
• W2113990981 hasConceptScore W2113990981C11413529 @default.
• W2113990981 hasConceptScore W2113990981C126255220 @default.
• W2113990981 hasConceptScore W2113990981C134306372 @default.
• W2113990981 hasConceptScore W2113990981C14036430 @default.
• W2113990981 hasConceptScore W2113990981C140479938 @default.
• W2113990981 hasConceptScore W2113990981C154945302 @default.
• W2113990981 hasConceptScore W2113990981C162324750 @default.
• W2113990981 hasConceptScore W2113990981C186633575 @default.
• W2113990981 hasConceptScore W2113990981C202286095 @default.
• W2113990981 hasConceptScore W2113990981C2777303404 @default.
• W2113990981 hasConceptScore W2113990981C28826006 @default.
• W2113990981 hasConceptScore W2113990981C33923547 @default.
• W2113990981 hasConceptScore W2113990981C41008148 @default.
• W2113990981 hasConceptScore W2113990981C50522688 @default.
• W2113990981 hasConceptScore W2113990981C50644808 @default.
• W2113990981 hasConceptScore W2113990981C60908668 @default.
• W2113990981 hasConceptScore W2113990981C78458016 @default.
• W2113990981 hasConceptScore W2113990981C86803240 @default.
• W2113990981 hasConceptScore W2113990981C91873725 @default.
• W2113990981 hasIssue "1" @default.
• W2113990981 hasLocation W21139909811 @default.
• W2113990981 hasLocation W21139909812 @default.
• W2113990981 hasOpenAccess W2113990981 @default.
• W2113990981 hasPrimaryLocation W21139909811 @default.
• W2113990981 hasRelatedWork W1567571245 @default.
• W2113990981 hasRelatedWork W2001264248 @default.
• W2113990981 hasRelatedWork W2082482750 @default.
• W2113990981 hasRelatedWork W2108861020 @default.
• W2113990981 hasRelatedWork W2113990981 @default.
• W2113990981 hasRelatedWork W2349436282 @default.
• W2113990981 hasRelatedWork W2355070670 @default.
• W2113990981 hasRelatedWork W2375331795 @default.
• W2113990981 hasRelatedWork W4320074285 @default.
• W2113990981 hasRelatedWork W4321854672 @default.

• next