Bounds for Approximate Solutions of Fredholm Integral Equations Using Kernel Networks
Result description
Approximation of solutions of integral equations by networks with kernel units is investigated theoretically. There are derived upper bounds on speed of decrease of errors in approximation of solutions of Fredholm integral equations by kernel networks with increasing numbers of units. The estimates are obtained for Gaussian and degenerate kernels.
Keywords
radial and kernel networksapproximation of solutions of integral equations by kernel networksmodel complexity
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Bounds for Approximate Solutions of Fredholm Integral Equations Using Kernel Networks
Original language description
Approximation of solutions of integral equations by networks with kernel units is investigated theoretically. There are derived upper bounds on speed of decrease of errors in approximation of solutions of Fredholm integral equations by kernel networks with increasing numbers of units. The estimates are obtained for Gaussian and degenerate kernels.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
IN - Informatics
OECD FORD branch
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Result continuities
Project
GAP202/11/1368: Learning of functional relationships from high-dimensional data
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Artificial Neural Networks ? ICANN 2011
ISBN
978-3-642-21734-0
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
126-133
Publisher name
Springer
Place of publication
Berlin
Event location
Espoo
Event date
Jul 14, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000296364500016
Basic information
Result type
D - Article in proceedings
CEP
IN - Informatics
Year of implementation
2011