Kernel Networks for Function Approximation
Result description
Capabilities of radial convolution kernel networks to approximate multivariate functions are investigated. A necessary condition for universal approximation property of convolution kernel networks is given. Kernels that satisfy the condition in arbitrary dimension are investigated in terms of their Hankel and Fourier transforms. A computational example is presented to assess approximation capabilities of different convolution kernel networks.
Keywords
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
Kernel Networks for Function Approximation
Original language description
Capabilities of radial convolution kernel networks to approximate multivariate functions are investigated. A necessary condition for universal approximation property of convolution kernel networks is given. Kernels that satisfy the condition in arbitrary dimension are investigated in terms of their Hankel and Fourier transforms. A computational example is presented to assess approximation capabilities of different convolution kernel networks.
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
LD13002: Modeling of complex systems for softcomputing methods
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Engineering Applications of Neural Networks
ISBN
978-3-319-44187-0
ISSN
1865-0929
e-ISSN
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Number of pages
12
Pages from-to
295-306
Publisher name
Springer
Place of publication
Cham
Event location
Aberdeen
Event date
Sep 2, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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Result type
D - Article in proceedings
CEP
IN - Informatics
Year of implementation
2016