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Multivariable Approximation by Convolutional Kernel Networks

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00462912" target="_blank" >RIV/67985807:_____/16:00462912 - isvavai.cz</a>

  • Result on the web

    <a href="http://ceur-ws.org/Vol-1649/118.pdf" target="_blank" >http://ceur-ws.org/Vol-1649/118.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Multivariable Approximation by Convolutional Kernel Networks

  • Original language description

    Computational units induced by convolutional kernels together with biologically inspired perceptrons belong to the most widespread types of units used in neurocomputing. Radial convolutional kernels with varying widths form RBF (radial-basis-function) networks and these kernels with fixed widths are used in the SVM (support vector machine) algorithm. We investigate suitability of various convolutional kernel units for function approximation. We show that properties of Fourier transforms of convolutional kernels determine whether sets of input-output functions of networks with kernel units are large enough to be universal approximators. We compare these properties with conditions guaranteeing positive semidefinitness of convolutional kernels.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA15-18108S" target="_blank" >GA15-18108S: Model complexity of neural, radial, and kernel networks</a><br>

  • 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

    Proceedings ITAT 2016: Information Technologies - Applications and Theory

  • ISBN

    978-1-5370-1674-0

  • ISSN

    1613-0073

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

    118-122

  • Publisher name

    Technical University & CreateSpace Independent Publishing Platform

  • Place of publication

    Aachen & Charleston

  • Event location

    Tatranské Matliare

  • Event date

    Sep 15, 2016

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article