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Gaussian Radial and Kernel Networks with Varying and Fixed Widths

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    0389193 - ÚI 2013 RIV CZ eng C - Conference Paper (international conference)
    Kůrková, Věra
    Gaussian Radial and Kernel Networks with Varying and Fixed Widths.
    SOFSEM 2013: Theory and Practice of Computer Science. Vol. 2. Prague: Institute of Computer Science AS CR, 2013 - (van Emde Boas, P.; Groen, F.; Italiano, G.; Nawrocki, J.; Sack, H.), s. 95-102. ISBN 978-80-87136-15-7.
    [SOFSEM 2013. Conference on Current Trends in Theory and Practice of Computer Science /39./. Špindlerův Mlýn (CZ), 26.01.2013-31.01.2013]
    R&D Projects: GA ČR GAP202/11/1368
    Institutional support: RVO:67985807
    Keywords : Gaussian radial and kernel networks * functionally equivalent networks * universal approximators * stabilizers defined by Gaussian kernels
    Subject RIV: IN - Informatics, Computer Science

    The role of widths of Gaussians in computational models which they generate is investigated. Suitability of Gaussian kernel models with fixed widths for regression is proven in terms of their universal approximation capability. Large sets of argminima of error functionals minimized during learning from data over Gaussian networks with varying widths are described. Dependence of stabilizers modelling generalization on widths of Gaussian kernels and the input dimension is estimated.
    Permanent Link: http://hdl.handle.net/11104/0218073

     
     
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