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An Integral Upper Bound for Neural Network Approximation

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    0328415 - ÚI 2010 RIV US eng J - Journal Article
    Kainen, P.C. - Kůrková, Věra
    An Integral Upper Bound for Neural Network Approximation.
    [Integrální horní odhad pro aproximaci neuronovými sítěmi.]
    Neural Computation. Roč. 21, č. 10 (2009), s. 2970-2989. ISSN 0899-7667. E-ISSN 1530-888X
    R&D Projects: GA MŠMT(CZ) 1M0567
    Institutional research plan: CEZ:AV0Z10300504
    Keywords : model complexity of neural networks * Bochner integral
    Subject RIV: IN - Informatics, Computer Science
    Impact factor: 2.175, year: 2009

    For functions with suitable integral representations in the form of networks with infinitely many hidden units, upper bounds are derived on the speed of decrease of approximation error as the number of network units increases. These bounds are obtained using the framework of Bochner.

    Pro funkce s vhodnými integrálními reprezentacemi ve tvaru sítí s nekonečně mnoha jednotkami jsou odvozeny odhady rychlosti aproximace neuronovými sítěmi s rostoucím počtem jednotek. Odhady jsou odvozeny pomocí metod Bochnerova integrálu.
    Permanent Link: http://hdl.handle.net/11104/0174736

     
     
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