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High-Dimensional Approximation by Neural Networks.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F03%3A06030182" target="_blank" >RIV/67985807:_____/03:06030182 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    High-Dimensional Approximation by Neural Networks.

  • Original language description

    Approximation of high-dimensional mappings by neural networsk is investigated in the context of nonlinear approximation theory.It is shown that the 'curse of dimensionality' can be avoided when functions to be approximated have small special norms, whichare tailored to the type of computational units. Properties of such norms and method of derivation of their estimates are described. Estimates of rates of nonlinear approximation are applied to neural network learning formalized as approximate minimization.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F02%2F0428" target="_blank" >GA201/02/0428: Nonlinear approximation with variable basis and neural networks</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2003

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Advances in Learning Theory: Methods, Models and Applications.

  • ISBN

    1-58603-341-7

  • Number of pages of the result

    20

  • Pages from-to

    69-88

  • Number of pages of the book

  • Publisher name

    IOS PRESS

  • Place of publication

    Amsterdam

  • UT code for WoS chapter