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Approximate Minimization of the Regularized Expected Error over Kernel Models

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F08%3A00043647" target="_blank" >RIV/67985807:_____/08:00043647 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Approximate Minimization of the Regularized Expected Error over Kernel Models

  • Original language description

    Learning from data under constraints on model complexity is studied in terms of rates of approximate minimization of the regularized expected error functional. For kernel models with an increasing number n of kernel functions, upper bounds on such ratesare derived. The bounds are of the form a/n+b/sqrt(n], where a and b depend on the regularization parameter and on properties of the kernel, and of the probability measure defining the expected error. As a special case, estimates of rates of approximateminimization of the regularized empirical error are derived.

  • Czech name

    Přibližná minimalizace regularizovaného funkcionálu očekávané chyby na jádrových modelech

  • Czech description

    Učení na základě dat s omezením modelové složitosti je studováno pomocí rychlosti přibližné minimalizace regularizovaného funkcionálu očekávané chyby. Pro jádrové modely s rostoucím počtem n jádrových funkcí jsou odvozeny horní odhady této rychlosti.

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematics of Operations Research

  • ISSN

    0364-765X

  • e-ISSN

  • Volume of the periodical

    33

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    10

  • Pages from-to

  • UT code for WoS article

    000258881200013

  • EID of the result in the Scopus database