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On adaptive estimators in statistical learning theory

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Abstract

We study the problem of reconstructing an unknown function from a bounded set of its values given with random errors at random points. The function is assumed to belong to a function class from a certain family.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119991, Russia

    S. V. Konyagin & E. D. Livshits

  2. Steklov Institute of Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia

    S. V. Konyagin

Authors
  1. S. V. Konyagin
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  2. E. D. Livshits
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Additional information

Original Russian Text © S.V. Konyagin, E.D. Livshits, 2008, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Vol. 260, pp. 193–201.

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Konyagin, S.V., Livshits, E.D. On adaptive estimators in statistical learning theory. Proc. Steklov Inst. Math. 260, 185–193 (2008). https://doi.org/10.1134/S0081543808010136

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  • DOI: https://doi.org/10.1134/S0081543808010136

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