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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 193–201 (Mi tm594)  
This article is cited in 2 scientific papers (total in 2 papers)

On Adaptive Estimators in Statistical Learning Theory

S. V. Konyagina, E. D. Livshits

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (186 kB) Citations (2)
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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.
Received in September 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 185–193
DOI: https://doi.org/10.1134/S0081543808010136
Bibliographic databases:
Document Type: Article
UDC: 517.518.2+519.234.2
Language: Russian
Citation: S. V. Konyagin, E. D. Livshits, “On Adaptive Estimators in Statistical Learning Theory”, Function theory and nonlinear partial differential equations, Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 260, MAIK Nauka/Interperiodica, Moscow, 2008, 193–201; Proc. Steklov Inst. Math., 260 (2008), 185–193
Citation in format AMSBIB
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\paper On Adaptive Estimators in Statistical Learning Theory
\inbook Function theory and nonlinear partial differential equations
\bookinfo Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday
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\vol 260
\pages 193--201
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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Linking options:
  • https://www.mathnet.ru/eng/tm594
  • https://www.mathnet.ru/eng/tm/v260/p193
    • This publication is cited in the following 2 articles:
    1. Darkhovskiy B., “Non Asymptotic Minimax Estimation of Functionals with Noisy Observations”, Communications in Statistics-Simulation and Computation, 41:6, Part 1 Sp. Iss. SI (2012), 787–803  crossref  mathscinet  zmath  isi  scopus
    2. Yu. V. Malykhin, “Upper Bounds for Errors of Estimators in a Problem of Nonparametric Regression: The Adaptive Case and the Case of Unknown Measure $\rho_X$”, Math. Notes, 86:5 (2009), 682–689  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Abstract page:495
    Full-text PDF :79
    References:90
    First page:13
     
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