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Avtomat. i Telemekh., 2014, Issue 12, Pages 42–55 (Mi at14162)  

This article is cited in 1 scientific paper (total in 1 paper)

Robust and Adaptive Systems

Robust parallel control in a random environment and data processing optimization

A. V. Kolnogorov

Yaroslav-the-Wise State University, Novgorod, Russia

Abstract: Consideration was given to the control of processing large amounts of data, provided that there are two alternative methods of processing with different and a priori unknown efficiencies. It was required to determine the most efficient method and maintain its preferable use. With the use of parallel processing this may be carried out in a relatively small number of steps and actually without losses in the control performance, that is, without increasing the minimax risk. An invariant equation with a solution containing a singularity at $t=0$ was previously obtained to describe the control. This solution was represented as a product with one cofactor being the density of the normal distribution which is singular at $t=0$ and the other, the nonsingular one, the solution to a new equation. Numerical experiments demonstrated that this new equation offers greater possibilities for calculations. In particular, it enabled one to improve the asymptotic estimates of the minimax risk.

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English version:
Automation and Remote Control, 2014, 75:12, 2124–2134

Bibliographic databases:

Presented by the member of Editorial Board: А. В. Назин

Received: 22.08.2012

Citation: A. V. Kolnogorov, “Robust parallel control in a random environment and data processing optimization”, Avtomat. i Telemekh., 2014, no. 12, 42–55; Autom. Remote Control, 75:12 (2014), 2124–2134

Citation in format AMSBIB
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\by A.~V.~Kolnogorov
\paper Robust parallel control in a~random environment and data processing optimization
\jour Avtomat. i Telemekh.
\yr 2014
\issue 12
\pages 42--55
\mathnet{http://mi.mathnet.ru/at14162}
\transl
\jour Autom. Remote Control
\yr 2014
\vol 75
\issue 12
\pages 2124--2134
\crossref{https://doi.org/10.1134/S0005117914120042}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919338016}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Kolnogorov A.V., “Adaptive Normal Two-Armed Bandit and Data Processing Optimization”, IFAC PAPERSONLINE, 49:13 (2016), 241–246  crossref  mathscinet  isi  scopus
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