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Electronic Data Center

Journal of Automation and Information Sciences

 

ISSN for PRINT: 1064-2315

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$2573.00

Issues per year:

12

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2006, Volume38

Issue 11

  83 pages  

DOI: 10.1615/J Automat Inf Scien.v38.i11   

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  • Complexity of Bayesian Procedure of Inductive Inference. Discrete Case
  • Boris A. Beletskiy
    V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

    Alexandra A. Vagis
    V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

    Sergey V. Vasilyev
    V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

    Nikita A. Gupal
    National Technical University of Ukraine “Kiev Polytechnical Institute”, Kiev, Ukraine


    ABSTRACT

    Behavior of inductive procedures depending on content of learning sampling is studied. We demonstrate, that if the learning sampling contains no information about some class of objects or statistical information about a priori probabilities of classes, then any procedure works badly and its error is strictly positive. An estimate of error of Bayesian recognition procedure depending on size of learning sampling and other parameters is derived. Suboptimality of Bayesian approach is proved, complexity of class of problems is assessed.

    DOI: 10.1615/J Automat Inf Scien.v38.i11.60

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