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Prikladnaya Diskretnaya Matematika, 2010, Number 4(10), Pages 41–54 (Mi pdm253)  

This article is cited in 3 scientific papers (total in 3 papers)

Applied Automata Theory

Multi-parametric classification of automaton Markov models based on the sequences they generate

A. R. Nurutdinova, S. V. Shalagin

Tupolev Kazan State Technical University, Kazan, Russia
Full-text PDF (583 kB) Citations (3)
References:
Abstract: This article is devoted to multi-parametric classification of automaton Markov models (AMMs) on the base of output sequences with the use of discriminant analysis. The AMMs under consideration are specified by means of stochastic matrices belonging to subclasses defined a priori. A set of claasification features is introduced to distinguish AMMs specified by matrices from different subclasses. The features are related to the frequency characteristics of sequences generated by AMMs. A method is suggested for determining the minimal length of the sequence need to calculate the features with a required accuracy.
Keywords: Markov chain, ergodic stochastic matrix, identification, automaton Markov model, discriminant analysis, linear discriminant functions.
Bibliographic databases:
Document Type: Article
UDC: 519.217
Language: Russian
Citation: A. R. Nurutdinova, S. V. Shalagin, “Multi-parametric classification of automaton Markov models based on the sequences they generate”, Prikl. Diskr. Mat., 2010, no. 4(10), 41–54
Citation in format AMSBIB
\Bibitem{NurSha10}
\by A.~R.~Nurutdinova, S.~V.~Shalagin
\paper Multi-parametric classification of automaton Markov models based on the sequences they generate
\jour Prikl. Diskr. Mat.
\yr 2010
\issue 4(10)
\pages 41--54
\mathnet{http://mi.mathnet.ru/pdm253}
\elib{https://elibrary.ru/item.asp?id=15583261}
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  • https://www.mathnet.ru/eng/pdm253
  • https://www.mathnet.ru/eng/pdm/y2010/i4/p41
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Прикладная дискретная математика
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    Abstract page:225
    Full-text PDF :69
    References:27
    First page:1
     
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