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Avtomatika i Telemekhanika, 2018, Issue 9, Pages 46–58 (Mi at15204)  

This article is cited in 4 scientific papers (total in 4 papers)

Stochastic Systems

Estimating the probability of a class at a point by the approximation of one discriminant function

V. V. Zenkov

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (605 kB) Citations (4)
References:
Abstract: We propose a method for estimating the posterior probability of a class at a given point by approximating a discriminant function that takes a zero value at this point. The approximation is based on a supervised training set. Posterior probabilities of classes allow the classification problem to be solved simultaneously for different criteria and different costs of classification errors. The method is based on choosing such a ratio of the costs of classification errors in the construction of an approximation to the discriminant function that the approximation takes the zero value at a given point. We give a model example and an example with real data from the field of medical diagnostics.
Keywords: machine learning, classification, evaluating posterior probability of a class, approximation of a discriminant function, disease diagnostics.
Presented by the member of Editorial Board: A. I. Mikhal'skii

Received: 01.06.2017
English version:
Automation and Remote Control, 2018, Volume 79, Issue 9, Pages 1582–1592
DOI: https://doi.org/10.1134/S0005117918090047
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Zenkov, “Estimating the probability of a class at a point by the approximation of one discriminant function”, Avtomat. i Telemekh., 2018, no. 9, 46–58; Autom. Remote Control, 79:9 (2018), 1582–1592
Citation in format AMSBIB
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\by V.~V.~Zenkov
\paper Estimating the probability of a class at a point by the approximation of one discriminant function
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\issue 9
\pages 46--58
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\transl
\jour Autom. Remote Control
\yr 2018
\vol 79
\issue 9
\pages 1582--1592
\crossref{https://doi.org/10.1134/S0005117918090047}
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Linking options:
  • https://www.mathnet.ru/eng/at15204
  • https://www.mathnet.ru/eng/at/y2018/i9/p46
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:211
    Full-text PDF :127
    References:28
    First page:10
     
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