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Article information
2008 , Volume 13, ¹ 6, p.28-39
Berikov V.B.
Estimations of misclassification probability in Bayes logical-and-probabilistic model of pattern recognition
In this paper, we consider Bayes logical-and-probabilistic model of pattern recognition on a finite set of events, where event is defined as an assignment of some values from a subregion of the partition space described by a logical statement, to the given heterogeneous variables. Using this model, we found an expression for the expected probability of errors for the optimal Bayes decision function, obtain a posteriori estimations of the classifications probability for a given sample. These estimations are used for a construction and studying of the logical decision function.
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Keywords: pattern recognition, Bayes model, estimations of misclassification probability, logical decision functions
Author(s):
Berikov Vladimir Borisovich
Dr. , Associate Professor
Position: General Scientist
Office: Sobolev Institute of mathematics Siberian Branch of Russian Academy of Science
Address: 630090, Russia, Novosibirsk, 4, Acad. Koptyug Avenue
Phone Office: (383) 3333291
E-mail: berikov@math.nsc.ru
SPIN-code: 8108-2591
Bibliography link:
Berikov V.B. Estimations of misclassification probability in Bayes logical-and-probabilistic model of pattern recognition // Computational technologies. 2008. V. 13. ¹ 6. P. 28-39
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