Construction of classifiers based on kernel density estimations using the a posteriori probabilities of competing sets

1Anisimov, AV
1Galkin, OA
1Taras Shevchenko National University of Kyiv
Dopov. Nac. akad. nauk Ukr. 2015, 9:25-32
https://doi.org/10.15407/dopovidi2015.09.025
Section: Information Science and Cybernetics
Language: Ukrainian
Abstract: 

An approach is proposed to construct classifiers based on kernel density estimates for solving pattern recognition problems. The approach is based on the use of the a posteriori probability and a distributive π-type measure for the effective division of competing sets. The family of density estimates is applied to each set in a wide range of bandwidths for each estimate of the class density. A procedure is proposed and adapted to combine the classification results on different levels of smoothing that provides a flexible use of different bandwidths for different pairs of competing classes. Statistical uncertainties are calculated on the basis of approximate estimated probabilities of a misclassification.

Keywords: classification rule, density estimate, weight function
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