CLASSIFICATION OF MULTIVARIATE SAMPLES USING PETUNIN ELLIPSES

Authors

  • D. A. Klyushin Faculty of Computer Science and Cybernetics, Taras Shevchenko Kiev National University, Kiev, Ukraine
  • Ya. V. Shtyk Faculty of Computer Science and Cybernetics, Taras Shevchenko Kiev National University, Kiev, Ukraine

DOI:

https://doi.org/10.17721/2706-9699.2020.1.05

Keywords:

Petunin Ellipse, Petunin Statistics, Multivariate Sample, Linear Discriminant, Quadratic Discriminant, Classification

Abstract

The method of classification multivariate samples using Petunin ellipses is investigated in the paper. Several different types of samples were generated for testing. Based on the calculated accuracy of the criteria advantages and disadvantages of each of the linear and quadratic criteria and the specifics of the method as a whole were discovered. It has been found that both linear and quadratic criteria give high accuracy for samples with small variance. As the variance increases, the accuracy of the linear criterion remains high, the accuracy of the quadratic criterion decreases. Both criteria are resistant to sample noise.

References

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Published

2020-07-02

How to Cite

Klyushin, D. A., & Shtyk, Y. V. (2020). CLASSIFICATION OF MULTIVARIATE SAMPLES USING PETUNIN ELLIPSES. Journal of Numerical and Applied Mathematics, 1 (133), 59-67. https://doi.org/10.17721/2706-9699.2020.1.05