Performance Analysis of the EM Algorithm in Conjunction with Algorithms for Determining an Optimal Number of Clusters and Their Centroids, Which Allows Estimating Parameters of Non-Gaussian Interference in Mobile Communication Systems


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In this article, the “elbow method” and the “average silhouette” algorithms are used for determining an optimal number of clusters. A “shifted” EM algorithm adapted to the number of clusters is put forward, which allows increasing accuracy of the Gaussian mixture distribution approximation that determines the probabilistic structure of the interference distribution. Dependencies of an average number of cycles and the Kullback–Leibler divergence on a number of clusters in an initial mixture are obtained via mathematical modeling with a preset range of parameters. A comparative analysis of the EM algorithm results is carried out.

作者简介

R. Faizullin

Tupolev Kazan National Research Technical University

Email: yaushev.st@mail.ru
俄罗斯联邦, ul. Karla Marksa 10, Kazan, 420111

S. Yaushev

Tupolev Kazan National Research Technical University

编辑信件的主要联系方式.
Email: yaushev.st@mail.ru
俄罗斯联邦, ul. Karla Marksa 10, Kazan, 420111

A. Insarov

Tupolev Kazan National Research Technical University

Email: yaushev.st@mail.ru
俄罗斯联邦, ul. Karla Marksa 10, Kazan, 420111

R. Zaripov

Tupolev Kazan National Research Technical University

Email: yaushev.st@mail.ru
俄罗斯联邦, ul. Karla Marksa 10, Kazan, 420111

M. Fatykhov

Tupolev Kazan National Research Technical University

Email: yaushev.st@mail.ru
俄罗斯联邦, ul. Karla Marksa 10, Kazan, 420111

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