<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>A linear combination of Gaussian components is known as a Gaussian mixture model. It is widely used in data mining and pattern recognition. In this paper, we propose a method to estimate the parameters of the density function given by a Gaussian mixture model. Our proposal is based on the Gini index, a methodology to measure the inequality degree between two probability distributions, and consists in minimizing the Gini index between an empirical distribution for the data and a Gaussian mixture model. We will show several simulated examples and real data examples, observing some of the properties of the proposed method.</p>
</abstract>

A linear combination of Gaussian components is known as a Gaussian mixture model. It is widely used in data mining and pattern recognition. In this paper, we propose a method to estimate the parameters of the density function given by a Gaussian mixture model. Our proposal is based on the Gini index, a methodology to measure the inequality degree between two probability distributions, and consists in minimizing the Gini index between an empirical distribution for the data and a Gaussian mixture model. We will show several simulated examples and real data examples, observing some of the properties of the proposed method.

Fitting a Gaussian Mixture Model Through the Gini Index

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Fitting a Gaussian Mixture Model Through the Gini Index"}

A linear combination of Gaussian components is known as a Gaussian mixture model. It is widely used in data mining and pattern recognition. In this paper, we...

Fitting a Gaussian Mixture Model Through the Gini Index

Published Online: Sep 27, 2021

Page range: 487 - 500

Received: Mar 29, 2021

Accepted: Jul 01, 2021

DOI: https://doi.org/10.34768/amcs-2021-0033

Keywords
Gini index problem, Gaussian mixture model, clustering

© 2021 Adriana Laura López-Lobato et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Fitting a Gaussian Mixture Model Through the Gini Index

Published Online: Sep 27, 2021

Page range: 487 - 500

Received: Mar 29, 2021

Accepted: Jul 01, 2021

DOI: https://doi.org/10.34768/amcs-2021-0033

KeywordsGini index problem, Gaussian mixture model, clustering

© 2021 Adriana Laura López-Lobato et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Gini index problem, Gaussian mixture model, clustering