A Quantile General Index Derived from the Maximum Entropy Principle

We propose a linear separation method of multivariate quantitative data in such a way that the average of each variable in the positive group is larger than that of the negative group. Here, the coefficients of the separating hyperplane are restricted to be positive. Our method is derived from the m...

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Detalles Bibliográficos
Autor principal: Sei, Tomonari
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9602005/
https://www.ncbi.nlm.nih.gov/pubmed/37420453
http://dx.doi.org/10.3390/e24101431
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author Sei, Tomonari
author_facet Sei, Tomonari
author_sort Sei, Tomonari
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description We propose a linear separation method of multivariate quantitative data in such a way that the average of each variable in the positive group is larger than that of the negative group. Here, the coefficients of the separating hyperplane are restricted to be positive. Our method is derived from the maximum entropy principle. The composite score obtained as a result is called the quantile general index. The method is applied to the problem of determining the top 10 countries in the world based on the 17 scores of the Sustainable Development Goals (SDGs).
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spelling pubmed-96020052022-10-27 A Quantile General Index Derived from the Maximum Entropy Principle Sei, Tomonari Entropy (Basel) Article We propose a linear separation method of multivariate quantitative data in such a way that the average of each variable in the positive group is larger than that of the negative group. Here, the coefficients of the separating hyperplane are restricted to be positive. Our method is derived from the maximum entropy principle. The composite score obtained as a result is called the quantile general index. The method is applied to the problem of determining the top 10 countries in the world based on the 17 scores of the Sustainable Development Goals (SDGs). MDPI 2022-10-08 /pmc/articles/PMC9602005/ /pubmed/37420453 http://dx.doi.org/10.3390/e24101431 Text en © 2022 by the author. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Sei, Tomonari
A Quantile General Index Derived from the Maximum Entropy Principle
title A Quantile General Index Derived from the Maximum Entropy Principle
title_full A Quantile General Index Derived from the Maximum Entropy Principle
title_fullStr A Quantile General Index Derived from the Maximum Entropy Principle
title_full_unstemmed A Quantile General Index Derived from the Maximum Entropy Principle
title_short A Quantile General Index Derived from the Maximum Entropy Principle
title_sort quantile general index derived from the maximum entropy principle
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9602005/
https://www.ncbi.nlm.nih.gov/pubmed/37420453
http://dx.doi.org/10.3390/e24101431
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