A new technique based on Voronoi tessellation to assess the space-dependence of categorical variables

Zufiria Zatarain, Pedro José and Hernandez Medina, Miguel Angel (2019). A new technique based on Voronoi tessellation to assess the space-dependence of categorical variables. "Entropy", v. 21 (n. 774); pp. 1-14. ISSN 1099-4300. https://doi.org/10.3390/e21080774.

Description

Title: A new technique based on Voronoi tessellation to assess the space-dependence of categorical variables
Author/s:
  • Zufiria Zatarain, Pedro José
  • Hernandez Medina, Miguel Angel
Item Type: Article
Título de Revista/Publicación: Entropy
Date: August 2019
ISSN: 1099-4300
Volume: 21
Subjects:
Freetext Keywords: spatial correlation; independence indices; Voronoi tessellation; entropy
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Based on a sample of geolocated elements, each of them labeled with a (not necessarily ordered) categorical feature, several indexes for assessing the relationship between the geolocation variables (latitude and longitude) and the categorical variable are evaluated. Among these indexes, a new one based on a Voronoi tessellation presents several advantages since it does not require a variable transformation or a previous discretization; in addition, simulations show that this index is considerably robust when compared with the previously known ones. Finally, the use of the presented indexes is also illustrated by analyzing the geolocation of communities in some communication networks derived from Call Detail Records.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM2015-67396-PUnspecifiedUnspecifiedRedes complejas: modelado, dinámica y aplicaciones
Government of SpainMTM2017-84098-PUnspecifiedUnspecifiedFundamentos matemáticos de las tecnologías de la información cuánticas: convexidad, muestreo y álgebras de operadores

More information

Item ID: 56746
DC Identifier: http://oa.upm.es/56746/
OAI Identifier: oai:oa.upm.es:56746
DOI: 10.3390/e21080774
Official URL: https://www.mdpi.com/1099-4300/21/8/774
Deposited by: Memoria Investigacion
Deposited on: 15 Oct 2019 14:53
Last Modified: 15 Oct 2019 14:53
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