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一种基于Voronoi镶嵌的新技术,用于评估分类变量的空间依赖性。

A New Technique Based on Voronoi Tessellation to Assess the Space-Dependence of Categorical Variables.

作者信息

Zufiria Pedro J, Hernández-Medina Miguel Á

机构信息

ETS Ingenieros de Telecomunicación, Information Processing and Telecommunications Center (IPTC), Universidad Politécnica de Madrid, 28040 Madrid, Spain.

出版信息

Entropy (Basel). 2019 Aug 8;21(8):774. doi: 10.3390/e21080774.

DOI:10.3390/e21080774
PMID:33267486
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7515304/
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.

摘要

基于一组地理定位元素样本,每个元素都标记有一个(不一定有序的)分类特征,评估了几个用于评估地理定位变量(纬度和经度)与分类变量之间关系的指标。在这些指标中,基于Voronoi镶嵌的一个新指标具有几个优点,因为它不需要变量变换或预先离散化;此外,模拟表明,与先前已知的指标相比,该指标具有相当强的稳健性。最后,通过分析一些从通话详单记录导出的通信网络中社区的地理位置,说明了所提出指标的使用情况。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1b5/7515304/ea0ca22ba06a/entropy-21-00774-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1b5/7515304/adee8b1df180/entropy-21-00774-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1b5/7515304/5e81ee755447/entropy-21-00774-g002a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1b5/7515304/b87bcc2c0e99/entropy-21-00774-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1b5/7515304/ea0ca22ba06a/entropy-21-00774-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1b5/7515304/adee8b1df180/entropy-21-00774-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1b5/7515304/5e81ee755447/entropy-21-00774-g002a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1b5/7515304/b87bcc2c0e99/entropy-21-00774-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a1b5/7515304/ea0ca22ba06a/entropy-21-00774-g004.jpg

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本文引用的文献

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Identifying seasonal mobility profiles from anonymized and aggregated mobile phone data. Application in food security.从匿名和聚合的移动电话数据中识别季节性流动特征。在粮食安全方面的应用。
PLoS One. 2018 Apr 26;13(4):e0195714. doi: 10.1371/journal.pone.0195714. eCollection 2018.
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PLoS One. 2014 Feb 19;9(2):e87357. doi: 10.1371/journal.pone.0087357. eCollection 2014.
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Estimating mutual information.估计互信息。
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