基于贫困指标的K-Means和k - mediids算法在苏门答腊岛各县/城市分组中的性能比较

Mardhiatul Azmi, Atus Amadi putra, Dodi Vionanda, Admi Salma
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摘要

K-Means是一种非分层方法,它根据对象离最近质心的距离将数据分成若干组。K-Medoids是一种非分层聚类技术,它根据对象与最近的medoids的距离将数据分成许多组。研究人员利用2021年苏门答腊岛的贫困数据对这两种方法进行了测试,当时新冠肺炎疫情导致贫困率比前一年有所上升。本研究是一项应用研究,从研究相关理论入手。本研究使用的数据是BPS网站关于贫困指标的二手数据来源。本研究旨在确定区域分组,并将分组结果与k-means和k- medidoids方法进行比较。要找出两种方法之间的最佳性能,那就是查看最低的戴维斯博尔丁指数(DBI)。本研究的结果是,k-means算法在集群1中产生多达34个区/城市,在集群2中产生52个区/城市,在集群3中产生23个区/城市,在集群4中产生45个区/城市。聚类1、2、3、4分别分布53、40、37、24个区市。根据分组结果,得到DBI k-means为1584,k- medium为2359。这意味着k-means算法比k-medoids更好,因为k-means DBI比k-medoids小。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Comparison of the Performance of the K-Means and K-Medoids Algorithms in Grouping Regencies/Cities in Sumatera Based on Poverty Indicators
K-Means is a non-hierarchical approach that separates data into a number of groups according on how far an object is from the closest centroid. K-Medoids is a non-hierarchical clustering technique that separates data into a number of groups according on how far away an object is from the closest medoid. The two approaches were put to the test using data on poverty in Sumatra in 2021, when the Covid-19 outbreak had caused the poverty rate to increase from the year before. This research is an applied research which begins by studying relevant theories. The data used in this study is secondary data sources from the BPS website regarding poverty indicators. This study aims to determine regional groups and compare the results of grouping with the k-means and k-medoids methods. To find out the best performance between the two methods, that is by looking at the lowest Davies Bouldin Index (DBI). The results of this study are the k-means algorithm produces as many as 34 districts/cities incorporated in cluster 1, 52 districts/cities in cluster 2, 23 districts/cities in cluster 3, and 45 districts/cities in cluster 4. k-medoids, namely in clusters 1, 2, 3, and 4, respectively, as many as 53, 40, 37, and 24 districts/cities. Based on the results of the grouping, the DBI k-means of 1,584 and k-medoids of 2,359 were obtained. This means that the k-means algorithm is better than the k-medoids, because the k-means DBI is smaller than the k-medoids.
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