Bicluster Analysis of Cheng and Church's Algorithm to Identify Patterns of People's Welfare in Indonesia

Laradea Marifni, Made Sumertajaya, U. Syafitri
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Abstract

Biclustering is a method of grouping numerical data where rows and columns are grouped simultaneously. The Cheng and Church (CC) algorithm is one of the bi-clustering algorithms that try to find the maximum bi-cluster with a high similarity value, called MSR (Mean Square Residue). The association of rows and columns is called a bi-cluster if the MSR is lower than a predetermined threshold value (delta). Detection of people's welfare in Indonesia using Bi-Clustering is essential to get an overview of the characteristics of people's interest in each province in Indonesia. Bi-Clustering using the CC algorithm requires a threshold value (delta) determined by finding the MSR value of the actual data. The threshold value (delta) must be smaller than the MSR of the actual data. This study's threshold values are 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, and 0.8. After evaluating the optimum delta by considering the MSR value and the bi-cluster formed, the optimum delta is obtained as 0.1, with the number of bi-cluster included as 4.
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对 Cheng 和 Church 算法进行双簇分析以确定印度尼西亚人民的福利模式
双聚类是一种对数字数据进行分组的方法,其中行和列同时分组。Cheng 和 Church(CC)算法是双聚类算法中的一种,它试图找到具有高相似度值(称为 MSR(均方残差))的最大双聚类。如果 MSR 低于预定的阈值(delta),则行和列的关联称为双簇。使用双聚类法检测印尼人民的福利对于全面了解印尼各省人民的利益特征至关重要。使用 CC 算法进行双聚类分析需要一个阈值(delta),该阈值由实际数据的 MSR 值决定。阈值(delta)必须小于实际数据的 MSR。本研究的阈值为 0.1、0.2、0.3、0.4、0.5、0.6、0.7 和 0.8。通过考虑 MSR 值和所形成的双簇,对最佳 delta 值进行评估后,得出最佳 delta 值为 0.1,双簇数量为 4。
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