A Multi-Objective Particle Swarm Optimization Approach for Optimizing K-Means Clustering Centroids

The K-Means algorithm is a popular unsupervised learning method used for data clustering. However, its performance heavily depends on centroid initialization and the distribution shape of the data, making it less effective for datasets with complex or non-linear cluster structures. This study evalua...

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Main Authors: Aina Latifa Riyana Putri, Joko Riyono, Christina Eni Pujiastuti, Supriyadi
Format: Article
Language:English
Published: Ikatan Ahli Informatika Indonesia 2025-06-01
Series:Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi)
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Online Access:https://jurnal.iaii.or.id/index.php/RESTI/article/view/6533
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author Aina Latifa Riyana Putri
Joko Riyono
Christina Eni Pujiastuti
Supriyadi
author_facet Aina Latifa Riyana Putri
Joko Riyono
Christina Eni Pujiastuti
Supriyadi
author_sort Aina Latifa Riyana Putri
collection DOAJ
description The K-Means algorithm is a popular unsupervised learning method used for data clustering. However, its performance heavily depends on centroid initialization and the distribution shape of the data, making it less effective for datasets with complex or non-linear cluster structures. This study evaluates the performance of the standard K-Means algorithm and proposes a Multiobjective Particle Swarm Optimization K-Means (MOPSO+K-Means) approach to improve clustering accuracy. The evaluation was conducted on five benchmark datasets: Atom, Chainlink, EngyTime, Target, and TwoDiamonds. Experimental results show that K-Means is effective only on datasets with clearly separated clusters, such as EngyTime and TwoDiamonds, achieving accuracies of 95.6% and 100%, respectively. In contrast, MOPSO+K-Means achieved a substantial accuracy improvement on the complex Target dataset, increasing from 0.26% to 59.2%. The TwoDiamonds dataset achieved the most desirable trade-off: it had the lowest SSW (1323.32), relatively high SSB (2863.34), and lowest standard deviation values, indicating compact clusters, good separation, and high consistency across runs. These findings highlight the potential of swarm-based optimization to achieve consistent and accurate clustering results on datasets with varying structural complexity.
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spelling doaj-art-f89e227a74c84010b80db2c56a4b49b02025-07-01T15:32:55ZengIkatan Ahli Informatika IndonesiaJurnal RESTI (Rekayasa Sistem dan Teknologi Informasi)2580-07602025-06-019362663410.29207/resti.v9i3.65336533A Multi-Objective Particle Swarm Optimization Approach for Optimizing K-Means Clustering CentroidsAina Latifa Riyana Putri0Joko Riyono1Christina Eni Pujiastuti2Supriyadi3Telkom UniversityUniversitas TrisaktiUniversitas TrisaktiUniversitas TrisaktiThe K-Means algorithm is a popular unsupervised learning method used for data clustering. However, its performance heavily depends on centroid initialization and the distribution shape of the data, making it less effective for datasets with complex or non-linear cluster structures. This study evaluates the performance of the standard K-Means algorithm and proposes a Multiobjective Particle Swarm Optimization K-Means (MOPSO+K-Means) approach to improve clustering accuracy. The evaluation was conducted on five benchmark datasets: Atom, Chainlink, EngyTime, Target, and TwoDiamonds. Experimental results show that K-Means is effective only on datasets with clearly separated clusters, such as EngyTime and TwoDiamonds, achieving accuracies of 95.6% and 100%, respectively. In contrast, MOPSO+K-Means achieved a substantial accuracy improvement on the complex Target dataset, increasing from 0.26% to 59.2%. The TwoDiamonds dataset achieved the most desirable trade-off: it had the lowest SSW (1323.32), relatively high SSB (2863.34), and lowest standard deviation values, indicating compact clusters, good separation, and high consistency across runs. These findings highlight the potential of swarm-based optimization to achieve consistent and accurate clustering results on datasets with varying structural complexity.https://jurnal.iaii.or.id/index.php/RESTI/article/view/6533centroidk-meansmultiobjective particle swarm optimizationthe sum of square withinthe sum of square between
spellingShingle Aina Latifa Riyana Putri
Joko Riyono
Christina Eni Pujiastuti
Supriyadi
A Multi-Objective Particle Swarm Optimization Approach for Optimizing K-Means Clustering Centroids
Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi)
centroid
k-means
multiobjective particle swarm optimization
the sum of square within
the sum of square between
title A Multi-Objective Particle Swarm Optimization Approach for Optimizing K-Means Clustering Centroids
title_full A Multi-Objective Particle Swarm Optimization Approach for Optimizing K-Means Clustering Centroids
title_fullStr A Multi-Objective Particle Swarm Optimization Approach for Optimizing K-Means Clustering Centroids
title_full_unstemmed A Multi-Objective Particle Swarm Optimization Approach for Optimizing K-Means Clustering Centroids
title_short A Multi-Objective Particle Swarm Optimization Approach for Optimizing K-Means Clustering Centroids
title_sort multi objective particle swarm optimization approach for optimizing k means clustering centroids
topic centroid
k-means
multiobjective particle swarm optimization
the sum of square within
the sum of square between
url https://jurnal.iaii.or.id/index.php/RESTI/article/view/6533
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