Multi-population Black Hole Algorithm for the problem of data clustering

• Published in: PloS one Vol. 18; no. 7; p. e0288044
• Main Authors: Salih, Sinan Q, Alsewari, AbdulRahman A, Wahab, H A, Mohammed, Mustafa K A, Rashid, Tarik A, Das, Debashish, Basurra, Shadi S
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 05-07-2023; Public Library of Science (PLoS)
• Subjects: Algorithms; Analysis; Benchmarks; Black holes; Cluster analysis; Clustering; Computer and Information Sciences; Data analysis; Data mining; Datasets; Engineering; Evaluation; Genetic algorithms; Heuristic; Heuristic methods; Information retrieval; Machine learning; Mathematical optimization; Mathematical programming; Optimization; Optimization algorithms; Physical Sciences; Research and Analysis Methods; Social Sciences; Solution space; Iraq
• ISSN: 1932-6203; 1932-6203
• DOI: 10.1371/journal.pone.0288044

The retrieval of important information from a dataset requires applying a special data mining technique known as data clustering (DC). DC classifies similar objects into a groups of similar characteristics. Clustering involves grouping the data around k-cluster centres that typically are selected randomly. Recently, the issues behind DC have called for a search for an alternative solution. Recently, a nature-based optimization algorithm named Black Hole Algorithm (BHA) was developed to address the several well-known optimization problems. The BHA is a metaheuristic (population-based) that mimics the event around the natural phenomena of black holes, whereby an individual star represents the potential solutions revolving around the solution space. The original BHA algorithm showed better performance compared to other algorithms when applied to a benchmark dataset, despite its poor exploration capability. Hence, this paper presents a multi-population version of BHA as a generalization of the BHA called MBHA wherein the performance of the algorithm is not dependent on the best-found solution but a set of generated best solutions. The method formulated was subjected to testing using a set of nine widespread and popular benchmark test functions. The ensuing experimental outcomes indicated the highly precise results generated by the method compared to BHA and comparable algorithms in the study, as well as excellent robustness. Furthermore, the proposed MBHA achieved a high rate of convergence on six real datasets (collected from the UCL machine learning lab), making it suitable for DC problems. Lastly, the evaluations conclusively indicated the appropriateness of the proposed algorithm to resolve DC issues.