An enhanced version of black hole algorithm via levy flight for optimization and data clustering problems

The processes of retrieving useful information from a dataset are an important data mining technique that is commonly applied, known as Data Clustering. Recently, nature-inspired algorithms have been proposed and utilized for solving the optimization problems in general, and data clustering problem...

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Main Authors: Abdulwahab, Haneen A., Noraziah, Ahmad, Al-Sewari, Abdul Rahman Ahmed Mohammed, Salih, Sinan Q.
Format: Article
Language:English
Published: IEEE 2019
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/27559/
http://umpir.ump.edu.my/id/eprint/27559/1/An%20enhanced%20version%20of%20black%20hole%20algorithm%20via%20levy.pdf
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author Abdulwahab, Haneen A.
Noraziah, Ahmad
Al-Sewari, Abdul Rahman Ahmed Mohammed
Salih, Sinan Q.
author_facet Abdulwahab, Haneen A.
Noraziah, Ahmad
Al-Sewari, Abdul Rahman Ahmed Mohammed
Salih, Sinan Q.
author_sort Abdulwahab, Haneen A.
building UMP Institutional Repository
collection Online Access
description The processes of retrieving useful information from a dataset are an important data mining technique that is commonly applied, known as Data Clustering. Recently, nature-inspired algorithms have been proposed and utilized for solving the optimization problems in general, and data clustering problem in particular. Black Hole (BH) optimization algorithm has been underlined as a solution for data clustering problems, in which it is a population-based metaheuristic that emulates the phenomenon of the black holes in the universe. In this instance, every solution in motion within the search space represents an individual star. The original BH has shown a superior performance when applied on a benchmark dataset, but it lacks exploration capabilities in some datasets. Addressing the exploration issue, this paper introduces the levy flight into BH algorithm to result in a novel data clustering method “Levy Flight Black Hole (LBH)”, which was then presented accordingly. In LBH, the movement of each star depends mainly on the step size generated by the Levy distribution. Therefore, the star explores an area far from the current black hole when the value step size is big, and vice versa. The performance of LBH in terms of finding the best solutions, prevent getting stuck in local optimum, and the convergence rate has been evaluated based on several unimodal and multimodal numerical optimization problems. Additionally, LBH is then tested using six real datasets available from UCI machine learning laboratory. The experimental outcomes obtained indicated the designed algorithm's suitability for data clustering, displaying effectiveness and robustness.
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spelling ump-275592020-04-01T00:06:25Z http://umpir.ump.edu.my/id/eprint/27559/ An enhanced version of black hole algorithm via levy flight for optimization and data clustering problems Abdulwahab, Haneen A. Noraziah, Ahmad Al-Sewari, Abdul Rahman Ahmed Mohammed Salih, Sinan Q. QA Mathematics QA76 Computer software TK Electrical engineering. Electronics Nuclear engineering The processes of retrieving useful information from a dataset are an important data mining technique that is commonly applied, known as Data Clustering. Recently, nature-inspired algorithms have been proposed and utilized for solving the optimization problems in general, and data clustering problem in particular. Black Hole (BH) optimization algorithm has been underlined as a solution for data clustering problems, in which it is a population-based metaheuristic that emulates the phenomenon of the black holes in the universe. In this instance, every solution in motion within the search space represents an individual star. The original BH has shown a superior performance when applied on a benchmark dataset, but it lacks exploration capabilities in some datasets. Addressing the exploration issue, this paper introduces the levy flight into BH algorithm to result in a novel data clustering method “Levy Flight Black Hole (LBH)”, which was then presented accordingly. In LBH, the movement of each star depends mainly on the step size generated by the Levy distribution. Therefore, the star explores an area far from the current black hole when the value step size is big, and vice versa. The performance of LBH in terms of finding the best solutions, prevent getting stuck in local optimum, and the convergence rate has been evaluated based on several unimodal and multimodal numerical optimization problems. Additionally, LBH is then tested using six real datasets available from UCI machine learning laboratory. The experimental outcomes obtained indicated the designed algorithm's suitability for data clustering, displaying effectiveness and robustness. IEEE 2019-08-22 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/27559/1/An%20enhanced%20version%20of%20black%20hole%20algorithm%20via%20levy.pdf Abdulwahab, Haneen A. and Noraziah, Ahmad and Al-Sewari, Abdul Rahman Ahmed Mohammed and Salih, Sinan Q. (2019) An enhanced version of black hole algorithm via levy flight for optimization and data clustering problems. IEEE Access, 7 (8809737). pp. 142085-142096. ISSN 2169-3536. (Published) https://doi.org/10.1109/ACCESS.2019.2937021 https://doi.org/10.1109/ACCESS.2019.2937021
spellingShingle QA Mathematics
QA76 Computer software
TK Electrical engineering. Electronics Nuclear engineering
Abdulwahab, Haneen A.
Noraziah, Ahmad
Al-Sewari, Abdul Rahman Ahmed Mohammed
Salih, Sinan Q.
An enhanced version of black hole algorithm via levy flight for optimization and data clustering problems
title An enhanced version of black hole algorithm via levy flight for optimization and data clustering problems
title_full An enhanced version of black hole algorithm via levy flight for optimization and data clustering problems
title_fullStr An enhanced version of black hole algorithm via levy flight for optimization and data clustering problems
title_full_unstemmed An enhanced version of black hole algorithm via levy flight for optimization and data clustering problems
title_short An enhanced version of black hole algorithm via levy flight for optimization and data clustering problems
title_sort enhanced version of black hole algorithm via levy flight for optimization and data clustering problems
topic QA Mathematics
QA76 Computer software
TK Electrical engineering. Electronics Nuclear engineering
url http://umpir.ump.edu.my/id/eprint/27559/
http://umpir.ump.edu.my/id/eprint/27559/
http://umpir.ump.edu.my/id/eprint/27559/
http://umpir.ump.edu.my/id/eprint/27559/1/An%20enhanced%20version%20of%20black%20hole%20algorithm%20via%20levy.pdf