Epistasis-Based Basis Estimation Method for Simplifying the Problem Space of an Evolutionary Search in Binary Representation

An evolutionary search space can be smoothly transformed via a suitable change of basis; however, it can be difficult to determine an appropriate basis. In this paper, a method is proposed to select an optimum basis can be used to simplify an evolutionary search space in a binary encoding scheme. Th...

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Main Authors: Junghwan Lee, Yong-Hyuk Kim
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/2095167
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author Junghwan Lee
Yong-Hyuk Kim
author_facet Junghwan Lee
Yong-Hyuk Kim
author_sort Junghwan Lee
collection DOAJ
description An evolutionary search space can be smoothly transformed via a suitable change of basis; however, it can be difficult to determine an appropriate basis. In this paper, a method is proposed to select an optimum basis can be used to simplify an evolutionary search space in a binary encoding scheme. The basis search method is based on a genetic algorithm and the fitness evaluation is based on the epistasis, which is an indicator of the complexity of a genetic algorithm. Two tests were conducted to validate the proposed method when applied to two different evolutionary search problems. The first searched for an appropriate basis to apply, while the second searched for a solution to the test problem. The results obtained after the identified basis had been applied were compared to those with the original basis, and it was found that the proposed method provided superior results.
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institution Kabale University
issn 1076-2787
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spelling doaj-art-7ea7006730874f128bddd05b077ffeee2025-02-03T07:25:51ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/20951672095167Epistasis-Based Basis Estimation Method for Simplifying the Problem Space of an Evolutionary Search in Binary RepresentationJunghwan Lee0Yong-Hyuk Kim1Department of Computer Science, Kwangwoon University, 20 Kwangwoon-ro, Nowon-gu, Seoul 01897, Republic of KoreaDepartment of Computer Science, Kwangwoon University, 20 Kwangwoon-ro, Nowon-gu, Seoul 01897, Republic of KoreaAn evolutionary search space can be smoothly transformed via a suitable change of basis; however, it can be difficult to determine an appropriate basis. In this paper, a method is proposed to select an optimum basis can be used to simplify an evolutionary search space in a binary encoding scheme. The basis search method is based on a genetic algorithm and the fitness evaluation is based on the epistasis, which is an indicator of the complexity of a genetic algorithm. Two tests were conducted to validate the proposed method when applied to two different evolutionary search problems. The first searched for an appropriate basis to apply, while the second searched for a solution to the test problem. The results obtained after the identified basis had been applied were compared to those with the original basis, and it was found that the proposed method provided superior results.http://dx.doi.org/10.1155/2019/2095167
spellingShingle Junghwan Lee
Yong-Hyuk Kim
Epistasis-Based Basis Estimation Method for Simplifying the Problem Space of an Evolutionary Search in Binary Representation
Complexity
title Epistasis-Based Basis Estimation Method for Simplifying the Problem Space of an Evolutionary Search in Binary Representation
title_full Epistasis-Based Basis Estimation Method for Simplifying the Problem Space of an Evolutionary Search in Binary Representation
title_fullStr Epistasis-Based Basis Estimation Method for Simplifying the Problem Space of an Evolutionary Search in Binary Representation
title_full_unstemmed Epistasis-Based Basis Estimation Method for Simplifying the Problem Space of an Evolutionary Search in Binary Representation
title_short Epistasis-Based Basis Estimation Method for Simplifying the Problem Space of an Evolutionary Search in Binary Representation
title_sort epistasis based basis estimation method for simplifying the problem space of an evolutionary search in binary representation
url http://dx.doi.org/10.1155/2019/2095167
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AT yonghyukkim epistasisbasedbasisestimationmethodforsimplifyingtheproblemspaceofanevolutionarysearchinbinaryrepresentation