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Subspace Clustering Mutation Operator for Developing Convergent Differential Evolution Algorithm
Joint Authors
Hu, Zhongbo
Xiong, Shengwu
Su, Qinghua
Chen, Zhong
Wang, Xiuhua
Liu, Mianfang
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-14
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Many researches have identified that differential evolution algorithm (DE) is one of the most powerful stochastic real-parameter algorithms for global optimization problems.
However, a stagnation problem still exists in DE variants.
In order to overcome the disadvantage, two improvement ideas have gradually appeared recently.
One is to combine multiple mutation operators for balancing the exploration and exploitation ability.
The other is to develop convergent DE variants in theory for decreasing the occurrence probability of the stagnation.
Given that, this paper proposes a subspace clustering mutation operator, called SC_qrtop.
Five DE variants, which hold global convergence in probability, are then developed by combining the proposed operator and five mutation operators of DE, respectively.
The SC_qrtop randomly selects an elite individual as a perturbation’s center and employs the difference between two randomly generated boundary individuals as a perturbation’s step.
Theoretical analyses and numerical simulations demonstrate that SC_qrtop prefers to search in the orthogonal subspace centering on the elite individual.
Experimental results on CEC2005 benchmark functions indicate that all five convergent DE variants with SC_qrtop mutation outperform the corresponding DE algorithms.
American Psychological Association (APA)
Hu, Zhongbo& Xiong, Shengwu& Wang, Xiuhua& Su, Qinghua& Liu, Mianfang& Chen, Zhong. 2014. Subspace Clustering Mutation Operator for Developing Convergent Differential Evolution Algorithm. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-450170
Modern Language Association (MLA)
Hu, Zhongbo…[et al.]. Subspace Clustering Mutation Operator for Developing Convergent Differential Evolution Algorithm. Mathematical Problems in Engineering No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-450170
American Medical Association (AMA)
Hu, Zhongbo& Xiong, Shengwu& Wang, Xiuhua& Su, Qinghua& Liu, Mianfang& Chen, Zhong. Subspace Clustering Mutation Operator for Developing Convergent Differential Evolution Algorithm. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-450170
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450170