Expensive Multiobjective Optimization Algorithm Based on Equivariate Component Analysis

In order to reduce the cost of candidate solution evaluation in the process of solving expensive optimization problems, an expensive multi-objective optimization algorithm based on equivalence component analysis was proposed to study the influence of decision space equivalence components on the pred...

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Main Authors: Li Wenbin, Chai Zi'an, Gang Liu
Format: Article
Language:English
Published: IEEE 2022-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9815070/
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author Li Wenbin
Chai Zi'an
Gang Liu
author_facet Li Wenbin
Chai Zi'an
Gang Liu
author_sort Li Wenbin
collection DOAJ
description In order to reduce the cost of candidate solution evaluation in the process of solving expensive optimization problems, an expensive multi-objective optimization algorithm based on equivalence component analysis was proposed to study the influence of decision space equivalence components on the prediction accuracy of agent models. Based on the analysis of the equivalence of decision space attributes, a limit learning network based on the equivalence components was constructed for Pareto dominance prediction among candidate solutions. A multi-objective test problem with equivalent components was selected in Pareto dominance prediction experiments, the results of which showed that the algorithm can effectively improve the accuracy of Pareto dominance prediction among candidate solutions. Successively the candidate solutions were scored with multiple ELM (Extreme Learning Machine) models, selected for evaluation and updated, and integrated into the Pareto-based multi-objective evolutionary algorithm. Through comparative experiments on the test problem, the method could achieve a better Pareto approximation solution under the limitation of a limited number of evaluations, and the goal of reducing the cost of expensive multi-objective optimization calculations.
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spelling doaj.art-d815c41af91a4964a3de9ad9ddb60d2b2022-12-22T04:00:40ZengIEEEIEEE Access2169-35362022-01-0110738357384610.1109/ACCESS.2022.31882489815070Expensive Multiobjective Optimization Algorithm Based on Equivariate Component AnalysisLi Wenbin0https://orcid.org/0000-0002-2317-3495Chai Zi'an1https://orcid.org/0000-0001-6409-6935Gang Liu2School of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang, ChinaSchool of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang, ChinaSchool of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang, ChinaIn order to reduce the cost of candidate solution evaluation in the process of solving expensive optimization problems, an expensive multi-objective optimization algorithm based on equivalence component analysis was proposed to study the influence of decision space equivalence components on the prediction accuracy of agent models. Based on the analysis of the equivalence of decision space attributes, a limit learning network based on the equivalence components was constructed for Pareto dominance prediction among candidate solutions. A multi-objective test problem with equivalent components was selected in Pareto dominance prediction experiments, the results of which showed that the algorithm can effectively improve the accuracy of Pareto dominance prediction among candidate solutions. Successively the candidate solutions were scored with multiple ELM (Extreme Learning Machine) models, selected for evaluation and updated, and integrated into the Pareto-based multi-objective evolutionary algorithm. Through comparative experiments on the test problem, the method could achieve a better Pareto approximation solution under the limitation of a limited number of evaluations, and the goal of reducing the cost of expensive multi-objective optimization calculations.https://ieeexplore.ieee.org/document/9815070/Expensive multi-objective optimizationequivalent componentsPareto dominancesurrogate model
spellingShingle Li Wenbin
Chai Zi'an
Gang Liu
Expensive Multiobjective Optimization Algorithm Based on Equivariate Component Analysis
IEEE Access
Expensive multi-objective optimization
equivalent components
Pareto dominance
surrogate model
title Expensive Multiobjective Optimization Algorithm Based on Equivariate Component Analysis
title_full Expensive Multiobjective Optimization Algorithm Based on Equivariate Component Analysis
title_fullStr Expensive Multiobjective Optimization Algorithm Based on Equivariate Component Analysis
title_full_unstemmed Expensive Multiobjective Optimization Algorithm Based on Equivariate Component Analysis
title_short Expensive Multiobjective Optimization Algorithm Based on Equivariate Component Analysis
title_sort expensive multiobjective optimization algorithm based on equivariate component analysis
topic Expensive multi-objective optimization
equivalent components
Pareto dominance
surrogate model
url https://ieeexplore.ieee.org/document/9815070/
work_keys_str_mv AT liwenbin expensivemultiobjectiveoptimizationalgorithmbasedonequivariatecomponentanalysis
AT chaizian expensivemultiobjectiveoptimizationalgorithmbasedonequivariatecomponentanalysis
AT gangliu expensivemultiobjectiveoptimizationalgorithmbasedonequivariatecomponentanalysis