An adjoint feature-selection-based evolutionary algorithm for sparse large-scale multiobjective optimization

Abstract Sparse large-scale multiobjective optimization problems (sparse LSMOPs) are characterized by an enormous number of decision variables, and their Pareto optimal solutions consist of a majority of decision variables with zero values. This property of sparse LSMOPs presents a great challenge i...

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Main Authors: Panpan Zhang, Hang Yin, Ye Tian, Xingyi Zhang
Format: Article
Language:English
Published: Springer 2025-01-01
Series:Complex & Intelligent Systems
Subjects:
Online Access:https://doi.org/10.1007/s40747-024-01752-1
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author Panpan Zhang
Hang Yin
Ye Tian
Xingyi Zhang
author_facet Panpan Zhang
Hang Yin
Ye Tian
Xingyi Zhang
author_sort Panpan Zhang
collection DOAJ
description Abstract Sparse large-scale multiobjective optimization problems (sparse LSMOPs) are characterized by an enormous number of decision variables, and their Pareto optimal solutions consist of a majority of decision variables with zero values. This property of sparse LSMOPs presents a great challenge in terms of how to rapidly and precisely search for Pareto optimal solutions. To deal with this issue, this paper proposes an adjoint feature-selection-based evolutionary algorithm tailored for tackling sparse LSMOPs. The proposed optimization strategy combines two distinct feature selection approaches. Specifically, the paper introduces the sequential forward selection approach to investigate independent sparse distribution, denoting it as the best sequence of decision variables for generating a high-quality initial population. Furthermore, it introduces the Relief approach to determine the relative sparse distribution, identifying crucial decisive variables with dynamic updates to guide the population in a promising evolutionary direction. Experiments are conducted on eight benchmark problems and two real-world problems, and experimental results verify that the proposed algorithm outperforms the existing state-of-the-art evolutionary algorithms for solving sparse LSMOPs.
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institution Kabale University
issn 2199-4536
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publishDate 2025-01-01
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spelling doaj-art-93ec0fcaee4241db882df7f201c451482025-02-09T13:01:11ZengSpringerComplex & Intelligent Systems2199-45362198-60532025-01-0111211810.1007/s40747-024-01752-1An adjoint feature-selection-based evolutionary algorithm for sparse large-scale multiobjective optimizationPanpan Zhang0Hang Yin1Ye Tian2Xingyi Zhang3School of Electrical Engineering, Xi’an University of TechnologyInstitutes of Physical Science and Information Technology, Anhui UniversitySchool of Computer Science and Technology, Anhui UniversitySchool of Computer Science and Technology, Anhui UniversityAbstract Sparse large-scale multiobjective optimization problems (sparse LSMOPs) are characterized by an enormous number of decision variables, and their Pareto optimal solutions consist of a majority of decision variables with zero values. This property of sparse LSMOPs presents a great challenge in terms of how to rapidly and precisely search for Pareto optimal solutions. To deal with this issue, this paper proposes an adjoint feature-selection-based evolutionary algorithm tailored for tackling sparse LSMOPs. The proposed optimization strategy combines two distinct feature selection approaches. Specifically, the paper introduces the sequential forward selection approach to investigate independent sparse distribution, denoting it as the best sequence of decision variables for generating a high-quality initial population. Furthermore, it introduces the Relief approach to determine the relative sparse distribution, identifying crucial decisive variables with dynamic updates to guide the population in a promising evolutionary direction. Experiments are conducted on eight benchmark problems and two real-world problems, and experimental results verify that the proposed algorithm outperforms the existing state-of-the-art evolutionary algorithms for solving sparse LSMOPs.https://doi.org/10.1007/s40747-024-01752-1Large-scale multiobjective optimizationSparse optimizationEvolutionary algorithmAdjoint feature selectionSparse distribution
spellingShingle Panpan Zhang
Hang Yin
Ye Tian
Xingyi Zhang
An adjoint feature-selection-based evolutionary algorithm for sparse large-scale multiobjective optimization
Complex & Intelligent Systems
Large-scale multiobjective optimization
Sparse optimization
Evolutionary algorithm
Adjoint feature selection
Sparse distribution
title An adjoint feature-selection-based evolutionary algorithm for sparse large-scale multiobjective optimization
title_full An adjoint feature-selection-based evolutionary algorithm for sparse large-scale multiobjective optimization
title_fullStr An adjoint feature-selection-based evolutionary algorithm for sparse large-scale multiobjective optimization
title_full_unstemmed An adjoint feature-selection-based evolutionary algorithm for sparse large-scale multiobjective optimization
title_short An adjoint feature-selection-based evolutionary algorithm for sparse large-scale multiobjective optimization
title_sort adjoint feature selection based evolutionary algorithm for sparse large scale multiobjective optimization
topic Large-scale multiobjective optimization
Sparse optimization
Evolutionary algorithm
Adjoint feature selection
Sparse distribution
url https://doi.org/10.1007/s40747-024-01752-1
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