A Dynamic State Cluster-Based Particle Swarm Optimization Algorithm

Abstract Fitness landscape (FL) is an effective tool for describing and analyzing the real-time dynamics of the search process, offering valuable insights into the population’s varying states. In particle swarm optimization for complex optimization challenges, parameter selection significantly influ...

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Main Authors: Zhenya Diao, Fei Yu, Hongrun Wu, Xuewen Xia
Format: Article
Language:English
Published: Springer 2025-08-01
Series:International Journal of Computational Intelligence Systems
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Online Access:https://doi.org/10.1007/s44196-025-00902-8
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author Zhenya Diao
Fei Yu
Hongrun Wu
Xuewen Xia
author_facet Zhenya Diao
Fei Yu
Hongrun Wu
Xuewen Xia
author_sort Zhenya Diao
collection DOAJ
description Abstract Fitness landscape (FL) is an effective tool for describing and analyzing the real-time dynamics of the search process, offering valuable insights into the population’s varying states. In particle swarm optimization for complex optimization challenges, parameter selection significantly influences performance across various population states. However, current methods for constructing fitness landscapes demonstrate insufficient theoretical analysis of state parameters and involve high construction time costs. To address these limitations, this paper introduces a dynamic state cluster-based particle swarm optimization (DSCPSO) algorithm, which employs population phenotypic entropy based on clustering technique. (1) The algorithm provides theoretical splitting points by mathematically analyzing the population into four states: convergence, exploitation, escape, and exploration, enabling more effective parameter adaptive mechanisms. (2) DSCPSO incorporates sinusoidal chaos mapping to dynamically adjust inertia weights, allowing particles to better align with the population’s evolutionary state. (3) During the convergence state, an intelligent particle migration strategy (IPMS) enhances search efficiency within the solution space, preventing unnecessary computational resource consumption. Eventually, comparative analysis with 10 advanced existing algorithms on the CEC2017 and CEC2022 benchmark suites demonstrates that DSCPSO achieves competitive performance across over 70% of the functions, validating the algorithm’s effectiveness and superiority. In addition, the Wilcoxon-test of the algorithm verifies the validity of the algorithm, and also applies the algorithm to a high-dimensional feature selection problem, which demonstrates the ability of the proposed algorithm to solve real-world problems.
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spelling doaj-art-30df8ce0d29f4bfd8656c5c79abc384e2025-08-20T03:06:05ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832025-08-0118113710.1007/s44196-025-00902-8A Dynamic State Cluster-Based Particle Swarm Optimization AlgorithmZhenya Diao0Fei Yu1Hongrun Wu2Xuewen Xia3School of Physics and Information Engineering, Minnan Normal UniversitySchool of Physics and Information Engineering, Minnan Normal UniversitySchool of Physics and Information Engineering, Minnan Normal UniversitySchool of Physics and Information Engineering, Minnan Normal UniversityAbstract Fitness landscape (FL) is an effective tool for describing and analyzing the real-time dynamics of the search process, offering valuable insights into the population’s varying states. In particle swarm optimization for complex optimization challenges, parameter selection significantly influences performance across various population states. However, current methods for constructing fitness landscapes demonstrate insufficient theoretical analysis of state parameters and involve high construction time costs. To address these limitations, this paper introduces a dynamic state cluster-based particle swarm optimization (DSCPSO) algorithm, which employs population phenotypic entropy based on clustering technique. (1) The algorithm provides theoretical splitting points by mathematically analyzing the population into four states: convergence, exploitation, escape, and exploration, enabling more effective parameter adaptive mechanisms. (2) DSCPSO incorporates sinusoidal chaos mapping to dynamically adjust inertia weights, allowing particles to better align with the population’s evolutionary state. (3) During the convergence state, an intelligent particle migration strategy (IPMS) enhances search efficiency within the solution space, preventing unnecessary computational resource consumption. Eventually, comparative analysis with 10 advanced existing algorithms on the CEC2017 and CEC2022 benchmark suites demonstrates that DSCPSO achieves competitive performance across over 70% of the functions, validating the algorithm’s effectiveness and superiority. In addition, the Wilcoxon-test of the algorithm verifies the validity of the algorithm, and also applies the algorithm to a high-dimensional feature selection problem, which demonstrates the ability of the proposed algorithm to solve real-world problems.https://doi.org/10.1007/s44196-025-00902-8Evolutionary stateFitness landscapeK-meansPopulation phenotypic entropyParticle swarm optimization
spellingShingle Zhenya Diao
Fei Yu
Hongrun Wu
Xuewen Xia
A Dynamic State Cluster-Based Particle Swarm Optimization Algorithm
International Journal of Computational Intelligence Systems
Evolutionary state
Fitness landscape
K-means
Population phenotypic entropy
Particle swarm optimization
title A Dynamic State Cluster-Based Particle Swarm Optimization Algorithm
title_full A Dynamic State Cluster-Based Particle Swarm Optimization Algorithm
title_fullStr A Dynamic State Cluster-Based Particle Swarm Optimization Algorithm
title_full_unstemmed A Dynamic State Cluster-Based Particle Swarm Optimization Algorithm
title_short A Dynamic State Cluster-Based Particle Swarm Optimization Algorithm
title_sort dynamic state cluster based particle swarm optimization algorithm
topic Evolutionary state
Fitness landscape
K-means
Population phenotypic entropy
Particle swarm optimization
url https://doi.org/10.1007/s44196-025-00902-8
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AT zhenyadiao dynamicstateclusterbasedparticleswarmoptimizationalgorithm
AT feiyu dynamicstateclusterbasedparticleswarmoptimizationalgorithm
AT hongrunwu dynamicstateclusterbasedparticleswarmoptimizationalgorithm
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