EPICS: error-preserved and interpolation-corrected surrogate-assisted particle swarm optimization for complex optimization

Abstract Surrogate-assisted particle swarm optimization (SAPSO) has been proven to be efficient in solving high-dimension problems. However, the error originating from the surrogate model tends to mislead search direction and frequently traps in a local optimum. Therefore, this paper proposes error-...

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Main Authors: Tongbang Jiang, Jeng-Shyang Pan, Shu-Chuan Chu, Chaoli Sun, Václav Snášel
Format: Article
Language:English
Published: Springer 2025-06-01
Series:Complex & Intelligent Systems
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Online Access:https://doi.org/10.1007/s40747-025-01947-0
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author Tongbang Jiang
Jeng-Shyang Pan
Shu-Chuan Chu
Chaoli Sun
Václav Snášel
author_facet Tongbang Jiang
Jeng-Shyang Pan
Shu-Chuan Chu
Chaoli Sun
Václav Snášel
author_sort Tongbang Jiang
collection DOAJ
description Abstract Surrogate-assisted particle swarm optimization (SAPSO) has been proven to be efficient in solving high-dimension problems. However, the error originating from the surrogate model tends to mislead search direction and frequently traps in a local optimum. Therefore, this paper proposes error-preserved and interpolation-corrected SAPSO (EPICS) for complex optimization. Firstly, the error between estimated evaluation and real evaluation acquires revision through preserved error to better represent practical particles. Then, the interpolation-corrected mechanism is embedded between particles and the surrogate model to correct particles resisting premature convergence. Finally, experimental results on CEC2013 benchmark functions denote EPICS has advantages in more accurate fitness evaluation for high-dimension problems, which suggests that the search direction obtains proofreading, and the exploitation ability achieves enhancement with the correction of interpolation. Additionally, well-known complex functions are tested to validate the effectiveness of EPICS compared to state-of-the-art algorithms. Simulations indicate EPICS presents a promising searching ability for complex optimization, especially for high-dimensions. Finally, we applied EPICS to a complex truss stress optimization problem, resulting in lower stress and a more uniform stress distribution.
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institution DOAJ
issn 2199-4536
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language English
publishDate 2025-06-01
publisher Springer
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series Complex & Intelligent Systems
spelling doaj-art-6727c771e871472eb7e008a3cf8084bd2025-08-20T03:06:39ZengSpringerComplex & Intelligent Systems2199-45362198-60532025-06-0111812310.1007/s40747-025-01947-0EPICS: error-preserved and interpolation-corrected surrogate-assisted particle swarm optimization for complex optimizationTongbang Jiang0Jeng-Shyang Pan1Shu-Chuan Chu2Chaoli Sun3Václav Snášel4College of Maritime Electrical Engineering, Dalian Maritime UniversityCollege of Artificial Intelligence, Nanjing University of Information Science and TechnologyCollege of Artificial Intelligence, Nanjing University of Information Science and TechnologySchool of Computer Science and Technology, Taiyuan University of Science and TechnologyFaculty of Electrical Engineering and Computer Science, VšB-Technical University of OstravaAbstract Surrogate-assisted particle swarm optimization (SAPSO) has been proven to be efficient in solving high-dimension problems. However, the error originating from the surrogate model tends to mislead search direction and frequently traps in a local optimum. Therefore, this paper proposes error-preserved and interpolation-corrected SAPSO (EPICS) for complex optimization. Firstly, the error between estimated evaluation and real evaluation acquires revision through preserved error to better represent practical particles. Then, the interpolation-corrected mechanism is embedded between particles and the surrogate model to correct particles resisting premature convergence. Finally, experimental results on CEC2013 benchmark functions denote EPICS has advantages in more accurate fitness evaluation for high-dimension problems, which suggests that the search direction obtains proofreading, and the exploitation ability achieves enhancement with the correction of interpolation. Additionally, well-known complex functions are tested to validate the effectiveness of EPICS compared to state-of-the-art algorithms. Simulations indicate EPICS presents a promising searching ability for complex optimization, especially for high-dimensions. Finally, we applied EPICS to a complex truss stress optimization problem, resulting in lower stress and a more uniform stress distribution.https://doi.org/10.1007/s40747-025-01947-0Surrogate-assistedComplex optimizationError-preservedInterpolation-corrected
spellingShingle Tongbang Jiang
Jeng-Shyang Pan
Shu-Chuan Chu
Chaoli Sun
Václav Snášel
EPICS: error-preserved and interpolation-corrected surrogate-assisted particle swarm optimization for complex optimization
Complex & Intelligent Systems
Surrogate-assisted
Complex optimization
Error-preserved
Interpolation-corrected
title EPICS: error-preserved and interpolation-corrected surrogate-assisted particle swarm optimization for complex optimization
title_full EPICS: error-preserved and interpolation-corrected surrogate-assisted particle swarm optimization for complex optimization
title_fullStr EPICS: error-preserved and interpolation-corrected surrogate-assisted particle swarm optimization for complex optimization
title_full_unstemmed EPICS: error-preserved and interpolation-corrected surrogate-assisted particle swarm optimization for complex optimization
title_short EPICS: error-preserved and interpolation-corrected surrogate-assisted particle swarm optimization for complex optimization
title_sort epics error preserved and interpolation corrected surrogate assisted particle swarm optimization for complex optimization
topic Surrogate-assisted
Complex optimization
Error-preserved
Interpolation-corrected
url https://doi.org/10.1007/s40747-025-01947-0
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AT shuchuanchu epicserrorpreservedandinterpolationcorrectedsurrogateassistedparticleswarmoptimizationforcomplexoptimization
AT chaolisun epicserrorpreservedandinterpolationcorrectedsurrogateassistedparticleswarmoptimizationforcomplexoptimization
AT vaclavsnasel epicserrorpreservedandinterpolationcorrectedsurrogateassistedparticleswarmoptimizationforcomplexoptimization