Multi-objective Pareto optimization of electromagnetic devices exploiting kriging with lipschitzian optimized expected improvement
Multi-objective Pareto optimization of electromagnetic devices exploiting kriging with lipschitzian optimized expected improvement
This paper focuses on resolving the storage issue of correlation matrices generated by kriging surrogate models in the context of electromagnetic optimization problems with many design variables and multiple objectives. The suggested-improved kriging approach incorporating a direct algorithm is able to maintain memory requirements at a nearly constant level while offering high efficiency of searching for a global optimum. The feasibility and efficiency of this proposed methodology are demonstrated using an example of a classic two-variable analytic function and a new proposed benchmark TEAM multi-objective Pareto optimization problem.
Correlation direct algorithm, hybrid kriging, Kriging surrogate model, multi-objective Pareto optimization
Xiao, Song
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Liu, G. Q.
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Zhang, Y. Z.
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Jing, Y. Z.
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Duan, J. H.
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Di Barba, Paolo
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Sykulski, Jan
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Xiao, Song
6ffa9657-513e-4b86-86a2-e560d3c09c72
Liu, G. Q.
d7cf4e31-f695-420a-a875-16c1284e4eb8
Zhang, Y. Z.
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Jing, Y. Z.
767852e8-4a7a-4ac5-9594-941977e5a7fd
Duan, J. H.
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Di Barba, Paolo
e618834b-ff8e-49e0-92b3-07a2cfe363dd
Sykulski, Jan
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Xiao, Song, Liu, G. Q., Zhang, Y. Z., Jing, Y. Z., Duan, J. H., Di Barba, Paolo and Sykulski, Jan
(2018)
Multi-objective Pareto optimization of electromagnetic devices exploiting kriging with lipschitzian optimized expected improvement.
IEEE Transactions on Magnetics.
(doi:10.1109/TMAG.2017.2771561).
Abstract
This paper focuses on resolving the storage issue of correlation matrices generated by kriging surrogate models in the context of electromagnetic optimization problems with many design variables and multiple objectives. The suggested-improved kriging approach incorporating a direct algorithm is able to maintain memory requirements at a nearly constant level while offering high efficiency of searching for a global optimum. The feasibility and efficiency of this proposed methodology are demonstrated using an example of a classic two-variable analytic function and a new proposed benchmark TEAM multi-objective Pareto optimization problem.
Text
IEEE-TMag-Roger-2018
- Accepted Manuscript
More information
Accepted/In Press date: 29 October 2017
e-pub ahead of print date: 4 January 2018
Keywords:
Correlation direct algorithm, hybrid kriging, Kriging surrogate model, multi-objective Pareto optimization
Identifiers
Local EPrints ID: 416848
URI: http://eprints.soton.ac.uk/id/eprint/416848
ISSN: 0018-9464
PURE UUID: 78711721-45ea-40ce-8bcd-28d7ba8da7ce
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Date deposited: 11 Jan 2018 17:30
Last modified: 16 Mar 2024 02:34
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Contributors
Author:
Song Xiao
Author:
G. Q. Liu
Author:
Y. Z. Zhang
Author:
Y. Z. Jing
Author:
J. H. Duan
Author:
Paolo Di Barba
Author:
Jan Sykulski
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