Global convergence results for single parent evolution strategies

In this research article, we present theoretical techniques that can be used to investigate and comprehend the convergence behavior patterns of single parent evolution strategies. In the process, we determine instances of divergence or prove log‐linear convergence and estimate the related speed, for...

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Veröffentlicht in:Mathematical methods in the applied sciences 2017-11, Vol.40 (17), p.6192-6207
Hauptverfasser: Jebalia, Mohamed, Khlaifi, Anis, Muhammad Belgacem, Fethi Bin
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Sprache:eng
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Zusammenfassung:In this research article, we present theoretical techniques that can be used to investigate and comprehend the convergence behavior patterns of single parent evolution strategies. In the process, we determine instances of divergence or prove log‐linear convergence and estimate the related speed, for a single parent evolution strategies class. The tools and results provided herein entertain a wide range of evolution strategies variants of interest and can be readily adapted for global convergence studies of a multitude of continuous optimization methods, evolving a single solution. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4103