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Global convergence results for single parent evolution strategies
Author(s) -
Jebalia Mohamed,
Khlaifi Anis,
Muhammad Belgacem Fethi Bin
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4103
Subject(s) - convergence (economics) , divergence (linguistics) , mathematics , range (aeronautics) , multitude , mathematical optimization , class (philosophy) , computer science , artificial intelligence , epistemology , linguistics , philosophy , materials science , economics , composite material , economic growth
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.