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arXiv · 2006.04663

Runtime Analysis of Evolutionary Algorithms via Symmetry Arguments

Benjamin Doerr
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Abstract

We use an elementary argument building on group actions to prove that the selection-free steady state genetic algorithm analyzed by Sutton and Witt (GECCO 2019) takes an expected number of $Ω(2^n / \sqrt n)$ iterations to find any particular target search point. This bound is valid for all population sizes $μ$. Our result improves over the previous lower bound of $Ω(\exp(n^{δ/2}))$ valid for population sizes $μ= O(n^{1/2 - δ})$, $0 < δ< 1/2$.

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BibTeXRIS

Benjamin Doerr. 2020-10-31. Runtime Analysis of Evolutionary Algorithms via Symmetry Arguments. https://doi.org/10.1016/j.ipl.2020.106064

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