A Tight Runtime Analysis for the cGA on Jump Functions - EDAs Can Cross Fitness Valleys at No Extra Cost

GECCO, pp. 1488-1496, 2019.

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Abstract:

We prove that the compact genetic algorithm (cGA) with hypothetical population size $\mu = \Omega(\sqrt n \log n) \cap \text{poly}(n)$ with high probability finds the optimum of any $n$-dimensional jump function with jump size $k < \frac 1 {20} \ln n$ in $O(\mu \sqrt n)$ iterations. Since it is known that the cGA with high probability n...More

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