An Asymptotic Theory of Genetic Algorithms
AE '95 Selected Papers from the European conference on Artificial Evolution
Genetic Algorithms: Minimal Conditions for Convergence
AE '97 Selected Papers from the Third European Conference on Artificial Evolution
AE '97 Selected Papers from the Third European Conference on Artificial Evolution
An evolutionary strategy for global minimization and its Markovchain analysis
IEEE Transactions on Evolutionary Computation
Algorithms (x, sigma, eta): quasi-random mutations for evolution strategies
EA'05 Proceedings of the 7th international conference on Artificial Evolution
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When considering continuous spaces EA, a convenient tool to model these algorithms is perturbation theory. In this paper we present preliminary results, derived from Freidlin-Wentzell theory, related to the convergence of a simple EA model. The main result of this paper yields a bound on sojourn times of the Markov process in subsets centered around the maxima of the fitness function. Exploitation of this result opens the way to convergence speed bounds with respect to some statistical measures on the fitness function (likely related to irregularity).