2008, pp 473-485

Statistical Properties of Differential Evolution and Related Random Search Algorithms

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Abstract

The aim of this paper is to analyze the impact on the expected population mean and variance of several variants of mutation and crossover operators used in differential evolution algorithms. As a consequence of this analysis a simple variance based mutation operator which does not use differences but has the same impact on the population variance as classical differential evolution operators is proposed. A preliminary analysis of the distribution probability of the population in the case of a differential evolution algorithm for binary encoding is also presented.