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Phenotypic evolution with a mutation based on symmetric α-stable distributions

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Obuchowicz A., Prętki P.

International Journal of Applied Mathematics and Computer Science

2004

tom 14

nr 3

289-316

Multidimensional Symmetric α-Stable (SαS) mutations are applied to phenotypic evolutionary algorithms. Such mutations are characterized by non-spherical symmetry for α<2 and the fact that the most probable distance of mutated points is not in a close neighborhood of the origin, but at a certain distance from it. It is the so-called surrounding effect (Obuchowicz, 2001b; 2003b). For α=2, the SαS mutation reduces to the Gaussian one, and in the case of α=1, the Cauchy mutation is obtained. The exploration and exploitation abilities of evolutionary algorithms, using SαS mutations for different α, are analyzed by a set of simulation experiments. The obtained results prove the important influence of the surrounding effect of symmetric α-stable mutations on both the abilities considered.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Obuchowicz A.

1 Prętki P.

1 2004

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Phenotypic evolution with a mutation based on symmetric α-stable distributions