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  1. Proceedings of the 9th international conference on Foundations of genetic algorithms (FOGA'07)
  2. Genericity of the fixed point set for the infinite population genetic algorithm
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Inbreeding properties of geometric crossover and non-geometric recombinations
Just what are building blocks?
Sufficient conditions for coarse-graining evolutionary dynamics
On the brittleness of evolutionary algorithms
Mutative self-adaptation on the sharp and parabolic ridge
Genericity of the fixed point set for the infinite population genetic algorithm
Neighborhood graphs and symmetric genetic operators
Decomposition of fitness functions in random heuristic search
On the effects of bit-wise neutrality on fitness distance correlation, phenotypic mutation rates and problem hardness
Continuous optimisation theory made easy? finite-element models of evolutionary strategies, genetic algorithms and particle swarm optimizers
Saddles and barrier in landscapes of generalized search operators

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Genericity of the fixed point set for the infinite population genetic algorithm

Content Provider ACM Digital Library
Author Gedeon, Tomáš Hayes, Christina Swanson, Richard
Abstract The infinite populationmodel for the genetic algorithm,where the iteration of the genetic algorithm corresponds to an iteration of a map G, is a discrete dynamical system. The map G is a composition of a selection operator and a mixing operator, where the latter models the effects of both mutation and crossover. This paper shows that for a typical mixing operator, the fixed point set of G is finite. That is, an arbitrarily small perturbation of the mixing operator will result in a map G with finitely many fixed points. Further, any sufficiently small perturbation of the mixing operator preserves the finiteness of the fixed point set.
Starting Page 97
Ending Page 109
Page Count 13
ISBN 9783540734796
ISSN 03029743
Language English
Publisher Association for Computing Machinery (ACM)
Publisher Date 2007-01-08
Publisher Place Berlin, Heidelberg
Access Restriction Subscribed
Subject Keyword Transverse Generic property Genetic algorithm Transversality Fixed point
Content Type Text
Resource Type Article
Subject Theoretical Computer Science Computer Science
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