Coarse Graining Selection and Mutation

Coarse graining is defined in terms of a commutative diagram. Necessary and sufficient conditions are given in the continuously differentiable case. The theory is applied to linear coarse grainings arising from partitioning the population space of a simple Genetic Algorithm (GA). Cases considered in...

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Hauptverfasser: Rowe, Jonathan E., Vose, Michael D., Wright, Alden H.
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description Coarse graining is defined in terms of a commutative diagram. Necessary and sufficient conditions are given in the continuously differentiable case. The theory is applied to linear coarse grainings arising from partitioning the population space of a simple Genetic Algorithm (GA). Cases considered include proportional selection, binary tournament selection, and mutation. A nonlinear coarse graining for ranking selection is also presented. Within the context of GAs, the primary contribution made is the introduction and illustration of a technique by which the possibility for coarse grainings may be analyzed. A secondary contribution is that a number of new coarse graining results are obtained.
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subjects Algorithmics. Computability. Computer arithmetics
Applied sciences
Coarse Graining
Computer science
control theory
systems
Equivalence Class
Equivalence Relation
Exact sciences and technology
Genetic Algorithm
Simple Genetic Algorithm
Theoretical computing
title Coarse Graining Selection and Mutation
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