Generalizing the notion of schema in genetic algorithms
Artificial Intelligence
Adaptation in natural and artificial systems
Adaptation in natural and artificial systems
The Simple Genetic Algorithm: Foundations and Theory
The Simple Genetic Algorithm: Foundations and Theory
GECCO '02 Proceedings of the Genetic and Evolutionary Computation Conference
Form Invariance and Implicit Parallelism
Evolutionary Computation
Proceedings of the 8th annual conference on Genetic and evolutionary computation
EC theory: a unified viewpoint
GECCO'03 Proceedings of the 2003 international conference on Genetic and evolutionary computation: PartII
Sufficient conditions for coarse-graining evolutionary dynamics
FOGA'07 Proceedings of the 9th international conference on Foundations of genetic algorithms
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Following the work of Stephens and coworkers on the coarse-grained dynamics of genetic systems, we work towards a possible generalisation in the context of genetic algorithms, giving as examples schemata, genotype-phenotype mappings, and error classes in the Eigen model. We discuss how the dynamics transforms under a coarse-graining, comparing and contrasting different notions of invariance. We work out some examples in the two-bit case, to illustrate the ideas and issues.We then find a bound for the SelectionWeighted Linkage Disequilibrium Coefficient for the two-bit onemax problem.