Generalizing the notion of schema in genetic algorithms
Artificial Intelligence
The Simple Genetic Algorithm: Foundations and Theory
The Simple Genetic Algorithm: Foundations and Theory
Network random keys: a tree representation scheme for genetic and evolutionary algorithms
Evolutionary Computation
Group properties of crossover and mutation
Evolutionary Computation
A New Interpretation of Schema Notation that Overtums the Binary Encoding Constraint
Proceedings of the 3rd International Conference on Genetic Algorithms
A Fixed Point Analysis Of A Gene Pool GA With Mutation
GECCO '02 Proceedings of the Genetic and Evolutionary Computation Conference
GECCO '02 Proceedings of the Genetic and Evolutionary Computation Conference
Crossover Invariant Subsets of the Search Space for Evolutionary Algorithms
Evolutionary Computation
Schemata evolution and building blocks
Evolutionary Computation
Crossover Invariant Subsets of the Search Space for Evolutionary Algorithms
Evolutionary Computation
An Extension of Geiringer's Theorem for a Wide Class of Evolutionary Search Algorithms.
Evolutionary Computation
NP-Completeness of deciding binary genetic encodability
FOGA'05 Proceedings of the 8th international conference on Foundations of Genetic Algorithms
FOGA'05 Proceedings of the 8th international conference on Foundations of Genetic Algorithms
An extension of geiringer's theorem for a wide class of evolutionary search algorithms
Evolutionary Computation
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In the current paper a rigorous mathematical language for comparing evolutionary computation techniques via their representation is developed. A binary semi-genetic algorithm is introduced, and it is proved that in a certain sense any reasonable evolutionary search algorithm can be re-encoded by a binary semi-genetic algorithm (see corollaries 15 and 16). Moreover, an explicit bijection between the set of all such re-encodings and the collection of certain n-tuples of invariant subsets is constructed (see theorem 14). Finally, all possible re-encodings of a given heuristic search algorithm by a classical genetic algorithm are entirely classified in terms of invariant subsets of the search space in connection with Radcliffe's forma (see [9] and theorem 20).