Topological crossover for the permutation representation
GECCO '05 Proceedings of the 7th annual workshop on Genetic and evolutionary computation
Geometry of Cuts and Metrics
Geometric crossover for biological sequences
EuroGP'06 Proceedings of the 9th European conference on Genetic Programming
Geometric particle swarm optimisation on binary and real spaces: from theory to practice
Proceedings of the 9th annual conference companion on Genetic and evolutionary computation
Geometric particle swarm optimization for the sudoku puzzle
Proceedings of the 9th annual conference on Genetic and evolutionary computation
Effects of the use of non-geometric binary crossover on evolutionary multiobjective optimization
Proceedings of the 9th annual conference on Genetic and evolutionary computation
Geometric particle swarm optimization
Journal of Artificial Evolution and Applications - Particle Swarms: The Second Decade
Inertial geometric particle swarm optimization
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
Inbreeding properties of geometric crossover and non-geometric recombinations
FOGA'07 Proceedings of the 9th international conference on Foundations of genetic algorithms
Geometric particle swarm optimisation
EuroGP'07 Proceedings of the 10th European conference on Genetic programming
Multi-objective Genetic Algorithms for grouping problems
Applied Intelligence
Diversity improvement by non-geometric binary crossover in evolutionary multiobjective optimization
IEEE Transactions on Evolutionary Computation
Geometry of evolutionary algorithms
Proceedings of the 13th annual conference companion on Genetic and evolutionary computation
Runtime analysis of convex evolutionary search
Proceedings of the 14th annual conference on Genetic and evolutionary computation
Geometry of evolutionary algorithms
Proceedings of the 14th annual conference companion on Genetic and evolutionary computation
Geometric differential evolution for combinatorial and programs spaces
Evolutionary Computation
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Geometric crossover is a representation-independent definition of crossover based on the distance of the search space interpreted as a metric space. It generalizes the traditional crossover for binary strings and other important recombination operators for the most frequently used representations. Using a distance tailored to the problem at hand, the abstract definition of crossover can be used to design new problem specific crossovers that embed problem knowledge in the search. In this paper, we introduce the important notion of product geometric crossover that allows to build new geometric crossovers combining pre-existing geometric crossovers in a simple way.