One-Point Geometric Crossover
نویسنده
چکیده
Uniform crossover for binary strings has a natural geometric interpretation that allows us to generalize it rigorously to any search space endowed with a notion of distance and any representation [6]. In this paper, we present an analogous characterization for one-point crossover and explicitly derive formally specific one-point crossovers for a number of well-known representations.
منابع مشابه
Polynomial Approximation of Survival Probabilities Under Multi-point Crossover
We propose an analytic approach to approximate the survival probabilities of schemata under multi-point crossover and obtain its closed form. It gives a convenient way to mathematically analyze the disruptiveness of multi-point crossover. Based on the approximation, we describe a geometric property of the survival probability under multi-point crossover and show the relationship between the sur...
متن کاملGeometric Crossover for Permutations with Repetitions: Applications to Graph Partitioning
Geometric crossover is a representation-independent generalization of the traditional crossover defined using the distance of the solution space. By choosing a distance firmly rooted in the syntax of the solution representation as basis for geometric crossover, one can design new crossovers for any representation. In previous work we have applied geometric crossover to simple permutations. In t...
متن کاملCycle Crossover for Permutations with Repetitions Application to Graph Partitioning Technical Report CSM-454
Geometric crossover is a representation-independent generalisation of the traditional crossover defined using the distance of the solution space. By choosing a distance firmly rooted in the syntax of the solution representation as basis for geometric crossover, one can design new crossovers for any representation. In previous work, we have applied geometric crossover to simple permutations. In ...
متن کاملGeometric Crossovers for Multiway Graph Partitioning
Geometric crossover is a representation-independent generalization of the traditional crossover defined using the distance of the solution space. By choosing a distance firmly rooted in the syntax of the solution representation as a basis for geometric crossover, one can design new crossovers for any representation. Using a distance tailored to the problem at hand, the formal definition of geom...
متن کاملGeometric Semantic Crossover with an Angle-Aware Mating Scheme in Genetic Programming for Symbolic Regression
Recent research shows that incorporating semantic knowledge into the genetic programming (GP) evolutionary process can improve its performance. This work proposes an angle-aware mating scheme for geometric semantic crossover in GP for symbolic regression. The angle-awareness guides the crossover operating on parents which have a large angle between their relative semantics to the target semanti...
متن کامل