Pure Crossovers Definition, Their Relation to Geiringer’s Theorem for Finite Populations and Practical Value
نویسندگان
چکیده
Motivated by a practical interpretation of the Geiringer’s theorem, we define the class of “Pure Crossovers” independently of the solution representation used and explain why they are important for both theorists and practitioners. We then give a geometric characterization of this class of operators and prove some general properties common to all pure crossovers.
منابع مشابه
On the Search Biases of Homologous Crossover in Linear Genetic Programming and Variable-length Genetic Algorithms
With a schema-theoretic approach and experiments we study the search biases produced by GP/GA homologous crossovers when applied to linear, variable-length representations. By specialising the schema theory for homologous crossovers we show that these operators are unbiased with respect to string length. Then, we provide a fixed point for the schema evolution equations where the population pres...
متن کاملOn The Search Biases Of Homologuous Crossover In Linear Genetic Programming And Variable-length Genetic Algorithms
In this paper we study with a schema-theoretic approach and experiments the search biases produced by GP/GA homologous crossovers when applied to linear, variable-length representations. By specialising the schema theory for homologous crossovers we show that these operators are totally unbiased with respect to string length. Then, we provide a fixed point for the schema evolution equations whe...
متن کاملThe uniqueness theorem for inverse nodal problems with a chemical potential
In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.
متن کاملThe Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points
In this paper, linear second-order differential equations of Sturm-Liouville type having a finite number of singularities and turning points in a finite interval are investigated. First, we obtain the dual equations associated with the Sturm-Liouville equation. Then, we prove the uniqueness theorem for the solutions of dual initial value problems.
متن کاملSeveral new results based on the study of distance measures of intuitionistic fuzzy sets
It is doubtless that intuitionistic fuzzy set (IFS) theory plays an increasingly important role in solving the problems under uncertain situation. As one of the most critical members in the theory, distance measure is widely used in many aspects. Nevertheless, it is a pity that part of the existing distance measures has some drawbacks in practical significance and accuracy. To make up for their...
متن کامل