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...

We present a study on hyperon/anti-hyperon production asymmetries in the framework of the recombination model. The production asymmetries for Λ/Λ̄, Ξ/Ξ and Ω/Ω are studied as a function of xF . Predictions of the model are compared to preliminary data on hyperon/anti-hyperon production asymmetries in 500 GeV/c π−p interactions from the Fermilab E791 experiment. The model predicts a growing asymm...

Segregation of homologous chromosomes during meiosis I depends on appropriately positioned crossovers/chiasmata. Crossover assurance ensures at least one crossover per homolog pair, while interference reduces double crossovers. Here, we have investigated the interplay between chromosome axis morphogenesis and non-random crossover placement. We demonstrate that chromosome axes are structurally m...

This paper introduces two new representations for real-parameter spaces—the Dedekind and Isodedekind representations. Point mutation and uniform crossover—in their generalised, representation-independent form—are shown, when instantiated with respect to these representations, to give rise to familiar operators for continuous domains, such as gaussian mutation, blend crossover and line recombina...

In this paper, we propose a new operation, Generalised Sequential Crossover (GSCO) of words, which in some sense an abstract model of crossing over of the chromosomes in the living organisms. We extend GSCO over language L iteratively (GSCO∗(L) as well as iterated GSCO over two languages GSCO∗(L1, L2)). Our study reveals that GSCO ∗(L) is subclass of regular languages for any L. We compare the ...

We present a study on hyperon/anti-hyperon production asymmetries in the framework of the recombination model. The production asymmetries for Λ/Λ̄, Ξ/Ξ and Ω/Ω are studied as a function of xF . Predictions of the model are compared to preliminary data on hyperon/anti-hyperon production asymmetries in 500 GeV/c π−p interactions from the Fermilab E791 experiment. The model predicts a growing asymm...

Hedayat and Yang earlier proved that balanced uniform designs in the entire class of crossover designs based on t treatments, n subjects, and pD t periods are universally optimal when n· t .t ¡ 1/=2. Surprisingly, in the class of crossover designs with t treatments and p D t periods, a balanced uniform design may not be universally optimal if the number of subjects exceeds t .t ¡ 1/=2. This art...

The thermodynamic properties of a one-dimensional spin-crossover molecular chain under constant external pressure are investigated. effective compressible degenerate Ising model is used as theoretical basis. Analytical results for the crossover from low to high spin obtained using transfer matrix formalism. Exact expressions fraction molecules in high-spin state, correlation function, and heat ...

In this paper we study and compare the search properties of diierent crossover operators in genetic programming (GP) using probabilistic models and experiments to assess the amount of genetic material exchanged between the parents to generate the oospring. These operators are: standard crossover, one-point crossover and a new operator, uniform crossover. Our analysis suggests that standard cros...