Recombination is a common event in nature, with examples in physics, chemistry, and biology. This process is characterized by the spontaneous reorganization of structural units to form new entities. Upon reorganization, the complexity of the overall system can change. In particular the components of the system can now experience a new response to externally applied selection criteria, such that...

We introduce the concept of generalization for models of functional neuroactivation, and show how it is aaected by the number, N, of neuroimaging scans available. By plotting generalization as a function of N (i.e. a \learning curve") we demonstrate that while simple, linear models may generalize better for small N's, more exible, low-biased nonlinear models, based on artiicial neural networks ...

The quadratic assignment problem aims to find an optimal assignment of a set of facilities to a set of locations that minimizes an objective function depending on the flow between facilities and the distance between locations. In this paper we investigate a Genetic Algorithm (GA) using new crossover operators to guide the search towards unexplored regions of the search space. First we define a ...

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 ...

Biped robot locomotion is one of the active research areas in robotics. In this area, real-time stable walking with proper speed is one of the main challenges that needs to be overcome. Central Pattern Generators (CPG) as one of the biological gait generation models, can produce complex nonlinear oscillation as a pattern for walking. In this paper, we propose a model for a biped robot joint tra...

In crossover design experiments, the proportional model, where the carryover effects are proportional to their direct treatment effects, has draw attentions in recent years. We discover that the universally optimal design under the traditional model is E-optimal design under the proportional model. Moreover, we establish equivalence theorems of Kiefer-Wolfowitz’s type for four popular optimalit...

In this study, a new crossover sine model (CSM) n was developed from a trigonometric model [M. E. Fisher, S. Zinn, and P. J. Upton, Phys. Rev. B 59, 14533 (1999)]. The trigonometric model is a parametric formulation model that is used to represent the thermodynamic variables near a critical point. Although there are other crossover models based on this trigonometric model, such as the CSM and t...

In the last decade a lot of effort has been invested into both theoretical and experimental analysis of sat phase transition. However, a deep theoretical understanding of this phenomenon is still lacking. It is still a very challenging problem to determine a relationship between crossover points for different sat problems. This paper introduces one new class of randomly generated sat problems, ...

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.