Metamodelling offers an efficient way to imitate the behaviour of computationally expensive simulators. Kriging based metamodels are popular in approximating computation-intensive simulations of deterministic nature. Irrespective of the existence of various variants of Kriging in the literature, only a handful of Kriging implementations are publicly available and most, if not all, free librarie...

The simulation of turbulent flows including active flow control devices, such as synthetic jets, is still a difficult task. Numerical parameters (grid size, time step, etc.) may have a significant influence on the result, while the choice of the turbulence closure is often critical. In this context, we investigate the use of a Kriging-based global optimization method to determine optimal contro...

This paper describes a combination approach of a digital finite element modeling technique and the Kriging method for structural optimization. Since the digital modeling technique includes some inaccuracies in a modeling process, applicability of the Kriging method to noisy data is investigated. An estimated surface generated by the conventional Kriging method will be wavy and not appropriate t...

Maps are useful scientific tools for presenting environmental information, but the statistical techniques necessary to prepare scientifically rigorous maps have primarily focused on terrestrial habitats. This study compares three popular techniques (triangulation, kriging, and co-kriging) to map sediment grain size in Santa Monica Bay, California. Two grain size data sets, one collected in 1994...

Abstract We develop a new methodology for the multi‐resolution assimilation of electric fields by extending Gaussian process model (Lattice Kriging) used scalar field originally to vector field. This method takes background empirical as “a priori” knowledge and fuses real observations under framework. The comparison assimilated results two different models three resolutions suggests that (a) si...

The combination of Proper Orthogonal Decomposition (POD) with Kriging has been shown to be a reliable choice for the development Reduced-Order Models (ROMs) prediction combustion data at unexplored operating conditions. In this study, POD is combined Polynomial Chaos Expansion (PCE), PCE and (PC-Kriging) Artificial Neural Networks (ANN) ROM that can predict 2D Non-negative Matrix Factorization ...

Compared to the classical cryptography, lattice-based cryptography is more secure, flexible and simple, and it is believed to be secure against quantum computers. In this paper, an efficient signature scheme is proposed from the ring learning with errors (R-LWE), which avoids sampling from discrete Gaussians and has the characteristics of the much simpler description etc. Then, the scheme is im...

Ž . Using spatial simulated annealing SSA , spatial sampling schemes can be optimised for minimal kriging variance. Two optimisation criteria are presented in this paper. The first criterion minimises the average kriging variance, the second the maximum kriging variance. In a simple case with 23 observations, performances of a sampling scheme obtained with SSA were compared with performances of...