Search results
Results from the WOW.Com Content Network
IRFk-kriging assumes {()} to be an unknown polynomial in . Indicator kriging uses indicator functions instead of the process itself, in order to estimate transition probabilities. Multiple-indicator kriging is a version of indicator kriging working with a family of indicators. Initially, MIK showed considerable promise as a new method that ...
In fact, both universal kriging, kriging with external drift, and regression-kriging are basically the same technique. Matheron (1969) originally termed the technique Le krigeage universel , however, the technique was intended as a generalized case of kriging where the trend is modelled as a function of coordinates.
One is thus making a distinction between the experimental variogram that is a visualization of a possible spatial/temporal correlation and the variogram model that is further used to define the weights of the kriging function. Note that the experimental variogram is an empirical estimate of the covariance of a Gaussian process.
Gradient-enhanced kriging (GEK) is a surrogate modeling technique used in engineering. A surrogate model (alternatively known as a metamodel , response surface or emulator) is a prediction of the output of an expensive computer code. [ 1 ]
Most engineering design problems require experiments and/or simulations to evaluate design objective and constraint functions as a function of design variables. For example, in order to find the optimal airfoil shape for an aircraft wing, an engineer simulates the airflow around the wing for different shape variables (e.g., length, curvature ...
Kriging; Gradient-enhanced kriging (GEK) Thin plate spline; Polyharmonic spline (the thin-plate-spline is a special case of a polyharmonic spline) Radial basis function (Polyharmonic splines are a special case of radial basis functions with low degree polynomial terms) Least-squares spline; Natural neighbour interpolation
Kriging is a group of geostatistical techniques to interpolate the value of a random field (e.g., the elevation, z, of the landscape as a function of the geographic location) at an unobserved location from observations of its value at nearby locations.
where is the gamma function, is the modified Bessel function of the second kind, and ρ and are positive parameters of the covariance. A Gaussian process with Matérn covariance is ⌈ ν ⌉ − 1 {\displaystyle \lceil \nu \rceil -1} times differentiable in the mean-square sense.