kmCok: Construction of kriging models included in Multi-Fidelity...

Description Usage Arguments Value Author(s) References See Also

Description

An internal function used to build kriging models included in the multi-fidelity cokriging models.

Usage

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kmCok(	formula = ~1, design, response, formula.rho = ~1, Z = NULL, 
		covtype = "matern5_2", coef.trend = NULL, coef.cov = NULL, 
		coef.var = NULL, nugget = NULL, nugget.estim = FALSE, 
		noise.var = NULL, estim.method="MLE", penalty = NULL, 
		optim.method = "BFGS", lower = NULL, upper = NULL, parinit = NULL, 
		control = NULL, gr = TRUE, iso = FALSE, scaling = FALSE, knots = NULL)

Arguments

formula.rho

an object of class ("formula") specifying the linear trends of the adjustment coefficients. This formula should concern only the input variables, and not the output (response). If there is any, it is automatically dropped. The default is ~1, which defines a constant trend.

Z

a vector (or 1-column matrix or data frame) containing the values of the 1-dimensional output given by the function of level k at the design points of level k-1.

formula

see km

design

see km

response

see km

covtype

see km

coef.trend

see km

coef.cov

see km

coef.var

see km

estim.method

see km

nugget

see km

nugget.estim

see km

noise.var

see km

penalty

see km

optim.method

see km

lower

see km

upper

see km

parinit

see km

control

see km

gr

see km

iso

see km

scaling

see km

knots

see km

Value

An object with S4 class "kmCok" (see kmCok-class).

Author(s)

Olivier Roustant, David Ginsbourger, Ecole des Mines de St-Etienne.

Loic Le Gratiet, Universite Paris VII Denis-Diderot

References

KRIGE, D.G. (1951), A statistical approach to some basic mine valuation problems on the witwatersrand, J. of the Chem., Metal. and Mining Soc. of South Africa, 52 no. 6, 119-139.

MATHERON, G. (1969), Le krigeage universel, Les Cahiers du Centre de Morphologie Mathematique de Fontainebleau, 1.

RASMUSSEN, C.E. and WILLIAMS, C.K.I. (2006), Gaussian Processes for Machine Learning, the MIT Press, http://www.GaussianProcess.org/gpml

SANTNER, T.J., WILLIAMS, B.J. and NOTZ, W.I. (2003), The Design and Analysis of Computer Experiments, New York: Springer.

STEIN, L.M. (1999), Interpolation of Spatial Data, Springer Series in Statistics.

LE GRATIET, L. & GARNIER, J. (2012), Recursive co-kriging model for Design of Computer Experiments with multiple levels of fidelity, arXiv:1210.0686

LE GRATIET, L. (2012), Bayesian analysis of hierarchical multi-fidelity codes, arXiv:1112.5389

See Also

predict,kmCok-method


MuFiCokriging documentation built on May 2, 2019, 3:33 p.m.