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R: Definition of nested experimental design sets for...

NestedDesign

R Documentation

Definition of nested experimental design sets for Multi-Fidelity Cokriging models

Description

Build an object of class S3 ("NestDesign") defining nested experimental design sets used to build multi-fidelity Cokriging models.

Usage

	NestedDesign(x, nlevel , indices = NULL, n = NULL)

Arguments

`x`	a matrix representing the experimental design set of the code level 1.
`nlevel`	an integer representing the number of code levels.
`indices`	a list of vectors. The ith element of the list contains the indices of the points in the experimental design set of the level i-1 constituting the experimental design set of the level i. If `indices = NULL` they are randomly sampled according to the number of observations defining in `n`.
`n`	a vector containing the number of observations at level k=2,...,nlevel. It is not taking into account if `indices` is different from `NULL`.

Details

The procedure does not change the experimental design set of the highest code level. During the procedure, the points of D_{k-1} the closest to those of D_k with k=2,...,nlevel are removed and they are replaced by the points of D_k . Thus, the length of the final D_{k-1} could be larger than the one of the initial D_{k-1}. (see "MuFicokm")

Value

an object of class ("NestDesign") representing a nested experimental design set.

Author(s)

Loic Le Gratiet

References

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

Examples

#-- Nested Experimental design sets
	dimension <- 3
	nD1 <- 100
	nD2 <- 50		
	nD3 <- 20
	set.seed(1);D1 <- matrix(runif(n=nD1*dimension, 0,1),ncol=dimension)
	NestDesign <- NestedDesign(D1, nlevel=3 , n = c(nD2,nD3))

Results


R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(MuFiCokriging)
Loading required package: DiceKriging
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/MuFiCokriging/NestedDesign.Rd_%03d_medium.png", width=480, height=480)
> ### Name: NestedDesign
> ### Title: Definition of nested experimental design sets for Multi-Fidelity
> ###   Cokriging models
> ### Aliases: NestedDesign
> 
> ### ** Examples
> 
> #-- Nested Experimental design sets
> 	dimension <- 3
> 	nD1 <- 100
> 	nD2 <- 50		
> 	nD3 <- 20
> 	set.seed(1);D1 <- matrix(runif(n=nD1*dimension, 0,1),ncol=dimension)
> 	NestDesign <- NestedDesign(D1, nlevel=3 , n = c(nD2,nD3))
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>