NestedX {RNAmf} | R Documentation |
Constructing nested design sets for the RNA model.
Description
The function constructs nested design sets with multiple fidelity levels
\mathcal{X}_l \subseteq \cdots \subseteq \mathcal{X}_{1}
for use in RNAmf
.
Usage
NestedX(n, d)
Arguments
n |
A vector specifying the number of design points at each fidelity level |
d |
A positive integer specifying the dimension of the design. |
Details
The procedure replace the points of lower level design \mathcal{X}_{l-1}
with the closest points from higher level design \mathcal{X}_{l}
.
The length of \mathcal{X}_{l-1}
may be larger than the user specified size.
For details, see "NestedDesign
".
Value
A list containing the nested design sets at each level, i.e., \mathcal{X}_{1}, \ldots, \mathcal{X}_{l}
.
References
L. Le Gratiet and J. Garnier (2014). Recursive co-kriging model for design of computer experiments with multiple levels of fidelity. International Journal for Uncertainty Quantification, 4(5), 365-386; doi:10.1615/Int.J.UncertaintyQuantification.2014006914
Examples
### number of design points ###
n1 <- 30
n2 <- 15
### dimension of the design ###
d <- 2
### fix seed to reproduce the result ###
set.seed(1)
### generate the nested design ###
NX <- NestedX(c(n1, n2), d)
### visualize nested design ###
plot(NX[[1]], col="red", pch=1, xlab="x1", ylab="x2")
points(NX[[2]], col="blue", pch=4)