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This function packs GP emulators and DGP emulators into a bundle class for sequential designs if each emulator emulates one output dimension of the underlying simulator.

Usage

pack(..., id = NULL)

Arguments

...

a sequence or a list of emulators produced by gp() or dgp().

id

an ID to be assigned to the bundle emulator. If an ID is not provided (i.e., id = NULL), a UUID (Universally Unique Identifier) will be automatically generated and assigned to the emulator. Default to NULL.

Value

An S3 class named bundle to be used by design() for sequential designs. It has:

  • a slot called id that is assigned through the id argument.

  • N slots named emulator1,...,emulatorN, each of which contains a GP or DGP emulator, where N is the number of emulators that are provided to the function.

  • a slot called data which contains two elements X and Y. X contains N matrices named emulator1,...,emulatorN that are training input data for different emulators. Y contains N single-column matrices named emulator1,...,emulatorN that are training output data for different emulators.

Details

See further examples and tutorials at https://mingdeyu.github.io/dgpsi-R/.

Examples

if (FALSE) { # \dontrun{

# load packages and the Python env
library(lhs)
library(dgpsi)

# construct a function with a two-dimensional output
f <- function(x) {
 y1 = sin(30*((2*x-1)/2-0.4)^5)*cos(20*((2*x-1)/2-0.4))
 y2 = 1/3*sin(2*(2*x - 1))+2/3*exp(-30*(2*(2*x-1))^2)+1/3
 return(cbind(y1,y2))
}

# generate the initial design
X <- maximinLHS(10,1)
Y <- f(X)

# generate the validation data
validate_x <- maximinLHS(30,1)
validate_y <- f(validate_x)

# training a 2-layered DGP emulator with respect to each output with the global connection off
m1 <- dgp(X, Y[,1], connect=F)
m2 <- dgp(X, Y[,2], connect=F)

# specify the range of the input dimension
lim <- c(0, 1)

# pack emulators to form an emulator bundle
m <- pack(m1, m2)

# 1st wave of the sequential design with 10 steps with target RMSE 0.01
m <- design(m, N=10, limits = lim, f = f, x_test = validate_x, y_test = validate_y, target = 0.01)

# 2rd wave of the sequential design with 10 steps, the same target, and the aggregation
# function that takes the average of the criterion scores across the two outputs
g <- function(x){
  return(rowMeans(x))
}
m <- design(m, N=10, limits = lim, f = f, x_test = validate_x,
                    y_test = validate_y, aggregate = g, target = 0.01)

# draw sequential designs of the two packed emulators
draw(m, emulator = 1, type = 'design')
draw(m, emulator = 2, type = 'design')

# inspect the traces of RMSEs of the two packed emulators
draw(m, emulator = 1, type = 'rmse')
draw(m, emulator = 2, type = 'rmse')

# write and read the constructed emulator bundle
write(m, 'bundle_dgp')
m <- read('bundle_dgp')

# unpack the bundle into individual emulators
m_unpacked <- unpack(m)

# plot OOS validations of individual emulators
plot(m_unpacked[[1]], x_test = validate_x, y_test = validate_y[,1])
plot(m_unpacked[[2]], x_test = validate_x, y_test = validate_y[,2])
} # }