#' @title Sample weights
#'
#' @description Sample random weights \eqn{\lambda_1, ... \lambda_n, \sum_{i=1}^{n} \lambda_i = 1}
#' for weighted-sum scalarization.
#'
#' @param n [\code{integer(1)}]\cr
#' Number of weights to sample.
#' @return [\code{numeric}] Weight vector.
#' @examples
#' sampleWeights(2)
#'
#' weights = replicate(10, sampleWeights(3L))
#' colSums(weights)
#' @export
sampleWeights = function(n) {
n = asInt(n, lower = 2L)
lambdas = numeric(n)
max.val = 1
for (i in 1:(n - 1L)) {
lambdas[i] = runif(1L, max = max.val)
max.val = max.val - lambdas[i]
}
lambdas[n] = max.val
return(lambdas)
}
#' @title Scalarize weight matrizes.
#'
#' @description Given a list of weight matrizes \code{weight.mats} and a vector
#' of numeric weights, the function returns a single weight matrix. Each component
#' of the resulting matrix is the weighted sum of the corresponding components of
#' the weight matrizes passed.
#'
#' @param weight.mats [\code{list}]\cr
#' List of weight matrizes.
#' @param lambdas [\code{numeric}]\cr
#' Vector of weights.
#' @return [\code{matrix}]
#' @export
scalarizeWeights = function(weight.mats, lambdas) {
assertList(weight.mats, types = "matrix")
assertNumeric(lambdas, lower = 0, upper = 1, any.missing = FALSE, all.missing = FALSE)
n = length(weight.mats)
if (n != length(lambdas))
stopf("scalarize: number of objectives not equal to number of lambda values!")
# accumulated values
acc = matrix(0, nrow = nrow(weight.mats[[1L]]), ncol = ncol(weight.mats[[1L]]))
for (i in 1:n) {
acc = acc + lambdas[i] * weight.mats[[i]]
}
return(acc)
}
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