f <- function(x) 1 - 1 / 2 * (sin(12 * x) / (1 + x) + 2 * cos(7 * x) * x^5 + 0.7)
X <- as.matrix(seq(0.05, 0.95, length.out = 10))
y <- f(X)
wk <- WarpKriging(y, X, warping = "kumaraswamy", kernel = "gauss", optim = "BFGS")
x <- as.matrix(seq(0, 1, length.out = 101))
p <- wk$predict(x, return_stdev = TRUE)
plot(f)
points(X, y, col = "blue", pch = 16)
lines(x, p$mean, col = "blue")
polygon(c(x, rev(x)), c(p$mean - 2 * p$stdev, rev(p$mean + 2 * p$stdev)),
border = NA, col = rgb(0, 0, 1, 0.2))
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