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library(BART)
##simulate from Friedman's five-dimensional test function
##Friedman JH. Multivariate adaptive regression splines
##(with discussion and a rejoinder by the author).
##Annals of Statistics 1991; 19:1-67.
f = function(x) #only the first 5 matter
sin(pi*x[ , 1]*x[ , 2]) + 2*(x[ , 3]-.5)^2+x[ , 4]+0.5*x[ , 5]-1.5
sigma = 1.0 #y = f(x) + sigma*z where z~N(0, 1)
P = 100 #number of covariates
C = 8
thin <- c(10, 50, 250)
par(mfrow=c(3, 1))
post <- as.list(1:3)
for(i in 1:3) {
N <- 10^(1+i)
set.seed(12)
x.train=matrix(runif(N*P), N, P)
Ey.train = f(x.train)
y.train=((Ey.train+sigma*rnorm(N))>0)*1
post[[i]] = mc.lbart(x.train, y.train, mc.cores=C,
keepevery=1, sparse=TRUE, seed=99)
plot(post[[i]]$varprob.mean, col=c(rep(2, 5), rep(1, P-5)),
main=paste0('N:', N, ', P:', P, ', thin:', thin[i]),
ylab='Selection Probability', ylim=c(0, 0.2),
pch=1+45*(post[[i]]$varprob.mean <= 1/P))
lines(c(0, 100), c(1/P, 1/P))
table(1+45*(post[[i]]$varprob.mean <= 1/P))
}
par(mfrow=c(1, 1))
##dev.copy2pdf(file='sparse-lbart.pdf')
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