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# function to get the Gaussian kernel
gaussiankernel = function(X) {
n = nrow(X)
Dx = dist(X)^2
sigma = median(Dx)
if (sigma == 0) {
sigma = sigma + 0.1
}
K = exp(-as.matrix(Dx)/sigma/2) - diag(n) # kernel matrix
return(K)
}
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