As we have already known that the correct number of clusters is 2, propose a reasonable way using the quantities evaluated from your code (e.g. I(X, X˜),hd(x, x˜)ip(x,x˜), the Lagrange function, e?
a) Perform a k-means clustering algorithm
b) Perform hierarchical clustering
c) Perform DBSCAN clustering
d) Perform spectral clustering