Sky density distribution in equatorial coordinates of both the LMC (left) and MW (right) sample obtained from the different classifiers. First row: proper motion selection classification. Second row: Complete NN classification. Third row: optimal NN classification. Fourth row: truncated-optimal NN classification. Note: in the fourth row, we display a cut in magnitude G > 19.5 for both the LMC and MW samples and, therefore, the total number of stars is reduced.