Question 16: Under Gaussian Mixture Models (GMMs) each data point can belong to multiple clusters at the same time. True/False?

Question 17: The parameters of the Gaussian Mixture Models (GMMs) are learned by maximizing the likelihood of the training data using the gradient descent algorithm. True/False?

Question 18: The EM algorithm can only be used to estimate the parameters of mixture models. True/False?

Question 19: Suppose we clustered a set of N data points using two different clustering algorithms: k-means and Gaussian mixtures. In both cases we obtained 5 clusters and in both cases the centers of the clusters are exactly the same. The question asks about the assignment of points to clusters in the two methods.

Question 20: The KL-divergence is a perfect distance metric. True/False? This question also asks for an explanation in no more than two lines.