III. Answer the following two questions with details. (10 points) 3.1. Suppose we clustered a set of N data points using
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III. Answer the following two questions with details. (10 points) 3.1. Suppose we clustered a set of N data points using
III. Answer the following two questions with details. (10 points) 3.1. 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. Can 3 points that are assigned to different clusters in the k-means solution be assigned to the same cluster in the Gaussian mixture solution? If no, explain. If so, sketch an example or explain in 1-2 sentences. Answer:
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