C o n v e x Clustering w i t h Convex Clustering with ExemplarBased Models (M17) Danial Lashkari, Polina Golland p - empirical distribution ^ · Convex formulation ­ Guaranteed convergence to global optimum q = arg min D( p q ) ^ * qQ · Exemplarbased models ­ Probabilistic mapping of data to exemplars Q - convex hull of exemplar-centered models MIT Computer Science and Artificial Intelligence Laboratory