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math.OC2020
Wasserstein Distance to Independence Models
Türkü Özlüm Çelik, Asgar Jamneshan, Guido Montúfar +2
An independence model for discrete random variables is a Segre-Veronese variety in a probability simplex. Any metric on the set of joint states of the random variables induces a Wa…
math.OC2019
Optimal Transport to a Variety
T. Ö. Çelik, A. Jamneshan, G. Montúfar +2
We study the problem of minimizing the Wasserstein distance between a probability distribution and an algebraic variety. We consider the setting of finite state spaces and describe…