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math.OC2019
Weak optimal total variation transport problems and generalized Wasserstein barycenters
Nhan-Phu Chung, Thanh-Son Trinh
In this paper, we establish a Kantorovich duality for weak optimal total variation transport problems. As consequences, we recover a version of duality formula for partial optimal…
math.OC2019
Barycenters in the Hellinger-Kantorovich space
Nhan-Phu Chung, Minh-Nhat Phung
Recently, Liero, Mielke and Savaré introduced Hellinger-Kantorovich distance on the space of nonnegative Radon measures of a metric space [19,20]. We prove that Hellinger-Kanto…