Least Wasserstein distance between disjoint shapes with perimeter regularization
We prove the existence of global minimizers to the double minimization problem where P (E)
denotes the perimeter of the set E, W p is the p-Wasserstein distance between Borel
probability measures, and λ> 0 is arbitrary. The result holds in all space dimensions, for all
p∈[1,∞), and for all positive λ. This answers a question of Buttazzo, Carlier, and Laborde.
denotes the perimeter of the set E, W p is the p-Wasserstein distance between Borel
probability measures, and λ> 0 is arbitrary. The result holds in all space dimensions, for all
p∈[1,∞), and for all positive λ. This answers a question of Buttazzo, Carlier, and Laborde.
[引用][C] Least Wasserstein distance between disjoint shapes with perimeter regularization
I Topaloglu - 2021 Fall Western Sectional Meeting - meetings.ams.org
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