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math.OC2025
A regularized transportation cost stemming from entropic approximation
Camilla Brizzi, Luigi De Pascale, Anna Kausamo
We study the entropic regularizations of optimal transport problems under suitable summability assumptions on the point-wise transport cost. These summability assumptions already a…
math.OC2023★ 3 cited
60 years of cyclic monotonicity: a survey
L. De Pascale, A. Kausamo, K. Wyczesany
The primary purpose of this note is to provide an instructional summary of the state of the art regarding cyclic monotonicity and related notions. We will also present how these no…
math.OC2022★ 1 cited
Sufficiency of -cyclical monotonicity in a class of multimarginal optimal transport problems
Luigi De Pascale, Anna Kausamo
-cyclical monotonicity is the most important optimality condition for an optimal transport plan. While the proof of necessity is relatively easy, the proof of sufficiency is oft…