3 citations · 4 across the 6 of their papers we have counts for
8 papers
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…
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…
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…
-optimal transport for a class of quasiconvex cost functions
Camilla Brizzi, Luigi De Pascale, Anna Kausamo
We consider the -optimal mass transportation problem \[ \min_{Π(μ, ν)} γ-\mathrm{ess\,sup\,} c(x,y), \] for a new class of costs for which we introduce a tentati…
On deterministic solutions for multi-marginal optimal transport with Coulomb cost
Ugo Bindini, Luigi De Pascale, Anna Kausamo
In this paper we study the three-marginal optimal mass transportation problem for the Coulomb cost on the plane . The key question is the optimality of the so-called Seidl ma…
Multi-marginal Entropy-Transport with repulsive cost
Augusto Gerolin, Anna Kausamo, Tapio Rajala
In this paper we study theoretical properties of the entropy-transport functional with repulsive cost functions. We provide sufficient conditions for the existence of a minimizer i…
Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces
Augusto Gerolin, Anna Kausamo, Tapio Rajala
In this paper we extend the duality theory of the multi-marginal optimal transport problem for cost functions depending on a decreasing function of the distance (not necessarily bo…
Non-existence of optimal transport maps for the multi-marginal repulsive harmonic cost
Augusto Gerolin, Anna Kausamo, Tapio Rajala
We give an example of an absolutely continuous measure on , for any , such that no minimizer of the -marginal harmonic repulsive cost with all marginal…