14 citations · 15 across the 2 of their papers we have counts for
4 papers · 1 filter
A Rockafellar Theorem for cyclically quasi-monotone maps: the regular non-vanishing case
Luigi De Pascale, Paul Pegon
We study the connection between cyclic quasi-monotonicity and quasi-convexity, focusing on whether every cyclically quasi-monotone (possibly multivalued) map is included in the nor…
Convergence rates for regularized unbalanced optimal transport: the discrete case
Luca Nenna, Paul Pegon, Louis Tocquec
Unbalanced optimal transport (UOT) is a natural extension of optimal transport (OT) allowing comparison between measures of different masses. It arises naturally in machine learnin…
On the Lagrangian branched transport model and the equivalence with its Eulerian formulation
Paul Pegon
First we present two classical models of Branched Transport: the Lagrangian model introduced by Bernot, Caselles, Morel, Maddalena, Solimini, and the Eulerian model introduced by X…
A fractal shape optimization problem in branched transport
Paul Pegon, Filippo Santambrogio, Qinglan Xia
We investigate the following question: what is the set of unit volume which can be best irrigated starting from a single source at the origin, in the sense of branched transport? W…