14 citations · 21 across the 10 of their papers we have counts for
10 papers · 1 filter
First-order -expansion for entropic optimal transport with non-degenerate costs
Luca Nenna, Brendan Pass, Paul Pegon +1
Entropy-regularized optimal transport (EOT) has become a key tool in optimal transport, providing both theoretical insight and efficient computation via the Sinkhorn algorithm. We…
A Rockafellar theorem for cyclically quasi-monotone maps: The regular non-vanishing case
Luigi De Pascale, Paul Pegon
In this paper, we study the connection between cyclic quasi-monotonicity and quasi-convexity, focusing on whether every cyclically quasi-monotone (possibly multi-valued) map is inc…
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…
Optimal quantization with branched optimal transport distances
Paul Pegon, Mircea Petrache
We consider the problem of optimal approximation of a target measure by an atomic measure with atoms, in branched optimal transport distance. This is a new branched transport v…
Convergence rate of entropy-regularized multi-marginal optimal transport costs
Luca Nenna, Paul Pegon
We investigate the convergence rate of multi-marginal optimal transport costs that are regularized with the Boltzmann-Shannon entropy, as the noise parameter tends to…
Convergence rate of general entropic optimal transport costs
Guillaume Carlier, Paul Pegon, Luca Tamanini
We investigate the convergence rate of the optimal entropic cost to the optimal transport cost as the noise parameter . We show that for a…
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…
Full characterization of optimal transport plans for concave costs
Paul Pegon, Davide Piazzoli, Filippo Santambrogio
This paper slightly improves a classical result by Gangbo and McCann (1996) about the structure of optimal transport plans for costs that are concave functions of the Euclidean dis…
Optimal transportation with an oscillation-type cost: the one-dimensional case
Didier Lesesvre, Paul Pegon, Filippo Santambrogio
The main result of this paper is the existence of an optimal transport map between two given measures and , for a cost which considers the maximal oscillation of at…