Add to ORKGAfter introducing the general setting of multimarginal optimal transport, we present some operators designed to approximate and regularize the tansport plans by keeping the marginals fixed. As an application to the Density Functional Theory, we show how to use this technique to study the properties of the mapping from the wave-functions to the single particle marginals.Non UBCUnreviewedAuthor affiliation: Scuola Normale SuperioreGraduat
International audienceOptimal Transport (OT) problems arise in a wide range of applications, from ph...
Cette thèse comporte deux parties distinctes, toutes les deux liées à la théorie du transport optima...
Abstract. A fundamental concept in optimal transport is c-cyclical monotonicity: it allows to link t...
After introducing the general setting of multimarginal optimal transport, we present some operators ...
Over the past five years, multi-marginal optimal transport, a generalization of the well k...
In this talk, we introduce methods from convex optimization to solve the multi-marginal transport ty...
In this thesis we aim at giving a general numerical framework to approximate solutions to optimal tr...
We propose a duality theory for multi-marginal repulsive cost that appear in optimal transport probl...
Optimal transport is a powerful framework for computing distances between probability distributions....
We analyze optimal transport problems with additional entropic cost evaluated along curves in the Wa...
In this paper we extend the duality theory of the multi-marginal optimal transport problem for cost ...
Relatively recently, there has been much activity on two particular generalizations of the classical...
We analyze optimal transport problems with additional entropic cost evaluated along curves in the Wa...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
In the field of optimal transportation, one important issue is the regularity of the optimal transpo...
International audienceOptimal Transport (OT) problems arise in a wide range of applications, from ph...
Cette thèse comporte deux parties distinctes, toutes les deux liées à la théorie du transport optima...
Abstract. A fundamental concept in optimal transport is c-cyclical monotonicity: it allows to link t...
After introducing the general setting of multimarginal optimal transport, we present some operators ...
Over the past five years, multi-marginal optimal transport, a generalization of the well k...
In this talk, we introduce methods from convex optimization to solve the multi-marginal transport ty...
In this thesis we aim at giving a general numerical framework to approximate solutions to optimal tr...
We propose a duality theory for multi-marginal repulsive cost that appear in optimal transport probl...
Optimal transport is a powerful framework for computing distances between probability distributions....
We analyze optimal transport problems with additional entropic cost evaluated along curves in the Wa...
In this paper we extend the duality theory of the multi-marginal optimal transport problem for cost ...
Relatively recently, there has been much activity on two particular generalizations of the classical...
We analyze optimal transport problems with additional entropic cost evaluated along curves in the Wa...
International audienceThis paper describes recent results obtained in collaboration with M. Huesmann...
In the field of optimal transportation, one important issue is the regularity of the optimal transpo...
International audienceOptimal Transport (OT) problems arise in a wide range of applications, from ph...
Cette thèse comporte deux parties distinctes, toutes les deux liées à la théorie du transport optima...
Abstract. A fundamental concept in optimal transport is c-cyclical monotonicity: it allows to link t...