Séminaire Analyse-Probabilités

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Intervenant : LETROUIT Cyril (LMO Paris Orsay)
Titre :
Quantitative stability in optimal transport

Le : 23/09/2025 de : 10:30 à : 11:30
Optimal transport consists in sending a given source probability measure \rho to a given target probability measure \mu in an optimal way with respect to a certain cost. On bounded subsets of R^d, if the cost is given by the squared Euclidean distance and if \rho is absolutely continuous, there exists a unique optimal transport map from \rho to \mu. Optimal transport has been widely applied across various domains, notably in analysis, probability, statistics, geometry and optimization. In this talk, we provide a quantitative answer to the following stability question: if \mu is perturbed, can the optimal transport map from \rho to \mu change significantly? The answer depends on the properties of the density \rho. This question takes its roots in numerical optimal transport, and has found applications to other problems like the statistical estimation of optimal transport maps, the computation of Wasserstein barycenters, and the convergence of Sinkhorn's algorithm. The talk is based on joint works with Quentin Mérigot and Jun Kitagawa.
Salle : A711

Séminaire Analyse-Probabilités

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Intervenant : CONTAT Alice (Université Sorbonne Paris Nord)
Titre :
TBA

Le : 30/09/2025 de : 10:30 à : 11:30
TBA
Salle : TBA

Séminaire Analyse-Probabilités

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Intervenant : HAMZA Mohammed Ali (Imam Abdulrahman Bin Faisal University)
Titre :
TBA

Le : 09/10/2025 de : 10:30 à : 11:30
TBA
Salle : A711

Séminaire Analyse-Probabilités

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Intervenant : KRUPA Sam (ENS Paris)
Titre :
TBA

Le : 14/10/2025 de : 10:30 à : 11:30
TBA
Salle : A711

Séminaire Analyse-Probabilités

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Intervenant : DAVID Noemi (LMRS - Université de Rouen)
Titre :
TBA

Le : 25/11/2025 de : 10:30 à : 11:30
TBA
Salle : A711

Séminaire Analyse-Probabilités

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Intervenant : AYI Nathalie (LJLL)
Titre :
TBA

Le : 19/05/2026 de : 10:30 à : 11:30
TBA
Salle : A711