Dear
all,
Here
is the announcement of the next MAP seminar:
⟶ Speaker: Octave
Mischler (ENS Paris)
⟶ Date: Tuesday
4th June, 12:00
⟶ Where: Aula
Riunioni (Pisa) and online on Google Meet: https://seminarimap.wixsite.com/seminarimap/2023-2024-1/octave-mischler
⟶ Title: Stability
estimates for (Quadratic) Optimal transport
⟶ Abstract: The
optimal transport problem can be summarized as, given two probability densities, finding the cheapest way to transport one onto the other.
After introducing some basic knowledge about optimal transport among which existence of a solution, entropic regularization and dual formulation, we will present more recent work giving explicit stability bounds. Quite interestingly,
the main tool of the proof is Prékopa-Leindler inequality, a functional inequality one can actually prove using optimal transport, thus yielding a nice self improvement of the theory.
We
remind you that these seminars are addressed to everybody: the first half of the seminar is dedicated to the introduction of notions and tools needed in the second half, which is focused on research topics.
For
more information, check our website:
https://seminarimap.wixsite.com/seminarimap
See
you soon,
The
organizers:
Jeremy
Mirmina
Filippo
Paiano
Mario
Rastrelli
Leonardo
Roveri