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TZID:Europe/Paris
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UID:5617@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20241210T110000
DTEND;TZID=Europe/Paris:20241210T120000
DTSTAMP:20241204T134609Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-178/
SUMMARY:Gabriele Todeschi (Université Gustave Eiffel (Paris)): Extrapolati
 on of Wasserstein geodesics
DESCRIPTION:Gabriele Todeschi: Abstract: Extending geodesics in the Wassers
 tein space\, namely the space of probability measures endowed with the qua
 dratic Wasserstein distance\, can be useful for designing high order accur
 ate time discretizations of gradient flows or acceleration techniques à l
 a Nesterov. However\, this is not a well-defined operation in general. In 
 this talk we will discuss different alternatives and focus in particular o
 n a recent variational model we proposed. This is obtained by allowing for
  negative coefficients in the classical variational characterization of Wa
 sserstein barycenters. We show that this problem\, despite being non-conve
 x along linear interpolations\, admits two equivalent convex formulations.
  In particular\, it can be recast as an instance of weak optimal transport
 . We take advantage of this formulation to devise an efficient approach to
  approximate the extrapolation on point clouds\, via entropic regularizati
 on and a variant of the Sinkhorn algorithm. This is a joint work with Thom
 as Gallouët and Andrea Natale.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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TZID:Europe/Paris
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DTSTART:20241027T020000
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