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UID:643@cran.univ-lorraine.fr
DTSTART;TZID=Europe/Paris:20250327T140000
DTEND;TZID=Europe/Paris:20250327T150000
DTSTAMP:20250317T132927Z
URL:https://www.cran.univ-lorraine.fr/events/seminaire-de-paul-catala-2/
SUMMARY:Séminaire de Paul Catala
DESCRIPTION:Titre : Trigonometric Approximations of the Sparse Super-Resolu
 tion Problem in Wasserstein Distances\n\nRésumé : This work considers th
 e recovery of a (Radon) measure on the d-dimensional torus\, given trigono
 metric moments up to degree n. Considering the convolution of the measure 
 with powers of the Fejér kernel\, which can be computed efficiently from 
 the moment sequence\, we provide rates of convergence of the resulting den
 sity towards the measure in the p-Wasserstein distance\, as the degree n i
 ncreases. In particular\, we show that the best possible rate for polynomi
 al approximation is inversely proportional to the degree\, and that it is 
 achieved by adequately choosing the power to which the kernel is raised. F
 inally\, we introduce another class of approximations\, similar although n
 ot based on convolution\, that converge pointwise to the characteristic fu
 nction of the support of the measure. This is joint work with Mathias Hock
 mann\, Stefan Kunis and Markus Wageringel.\n \nBiographie : Paul a souten
 u ma thèse fin 2020 à paris\, à l'ENS\, sous la direction de Vincent Du
 val et de Gabriel Peyré. Paul a fait un premiers post-doc en Allemagne\, 
 à l'institut de mathématiques de l'université d'Osnabrück. Puis un deu
 xième post-doc en 2023-2024\, à Munich\, dans le centre Helmholtz-Munich
 \, dans l'institut d'imagerie biologique et médicale (IBMI)\, avant d'êt
 re recruté à Nancy. Ses thématiques de recherche porte essentiellement 
 sur les problèmes inverses en imagerie\, notamment la super-résolution\,
  les hiérarchies moments-sos (sum-of-squares) en optimisation\, et le tra
 nsport optimal.\n\nLien Teams:  cliquer ici.
CATEGORIES:Département CID,Séminaire projet MODELE
LOCATION:CRAN - ENSEM\, 2\, Avenue de la Foret de Haye\, Voandoeuvre-les-Na
 ncy\, 54516\, France
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 aye\, Voandoeuvre-les-Nancy\, 54516\, France;X-APPLE-RADIUS=100;X-TITLE=CR
 AN - ENSEM:geo:0,0
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