BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//7.2.3.1//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:622@cran.univ-lorraine.fr
DTSTART;TZID=Europe/Paris:20241205T140000
DTEND;TZID=Europe/Paris:20241205T150000
DTSTAMP:20241203T165824Z
URL:https://www.cran.univ-lorraine.fr/events/seminaire-de-paul-catala/
SUMMARY:Séminaire de Paul Catala
DESCRIPTION:Speaker: Paul Catala\nTitle: An approximate joint diagonalisati
 on algorithm for algebraic recovery from moments\nLocation: CRAN's Room at
  Henri Poincaré Building (4th Floor)\, Faculté des Sciences et Technolog
 ies\n\nAbstract:\nMany problems in imaging and data science require to rec
 onstruct\, from partial observations\, highly concentrated signals\, such 
 as pointwise sources or contour lines. This work introduces a novel algori
 thm for recovering measures supported on such structured domains\, given a
  finite number of their moments. Our approach is based on the traditional 
 singular value decomposition methodology of subspace methods\, but lifts t
 heir restriction to the framework of Dirac masses\, and is able to recover
  geometrically faithful discrete approximations of measures with density. 
 The crucial step consists in the approximate joint diagonalization of a fe
 w non-commuting matrices\, which we perform using a quasi-Newton algorithm
 . Experiments show that our method performs well\, not only in the setting
  of well separated Dirac masses\, as predicted by the standard theory of t
 he truncated moment problem\, but also in the case of continuous measures\
 , which is not covered by theoretical guarantees and where usual methods e
 mpirically fail. We illustrate its applicability in optimal transport prob
 lems\, where the coupling measure is often localized on the graph of some 
 function.
CATEGORIES:Département BioSiS,Séminaires projet SiMul
LOCATION:CRAN - FST - 4ème\, Campus Sciences\, Boulevard des Aiguillettes\
 , Vandoeuvre-lès-Nancy\, 54506\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Campus Sciences\, Boulevard
  des Aiguillettes\, Vandoeuvre-lès-Nancy\, 54506\, France;X-APPLE-RADIUS=
 100;X-TITLE=CRAN - FST - 4ème:geo:0,0
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:STANDARD
DTSTART:20241027T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
END:STANDARD
END:VTIMEZONE
END:VCALENDAR