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TZID:Europe/Vienna
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DTSTART:20250330T030000
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BEGIN:VEVENT
DTSTAMP:20260310T222021Z
UID:6687bf08e3cfc906894009@ist.ac.at
DTSTART:20250506T161500
DTEND:20250506T171500
DESCRIPTION:Speaker: Maxime Sylvestre\nhosted by Jan Maas\nAbstract: Caffar
 ellis contraction theorem guarantees the Lipschitz continuity of the optim
 al transport map between a Gaussian and a measure with strongly concave lo
 g-density. In 2022\, Chewi and Pooladian provided a proof of this theorem 
 using the entropic version of optimal transport. Here\, we propose an exte
 nsion of both results based on the Prekopa-Leindler inequality. Leveraging
  the Prekopa-Leindler inequality allows us to relax the regularity assumpt
 ions on the log-densities and to introduce anisotropy. From this\, we deri
 ve regularity and growth results for optimal transport when the target mea
 sure is log-concave. Finally\, by introducing a quantitive Prekopa-Leindle
 r inequality\, we refine the recent result of Shenfeld and De Philippis co
 ncerning the trace of the derivative of the optimal transport map when the
  source measure is log-subharmonic.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Maxime Sylvestre: A Synthetic Approach to Global Regularity Estimat
 es for Optimal Transport via Entropic Regularization
URL:https://talks-calendar.ista.ac.at/events/5699
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