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SUMMARY:An interpolating distance between Wasserstein and Fisher-Rao - Fra
 nçois-Xavier Vialard (Université Paris-Dauphine\; INRIA Paris - Rocquenc
 ourt)
DTSTART:20171215T113000Z
DTEND:20171215T123000Z
UID:TALK96673@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk\, we present the natural extension of the Wassers
 tein metric to the space of positive Radon measures. We present the dynami
 c formulation and we show its associated static formulation. Then\, we rel
 ate this new metric to the Camassa-Holm equation and show that this Camass
 a-Holm equation is actually an incompressible Euler equation in higher dim
 ensions. We also present some applications of this new metric as a similar
 ity measure in inverse problems in imaging.
LOCATION:Seminar Room 1\, Newton Institute
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