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SUMMARY:Flow matching\, rectified flow matching\, minibatch flow matching 
 and optimal transport
DTSTART:20260513T083000Z
DTEND:20260513T100000Z
DTSTAMP:20260522T062000Z
UID:indico-event-16553@indico.math.cnrs.fr
DESCRIPTION:Speakers: Antonin Chambolle (CEREMADE)\n\nFlow matching is an 
 alternative to diffusion methods for sampling fromunknown distributions (o
 f given datasets). While almost equivalent inthe standard case\, it has th
 e advantage that it can be applied to anyinitial coupling between two dist
 ributions\, and in particular in arepeated way\, which is the idea of "rec
 tified" flow matching. Thisapproach is claimed to be a way to compute opti
 mal transport\, which istrue only under strong (unverifiable) conditions. 
 We analyse thisprocess and give examples which show that it should not\, i
 n general\,converge to optimal transport. On the other hand\, the "minibat
 ch" basedoptimisation of rectified flow matching might be a way to approxi
 mateoptimal transport\, but this also relies on unverifiable conditions\,a
 lthough less strong than the previous. This is joint work with JulieDelon 
 and Johannes Hertrich.\n\nhttps://indico.math.cnrs.fr/event/16553/
LOCATION:112 (Braconnier )
URL:https://indico.math.cnrs.fr/event/16553/
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