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DTSTART;TZID=Europe/Madrid:20260325T143000
DTEND;TZID=Europe/Madrid:20260325T153000
DTSTAMP:20260724T102244
CREATED:20260321T121654Z
LAST-MODIFIED:20260321T164525Z
UID:24662-1774449000-1774452600@www.ift.uam-csic.es
SUMMARY:Quantum Information Journal Club: 'Rapid mixing for Gibbs measures in Riemannian manifolds'
DESCRIPTION:Speaker: Pablo Páez-Velasco (Universidad Complutense de Madrid) \nVenue & Time: Gray Room 2 / 14:30 \nAbstract: Given some sufficiently smooth\, generally non-convex\, function F on a Riemannian manifold\, and a fixed inverse temperature\, the problem of sampling with respect to the associated Gibbs distribution has played a central role in several areas\, such as statistical mechanics or non-convex optimization. A natural approach to do so is to simulate the Langevin diffusion associated to F\, whose stationary distribution is precisely the Gibbs distribution. However\, obtaining quantitative convergence guarantees in this non-convex\, geometric setting remains difficult. \nIn this work\, we identify a set of assumptions on F and the underlying manifold under which a log-Sobolev inequality (LSI) holds for the Gibbs distribution in the low-temperature regime. As a consequence\, we obtain exponential convergence of the Langevin diffusion to its stationary distribution.
URL:https://www.ift.uam-csic.es/event/quantum-information-journal-club-rapid-mixing-for-gibbs-measures-in-riemannian-manifolds/
LOCATION:Grey Room 2\, Instituto de Física Teórica\, Madrid\, Madrid\, 28037\, Spain
CATEGORIES:Journal clubs,Scientific activities
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