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DTSTART:20240331T030000
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BEGIN:VEVENT
DTSTAMP:20260406T022538Z
UID:662261923a2cb478035660@ist.ac.at
DTSTART:20240603T170000
DTEND:20240603T180000
DESCRIPTION:Speaker: Yuansi Chen\nhosted by Laszlo Erdös\, Jan Maas\nAbstr
 act: We introduce localization schemes for analyzing the mixing time of Ma
 rkov chains on continuous space and discrete hypercube. A localization sch
 eme assigns every probability measure a martingale of probability measures
  which localize in space as time evolves. The use of localization schemes 
 allows us to reduce the mixing time analysis on the original target distri
 bution to that on many simpler transformed distributions.After reviewing i
 ts connection to the existing literature on high dimensional concentration
  and convex geometry\, we first explain Eldan's stochastic localization on
  Euclidean space. Next\, we demonstrate how stochastic localization can be
  used for sampling Ising models in the uniqueness regime on the discrete h
 ypercube\, and discuss the differences between working on discrete and con
 tinuous spaces. This observation regarding the differences motivates us to
  introduce new Poisson-process-driven negative fields localization schemes
  for analyzing Glauber dynamics for sampling the hardcore model.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Yuansi Chen: Localization Schemes
URL:https://talks-calendar.ista.ac.at/events/4938
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