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X-WR-CALNAME:Department of Statistics and Operations Research
X-ORIGINAL-URL:https://stat-or.unc.edu
X-WR-CALDESC:Events for Department of Statistics and Operations Research
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DTSTART:20160313T070000
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DTSTART;TZID=America/New_York:20160120T143000
DTEND;TZID=America/New_York:20160120T153000
DTSTAMP:20210624T050728
CREATED:20170216T012016Z
LAST-MODIFIED:20170216T012024Z
UID:2748-1453300200-1453303800@stat-or.unc.edu
SUMMARY:STOR Colloquium: Noah Forman\, University of Oxford
DESCRIPTION:Exchangeability and continuum random trees \nA sequence of random variables is exchangeable if its distribution is invariant under finite permutations of indices. De Finetti showed that such sequences may be viewed as a mixtures of i.i.d. (independent\, identically distributed) sequences. The Chinese restaurant process (CRP) is a simple model related to many exchangeable objects\, which has recently gained prominence in connection with the clustering problem in machine learning. Continuum random trees (CRTs)\, on the other hand\, are related to various models (branching\, fragmentation\, coalescence) that have arisen from population genetics. This talk discusses connections between CRPs and CRTs. We focus on ongoing research concerning a Chinese restaurant with reseating that arises within a randomly evolving tree\, and the continuum limits of these processes\, with far-flung connections to Lévy process local times\, excursion theory\, and Wright-Fisher diffusions.
URL:https://stat-or.unc.edu/event/stor-colloquium-noah-forman-university-of-oxford/
LOCATION:Hanes 120
CATEGORIES:STOR Colloquium
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