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SUMMARY:Alpha-Stable Poisson-Kingman Processes: Some Applications and Meth
 odologies - Yee Whye Teh\, University of Oxford
DTSTART:20140314T160000Z
DTEND:20140314T170000Z
UID:TALK51095@talks.cam.ac.uk
CONTACT:20082
DESCRIPTION:Poisson-Kingman partitions reposed on alpha-stable processes h
 ave been well-studied\, e.g. by Pitman (2003) who first introduced them\, 
 and Gnedin and Pitman (2006) who characterized them as a particular class 
 of Gibbs-type exchangeable random partitions.  They have recently\nenjoyed
  increasing interest in the Bayesian nonparametrics community for being th
 e largest known class of random probability measures that have significant
  advantages in terms of mathematical and computational tractability.\n\nIn
  this talk I will give an overview to alpha-stable Poisson-Kingman process
 es from the perspective of using them in statistical modelling application
 s.  Specifically I will describe their use in Bayesian\nnonparametric mixt
 ure models for clustering and density estimation problems\, and in estimat
 ing discovery probabilities in special sampling problems. I will also desc
 ribe computational techniques which allow us to perform efficient Markov c
 hain Monte Carlo inference\nfor these processes.\n\nJoint work with Stefan
 o Favaro and Maria Lomeli.
LOCATION:MR12\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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