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SUMMARY:Indian Buffet Processes with Power-law Behaviour - Yee Whye Teh (G
 atsby Unit\, UCL)
DTSTART:20091120T140000Z
DTEND:20091120T150000Z
UID:TALK21590@talks.cam.ac.uk
CONTACT:Zoubin Ghahramani
DESCRIPTION:The Indian buffet process (IBP) is an exchangeable distributio
 n over binary matrices used in Bayesian nonparametric featural models.  In
  this paper we propose a three-parameter generalization of the IBP exhibit
 ing power-law behavior.  We achieve this by generalizing the beta process 
 (the de Finetti measure of the IBP) to the stable-beta process and derivin
 g the IBP corresponding to it.  We find interesting relationships between 
 the stable-beta process and the Pitman-Yor process (another stochastic pro
 cess used in Bayesian nonparametric models with interesting power-law prop
 erties).  We derive a stick-breaking construction for the stable-beta proc
 ess\, and find that our power-law IBP is a good model for word occurrences
  in document corpora.\n
LOCATION:Engineering Department\, CBL Room 438
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