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CATEGORIES:Machine Learning @ CUED
SUMMARY:The combinatorial structure of conditionally i.i.d
. negative binomial processes directed by a beta p
rocess - Creighton Heaukulani (University of Cambr
idge)
DTSTART;TZID=Europe/London:20130606T130000
DTEND;TZID=Europe/London:20130606T133000
UID:TALK45721AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/45721
DESCRIPTION:We give a simple constructive characterization of
a beta negative binomial process\, i.e.\, a random
measure that is conditionally a negative binomial
process\, given a beta process base measure. Our
results build on those for exchangeable sequences
of Bernoulli process directed by beta processes d
eveloped by Roy (2013)\, where a beta process is r
einterpreted as a continuum of Dirichlet processes
\, so that a directed sequence of Bernoulli proces
ses is a continuum of Blackwell-MacQueen urn schem
es.\n\nWe then define a negative binomial Indian b
uffet process (NB-IBP)\, which is the discrete-tim
e combinatorial stochastic process underlying exch
angeable sequences of negative binomial processes
directed by a beta process. In particular\, the N
B-IBP is an exchangeable sequence of multisets. S
imilar to the IBP\, the NB-IBP induces a distribut
ion over non-negative integer-valued matrices.\n\n
Joint work with Daniel M. Roy.
LOCATION:Engineering Department\, CBL Room BE-438
CONTACT:Creighton Heaukulani
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