The combinatorial structure of conditionally i.i.d. negative binomial processes directed by a beta process
Add to your list(s)
Download to your calendar using vCal
If you have a question about this talk, please contact Creighton Heaukulani.
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 developed by Roy (2013), where a beta process is reinterpreted as a continuum of Dirichlet processes, so that a directed sequence of Bernoulli processes is a continuum of BlackwellMacQueen urn schemes.
We then define a negative binomial Indian buffet process (NBIBP), which is the discretetime combinatorial stochastic process underlying exchangeable sequences of negative binomial processes directed by a beta process. In particular, the NBIBP is an exchangeable sequence of multisets. Similar to the IBP , the NBIBP induces a distribution over nonnegative integervalued matrices.
Joint work with Daniel M. Roy.
This talk is part of the Machine Learning @ CUED series.
This talk is included in these lists:
Note that exdirectory lists are not shown.
