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JMLR
2012

Stick-Breaking Beta Processes and the Poisson Process

8 years 6 months ago
Stick-Breaking Beta Processes and the Poisson Process
We show that the stick-breaking construction of the beta process due to Paisley et al. (2010) can be obtained from the characterization of the beta process as a Poisson process. Specifically, we show that the mean measure of the underlying Poisson process is equal to that of the beta process. We use this underlying representation to derive error bounds on truncated beta processes that are tighter than those in the literature. We also develop a new MCMC inference algorithm for beta processes, based in part on our new Poisson process construction.
John William Paisley, David M. Blei, Michael I. Jo
Added 27 Sep 2012
Updated 27 Sep 2012
Type Journal
Year 2012
Where JMLR
Authors John William Paisley, David M. Blei, Michael I. Jordan
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