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math.ST2016★ 4 cited
A constructive definition of the beta process
John Paisley, Michael I Jordan
We derive a construction of the beta process that allows for the atoms with significant measure to be drawn first. Our representation is based on an extension of the Sethuraman (19…
math.ST2011★ 4 cited
The Stick-Breaking Construction of the Beta Process as a Poisson Process
John Paisley, David Blei, Michael I. Jordan
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. S…