Stick-Breaking Beta Processes and the Poisson Process
Author(s): Paisley, John; Blei, David M; Jordan, Michael I
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http://arks.princeton.edu/ark:/88435/pr1k529| Abstract: | We show that the stick-breaking construction of the beta process due to \citePaisley: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. |
| Publication Date: | 2012 |
| Citation: | Paisley, John, David Blei, and Michael Jordan. "Stick-Breaking Beta Processes and the Poisson Process." In Proceedings of the Fifteenth International Conference on Artificial Intelligence and Statistics 22, pp. 850-858. 2012. |
| ISSN: | 2640-3498 |
| Pages: | 850 - 858 |
| Type of Material: | Conference Article |
| Journal/Proceeding Title: | Proceedings of the Fifteenth International Conference on Artificial Intelligence and Statistics |
| Version: | Author's manuscript |
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