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Stick-breaking Construction for the Indian Buffet Process
The Indian buffet process (IBP) is a Bayesian nonparametric distribution whereby objects are modelled using an unbounded number of latent features. In this paper we derive a stick-breaking representation for the IBP. Based on this new representation, we develop slice samplers for the IBP that are efficient, easy to implement and are more generally applicable than the currently available Gibbs sampler. This representation, along with the work of Thibaux and Jordan [17], also illuminates interesting theoretical connections between the IBP, Chinese restaurant processes, Beta processes and Dirichlet processes.
@inproceedings{5361, title = {Stick-breaking Construction for the Indian Buffet Process}, journal = {Proceedings of the Eleventh International Conference on Artificial Intelligence and Statistics (AISTATS 2007)}, booktitle = {JMLR Workshop and Conference Proceedings Volume 2: AISTATS 2007}, abstract = {The Indian buffet process (IBP) is a Bayesian nonparametric distribution whereby objects are modelled using an unbounded number of latent features. In this paper we derive a stick-breaking representation for the IBP. Based on this new representation, we develop slice samplers for the IBP that are efficient, easy to implement and are more generally applicable than the currently available Gibbs sampler. This representation, along with the work of Thibaux and Jordan [17], also illuminates interesting theoretical connections between the IBP, Chinese restaurant processes, Beta processes and Dirichlet processes. }, pages = {556-563}, editors = {Meila, M. , X. Shen}, publisher = {MIT Press}, organization = {Max-Planck-Gesellschaft}, school = {Biologische Kybernetik}, address = {Cambridge, MA, USA}, month = mar, year = {2007}, slug = {5361}, author = {Teh, YW. and G{\"o}r{\"u}r, D. and Ghahramani, Z.}, month_numeric = {3} }