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.
| Author(s): | Teh, YW. and Görür, D. and Ghahramani, Z. |
| Book Title: | JMLR Workshop and Conference Proceedings Volume 2: AISTATS 2007 |
| Journal: | Proceedings of the Eleventh International Conference on Artificial Intelligence and Statistics (AISTATS 2007) |
| Pages: | 556-563 |
| Year: | 2007 |
| Month: | March |
| Day: | 0 |
| Editors: | Meila, M. , X. Shen |
| Publisher: | MIT Press |
| Bibtex Type: | Conference Paper (inproceedings) |
| Address: | Cambridge, MA, USA |
| Event Name: | 11th International Conference on Artificial Intelligence and Statistics |
| Event Place: | San Juan, Puerto Rico |
| Digital: | 0 |
| Electronic Archiving: | grant_archive |
| Language: | en |
| Organization: | Max-Planck-Gesellschaft |
| School: | Biologische Kybernetik |
| Links: | |
BibTex
@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}
}