Stick-breaking Construction for the Indian Buffet Process

Teh, YW; Görür, D; Ghahramani, Z

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Stick-breaking Construction for the Indian Buffet Process

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Görür, D
Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society;
Max Planck Institute for Biological Cybernetics, Max Planck Society;

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http://proceedings.mlr.press/v2/teh07a/teh07a.pdf
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Citation

Teh, Y., Görür, D., & Ghahramani, Z. (2007). Stick-breaking Construction for the Indian Buffet Process. In M. Meila, & X. Shen (Eds.), Artificial Intelligence and Statistics, 21-24 March 2007, San Juan, Puerto Rico (pp. 556-563). Madison, WI, USA: International Machine Learning Society.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-CE7D-C

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.