Variational Inference for Stick-Breaking Beta Process Priors

Abstract

We present a variational Bayesian inference algorithm for the stick-breaking construction of the beta process. We derive an alternate representation of the beta process that is amenable to variational inference, and present a bound relating the truncated beta process to its infinite counterpart. We assess performance on two matrix factorization problems, using a non-negative factorization model and a linear-Gaussian model.

Cite

Text

Paisley et al. "Variational Inference for Stick-Breaking Beta Process Priors." International Conference on Machine Learning, 2011.

Markdown

[Paisley et al. "Variational Inference for Stick-Breaking Beta Process Priors." International Conference on Machine Learning, 2011.](https://mlanthology.org/icml/2011/paisley2011icml-variational/)

BibTeX

@inproceedings{paisley2011icml-variational,
  title     = {{Variational Inference for Stick-Breaking Beta Process Priors}},
  author    = {Paisley, John W. and Carin, Lawrence and Blei, David M.},
  booktitle = {International Conference on Machine Learning},
  year      = {2011},
  pages     = {889-896},
  url       = {https://mlanthology.org/icml/2011/paisley2011icml-variational/}
}