Spectral Methods for Indian Buffet Process Inference

Abstract

The Indian Buffet Process is a versatile statistical tool for modeling distributions over binary matrices. We provide an efficient spectral algorithm as an alternative to costly Variational Bayes and sampling-based algorithms. We derive a novel tensorial characterization of the moments of the Indian Buffet Process proper and for two of its applications. We give a computationally efficient iterative inference algorithm, concentration of measure bounds, and reconstruction guarantees. Our algorithm provides superior accuracy and cheaper computation than comparable Variational Bayesian approach on a number of reference problems.

Cite

Text

Tung and Smola. "Spectral Methods for Indian Buffet Process Inference." Neural Information Processing Systems, 2014.

Markdown

[Tung and Smola. "Spectral Methods for Indian Buffet Process Inference." Neural Information Processing Systems, 2014.](https://mlanthology.org/neurips/2014/tung2014neurips-spectral/)

BibTeX

@inproceedings{tung2014neurips-spectral,
  title     = {{Spectral Methods for Indian Buffet Process Inference}},
  author    = {Tung, Hsiao-Yu and Smola, Alexander J},
  booktitle = {Neural Information Processing Systems},
  year      = {2014},
  pages     = {1484-1492},
  url       = {https://mlanthology.org/neurips/2014/tung2014neurips-spectral/}
}