## The hierarchical beta process for convolutional factor analysis and deep learning

Publication
, Journal Article

Chen, B; Polatkan, G; Sapiro, G; Dunson, DB; Carin, L

Published in: Proceedings of the 28th International Conference on Machine Learning, ICML 2011

October 7, 2011

A convolutional factor-analysis model is developed, with the number of filters (factors) inferred via the beta process (BP) and hierarchical BP, for single-task and multi-task learning, respectively. The computation of the model parameters is implemented within a Bayesian setting, employing Gibbs sampling; we explicitly exploit the convolutional nature of the expansion to accelerate computations. The model is used in a multi-level ("deep") analysis of general data, with specific results presented for image-processing data sets, e.g., classification. Copyright 2011 by the author(s)/owner(s).

### Duke Scholars

## Published In

Proceedings of the 28th International Conference on Machine Learning, ICML 2011

## Publication Date

October 7, 2011

## Start / End Page

361 / 368

### Citation

APA

Chicago

ICMJE

MLA

NLM

Chen, B., Polatkan, G., Sapiro, G., Dunson, D. B., & Carin, L. (2011). The hierarchical beta process for convolutional factor analysis and deep learning.

*Proceedings of the 28th International Conference on Machine Learning, ICML 2011*, 361–368.Chen, B., G. Polatkan, G. Sapiro, D. B. Dunson, and L. Carin. “The hierarchical beta process for convolutional factor analysis and deep learning.”

*Proceedings of the 28th International Conference on Machine Learning, ICML 2011*, October 7, 2011, 361–68.Chen B, Polatkan G, Sapiro G, Dunson DB, Carin L. The hierarchical beta process for convolutional factor analysis and deep learning. Proceedings of the 28th International Conference on Machine Learning, ICML 2011. 2011 Oct 7;361–8.

Chen, B., et al. “The hierarchical beta process for convolutional factor analysis and deep learning.”

*Proceedings of the 28th International Conference on Machine Learning, ICML 2011*, Oct. 2011, pp. 361–68.Chen B, Polatkan G, Sapiro G, Dunson DB, Carin L. The hierarchical beta process for convolutional factor analysis and deep learning. Proceedings of the 28th International Conference on Machine Learning, ICML 2011. 2011 Oct 7;361–368.

## Published In

Proceedings of the 28th International Conference on Machine Learning, ICML 2011

## Publication Date

October 7, 2011

## Start / End Page

361 / 368