Journal article
Expandable factor analysis
Biometrika, Vol.104(3), pp.649-663
09/01/2017
DOI: 10.1093/biomet/asx030
PMCID: PMC5793687
PMID: 29430037
Abstract
Bayesian sparse factor models have proven useful for characterizing dependence in multivariate data, but scaling computation to large numbers of samples and dimensions is problematic. We propose expandable factor analysis for scalable inference in factor models when the number of factors is unknown. The method relies on a continuous shrinkage prior for efficient maximum a posteriori estimation of a low-rank and sparse loadings matrix. The structure of the prior leads to an estimation algorithm that accommodates uncertainty in the number of factors. We propose an information criterion to select the hyperparameters of the prior. Expandable factor analysis has better false discovery rates and true positive rates than its competitors across diverse simulation settings. We apply the proposed approach to a gene expression study of ageing in mice, demonstrating superior results relative to four competing methods.
Details
- Title: Subtitle
- Expandable factor analysis
- Creators
- Sanvesh Srivastava - University of IowaBarbara E Engelhardt - Princeton UniversityDavid B Dunson - Duke University
- Resource Type
- Journal article
- Publication Details
- Biometrika, Vol.104(3), pp.649-663
- Publisher
- OXFORD UNIV PRESS
- DOI
- 10.1093/biomet/asx030
- PMID
- 29430037
- PMCID
- PMC5793687
- ISSN
- 0006-3444
- eISSN
- 1464-3510
- Number of pages
- 15
- Grant note
- National Institutes of Health National Science Foundation U.S. National Institute of Environmental Health Sciences
- Language
- English
- Date published
- 09/01/2017
- Academic Unit
- Statistics and Actuarial Science
- Record Identifier
- 9984257632502771
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