Nonparametric Sparse Factor Analysis 1

David A. Knowles, Zoubin Ghahramani — Fri, 26 Jul 2013 01:02:02 -0000

This is the core MCMC sampler for the nonparametric sparse factor analysis model presented in

David A. Knowles and Zoubin Ghahramani (2011). Nonparametric Bayesian Sparse Factor Models with application to Gene Expression modelling. Annals of Applied Statistics

From the abstract:

A nonparametric Bayesian extension of Factor Analysis (FA) is proposed where observed data Y is modeled as a linear superposition, G, of a potentially infinite number of hidden factors, X. The Indian Buffet Process (IBP) is used as a prior on G to incorporate sparsity and to allow the number of latent features to be inferred. The model's utility for modeling gene expression data is investigated using randomly generated datasets based on a known sparse connectivity matrix for E. Coli, and on three biological datasets of increasing complexity.

mloss.org Nonparametric Sparse Factor Analysis

Nonparametric Sparse Factor Analysis 1