Bayesian latent factor regression for functional and longitudinal data.

Journal Article (Journal Article)

In studies involving functional data, it is commonly of interest to model the impact of predictors on the distribution of the curves, allowing flexible effects on not only the mean curve but also the distribution about the mean. Characterizing the curve for each subject as a linear combination of a high-dimensional set of potential basis functions, we place a sparse latent factor regression model on the basis coefficients. We induce basis selection by choosing a shrinkage prior that allows many of the loadings to be close to zero. The number of latent factors is treated as unknown through a highly-efficient, adaptive-blocked Gibbs sampler. Predictors are included on the latent variables level, while allowing different predictors to impact different latent factors. This model induces a framework for functional response regression in which the distribution of the curves is allowed to change flexibly with predictors. The performance is assessed through simulation studies and the methods are applied to data on blood pressure trajectories during pregnancy.

Full Text

Duke Authors

Cited Authors

  • Montagna, S; Tokdar, ST; Neelon, B; Dunson, DB

Published Date

  • December 2012

Published In

Volume / Issue

  • 68 / 4

Start / End Page

  • 1064 - 1073

PubMed ID

  • 23005895

Pubmed Central ID

  • PMC3530663

Electronic International Standard Serial Number (EISSN)

  • 1541-0420

International Standard Serial Number (ISSN)

  • 0006-341X

Digital Object Identifier (DOI)

  • 10.1111/j.1541-0420.2012.01788.x


  • eng