Longitudinal Functional Models with Structured Penalties

Abstract

This paper addresses estimation in a longitudinal regression model for association between a scalar outcome and a set of longitudinally-collected functional covariates or predictor curves. The framework consists of estimating a time-varying coefficient function that is modeled as a linear combination of time-invariant functions but having time-varying coefficients. The estimation procedure exploits the equivalence between penalized least squares estimation and a linear mixed model representation. The process is empirically evaluated with several simulations and it is applied to analyze the neurocognitive impairment of HIV patients and its association with longitudinally-collected magnetic resonance spectroscopy curves.

23 pages, 5 figures

References in corpus (3)

• Generalized functional linear models
• Prediction in functional linear regression
• Multilevel functional principal component analysis

Cited by in corpus (2)

• Classification of pediatric pneumonia using chest X-rays by functional regression
• Longitudinal Dynamic Functional Regression