On Varying-coefficient Independence Screening for High-dimensional Varying-coefficient Models.

TitleOn Varying-coefficient Independence Screening for High-dimensional Varying-coefficient Models.
Publication TypeJournal Article
Year of Publication2014
AuthorsSong, Rui, Feng Yi, and Hui Zou
JournalStat Sin
Date Published2014

Varying coefficient models have been widely used in longitudinal data analysis, nonlinear time series, survival analysis, and so on. They are natural non-parametric extensions of the classical linear models in many contexts, keeping good interpretability and allowing us to explore the dynamic nature of the model. Recently, penalized estimators have been used for fitting varying-coefficient models for high-dimensional data. In this paper, we propose a new computationally attractive algorithm called IVIS for fitting varying-coefficient models in ultra-high dimensions. The algorithm first fits a gSCAD penalized varying-coefficient model using a subset of covariates selected by a new varying-coefficient independence screening (VIS) technique. The sure screening property is established for VIS. The proposed algorithm then iterates between a greedy conditional VIS step and a gSCAD penalized fitting step. Simulation and a real data analysis demonstrate that IVIS has very competitive performance for moderate sample size and high dimension.

Alternate JournalStat Sin
Original PublicationOn varying-coefficient independence screening for high-dimensional varying-coefficient models.
PubMed ID25484548
PubMed Central IDPMC4251601
Grant ListP01 CA142538 / CA / NCI NIH HHS / United States