In this paper, we introduce a two-step procedure, in the context of high dimensional additive models, to identify nonzero linear and nonlinear components. We first develop a sure independence screening procedure based on the distance correlation between predictors and marginal distribution function of the response variable to reduce the dimensionality of the feature space to a moderate scale. Then a double penalization based procedure is applied to identify nonzero and linear components, simultaneously. We conduct extensive simulation experiments and a real data analysis to evaluate the numerical performance of the proposed method.
Kazemi M, Shahsavani D, Arashi M. Variable Selection and Structure Identification in High Dimension for Partial Linear Additive Models. JSS 2019; 12 (2) :485-512 URL: http://jss.irstat.ir/article-1-571-en.html