title: Identification of partially linear structure in additive models with an application to gene expression prediction from sequences.
abstract: The additive model is a semiparametric class of models that has become extremely popular because it is more flexible than the linear model and can be fitted to high-dimensional data when fully nonparametric models become infeasible. We consider the problem of simultaneous variable selection and parametric component identification using spline approximation aided by two smoothly clipped absolute deviation (SCAD) penalties. The advantage of our approach is that one can automatically choose between additive models, partially linear additive models and linear models, in a single estimation step. Simulation studies are used to illustrate our method, and we also present its applications to motif regression.
authors.affiliation: Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore. henglian@ntu.edu.sg
authors.forename: Heng
authors.initials: H
authors.lastname: Lian
authors.forename: Xin
authors.initials: X
authors.lastname: Chen
authors.forename: Jian-Yi
authors.initials: JY
authors.lastname: Yang
mesh_terms: D001699:Biometry / Q000379:methods*; D030541:Databases, Genetic / Q000706:statistics & numerical data; D020869:Gene Expression Profiling / Q000706:statistics & numerical data*; D016014:Linear Models; D015233:Models, Statistical; D009010:Monte Carlo Method; D020411:Oligonucleotide Array Sequence Analysis / Q000706:statistics & numerical data; D012044:Regression Analysis; D012441:Saccharomyces cerevisiae / Q000235:genetics; D018709:Statistics, Nonparametric