Variable selection for functional linear models with strong heredity constraint

DOI10.1007/s10463-021-00798-zOpenAlexW3159846120MaRDI QIDQ2121450

Menghan Zhang, Tie Jun Tong, San Ying Feng

Publication date: 4 April 2022

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10463-021-00798-z

zbMATH Keywords

variable selectionfunctional linear modelinteraction effectmain effectmultiple functional predictorsheredity structure

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items

Gene-environment interaction analysis under the Cox model

Uses Software

• fda (R)
• hierNet

Cites Work

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• The Adaptive Lasso and Its Oracle Properties
• Consistent variable selection for functional regression models
• A lasso for hierarchical interactions
• Inference for functional data with applications
• Prediction in functional linear regression
• Structured variable selection and estimation
• Methodology and convergence rates for functional linear regression
• Smoothing splines estimators for functional linear regression
• Penalized scalar-on-functions regression with interaction term
• Robust shrinkage estimation and selection for functional multiple linear model through LAD loss
• Interaction models for functional regression
• Quantile regression for functional partially linear model in ultra-high dimensions
• Variable selection for functional regression models via the \(L_1\) regularization
• Sparse wavelet estimation in quantile regression with multiple functional predictors
• Functional data analysis.
• Partially functional linear regression in high dimensions
• Extended Bayesian information criteria for model selection with large model spaces
• Interaction
• Testing Hypotheses in the Functional Linear Model
• Group Regularized Estimation Under Structural Hierarchy
• Bayesian variable selection with related predictors
• Shrinkage estimation and selection for multiple functional regression
• Model Selection for High-Dimensional Quadratic Regression via Regularization
• Variable Selection With the Strong Heredity Constraint and Its Oracle Property
• Functional quadratic regression
• Truncated Linear Models for Functional Data
• Model Selection and Estimation in Regression with Grouped Variables
• Tuning parameter selectors for the smoothly clipped absolute deviation method