Smooth LASSO estimator for the function-on-function linear regression model

DOI10.1016/j.csda.2022.107556OpenAlexW4283803670WikidataQ113877317 ScholiaQ113877317MaRDI QIDQ2674500

Matteo Fontana, Antonio Lepore, Simone Vantini, Fabio Centofanti

Publication date: 14 September 2022

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.00529

zbMATH Keywords

B-splinesfunctional data analysisLASSOfunctional regressionroughness penalties

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (5)

Adaptive smoothing spline estimator for the function-on-function linear regression model ⋮ Functional data clustering via information maximization ⋮ Locally Sparse Function-on-Function Regression ⋮ Sparse logistic functional principal component analysis for binary data ⋮ slasso

Uses Software

• R
• fda (R)
• glmnet
• ElemStatLearn
• adass

Cites Work

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• Functional linear regression analysis for longitudinal data
• The Adaptive Lasso and Its Oracle Properties
• Identifiability in penalized function-on-function regression models
• A partial overview of the theory of statistics with functional data
• Inference for functional data with applications
• Spline estimators for semi-functional linear model
• Functional linear regression that's interpretable
• No effect and lack-of-fit permutation tests for functional regression
• Methodology and convergence rates for functional linear regression
• Linear processes in function spaces. Theory and applications
• Nonconcave penalized likelihood with a diverging number of parameters.
• Least angle regression. (With discussion)
• Penalized function-on-function regression
• On the adaptive elastic net with a diverging number of parameters
• The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder).
• On rates of convergence in functional linear regression
• Functional data analysis.
• Multivariate functional principal component analysis: A normalization approach
• Functional Data Analysis with R and MATLAB
• A generalized Dantzig selector with shrinkage tuning
• Approximation spline de la prevision d'un processus fonctionnel autorégressif d'ordre 1
• Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
• Introduction to Functional Data Analysis
• Nonparametric inference for functional‐on‐scalar linear models applied to knee kinematic hop data after injury of the anterior cruciate ligament
• Sparsity and Smoothness Via the Fused Lasso
• Jackknife Empirical Likelihood Test for Equality of Two High Dimensional Means
• Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
• Functional Data Analysis for Sparse Longitudinal Data
• A practical guide to splines.

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