Additive functional regression in reproducing kernel Hilbert spaces under smoothness condition

DOI10.1007/S00184-020-00797-9zbMath1467.62193OpenAlexW3091785172MaRDI QIDQ2036304

Yu-Zhu Tian, Zengyan Fan, Hongmei Lin, Heng Lian

Publication date: 28 June 2021

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-020-00797-9

zbMATH Keywords

convergence ratereproducing kernel Hilbert spacefunctional data

Mathematics Subject Classification ID

Functional data analysis (62R10) Linear regression; mixed models (62J05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Unnamed Item
• Functional linear regression analysis for longitudinal data
• Single and multiple index functional regression models with nonparametric link
• Regression models for functional data by reproducing kernel Hilbert spaces methods
• Prediction in functional linear regression
• Methodology and convergence rates for functional linear regression
• Smoothing splines estimators for functional linear regression
• The functional nonparametric model and applications to spectrometric data
• Convergence of functional \(k\)-nearest neighbor regression estimate with functional responses
• Optimal rates for the regularized least-squares algorithm
• Functional data analysis.
• Presmoothing in functional linear regression
• Cross-validated estimations in the single-functional index model
• Optimal Prediction in an Additive Functional Model
• Nonlinear functional models for functional responses in reproducing kernel hilbert spaces
• Minimax and Adaptive Prediction for Functional Linear Regression
• Faster convergence rate for functional linear regression in reproducing kernel Hilbert spaces
• Continuously additive models for nonlinear functional regression
• Functional Additive Models
• Structured Functional Additive Regression in Reproducing Kernel Hilbert Spaces

This page was built for publication: Additive functional regression in reproducing kernel Hilbert spaces under smoothness condition