Unexpected properties of bandwidth choice when smoothing discrete data for constructing a functional data classifier

DOI10.1214/13-AOS1158zbMath1292.62059arXiv1312.5082WikidataQ30859704 ScholiaQ30859704MaRDI QIDQ2443201

Aurore Delaigle, Hall, Peter, Raymond J. Carroll

Publication date: 4 April 2014

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5082

zbMATH Keywords

kernel smoothingdiscriminationcentroid methodquadratic discriminationtraining datasmoothing parameter choice

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08)

Related Items

Optimal classification and nonparametric regression for functional data, Nonparametric density estimation and bandwidth selection with B-spline bases: a novel Galerkin method, On functional logistic regression: some conceptual issues, Unexpected properties of bandwidth choice when smoothing discrete data for constructing a functional data classifier, NONPARAMETRIC DENSITY ESTIMATION BY B-SPLINE DUALITY, A centroid classifier for functional/longitudinal data, Clustering multivariate functional data using unsupervised binary trees, In-sample forecasting applied to reserving and mesothelioma mortality

Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Unnamed Item
• Deciding the dimension of effective dimension reduction space for functional and high-dimension\-al data
• Uniform convergence rates for nonparametric regression and principal component analysis in functional/longitudinal data
• Robust estimation and classification for functional data via projection-based depth notions
• Bandwidth choice for nonparametric classification
• Confidence bands for Horvitz-Thompson estimators using sampled noisy functional data
• Unexpected properties of bandwidth choice when smoothing discrete data for constructing a functional data classifier
• Functional data analysis.
• Componentwise classification and clustering of functional data
• Response-Adaptive Regression for Longitudinal Data
• An Effective Bandwidth Selector for Local Least Squares Regression
• Horvitz-Thompson estimators for functional data: asymptotic confidence bands and optimal allocation for stratified sampling
• Introduction to Information Retrieval
• Functional Classification in Hilbert Spaces
• Theory for high-order bounds in functional principal components analysis
• Bayesian Curve Classification Using Wavelets
• Functional Logistic Discrimination Via Regularized Basis Expansions
• Discriminant and cluster analysis for Gaussian stationary processes: local linear fitting approach
• Second-Order Comparison of Gaussian Random Functions and the Geometry of DNA Minicircles
• Functional Classification with Margin Conditions
• On Properties of Functional Principal Components Analysis