Optimal classification and nonparametric regression for functional data

DOI10.3150/15-BEJ709zbMath1360.62187arXiv1603.09130OpenAlexW2310643411MaRDI QIDQ282559

Alexander Meister

Publication date: 12 May 2016

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09130

zbMATH Keywords

kernel methodsasymptotic optimalitynonparametric estimationminimax convergence ratestopological data

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Probability measures on topological spaces (60B05)

Related Items (5)

Nonparametric density estimation for intentionally corrupted functional data ⋮ Classification with incomplete functional covariates ⋮ On statistical classification with incomplete covariates via filtering ⋮ Nonparametric modelling for functional data: selected survey and tracks for future ⋮ Estimation for functional partial linear models with missing responses

Uses Software

• fda (R)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear manifold representations for functional data
• Asymptotic equivalence of functional linear regression and a white noise inverse problem
• Local linear regression for functional data
• On the optimal rates of convergence for nonparametric deconvolution problems
• Fast learning rates for plug-in classifiers
• Methodology and convergence rates for functional linear regression
• Common functional principal components
• Rate of uniform consistency for nonparametric estimates with functional variables
• Weak convergence and empirical processes. With applications to statistics
• Lower bound in regression for functional data by representation of small ball probabilities
• Unexpected properties of bandwidth choice when smoothing discrete data for constructing a functional data classifier
• Entropy estimate for high-dimensional monotonic functions
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Corrigendum to “Consistent Nonparametric Regression for Functional Data Under the Stone-Besicovitch Conditions” [Nov 12 6697-6708]
• [https://portal.mardi4nfdi.de/wiki/Publication:3048064 Estimation des densit�s: risque minimax]
• Functional Classification in Hilbert Spaces
• Minimax nonparametric classification. II. Model selection for adaptation
• Minimax nonparametric classification .I. Rates of convergence
• Rates of Convergence of the Functional $k$-Nearest Neighbor Estimate
• Classification Using Censored Functional Data

This page was built for publication: Optimal classification and nonparametric regression for functional data