Functional data classification: a wavelet approach

DOI10.1007/S00180-014-0503-4zbMath1306.65038OpenAlexW1979447761MaRDI QIDQ2259803

Robert Todd Ogden, Yakuan Chen, Chung Chang

Publication date: 5 March 2015

Published in: Computational Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00180-014-0503-4

zbMATH Keywords

kernelsparsewavelet thresholdingsemi-metricfunctional data classification

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (11)

Classification with incomplete functional covariates ⋮ On statistical classification with incomplete covariates via filtering ⋮ Sensible functional linear discriminant analysis ⋮ Nonparametric discrimination of areal functional data ⋮ Functional data classification using the rotation forest method combined with the patch selection ⋮ Methods for Scalar‐on‐Function Regression ⋮ Model-based joint curve registration and classification ⋮ Bayesian classification of multiclass functional data ⋮ Wavelet-domain regression and predictive inference in psychiatric neuroimaging ⋮ Inference on covariance operators via concentration inequalities: \(k\)-sample tests, classification, and clustering via Rademacher complexities ⋮ Framelet block thresholding estimator for sparse functional data

Uses Software

• fda (R)

Cites Work

• Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
• Curves discrimination: a nonparametric functional approach
• Robust estimation and classification for functional data via projection-based depth notions
• Penalized discriminant analysis
• Generalized functional linear models
• Functional data analysis.
• Nonparametric functional data analysis. Theory and practice.
• Functional Principal Component Regression and Functional Partial Least Squares
• Ten Lectures on Wavelets
• Test of Significance When Data Are Curves
• A Functional Data—Analytic Approach to Signal Discrimination
• Robust Classification of Functional and Quantitative Image Data Using Functional Mixed Models

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