Multivariate Functional Principal Component Analysis for Data Observed on Different (Dimensional) Domains

DOI10.1080/01621459.2016.1273115zbMath1398.62154arXiv1509.02029OpenAlexW2230970864MaRDI QIDQ4962431

Clara Happ, Sonja Greven

Publication date: 2 November 2018

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02029

zbMATH Keywords

dimension reductionimage analysisfunctional data analysismultivariate functional data

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Applications of statistics to biology and medical sciences; meta analysis (62P10) Image analysis in multivariate analysis (62H35)

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Uses Software

• R
• CRAN
• fda (R)
• refund
• MFPCA
• funData

Cites Work

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• Methodology and convergence rates for functional linear regression
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• Model-based clustering for multivariate functional data
• Principal components for multivariate functional data
• Generalized functional linear models
• Functional data analysis.
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• The Classical Theory of Integral Equations
• The Analysis of Two-Way Functional Data Using Two-Way Regularized Singular Value Decompositions
• Multivariate functional principal component analysis: A normalization approach
• A useful variant of the Davis–Kahan theorem for statisticians
• On Properties of Functional Principal Components Analysis
• Functional Data Analysis for Sparse Longitudinal Data
• Functional analysis

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