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Functional data analysis

Functional data analysis (FDA) is a branch of statistics that analyses data providing information about curves, surfaces or anything else varying over a continuum. In its most general form, under an FDA framework, each sample element of functional data is considered to be a random function. The physical continuum over which these functions are defined is…

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Overview

History

Mathematical formalism

Functional data designs

Functional principal component analysis

Functional linear regression models

Functional nonlinear regression models

Clustering and classification of functional data

Time warping

Python packages

  • Python Python (programming language)

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Functional data analysis

Nodes63
Edges62
Triples55
Avg. degree1.97
Density0.031746
Components1

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Functional data analysis

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related to Further reading · 34
Functional data analysis → Annual Review, Applications, Category, Eubank, Functional, Functional Data, Functional Regression, Huang, Inference, Introduction, ISBN, Its Application, John Wiley, Kokoszka, Linear Operators, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Ltd, New York
related to history · 12
Functional data analysis → Dauxois, Functional, Grenander, James, Karhunen, Karhunen-Loève, Kleffe, More, Pousse, Ramsay, The, They

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Important terminology

functional displaystyle data function linear model functions regression models analysis random time mathbb also mean process warping stochastic one variation

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SubjectPredicateObjectConfidenceSrc
the space of square-integrable functions L 2instance ofis a separable Hilbert space0.80text
curse of dimensionalityinstance ofDevelopments towards fully nonparametric regression models for functional data encounter problems0.80text
speech recognitioninstance ofused for applications0.80text
peak locations to an average locationinstance ofwhich aligns special features0.80text
peak or trough locations in functions or derivatives are aligned to their average locations on the template functioninstance ofSpecial features0.80text
inferenceinstance ofand among other tasks0.80text
classificationinstance ofand among other tasks0.80text
regression or clustering of functional data.scikit-fda R packagesSome packages can handle functional data under both denseinstance ofand among other tasks0.80text
longitudinal designs.fdarefundfdapaceFDboostclassiFuncfda.uscdtwfdasrvf See alsoFunctional principal component analysisKarhuneninstance ofand among other tasks0.80text
Functional data analysisrelated to Further readingRamsay0.60section
Functional data analysisrelated to Further readingSilverman0.60section
Functional data analysisrelated to Further readingFunctional0.60section

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