MFPCA: Multivariate Functional Principal Component Analysis for Data Observed on Different Dimensional Domains
Version 1.0-1

Calculate a multivariate functional principal component analysis for data observed on different dimensional domains. The estimation algorithm relies on univariate basis expansions for each element of the multivariate functional data. Multivariate and univariate functional data objects are represented by S4 classes for this type of data implemented in the package 'funData'.

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AuthorClara Happ [aut, cre]
Date of publication2016-08-12 12:36:25
MaintainerClara Happ <clara.happ@stat.uni-muenchen.de>
LicenseGPL-2
Version1.0-1
Package repositoryView on CRAN
InstallationInstall the latest version of this package by entering the following in R:
install.packages("MFPCA")

Man pages

calcBasisIntegrals: Utility function that calculates matrix of basis-scalar...
calcMFPCA: Internal function that implements the MFPCA algorithm for...
dct2D: Calculate and threshold DCT for an image
dct3D: Calculate and threshold DCT for an 3D image
dctBasis2D: Calculate a cosine basis representation for functional data...
dctFunction2D: Calculate linear combinations of orthonormal cosine basis...
expandBasisFunction: Calculate a linear combination of arbitrary basis function
FCP_TPA: The functional CP-TPA algorithm
fcptpaBasis: Calculate a smooth PCA representaion for functional data on...
findAlphaVopt: Find the optimal smoothing parameters in FCP_TPA using GCV
fpcaBasis: Calculate a functional principal component basis...
gcv: Generalized cross-validation for the FCP-TPA algorithm
idct2D: Calculate an inverse DCT for an image
idct3D: Calculate an inverse DCT for a 3D image
maxeig: Compute the largest eigenvalue and associated eigenvector of...
MFPCA: Multivariate functional principal component analysis for...
normVec: Calculate the euclidean norm of a vector
PACE: Univariate functional principal component analysis by...
splineBasis1D: Calculate a spline basis decomposition for functional data on...
splineBasis2D: Calculate a spline basis representation for functional data...
splineFunction1D: Calculate linear combinations of spline basis functions on...
splineFunction2D: Calculate linear combinations of spline basis functions on...
ttv: Tensor times vector calculation
ttvCalculation: Internal function for the Tensor times Vector calculation
UMPCA: UMPCA: Uncorrelated Multilinear Principle Component Analysis
umpcaBasis: Calculate an uncorrelated multilinear principal component...
univDecomp: Univariate basis decomposition
univExpansion: Calculate a univariate basis expansion

Functions

FCP_TPA Man page Source code
MFPCA Man page Source code
PACE Man page Source code Source code
UMPCA Man page Source code
calcBasisIntegrals Man page Source code
calcMFPCA Man page Source code
dct2D Man page Source code
dct3D Man page Source code
dctBasis2D Man page Source code
dctBasis3D Man page Source code
dctFunction2D Man page Source code
dctFunction3D Man page Source code
expandBasisFunction Man page Source code
fcptpaBasis Man page Source code
findAlphaVopt Man page Source code
findAlphaWopt Man page Source code
fpcaBasis Man page Source code
gcv Man page Source code
idct2D Man page Source code
idct3D Man page Source code
makeDiffOp Source code
maxeig Man page Source code
normVec Man page Source code
onUnload Source code
splineBasis1D Man page Source code
splineBasis1Dpen Man page Source code
splineBasis2D Man page Source code
splineBasis2Dpen Man page Source code
splineFunction1D Man page Source code
splineFunction2D Man page Source code
splineFunction2Dpen Man page Source code
ttv Man page Source code
ttvCalculation Man page Source code
umpcaBasis Man page Source code
univDecomp Man page Source code
univExpansion Man page Source code

Files

inst
inst/CITATION
configure.ac
tests
tests/testthat.R
tests/testthat
tests/testthat/test_fftw.R
tests/testthat/test_univDecomp.R
tests/testthat/test_MFPCA_calculation.R
tests/testthat/test_FCP_TPA.R
tests/testthat/test_univExpansion.R
src
src/dct2D.c
src/Makevars.in
src/dct3D.c
NAMESPACE
R
R/univDecomp.R
R/MFPCA_calculation.R
R/univPCA.R
R/FCP_TPA.R
R/UMPCA.R
R/univariateExpansions.R
MD5
DESCRIPTION
man
man/splineBasis1D.Rd
man/splineFunction1D.Rd
man/splineFunction2D.Rd
man/FCP_TPA.Rd
man/MFPCA.Rd
man/umpcaBasis.Rd
man/calcBasisIntegrals.Rd
man/dctBasis2D.Rd
man/expandBasisFunction.Rd
man/calcMFPCA.Rd
man/splineBasis2D.Rd
man/fcptpaBasis.Rd
man/fpcaBasis.Rd
man/idct2D.Rd
man/dct3D.Rd
man/ttvCalculation.Rd
man/dct2D.Rd
man/univDecomp.Rd
man/ttv.Rd
man/findAlphaVopt.Rd
man/dctFunction2D.Rd
man/maxeig.Rd
man/UMPCA.Rd
man/gcv.Rd
man/idct3D.Rd
man/normVec.Rd
man/univExpansion.Rd
man/PACE.Rd
cleanup
MFPCA documentation built on May 20, 2017, 4:42 a.m.