Multivariate Functional Principal Component Analysis for Data Observed on Different Dimensional Domains
Use a basis from package fda for univariate representation
Utility function that calculates matrix of basis-scalar products (one ...
Internal function that implements the MFPCA algorithm for given univar...
Check input of FCP TPA function
Calculate and threshold DCT for an image
Calculate and threshold DCT for an 3D image
Calculate a cosine basis representation for functional data on two- or...
Calculate linear combinations of orthonormal cosine basis functions on...
Calculate univariate functional PCA
Calculate a linear combination of arbitrary basis function
The functional CP-TPA algorithm
Calculate a smooth PCA representation for functional data on two-dimen...
Find the optimal smoothing parameters in FCP_TPA using GCV
Calculate a functional principal component basis representation for fu...
Generalized cross-validation for the FCP-TPA algorithm
Use given basis functions for univariate representation
Calculate an inverse DCT for an image
Calculate an inverse DCT for a 3D image
Compute the largest eigenvalue and associated eigenvector of a matrix ...
Multivariate functional principal component analysis for functions on ...
Calculate multivariate basis expansion
Calculate the euclidean norm of a vector
Univariate functional principal component analysis by smoothed covaria...
Plot MFPCA results
Function prediction based on MFPCA results
Print the results of a Multivariate Functional Principal Component Ana...
Print summary of a Multivariate Functional Principal Component Analysi...
Plot the Scores of a Multivariate Functional Principal Component Analy...
Scoreplot Generic
Screeplot for Multivariate Functional Principal Component Analysis
Calculate a spline basis decomposition for functional data on one-dime...
Calculate a spline basis representation for functional data on two-dim...
Calculate linear combinations of spline basis functions on one-dimensi...
Calculate linear combinations of spline basis functions on two-dimensi...
Sample stratified indices according to a factor variable
Summarize a Multivariate Functional Principal Component Analysis
Tensor times vector calculation
Internal function for the Tensor times Vector calculation
UMPCA: Uncorrelated Multilinear Principle Component Analysis
Calculate an uncorrelated multilinear principal component basis repres...
Univariate basis decomposition
Calculate a univariate basis expansion
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 (Happ & Greven, 2018) <doi:10.1080/01621459.2016.1273115>. Multivariate and univariate functional data objects are represented by S4 classes for this type of data implemented in the package 'funData'. For more details on the general concepts of both packages and a case study, see Happ-Kurz (2020) <doi:10.18637/jss.v093.i05>.