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PTAk (version 2.0.0)

Principal Tensor Analysis on k Modes

Description

A multiway method to decompose a tensor (array) of any order, as a generalisation of SVD also supporting non-identity metrics and penalisations. 2-way SVD with these extensions is also available. The package includes also some other multiway methods: PCAn (Tucker-n) and PARAFAC/CANDECOMP with these extensions.

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Version

Install

install.packages('PTAk')

Monthly Downloads

567

Version

2.0.0

License

GPL (>= 2)

Maintainer

Didier Leibovici

Last Published

March 25th, 2023

Functions in PTAk (2.0.0)

FCA2

Correspondence Analysis for 2-way tables
CauRuimet

Robust estimation of within group varinace-covariance
CANDPARA

CANonical DECOMPosition analysis and PARAllel FACtor analysis
COS2-CTR

Interpretation summaries
FCAmet

Tool used in Generalisation of Correspondence Analysis for k-way tables
CONTRACTION

Contraction of two tensors
FCAk

Generalisation of Correspondence Analysis for k-way tables
PCAn

Principal Component Analysis on n modes
INITIA

Initialisation used in SINGVA
PROJOT

Orthogonal Tensor projection
datasets

data used for demo in SVDgen, PTA3
TENSELE

Elementary Tensor product
SINGVA

Optimisation algorithm RPVSCC
PTAk

Principal Tensor Analysis on k modes
SVDgen

SVD with metrics and smoothing approximation
REBUILD

Build an approximation of the tensor of any order
PTA3

Principal Tensor Analysis on 3 modes
PTAk-internal

Internal PTAk functions
howtoPTAk

howto for Principal Tensors Analysis of a k-modes Tensor
plot.PTAk

Plot a PTAk object
preprocessings

Few useful functions for preprocessing arrays
summary.PTAk

Summary of a PTA-k modes analysis
APSOLU3

Associated 3-modes Principal Tensors of a 3-modes Principal Tensor
APSOLUk

Associated k-modes Principal Tensors of a k-modes Principal Tensor