R: Build an approximation of the tensor of any order

REBUILD {PTAk}

R Documentation

Build an approximation of the tensor of any order

Description

Gives the approximation of a previously analysed tensor using its given decomposition.

Usage

 REBUILD(solutions,nTens=1:2,testvar=1 ,redundancy=FALSE)

Arguments

`solutions`	a `PTAk` object
`nTens`	a vector of identifying positions (numbers given in `summary`) for the choice of Principal Tensors to use
`testvar`	control within `nTens` used Principal Tensor with minimum percent of variability explained
`redundancy`	logical to take into account (within `nTens`) PT tested redundant during analysis (seealso `RESUM`) if `TRUE`.

Details

The function rebuilds the Principal Tensors, i.e. rank-one tensors of order the order of the tensor analysed, and add them up to build an approximation of the tensor analysed (according to the method used see method). This constitutes a best Least Squares (ordinary or "weighted" if metrics are used) approximation of datanam for a given orthogonal-rank r (number of principal tensors used), if and only if the singular values used are the r highest.

Value

A tensor with dimensions as solutions[[k]][["datanam"]].

Note

This function can be called for PARAFAC/CANDECOMP and PCAn. A specific rebuilt is implemented for this last one.

Author(s)

Didier G. Leibovici