Gives the approximation of a previously analysed tensor using its given decomposition.
REBUILD(solutions,nTens=1:2,testvar=1 ,redundancy=FALSE)
A tensor with dimensions as solutions[[k]][["datanam"]]
.
a PTAk
object
a vector of identifying positions (numbers given in summary
) for the choice of Principal Tensors to use
control within nTens
used Principal Tensor with minimum percent of variability explained
logical to take into account (within nTens
) PT tested
redundant during analysis (seealso RESUM
) if TRUE
.
Didier G. Leibovici
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.
PTAk