Mode-m flattening

From HandWiki

In multilinear algebra, mode-m flattening[1] (also matrixizing, matricizing, or unfolding) is an operation that reshapes a tensor (a multi-way array) [math]\displaystyle{ \mathcal{A} }[/math] into a matrix denoted by [math]\displaystyle{ A_{[m]} }[/math] (a two-way array). Matrixizing may be regarded as a generalization of the mathematical concept of vectorization.


Applications

This operation is used widely in Parafac and HOSVD.


References