Tensor decomposition (original) (raw)

In multilinear algebra, a tensor decomposition is any scheme for expressing a tensor as a sequence of elementary operations acting on other, often simpler tensors. Many tensor decompositions generalize some matrix decompositions. The main tensor decompositions are: * tensor rank decomposition; * higher-order singular value decomposition; * Tucker decomposition; * matrix product states, and operators or tensor trains; * ; and * .