Multidimensional CX Decomposition of Tensors

The decomposition in terms of column space is used to reduce complexity and preserve the initial information contained in the data tensor. In this paper, we propose a multidimensional column-space decomposition to perform low rank approximation of tensors based on the CX decomposition for matrices. An algorithm is also presented to perform the approximation of the tensor based on the l 2 -norm. Monte Carlo simulation results are provided to...