Multidimensional CX Decomposition of Tensors

• Published in: 2019 Workshop on Communication Networks and Power Systems (WCNPS) pp. 1 - 4
• Main Authors: Couras, Maria F. K. B., de Pinho, Pablo H., Favier, Gerard, da Costa, Joao P. C. L., Zarzoso, Vicente, de Almeida, Andre L. F.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.10.2019
• Subjects: Approximation algorithms; column space; Communication networks; Complexity theory; Conferences; Costs; low rank approximation; Matrix decomposition; Monte Carlo methods; Multidimensional CX Decomposition; Power systems; 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....