Tensors : A brief introduction

Abstract

Tensor decompositions are at the core of many blind source separation (BSS) algorithms, either explicitly or implicitly. In particular, the canonical polyadic (CP) tensor decomposition plays a central role in the identification of underdetermined mixtures. Despite some similarities, CP and singular value decomposition (SVD) are quite different. More generally, tensors and matrices enjoy different properties, as pointed out in this brief introduction. © 1991-2012 IEEE.