PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Genericity and Rank Deficiency of High Order Symmetric Tensors
Pierre Comon, Bernard Mourrain, Lek-Heng Lim and Gene Golub
In: ICASSP2006, May 14-19, 2006, Toulouse, France.


Blind Identification of Under-Determined Mixtures (UDM) is involved in numerous applications, including Multi-Way factor Analysis (MWA) and Signal Processing. In the latter case, the use of High-Order Statistics (HOS) like Cumulants leads to the decomposition of symmetric tensors. Yet, little has been published about rank-revealing decompositions of symmetric tensors. Definitions of rank are discussed, and useful results on Generic Rank are proved, with the help of tools borrowed from Algebraic Geometry.

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EPrint Type:Conference or Workshop Item (Lecture)
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Learning/Statistics & Optimisation
Theory & Algorithms
ID Code:2324
Deposited By:Pierre Comon
Deposited On:22 November 2006