| Paper: | SPTM-L6.3 | ||
| Session: | System Identification | ||
| Time: | Thursday, May 18, 10:40 - 11:00 | ||
| Presentation: | Lecture | ||
| Topic: | Signal Processing Theory and Methods: System Modeling, Representation, and Identification | ||
| Title: | Genericity and rank deficiency of high order symmetric tensors | ||
| Authors: | Pierre Comon, I3S Laboratory / CNRS / University of Nice-Sophia Antipolis, France; Bernard Mourrain, INRIA, France; Lek-Heng Lim, Gene Golub, Stanford University, United States | ||
| Abstract: | 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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