5. Conclusion

The use of tensors in the world of engineering has undeniable advantages: certain problems had remained unsolvable without their help. This is particularly true of blind source separation, where the key property is the uniqueness of the CPD.

What happens when we go from the order D = 2 to the order D = 3? The matrix SVD M = UΣV ^H can be seen both as a CPD where the matrix-factors U and V ^* have orthogonal columns, or as an MLSVD where the core tensor Σ is diagonal. When we go from the order...

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Appendix

Bibliographical sources

(1) - HACKBUSCH (W.) - Tensor Spaces and Numerical Tensor Calculus . - Series in Computational Mathematics. Berlin, Heidelberg: Springer (2012). ISBN: 978-3-642-28026-9.
(2) - RUIZ-TOLOSA (J.R., CASTILLO (E.) - From Vectors to Tensors ...

Software

H. BECKER et al - Brain source IMaging Algorithms (BIMA). Distributed brain source localization software, IDDN. FR.001.200011.000. S.P.2016.000.31230. May 2016.

Patents

P. Comon. Method and device for blind equalization of a communication channel . Patent no 9806709, registered for Eurecom Institute. May 1998.

L. ALBERA et al. Method for High-Order Blind Identification of Mixtures of Sources . patent registered for Thales Communications, FR 03.04041. US extension US2004-0260522A1, Dec....