Quizzed article | REF: AF114 V1

Tensors in Data Sciences

Author: Pierre COMON

Publication date: November 10, 2021 | Lire en français

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4. Applications

In this section, we describe some applications of the approximate decompositions defined in Section 3. The first area of application we mentioned in Example 18 and paragraph 3.2 is not specific to tensors, since it concerns data denoising. In practice, we recommend denoising tensor data using truncated MLSVD as a pre-processing step. The applications we will now discuss are no exception, and prior denoising is usually necessary,...

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page Approximate tensor decompositions

Conclusion

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.

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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....