3. Approximate tensor decompositions

In real-life problems, measurements are noisy. Assuming that the noise is purely additive is appropriate most of the time, so we can assume that the tensor of the measured data is written as $T$ where $T_{i j k l m} = \sum_{p = 1}^{R_{1}} \sum_{q = 1}^{R_{2}} \sum_{r = 1}^{R_{3}}$

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Approximate tensor decompositions

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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 ...

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