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The Higher-Order Singular Value Decomposition: Theory and an Application [Lecture Notes]

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2 Author(s)
G. Bergqvist ; Department of Mathematics Linkoping University SE-58183 Linkoping Sweden ; Erik G. Larsson

Tensor modeling and algorithms for computing various tensor decompositions (the Tucker/HOSVD and CP decompositions, as discussed here, most notably) constitute a very active research area in mathematics. Most of this research has been driven by applications. There is also much software available, including MATLAB toolboxes [4]. The objective of this lecture has been to provide an accessible introduction to state of the art in the field, written for a signal processing audience. We believe that there is good potential to find further applications of tensor modeling techniques in the signal processing field.

Published in:

IEEE Signal Processing Magazine  (Volume:27 ,  Issue: 3 )