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Tensors: a Brief Introduction

Pierre Comon 1
Abstract : Tensor decompositions are at the core of many Blind Source Separation (BSS) algorithms, either explicitly or implicitly. In particular, the Canonical Polyadic (CP) tensor decomposition plays a central role in identification of underdetermined mixtures. Despite some similarities, CP and Singular value Decomposition (SVD) are quite different. More generally, tensors and matrices enjoy different properties, as pointed out in this brief survey.
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Pierre Comon. Tensors: a Brief Introduction. IEEE Signal Processing Magazine, Institute of Electrical and Electronics Engineers, 2014, 31 (3), pp.44-53. ⟨10.1109/MSP.2014.2298533⟩. ⟨hal-00923279v4⟩

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