CORDIS Project
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This project focuses on the mathematical study of tensors, particularly their decomposition into simpler components. It aims to develop algorithms for calculating the rank of structured tensors, which have applications in signal processing, data analysis, and telecommunications.
Tensors play a wide role in numerous application areas as Signal Processing for Telecommunications, Arithmetic Complexity or Data Analysis.
In some applications tensors may be completely symmetric, or symmetric only in some modes, or may not be symmetric.
In most of these applications, the decomposition of a tensor into a sum of rank-1 terms is relevant, since tensors of interest have a reduced rank.
Most of them are structured i.e. they are either symmetric or enjoy some index-invariance.
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INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE
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