Fall 2014

The Geometry of the Identifiability of Tensors

Monday, November 10th, 2014 10:20 am11:10 am

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The identifiability problem for tensors consist in determining which tensors have a unique minimal decomposition as a sum of tensors of rank 1 (up to scaling and reordering). It turns out that the problem, both for general tensors and for symmetric tensors, can be also attached with methods of projective Geometry, related with the study of tangent spaces to secant varieties. We will review briefly the geometric background and outline the construction of recent algorithms to detect the identifiability, together with a sketch of achievements in the topic, based on the geometric setting.