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• W2899011048 abstract "We use methods of algebraic geometry to find new, effective methods for detecting the identifiability of symmetric tensors. In particular, for ternary symmetric tensors T of degree 7, we use the analysis of the Hilbert function of a finite projective set, and the Cayley–Bacharach property, to prove that, when the Kruskal’s ranks of a decomposition of T are maximal (a condition which holds outside a Zariski closed set of measure 0), then the tensor T is identifiable, i.e., the decomposition is unique, even if the rank lies beyond the range of application of both the Kruskal’s and the reshaped Kruskal’s criteria." @default.
• W2899011048 created "2018-11-09" @default.
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• W2899011048 creator A5053962130 @default.
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• W2899011048 date "2019-06-22" @default.
• W2899011048 modified "2023-10-14" @default.
• W2899011048 title "Identifiability for a Class of Symmetric Tensors" @default.
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• W2899011048 doi "https://doi.org/10.1007/s00009-019-1363-5" @default.
• W2899011048 hasPublicationYear "2019" @default.
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