On generic identifiability of symmetric tensors of subgeneric rank
DOI10.1090/tran/6762zbMath1360.14021arXiv1504.00547OpenAlexW3104141160MaRDI QIDQ2970812
Nick Vannieuwenhoven, Luca Chiantini, Giorgio Ottaviani
Publication date: 31 March 2017
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.00547
Veronese embeddinghomogeneous polynomialtensor ranksymmetric tensor rankWaring decompositiongeneric identifiabilitypolynomial Waring decomposition
Vector and tensor algebra, theory of invariants (15A72) Computational aspects of higher-dimensional varieties (14Q15) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69)
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Cites Work
- Equations for secant varieties of Veronese and other varieties
- Eigenvectors of tensors and algorithms for Waring decomposition
- Refined methods for the identifiability of tensors
- Rank and optimal computation of generic tensors
- Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
- The projective geometry of the Gale transform.
- Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
- Identifiability of homogeneous polynomials and Cremona transformations
- Homotopy techniques for tensor decomposition and perfect identifiability
- On the Alexander-Hirschowitz theorem
- On the weak non-defectivity of Veronese embeddings of projective spaces
- On certain families of elliptic curves in projective space
- Weakly defective varieties
- One example of general unidentifiable tensors
- On the Uniqueness of the Canonical Polyadic Decomposition of Third-Order Tensors---Part II: Uniqueness of the Overall Decomposition
- Tensor decompositions for learning latent variable models
- Singularities of linear systems and the Waring problem
- Pfaffian presentations of elliptic normal curves
- Base loci of linear systems and the Waring problem
- Induction for secant varieties of Segre varieties
- An Invariant Regarding Waring’s Problem for Cubic Polynomials
- On Generic Identifiability of 3-Tensors of Small Rank
- On the identifiability of binary Segre products
- An Algorithm For Generic and Low-Rank Specific Identifiability of Complex Tensors
- Symmetric Tensors and Symmetric Tensor Rank
- ON THE CONCEPT OF k-SECANT ORDER OF A VARIETY
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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