An algorithm for the non-identifiability of rank-3 tensors
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Publication:6176308
DOI10.1007/s40574-023-00352-0zbMath1524.14115arXiv2211.06384OpenAlexW4324320961MaRDI QIDQ6176308
Publication date: 22 August 2023
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.06384
Cites Work
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- Tensor Decompositions and Applications
- Identifiability of large phylogenetic mixture models
- Refined methods for the identifiability of tensors
- Set-theoretic defining equations of the tangential variety of the Segre variety
- Ranks derived from multilinear maps
- Identifiability of parameters in latent structure models with many observed variables
- Some remarks on nilpotent orbits
- Component models for three-way data: An alternating least squares algorithm with optimal scaling features
- Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
- Identifiability beyond Kruskal's bound for symmetric tensors of degree 4
- Effective identifiability criteria for tensors and polynomials
- On the dimension of contact loci and the identifiability of tensors
- Quantum physics and geometry
- A new class of non-identifiable skew-symmetric tensors
- On the ideals of secant varieties of Segre varieties
- Ranks of tensors and a generalization of secant varieties
- Identifiability of homogeneous polynomials and Cremona transformations
- Identifiability of rank-3 tensors
- On secant defectiveness and identifiability of Segre-Veronese varieties
- Homotopy techniques for tensor decomposition and perfect identifiability
- Discriminants, resultants, and multidimensional determinants
- Orbits and their closures in the spaces $ \mathbb C^{k_1}\otimes\dots\otimes\mathbb C^{k_r}$
- When are Overcomplete Topic Models Identifiable? Uniqueness of Tensor Tucker Decompositions with Structured Sparsity
- On the Uniqueness of the Canonical Polyadic Decomposition of Third-Order Tensors---Part I: Basic Results and Uniqueness of One Factor Matrix
- Algebraic geometry tools for the study of entanglement: an application to spin squeezed states
- A New Truncation Strategy for the Higher-Order Singular Value Decomposition
- Canonical Polyadic Decomposition of Third-Order Tensors: Reduction to Generalized Eigenvalue Decomposition
- Tensor decompositions for learning latent variable models
- A uniqueness result on the decompositions of a bi-homogeneous polynomial
- A Decomposition for Three-Way Arrays
- New Uniqueness Conditions for the Canonical Polyadic Decomposition of Third-Order Tensors
- Induction for secant varieties of Segre varieties
- Optimal Evaluation of Pairs of Bilinear Forms
- An Addendum to Kronecker’s Theory of Pencils
- A Multilinear Singular Value Decomposition
- On Generic Identifiability of 3-Tensors of Small Rank
- On the identifiability of binary Segre products
- Tangential Weak Defectiveness and Generic Identifiability
- An Introduction to Algebraic Statistics with Tensors
- An Algorithm For Generic and Low-Rank Specific Identifiability of Complex Tensors
- Effective Criteria for Specific Identifiability of Tensors and Forms
- ON THE CONCEPT OF k-SECANT ORDER OF A VARIETY
- A generalization of Kruskal’s theorem on tensor decomposition
- From non-defectivity to identifiability
