Waring, tangential and cactus decompositions
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Publication:2204934
DOI10.1016/j.matpur.2020.07.003zbMath1448.14051arXiv1812.02612OpenAlexW3102921306MaRDI QIDQ2204934
Alessandra Bernardi, Daniele Taufer
Publication date: 16 October 2020
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.02612
Multilinear algebra, tensor calculus (15A69) Secant varieties, tensor rank, varieties of sums of powers (14N07)
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Uses Software
Cites Work
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- Eigenvectors of tensors and algorithms for Waring decomposition
- A comparison of different notions of ranks of symmetric tensors
- Decomposition of homogeneous polynomials with low rank
- Grover's algorithm and the secant varieties
- Symmetric tensor decomposition
- Computing symmetric rank for symmetric tensors
- On the rank of a binary form
- On the ranks and border ranks of symmetric tensors
- Secant varieties to osculating varieties of Veronese embeddings of \(\mathbb P^n\)
- MA identification using fourth order cumulants
- Polynomial-exponential decomposition from moments
- Finite schemes and secant varieties over arbitrary characteristic
- Tensor decomposition and homotopy continuation
- On polynomials with given Hilbert function and applications
- Power sums, Gorenstein algebras, and determinantal loci. With an appendix `The Gotzmann theorems and the Hilbert scheme' by Anthony Iarrobino and Steven L. Kleiman
- On the cactus rank of cubic forms
- General tensor decomposition, moment matrices and applications
- Identifiability of homogeneous polynomials and Cremona transformations
- Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
- Algebraic stories from one and from the other pockets
- The Hitchhiker guide to: secant varieties and tensor decomposition
- Waring-like decompositions of polynomials. I.
- On the rank of a symmetric form
- Phylogenetic ideals and varieties for the general Markov model
- Ideals of varieties parameterized by certain symmetric tensors
- On the secant varieties to the tangential varieties of a Veronesean
- Stratification of the fourth secant variety of Veronese varieties via the symmetric rank
- Tensor ranks on tangent developable of Segre varieties
- Algebraic geometry tools for the study of entanglement: an application to spin squeezed states
- Singularities of linear systems and the Waring problem
- Matrix product states and the quantum max-flow/min-cut conjectures
- Most secant varieties of tangential varieties to Veronese varieties are nondefective
- Algorithms for computing cubatures based on moment theory
- Multihomogeneous polynomial decomposition using moment matrices
- Osculating Varieties of Veronese Varieties and Their Higher Secant Varieties
- Geometry and Complexity Theory
- Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes
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