Real identifiability vs. complex identifiability

DOI10.1080/03081087.2017.1347137zbMath1393.14052arXiv1608.07197OpenAlexW3106291355MaRDI QIDQ4643725

Luca Chiantini, Elena Angelini, Cristiano Bocci

Publication date: 28 May 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07197

zbMATH Keywords

elliptic curvesidentifiabilitytensor decompositionreal rank

Mathematics Subject Classification ID

Real algebraic sets (14P05) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69)

Related Items (15)

Catalecticant intersections and confinement of decompositions of forms ⋮ On the identifiability of ternary forms ⋮ Labels of real projective varieties ⋮ Effective Criteria for Specific Identifiability of Tensors and Forms ⋮ On the description of identifiable quartics ⋮ On Uniqueness and Computation of the Decomposition of a Tensor into Multilinear Rank-$(1,L_r,L_r)$ Terms ⋮ Complete intersections on Veronese surfaces ⋮ The average condition number of most tensor rank decomposition problems is infinite ⋮ Real identifiability vs. complex identifiability ⋮ Waring decompositions and identifiability via Bertini and Macaulay2 software ⋮ A note on nonclosed tensor formats ⋮ On the algebraic boundaries among typical ranks for real binary forms ⋮ Pencil-Based Algorithms for Tensor Rank Decomposition are not Stable ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition ⋮ Reconstruction of a homogeneous polynomial from its additive decompositions when identifiability fails

Uses Software

• Bertini

Cites Work

• Unnamed Item
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• Real identifiability vs. complex identifiability
• On Generic Identifiability of 3-Tensors of Small Rank
• On the identifiability of binary Segre products
• Unique decomposition for a polynomial of low rank
• An Algorithm For Generic and Low-Rank Specific Identifiability of Complex Tensors
• ON THE CONCEPT OF k-SECANT ORDER OF A VARIETY

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