Decomposing tensors into frames

DOI10.1016/j.aam.2015.10.004zbMath1331.15019arXiv1504.08049OpenAlexW3105006123MaRDI QIDQ900984

Elina Robeva, Luke Oeding, Bernd Sturmfels

Publication date: 23 December 2015

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.08049

zbMATH Keywords

tensortight frameWaring decomposition

Mathematics Subject Classification ID

Determinantal varieties (14M12) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) General harmonic expansions, frames (42C15) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69) Computational aspects in algebraic geometry (14Q99)

Related Items (8)

Robust Eigenvectors of Symmetric Tensors ⋮ On the number of Waring decompositions for a generic polynomial vector ⋮ Real eigenstructure of regular simplex tensors ⋮ The effect of perturbations of frames and fusion frames on their redundancies ⋮ Eigenconfigurations of tensors ⋮ The algebraic matroid of the finite unit norm tight frame (funtf) variety ⋮ Eigenschemes and the Jordan canonical form ⋮ Eigenvectors of tensors -- a primer

Uses Software

• Macaulay2
• Bertini

Cites Work

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• Generic initial ideals and squeezed spheres
• On the Alexander-Hirschowitz theorem
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• ORBITOPES
• Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems
• Introduction to Finite Frame Theory
• Algebraic Geometry and Finite Frames
• Symmetric Tensors and Symmetric Tensor Rank
• Prolongations and Computational Algebra
• Connectivity and Irreducibility of Algebraic Varieties of Finite Unit Norm Tight Frames
• Equations for Lower Bounds on Border Rank

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