Cover Image

Decomposing tensors via rank-one approximations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ribot, Alvaro, Horobet, Emil, Seigal, Anna, Turatti, Ettore Teixeira
Format:	Preprint
Published:	2024
Subjects:	Algebraic Geometry Spectral Theory 14N07, 15A18, 15A69
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On Waring rank jumps via critical rank-one approximations
by: Oneto, Alessandro, et al.
Published: (2026)

On defective spans of singular vector tuples beyond the boundary format
by: Turatti, Ettore Teixeira, et al.
Published: (2026)

Orthogonal eigenvectors and singular vectors of tensors
by: Ribot, Alvaro, et al.
Published: (2025)

When does subtracting a rank-one approximation decrease tensor rank?
by: Horobet, Emil, et al.
Published: (2023)

Multilinear Hyperquiver Representations
by: Muller, Tommi, et al.
Published: (2023)

Decomposition loci of tensors
by: Bernardi, Alessandra, et al.
Published: (2024)

Recursive Koszul flattenings of determinant and permanent tensors
by: Han, Jong In, et al.
Published: (2025)

Decompositions of powers of quadrics
by: Flavi, Cosimo
Published: (2024)

Decompositions and Terracini loci of cubic forms of low rank
by: Chiantini, Luca, et al.
Published: (2023)

Weddle loci of linear systems of quadrics and the rank of partially symmetric tensors
by: Chiantini, Luca, et al.
Published: (2025)

On defectivity of joins, reducible secants and Fröberg's conjecture
by: Blomenhofer, Alexander, et al.
Published: (2025)

Rank and symmetries of signature tensors
by: Galuppi, Francesco, et al.
Published: (2024)

Waring decompositions of special binomials
by: Chiantini, Luca, et al.
Published: (2025)

A new bound on the rank of tensor product of W-states
by: Canino, S., et al.
Published: (2025)

Real subrank of order-three tensors
by: Biaggi, Benjamin, et al.
Published: (2025)

Superfat points and associated tensors
by: Canino, Stefano, et al.
Published: (2023)

Cactus barriers
by: Buczyński, Jarosław
Published: (2026)

Polynomials of small slice rank and strength
by: Flavi, Cosimo, et al.
Published: (2025)

Linear preservers of secant varieties and other varieties of tensors
by: Gesmundo, Fulvio, et al.
Published: (2024)

The border rank of the $4 \times 4$ determinant tensor is twelve
by: Han, Jong In, et al.
Published: (2025)

Bronowski's conjecture and the identifiability of projective varieties
by: Massarenti, Alex, et al.
Published: (2022)

Secant varieties of Segre-Veronese varieties $\mathbb{P}^m\times\mathbb{P}^n$ embedded by $\mathcal{O}(1,2)$ are non-defective for $n\gg m^3$, $m\geq3$
by: Doležálek, Matěj, et al.
Published: (2025)

Detecting Direct Sums of Tensors and Their Limits
by: Canino, S., et al.
Published: (2025)

Nonlinear methods for tensors: determinantal equations for secant varieties beyond cactus
by: Doležálek, Matěj, et al.
Published: (2026)

Apolarity for border cactus decompositions
by: Buczyńska, Weronika, et al.
Published: (2026)

Identifiability of overcomplete independent component analysis
by: Wang, Kexin, et al.
Published: (2024)

Generalized Additive Decompositions of Symmetric Tensors
by: Barrilli, Enrica, et al.
Published: (2025)

Exact values of generic subrank
by: Pielasa, Paweł, et al.
Published: (2024)

Neural Learning of Fast Matrix Multiplication Algorithms: A StrassenNet Approach
by: Andreini, Paolo, et al.
Published: (2026)

Robust Eigenvectors of Symmetric Tensors
by: Muller, Tommi, et al.
Published: (2021)

Symmetrization maps and minimal border rank Comon's conjecture
by: Mańdziuk, Tomasz, et al.
Published: (2024)

Border rank bounds for $GL(V)$-invariant tensors arising from matrices of constant rank
by: Wu, Derek
Published: (2024)

Determinantal computation of minimal local GADs
by: Fité, Oriol Reig, et al.
Published: (2026)

Gaussian Mixture Identifiability from degree 6 Moments
by: Blomenhofer, Alexander Taveira
Published: (2023)

Nondefectivity of invariant secant varieties
by: Blomenhofer, Alexander Taveira, et al.
Published: (2023)

Symmetric powers: structure, smoothability, and applications
by: Flavi, Cosimo, et al.
Published: (2024)

Partial Degeneration of Tensors
by: Christandl, Matthias, et al.
Published: (2022)

Homotopy techniques for tensor decomposition and perfect identifiability
by: Hauenstein, Jonathan D., et al.
Published: (2014)

Isotropic Rank of Harmonic Polynomials
by: Canino, S., et al.
Published: (2025)

On the singular loci of higher secant varieties of Veronese embeddings
by: Furukawa, Katsuhisa, et al.
Published: (2021)