Orthogonal and unitary tensor decomposition from an algebraic perspective
From MaRDI portal
Publication:1686310
DOI10.1007/s11856-017-1588-6zbMath1380.15022arXiv1512.08031OpenAlexW2963872471MaRDI QIDQ1686310
Jan Draisma, Elina Robeva, Ada Boralevi, Emil Horobeţ
Publication date: 21 December 2017
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.08031
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Vector and tensor algebra, theory of invariants (15A72)
Related Items (16)
Robust Eigenvectors of Symmetric Tensors ⋮ Orthogonal decomposition of tensor trains ⋮ Discrete Fourier transform tensors and their eigenvalues ⋮ The set of orthogonal tensor trains ⋮ Condition numbers for the tensor rank decomposition ⋮ On Tensors That Are Determined by Their Singular Tuples ⋮ Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations ⋮ Successive partial-symmetric rank-one algorithms for almost unitarily decomposable conjugate partial-symmetric tensors ⋮ Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures ⋮ Singular vectors of orthogonally decomposable tensors ⋮ Unnamed Item ⋮ Diagonalizable higher degree forms and symmetric tensors ⋮ On approximate diagonalization of third order symmetric tensors by orthogonal transformations ⋮ Orthogonal tensor decomposition and orbit closures from a linear algebraic perspective ⋮ High order singular value decomposition for plant diversity estimation ⋮ Best rank-\(k\) approximations for tensors: generalizing Eckart-Young
Uses Software
Cites Work
- Unnamed Item
- Independent component analysis, a new concept?
- Block tensors and symmetric embeddings
- Syzygies of Segre embeddings and \(\Delta\)-modules
- Orthogonal Tensor Decompositions
- Rank-One Approximation to High Order Tensors
- Tensor decompositions for learning latent variable models
- On Generic Nonexistence of the Schmidt--Eckart--Young Decomposition for Complex Tensors
- STABILITY PATTERNS IN REPRESENTATION THEORY
- A Constructive Algorithm for Decomposing a Tensor into a Finite Sum of Orthonormal Rank-1 Terms
- On the Tensor SVD and the Optimal Low Rank Orthogonal Approximation of Tensors
- A Counterexample to the Possibility of an Extension of the Eckart--Young Low-Rank Approximation Theorem for the Orthogonal Rank Tensor Decomposition
- A Multilinear Singular Value Decomposition
- Sequential Unfolding SVD for Tensors With Applications in Array Signal Processing
- Most Tensor Problems Are NP-Hard
- Lie groups beyond an introduction
This page was built for publication: Orthogonal and unitary tensor decomposition from an algebraic perspective