Robust tensor completion using transformed tensor singular value decomposition
From MaRDI portal
Publication:3297092
DOI10.1002/nla.2299OpenAlexW3011789951MaRDI QIDQ3297092
Guang-Jing Song, Michael Kwok-Po Ng, Xiong-Jun Zhang
Publication date: 2 July 2020
Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.01113
sparsitylow-rankrobust tensor completiontransformed tensor singular value decompositionunitary transform matrix
Convex programming (90C25) Linear transformations, semilinear transformations (15A04) Numerical linear algebra (65F99)
Related Items
Tensor completion via fully-connected tensor network decomposition with regularized factors ⋮ Nonlinear transform induced tensor nuclear norm for tensor completion ⋮ An efficient algorithm for computing the approximate t-URV and its applications ⋮ An orthogonal equivalence theorem for third order tensors ⋮ Robust low transformed multi-rank tensor methods for image alignment ⋮ Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product ⋮ Tensor completion by multi-rank via unitary transformation ⋮ An efficient randomized fixed-precision algorithm for tensor singular value decomposition ⋮ Fully-connected tensor network decomposition for robust tensor completion problem ⋮ Approximation strategy based on the T-product for third-order quaternion tensors with application to color video compression ⋮ Tensor factorization via transformed tensor-tensor product for image alignment ⋮ A generalized non-convex method for robust tensor completion ⋮ A randomized algorithm for tensor singular value decomposition using an arbitrary number of passes ⋮ A Learnable Group-Tube Transform Induced Tensor Nuclear Norm and Its Application for Tensor Completion ⋮ Tensor Robust Principal Component Analysis via Tensor Fibered Rank and \({\boldsymbol{{l_p}}}\) Minimization ⋮ Quantum context-aware recommendation systems based on tensor singular value decomposition ⋮ Enhancing low-rank tensor completion via first-order and second-order total variation regularizations ⋮ Transformed singular values and spectral norms of third-order tensors ⋮ Proximal gradient algorithm for nonconvex low tubal rank tensor recovery ⋮ One-bit tensor completion via transformed tensor singular value decomposition ⋮ The nonconvex tensor robust principal component analysis approximation model via the weighted \(\ell_p\)-norm regularization ⋮ Decomposition for a quaternion tensor triplet with applications ⋮ Tensor Q-rank: new data dependent definition of tensor rank ⋮ Nonlocal robust tensor recovery with nonconvex regularization * ⋮ Riemannian conjugate gradient descent method for fixed multi rank third-order tensor completion ⋮ Acute perturbation for Moore-Penrose inverses of tensors via the T-product ⋮ Tensor completion via a generalized transformed tensor t-product decomposition without t-SVD ⋮ Multi-dimensional image recovery via fully-connected tensor network decomposition under the learnable transforms ⋮ Randomized Kaczmarz for tensor linear systems
