RIP-based performance guarantee for low-tubal-rank tensor recovery
From MaRDI portal
Publication:2306402
DOI10.1016/j.cam.2020.112767OpenAlexW3003813531MaRDI QIDQ2306402
Feng Zhang, Wendong Wang, Yao Wang, Jian-Wen Huang, Jian-Jun Wang
Publication date: 23 March 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.01774
tensor singular value decompositionregularizedlow-rank tensor recoverytensor restricted isometry property
Convex programming (90C25) Differential geometric aspects in vector and tensor analysis (53A45) Multilinear algebra, tensor calculus (15A69) Numerical solution to inverse problems in abstract spaces (65J22)
Related Items
Robust Recovery of Low-Rank Matrices and Low-Tubal-Rank Tensors from Noisy Sketches, Nonlocal robust tensor recovery with nonconvex regularization *
Uses Software
Cites Work
- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- Factorization strategies for third-order tensors
- The restricted isometry property and its implications for compressed sensing
- Sharp RIP bound for sparse signal and low-rank matrix recovery
- Stable recovery of analysis based approaches
- One condition for solution uniqueness and robustness of both \(\ell_1\)-synthesis and \(\ell_1\)-analysis minimizations
- Low rank tensor recovery via iterative hard thresholding
- Stability and robustness of \(\ell_1\)-minimizations with Weibull matrices and redundant dictionaries
- Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed $\ell_q$ Minimization
- Decoding by Linear Programming
- Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
- Stable Recovery of Sparse Signals Via Regularized Minimization
- A Proof of Conjecture on Restricted Isometry Property Constants $\delta _{tk}\ \left(0<t<\frac {4}{3}\right)$
- Compressive Sensing of Sparse Tensors
- Exact Tensor Completion Using t-SVD
- An Order-$p$ Tensor Factorization with Applications in Imaging
- Minimization of $\ell_{1-2}$ for Compressed Sensing
- Tight Oracle Inequalities for Low-Rank Matrix Recovery From a Minimal Number of Noisy Random Measurements
- Third-Order Tensors as Operators on Matrices: A Theoretical and Computational Framework with Applications in Imaging
- Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices
- Group sparse optimization via $\ell_{p,q}$ regularization