Convergence and stability of iteratively reweighted least squares for low-rank matrix recovery
DOI10.3934/ipi.2017030zbMath1368.65060OpenAlexW2634020449MaRDI QIDQ2360780
Publication date: 12 July 2017
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2017030
algorithmstabilityconvergencenumerical experimentsnoisy measurementsiteratively reweighted least squaresnuclear norm minimizationsparse signal recoverylow rank matrix recoverymatrix restricted isometry property
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Iterative numerical methods for linear systems (65F10) Matrix completion problems (15A83)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A perturbation inequality for concave functions of singular values and its applications in low-rank matrix recovery
- The restricted isometry property and its implications for compressed sensing
- Sparse recovery by non-convex optimization - instance optimality
- Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\)
- Convergence of projected Landweber iteration for matrix rank minimization
- Convergence analysis of projected gradient descent for Schatten-\(p\) nonconvex matrix recovery
- Exact matrix completion via convex optimization
- Guarantees of Riemannian Optimization for Low Rank Matrix Recovery
- Improved Iteratively Reweighted Least Squares for Unconstrained Smoothed $\ell_q$ Minimization
- Graph Implementations for Nonsmooth Convex Programs
- New and Improved Johnson–Lindenstrauss Embeddings via the Restricted Isometry Property
- Sparse Optimization with Least-Squares Constraints
- Low-rank Matrix Recovery via Iteratively Reweighted Least Squares Minimization
- Decoding by Linear Programming
- Interior-Point Method for Nuclear Norm Approximation with Application to System Identification
- Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
- Iteratively reweighted least squares minimization for sparse recovery
- Convergence and Stability of Iteratively Re-weighted Least Squares Algorithms
- On the Performance of Sparse Recovery Via $\ell_p$-Minimization $(0 \leq p \leq 1)$
- Tight Oracle Inequalities for Low-Rank Matrix Recovery From a Minimal Number of Noisy Random Measurements
- Recovering Low-Rank Matrices From Few Coefficients in Any Basis
- The Power of Convex Relaxation: Near-Optimal Matrix Completion
- Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices
- Restricted $p$-Isometry Properties of Nonconvex Matrix Recovery
- A Simpler Approach to Matrix Completion
- Low-rank matrix completion using alternating minimization
- Phase Retrieval via Matrix Completion
This page was built for publication: Convergence and stability of iteratively reweighted least squares for low-rank matrix recovery