Stable Recovery of Sparsely Corrupted Signals Through Justice Pursuit De-Noising
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Publication:6191886
DOI10.4208/jcm.2204-m2021-0333OpenAlexW4361800431MaRDI QIDQ6191886
Ningning Li, Huanmin Ge, Chen, Wengu
Publication date: 12 February 2024
Published in: Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/jcm.2204-m2021-0333
Ill-posedness and regularization problems in numerical linear algebra (65F22) Convex programming (90C25) Approximation algorithms (68W25)
Cites Work
- A mathematical introduction to compressive sensing
- Democracy in action: quantization, saturation, and compressive sensing
- On the \(\ell_1\)-norm invariant convex \(k\)-sparse decomposition of signals
- Extensions of compressed sensing
- Compressed sensing and matrix completion with constant proportion of corruptions
- Iterative hard thresholding for compressed data separation
- Sharp RIP bound for sparse signal and low-rank matrix recovery
- Stable restoration and separation of approximately sparse signals
- Sparse recovery with coherent tight frames via analysis Dantzig selector and analysis LASSO
- Optimal RIP bounds for sparse signals recovery via \(\ell_p\) minimization
- The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder).
- Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA)
- Probabilistic Recovery Guarantees for Sparsely Corrupted Signals
- Exact Recoverability From Dense Corrupted Observations via $\ell _{1}$-Minimization
- Robust principal component analysis?
- Graph Implementations for Nonsmooth Convex Programs
- Decoding by Linear Programming
- Recovery of Exact Sparse Representations in the Presence of Bounded Noise
- Greed is Good: Algorithmic Results for Sparse Approximation
- Just relax: convex programming methods for identifying sparse signals in noise
- Split Bregman Methods and Frame Based Image Restoration
- A fast super-resolution reconstruction algorithm for pure translational motion and common space-invariant blur
- A Proof of Conjecture on Restricted Isometry Property Constants $\delta _{tk}\ \left(0<t<\frac {4}{3}\right)$
- Compressed Sensing with Sparse Corruptions: Fault-Tolerant Sparse Collocation Approximations
- Uniform Recovery Bounds for Structured Random Matrices in Corrupted Compressed Sensing
- Recovery of Sparsely Corrupted Signals
- Uncertainty Relations and Sparse Signal Recovery for Pairs of General Signal Sets
- Dense Error Correction Via $\ell^1$-Minimization
- Corrupted Sensing: Novel Guarantees for Separating Structured Signals
- Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices
- Compressed Data Separation With Redundant Dictionaries
- Super-Resolution With Sparse Mixing Estimators
- Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ 1 minimization
- Stable signal recovery from incomplete and inaccurate measurements
- Compressed sensing