Compressed data separation via \(\ell_q\)-split analysis with \(\ell_\infty\)-constraint
DOI10.1007/S10114-024-2083-8zbMATH Open1546.94011MaRDI QIDQ6596308
Author name not available (Why is that?), Song Li, Junhong Lin
Publication date: 2 September 2024
Published in: Acta Mathematica Sinica, English Series (Search for Journal in Brave)
framescompressed sensingrestricted isometry propertydata separation\(\ell_q\)-split analysis Dantzig selector
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General harmonic expansions, frames (42C15) Approximation with constraints (41A29) Sampling theory in information and communication theory (94A20)
Cites Work
- Compressed sensing with coherent tight frames via \(l_q\)-minimization for \(0 < q \leq 1\)
- Compressed sensing with coherent and redundant dictionaries
- Simultaneous cartoon and texture inpainting
- A simple proof of the restricted isometry property for random matrices
- A sharp recovery condition for block sparse signals by block orthogonal multi-matching pursuit
- The cosparse analysis model and algorithms
- Compressed data separation via dual frames based split-analysis with Weibull matrices
- Iterative hard thresholding for compressed data separation
- Signal separation under coherent dictionaries and \(\ell_p\)-bounded noise
- Analysis of inpainting via clustered sparsity and microlocal analysis
- 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
- Stable recovery of analysis based approaches
- Optimal \(D\)-RIP bounds in compressed sensing
- Stability and robustness of \(\ell_1\)-minimizations with Weibull matrices and redundant dictionaries
- 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)
- \(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed?
- Atomic decomposition by basis pursuit
- Analysis Recovery With Coherent Frames and Correlated Measurements
- Restricted $q$-Isometry Properties Adapted to Frames for Nonconvex $l_q$-Analysis
- New and Improved Johnson–Lindenstrauss Embeddings via the Restricted Isometry Property
- Restricted isometry properties and nonconvex compressive sensing
- Image decomposition via the combination of sparse representations and a variational approach
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Decoding by Linear Programming
- Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
- Uncertainty principles and ideal atomic decomposition
- A Proof of Conjecture on Restricted Isometry Property Constants $\delta _{tk}\ \left(0<t<\frac {4}{3}\right)$
- New Bounds for Restricted Isometry Constants With Coherent Tight Frames
- Smoothing and Decomposition for Analysis Sparse Recovery
- Microlocal Analysis of the Geometric Separation Problem
- Analysis of simultaneous inpainting and geometric separation based on sparse decomposition
- Nonuniform recovery of fusion frame structured sparse signals
- Compressed Sensing With General Frames via Optimal-Dual-Based $\ell _{1}$-Analysis
- Recovery of Sparsely Corrupted Signals
- Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices
- Compressed Data Separation With Redundant Dictionaries
- Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ 1 minimization
- For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution
- Stable signal recovery from incomplete and inaccurate measurements
- Compressed sensing
This page was built for publication: Compressed data separation via \(\ell_q\)-split analysis with \(\ell_\infty\)-constraint
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6596308)