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SIAM JOURNAL ON SCIENTIFIC COMPUTING, ISSN 1064-8275, 2011, Volume 33, Issue 1, pp. 250 - 278
In this paper, we propose and study the use of alternating direction algorithms for several l(1)-norm minimization problems arising from sparse solution... 
MATHEMATICS, APPLIED | RECONSTRUCTION | primal | alternating direction method | THRESHOLDING ALGORITHM | DECOMPOSITION | EQUATIONS | augmented Lagrangian function | RECOVERY | dual | IMAGE | MINIMIZATION | SHRINKAGE | l-minimization | compressive sensing
Journal Article
IEEE TRANSACTIONS ON IMAGE PROCESSING, ISSN 1057-7149, 08/2013, Volume 22, Issue 8, pp. 3234 - 3246
l(1)-minimization refers to finding the minimum l(1)-norm solution to an underdetermined linear system b = Ax. Under certain conditions as described in... 
SIGNAL RECOVERY | THRESHOLDING ALGORITHM | EQUATIONS | GRADIENT | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | PURSUIT | SPARSE REPRESENTATION | augmented Lagrangian methods | face recognition | SYSTEMS | OPTIMIZATION | l-minimization | COORDINATE
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2010, Volume 20, Issue 4, pp. 1956 - 1982
Journal Article
IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 11/2011, Volume 33, Issue 11, pp. 2259 - 2272
Journal Article
Journal Article
IEEE Transactions on Image Processing, ISSN 1057-7149, 01/2013, Volume 22, Issue 1, pp. 314 - 325
Journal Article
Inverse Problems, ISSN 0266-5611, 03/2011, Volume 27, Issue 3, p. 035003
Orthogonal matching pursuit (OMP) is a commonly used algorithm for recovery sparse signals due to its low complexity and simple implementation. We analyze the... 
MATHEMATICS, APPLIED | PURSUIT | PHYSICS, MATHEMATICAL | L-MINIMIZATION | RECONSTRUCTION
Journal Article
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, ISSN 1069-5869, 12/2008, Volume 14, Issue 5-6, pp. 877 - 905
It is now well understood that (1) it is possible to reconstruct sparse signals exactly from what appear to be highly incomplete sets of linear measurements... 
MATHEMATICS, APPLIED | IMAGE-RESTORATION | RECONSTRUCTION | SIGNAL RECOVERY | ATOMIC DECOMPOSITION | NOISE | PROGRAMMING METHODS | ALGORITHMS | Dantzig selector | l-Minimization | Compressive sensing | DECONVOLUTION | Iterative reweighting | Sparsity | UNCERTAINTY PRINCIPLES | FOCUSS | OPTIMIZATION | Underdetermined systems of linear equations
Journal Article
APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, ISSN 1063-5203, 03/2016, Volume 40, Issue 2, pp. 321 - 351
Functions of interest are often smooth and sparse in some sense, and both priors should be taken into account when interpolating sampled data. Classical linear... 
Interpolation | MATHEMATICS, APPLIED | Compressive sensing | Bounded orthonormal systems | APPROXIMATION | Weighted sparsity | SUPREMA | l minimization
Journal Article
by Xiao, P and Liao, B
SIGNAL PROCESSING, ISSN 0165-1684, 11/2019, Volume 164, pp. 380 - 385
In recent years, one-bit compressive sensing (1-bit CS) has been attracting much attentions owing to its advantages of low system complexity and outstanding... 
Weighed l minimization | 1-bit compressive sensing | Robust recovery | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
IEEE TRANSACTIONS ON SIGNAL PROCESSING, ISSN 1053-587X, 05/2011, Volume 59, Issue 5, pp. 1985 - 2001
In this paper, we introduce a nonuniform sparsity model and analyze the performance of an optimized weighted l(1) minimization over that sparsity model. In... 
SIMPLICES | NUMBER | nonuniform sparsity | Compressed sensing | l minimization | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
SIAM JOURNAL ON IMAGING SCIENCES, ISSN 1936-4954, 2008, Volume 1, Issue 1, pp. 143 - 168
We propose simple and extremely efficient methods for solving the basis pursuit problem min{parallel to u parallel to(1) : Au = f, u is an element of R-n},... 
COMPUTER SCIENCE, SOFTWARE ENGINEERING | MECHANICS | compressed sensing | iterative regularization | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | l-minimization | basis pursuit | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Bregman distances
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 2011, Volume 31, Issue 1, pp. 59 - 73
Journal Article
Journal Article