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We present a new algorithm and the corresponding convergence analysis for the regularization of linear inverse problems with sparsity constraints, applied to a new generalized sparsity promoting functional.
The L-curve and its use in the numerical treatment of inverse problems
Per Christian Hansen · 1999
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An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
I. Daubechies, M. Defrise, and C. De Mol · 2004
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Majorization–minimization algorithms for wavelet-based image restoration
Mário AT Figueiredo, José M Bioucas-Dias, and Robert D Nowak · 2007
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Convergence of a sparse representations algorithm applicable to real or complex data
Jean Jacques Fuchs · 2007
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An introduction to compressive sampling
Emmanuel J Candès and Michael B Wakin · 2008
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Bregman iterative algorithms for l1-minimization with applications to compressed sensing
Wotao Yin, Stanley Osher, Donald Goldfarb, and Jerome Darbon · 2008
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A fast iterative shrinkage-thresholding algorithm for linear inverse problems
Amir Beck and Marc Teboulle · 2009
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Linearized bregman iterations for compressed sensing
Jian-Feng Cai, Stanley Osher, and Zuowei Shen · 2009
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Robust principal component analysis: Exact recovery of corrupted low-rank matrices via convex optimization
John Wright, Arvind Ganesh, Shankar Rao, Yigang Peng, and Yi Ma · 2009
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Iteratively reweighted least squares minimization for sparse recovery
I. Daubechies, R. DeVore, M. Fornasier, and C. Sinan Güntürk · 2010
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Fast l1-minimization algorithms and an application in robust face recognition: A review
Allen Y Yang, S Shankar Sastry, Arvind Ganesh, and Yi Ma · 2010
Cited alongside, same era.
Alternating direction algorithms for l1-problems in compressive sensing
Junfeng Yang and Yin Zhang · 2011
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Regularization of linear systems with sparsity constraints with applications to large scale inverse problems
S. Voronin · 2012
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A new generalized thresholding algorithm for inverse problems with sparsity constraints
S. Voronin and R. Chartrand · 2013
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Convolution based smooth approximations to the absolute value function with application to non-smooth regularization
S. Voronin, G. Ozkaya, and D. Yoshida · 2014
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Conjugate gradient acceleration of iteratively re-weighted least squares methods
M. Fornasier, S. Peter, H. Rauhut, and S. Worm · 2015
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Frederik J Simons, Ignace Loris, Guust Nolet, Ingrid C Daubechies, S Voronin, JS Judd, Ph A Vetter, J Charléty, and C Vonesch · 2011
Cited alongside, same era.