Blanchard, Jeffrey D.; Tanner, Jared; Wei, Ke CGIHT: conjugate gradient iterative hard thresholding for compressed sensing and matrix completion. (English) Zbl 1380.94045 Inf. Inference 4, No. 4, 289-327 (2015). MSC: 94A12 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hampton, Jerrad; Doostan, Alireza Compressive sampling of polynomial chaos expansions: convergence analysis and sampling strategies. (English) Zbl 1349.94110 J. Comput. Phys. 280, 363-386 (2015). MSC: 94A20 65C05 33C45 60H35 60J22 94A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adcock, Ben; Hansen, Anders C.; Roman, Bogdan The quest for optimal sampling: computationally efficient, structure-exploiting measurements for compressed sensing. (English) Zbl 1333.94014 Boche, Holger (ed.) et al., Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-16041-2/hbk; 978-3-319-16042-9/ebook). Applied and Numerical Harmonic Analysis, 143-167 (2015). MSC: 94A12 94A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nicodème, Marc; Turcu, Flavius; Dossal, Charles Optimal dual certificates for noise robustness bounds in compressive sensing. (English) Zbl 1353.94019 J. Math. Imaging Vis. 53, No. 3, 251-263 (2015). MSC: 94A12 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Sudhakar, Prasad; Jacques, Laurent; Dubois, Xavier; Antoine, Philippe; Joannes, Luc Compressive imaging and characterization of sparse light deflection maps. (English) Zbl 1352.94011 SIAM J. Imaging Sci. 8, No. 3, 1824-1856 (2015). MSC: 94A08 94A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xinxin; Yuan, Xiaoming A proximal strictly contractive Peaceman-Rachford splitting method for convex programming with applications to imaging. (English) Zbl 1327.90215 SIAM J. Imaging Sci. 8, No. 2, 1332-1365 (2015). MSC: 90C25 90C30 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Landi, G. A modified Newton projection method for \(\ell _1\)-regularized least squares image deblurring. (English) Zbl 1331.68270 J. Math. Imaging Vis. 51, No. 1, 195-208 (2015). MSC: 68U10 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yusheng; Xie, Xinchang; Yang, Zhouwang Alternating direction method of multipliers for solving dictionary learning models. (English) Zbl 1321.49049 Commun. Math. Stat. 3, No. 1, 37-55 (2015). MSC: 49M37 49N45 65K05 90C30 68U10 94A08 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Yuanying; Yan, Jianlei; Xu, Fanyong Nonmonotone adaptive Barzilai-Borwein gradient algorithm for compressed sensing. (English) Zbl 1412.94074 Abstr. Appl. Anal. 2014, Article ID 410104, 6 p. (2014). MSC: 94A12 90C53 90C90 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Xie, Yajun; Ke, Yifen; Ma, Changfeng The modified accelerated Bregman method for regularized basis pursuit problem. (English) Zbl 1375.46058 J. Inequal. Appl. 2014, Paper No. 130, 17 p. (2014). MSC: 46N10 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Ji; Hampton, Jerrad; Doostan, Alireza A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions. (English) Zbl 1349.65198 J. Comput. Phys. 267, 92-111 (2014). MSC: 65K10 65C20 90C25 94A12 94A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chardon, Gilles; Cohen, Albert; Daudet, Laurent Sampling and reconstruction of solutions to the Helmholtz equation. (English) Zbl 1346.94073 Sampl. Theory Signal Image Process. 13, No. 1, 67-89 (2014). MSC: 94A20 74J25 35J05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Xu, Yangyang; Yin, Wotao; Osher, Stanley Learning circulant sensing kernels. (English) Zbl 1332.94018 Inverse Probl. Imaging 8, No. 3, 901-923 (2014). MSC: 94A08 94A12 90C90 × Cite Format Result Cite Review PDF Full Text: DOI Link
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing. (English) Zbl 1311.90100 Math. Comput. 83, No. 289, 2263-2291 (2014). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C25 90C06 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Hong; Xiao, Yunhai; Wu, Soon-Yi Large sparse signal recovery by conjugate gradient algorithm based on smoothing technique. (English) Zbl 1391.94481 Comput. Math. Appl. 66, No. 1, 24-32 (2013). MSC: 94A12 94A13 65F22 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Monajemi, Hatef; Jafarpour, Sina; Gavish, Matan; Stat 330/CME 362 Collaboration; Donoho, David L. Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices. (English) Zbl 1292.94007 Proc. Natl. Acad. Sci. USA 110, No. 4, 1181-1186 (2013). MSC: 94A12 15B52 62H12 94A08 94A13 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Ciak, R.; Shafei, B.; Steidl, G. Homogeneous penalizers and constraints in convex image restoration. (English) Zbl 1291.68415 J. Math. Imaging Vis. 47, No. 3, 210-230 (2013). MSC: 68U10 90C25 94A08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liu, Jiying; Zhu, Jubo; Yan, Fengxia; Zhang, Zenghui Compressive sampling and \(\ell_1\) minimization for SAR imaging with low sampling rate. (English) Zbl 1283.94020 Inverse Probl. Imaging 7, No. 4, 1295-1305 (2013). MSC: 94A12 94A20 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Myeongmin; Yun, Sangwoon; Woo, Hyenkyun; Kang, Myungjoo Accelerated Bregman method for linearly constrained \(\ell _1-\ell _2\) minimization. (English) Zbl 1276.65033 J. Sci. Comput. 56, No. 3, 515-534 (2013). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Bingchen; Hong, Wen; Wu, Yirong Sparse microwave imaging: principles and applications. (English) Zbl 1270.94026 Sci. China, Inf. Sci. 55, No. 8, 1722-1754 (2012). MSC: 94A08 94A12 94-02 × Cite Format Result Cite Review PDF Full Text: DOI Link
Nasehi Tehrani, J.; McEwan, Alistair L.; Jin, Craig; van Schaik, André \(L^1\) regularization method in electrical impedance tomography by using the \(L^1\)-curve (Pareto frontier curve). (English) Zbl 1243.78041 Appl. Math. Modelling 36, No. 3, 1095-1105 (2012). MSC: 78A70 65J20 94A12 49N45 × Cite Format Result Cite Review PDF Full Text: DOI
van den Berg, Ewout; Friedlander, Michael P. Sparse optimization with least-squares constraints. (English) Zbl 1242.49061 SIAM J. Optim. 21, No. 4, 1201-1229 (2011). MSC: 49M15 49M29 65K05 90C25 90C06 94A08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Xiao, Yunhai; Wang, Qiuyu; Hu, Qingjie Non-smooth equations based method for \(\ell_1\)-norm problems with applications to compressed sensing. (English) Zbl 1217.65069 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3570-3577 (2011). MSC: 65F20 65K05 90C20 94A08 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Eftekhari, Armin; Babaie-Zadeh, Massoud; Moghaddam, Hamid Abrishami Two-dimensional random projection. (English) Zbl 1213.94032 Signal Process. 91, No. 7, 1589-1603 (2011). MSC: 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Blanchard, Jeffrey D.; Cartis, Coralia; Tanner, Jared; Thompson, Andrew Phase transitions for greedy sparse approximation algorithms. (English) Zbl 1229.94003 Appl. Comput. Harmon. Anal. 30, No. 2, 188-203 (2011). Reviewer: Nirode C. Mohanty (Huntington Beach) MSC: 94A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Combettes, Patrick L.; Dũng, Đinh; Vũ, Băng Công Dualization of signal recovery problems. (English) Zbl 1229.90123 Set-Valued Var. Anal. 18, No. 3-4, 373-404 (2010). MSC: 90C25 49N15 94A12 94A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Xiansheng; Wan, Qun; Chang, Chunqi; Lam, Edmund Y. Source localization using a sparse representation framework to achieve superresolution. (English) Zbl 1198.94068 Multidimensional Syst. Signal Process. 21, No. 4, 391-402 (2010). MSC: 94A12 94A13 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Dossal, Charles; Peyré, Gabriel; Fadili, Jalal A numerical exploration of compressed sampling recovery. (English) Zbl 1181.94042 Linear Algebra Appl. 432, No. 7, 1663-1679 (2010). MSC: 94A12 94A20 × Cite Format Result Cite Review PDF Full Text: DOI HAL