Zhao, Yunbin; Luo, Zhiquan Improved RIP-based bounds for guaranteed performance of two compressed sensing algorithms. (English) Zbl 1518.90111 Sci. China, Math. 66, No. 5, 1123-1140 (2023). MSC: 90C30 65F10 94A12 15A29 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{Z. Luo}, Sci. China, Math. 66, No. 5, 1123--1140 (2023; Zbl 1518.90111) Full Text: DOI arXiv
Meng, Nan; Zhao, Yun-Bin Newton-type optimal thresholding algorithms for sparse optimization problems. (English) Zbl 1513.90181 J. Oper. Res. Soc. China 10, No. 3, 447-469 (2022). MSC: 90C30 90C25 65F10 94A12 15A29 PDFBibTeX XMLCite \textit{N. Meng} and \textit{Y.-B. Zhao}, J. Oper. Res. Soc. China 10, No. 3, 447--469 (2022; Zbl 1513.90181) Full Text: DOI arXiv
Cai, Yun Weighted \(l_p- l_1\) minimization methods for block sparse recovery and rank minimization. (English) Zbl 1461.90092 Anal. Appl., Singap. 19, No. 2, 343-361 (2021). MSC: 90C25 94A12 15A83 PDFBibTeX XMLCite \textit{Y. Cai}, Anal. Appl., Singap. 19, No. 2, 343--361 (2021; Zbl 1461.90092) Full Text: DOI
Tong, Fenghua; Li, Lixiang; Peng, Haipeng; Yang, Yixian An effective algorithm for the spark of sparse binary measurement matrices. (English) Zbl 1433.94032 Appl. Math. Comput. 371, Article ID 124965, 8 p. (2020). MSC: 94A12 15B33 65K10 90C27 94A20 PDFBibTeX XMLCite \textit{F. Tong} et al., Appl. Math. Comput. 371, Article ID 124965, 8 p. (2020; Zbl 1433.94032) Full Text: DOI
Zhao, Yun-Bin Optimal \(k\)-thresholding algorithms for sparse optimization problems. (English) Zbl 1435.90113 SIAM J. Optim. 30, No. 1, 31-55 (2020). MSC: 90C25 90C05 90C30 65F10 94A12 15A29 PDFBibTeX XMLCite \textit{Y.-B. Zhao}, SIAM J. Optim. 30, No. 1, 31--55 (2020; Zbl 1435.90113) Full Text: DOI arXiv
Zhang, Jun; Yu, Zhu Liang; Cen, Ling; Gu, Zhenghui; Lin, Zhiping; Li, Yuanqing Deterministic construction of sparse binary matrices via incremental integer optimization. (English) Zbl 1457.94053 Inf. Sci. 430-431, 504-518 (2018). MSC: 94A12 15A60 PDFBibTeX XMLCite \textit{J. Zhang} et al., Inf. Sci. 430--431, 504--518 (2018; Zbl 1457.94053) Full Text: DOI
Cai, Jian-Feng; Wang, Tianming; Wei, Ke Spectral compressed sensing via projected gradient descent. (English) Zbl 1447.94008 SIAM J. Optim. 28, No. 3, 2625-2653 (2018). MSC: 94A12 15A29 15A83 41A29 65F22 90C26 93C41 47B35 PDFBibTeX XMLCite \textit{J.-F. Cai} et al., SIAM J. Optim. 28, No. 3, 2625--2653 (2018; Zbl 1447.94008) Full Text: DOI arXiv
Zhu, Zhihui; Wakin, Michael B. Approximating sampled sinusoids and multiband signals using multiband modulated DPSS dictionaries. (English) Zbl 1392.94576 J. Fourier Anal. Appl. 23, No. 6, 1263-1310 (2017). MSC: 94A12 94A14 94A20 15B05 42A82 94A11 PDFBibTeX XMLCite \textit{Z. Zhu} and \textit{M. B. Wakin}, J. Fourier Anal. Appl. 23, No. 6, 1263--1310 (2017; Zbl 1392.94576) Full Text: DOI arXiv
Haviv, Ishay; Regev, Oded The restricted isometry property of subsampled Fourier matrices. (English) Zbl 1379.46014 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2014–2016. Cham: Springer (ISBN 978-3-319-45281-4/pbk; 978-3-319-45282-1/ebook). Lecture Notes in Mathematics 2169, 163-179 (2017). MSC: 94A12 15A60 60E15 PDFBibTeX XMLCite \textit{I. Haviv} and \textit{O. Regev}, Lect. Notes Math. 2169, 163--179 (2017; Zbl 1379.46014) Full Text: DOI arXiv
Iwen, Mark A.; Viswanathan, Aditya; Wang, Yang Fast phase retrieval from local correlation measurements. (English) Zbl 1352.49035 SIAM J. Imaging Sci. 9, No. 4, 1655-1688 (2016). MSC: 49N45 49N30 42A38 65T50 15B52 68W25 PDFBibTeX XMLCite \textit{M. A. Iwen} et al., SIAM J. Imaging Sci. 9, No. 4, 1655--1688 (2016; Zbl 1352.49035) Full Text: DOI arXiv
Wang, Xin; Zhang, Jun; Ge, Gennian Deterministic convolutional compressed sensing matrices. (English) Zbl 1364.94175 Finite Fields Appl. 42, 102-117 (2016). MSC: 94A12 15B99 PDFBibTeX XMLCite \textit{X. Wang} et al., Finite Fields Appl. 42, 102--117 (2016; Zbl 1364.94175) Full Text: DOI
Bouchot, Jean-Luc; Foucart, Simon; Hitczenko, Pawel Hard thresholding pursuit algorithms: number of iterations. (English) Zbl 1346.65012 Appl. Comput. Harmon. Anal. 41, No. 2, 412-435 (2016). MSC: 65F10 15A29 65F50 PDFBibTeX XMLCite \textit{J.-L. Bouchot} et al., Appl. Comput. Harmon. Anal. 41, No. 2, 412--435 (2016; Zbl 1346.65012) Full Text: DOI Link
Bourgain, Jean; Dirksen, Sjoerd; Nelson, Jelani Toward a unified theory of sparse dimensionality reduction in Euclidean space. (English) Zbl 1341.46007 Geom. Funct. Anal. 25, No. 4, 1009-1088 (2015). Reviewer: Jan-David Hardtke (Berlin) MSC: 46B07 15B52 90C25 65F50 PDFBibTeX XMLCite \textit{J. Bourgain} et al., Geom. Funct. Anal. 25, No. 4, 1009--1088 (2015; Zbl 1341.46007) Full Text: DOI arXiv
Cai, Yun; Li, Song Convergence analysis of projected gradient descent for Schatten-\(p\) nonconvex matrix recovery. (English) Zbl 1331.65183 Sci. China, Math. 58, No. 4, 845-858 (2015). MSC: 65Y20 15A83 65F99 90C25 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{S. Li}, Sci. China, Math. 58, No. 4, 845--858 (2015; Zbl 1331.65183) Full Text: DOI
Zhao, Yun-Bin; Kočvara, Michal A new computational method for the sparsest solutions to systems of linear equations. (English) Zbl 1320.65060 SIAM J. Optim. 25, No. 2, 1110-1134 (2015). MSC: 65F22 90C25 90C26 15A06 90C05 15A29 65K05 PDFBibTeX XMLCite \textit{Y.-B. Zhao} and \textit{M. Kočvara}, SIAM J. Optim. 25, No. 2, 1110--1134 (2015; Zbl 1320.65060) Full Text: DOI Link
Wang, Zheng; Lai, Ming-Jun; Lu, Zhaosong; Fan, Wei; Davulcu, Hasan; Ye, Jieping Orthogonal rank-one matrix pursuit for low rank matrix completion. (English) Zbl 1315.65044 SIAM J. Sci. Comput. 37, No. 1, A488-A514 (2015). MSC: 65F30 15A83 65F10 65F20 PDFBibTeX XMLCite \textit{Z. Wang} et al., SIAM J. Sci. Comput. 37, No. 1, A488--A514 (2015; Zbl 1315.65044) Full Text: DOI arXiv
Eftekhari, Armin; Yap, Han Lun; Rozell, Christopher J.; Wakin, Michael B. The restricted isometry property for random block diagonal matrices. (English) Zbl 1302.15046 Appl. Comput. Harmon. Anal. 38, No. 1, 1-31 (2015). MSC: 15B52 60B20 65F30 PDFBibTeX XMLCite \textit{A. Eftekhari} et al., Appl. Comput. Harmon. Anal. 38, No. 1, 1--31 (2015; Zbl 1302.15046) Full Text: DOI arXiv
Ailon, Nir; Rauhut, Holger Fast and RIP-optimal transforms. (English) Zbl 1309.15006 Discrete Comput. Geom. 52, No. 4, 780-798 (2014). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A04 65T50 15B52 60G50 PDFBibTeX XMLCite \textit{N. Ailon} and \textit{H. Rauhut}, Discrete Comput. Geom. 52, No. 4, 780--798 (2014; Zbl 1309.15006) Full Text: DOI arXiv
Schnass, Karin On the identifiability of overcomplete dictionaries via the minimisation principle underlying K-SVD. (English) Zbl 1297.94018 Appl. Comput. Harmon. Anal. 37, No. 3, 464-491 (2014). MSC: 94A20 15A23 68T05 94A29 PDFBibTeX XMLCite \textit{K. Schnass}, Appl. Comput. Harmon. Anal. 37, No. 3, 464--491 (2014; Zbl 1297.94018) Full Text: DOI arXiv
Bah, Bubacarr; Tanner, Jared Bounds of restricted isometry constants in extreme asymptotics: formulae for Gaussian matrices. (English) Zbl 1282.15030 Linear Algebra Appl. 441, 88-109 (2014). MSC: 15B52 60F10 94A20 94A12 PDFBibTeX XMLCite \textit{B. Bah} and \textit{J. Tanner}, Linear Algebra Appl. 441, 88--109 (2014; Zbl 1282.15030) Full Text: DOI arXiv
Rauhut, Holger; Romberg, Justin; Tropp, Joel A. Restricted isometries for partial random circulant matrices. (English) Zbl 1245.15040 Appl. Comput. Harmon. Anal. 32, No. 2, 242-254 (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 60B20 PDFBibTeX XMLCite \textit{H. Rauhut} et al., Appl. Comput. Harmon. Anal. 32, No. 2, 242--254 (2012; Zbl 1245.15040) Full Text: DOI Link
Goldfarb, Donald; Ma, Shiqian Convergence of fixed-point continuation algorithms for matrix rank minimization. (English) Zbl 1219.90195 Found. Comput. Math. 11, No. 2, 183-210 (2011). MSC: 90C59 15B52 15A18 PDFBibTeX XMLCite \textit{D. Goldfarb} and \textit{S. Ma}, Found. Comput. Math. 11, No. 2, 183--210 (2011; Zbl 1219.90195) Full Text: DOI arXiv
Blanchard, Jeffrey D.; Cartis, Coralia; Tanner, Jared Compressed sensing: how sharp is the restricted isometry property? (English) Zbl 1214.41008 SIAM Rev. 53, No. 1, 105-125 (2011). Reviewer: Milan Mareš (Praha) MSC: 41A46 94A12 94A20 15B52 60F10 90C25 PDFBibTeX XMLCite \textit{J. D. Blanchard} et al., SIAM Rev. 53, No. 1, 105--125 (2011; Zbl 1214.41008) Full Text: DOI arXiv
Lee, Kiryung; Bresler, Yoram ADMiRA: atomic decomposition for minimum rank approximation. (English) Zbl 1366.94112 IEEE Trans. Inf. Theory 56, No. 9, 4402-4416 (2010). MSC: 94A12 94A08 15A83 65F15 PDFBibTeX XMLCite \textit{K. Lee} and \textit{Y. Bresler}, IEEE Trans. Inf. Theory 56, No. 9, 4402--4416 (2010; Zbl 1366.94112) Full Text: DOI arXiv