Tanner, Jared; Vary, Simon Compressed sensing of low-rank plus sparse matrices. (English) Zbl 1508.65043 Appl. Comput. Harmon. Anal. 64, 254-293 (2023). MSC: 65F55 41A29 62H25 65F10 65J20 68Q25 90C22 90C26 PDFBibTeX XMLCite \textit{J. Tanner} and \textit{S. Vary}, Appl. Comput. Harmon. Anal. 64, 254--293 (2023; Zbl 1508.65043) Full Text: DOI arXiv
Dereventsov, A. V.; Temlyakov, V. N. Biorthogonal greedy algorithms in convex optimization. (English) Zbl 1495.90129 Appl. Comput. Harmon. Anal. 60, 489-511 (2022). MSC: 90C25 90C48 PDFBibTeX XMLCite \textit{A. V. Dereventsov} and \textit{V. N. Temlyakov}, Appl. Comput. Harmon. Anal. 60, 489--511 (2022; Zbl 1495.90129) Full Text: DOI arXiv
Koep, Niklas; Behboodi, Arash; Mathar, Rudolf The restricted isometry property of block diagonal matrices for group-sparse signal recovery. (English) Zbl 1492.94031 Appl. Comput. Harmon. Anal. 60, 333-367 (2022). MSC: 94A12 PDFBibTeX XMLCite \textit{N. Koep} et al., Appl. Comput. Harmon. Anal. 60, 333--367 (2022; Zbl 1492.94031) Full Text: DOI arXiv
Flinth, Axel; Groß, Benedikt; Roth, Ingo; Eisert, Jens; Wunder, Gerhard Hierarchical isometry properties of hierarchical measurements. (English) Zbl 1485.94018 Appl. Comput. Harmon. Anal. 58, 27-49 (2022). MSC: 94A12 68M11 65F10 PDFBibTeX XMLCite \textit{A. Flinth} et al., Appl. Comput. Harmon. Anal. 58, 27--49 (2022; Zbl 1485.94018) Full Text: DOI
Unser, Michael; Aziznejad, Shayan Convex optimization in sums of Banach spaces. (English) Zbl 1489.46074 Appl. Comput. Harmon. Anal. 56, 1-25 (2022). MSC: 46N10 47A52 65J20 68T05 PDFBibTeX XMLCite \textit{M. Unser} and \textit{S. Aziznejad}, Appl. Comput. Harmon. Anal. 56, 1--25 (2022; Zbl 1489.46074) Full Text: DOI arXiv
Genzel, Martin; Kutyniok, Gitta; März, Maximilian \(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed? (English) Zbl 1460.94021 Appl. Comput. Harmon. Anal. 52, 82-140 (2021). MSC: 94A12 65K05 90C25 90C90 PDFBibTeX XMLCite \textit{M. Genzel} et al., Appl. Comput. Harmon. Anal. 52, 82--140 (2021; Zbl 1460.94021) Full Text: DOI arXiv
Elvira, Clément; Gribonval, Rémi; Soussen, Charles; Herzet, Cédric When does OMP achieve exact recovery with continuous dictionaries? (English) Zbl 1512.94018 Appl. Comput. Harmon. Anal. 51, 374-413 (2021). MSC: 94A12 PDFBibTeX XMLCite \textit{C. Elvira} et al., Appl. Comput. Harmon. Anal. 51, 374--413 (2021; Zbl 1512.94018) Full Text: DOI arXiv
Rong, Yi; Wang, Yang; Xu, Zhiqiang Almost everywhere injectivity conditions for the matrix recovery problem. (English) Zbl 1460.15031 Appl. Comput. Harmon. Anal. 50, 386-400 (2021). MSC: 15A83 42C15 PDFBibTeX XMLCite \textit{Y. Rong} et al., Appl. Comput. Harmon. Anal. 50, 386--400 (2021; Zbl 1460.15031) Full Text: DOI arXiv
Casazza, Peter G.; Chen, Xuemei; Lynch, Richard G. Preserving injectivity under subgaussian mappings and its application to compressed sensing. (English) Zbl 1448.94053 Appl. Comput. Harmon. Anal. 49, No. 2, 451-470 (2020). MSC: 94A12 62-08 68W20 60E15 90C25 PDFBibTeX XMLCite \textit{P. G. Casazza} et al., Appl. Comput. Harmon. Anal. 49, No. 2, 451--470 (2020; Zbl 1448.94053) Full Text: DOI arXiv
Feng, Xue; Yan, Shi; Wu, Chunlin The \(\ell_{2,q}\) regularized group sparse optimization: lower bound theory, recovery bound and algorithms. (English) Zbl 1448.94058 Appl. Comput. Harmon. Anal. 49, No. 2, 381-414 (2020). Reviewer: Aris Daniilidis (Santiago) MSC: 94A12 62J07 90C26 PDFBibTeX XMLCite \textit{X. Feng} et al., Appl. Comput. Harmon. Anal. 49, No. 2, 381--414 (2020; Zbl 1448.94058) Full Text: DOI
Qi, Yang; Michałek, Mateusz; Lim, Lek-Heng Complex best \(r\)-term approximations almost always exist in finite dimensions. (English) Zbl 1483.41010 Appl. Comput. Harmon. Anal. 49, No. 1, 180-207 (2020). MSC: 41A46 15A69 30E10 41A52 PDFBibTeX XMLCite \textit{Y. Qi} et al., Appl. Comput. Harmon. Anal. 49, No. 1, 180--207 (2020; Zbl 1483.41010) Full Text: DOI arXiv
Tirer, Tom; Giryes, Raja Generalizing CoSaMP to signals from a union of low dimensional linear subspaces. (English) Zbl 1436.94019 Appl. Comput. Harmon. Anal. 49, No. 1, 99-122 (2020). MSC: 94A12 PDFBibTeX XMLCite \textit{T. Tirer} and \textit{R. Giryes}, Appl. Comput. Harmon. Anal. 49, No. 1, 99--122 (2020; Zbl 1436.94019) Full Text: DOI arXiv
Li, Qiuwei; Tang, Gongguo Approximate support recovery of atomic line spectral estimation: a tale of resolution and precision. (English) Zbl 1436.62081 Appl. Comput. Harmon. Anal. 48, No. 3, 891-948 (2020). MSC: 62F10 62P35 90C26 94A40 PDFBibTeX XMLCite \textit{Q. Li} and \textit{G. Tang}, Appl. Comput. Harmon. Anal. 48, No. 3, 891--948 (2020; Zbl 1436.62081) Full Text: DOI arXiv
Benedetto, John J.; Li, Weilin Super-resolution by means of Beurling minimal extrapolation. (English) Zbl 1439.43004 Appl. Comput. Harmon. Anal. 48, No. 1, 218-241 (2020). MSC: 43A25 46E27 46N10 94A12 PDFBibTeX XMLCite \textit{J. J. Benedetto} and \textit{W. Li}, Appl. Comput. Harmon. Anal. 48, No. 1, 218--241 (2020; Zbl 1439.43004) Full Text: DOI arXiv
Li, Yuanxin; Chi, Yuejie Stable separation and super-resolution of mixture models. (English) Zbl 1442.94013 Appl. Comput. Harmon. Anal. 46, No. 1, 1-39 (2019). MSC: 94A08 60E15 90C25 90C90 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Chi}, Appl. Comput. Harmon. Anal. 46, No. 1, 1--39 (2019; Zbl 1442.94013) Full Text: DOI arXiv
Díaz, Mateo; Junca, Mauricio; Rincón, Felipe; Velasco, Mauricio Compressed sensing of data with a known distribution. (English) Zbl 06929176 Appl. Comput. Harmon. Anal. 45, No. 3, 486-504 (2018). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{M. Díaz} et al., Appl. Comput. Harmon. Anal. 45, No. 3, 486--504 (2018; Zbl 06929176) Full Text: DOI arXiv Link
Traonmilin, Yann; Gribonval, Rémi Stable recovery of low-dimensional cones in Hilbert spaces: one RIP to rule them all. (English) Zbl 1391.94421 Appl. Comput. Harmon. Anal. 45, No. 1, 170-205 (2018). MSC: 94A12 94A20 94B27 PDFBibTeX XMLCite \textit{Y. Traonmilin} and \textit{R. Gribonval}, Appl. Comput. Harmon. Anal. 45, No. 1, 170--205 (2018; Zbl 1391.94421) Full Text: DOI arXiv
Xu, Zhiqiang The minimal measurement number for low-rank matrix recovery. (English) Zbl 1437.65032 Appl. Comput. Harmon. Anal. 44, No. 2, 497-508 (2018). MSC: 65F55 15A83 PDFBibTeX XMLCite \textit{Z. Xu}, Appl. Comput. Harmon. Anal. 44, No. 2, 497--508 (2018; Zbl 1437.65032) Full Text: DOI arXiv
Hand, Paul Phaselift is robust to a constant fraction of arbitrary errors. (English) Zbl 1396.90063 Appl. Comput. Harmon. Anal. 42, No. 3, 550-562 (2017). MSC: 90C26 90C22 90C25 PDFBibTeX XMLCite \textit{P. Hand}, Appl. Comput. Harmon. Anal. 42, No. 3, 550--562 (2017; Zbl 1396.90063) Full Text: DOI arXiv
Soh, Yong Sheng; Chandrasekaran, Venkat High-dimensional change-point estimation: combining filtering with convex optimization. (English) Zbl 1366.62182 Appl. Comput. Harmon. Anal. 43, No. 1, 122-147 (2017). MSC: 62M20 62M10 90C25 94A12 PDFBibTeX XMLCite \textit{Y. S. Soh} and \textit{V. Chandrasekaran}, Appl. Comput. Harmon. Anal. 43, No. 1, 122--147 (2017; Zbl 1366.62182) Full Text: DOI arXiv
Mansour, Hassan; Saab, Rayan Recovery analysis for weighted \(\ell_{1}\)-minimization using the null space property. (English) Zbl 1384.94008 Appl. Comput. Harmon. Anal. 43, No. 1, 23-38 (2017). MSC: 94A08 94A12 94A20 PDFBibTeX XMLCite \textit{H. Mansour} and \textit{R. Saab}, Appl. Comput. Harmon. Anal. 43, No. 1, 23--38 (2017; Zbl 1384.94008) Full Text: DOI arXiv
Kueng, Richard; Rauhut, Holger; Terstiege, Ulrich Low rank matrix recovery from rank one measurements. (English) Zbl 1393.94310 Appl. Comput. Harmon. Anal. 42, No. 1, 88-116 (2017). MSC: 94A12 94A20 60B20 90C25 81P50 PDFBibTeX XMLCite \textit{R. Kueng} et al., Appl. Comput. Harmon. Anal. 42, No. 1, 88--116 (2017; Zbl 1393.94310) Full Text: DOI arXiv
Cai, Jian-Feng; Qu, Xiaobo; Xu, Weiyu; Ye, Gui-Bo Robust recovery of complex exponential signals from random Gaussian projections via low rank Hankel matrix reconstruction. (English) Zbl 1360.94063 Appl. Comput. Harmon. Anal. 41, No. 2, 470-490 (2016). MSC: 94A12 15B05 PDFBibTeX XMLCite \textit{J.-F. Cai} et al., Appl. Comput. Harmon. Anal. 41, No. 2, 470--490 (2016; Zbl 1360.94063) Full Text: DOI arXiv
Zeng, Cao; Zhu, Shengqi; Li, Shidong; Liao, Quisheng; Wang, Lanmei Sparse frame DOA estimations via a rank-one correlation model for low SNR and limited snapshots. (English) Zbl 1360.94104 Appl. Comput. Harmon. Anal. 41, No. 2, 362-383 (2016). MSC: 94A12 PDFBibTeX XMLCite \textit{C. Zeng} et al., Appl. Comput. Harmon. Anal. 41, No. 2, 362--383 (2016; Zbl 1360.94104) Full Text: DOI
Yue, Man-Chung; So, Anthony Man-Cho A perturbation inequality for concave functions of singular values and its applications in low-rank matrix recovery. (English) Zbl 1335.15031 Appl. Comput. Harmon. Anal. 40, No. 2, 396-416 (2016). MSC: 15A45 94A12 PDFBibTeX XMLCite \textit{M.-C. Yue} and \textit{A. M. C. So}, Appl. Comput. Harmon. Anal. 40, No. 2, 396--416 (2016; Zbl 1335.15031) Full Text: DOI arXiv
Jalali, Shirin; Maleki, Arian From compression to compressed sensing. (English) Zbl 1338.94016 Appl. Comput. Harmon. Anal. 40, No. 2, 352-385 (2016). MSC: 94A12 94A34 PDFBibTeX XMLCite \textit{S. Jalali} and \textit{A. Maleki}, Appl. Comput. Harmon. Anal. 40, No. 2, 352--385 (2016; Zbl 1338.94016) Full Text: DOI arXiv
Duarte, Marco F.; Baraniuk, Richard G. Spectral compressive sensing. (English) Zbl 1336.94016 Appl. Comput. Harmon. Anal. 35, No. 1, 111-129 (2013). MSC: 94A12 42C15 65T50 PDFBibTeX XMLCite \textit{M. F. Duarte} and \textit{R. G. Baraniuk}, Appl. Comput. Harmon. Anal. 35, No. 1, 111--129 (2013; Zbl 1336.94016) Full Text: DOI
Lai, Ming-Jun; Liu, Yang The null space property for sparse recovery from multiple measurement vectors. (English) Zbl 1228.65057 Appl. Comput. Harmon. Anal. 30, No. 3, 402-406 (2011). Reviewer: Robert F. Remis (Delft) MSC: 65F20 65F50 15A29 PDFBibTeX XMLCite \textit{M.-J. Lai} and \textit{Y. Liu}, Appl. Comput. Harmon. Anal. 30, No. 3, 402--406 (2011; Zbl 1228.65057) Full Text: DOI
Hammond, David K.; Vandergheynst, Pierre; Gribonval, Rémi Wavelets on graphs via spectral graph theory. (English) Zbl 1213.42091 Appl. Comput. Harmon. Anal. 30, No. 2, 129-150 (2011). Reviewer: István Mező (Debrecen) MSC: 42C40 05C50 94A12 PDFBibTeX XMLCite \textit{D. K. Hammond} et al., Appl. Comput. Harmon. Anal. 30, No. 2, 129--150 (2011; Zbl 1213.42091) Full Text: DOI arXiv
Kutil, Rade; Engel, Dominik Methods for the anisotropic wavelet packet transform. (English) Zbl 1211.94014 Appl. Comput. Harmon. Anal. 25, No. 3, 295-314 (2008). MSC: 94A11 42C40 PDFBibTeX XMLCite \textit{R. Kutil} and \textit{D. Engel}, Appl. Comput. Harmon. Anal. 25, No. 3, 295--314 (2008; Zbl 1211.94014) Full Text: DOI
Welk, Martin; Steidl, Gabriele; Weickert, Joachim Locally analytic schemes: a link between diffusion filtering and wavelet shrinkage. (English) Zbl 1161.68831 Appl. Comput. Harmon. Anal. 24, No. 2, 195-224 (2008). MSC: 68U10 68T05 65T60 60J70 60G35 PDFBibTeX XMLCite \textit{M. Welk} et al., Appl. Comput. Harmon. Anal. 24, No. 2, 195--224 (2008; Zbl 1161.68831) Full Text: DOI Link
Saucier, Antoine Construction of data-adaptive orthogonal wavelet bases with an extension of principal component analysis. (English) Zbl 1088.94007 Appl. Comput. Harmon. Anal. 18, No. 3, 300-328 (2005). MSC: 94A12 42C40 65T60 PDFBibTeX XMLCite \textit{A. Saucier}, Appl. Comput. Harmon. Anal. 18, No. 3, 300--328 (2005; Zbl 1088.94007) Full Text: DOI
Wainwright, Martin J.; Simoncelli, Eero P.; Willsky, Alan S. Random cascades on wavelet trees and their use in analyzing and modeling natural images. (English) Zbl 0983.68228 Appl. Comput. Harmon. Anal. 11, No. 1, 89-123 (2001). MSC: 68U10 PDFBibTeX XMLCite \textit{M. J. Wainwright} et al., Appl. Comput. Harmon. Anal. 11, No. 1, 89--123 (2001; Zbl 0983.68228) Full Text: DOI