Xiao, Guiyun; Zhang, Shuqin; Bai, Zheng-Jian Scaled proximal gradient methods for sparse optimization problems. (English) Zbl 07784036 J. Sci. Comput. 98, No. 1, Paper No. 2, 28 p. (2024). Reviewer: Hang Lau (Montréal) MSC: 65K05 65F10 15A29 90C26 94A12 PDFBibTeX XMLCite \textit{G. Xiao} et al., J. Sci. Comput. 98, No. 1, Paper No. 2, 28 p. (2024; Zbl 07784036) Full Text: DOI
Nigam, H. K.; Yadav, Saroj Block-sparse recovery and rank minimization using a weighted \(l_p-l_q\) model. (English) Zbl 07772806 J. Inequal. Appl. 2023, Paper No. 29, 17 p. (2023). MSC: 90C26 94A12 15A83 PDFBibTeX XMLCite \textit{H. K. Nigam} and \textit{S. Yadav}, J. Inequal. Appl. 2023, Paper No. 29, 17 p. (2023; Zbl 07772806) Full Text: DOI
Wan, Minghua; Cai, Mingxiu; Yang, Zhangjing; Tan, Hai; Yang, Guowei; Tang, Mingwei Robust latent nonnegative matrix factorization with automatic sparse reconstruction for unsupervised feature extraction. (English) Zbl 1522.68488 Inf. Sci. 648, Article ID 119517, 19 p. (2023). MSC: 68T05 15A23 68U10 PDFBibTeX XMLCite \textit{M. Wan} et al., Inf. Sci. 648, Article ID 119517, 19 p. (2023; Zbl 1522.68488) Full Text: DOI
Sun, Zhong-Feng; Zhou, Jin-Chuan; Zhao, Yun-Bin Heavy-ball-based optimal thresholding algorithms for sparse linear inverse problems. (English) Zbl 1519.94010 J. Sci. Comput. 96, No. 3, Paper No. 93, 30 p. (2023). MSC: 94A12 94A08 15A29 90C25 90C20 49M20 PDFBibTeX XMLCite \textit{Z.-F. Sun} et al., J. Sci. Comput. 96, No. 3, Paper No. 93, 30 p. (2023; Zbl 1519.94010) Full Text: DOI arXiv
Wentz, Jacqueline; Doostan, Alireza Derivative-based SINDy (DSINDy): addressing the challenge of discovering governing equations from noisy data. (English) Zbl 07697909 Comput. Methods Appl. Mech. Eng. 413, Article ID 116096, 39 p. (2023). MSC: 62J07 65D10 34A55 37M10 90C25 15A04 PDFBibTeX XMLCite \textit{J. Wentz} and \textit{A. Doostan}, Comput. Methods Appl. Mech. Eng. 413, Article ID 116096, 39 p. (2023; Zbl 07697909) Full Text: DOI arXiv
Xia, Yu; Zhou, Likai Adaptive iterative hard thresholding for low-rank matrix recovery and rank-one measurements. (English) Zbl 1510.94067 J. Complexity 76, Article ID 101725, 19 p. (2023). MSC: 94A12 94A15 94A08 68P30 15B52 PDFBibTeX XMLCite \textit{Y. Xia} and \textit{L. Zhou}, J. Complexity 76, Article ID 101725, 19 p. (2023; Zbl 1510.94067) Full Text: DOI
Waniorek, N.; Calvetti, D.; Somersalo, E. Bayesian hierarchical dictionary learning. (English) Zbl 07650607 Inverse Probl. 39, No. 2, Article ID 024006, 22 p. (2023). MSC: 68T05 15A29 65J22 PDFBibTeX XMLCite \textit{N. Waniorek} et al., Inverse Probl. 39, No. 2, Article ID 024006, 22 p. (2023; Zbl 07650607) Full Text: DOI
Gan, Hongping; Gao, Yang; Zhang, Tao Non-Cartesian spiral binary sensing matrices. (English) Zbl 1509.94014 Circuits Syst. Signal Process. 41, No. 5, 2934-2946 (2022). MSC: 94A12 15A60 PDFBibTeX XMLCite \textit{H. Gan} et al., Circuits Syst. Signal Process. 41, No. 5, 2934--2946 (2022; Zbl 1509.94014) Full Text: DOI
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
Li, Peili; Lu, Xiliang; Xiao, Yunhai Smoothing Newton method for \(\ell^0\)-\(\ell^2\) regularized linear inverse problem. (English) Zbl 1481.65059 Inverse Probl. Imaging 16, No. 1, 153-177 (2022). MSC: 65F22 15A29 PDFBibTeX XMLCite \textit{P. Li} et al., Inverse Probl. Imaging 16, No. 1, 153--177 (2022; Zbl 1481.65059) Full Text: DOI
Kızılkale, Can; Pınar, Mustafa Ç. Sparse solutions to an underdetermined system of linear equations via penalized Huber loss. (English) Zbl 1484.65123 Optim. Eng. 22, No. 3, 1521-1537 (2021). MSC: 65K05 15A06 90C20 90C90 PDFBibTeX XMLCite \textit{C. Kızılkale} and \textit{M. Ç. Pınar}, Optim. Eng. 22, No. 3, 1521--1537 (2021; Zbl 1484.65123) Full Text: DOI Link
Du, Yi-Shu; Hayami, Ken; Zheng, Ning; Morikuni, Keiichi; Yin, Jun-Feng Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems. (English) Zbl 1490.65049 SIAM J. Sci. Comput. 43, No. 5, S345-S366 (2021). MSC: 65F10 65F08 65F20 65F50 15A06 PDFBibTeX XMLCite \textit{Y.-S. Du} et al., SIAM J. Sci. Comput. 43, No. 5, S345--S366 (2021; Zbl 1490.65049) Full Text: DOI
Chen, Jinchi; Gao, Weiguo; Wei, Ke Exact matrix completion based on low rank Hankel structure in the Fourier domain. (English) Zbl 1472.15038 Appl. Comput. Harmon. Anal. 55, 149-184 (2021). MSC: 15A83 65F50 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Comput. Harmon. Anal. 55, 149--184 (2021; Zbl 1472.15038) Full Text: DOI arXiv
Wang, Wendong; Zhang, Feng; Wang, Jianjun Low-rank matrix recovery via regularized nuclear norm minimization. (English) Zbl 1469.65090 Appl. Comput. Harmon. Anal. 54, 1-19 (2021). MSC: 65F99 15A03 90C25 94A12 PDFBibTeX XMLCite \textit{W. Wang} et al., Appl. Comput. Harmon. Anal. 54, 1--19 (2021; Zbl 1469.65090) Full Text: DOI arXiv
Du, Yi-Shu; Hayami, Ken; Zheng, Ning; Morikuni, Keiichi; Yin, Jun-Feng Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems. (English) Zbl 1512.65045 SIAM J. Sci. Comput. 43, No. 3, S345-S366 (2021). MSC: 65F10 15A06 65F08 65F50 PDFBibTeX XMLCite \textit{Y.-S. Du} et al., SIAM J. Sci. Comput. 43, No. 3, S345--S366 (2021; Zbl 1512.65045) Full Text: DOI arXiv
Xu, Jialiang; Zhao, Yun-Bin Stability analysis of a class of sparse optimization problems. (English) Zbl 1454.90026 Optim. Methods Softw. 35, No. 4, 836-854 (2020). MSC: 90C05 90C25 90C31 94A12 15A29 PDFBibTeX XMLCite \textit{J. Xu} and \textit{Y.-B. Zhao}, Optim. Methods Softw. 35, No. 4, 836--854 (2020; Zbl 1454.90026) Full Text: DOI arXiv
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
Soh, Yong Sheng; Chandrasekaran, Venkat Learning semidefinite regularizers. (English) Zbl 1411.90269 Found. Comput. Math. 19, No. 2, 375-434 (2019). MSC: 90C25 90C22 15A24 41A45 52A41 PDFBibTeX XMLCite \textit{Y. S. Soh} and \textit{V. Chandrasekaran}, Found. Comput. Math. 19, No. 2, 375--434 (2019; Zbl 1411.90269) Full Text: DOI arXiv Link
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
Derksen, Harm A general theory of singular values with applications to signal denoising. (English) Zbl 1408.94861 SIAM J. Appl. Algebra Geom. 2, No. 4, 535-596 (2018). MSC: 94A12 15A18 15A69 90C25 PDFBibTeX XMLCite \textit{H. Derksen}, SIAM J. Appl. Algebra Geom. 2, No. 4, 535--596 (2018; Zbl 1408.94861) Full Text: DOI arXiv
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
Ma, Tian-Hui; Lou, Yifei; Huang, Ting-Zhu Truncated \(l_{1-2}\) models for sparse recovery and rank minimization. (English) Zbl 1397.94021 SIAM J. Imaging Sci. 10, No. 3, 1346-1380 (2017). MSC: 94A12 15A83 65K10 90C26 PDFBibTeX XMLCite \textit{T.-H. Ma} et al., SIAM J. Imaging Sci. 10, No. 3, 1346--1380 (2017; Zbl 1397.94021) Full Text: DOI
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
Keiper, Sandra; Kutyniok, Gitta; Lee, Dae Gwan; Pfander, Götz E. Compressed sensing for finite-valued signals. (English) Zbl 1370.94153 Linear Algebra Appl. 532, 570-613 (2017). MSC: 94A12 15A12 15A60 15B52 42A61 60B20 90C05 94A20 PDFBibTeX XMLCite \textit{S. Keiper} et al., Linear Algebra Appl. 532, 570--613 (2017; Zbl 1370.94153) Full Text: DOI arXiv
Comon, Pierre; Qi, Yang; Usevich, Konstantin Identifiability of an X-rank decomposition of polynomial maps. (English) Zbl 1373.14061 SIAM J. Appl. Algebra Geom. 1, No. 1, 388-414 (2017). MSC: 14Q10 14M12 15A21 15A69 14N05 PDFBibTeX XMLCite \textit{P. Comon} et al., SIAM J. Appl. Algebra Geom. 1, No. 1, 388--414 (2017; Zbl 1373.14061) 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
Liao, Anping; Yang, Xiaobo; Xie, Jiaxin; Lei, Yuan Analysis of convergence for the alternating direction method applied to joint sparse recovery. (English) Zbl 1410.94021 Appl. Math. Comput. 269, 548-557 (2015). MSC: 94A12 15A29 15B52 65J22 90C25 PDFBibTeX XMLCite \textit{A. Liao} et al., Appl. Math. Comput. 269, 548--557 (2015; Zbl 1410.94021) Full Text: DOI
Chevreuil, M.; Lebrun, R.; Nouy, A.; Rai, P. A least-squares method for sparse low rank approximation of multivariate functions. (English) Zbl 1327.65029 SIAM/ASA J. Uncertain. Quantif. 3, 897-921 (2015). MSC: 65D15 62J02 15A69 PDFBibTeX XMLCite \textit{M. Chevreuil} et al., SIAM/ASA J. Uncertain. Quantif. 3, 897--921 (2015; Zbl 1327.65029) Full Text: DOI arXiv
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
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
Hügel, Max; Rauhut, Holger; Strohmer, Thomas Remote sensing via \(\ell_1\)-minimization. (English) Zbl 1298.65100 Found. Comput. Math. 14, No. 1, 115-150 (2014). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C25 94A12 15B52 90C15 65F35 78A46 PDFBibTeX XMLCite \textit{M. Hügel} et al., Found. Comput. Math. 14, No. 1, 115--150 (2014; Zbl 1298.65100) Full Text: DOI arXiv
Konyagin, S. V.; Malykhin, Yu. V.; Ryutin, K. S. On exact recovery of sparse vectors from linear measurements. (English. Russian original) Zbl 1323.15013 Math. Notes 94, No. 1, 107-114 (2013); translation from Mat. Zametki 94, No. 2, 122-129 (2013). MSC: 15A29 94A12 PDFBibTeX XMLCite \textit{S. V. Konyagin} et al., Math. Notes 94, No. 1, 107--114 (2013; Zbl 1323.15013); translation from Mat. Zametki 94, No. 2, 122--129 (2013) Full Text: DOI
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
Sastry, C. S. Spectral dynamics and regularization of incompletely and irregularly measured data. (English) Zbl 1264.94087 Differ. Equ. Dyn. Syst. 19, No. 3, 181-197 (2011). MSC: 94A20 15B52 42A05 90C25 90C90 94A11 PDFBibTeX XMLCite \textit{C. S. Sastry}, Differ. Equ. Dyn. Syst. 19, No. 3, 181--197 (2011; Zbl 1264.94087) Full Text: DOI
Zhang, H.; Cheng, L. Z. Projected Landweber iteration for matrix completion. (English) Zbl 1225.65049 J. Comput. Appl. Math. 235, No. 3, 593-601 (2010). Reviewer: Hu Yong-Jian (Beijing) MSC: 65F30 15A83 65K05 90C20 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{L. Z. Cheng}, J. Comput. Appl. Math. 235, No. 3, 593--601 (2010; Zbl 1225.65049) Full Text: DOI
Pfander, Götz E.; Rauhut, Holger Sparsity in time-frequency representations. (English) Zbl 1185.42039 J. Fourier Anal. Appl. 16, No. 2, 233-260 (2010). MSC: 42C40 15B52 90C25 PDFBibTeX XMLCite \textit{G. E. Pfander} and \textit{H. Rauhut}, J. Fourier Anal. Appl. 16, No. 2, 233--260 (2010; Zbl 1185.42039) Full Text: DOI arXiv
Jokar, Sadegh; Mehrmann, Volker Sparse solutions to underdetermined Kronecker product systems. (English) Zbl 1181.65058 Linear Algebra Appl. 431, No. 12, 2437-2447 (2009). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65F20 15A06 65F50 15A15 15A21 PDFBibTeX XMLCite \textit{S. Jokar} and \textit{V. Mehrmann}, Linear Algebra Appl. 431, No. 12, 2437--2447 (2009; Zbl 1181.65058) Full Text: DOI arXiv
Kunis, Stefan; Rauhut, Holger Random sampling of sparse trigonometric polynomials. II: Orthogonal matching pursuit versus basis pursuit. (English) Zbl 1165.94314 Found. Comput. Math. 8, No. 6, 737-763 (2008). MSC: 94A20 42A05 15B52 90C05 90C25 PDFBibTeX XMLCite \textit{S. Kunis} and \textit{H. Rauhut}, Found. Comput. Math. 8, No. 6, 737--763 (2008; Zbl 1165.94314) Full Text: DOI arXiv
El Karoui, Noureddine Spectrum estimation for large dimensional covariance matrices using random matrix theory. (English) Zbl 1168.62052 Ann. Stat. 36, No. 6, 2757-2790 (2008). MSC: 62H12 15B52 90C25 15A18 62H25 62A09 PDFBibTeX XMLCite \textit{N. El Karoui}, Ann. Stat. 36, No. 6, 2757--2790 (2008; Zbl 1168.62052) Full Text: DOI arXiv
Tropp, Joel A. On the conditioning of random subdictionaries. (English) Zbl 1143.15026 Appl. Comput. Harmon. Anal. 25, No. 1, 1-24 (2008). MSC: 15B52 90C25 60B11 15A06 PDFBibTeX XMLCite \textit{J. A. Tropp}, Appl. Comput. Harmon. Anal. 25, No. 1, 1--24 (2008; Zbl 1143.15026) Full Text: DOI
Georgiev, Pando; Pardalos, Panos; Theis, Fabian A bilinear algorithm for sparse representations. (English) Zbl 1183.65042 Comput. Optim. Appl. 38, No. 2, 249-259 (2007). Reviewer: José Mas (Valéncia) MSC: 65F30 15A23 93B30 65F50 PDFBibTeX XMLCite \textit{P. Georgiev} et al., Comput. Optim. Appl. 38, No. 2, 249--259 (2007; Zbl 1183.65042) Full Text: DOI
Rauhut, Holger Random sampling of sparse trigonometric polynomials. (English) Zbl 1123.94004 Appl. Comput. Harmon. Anal. 22, No. 1, 16-42 (2007). MSC: 94A20 42A05 15B52 PDFBibTeX XMLCite \textit{H. Rauhut}, Appl. Comput. Harmon. Anal. 22, No. 1, 16--42 (2007; Zbl 1123.94004) Full Text: DOI arXiv
Aharon, Michal; Elad, Michael; Bruckstein, Alfred M. On the uniqueness of overcomplete dictionaries, and a practical way to retrieve them. (English) Zbl 1096.68042 Linear Algebra Appl. 416, No. 1, 48-67 (2006). Reviewer: Aniket Mahanti (Calgary) MSC: 68P20 65F20 68U10 94A08 15A06 PDFBibTeX XMLCite \textit{M. Aharon} et al., Linear Algebra Appl. 416, No. 1, 48--67 (2006; Zbl 1096.68042) Full Text: DOI