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Gao, Kaixin; Huang, Zheng-Hai; Guo, Lulu Low-rank matrix recovery problem minimizing a new ratio of two norms approximating the rank function then using an ADMM-type solver with applications. (English) Zbl 07756769 J. Comput. Appl. Math. 438, Article ID 115564, 22 p. (2024). MSC: 94A12 94A08 90C25 15B52 65K05 PDFBibTeX XMLCite \textit{K. Gao} et al., J. Comput. Appl. Math. 438, Article ID 115564, 22 p. (2024; Zbl 07756769) Full Text: DOI
Huo, Limei; Chen, Wengu; Ge, Huanmin; Ng, Michael K. \( L_1-\beta L_q\) minimization for signal and image recovery. (English) Zbl 07784231 SIAM J. Imaging Sci. 16, No. 4, 1886-1928 (2023). MSC: 65K05 65F22 PDFBibTeX XMLCite \textit{L. Huo} et al., SIAM J. Imaging Sci. 16, No. 4, 1886--1928 (2023; Zbl 07784231) Full Text: DOI
Tao, Min; Zhang, Xiao-Ping Study on \(L_1\) over \(L_2\) Minimization for nonnegative signal recovery. (English) Zbl 1519.90196 J. Sci. Comput. 95, No. 3, Paper No. 94, 24 p. (2023). MSC: 90C26 90C32 90C90 49N45 PDFBibTeX XMLCite \textit{M. Tao} and \textit{X.-P. Zhang}, J. Sci. Comput. 95, No. 3, Paper No. 94, 24 p. (2023; Zbl 1519.90196) Full Text: DOI
Hu, Mengqi; Lou, Yifei; Wang, Bao; Yan, Ming; Yang, Xiu; Ye, Qiang Accelerated sparse recovery via gradient descent with nonlinear conjugate gradient momentum. (English) Zbl 1520.65046 J. Sci. Comput. 95, No. 1, Paper No. 33, 21 p. (2023). MSC: 65K10 PDFBibTeX XMLCite \textit{M. Hu} et al., J. Sci. Comput. 95, No. 1, Paper No. 33, 21 p. (2023; Zbl 1520.65046) Full Text: DOI arXiv
Sheng, Tianhong; Li, Bing; Solea, Eftychia On skewed Gaussian graphical models. (English) Zbl 1520.62074 J. Multivariate Anal. 194, Article ID 105129, 19 p. (2023). MSC: 62H22 62H12 62F12 62P10 62-08 PDFBibTeX XMLCite \textit{T. Sheng} et al., J. Multivariate Anal. 194, Article ID 105129, 19 p. (2023; Zbl 1520.62074) Full Text: DOI
Hu, Mengqi; Lou, Yifei; Yang, Xiu A general framework of rotational sparse approximation in uncertainty quantification. (English) Zbl 1511.41003 SIAM/ASA J. Uncertain. Quantif. 10, 1410-1434 (2022). MSC: 41A10 65C30 90C26 PDFBibTeX XMLCite \textit{M. Hu} et al., SIAM/ASA J. Uncertain. Quantif. 10, 1410--1434 (2022; Zbl 1511.41003) Full Text: DOI arXiv
Wu, Tingting; Mao, Zhihui; Li, Zeyu; Zeng, Yonghua; Zeng, Tieyong Efficient color image segmentation via quaternion-based \(L_1/L_2\) Regularization. (English) Zbl 1505.94011 J. Sci. Comput. 93, No. 1, Paper No. 9, 26 p. (2022). MSC: 94A08 65D18 65K10 PDFBibTeX XMLCite \textit{T. Wu} et al., J. Sci. Comput. 93, No. 1, Paper No. 9, 26 p. (2022; Zbl 1505.94011) Full Text: DOI
Huo, Limei; Chen, Wengu; Ge, Huanmin; Ng, Michael K. Stable image reconstruction using transformed total variation minimization. (English) Zbl 1492.94020 SIAM J. Imaging Sci. 15, No. 3, 1104-1139 (2022). MSC: 94A08 65F22 PDFBibTeX XMLCite \textit{L. Huo} et al., SIAM J. Imaging Sci. 15, No. 3, 1104--1139 (2022; Zbl 1492.94020) Full Text: DOI
Tao, Min Minimization of \(L_1\) over \(L_2\) for sparse signal recovery with convergence guarantee. (English) Zbl 1490.90234 SIAM J. Sci. Comput. 44, No. 2, A770-A797 (2022). MSC: 90C26 90C90 49N45 PDFBibTeX XMLCite \textit{M. Tao}, SIAM J. Sci. Comput. 44, No. 2, A770--A797 (2022; Zbl 1490.90234) Full Text: DOI
Doan, Xuan Vinh; Vavasis, Stephen Low-rank matrix recovery with Ky Fan 2-\(k\)-norm. (English) Zbl 1490.90219 J. Glob. Optim. 82, No. 4, 727-751 (2022). MSC: 90C25 90C90 PDFBibTeX XMLCite \textit{X. V. Doan} and \textit{S. Vavasis}, J. Glob. Optim. 82, No. 4, 727--751 (2022; Zbl 1490.90219) Full Text: DOI arXiv
Bui, Kevin; Park, Fredrick; Lou, Yifei; Xin, Jack A weighted difference of anisotropic and isotropic total variation for relaxed Mumford-Shah color and multiphase image segmentation. (English) Zbl 1478.94016 SIAM J. Imaging Sci. 14, No. 3, 1078-1113 (2021). MSC: 94A08 65D18 65K10 68U10 90C90 PDFBibTeX XMLCite \textit{K. Bui} et al., SIAM J. Imaging Sci. 14, No. 3, 1078--1113 (2021; Zbl 1478.94016) Full Text: DOI arXiv
Wang, Chao; Tao, Min; Nagy, James G.; Lou, Yifei Limited-angle CT reconstruction via the \(L_1/L_2\) minimization. (English) Zbl 1474.92052 SIAM J. Imaging Sci. 14, No. 2, 749-777 (2021). MSC: 92C55 65K10 68U10 49N45 49M20 PDFBibTeX XMLCite \textit{C. Wang} et al., SIAM J. Imaging Sci. 14, No. 2, 749--777 (2021; Zbl 1474.92052) Full Text: DOI arXiv
Ke, Chengyu; Ahn, Miju; Shin, Sunyoung; Lou, Yifei Iteratively reweighted group Lasso based on log-composite regularization. (English) Zbl 1476.62157 SIAM J. Sci. Comput. 43, No. 5, S655-S678 (2021). MSC: 62J07 62-08 65K05 90C26 92C60 92D10 PDFBibTeX XMLCite \textit{C. Ke} et al., SIAM J. Sci. Comput. 43, No. 5, S655--S678 (2021; Zbl 1476.62157) Full Text: DOI
Xu, Yiming; Narayan, Akil; Tran, Hoang; Webster, Clayton G. Analysis of the ratio of \(\ell_1\) and \(\ell_2\) norms in compressed sensing. (English) Zbl 07390693 Appl. Comput. Harmon. Anal. 55, 486-511 (2021). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{Y. Xu} et al., Appl. Comput. Harmon. Anal. 55, 486--511 (2021; Zbl 07390693) Full Text: DOI arXiv
Zeng, Liaoyuan; Yu, Peiran; Pong, Ting Kei Analysis and algorithms for some compressed sensing models based on L1/L2 minimization. (English) Zbl 1470.90098 SIAM J. Optim. 31, No. 2, 1576-1603 (2021). MSC: 90C26 90C32 90C55 90C90 PDFBibTeX XMLCite \textit{L. Zeng} et al., SIAM J. Optim. 31, No. 2, 1576--1603 (2021; Zbl 1470.90098) Full Text: DOI arXiv
Guo, Weihong; Lou, Yifei; Qin, Jing; Yan, Ming A novel regularization based on the error function for sparse recovery. (English) Zbl 1462.90069 J. Sci. Comput. 87, No. 1, Paper No. 31, 22 p. (2021). MSC: 90C05 90C26 49N45 PDFBibTeX XMLCite \textit{W. Guo} et al., J. Sci. Comput. 87, No. 1, Paper No. 31, 22 p. (2021; Zbl 1462.90069) Full Text: DOI arXiv
Li, Peng; Chen, Wengu; Ge, Huanmin; Ng, Michael K. \(\ell_1-\alpha\ell_2\) minimization methods for signal and image reconstruction with impulsive noise removal. (English) Zbl 1468.94021 Inverse Probl. 36, No. 5, Article ID 055009, 30 p. (2020). MSC: 94A08 94A12 90C26 65K05 68U10 PDFBibTeX XMLCite \textit{P. Li} et al., Inverse Probl. 36, No. 5, Article ID 055009, 30 p. (2020; Zbl 1468.94021) Full Text: DOI
Tran, Hoang; Webster, Clayton A class of null space conditions for sparse recovery via nonconvex, non-separable minimizations. (English) Zbl 1458.94133 Results Appl. Math. 3, Article ID 100011, 12 p. (2019). MSC: 94A12 94A15 90C26 PDFBibTeX XMLCite \textit{H. Tran} and \textit{C. Webster}, Results Appl. Math. 3, Article ID 100011, 12 p. (2019; Zbl 1458.94133) Full Text: DOI arXiv
Rahimi, Yaghoub; Wang, Chao; Dong, Hongbo; Lou, Yifei A scale-invariant approach for sparse signal recovery. (English) Zbl 1427.94050 SIAM J. Sci. Comput. 41, No. 6, A3649-A3672 (2019). MSC: 94A12 90C90 65K10 49N45 49M20 PDFBibTeX XMLCite \textit{Y. Rahimi} et al., SIAM J. Sci. Comput. 41, No. 6, A3649--A3672 (2019; Zbl 1427.94050) Full Text: DOI arXiv
Petrosyan, Armenak; Tran, Hoang; Webster, Clayton Reconstruction of jointly sparse vectors via manifold optimization. (English) Zbl 1418.90204 Appl. Numer. Math. 144, 140-150 (2019). MSC: 90C26 53C15 PDFBibTeX XMLCite \textit{A. Petrosyan} et al., Appl. Numer. Math. 144, 140--150 (2019; Zbl 1418.90204) Full Text: DOI arXiv
Long, Xiaolong; Solna, Knut; Xin, Jack Three \(l_1\) based nonconvex methods in constructing sparse mean reverting portfolios. (English) Zbl 1458.62248 J. Sci. Comput. 75, No. 2, 1156-1186 (2018). MSC: 62P05 90C20 90C26 PDFBibTeX XMLCite \textit{X. Long} et al., J. Sci. Comput. 75, No. 2, 1156--1186 (2018; Zbl 1458.62248) Full Text: DOI
Lou, Yifei; Zeng, Tieyong; Osher, Stanley; Xin, Jack A weighted difference of anisotropic and isotropic total variation model for image processing. (English) Zbl 1322.94019 SIAM J. Imaging Sci. 8, No. 3, 1798-1823 (2015). MSC: 94A08 65K10 90C90 49N45 49M20 PDFBibTeX XMLCite \textit{Y. Lou} et al., SIAM J. Imaging Sci. 8, No. 3, 1798--1823 (2015; Zbl 1322.94019) Full Text: DOI
Lou, Yifei; Yin, Penghang; He, Qi; Xin, Jack Computing sparse representation in a highly coherent dictionary based on difference of \(L_1\) and \(L_2\). (English) Zbl 1327.65111 J. Sci. Comput. 64, No. 1, 178-196 (2015). MSC: 65K05 65T50 94A12 90C25 PDFBibTeX XMLCite \textit{Y. Lou} et al., J. Sci. Comput. 64, No. 1, 178--196 (2015; Zbl 1327.65111) Full Text: DOI
Yin, Penghang; Lou, Yifei; He, Qi; Xin, Jack Minimization of \(\ell_{1-2}\) for compressed sensing. (English) Zbl 1316.90037 SIAM J. Sci. Comput. 37, No. 1, A536-A563 (2015). MSC: 90C26 65K10 49M29 PDFBibTeX XMLCite \textit{P. Yin} et al., SIAM J. Sci. Comput. 37, No. 1, A536--A563 (2015; Zbl 1316.90037) Full Text: DOI