Wang, Chao; Yan, Ming; Yu, Junjie Sorted \(L_1/L_2\) minimization for sparse signal recovery. (English) Zbl 07823283 J. Sci. Comput. 99, No. 2, Paper No. 32, 19 p. (2024). MSC: 90C05 90C26 65K10 PDFBibTeX XMLCite \textit{C. Wang} et al., J. Sci. Comput. 99, No. 2, Paper No. 32, 19 p. (2024; Zbl 07823283) Full Text: DOI arXiv
Hoai An Le Thi; Tao Pham Dinh Open issues and recent advances in DC programming and DCA. (English) Zbl 07822723 J. Glob. Optim. 88, No. 3, 533-590 (2024). MSC: 90Cxx PDFBibTeX XMLCite \textit{Hoai An Le Thi} and \textit{Tao Pham Dinh}, J. Glob. Optim. 88, No. 3, 533--590 (2024; Zbl 07822723) Full Text: DOI
Xie, Shaohua; Li, Jia \(k\)-sparse vector recovery via truncated \(\ell_1 -\ell_2\) local minimization. (English) Zbl 07792594 Optim. Lett. 18, No. 1, 291-305 (2024). MSC: 90Cxx PDFBibTeX XMLCite \textit{S. Xie} and \textit{J. Li}, Optim. Lett. 18, No. 1, 291--305 (2024; Zbl 07792594) Full Text: DOI
Lu, Xiaofan; Zhang, Linan; He, Hongjin Structured model selection via \(\ell_1-\ell_2\) optimization. (English) Zbl 07780887 Inverse Probl. 40, No. 1, Article ID 015011, 28 p. (2024). MSC: 90Cxx 94Axx 65Kxx PDFBibTeX XMLCite \textit{X. Lu} et al., Inverse Probl. 40, No. 1, Article ID 015011, 28 p. (2024; Zbl 07780887) Full Text: DOI arXiv
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
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
An, Congpei; Wu, Hao-Ning; Yuan, Xiaoming Enhanced total variation minimization for stable image reconstruction. (English) Zbl 1518.94004 Inverse Probl. 39, No. 7, Article ID 075005, 37 p. (2023). Reviewer: Oscar Bustos (Córdoba) MSC: 94A08 68U10 60G35 60H50 60J60 PDFBibTeX XMLCite \textit{C. An} et al., Inverse Probl. 39, No. 7, Article ID 075005, 37 p. (2023; Zbl 1518.94004) Full Text: DOI arXiv
Gao, Xuerui; Bai, Yanqin; Fang, Shu-Cherng; Luo, Jian; Li, Qian A new hybrid \(l_p\)-\(l_2\) model for sparse solutions with applications to image processing. (English) Zbl 1524.90255 J. Ind. Manag. Optim. 19, No. 2, 890-915 (2023). MSC: 90C26 90C46 90C90 65K05 PDFBibTeX XMLCite \textit{X. Gao} et al., J. Ind. Manag. Optim. 19, No. 2, 890--915 (2023; Zbl 1524.90255) Full Text: DOI
Ding, Yanyun; Zhang, Haibin; Li, Peili; Xiao, Yunhai An efficient semismooth Newton method for adaptive sparse signal recovery problems. (English) Zbl 1515.90129 Optim. Methods Softw. 38, No. 2, 262-288 (2023). MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{Y. Ding} et al., Optim. Methods Softw. 38, No. 2, 262--288 (2023; Zbl 1515.90129) Full Text: DOI arXiv
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
Shen, Yi; Guo, Wan-ling; Hu, Rui-fang On the grouping effect of the \(l_{1-2}\) models. (English) Zbl 1513.90148 Appl. Math., Ser. B (Engl. Ed.) 37, No. 3, 422-434 (2022). MSC: 90C26 65K10 49M29 68T05 PDFBibTeX XMLCite \textit{Y. Shen} et al., Appl. Math., Ser. B (Engl. Ed.) 37, No. 3, 422--434 (2022; Zbl 1513.90148) 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
Wu, Tingting; Gu, Xiaoyu; Li, Zeyu; Li, Zhi; Niu, Jianwei; Zeng, Tieyong Efficient boosted DC algorithm for nonconvex image restoration with Rician noise. (English) Zbl 1487.94032 SIAM J. Imaging Sci. 15, No. 2, 424-454 (2022). MSC: 94A08 65K10 68U10 90C26 PDFBibTeX XMLCite \textit{T. Wu} et al., SIAM J. Imaging Sci. 15, No. 2, 424--454 (2022; Zbl 1487.94032) Full Text: DOI
Wu, Tingting; Zhao, Yichen; Mao, Zhihui; Shi, Li; Li, Zhi; Zeng, Yonghua Image segmentation via Fischer-Burmeister total variation and thresholding. (English) Zbl 1499.94015 Adv. Appl. Math. Mech. 14, No. 4, 960-988 (2022). MSC: 94A08 65K10 68U10 PDFBibTeX XMLCite \textit{T. Wu} et al., Adv. Appl. Math. Mech. 14, No. 4, 960--988 (2022; Zbl 1499.94015) 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
Ge, Huanmin; Li, Peng The Dantzig selector: recovery of signal via \(\ell_1-\alpha\ell_2\) minimization. (English) Zbl 1479.94063 Inverse Probl. 38, No. 1, Article ID 015006, 33 p. (2022). MSC: 94A12 90C25 PDFBibTeX XMLCite \textit{H. Ge} and \textit{P. Li}, Inverse Probl. 38, No. 1, Article ID 015006, 33 p. (2022; Zbl 1479.94063) Full Text: DOI arXiv
Bi, Ning; Tang, Wai-Shing A necessary and sufficient condition for sparse vector recovery via \(\ell_1-\ell_2\) minimization. (English) Zbl 1485.90095 Appl. Comput. Harmon. Anal. 56, 337-350 (2022). MSC: 90C26 94A12 PDFBibTeX XMLCite \textit{N. Bi} and \textit{W.-S. Tang}, Appl. Comput. Harmon. Anal. 56, 337--350 (2022; Zbl 1485.90095) Full Text: DOI
Bi, Ning; Tan, Jun; Tang, Wai-Shing A new sufficient condition for sparse vector recovery via \(\ell_1\)-\( \ell_2\) local minimization. (English) Zbl 1492.94029 Anal. Appl., Singap. 19, No. 6, 1019-1031 (2021). MSC: 94A12 94A20 46N10 41A29 42C15 PDFBibTeX XMLCite \textit{N. Bi} et al., Anal. Appl., Singap. 19, No. 6, 1019--1031 (2021; Zbl 1492.94029) Full Text: DOI
Gao, Xuerui; Bai, Yanqin; Li, Qian A sparse optimization problem with hybrid \(L_2\)-\(L_p\) regularization for application of magnetic resonance brain images. (English) Zbl 1482.90169 J. Comb. Optim. 42, No. 4, 760-784 (2021). MSC: 90C26 90C46 90C90 65K05 PDFBibTeX XMLCite \textit{X. Gao} et al., J. Comb. Optim. 42, No. 4, 760--784 (2021; Zbl 1482.90169) Full Text: DOI
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
Ge, Huanmin; Chen, Wengu; Ng, Michael K. New restricted isometry property analysis for \(\ell_1-\ell_2\) minimization methods. (English) Zbl 1474.94041 SIAM J. Imaging Sci. 14, No. 2, 530-557 (2021). MSC: 94A12 90C26 90C90 PDFBibTeX XMLCite \textit{H. Ge} et al., SIAM J. Imaging Sci. 14, No. 2, 530--557 (2021; Zbl 1474.94041) Full Text: DOI
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
Bian, Fengmiao; Zhang, Xiaoqun A three-operator splitting algorithm for nonconvex sparsity regularization. (English) Zbl 1473.90126 SIAM J. Sci. Comput. 43, No. 4, A2809-A2839 (2021). MSC: 90C26 90C30 90C90 15A83 65K05 PDFBibTeX XMLCite \textit{F. Bian} and \textit{X. Zhang}, SIAM J. Sci. Comput. 43, No. 4, A2809--A2839 (2021; Zbl 1473.90126) 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
Geng, Pengbo; Chen, Wengu Unconstrained \(\ell_1\)-\(\ell_2\) minimization for sparse recovery via mutual coherence. (English) Zbl 1490.94036 Math. Found. Comput. 3, No. 2, 65-79 (2020). MSC: 94A12 PDFBibTeX XMLCite \textit{P. Geng} and \textit{W. Chen}, Math. Found. Comput. 3, No. 2, 65--79 (2020; Zbl 1490.94036) Full Text: DOI
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
Liu, Jingjing; Lou, Yifei; Ni, Guoxi; Zeng, Tieyong An image sharpening operator combined with framelet for image deblurring. (English) Zbl 1468.94022 Inverse Probl. 36, No. 4, Article ID 045015, 29 p. (2020). MSC: 94A08 65R32 65K05 68U10 42C40 42C15 90C25 90C26 PDFBibTeX XMLCite \textit{J. Liu} et al., Inverse Probl. 36, No. 4, Article ID 045015, 29 p. (2020; Zbl 1468.94022) Full Text: DOI
Ma, Rongrong; Miao, Jianyu; Niu, Lingfeng; Zhang, Peng Transformed \(\ell_1\) regularization for learning sparse deep neural networks. (English) Zbl 1434.68512 Neural Netw. 119, 286-298 (2019). MSC: 68T07 PDFBibTeX XMLCite \textit{R. Ma} et al., Neural Netw. 119, 286--298 (2019; Zbl 1434.68512) 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
Sun, Tao; Yin, Penghang; Cheng, Lizhi; Jiang, Hao Alternating direction method of multipliers with difference of convex functions. (English) Zbl 1393.90119 Adv. Comput. Math. 44, No. 3, 723-744 (2018). MSC: 90C30 90C26 47N10 PDFBibTeX XMLCite \textit{T. Sun} et al., Adv. Comput. Math. 44, No. 3, 723--744 (2018; Zbl 1393.90119) Full Text: DOI
Pang, Jong-Shi; Tao, Min Decomposition methods for computing directional stationary solutions of a class of nonsmooth nonconvex optimization problems. (English) Zbl 1397.90316 SIAM J. Optim. 28, No. 2, 1640-1669 (2018). MSC: 90C26 68W20 PDFBibTeX XMLCite \textit{J.-S. Pang} and \textit{M. Tao}, SIAM J. Optim. 28, No. 2, 1640--1669 (2018; Zbl 1397.90316) Full Text: DOI
Zhang, Shuai; Xin, Jack Minimization of transformed \(L_1\) penalty: theory, difference of convex function algorithm, and robust application in compressed sensing. (English) Zbl 1386.94049 Math. Program. 169, No. 1 (B), 307-336 (2018). MSC: 94A12 90C26 65K10 90C90 PDFBibTeX XMLCite \textit{S. Zhang} and \textit{J. Xin}, Math. Program. 169, No. 1 (B), 307--336 (2018; Zbl 1386.94049) Full Text: DOI arXiv
Le Thi, Hoai An; Pham Dinh, Tao DC programming and DCA: thirty years of developments. (English) Zbl 1387.90197 Math. Program. 169, No. 1 (B), 5-68 (2018). MSC: 90C26 90-02 90-03 01A60 01A61 90C90 PDFBibTeX XMLCite \textit{H. A. Le Thi} and \textit{T. Pham Dinh}, Math. Program. 169, No. 1 (B), 5--68 (2018; Zbl 1387.90197) Full Text: DOI
Lou, Yifei; Yan, Ming Fast L1-L2 minimization via a proximal operator. (English) Zbl 1390.90447 J. Sci. Comput. 74, No. 2, 767-785 (2018). MSC: 90C26 65K10 49M29 PDFBibTeX XMLCite \textit{Y. Lou} and \textit{M. Yan}, J. Sci. Comput. 74, No. 2, 767--785 (2018; Zbl 1390.90447) Full Text: DOI arXiv
Pham Dinh, Tao; Ho, Vinh Thanh; Le Thi, Hoai An DC programming and DCA for solving Brugnano-Casulli piecewise linear systems. (English) Zbl 1391.90494 Comput. Oper. Res. 87, 196-204 (2017). MSC: 90C26 90C56 PDFBibTeX XMLCite \textit{T. Pham Dinh} et al., Comput. Oper. Res. 87, 196--204 (2017; Zbl 1391.90494) Full Text: DOI
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
Wang, Dan; Zhang, Zhuhong Generalized sparse recovery model and its neural dynamical optimization method for compressed sensing. (English) Zbl 1373.94725 Circuits Syst. Signal Process. 36, No. 11, 4326-4353 (2017). MSC: 94A12 92B20 PDFBibTeX XMLCite \textit{D. Wang} and \textit{Z. Zhang}, Circuits Syst. Signal Process. 36, No. 11, 4326--4353 (2017; Zbl 1373.94725) Full Text: DOI
Yan, Liang; Shin, Yeonjong; Xiu, Dongbin Sparse approximation using \(\ell_1-\ell_2\) minimization and its application to stochastic collocation. (English) Zbl 1381.94029 SIAM J. Sci. Comput. 39, No. 1, A229-A254 (2017). MSC: 94A08 65D05 65D15 42C05 90C90 PDFBibTeX XMLCite \textit{L. Yan} et al., SIAM J. Sci. Comput. 39, No. 1, A229--A254 (2017; Zbl 1381.94029) Full Text: DOI
Liu, Chanzi; Chen, Qingchun; Zhou, Bingpeng; Li, Hengchao \(\ell_1\)- and \(\ell_2\)-norm joint regularization based sparse signal reconstruction scheme. (English) Zbl 1400.94058 Math. Probl. Eng. 2016, Article ID 3567095, 11 p. (2016). MSC: 94A12 PDFBibTeX XMLCite \textit{C. Liu} et al., Math. Probl. Eng. 2016, Article ID 3567095, 11 p. (2016; Zbl 1400.94058) Full Text: DOI
Li, Zhi; Lou, Yifei; Zeng, Tieyong Variational multiplicative noise removal by DC programming. (English) Zbl 1350.49047 J. Sci. Comput. 68, No. 3, 1200-1216 (2016). MSC: 49M37 49M29 49M20 49N45 65K05 65K10 90C30 90C90 94A08 68U10 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Sci. Comput. 68, No. 3, 1200--1216 (2016; Zbl 1350.49047) Full Text: DOI
Lou, Yifei; Yin, Penghang; Xin, Jack Point source super-resolution via non-convex \(L_1\) based methods. (English) Zbl 1354.65125 J. Sci. Comput. 68, No. 3, 1082-1100 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65K05 94A12 65J22 65T40 90C26 PDFBibTeX XMLCite \textit{Y. Lou} et al., J. Sci. Comput. 68, No. 3, 1082--1100 (2016; Zbl 1354.65125) 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
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