Pietrosanu, Matthew; Gao, Jueyu; Kong, Linglong; Jiang, Bei; Niu, Di Advanced algorithms for penalized quantile and composite quantile regression. (English) Zbl 07315558 Comput. Stat. 36, No. 1, 333-346 (2021). MSC: 65C60 PDF BibTeX XML Cite \textit{M. Pietrosanu} et al., Comput. Stat. 36, No. 1, 333--346 (2021; Zbl 07315558) Full Text: DOI
Bai, Jianchao; Chang, Xiaokai; Li, Jicheng; Xu, Fengmin Convergence revisit on generalized symmetric ADMM. (English) Zbl 07313462 Optimization 70, No. 1, 149-168 (2021). MSC: 65K10 68W40 90C25 PDF BibTeX XML Cite \textit{J. Bai} et al., Optimization 70, No. 1, 149--168 (2021; Zbl 07313462) Full Text: DOI
Shen, Yuan; Zuo, Yannian; Yu, Aolin A partially proximal S-ADMM for separable convex optimization with linear constraints. (English) Zbl 07310763 Appl. Numer. Math. 160, 65-83 (2021). MSC: 65C 62P PDF BibTeX XML Cite \textit{Y. Shen} et al., Appl. Numer. Math. 160, 65--83 (2021; Zbl 07310763) Full Text: DOI
Jia, Zehui; Huang, Jieru; Wu, Zhongming An incremental aggregated proximal ADMM for linearly constrained nonconvex optimization with application to sparse logistic regression problems. (English) Zbl 07309649 J. Comput. Appl. Math. 390, Article ID 113384, 22 p. (2021). MSC: 90C 90 68T PDF BibTeX XML Cite \textit{Z. Jia} et al., J. Comput. Appl. Math. 390, Article ID 113384, 22 p. (2021; Zbl 07309649) Full Text: DOI
Chen, Liang; Li, Xudong; Sun, Defeng; Toh, Kim-Chuan On the equivalence of inexact proximal ALM and ADMM for a class of convex composite programming. (English) Zbl 07300736 Math. Program. 185, No. 1-2 (A), 111-161 (2021). MSC: 90C25 65K05 90C06 49M27 90C20 PDF BibTeX XML Cite \textit{L. Chen} et al., Math. Program. 185, No. 1--2 (A), 111--161 (2021; Zbl 07300736) Full Text: DOI
Liu, Jingjing; Ma, Shiwei; Xiu, Xianchao Image set face recognition via the mixed \(\ell_0\)-norm sparse representation. (English) Zbl 07313896 Pac. J. Optim. 16, No. 2, 175-194 (2020). MSC: 90C90 65K05 PDF BibTeX XML Cite \textit{J. Liu} et al., Pac. J. Optim. 16, No. 2, 175--194 (2020; Zbl 07313896) Full Text: Link
Deng, Zhao; Liu, Sanyang Generalized Peaceman-Rachford splitting method with substitution for convex programming. (English) Zbl 07311788 Optim. Lett. 14, No. 7, 1781-1802 (2020). MSC: 90C PDF BibTeX XML Cite \textit{Z. Deng} and \textit{S. Liu}, Optim. Lett. 14, No. 7, 1781--1802 (2020; Zbl 07311788) Full Text: DOI
Wang, Qingsong; Wang, Chengjing; Tang, Peipei; Niu, Dunbiao An inexact dual alternating direction method of multipliers for image decomposition and restoration. (English) Zbl 07309374 Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040010, 25 p. (2020). MSC: 94 PDF BibTeX XML Cite \textit{Q. Wang} et al., Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040010, 25 p. (2020; Zbl 07309374) Full Text: DOI
Chen, Liang; Chang, Xiaokai; Liu, Sanyang A three-operator splitting perspective of a three-block ADMM for convex quadratic semidefinite programming and beyond. (English) Zbl 07309373 Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040009, 30 p. (2020). MSC: 90C PDF BibTeX XML Cite \textit{L. Chen} et al., Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040009, 30 p. (2020; Zbl 07309373) Full Text: DOI
Bombina, Polina; Ames, Brendan Convex optimization for the densest subgraph and densest submatrix problems. (English) Zbl 07307556 SN Oper. Res. Forum 1, No. 3, Paper No. 23, 25 p. (2020). MSC: 90C PDF BibTeX XML Cite \textit{P. Bombina} and \textit{B. Ames}, SN Oper. Res. Forum 1, No. 3, Paper No. 23, 25 p. (2020; Zbl 07307556) Full Text: DOI
Pougkakiotis, Spyridon; Pearson, John W.; Leveque, Santolo; Gondzio, Jacek Fast solution methods for convex quadratic optimization of fractional differential equations. (English) Zbl 07301495 SIAM J. Matrix Anal. Appl. 41, No. 3, 1443-1476 (2020). MSC: 65F08 65M22 65F10 35R11 PDF BibTeX XML Cite \textit{S. Pougkakiotis} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 1443--1476 (2020; Zbl 07301495) Full Text: DOI
Luo, Gang; Yang, Qingzhi A fast symmetric alternating direction method of multipliers. (English) Zbl 07296112 Numer. Math., Theory Methods Appl. 13, No. 1, 200-219 (2020). MSC: 90C25 90C30 PDF BibTeX XML Cite \textit{G. Luo} and \textit{Q. Yang}, Numer. Math., Theory Methods Appl. 13, No. 1, 200--219 (2020; Zbl 07296112) Full Text: DOI
Chang, Huibin; Zhang, Jie Review of variational regularization method for mixed Poisson-Gaussian noise removal. (Chinese. English summary) Zbl 07295857 J. Tianjin Norm. Univ., Nat. Sci. Ed. 40, No. 4, 1-10 (2020). MSC: 68U10 94A08 PDF BibTeX XML Cite \textit{H. Chang} and \textit{J. Zhang}, J. Tianjin Norm. Univ., Nat. Sci. Ed. 40, No. 4, 1--10 (2020; Zbl 07295857) Full Text: DOI
Shi, Bingbing; Wang, Qingsong A dual inexact alternating direction method of multipliers for the nuclear norm regularized least squares problem. (Chinese. English summary) Zbl 07294997 Appl. Math., Ser. A (Chin. Ed.) 35, No. 2, 181-190 (2020). MSC: 65F22 65F30 65F35 PDF BibTeX XML Cite \textit{B. Shi} and \textit{Q. Wang}, Appl. Math., Ser. A (Chin. Ed.) 35, No. 2, 181--190 (2020; Zbl 07294997) Full Text: DOI
Gu, Yan; Yamashita, Nobuo Alternating direction method of multipliers with variable metric indefinite proximal terms for convex optimization. (English) Zbl 1452.90243 Numer. Algebra Control Optim. 10, No. 4, 487-510 (2020). MSC: 90C25 90C53 65K05 PDF BibTeX XML Cite \textit{Y. Gu} and \textit{N. Yamashita}, Numer. Algebra Control Optim. 10, No. 4, 487--510 (2020; Zbl 1452.90243) Full Text: DOI
Hong, Mingyi; Chang, Tsung-Hui; Wang, Xiangfeng; Razaviyayn, Meisam; Ma, Shiqian; Luo, Zhi-Quan A block successive upper-bound minimization method of multipliers for linearly constrained convex optimization. (English) Zbl 07291297 Math. Oper. Res. 45, No. 3, 833-861 (2020). MSC: 90C25 PDF BibTeX XML Cite \textit{M. Hong} et al., Math. Oper. Res. 45, No. 3, 833--861 (2020; Zbl 07291297) Full Text: DOI
Hu, Hao; Sotirov, Renata On solving the quadratic shortest path problem. (English) Zbl 1451.90018 INFORMS J. Comput. 32, No. 2, 219-233 (2020). MSC: 90B06 90B10 90C27 90C22 05C20 05C38 PDF BibTeX XML Cite \textit{H. Hu} and \textit{R. Sotirov}, INFORMS J. Comput. 32, No. 2, 219--233 (2020; Zbl 1451.90018) Full Text: DOI
Toyoda, Mitsuru; Tanaka, Mirai Local R-linear convergence of ADMM-based algorithm for \(\ell_1\)-norm minimization with linear and box constraints. (English) Zbl 07290577 Syst. Control Lett. 146, Article ID 104824, 8 p. (2020). MSC: 90C30 PDF BibTeX XML Cite \textit{M. Toyoda} and \textit{M. Tanaka}, Syst. Control Lett. 146, Article ID 104824, 8 p. (2020; Zbl 07290577) Full Text: DOI
Li, Chaoqiong; Li, Feng A partial parallel splitting LQP alternating direction method of multipliers for solving monotone variational inequalities. (Chinese. English summary) Zbl 07267484 Oper. Res. Trans. 24, No. 1, 101-114 (2020). MSC: 90C33 65K15 PDF BibTeX XML Cite \textit{C. Li} and \textit{F. Li}, Oper. Res. Trans. 24, No. 1, 101--114 (2020; Zbl 07267484) Full Text: DOI
Zhang, Meng; Liang, Yaxing; Chen, Yan; Liu, Jiaxin; Gui, Zhiguo; Zhang, Quan An adaptive sparse-view CT reconstruction algorithm based on structure tensor. (Chinese. English summary) Zbl 07266943 J. North Univ. China, Nat. Sci. 41, No. 3, 261-266 (2020). MSC: 92C55 PDF BibTeX XML Cite \textit{M. Zhang} et al., J. North Univ. China, Nat. Sci. 41, No. 3, 261--266 (2020; Zbl 07266943) Full Text: DOI
Buccini, Alessandro; Dell’Acqua, Pietro; Donatelli, Marco A general framework for ADMM acceleration. (English) Zbl 1450.65051 Numer. Algorithms 85, No. 3, 829-848 (2020). MSC: 65K05 65D18 PDF BibTeX XML Cite \textit{A. Buccini} et al., Numer. Algorithms 85, No. 3, 829--848 (2020; Zbl 1450.65051) Full Text: DOI
Wu, Yufei; Yu, Guan Weighted linear programming discriminant analysis for high-dimensional binary classification. (English) Zbl 07260691 Stat. Anal. Data Min. 13, No. 5, 437-450 (2020). MSC: 62 68 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{G. Yu}, Stat. Anal. Data Min. 13, No. 5, 437--450 (2020; Zbl 07260691) Full Text: DOI
Chan, Raymond H.; Kan, Kelvin K.; Nikolova, Mila; Plemmons, Robert J. A two-stage method for spectral-spatial classification of hyperspectral images. (English) Zbl 07255774 J. Math. Imaging Vis. 62, No. 6-7, 790-807 (2020). MSC: 68 94 PDF BibTeX XML Cite \textit{R. H. Chan} et al., J. Math. Imaging Vis. 62, No. 6--7, 790--807 (2020; Zbl 07255774) Full Text: DOI
Yuan, Xiaoming; Zeng, Shangzhi; Zhang, Jin Discerning the linear convergence of ADMM for structured convex optimization through the lens of variational analysis. (English) Zbl 07255114 J. Mach. Learn. Res. 21, Paper No. 83, 75 p. (2020). MSC: 68T05 PDF BibTeX XML Cite \textit{X. Yuan} et al., J. Mach. Learn. Res. 21, Paper No. 83, 75 p. (2020; Zbl 07255114) Full Text: Link
Breschi, Valentina; Bemporad, Alberto; Kolmanovsky, Ilya V. Cooperative constrained parameter estimation by ADMM-RLS. (English) Zbl 1448.93290 Automatica 121, Article ID 109175, 14 p. (2020). MSC: 93D50 93E24 93C83 93B70 68M11 PDF BibTeX XML Cite \textit{V. Breschi} et al., Automatica 121, Article ID 109175, 14 p. (2020; Zbl 1448.93290) Full Text: DOI
Ma, Feng Convergence study on the proximal alternating direction method with larger step size. (English) Zbl 07250884 Numer. Algorithms 85, No. 2, 399-425 (2020). MSC: 65 65K10 90C25 90C30 PDF BibTeX XML Cite \textit{F. Ma}, Numer. Algorithms 85, No. 2, 399--425 (2020; Zbl 07250884) Full Text: DOI
Bartels, Sören; Milicevic, Marijo Efficient iterative solution of finite element discretized nonsmooth minimization problems. (English) Zbl 1447.65127 Comput. Math. Appl. 80, No. 5, 588-603 (2020). MSC: 65N30 65N22 65K10 65N12 49M37 90C25 PDF BibTeX XML Cite \textit{S. Bartels} and \textit{M. Milicevic}, Comput. Math. Appl. 80, No. 5, 588--603 (2020; Zbl 1447.65127) Full Text: DOI
Pang, Zhi-Feng; Meng, Ge; Li, Hui; Chen, Ke Image restoration via the adaptive \(TV^p\) regularization. (English) Zbl 1446.94012 Comput. Math. Appl. 80, No. 5, 569-587 (2020). MSC: 94A08 65K05 65R32 PDF BibTeX XML Cite \textit{Z.-F. Pang} et al., Comput. Math. Appl. 80, No. 5, 569--587 (2020; Zbl 1446.94012) Full Text: DOI
Boţ, Radu Ioan; Nguyen, Dang-Khoa The proximal alternating direction method of multipliers in the nonconvex setting: convergence analysis and rates. (English) Zbl 07242700 Math. Oper. Res. 45, No. 2, 682-712 (2020). MSC: 47H05 65K05 90C26 PDF BibTeX XML Cite \textit{R. I. Boţ} and \textit{D.-K. Nguyen}, Math. Oper. Res. 45, No. 2, 682--712 (2020; Zbl 07242700) Full Text: DOI
Tao, Min Convergence study of indefinite proximal ADMM with a relaxation factor. (English) Zbl 1447.90033 Comput. Optim. Appl. 77, No. 1, 91-123 (2020). MSC: 90C25 PDF BibTeX XML Cite \textit{M. Tao}, Comput. Optim. Appl. 77, No. 1, 91--123 (2020; Zbl 1447.90033) Full Text: DOI
Jiang, Fan; Wu, Zhongming; Cai, Xingju Generalized ADMM with optimal indefinite proximal term for linearly constrained convex optimization. (English) Zbl 1449.90290 J. Ind. Manag. Optim. 16, No. 2, 835-856 (2020). MSC: 90C25 65K05 49M27 PDF BibTeX XML Cite \textit{F. Jiang} et al., J. Ind. Manag. Optim. 16, No. 2, 835--856 (2020; Zbl 1449.90290) Full Text: DOI
Li, Jingshi; Zhang, Jiachuan; Ju, Guoliang; You, Juntao A multi-mode expansion method for boundary optimal control problems constrained by random Poisson equations. (English) Zbl 07220342 Electron Res. Arch. 28, No. 2, 977-1000 (2020). MSC: 65K10 65C05 65N30 PDF BibTeX XML Cite \textit{J. Li} et al., Electron Res. Arch. 28, No. 2, 977--1000 (2020; Zbl 07220342) Full Text: DOI
Adona, V. A.; Gonçalves, M. L. N.; Melo, J. G. An inexact proximal generalized alternating direction method of multipliers. (English) Zbl 1445.90077 Comput. Optim. Appl. 76, No. 3, 621-647 (2020). MSC: 90C25 90C60 47H05 49M27 65K10 PDF BibTeX XML Cite \textit{V. A. Adona} et al., Comput. Optim. Appl. 76, No. 3, 621--647 (2020; Zbl 1445.90077) Full Text: DOI
Jahan, Sohana Supervised distance preserving projection using alternating direction method of multipliers. (English) Zbl 1449.62135 J. Ind. Manag. Optim. 16, No. 4, 1783-1799 (2020). MSC: 62H30 68T10 90C22 PDF BibTeX XML Cite \textit{S. Jahan}, J. Ind. Manag. Optim. 16, No. 4, 1783--1799 (2020; Zbl 1449.62135) Full Text: DOI
Xiu, Xianchao; Yang, Ying; Liu, Wanquan; Kong, Lingchen; Shang, Meijuan An improved total variation regularized RPCA for moving object detection with dynamic background. (English) Zbl 1449.90295 J. Ind. Manag. Optim. 16, No. 4, 1685-1698 (2020). MSC: 90C25 90C90 65K10 PDF BibTeX XML Cite \textit{X. Xiu} et al., J. Ind. Manag. Optim. 16, No. 4, 1685--1698 (2020; Zbl 1449.90295) Full Text: DOI
Sun, Jie; Xu, Honglei; Zhang, Min A new interpretation of the progressive hedging algorithm for multistage stochastic minimization problems. (English) Zbl 1449.65135 J. Ind. Manag. Optim. 16, No. 4, 1655-1662 (2020). MSC: 65K10 65K15 90C15 PDF BibTeX XML Cite \textit{J. Sun} et al., J. Ind. Manag. Optim. 16, No. 4, 1655--1662 (2020; Zbl 1449.65135) Full Text: DOI
Galvan, G.; Lapucci, M.; Levato, T.; Sciandrone, M. An alternating augmented Lagrangian method for constrained nonconvex optimization. (English) Zbl 1441.49030 Optim. Methods Softw. 35, No. 3, 502-520 (2020). MSC: 49M37 65K05 90C30 49M27 90C26 PDF BibTeX XML Cite \textit{G. Galvan} et al., Optim. Methods Softw. 35, No. 3, 502--520 (2020; Zbl 1441.49030) Full Text: DOI
Lee, Sangwon; Kang, Myungjoo Group sparse representation for restoring blurred images with Cauchy noise. (English) Zbl 07207943 J. Sci. Comput. 83, No. 3, Paper No. 41, 27 p. (2020). MSC: 94A08 65K10 PDF BibTeX XML Cite \textit{S. Lee} and \textit{M. Kang}, J. Sci. Comput. 83, No. 3, Paper No. 41, 27 p. (2020; Zbl 07207943) Full Text: DOI
Liu, Jingjing; Ni, Anqi; Ni, Guoxi A nonconvex \(l_1 (l_1-l_2)\) model for image restoration with impulse noise. (English) Zbl 07198413 J. Comput. Appl. Math. 378, Article ID 112934, 15 p. (2020). MSC: 94A08 42C40 68U10 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Comput. Appl. Math. 378, Article ID 112934, 15 p. (2020; Zbl 07198413) Full Text: DOI
Yang, Xinfeng; Yan, Xiaodong Mechanism and a new algorithm for nonconvex clustering. (English) Zbl 07194309 J. Stat. Comput. Simulation 90, No. 4, 719-746 (2020). MSC: 62H30 PDF BibTeX XML Cite \textit{X. Yang} and \textit{X. Yan}, J. Stat. Comput. Simulation 90, No. 4, 719--746 (2020; Zbl 07194309) Full Text: DOI
Lanza, Alessandro; Pragliola, Monica; Sgallari, Fiorella Residual whiteness principle for parameter-free image restoration. (English) Zbl 07192777 ETNA, Electron. Trans. Numer. Anal. 53, 329-351 (2020). MSC: 94A08 65K10 PDF BibTeX XML Cite \textit{A. Lanza} et al., ETNA, Electron. Trans. Numer. Anal. 53, 329--351 (2020; Zbl 07192777) Full Text: DOI Link
Fung, Samy Wu; Tyrväinen, Sanna; Ruthotto, Lars; Haber, Eldad ADMM-softmax: an ADMM approach for multinomial logistic regression. (English) Zbl 07192774 ETNA, Electron. Trans. Numer. Anal. 52, 214-229 (2020). MSC: 65J22 90C25 49M27 PDF BibTeX XML Cite \textit{S. W. Fung} et al., ETNA, Electron. Trans. Numer. Anal. 52, 214--229 (2020; Zbl 07192774) Full Text: DOI Link
Chen, Jiawei; Wang, Yiyun; He, Hongjin; Lv, Yibing Convergence analysis of positive-indefinite proximal ADMM with a Glowinski’s relaxation factor. (English) Zbl 07191901 Numer. Algorithms 83, No. 4, 1415-1440 (2020). MSC: 65K05 90C25 PDF BibTeX XML Cite \textit{J. Chen} et al., Numer. Algorithms 83, No. 4, 1415--1440 (2020; Zbl 07191901) Full Text: DOI
Wang, Yugang; Huang, Ting-Zhu; Zhao, Xi-Le; Jiang, Tai-Xiang Video deraining via nonlocal low-rank regularization. (English) Zbl 07191006 Appl. Math. Modelling 79, 896-913 (2020). MSC: 68 94 PDF BibTeX XML Cite \textit{Y. Wang} et al., Appl. Math. Modelling 79, 896--913 (2020; Zbl 07191006) Full Text: DOI
Li, Yaguang; Jin, Baisuo Pairwise fusion approach incorporating prior constraint information. (English) Zbl 1441.62181 Commun. Math. Stat. 8, No. 1, 47-62 (2020). Reviewer: Wolfgang Näther (Freiberg) MSC: 62J05 62J07 62F10 62P12 PDF BibTeX XML Cite \textit{Y. Li} and \textit{B. Jin}, Commun. Math. Stat. 8, No. 1, 47--62 (2020; Zbl 1441.62181) Full Text: DOI
Glowinski, Roland; Song, Yongcun; Yuan, Xiaoming An ADMM numerical approach to linear parabolic state constrained optimal control problems. (English) Zbl 1436.49042 Numer. Math. 144, No. 4, 931-966 (2020). MSC: 49N05 49J45 90C25 65K05 PDF BibTeX XML Cite \textit{R. Glowinski} et al., Numer. Math. 144, No. 4, 931--966 (2020; Zbl 1436.49042) Full Text: DOI
Gonçalves, Max L. N.; Melo, Jefferson G.; Monteiro, Renato D. C. On the iteration-complexity of a non-Euclidean hybrid proximal extragradient framework and of a proximal ADMM. (English) Zbl 1433.90203 Optimization 69, No. 4, 847-873 (2020). MSC: 90C60 90C30 90C25 49M27 PDF BibTeX XML Cite \textit{M. L. N. Gonçalves} et al., Optimization 69, No. 4, 847--873 (2020; Zbl 1433.90203) Full Text: DOI
Tu, Kai; Zhang, Haibin; Gao, Huan; Feng, Junkai A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems. (English) Zbl 1448.90088 J. Glob. Optim. 76, No. 4, 665-693 (2020). Reviewer: Ernö Robert Csetnek (Wien) MSC: 90C30 PDF BibTeX XML Cite \textit{K. Tu} et al., J. Glob. Optim. 76, No. 4, 665--693 (2020; Zbl 1448.90088) Full Text: DOI
Nakamura, Kento; Yano, Keisuke; Komaki, Fumiyasu Adjacency-based regularization for partially ranked data with non-ignorable missing. (English) Zbl 07178850 Comput. Stat. Data Anal. 145, Article ID 106905, 15 p. (2020). MSC: 62 PDF BibTeX XML Cite \textit{K. Nakamura} et al., Comput. Stat. Data Anal. 145, Article ID 106905, 15 p. (2020; Zbl 07178850) Full Text: DOI
Tan, Lu; Li, Ling; Liu, Wanquan; Sun, Jie; Zhang, Min A novel Euler’s elastica-based segmentation approach for noisy images using the progressive hedging algorithm. (English) Zbl 07176618 J. Math. Imaging Vis. 62, No. 1, 98-119 (2020). MSC: 94A08 68U10 90C15 PDF BibTeX XML Cite \textit{L. Tan} et al., J. Math. Imaging Vis. 62, No. 1, 98--119 (2020; Zbl 07176618) Full Text: DOI
He, Bingsheng; Ma, Feng; Yuan, Xiaoming Optimally linearizing the alternating direction method of multipliers for convex programming. (English) Zbl 1432.90111 Comput. Optim. Appl. 75, No. 2, 361-388 (2020). MSC: 90C25 65K05 PDF BibTeX XML Cite \textit{B. He} et al., Comput. Optim. Appl. 75, No. 2, 361--388 (2020; Zbl 1432.90111) Full Text: DOI
Ryu, Ernest K.; Ko, Seyoon; Won, Joong-Ho Splitting with near-circulant linear systems: applications to total variation CT and PET. (English) Zbl 1448.92113 SIAM J. Sci. Comput. 42, No. 1, B185-B206 (2020). Reviewer: Fritz Keinert (Ames) MSC: 92C55 90C25 92-08 PDF BibTeX XML Cite \textit{E. K. Ryu} et al., SIAM J. Sci. Comput. 42, No. 1, B185--B206 (2020; Zbl 1448.92113) Full Text: DOI Link Link
Ding, Meng; Huang, Ting-Zhu; Ma, Tian-Hui; Zhao, Xi-Le; Yang, Jing-Hua Cauchy noise removal using group-based low-rank prior. (English) Zbl 1433.94011 Appl. Math. Comput. 372, Article ID 124971, 15 p. (2020). MSC: 94A08 94A12 62H35 68U10 PDF BibTeX XML Cite \textit{M. Ding} et al., Appl. Math. Comput. 372, Article ID 124971, 15 p. (2020; Zbl 1433.94011) Full Text: DOI
Chen, Jingnan; Dai, Gengling; Zhang, Ning An application of sparse-group Lasso regularization to equity portfolio optimization and sector selection. (English) Zbl 1434.62220 Ann. Oper. Res. 284, No. 1, 243-262 (2020). MSC: 62P05 62J07 91G10 PDF BibTeX XML Cite \textit{J. Chen} et al., Ann. Oper. Res. 284, No. 1, 243--262 (2020; Zbl 1434.62220) Full Text: DOI
Li, Shukai; Yang, Lixing; Gao, Ziyou Distributed optimal control for multiple high-speed train movement: an alternating direction method of multipliers. (English) Zbl 1430.93064 Automatica 112, Article ID 108646, 8 p. (2020). MSC: 93B45 49N90 93C95 PDF BibTeX XML Cite \textit{S. Li} et al., Automatica 112, Article ID 108646, 8 p. (2020; Zbl 1430.93064) Full Text: DOI
Yang, Jing-Hua; Zhao, Xi-Le; Ji, Teng-Yu; Ma, Tian-Hui; Huang, Ting-Zhu Low-rank tensor train for tensor robust principal component analysis. (English) Zbl 1433.90118 Appl. Math. Comput. 367, Article ID 124783, 15 p. (2020). MSC: 90C25 65K10 62H25 94A08 PDF BibTeX XML Cite \textit{J.-H. Yang} et al., Appl. Math. Comput. 367, Article ID 124783, 15 p. (2020; Zbl 1433.90118) Full Text: DOI
Jiang, Yaning; Cai, Xingju; Han, Deren Solving policy design problems: alternating direction method of multipliers-based methods for structured inverse variational inequalities. (English) Zbl 1430.90530 Eur. J. Oper. Res. 280, No. 2, 417-427 (2020). MSC: 90C33 90C25 49J40 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Eur. J. Oper. Res. 280, No. 2, 417--427 (2020; Zbl 1430.90530) Full Text: DOI
Yang, Jing-Hua; Zhao, Xi-Le; Ma, Tian-Hui; Chen, Yong; Huang, Ting-Zhu; Ding, Meng Remote sensing images destriping using unidirectional hybrid total variation and nonconvex low-rank regularization. (English) Zbl 1429.94027 J. Comput. Appl. Math. 363, 124-144 (2020). MSC: 94A08 90C26 90C90 PDF BibTeX XML Cite \textit{J.-H. Yang} et al., J. Comput. Appl. Math. 363, 124--144 (2020; Zbl 1429.94027) Full Text: DOI
Gonçalves, M. L. N.; Melo, J. G.; Monteiro, R. D. C. Convergence rate bounds for a proximal ADMM with over-relaxation stepsize parameter for solving nonconvex linearly constrained problems. (English) Zbl 07313234 Pac. J. Optim. 15, No. 3, 379-398 (2019). MSC: 47J22 49M27 90C25 90C26 90C30 90C60 65K10 PDF BibTeX XML Cite \textit{M. L. N. Gonçalves} et al., Pac. J. Optim. 15, No. 3, 379--398 (2019; Zbl 07313234) Full Text: Link
Peng, Zheng A filter alternating direction method of multipliers for finding global minimum of biconvex optimization. (English) Zbl 07313222 Pac. J. Optim. 15, No. 2, 173-194 (2019). MSC: 90C26 90C30 90C46 PDF BibTeX XML Cite \textit{Z. Peng}, Pac. J. Optim. 15, No. 2, 173--194 (2019; Zbl 07313222) Full Text: Link
Li, Xiao; Huang, Jie; Deng, Liang-Jian; Huang, Ting-Zhu Bilateral filter based total variation regularization for sparse hyperspectral image unmixing. (English) Zbl 07306730 Inf. Sci. 504, 334-353 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{X. Li} et al., Inf. Sci. 504, 334--353 (2019; Zbl 07306730) Full Text: DOI
Chen, Liang; Sun, Defeng; Toh, Kim Chuan; Zhang, Ning A unified algorithmic framework of symmetric Gauss-Seidel decomposition based proximal ADMMs for convex composite programming. (English) Zbl 07266711 J. Comput. Math. 37, No. 6, 739-757 (2019). MSC: 90C25 65K05 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Comput. Math. 37, No. 6, 739--757 (2019; Zbl 07266711) Full Text: DOI
Yang, Jing-Hua; Zhao, Xi-Le; Mei, Jin-Jin; Wang, Si; Ma, Tian-Hui; Huang, Ting-Zhu Total variation and high-order total variation adaptive model for restoring blurred images with Cauchy noise. (English) Zbl 1442.94015 Comput. Math. Appl. 77, No. 5, 1255-1272 (2019). MSC: 94A08 65R32 PDF BibTeX XML Cite \textit{J.-H. Yang} et al., Comput. Math. Appl. 77, No. 5, 1255--1272 (2019; Zbl 1442.94015) Full Text: DOI
Feng, Lei; Sun, Huaijiang; Zhu, Jun Robust image compressive sensing based on half-quadratic function and weighted Schatten-\(p\) norm. (English) Zbl 1442.94009 Inf. Sci. 477, 265-280 (2019). MSC: 94A08 62H35 PDF BibTeX XML Cite \textit{L. Feng} et al., Inf. Sci. 477, 265--280 (2019; Zbl 1442.94009) Full Text: DOI
Chen, Caihua Some notes on the divergence example for multi-block alternating direction method of multipliers. (Chinese. English summary) Zbl 1449.90284 Oper. Res. Trans. 23, No. 3, 135-140 (2019). MSC: 90C25 90C30 PDF BibTeX XML Cite \textit{C. Chen}, Oper. Res. Trans. 23, No. 3, 135--140 (2019; Zbl 1449.90284) Full Text: DOI
Li, Hao; Zhang, Juyong Tetrahedral mesh approximation to volume images based on variation. (Chinese. English summary) Zbl 07234306 J. Univ. Sci. Technol. China 49, No. 3, 244-258 (2019). MSC: 94A08 68U10 65J20 PDF BibTeX XML Cite \textit{H. Li} and \textit{J. Zhang}, J. Univ. Sci. Technol. China 49, No. 3, 244--258 (2019; Zbl 07234306) Full Text: DOI
Nguyen, Dinh Hoa \(L_1\) optimization for sparse structure machine learning based electricity demand prediction. (English) Zbl 1447.90065 Fathi, Mahdi (ed.) et al., Optimization in large scale problems. Industry 4.0 and society 5.0 applications. Cham: Springer. Springer Optim. Appl. 152, 305-317 (2019). MSC: 90C30 90C90 PDF BibTeX XML Cite \textit{D. H. Nguyen}, Springer Optim. Appl. 152, 305--317 (2019; Zbl 1447.90065) Full Text: DOI
Chen, Zixuan; Song, Xiaoliang; Zhang, Xuping; Yu, Bo A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem. (English) Zbl 1437.49003 ESAIM, Control Optim. Calc. Var. 25, Paper No. 5, 37 p. (2019). MSC: 49J20 49N05 65G99 68W15 PDF BibTeX XML Cite \textit{Z. Chen} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 5, 37 p. (2019; Zbl 1437.49003) Full Text: DOI
Cheng, Ming-Hui; Huang, Ting-Zhu; Zhao, Xi-Le; Ma, Tian-Hui; Huang, Jie A variational model with hybrid hyper-Laplacian priors for retinex. (English) Zbl 07183383 Appl. Math. Modelling 66, 305-321 (2019). MSC: 94 68 PDF BibTeX XML Cite \textit{M.-H. Cheng} et al., Appl. Math. Modelling 66, 305--321 (2019; Zbl 07183383) Full Text: DOI
Ariafar, Setareh; Coll-Font, Jaume; Brooks, Dana; Dy, Jennifer ADMMBO: Bayesian optimization with unknown constraints using ADMM. (English) Zbl 1441.62075 J. Mach. Learn. Res. 20, Paper No. 123, 26 p. (2019). MSC: 62F15 62D10 90C31 60G15 PDF BibTeX XML Cite \textit{S. Ariafar} et al., J. Mach. Learn. Res. 20, Paper No. 123, 26 p. (2019; Zbl 1441.62075) Full Text: Link
Liu, Zhifang; Wali, Samad; Duan, Yuping; Chang, Huibin; Wu, Chunlin; Tai, Xuecheng Proximal ADMM for Euler’s elastica based image decomposition model. (English) Zbl 1449.94015 Numer. Math., Theory Methods Appl. 12, No. 2, 370-402 (2019). MSC: 94A08 PDF BibTeX XML Cite \textit{Z. Liu} et al., Numer. Math., Theory Methods Appl. 12, No. 2, 370--402 (2019; Zbl 1449.94015) Full Text: DOI
He, Bingsheng On the iterative complexity of the linearized alternating direction method of multipliers. (Chinese. English summary) Zbl 1449.90288 Numer. Math., Nanjing 41, No. 2, 126-149 (2019). MSC: 90C25 90C30 90C33 PDF BibTeX XML Cite \textit{B. He}, Numer. Math., Nanjing 41, No. 2, 126--149 (2019; Zbl 1449.90288)
Taleghani, Rahman; Salahi, Maziar An ADMM-factorization algorithm for low rank matrix completion. (English) Zbl 1433.65112 Appl. Appl. Math. 14, No. 2, 1145-1156 (2019). MSC: 65K05 15A83 15A18 90C25 PDF BibTeX XML Cite \textit{R. Taleghani} and \textit{M. Salahi}, Appl. Appl. Math. 14, No. 2, 1145--1156 (2019; Zbl 1433.65112) Full Text: Link
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 PDF BibTeX XML Cite \textit{Y. Rahimi} et al., SIAM J. Sci. Comput. 41, No. 6, A3649--A3672 (2019; Zbl 1427.94050) Full Text: DOI arXiv
Komeiji, Hikaru; Kim, Sunyoung; Yamashita, Makoto On the conditions for the finite termination of ADMM and its applications to SOS polynomials feasibility problems. (English) Zbl 1425.90076 Comput. Optim. Appl. 74, No. 2, 317-344 (2019). MSC: 90C22 90C25 90C26 PDF BibTeX XML Cite \textit{H. Komeiji} et al., Comput. Optim. Appl. 74, No. 2, 317--344 (2019; Zbl 1425.90076) Full Text: DOI
Fung, Samy Wu; Ruthotto, Lars An uncertainty-weighted asynchronous ADMM method for parallel PDE parameter estimation. (English) Zbl 1428.65067 SIAM J. Sci. Comput. 41, No. 5, S129-S148 (2019). MSC: 65N21 65Y05 35R30 90C06 PDF BibTeX XML Cite \textit{S. W. Fung} and \textit{L. Ruthotto}, SIAM J. Sci. Comput. 41, No. 5, S129--S148 (2019; Zbl 1428.65067) Full Text: DOI arXiv
Chang, Huibin; Enfedaque, Pablo; Marchesini, Stefano Blind ptychographic phase retrieval via convergent alternating direction method of multipliers. (English) Zbl 07115023 SIAM J. Imaging Sci. 12, No. 1, 153-185 (2019). MSC: 46N10 49N30 49N45 65F22 65N21 PDF BibTeX XML Cite \textit{H. Chang} et al., SIAM J. Imaging Sci. 12, No. 1, 153--185 (2019; Zbl 07115023) Full Text: DOI
Li, Yu; Jiang, Yuyan; Zhao, Shuangshuang; Zou, Qiming; Lu, Ke An improved model predictive control based on alternating direction method of multipliers. (Chinese. English summary) Zbl 1438.93065 J. Numer. Methods Comput. Appl. 40, No. 1, 11-20 (2019). MSC: 93B45 93C05 93A15 PDF BibTeX XML Cite \textit{Y. Li} et al., J. Numer. Methods Comput. Appl. 40, No. 1, 11--20 (2019; Zbl 1438.93065)
Zhang, Yanna; Shen, Yuan; Sun, Liming A descent alternating direction method of multipliers with random step size for structured optimization problem. (Chinese. English summary) Zbl 1438.65130 Chin. J. Eng. Math. 36, No. 2, 123-137 (2019). MSC: 65K05 90C30 90C33 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Chin. J. Eng. Math. 36, No. 2, 123--137 (2019; Zbl 1438.65130) Full Text: DOI
Banjac, Goran; Goulart, Paul; Stellato, Bartolomeo; Boyd, Stephen Infeasibility detection in the alternating direction method of multipliers for convex optimization. (English) Zbl 1429.90050 J. Optim. Theory Appl. 183, No. 2, 490-519 (2019). MSC: 90C25 90C20 90C06 90C22 68Q25 PDF BibTeX XML Cite \textit{G. Banjac} et al., J. Optim. Theory Appl. 183, No. 2, 490--519 (2019; Zbl 1429.90050) Full Text: DOI
Sun, Hongpeng Analysis of fully preconditioned alternating direction method of multipliers with relaxation in Hilbert spaces. (English) Zbl 07112083 J. Optim. Theory Appl. 183, No. 1, 199-229 (2019). MSC: 65K10 90C25 65F08 PDF BibTeX XML Cite \textit{H. Sun}, J. Optim. Theory Appl. 183, No. 1, 199--229 (2019; Zbl 07112083) Full Text: DOI
Ansary Karbasy, Saeid; Salahi, Maziar A hybrid algorithm for the two-trust-region subproblem. (English) Zbl 1438.90251 Comput. Appl. Math. 38, No. 3, Paper No. 115, 19 p. (2019). MSC: 90C25 90C22 PDF BibTeX XML Cite \textit{S. Ansary Karbasy} and \textit{M. Salahi}, Comput. Appl. Math. 38, No. 3, Paper No. 115, 19 p. (2019; Zbl 1438.90251) Full Text: DOI arXiv
Lorenz, Dirk A.; Tran-Dinh, Quoc Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive step-sizes and convergence. (English) Zbl 1427.90219 Comput. Optim. Appl. 74, No. 1, 67-92 (2019). MSC: 90C25 65K05 65J15 47H05 PDF BibTeX XML Cite \textit{D. A. Lorenz} and \textit{Q. Tran-Dinh}, Comput. Optim. Appl. 74, No. 1, 67--92 (2019; Zbl 1427.90219) Full Text: DOI arXiv
Adona, Vando A.; Gonçalves, Max L. N.; Melo, Jefferson G. A partially inexact proximal alternating direction method of multipliers and its iteration-complexity analysis. (English) Zbl 07093339 J. Optim. Theory Appl. 182, No. 2, 640-666 (2019). MSC: 47H05 49M27 90C25 90C60 65K10 PDF BibTeX XML Cite \textit{V. A. Adona} et al., J. Optim. Theory Appl. 182, No. 2, 640--666 (2019; Zbl 07093339) Full Text: DOI
Wu, Zhong-Ming; Li, Min An LQP-based symmetric alternating direction method of multipliers with larger step sizes. (English) Zbl 1438.49049 J. Oper. Res. Soc. China 7, No. 2, 365-383 (2019). MSC: 49M27 65K05 90C25 PDF BibTeX XML Cite \textit{Z.-M. Wu} and \textit{M. Li}, J. Oper. Res. Soc. China 7, No. 2, 365--383 (2019; Zbl 1438.49049) Full Text: DOI
Gao, Xiang; Xu, Yang-Yang; Zhang, Shu-Zhong Randomized primal-dual proximal block coordinate updates. (English) Zbl 1438.90255 J. Oper. Res. Soc. China 7, No. 2, 205-250 (2019). MSC: 90C25 68W20 PDF BibTeX XML Cite \textit{X. Gao} et al., J. Oper. Res. Soc. China 7, No. 2, 205--250 (2019; Zbl 1438.90255) Full Text: DOI
Zhang, Xiongjun; Ng, Michael K. A fast algorithm for solving linear inverse problems with uniform noise removal. (English) Zbl 1416.65108 J. Sci. Comput. 79, No. 2, 1214-1240 (2019). MSC: 65F22 94A08 94A12 90C25 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{M. K. Ng}, J. Sci. Comput. 79, No. 2, 1214--1240 (2019; Zbl 1416.65108) Full Text: DOI
Li, Huan; Lin, Zhouchen Accelerated alternating direction method of multipliers: an optimal \(O(1 / K)\) nonergodic analysis. (English) Zbl 1419.90085 J. Sci. Comput. 79, No. 2, 671-699 (2019). MSC: 90C25 65K05 PDF BibTeX XML Cite \textit{H. Li} and \textit{Z. Lin}, J. Sci. Comput. 79, No. 2, 671--699 (2019; Zbl 1419.90085) Full Text: DOI arXiv
Liu, Zhifang; Wu, Chunlin; Zhao, Yanan A new globally convergent algorithm for non-Lipschitz \(\ell_{p}-\ell_q\) minimization. (English) Zbl 1415.49022 Adv. Comput. Math. 45, No. 3, 1369-1399 (2019). MSC: 49M05 49K30 90C26 94A12 90C30 PDF BibTeX XML Cite \textit{Z. Liu} et al., Adv. Comput. Math. 45, No. 3, 1369--1399 (2019; Zbl 1415.49022) Full Text: DOI
Chang, Xiaokai; Liu, Sanyang; Zhao, Pengjun; Song, Dunjiang A generalization of linearized alternating direction method of multipliers for solving two-block separable convex programming. (English) Zbl 1415.65134 J. Comput. Appl. Math. 357, 251-272 (2019). MSC: 65K05 90C25 PDF BibTeX XML Cite \textit{X. Chang} et al., J. Comput. Appl. Math. 357, 251--272 (2019; Zbl 1415.65134) Full Text: DOI
Cai, Xingju; Han, Deren \(O(1/t)\) complexity analysis of the generalized alternating direction method of multipliers. (English) Zbl 1431.65083 Sci. China, Math. 62, No. 4, 795-808 (2019). MSC: 65K05 90C33 PDF BibTeX XML Cite \textit{X. Cai} and \textit{D. Han}, Sci. China, Math. 62, No. 4, 795--808 (2019; Zbl 1431.65083) Full Text: DOI
Wang, Huifang; Kong, Lingchen; Tao, Jiyuan The linearized alternating direction method of multipliers for sparse group LAD model. (English) Zbl 1435.62276 Optim. Lett. 13, No. 3, 505-525 (2019). Reviewer: Nelson I. Tanaka (São Paulo) MSC: 62J07 62J05 62F10 PDF BibTeX XML Cite \textit{H. Wang} et al., Optim. Lett. 13, No. 3, 505--525 (2019; Zbl 1435.62276) Full Text: DOI
Börgens, Eike; Kanzow, Christian Regularized Jacobi-type ADMM-methods for a class of separable convex optimization problems in Hilbert spaces. (English) Zbl 1423.90176 Comput. Optim. Appl. 73, No. 3, 755-790 (2019). MSC: 90C25 90C48 PDF BibTeX XML Cite \textit{E. Börgens} and \textit{C. Kanzow}, Comput. Optim. Appl. 73, No. 3, 755--790 (2019; Zbl 1423.90176) Full Text: DOI
Hager, William W.; Zhang, Hongchao Inexact alternating direction methods of multipliers for separable convex optimization. (English) Zbl 1414.90228 Comput. Optim. Appl. 73, No. 1, 201-235 (2019). MSC: 90C06 90C25 65Y20 PDF BibTeX XML Cite \textit{W. W. Hager} and \textit{H. Zhang}, Comput. Optim. Appl. 73, No. 1, 201--235 (2019; Zbl 1414.90228) Full Text: DOI
Xiu, Xianchao; Liu, Wanquan; Li, Ling; Kong, Lingchen Alternating direction method of multipliers for nonconvex fused regression problems. (English) Zbl 07058782 Comput. Stat. Data Anal. 136, 59-71 (2019). MSC: 62 PDF BibTeX XML Cite \textit{X. Xiu} et al., Comput. Stat. Data Anal. 136, 59--71 (2019; Zbl 07058782) Full Text: DOI
Adona, V. A.; Gonçalves, M. L. N.; Melo, J. G. Iteration-complexity analysis of a generalized alternating direction method of multipliers. (English) Zbl 07052832 J. Glob. Optim. 73, No. 2, 331-348 (2019). MSC: 47H05 49M27 90C25 90C60 65K10 PDF BibTeX XML Cite \textit{V. A. Adona} et al., J. Glob. Optim. 73, No. 2, 331--348 (2019; Zbl 07052832) Full Text: DOI
Jiang, Bo; Lin, Tianyi; Ma, Shiqian; Zhang, Shuzhong Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis. (English) Zbl 1411.90274 Comput. Optim. Appl. 72, No. 1, 115-157 (2019). MSC: 90C26 90C06 90C60 PDF BibTeX XML Cite \textit{B. Jiang} et al., Comput. Optim. Appl. 72, No. 1, 115--157 (2019; Zbl 1411.90274) Full Text: DOI arXiv
Wang, Yu; Yin, Wotao; Zeng, Jinshan Global convergence of ADMM in nonconvex nonsmooth optimization. (English) Zbl 07042437 J. Sci. Comput. 78, No. 1, 29-63 (2019). Reviewer: Aris Daniilidis (Santiago) MSC: 65K05 90C26 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Sci. Comput. 78, No. 1, 29--63 (2019; Zbl 07042437) Full Text: DOI arXiv
Tian, Wenyi; Yuan, Xiaoming An alternating direction method of multipliers with a worst-case \(O(1/n^2)\) convergence rate. (English) Zbl 1414.90272 Math. Comput. 88, No. 318, 1685-1713 (2019). MSC: 90C25 65K10 PDF BibTeX XML Cite \textit{W. Tian} and \textit{X. Yuan}, Math. Comput. 88, No. 318, 1685--1713 (2019; Zbl 1414.90272) Full Text: DOI
Song, Liqiang; Yang, Wei Hong A block Lanczos method for the extended trust-region subproblem. (English) Zbl 1412.90102 SIAM J. Optim. 29, No. 1, 571-594 (2019). MSC: 90C20 90C26 90C30 65K05 PDF BibTeX XML Cite \textit{L. Song} and \textit{W. H. Yang}, SIAM J. Optim. 29, No. 1, 571--594 (2019; Zbl 1412.90102) Full Text: DOI