Pham, Tan Nhat; Dao, Minh N.; Shah, Rakibuzzaman; Sultanova, Nargiz; Li, Guoyin; Islam, Syed A proximal subgradient algorithm with extrapolation for structured nonconvex nonsmooth problems. (English) Zbl 07780865 Numer. Algorithms 94, No. 4, 1763-1795 (2023). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65K10 90C26 49M27 65K05 PDFBibTeX XMLCite \textit{T. N. Pham} et al., Numer. Algorithms 94, No. 4, 1763--1795 (2023; Zbl 07780865) Full Text: DOI arXiv OA License
Yang, Yijie; Li, Yutong; Wu, Chunlin; Duan, Yuping A convergent iterative support shrinking algorithm for non-Lipschitz multi-phase image labeling model. (English) Zbl 07708324 J. Sci. Comput. 96, No. 2, Paper No. 47, 29 p. (2023). MSC: 68U10 94A08 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Sci. Comput. 96, No. 2, Paper No. 47, 29 p. (2023; Zbl 07708324) Full Text: DOI
Zhang, Benxin; Zhu, Guopu; Zhu, Zhibin; Kwong, Sam Alternating direction method of multipliers for nonconvex log total variation image restoration. (English) Zbl 1510.94032 Appl. Math. Modelling 114, 338-359 (2023). MSC: 94A08 90C90 PDFBibTeX XMLCite \textit{B. Zhang} et al., Appl. Math. Modelling 114, 338--359 (2023; Zbl 1510.94032) Full Text: DOI
Wang, Weina; Tian, Nannan; Wu, Chunlin Two-phase image segmentation by nonconvex nonsmooth models with convergent alternating minimization algorithms. (English) Zbl 1524.94033 J. Comput. Math. 41, No. 4, 564-598 (2023). MSC: 94A08 90C25 68U10 47A52 65K10 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Comput. Math. 41, No. 4, 564--598 (2023; Zbl 1524.94033) Full Text: DOI
Antil, Harbir; Wachsmuth, Daniel Sparse optimization problems in fractional order Sobolev spaces. (English) Zbl 1510.35352 Inverse Probl. 39, No. 4, Article ID 044001, 17 p. (2023); corrigendum ibid. 40, No. 3, Article ID 039501, 3 p. (2024). MSC: 35Q93 49K20 49J30 26A33 35R11 PDFBibTeX XMLCite \textit{H. Antil} and \textit{D. Wachsmuth}, Inverse Probl. 39, No. 4, Article ID 044001, 17 p. (2023; Zbl 1510.35352) Full Text: DOI arXiv
Zeng, Chao Proximal linearization methods for Schatten \(p\)-quasi-norm minimization. (English) Zbl 1510.65087 Numer. Math. 153, No. 1, 213-248 (2023). MSC: 65F55 65K10 15A60 90C26 90C30 PDFBibTeX XMLCite \textit{C. Zeng}, Numer. Math. 153, No. 1, 213--248 (2023; Zbl 1510.65087) Full Text: DOI
Chen, Yunmei; Liu, Hongcheng; Wang, Weina Extrapolated smoothing descent algorithm for constrained nonconvex and nonsmooth composite problems. (English) Zbl 1511.65047 Chin. Ann. Math., Ser. B 43, No. 6, 1049-1070 (2022). MSC: 65K05 94A08 90C26 PDFBibTeX XMLCite \textit{Y. Chen} et al., Chin. Ann. Math., Ser. B 43, No. 6, 1049--1070 (2022; Zbl 1511.65047) Full Text: DOI
Wu, Chunlin; Guo, Xueyan; Gao, Yiming; Xue, Yunhua A general non-Lipschitz infimal convolution regularized model: Lower bound theory and algorithm. (English) Zbl 1519.49011 SIAM J. Imaging Sci. 15, No. 3, 1499-1538 (2022). MSC: 49J45 65D18 90C26 94A08 68U10 PDFBibTeX XMLCite \textit{C. Wu} et al., SIAM J. Imaging Sci. 15, No. 3, 1499--1538 (2022; Zbl 1519.49011) Full Text: DOI
Mukkamala, Mahesh Chandra; Fadili, Jalal; Ochs, Peter Global convergence of model function based Bregman proximal minimization algorithms. (English) Zbl 1495.90144 J. Glob. Optim. 83, No. 4, 753-781 (2022). MSC: 90C26 PDFBibTeX XMLCite \textit{M. C. Mukkamala} et al., J. Glob. Optim. 83, No. 4, 753--781 (2022; Zbl 1495.90144) Full Text: DOI arXiv
Oussaid, Nouhayla Ait; Akhlil, Khalid; Ben Aadi, Sultana; El Ouali, Mourad; Srivastav, Anand Hemivariational inequalities on graphs. (English) Zbl 1499.49044 Comput. Appl. Math. 41, No. 4, Paper No. 175, 23 p. (2022). MSC: 49J40 90C33 49J52 49J53 05C63 35J60 35K55 90C35 PDFBibTeX XMLCite \textit{N. A. Oussaid} et al., Comput. Appl. Math. 41, No. 4, Paper No. 175, 23 p. (2022; Zbl 1499.49044) Full Text: DOI arXiv
Meng, Junying; Wang, Faqiang; Cui, Li; Liu, Jun The lower bound of nonlocal gradient for non-convex and non-smooth image patches based regularization. (English) Zbl 1487.65141 Inverse Probl. 38, No. 3, Article ID 035010, 28 p. (2022). MSC: 65M32 65M30 65K10 35B65 60H40 90C26 35R60 35R30 PDFBibTeX XMLCite \textit{J. Meng} et al., Inverse Probl. 38, No. 3, Article ID 035010, 28 p. (2022; Zbl 1487.65141) Full Text: DOI
Zhao, Yanan; Wu, Chunlin; Dong, Qiaoli; Zhao, Yufei An accelerated majorization-minimization algorithm with convergence guarantee for non-Lipschitz wavelet synthesis model. (English) Zbl 1483.90125 Inverse Probl. 38, No. 1, Article ID 015001, 37 p. (2022). MSC: 90C26 90C90 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Inverse Probl. 38, No. 1, Article ID 015001, 37 p. (2022; Zbl 1483.90125) Full Text: DOI
Wang, Weina; Chen, Yunmei An accelerated smoothing gradient method for nonconvex nonsmooth minimization in image processing. (English) Zbl 1483.65102 J. Sci. Comput. 90, No. 1, Paper No. 31, 28 p. (2022). MSC: 65K05 65F22 94A08 90C26 PDFBibTeX XMLCite \textit{W. Wang} and \textit{Y. Chen}, J. Sci. Comput. 90, No. 1, Paper No. 31, 28 p. (2022; Zbl 1483.65102) Full Text: DOI
Natemeyer, Carolin; Wachsmuth, Daniel A proximal gradient method for control problems with non-smooth and non-convex control cost. (English) Zbl 1482.49005 Comput. Optim. Appl. 80, No. 2, 639-677 (2021). Reviewer: Alberto Maione (Freiburg im Breisgau) MSC: 49J27 49J52 49K27 49M37 PDFBibTeX XMLCite \textit{C. Natemeyer} and \textit{D. Wachsmuth}, Comput. Optim. Appl. 80, No. 2, 639--677 (2021; Zbl 1482.49005) Full Text: DOI arXiv
Guo, Xueyan; Xue, Yunhua; Wu, Chunlin Effective two-stage image segmentation: a new non-Lipschitz decomposition approach with convergent algorithm. (English) Zbl 1516.68112 J. Math. Imaging Vis. 63, No. 3, 356-379 (2021). MSC: 68U10 65K10 94A08 PDFBibTeX XMLCite \textit{X. Guo} et al., J. Math. Imaging Vis. 63, No. 3, 356--379 (2021; Zbl 1516.68112) Full Text: DOI arXiv
Mukkamala, Mahesh Chandra; Ochs, Peter; Pock, Thomas; Sabach, Shoham Convex-concave backtracking for inertial Bregman proximal gradient algorithms in nonconvex optimization. (English) Zbl 1486.90147 SIAM J. Math. Data Sci. 2, No. 3, 658-682 (2020). MSC: 90C25 26B25 49M27 52A41 65K05 PDFBibTeX XMLCite \textit{M. C. Mukkamala} et al., SIAM J. Math. Data Sci. 2, No. 3, 658--682 (2020; Zbl 1486.90147) Full Text: DOI arXiv
Gao, Yiming; Wu, Chunlin On a general smoothly truncated regularization for variational piecewise constant image restoration: construction and convergent algorithms. (English) Zbl 1471.94001 Inverse Probl. 36, No. 4, Article ID 045007, 33 p. (2020). MSC: 94A08 65K10 65J22 49N60 49N45 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{C. Wu}, Inverse Probl. 36, No. 4, Article ID 045007, 33 p. (2020; Zbl 1471.94001) Full Text: DOI
Zheng, Zhe; Ng, Michael; Wu, Chunlin A globally convergent algorithm for a class of gradient compounded non-Lipschitz models applied to non-additive noise removal. (English) Zbl 1461.94030 Inverse Probl. 36, No. 12, Article ID 125017, 29 p. (2020). MSC: 94A08 65R32 PDFBibTeX XMLCite \textit{Z. Zheng} et al., Inverse Probl. 36, No. 12, Article ID 125017, 29 p. (2020; Zbl 1461.94030) Full Text: DOI
Lazarus, Carole; März, Maximilian; Weiss, Pierre Correcting the side effects of ADC filtering in MR image reconstruction. (English) Zbl 1485.94041 J. Math. Imaging Vis. 62, No. 6-7, 1034-1047 (2020). MSC: 94A20 94A08 93E11 PDFBibTeX XMLCite \textit{C. Lazarus} et al., J. Math. Imaging Vis. 62, No. 6--7, 1034--1047 (2020; Zbl 1485.94041) Full Text: DOI HAL
Soubies, Emmanuel; Blanc-Féraud, Laure; Aubert, Gilles New insights on the optimality conditions of the \(\ell_2-\ell_0\) minimization problem. (English) Zbl 1486.90158 J. Math. Imaging Vis. 62, No. 6-7, 808-824 (2020). MSC: 90C26 90C46 PDFBibTeX XMLCite \textit{E. Soubies} et al., J. Math. Imaging Vis. 62, No. 6--7, 808--824 (2020; Zbl 1486.90158) Full Text: DOI
Wang, Weina; Wu, Chunlin; Gao, Yiming A nonconvex truncated regularization and box-constrained model for CT reconstruction. (English) Zbl 1460.92114 Inverse Probl. Imaging 14, No. 5, 867-890 (2020). Reviewer: Witold Pedrycz (Edmonton) MSC: 92C55 90C26 PDFBibTeX XMLCite \textit{W. Wang} et al., Inverse Probl. Imaging 14, No. 5, 867--890 (2020; Zbl 1460.92114) Full Text: DOI
Wang, Weina; Wu, Chunlin; Tai, Xue-Cheng A globally convergent algorithm for a constrained non-Lipschitz image restoration model. (English) Zbl 1455.94037 J. Sci. Comput. 83, No. 1, Paper No. 14, 29 p. (2020). MSC: 94A08 90C26 94A12 PDFBibTeX XMLCite \textit{W. Wang} et al., J. Sci. Comput. 83, No. 1, Paper No. 14, 29 p. (2020; Zbl 1455.94037) Full Text: DOI
Li, Chunyan; Ren, Zemin; Tang, Liming Multiplicative noise removal via using nonconvex regularizers based on total variation and wavelet frame. (English) Zbl 1493.94007 J. Comput. Appl. Math. 370, Article ID 112684, 20 p. (2020). MSC: 94A12 42C40 65K10 PDFBibTeX XMLCite \textit{C. Li} et al., J. Comput. Appl. Math. 370, Article ID 112684, 20 p. (2020; Zbl 1493.94007) Full Text: DOI
Zeng, Chao; Wu, Chunlin; Jia, Rui Non-Lipschitz models for image restoration with impulse noise removal. (English) Zbl 1426.49037 SIAM J. Imaging Sci. 12, No. 1, 420-458 (2019). MSC: 49N25 49K30 90C26 94A08 94A12 PDFBibTeX XMLCite \textit{C. Zeng} et al., SIAM J. Imaging Sci. 12, No. 1, 420--458 (2019; Zbl 1426.49037) Full Text: DOI
Zeng, Chao; Wu, Chunlin On the discontinuity of images recovered by noncovex nonsmooth regularized isotropic models with box constraints. (English) Zbl 1415.49018 Adv. Comput. Math. 45, No. 2, 589-610 (2019). MSC: 49K30 49N45 49N60 90C26 94A08 94A12 PDFBibTeX XMLCite \textit{C. Zeng} and \textit{C. Wu}, Adv. Comput. Math. 45, No. 2, 589--610 (2019; Zbl 1415.49018) Full Text: DOI
You, Juntao; Jiao, Yuling; Lu, Xiliang; Zeng, Tieyong A nonconvex model with minimax concave penalty for image restoration. (English) Zbl 1419.94014 J. Sci. Comput. 78, No. 2, 1063-1086 (2019). Reviewer: Oleksandr Kukush (Kyïv) MSC: 94A08 65K05 90C26 PDFBibTeX XMLCite \textit{J. You} et al., J. Sci. Comput. 78, No. 2, 1063--1086 (2019; Zbl 1419.94014) Full Text: DOI
Zeng, Chao; Jia, Rui; Wu, Chunlin An iterative support shrinking algorithm for non-Lipschitz optimization in image restoration. (English) Zbl 1487.94034 J. Math. Imaging Vis. 61, No. 1, 122-139 (2019). MSC: 94A08 90C90 PDFBibTeX XMLCite \textit{C. Zeng} et al., J. Math. Imaging Vis. 61, No. 1, 122--139 (2019; Zbl 1487.94034) Full Text: DOI
Jing, Bingyi; Yang, Guangren; Yu, Xianshi; Zhang, Cunhui Fused-MCP with application to signal processing. (English) Zbl 07498998 J. Comput. Graph. Stat. 27, No. 4, 872-886 (2018). MSC: 62-XX PDFBibTeX XMLCite \textit{B. Jing} et al., J. Comput. Graph. Stat. 27, No. 4, 872--886 (2018; Zbl 07498998) Full Text: DOI
Wu, Chunlin; Liu, Zhifang; Wen, Shuang A general truncated regularization framework for contrast-preserving variational signal and image restoration: motivation and implementation. (English) Zbl 1411.94011 Sci. China, Math. 61, No. 9, 1711-1732 (2018). MSC: 94A08 49N45 49N60 PDFBibTeX XMLCite \textit{C. Wu} et al., Sci. China, Math. 61, No. 9, 1711--1732 (2018; Zbl 1411.94011) Full Text: DOI arXiv
Chen, Xiaojun; Womersley, Robert S. Spherical designs and nonconvex minimization for recovery of sparse signals on the sphere. (English) Zbl 1401.90167 SIAM J. Imaging Sci. 11, No. 2, 1390-1415 (2018). MSC: 90C26 90C90 65D32 PDFBibTeX XMLCite \textit{X. Chen} and \textit{R. S. Womersley}, SIAM J. Imaging Sci. 11, No. 2, 1390--1415 (2018; Zbl 1401.90167) Full Text: DOI
Feng, Xue; Wu, Chunlin; Zeng, Chao On the local and global minimizers of \(\ell_0\) gradient regularized model with box constraints for image restoration. (English) Zbl 1397.49021 Inverse Probl. 34, No. 9, Article ID 095007, 34 p. (2018). MSC: 49J52 68U10 94A08 PDFBibTeX XMLCite \textit{X. Feng} et al., Inverse Probl. 34, No. 9, Article ID 095007, 34 p. (2018; Zbl 1397.49021) Full Text: DOI
Zeng, Chao; Wu, Chunlin On the edge recovery property of nonconvex nonsmooth regularization in image restoration. (English) Zbl 1391.49050 SIAM J. Numer. Anal. 56, No. 2, 1168-1182 (2018). MSC: 49K30 49N45 49N60 90C26 94A08 94A12 49J52 PDFBibTeX XMLCite \textit{C. Zeng} and \textit{C. Wu}, SIAM J. Numer. Anal. 56, No. 2, 1168--1182 (2018; Zbl 1391.49050) Full Text: DOI
Candela, V.; Falcó, A.; Romero, Pantaleón D. A general framework for a class of non-linear approximations with applications to image restoration. (English) Zbl 1377.49034 J. Comput. Appl. Math. 330, 982-994 (2018). MSC: 49M37 68W25 68U10 PDFBibTeX XMLCite \textit{V. Candela} et al., J. Comput. Appl. Math. 330, 982--994 (2018; Zbl 1377.49034) Full Text: DOI Link
Gong, Maoguo; Jiang, Xiangming; Li, Hao Optimization methods for regularization-based ill-posed problems: a survey and a multi-objective framework. (English) Zbl 1405.94024 Front. Comput. Sci. 11, No. 3, 362-391 (2017). MSC: 94A12 90C29 90C59 PDFBibTeX XMLCite \textit{M. Gong} et al., Front. Comput. Sci. 11, No. 3, 362--391 (2017; Zbl 1405.94024) Full Text: DOI
Le Thi, Hoai An; Pham Dinh, Tao Difference of convex functions algorithms (DCA) for image restoration via a Markov random field model. (English) Zbl 1390.90624 Optim. Eng. 18, No. 4, 873-906 (2017). MSC: 90C90 90C26 62M40 94A13 65K05 PDFBibTeX XMLCite \textit{H. A. Le Thi} and \textit{T. Pham Dinh}, Optim. Eng. 18, No. 4, 873--906 (2017; Zbl 1390.90624) Full Text: DOI
Boccuto, Antonio; Gerace, Ivan; Martinelli, Francesca Half-quadratic image restoration with a non-parallelism constraint. (English) Zbl 1426.68279 J. Math. Imaging Vis. 59, No. 2, 270-295 (2017). MSC: 68U10 94A08 PDFBibTeX XMLCite \textit{A. Boccuto} et al., J. Math. Imaging Vis. 59, No. 2, 270--295 (2017; Zbl 1426.68279) Full Text: DOI
Lanza, Alessandro; Morigi, Serena; Sgallari, Fiorella Convex image denoising via non-convex regularization with parameter selection. (English) Zbl 1391.94088 J. Math. Imaging Vis. 56, No. 2, 195-220 (2016). MSC: 94A08 PDFBibTeX XMLCite \textit{A. Lanza} et al., J. Math. Imaging Vis. 56, No. 2, 195--220 (2016; Zbl 1391.94088) Full Text: DOI Link
Mederos, Boris; Mollineda, Ramón A.; Camarena, Julián Antolín Reconstruction of noisy signals by minimization of non-convex functionals. (English) Zbl 1343.49025 Nonlinear Anal., Real World Appl. 32, 355-376 (2016). MSC: 49J45 94A08 68U10 PDFBibTeX XMLCite \textit{B. Mederos} et al., Nonlinear Anal., Real World Appl. 32, 355--376 (2016; Zbl 1343.49025) Full Text: DOI Link
Zhao, Jian-Xun A simple and feasible method for a class of large-scale \(l^1\)-problems. (English) Zbl 1443.49038 Comput. Math. Appl. 70, No. 5, 883-895 (2015). MSC: 49M25 65N06 65N22 PDFBibTeX XMLCite \textit{J.-X. Zhao}, Comput. Math. Appl. 70, No. 5, 883--895 (2015; Zbl 1443.49038) Full Text: DOI
Nikolova, Mila Energy minimization methods. 2nd edition. (English) Zbl 1331.65089 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 157-204 (2015). MSC: 65K10 94A08 PDFBibTeX XMLCite \textit{M. Nikolova}, in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 157--204 (2015; Zbl 1331.65089) Full Text: DOI Link
Wang, Heng; Li, Dong-Hui; Zhang, Xiong-Ji; Wu, Lei Optimality conditions for the constrained \(L_p\)-regularization. (English) Zbl 1332.65079 Optimization 64, No. 10, 2183-2197 (2015). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C26 90C30 PDFBibTeX XMLCite \textit{H. Wang} et al., Optimization 64, No. 10, 2183--2197 (2015; Zbl 1332.65079) Full Text: DOI
Bian, Wei; Chen, Xiaojun Linearly constrained non-Lipschitz optimization for image restoration. (English) Zbl 1327.90299 SIAM J. Imaging Sci. 8, No. 4, 2294-2322 (2015). MSC: 90C30 90C26 65K05 49M37 PDFBibTeX XMLCite \textit{W. Bian} and \textit{X. Chen}, SIAM J. Imaging Sci. 8, No. 4, 2294--2322 (2015; Zbl 1327.90299) Full Text: DOI
Robini, Marc C.; Zhu, Yuemin Generic half-quadratic optimization for image reconstruction. (English) Zbl 1326.49058 SIAM J. Imaging Sci. 8, No. 3, 1752-1797 (2015). MSC: 49N45 49M37 49M30 90C26 90C30 65K05 65K10 65F22 94A08 68U10 68W40 PDFBibTeX XMLCite \textit{M. C. Robini} and \textit{Y. Zhu}, SIAM J. Imaging Sci. 8, No. 3, 1752--1797 (2015; Zbl 1326.49058) Full Text: DOI Link
Soubies, Emmanuel; Blanc-Féraud, Laure; Aubert, Gilles A continuous exact \(\ell_0\) penalty (CEL0) for least squares regularized problem. (English) Zbl 1325.65086 SIAM J. Imaging Sci. 8, No. 3, 1607-1639 (2015). MSC: 65K05 90C26 90C55 PDFBibTeX XMLCite \textit{E. Soubies} et al., SIAM J. Imaging Sci. 8, No. 3, 1607--1639 (2015; Zbl 1325.65086) Full Text: DOI
Jung, Miyoun; Kang, Myungjoo Efficient nonsmooth nonconvex optimization for image restoration and segmentation. (English) Zbl 1320.65035 J. Sci. Comput. 62, No. 2, 336-370 (2015). MSC: 65D18 94A08 65K10 49J20 49M37 PDFBibTeX XMLCite \textit{M. Jung} and \textit{M. Kang}, J. Sci. Comput. 62, No. 2, 336--370 (2015; Zbl 1320.65035) Full Text: DOI
Bredies, Kristian; Lorenz, Dirk A.; Reiterer, Stefan Minimization of non-smooth, non-convex functionals by iterative thresholding. (English) Zbl 1321.49048 J. Optim. Theory Appl. 165, No. 1, 78-112 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 49M30 49J52 65K10 PDFBibTeX XMLCite \textit{K. Bredies} et al., J. Optim. Theory Appl. 165, No. 1, 78--112 (2015; Zbl 1321.49048) Full Text: DOI
Li, Dong-Hui; Wu, Lei; Sun, Zhe; Zhang, Xiong-Ji A constrained optimization reformulation and a feasible descent direction method for \(L_{1/2}\) regularization. (English) Zbl 1325.90089 Comput. Optim. Appl. 59, No. 1-2, 263-284 (2014). MSC: 90C30 PDFBibTeX XMLCite \textit{D.-H. Li} et al., Comput. Optim. Appl. 59, No. 1--2, 263--284 (2014; Zbl 1325.90089) Full Text: DOI
Chen, Xiaojun; Zhou, Weijun Convergence of the reweighted \(\ell_1\) minimization algorithm for \(\ell_2-\ell_p\) minimization. (English) Zbl 1326.90062 Comput. Optim. Appl. 59, No. 1-2, 47-61 (2014). MSC: 90C26 PDFBibTeX XMLCite \textit{X. Chen} and \textit{W. Zhou}, Comput. Optim. Appl. 59, No. 1--2, 47--61 (2014; Zbl 1326.90062) Full Text: DOI
Hintermüller, Michael; Wu, Tao A superlinearly convergent \(R\)-regularized Newton scheme for variational models with concave sparsity-promoting priors. (English) Zbl 1286.90116 Comput. Optim. Appl. 57, No. 1, 1-25 (2014). MSC: 90C26 90C53 PDFBibTeX XMLCite \textit{M. Hintermüller} and \textit{T. Wu}, Comput. Optim. Appl. 57, No. 1, 1--25 (2014; Zbl 1286.90116) Full Text: DOI
Wang, Xu-dong; Feng, Xiang-chu; Wang, Wei-wei; Zhang, Wen-juan Iterative reweighted total generalized variation based Poisson noise removal model. (English) Zbl 1329.94016 Appl. Math. Comput. 223, 264-277 (2013). MSC: 94A08 PDFBibTeX XMLCite \textit{X.-d. Wang} et al., Appl. Math. Comput. 223, 264--277 (2013; Zbl 1329.94016) Full Text: DOI
Chen, Michael Martin Xiaojun Smoothing methods for nonsmooth, nonconvex minimization. (English) Zbl 1266.90145 Math. Program. 134, No. 1 (B), 71-99 (2012). Reviewer: Karel Zimmermann (Praha) MSC: 90C26 90C30 49M37 65K10 PDFBibTeX XMLCite \textit{M. M. X. Chen}, Math. Program. 134, No. 1 (B), 71--99 (2012; Zbl 1266.90145) Full Text: DOI
Han, Yu; Wang, Wei-Wei; Feng, Xiang-Chu A new fast multiphase image segmentation algorithm based on nonconvex regularizer. (English) Zbl 1225.68260 Pattern Recognition 45, No. 1, 363-372 (2012). MSC: 68T45 68U10 PDFBibTeX XMLCite \textit{Y. Han} et al., Pattern Recognition 45, No. 1, 363--372 (2012; Zbl 1225.68260) Full Text: DOI
Antoniadis, Anestis; Gijbels, Irène; Nikolova, Mila Penalized likelihood regression for generalized linear models with non-quadratic penalties. (English) Zbl 1333.62113 Ann. Inst. Stat. Math. 63, No. 3, 585-615 (2011). MSC: 62G08 62J07 62J12 62P10 PDFBibTeX XMLCite \textit{A. Antoniadis} et al., Ann. Inst. Stat. Math. 63, No. 3, 585--615 (2011; Zbl 1333.62113) Full Text: DOI
Pizarro, Luis; Mrázek, Pavel; Didas, Stephan; Grewenig, Sven; Weickert, Joachim Generalised nonlocal image smoothing. (English) Zbl 1477.94020 Int. J. Comput. Vis. 90, No. 1, 62-87 (2010). MSC: 94A08 PDFBibTeX XMLCite \textit{L. Pizarro} et al., Int. J. Comput. Vis. 90, No. 1, 62--87 (2010; Zbl 1477.94020) Full Text: DOI
Durand, Sylvain; Fadili, Jalal; Nikolova, Mila Multiplicative noise removal using L1 fidelity on frame coefficients. (English) Zbl 1523.94007 J. Math. Imaging Vis. 36, No. 3, 201-226 (2010). MSC: 94A08 49J52 65K10 65T60 PDFBibTeX XMLCite \textit{S. Durand} et al., J. Math. Imaging Vis. 36, No. 3, 201--226 (2010; Zbl 1523.94007) Full Text: DOI arXiv
Darbon, Jérôme Global optimization for first order Markov random fields with submodular priors. (English) Zbl 1230.68210 Discrete Appl. Math. 157, No. 16, 3412-3423 (2009). MSC: 68U10 68T45 90C35 90C57 PDFBibTeX XMLCite \textit{J. Darbon}, Discrete Appl. Math. 157, No. 16, 3412--3423 (2009; Zbl 1230.68210) Full Text: DOI
Stadler, Georg Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices. (English) Zbl 1185.49031 Comput. Optim. Appl. 44, No. 2, 159-181 (2009). MSC: 49M15 49N60 PDFBibTeX XMLCite \textit{G. Stadler}, Comput. Optim. Appl. 44, No. 2, 159--181 (2009; Zbl 1185.49031) Full Text: DOI
Lazzaro, D.; Montefusco, L. B. Edge-preserving wavelet thresholding for image denoising. (English) Zbl 1145.68048 J. Comput. Appl. Math. 210, No. 1-2, 222-231 (2007). Reviewer: Zygmunt Hasiewicz (Wrocław) MSC: 68U10 65T60 65D18 94A08 62J07 PDFBibTeX XMLCite \textit{D. Lazzaro} and \textit{L. B. Montefusco}, J. Comput. Appl. Math. 210, No. 1--2, 222--231 (2007; Zbl 1145.68048) Full Text: DOI
Bauer, F.; Munk, A. Optimal regularization for ill-posed problems in metric spaces. (English) Zbl 1132.65046 J. Inverse Ill-Posed Probl. 15, No. 2, 137-148 (2007). Reviewer: Bernd Hofmann (Chemnitz) MSC: 65J10 47A52 65J22 PDFBibTeX XMLCite \textit{F. Bauer} and \textit{A. Munk}, J. Inverse Ill-Posed Probl. 15, No. 2, 137--148 (2007; Zbl 1132.65046) Full Text: DOI