A Nonconvex Model with Minimax Concave Penalty for Image Restoration

Alternating Direction Method of Multipliers for a Class of Nonconvex and Nonsmooth Problems with Applications to Background/Foreground Extraction

(2017) Lei Yang et al.   SIAM Journal on Imaging Sciences

Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems

(2016) Mingyi Hong et al.   SIAM JOURNAL ON OPTIMIZATION

On the Global and Linear Convergence of the Generalized Alternating Direction Method of Multipliers

(2015) Wei Deng et al.   JOURNAL OF SCIENTIFIC COMPUTING

A Weighted Difference of Anisotropic and Isotropic Total Variation Model for Image Processing

(2015) Yifei Lou et al.   SIAM Journal on Imaging Sciences

Proximal alternating linearized minimization for nonconvex and nonsmooth problems

(2013) Jérôme Bolte et al.   MATHEMATICAL PROGRAMMING

A Majorize-Minimize Subspace Approach for $\ell_2-\ell_0$ Image Regularization

(2013) Emilie Chouzenoux et al.   SIAM Journal on Imaging Sciences

A Two-Stage Image Segmentation Method Using a Convex Variant of the Mumford--Shah Model and Thresholding

(2013) Xiaohao Cai et al.   SIAM Journal on Imaging Sciences

Image denoising and deblurring: non-convex regularization, inverse diffusion and shock filter

(2011) ShuJun Fu et al.   Science China-Information Sciences

Nearly unbiased variable selection under minimax concave penalty

(2010) Cun-Hui Zhang   ANNALS OF STATISTICS

Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

(2010) Hédy Attouch et al.   MATHEMATICS OF OPERATIONS RESEARCH

Deblurring Poissonian images by split Bregman techniques

(2009) S. Setzer et al.   JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION

Split Bregman Methods and Frame Based Image Restoration

(2009) Jian-Feng Cai et al.   MULTISCALE MODELING & SIMULATION

The Split Bregman Method for L1-Regularized Problems

(2009) Tom Goldstein et al.   SIAM Journal on Imaging Sciences

Convergence analysis of tight framelet approach for missing data recovery

(2008) Jian-Feng Cai et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

The sparsity and bias of the Lasso selection in high-dimensional linear regression

(2008) Cun-Hui Zhang et al.   ANNALS OF STATISTICS

One-step sparse estimates in nonconcave penalized likelihood models

(2008) Hui Zou et al.   ANNALS OF STATISTICS

Efficient Reconstruction of Piecewise Constant Images Using Nonsmooth Nonconvex Minimization

(2008) Mila Nikolova et al.   SIAM Journal on Imaging Sciences