On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators

A Primal-Dual Algorithm for MonotropicProgramming and its Application to NetworkOptimization

Computational Optimization and Applications

Proximal Point Methods and Nonconvex Optimization

Journal of Global Optimization

Some recent advances in projection-type methods for variational inequalities

Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics

Convergence of a splitting inertial proximal method for monotone operators

Journal of Computational and Applied Mathematics

Finding best approximation pairs relative to two closed convex sets in Hilbert spaces

Journal of Approximation Theory

Splitting-type method for systems of variational inequalities

Computers and Operations Research

The over-relaxed proximal point algorithm based on H-maximal monotonicity design and applications

Computers & Mathematics with Applications

On convergence criteria of generalized proximal point algorithms

Journal of Computational and Applied Mathematics

On the convergence analysis of inexact hybrid extragradient proximal point algorithms for maximal monotone operators

Journal of Computational and Applied Mathematics

Convergence theorems for inertial KM-type algorithms

Journal of Computational and Applied Mathematics

A descent method for structured monotone variational inequalities

Optimization Methods & Software

A modified inexact operator splitting method for monotone variational inequalities

Journal of Global Optimization

Generalized Eckstein-Bertsekas proximal point algorithm based on A-maximal monotonicity design

Computers & Mathematics with Applications

Relaxed proximal point algorithms for variational inequalities with multi-valued operators

Optimization Methods & Software

Convex Multi-class Image Labeling by Simplex-Constrained Total Variation

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision

Split Bregman Algorithm, Douglas-Rachford Splitting and Frame Shrinkage

SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision

A new relaxed proximal point procedure and applications to nonlinear variational inclusions

Computers & Mathematics with Applications

Computing the Local Continuity Order of Optical Flow Using Fractional Variational Method

EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition

A proximal iteration for deconvolving Poisson noisy images using sparse representations

IEEE Transactions on Image Processing

Splitting-type method for systems of variational inequalities

Computers and Operations Research

Removing Multiplicative Noise by Douglas-Rachford Splitting Methods

Journal of Mathematical Imaging and Vision

Multiplicative Noise Removal Using L1 Fidelity on Frame Coefficients

Journal of Mathematical Imaging and Vision

Deblurring Poissonian images by split Bregman techniques

Journal of Visual Communication and Image Representation

Multiplicative noise removal using variable splitting and constrained optimization

IEEE Transactions on Image Processing

Fast image recovery using variable splitting and constrained optimization

IEEE Transactions on Image Processing

Continuity order of local displacement in volumetric image sequence

WBIR'10 Proceedings of the 4th international conference on Biomedical image registration

Some Goldstein's type methods for co-coercive variant variational inequalities

Applied Numerical Mathematics

Restoration of Poissonian images using alternating direction optimization

IEEE Transactions on Image Processing

Split Bregman method for large scale fused Lasso

Computational Statistics & Data Analysis

Restoration of images based on subspace optimization accelerating augmented Lagrangian approach

Journal of Computational and Applied Mathematics

A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration

Journal of Scientific Computing

Fast minimization methods for solving constrained total-variation superresolution image reconstruction

Multidimensional Systems and Signal Processing

Sparse and low-rank estimation of time-varying Markov networks with alternating direction method of multipliers

ICONIP'10 Proceedings of the 17th international conference on Neural information processing: theory and algorithms - Volume Part I

An algorithm for solving the general variational inclusion involving A-monotone operators

Computers & Mathematics with Applications

Solving Constrained Total-variation Image Restoration and Reconstruction Problems via Alternating Direction Methods

SIAM Journal on Scientific Computing

Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction

SIAM Journal on Imaging Sciences

Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models

SIAM Journal on Imaging Sciences

Operator Splittings, Bregman Methods and Frame Shrinkage in Image Processing

International Journal of Computer Vision

A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging

Journal of Mathematical Imaging and Vision

An improved proximal alternating direction method for monotone variational inequalities with separable structure

Computational Optimization and Applications

Deconvolving Poissonian images by a novel hybrid variational model

Journal of Visual Communication and Image Representation

An alternating direction method for dual MAP LP relaxation

ECML PKDD'11 Proceedings of the 2011 European conference on Machine learning and knowledge discovery in databases - Volume Part II

Alternating direction method for bi-quadratic programming

Journal of Global Optimization

Relatively relaxed proximal point algorithms for generalized maximal monotone mappings and Douglas-Rachford splitting methods

WSEAS Transactions on Mathematics

A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science

SIAM Journal on Imaging Sciences

On Weak Convergence of the Douglas-Rachford Method

SIAM Journal on Control and Optimization

Alternating Direction Algorithms for $\ell_1$-Problems in Compressive Sensing

SIAM Journal on Scientific Computing

Inexact Alternating Direction Methods for Image Recovery

SIAM Journal on Scientific Computing

Alternating Direction Method for Image Inpainting in Wavelet Domains

SIAM Journal on Imaging Sciences

On vector and matrix median computation

Journal of Computational and Applied Mathematics

Dual decomposition with many overlapping components

EMNLP '11 Proceedings of the Conference on Empirical Methods in Natural Language Processing

Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers

Foundations and Trends® in Machine Learning

Segmentation of images with separating layers by fuzzy c-means and convex optimization

Journal of Visual Communication and Image Representation

A new fuzzy c-means method with total variation regularization for segmentation of images with noisy and incomplete data

Pattern Recognition

The generalized relaxed proximal point algorithm involving A-maximal-relaxed accretive mappings with applications to Banach spaces

Mathematical and Computer Modelling: An International Journal

Generalized Eckstein-Bertsekas proximal point algorithm involving (H,η)-monotonicity framework

Mathematical and Computer Modelling: An International Journal

Generalized over-relaxed proximal algorithm based on A-maximal monotonicity framework and applications to inclusion problems

Mathematical and Computer Modelling: An International Journal

New decomposition methods for solving variational inequality problems

Mathematical and Computer Modelling: An International Journal

The improvement with relative errors of he et al. 's inexact alternating direction method for monotone variational inequalities

Mathematical and Computer Modelling: An International Journal

TILT: Transform Invariant Low-Rank Textures

International Journal of Computer Vision

Full length article: Attouch-Théra duality revisited: Paramonotonicity and operator splitting

Journal of Approximation Theory

An alternating direction method for finding Dantzig selectors

Computational Statistics & Data Analysis

An inexact parallel splitting augmented Lagrangian method for monotone variational inequalities with separable structures

Computational Optimization and Applications

On the $O(1/n)$ Convergence Rate of the Douglas-Rachford Alternating Direction Method

SIAM Journal on Numerical Analysis

Fixed Points of Averages of Resolvents: Geometry and Algorithms

SIAM Journal on Optimization

Fast Algorithms for Image Reconstruction with Application to Partially Parallel MR Imaging

SIAM Journal on Imaging Sciences

A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality

SIAM Journal on Optimization

An LQP-Based Decomposition Method for Solving a Class of Variational Inequalities

SIAM Journal on Optimization

Continuous Multiclass Labeling Approaches and Algorithms

SIAM Journal on Imaging Sciences

Minimizing Condition Number via Convex Programming

SIAM Journal on Matrix Analysis and Applications

Structured sparsity via alternating direction methods

The Journal of Machine Learning Research

Function-valued mappings, total variation and compressed sensing for diffusion MRI

ICIAR'12 Proceedings of the 9th international conference on Image Analysis and Recognition - Volume Part II

Lagrangian multipliers and split Bregman methods for minimization problems constrained on Sn-1

Journal of Visual Communication and Image Representation

New image restoration method associated with tetrolets shrinkage and weighted anisotropic total variation

Signal Processing

Fast reduction of speckle noise in real ultrasound images

Signal Processing

X-Ray CT Image Reconstruction via Wavelet Frame Based Regularization and Radon Domain Inpainting

Journal of Scientific Computing

An Efficient Algorithm for l0 Minimization in Wavelet Frame Based Image Restoration

Journal of Scientific Computing

Applying alternating direction method of multipliers for constrained dictionary learning

Neurocomputing

Learning with infinitely many features

Machine Learning

An alternating direction method for second-order conic programming

Computers and Operations Research

Combining Lagrangian decomposition and excessive gap smoothing technique for solving large-scale separable convex optimization problems

Computational Optimization and Applications

MRF-Based blind image deconvolution

ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part III

An efficient ADMM algorithm for multidimensional anisotropic total variation regularization problems

Proceedings of the 19th ACM SIGKDD international conference on Knowledge discovery and data mining

Alternating direction methods for latent variable gaussian graphical model selection

Neural Computation

Strong convergence theorems for approximating common fixed points of families of nonexpansive mappings and applications

Journal of Global Optimization

Two-stage stochastic optimization for optimal power flow under renewable generation uncertainty

ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special issue on simulation in complex service systems

Image Restoration via Tight Frame Regularization and Local Constraints

Journal of Scientific Computing

An inexact LQP alternating direction method for solving a class of structured variational inequalities

Computers & Mathematics with Applications

Vector network equilibrium problems with elastic demands

Journal of Global Optimization

An effective dual method for multiplicative noise removal

Journal of Visual Communication and Image Representation

On proximal gradient method for the convex problems regularized with the group reproducing kernel norm

Journal of Global Optimization

Learning with tensors: a framework based on convex optimization and spectral regularization

Machine Learning

An alternating structured trust region algorithm for separable optimization problems with nonconvex constraints

Computational Optimization and Applications

Homogeneous Penalizers and Constraints in Convex Image Restoration

Journal of Mathematical Imaging and Vision

Convex Relaxation of a Class of Vertex Penalizing Functionals

Journal of Mathematical Imaging and Vision

A Framework for Moving Least Squares Method with Total Variation Minimizing Regularization

Journal of Mathematical Imaging and Vision