Alternating Proximal Gradient Method for Convex Minimization

An alternating direction method with increasing penalty for stable principal component pursuit

(2015) N. S. Aybat et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

On Full Jacobian Decomposition of the Augmented Lagrangian Method for Separable Convex Programming

(2015) Bingsheng He et al.   SIAM JOURNAL ON OPTIMIZATION

On the Global Linear Convergence of the ADMM with MultiBlock Variables

(2015) Tianyi Lin et al.   SIAM JOURNAL ON OPTIMIZATION

The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent

(2014) Caihua Chen et al.   MATHEMATICAL PROGRAMMING

On non-ergodic convergence rate of Douglas–Rachford alternating direction method of multipliers

(2014) Bingsheng He et al.   NUMERISCHE MATHEMATIK

An alternating direction method for total variation denoising

(2014) Zhiwei (Tony) Qin et al.   OPTIMIZATION METHODS & SOFTWARE

Fast Alternating Direction Optimization Methods

(2014) Tom Goldstein et al.   SIAM Journal on Imaging Sciences

Alternating Direction Methods for Latent Variable Gaussian Graphical Model Selection

(2013) Shiqian Ma et al.   NEURAL COMPUTATION

Hankel Matrix Rank Minimization with Applications to System Identification and Realization

(2013) Maryam Fazel et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Local Linear Convergence of the Alternating Direction Method of Multipliers for Quadratic Programs

(2013) Deren Han et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Iteration-Complexity of Block-Decomposition Algorithms and the Alternating Direction Method of Multipliers

(2013) Renato D. C. Monteiro et al.   SIAM JOURNAL ON OPTIMIZATION

Local Linear Convergence of the Alternating Direction Method of Multipliers on Quadratic or Linear Programs

(2013) Daniel Boley   SIAM JOURNAL ON OPTIMIZATION

Latent variable graphical model selection via convex optimization

(2012) Venkat Chandrasekaran et al.   ANNALS OF STATISTICS

RASL: Robust Alignment by Sparse and Low-Rank Decomposition for Linearly Correlated Images

(2012) Yigang Peng et al.   IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE

Positive-Definite ℓ1-Penalized Estimation of Large Covariance Matrices

(2012) Lingzhou Xue et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Fast alternating linearization methods for minimizing the sum of two convex functions

(2012) Donald Goldfarb et al.   MATHEMATICAL PROGRAMMING

Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization

(2012) Junfeng Yang et al.   MATHEMATICS OF COMPUTATION

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

(2012) Bingsheng He et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Alternating Direction Method with Gaussian Back Substitution for Separable Convex Programming

(2012) Bingsheng He et al.   SIAM JOURNAL ON OPTIMIZATION

Fast Multiple-Splitting Algorithms for Convex Optimization

(2012) Donald Goldfarb et al.   SIAM JOURNAL ON OPTIMIZATION

Alternating Direction Method for Covariance Selection Models

(2011) Xiaoming Yuan   JOURNAL OF SCIENTIFIC COMPUTING

Robust principal component analysis?

(2011) Emmanuel J. Candès et al.   JOURNAL OF THE ACM

Recovering Low-Rank and Sparse Components of Matrices from Incomplete and Noisy Observations

(2011) Min Tao et al.   SIAM JOURNAL ON OPTIMIZATION

Rank-Sparsity Incoherence for Matrix Decomposition

(2011) Venkat Chandrasekaran et al.   SIAM JOURNAL ON OPTIMIZATION

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

(2011) Junfeng Yang et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Fast Alternating Direction Method for TVL1-L2 Signal Reconstruction From Partial Fourier Data

(2010) Junfeng Yang et al.   IEEE Journal of Selected Topics in Signal Processing

Matrix Completion From a Few Entries

(2010) Raghunandan H. Keshavan et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

The Power of Convex Relaxation: Near-Optimal Matrix Completion

(2010) Emmanuel J. Candes et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction

(2010) Xiaoqun Zhang et al.   SIAM Journal on Imaging Sciences

Solving Log-Determinant Optimization Problems by a Newton-CG Primal Proximal Point Algorithm

(2010) Chengjing Wang et al.   SIAM JOURNAL ON OPTIMIZATION

A Singular Value Thresholding Algorithm for Matrix Completion

(2010) Jian-Feng Cai et al.   SIAM JOURNAL ON OPTIMIZATION

Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization

(2010) Benjamin Recht et al.   SIAM REVIEW

Exact Matrix Completion via Convex Optimization

(2009) Emmanuel J. Candès et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Fixed point and Bregman iterative methods for matrix rank minimization

(2009) Shiqian Ma et al.   MATHEMATICAL PROGRAMMING

The Split Bregman Method for L1-Regularized Problems

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

Regularization Methods for Semidefinite Programming

(2009) Jérôme Malick et al.   SIAM JOURNAL ON OPTIMIZATION

A New Alternating Minimization Algorithm for Total Variation Image Reconstruction

(2008) Yilun Wang et al.   SIAM Journal on Imaging Sciences