Related references
Note: Only part of the references are listed.Global Convergence of ADMM in Nonconvex Nonsmooth Optimization
Yu Wang et al.
JOURNAL OF SCIENTIFIC COMPUTING (2019)
Global Convergence of Unmodified 3-Block ADMM for a Class of Convex Minimization Problems
Tianyi Lin et al.
JOURNAL OF SCIENTIFIC COMPUTING (2018)
On the Information-Adaptive Variants of the ADMM: An Iteration Complexity Perspective
Xiang Gao et al.
JOURNAL OF SCIENTIFIC COMPUTING (2018)
A Distributed, Asynchronous, and Incremental Algorithm for Nonconvex Optimization: An ADMM Approach
Mingyi Hong
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS (2018)
Cubic-regularization counterpart of a variable-norm trust-region method for unconstrained minimization
J. M. Martinez et al.
JOURNAL OF GLOBAL OPTIMIZATION (2017)
Linearly convergent away-step conditional gradient for non-strongly convex functions
Amir Beck et al.
MATHEMATICAL PROGRAMMING (2017)
A trust region algorithm with a worst-case iteration complexity of for nonconvex optimization
Frank E. Curtis et al.
MATHEMATICAL PROGRAMMING (2017)
An improved algorithm for the - minimization problem
Dongdong Ge et al.
MATHEMATICAL PROGRAMMING (2017)
Tensor and its tucker core: The invariance relationships
Bo Jiang et al.
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (2017)
Alternating Direction Method of Multipliers for a Class of Nonconvex and Nonsmooth Problems with Applications to Background/Foreground Extraction
Lei Yang et al.
SIAM JOURNAL ON IMAGING SCIENCES (2017)
A smoothing SQP framework for a class of composite minimization over polyhedron
Ya-Feng Liu et al.
MATHEMATICAL PROGRAMMING (2016)
Alternating direction method of multipliers for penalized zero-variance discriminant analysis
Brendan P. W. Ames et al.
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS (2016)
Iteration Complexity Analysis of Multi-block ADMM for a Family of Convex Minimization Without Strong Convexity
Tianyi Lin et al.
JOURNAL OF SCIENTIFIC COMPUTING (2016)
CONDITIONAL GRADIENT SLIDING FOR CONVEX OPTIMIZATION
Guanghui Lan et al.
SIAM JOURNAL ON OPTIMIZATION (2016)
CONVERGENCE ANALYSIS OF ALTERNATING DIRECTION METHOD OF MULTIPLIERS FOR A FAMILY OF NONCONVEX PROBLEMS
Mingyi Hong et al.
SIAM JOURNAL ON OPTIMIZATION (2016)
SCALABLE ROBUST MATRIX RECOVERY: FRANK-WOLFE MEETS PROXIMAL METHODS
Cun Mu et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2016)
New analysis and results for the Frank-Wolfe method
Robert M. Freund et al.
MATHEMATICAL PROGRAMMING (2016)
DUALITY BETWEEN SUBGRADIENT AND CONDITIONAL GRADIENT METHODS
Francis Bach
SIAM JOURNAL ON OPTIMIZATION (2015)
GLOBAL CONVERGENCE OF SPLITTING METHODS FOR NONCONVEX COMPOSITE OPTIMIZATION
Guoyin Li et al.
SIAM JOURNAL ON OPTIMIZATION (2015)
Complexity analysis of interior point algorithms for non-Lipschitz and nonconvex minimization
Wei Bian et al.
MATHEMATICAL PROGRAMMING (2015)
Conditional gradient algorithms for norm-regularized smooth convex optimization
Zaid Harchaoui et al.
MATHEMATICAL PROGRAMMING (2015)
Alternating proximal gradient method for sparse nonnegative Tucker decomposition
Yangyang Xu
MATHEMATICAL PROGRAMMING COMPUTATION (2015)
Complexity of unconstrained minimization
Xiaojun Chen et al.
MATHEMATICAL PROGRAMMING (2014)
Proximal alternating linearized minimization for nonconvex and nonsmooth problems
Jerome Bolte et al.
MATHEMATICAL PROGRAMMING (2014)
First-order methods of smooth convex optimization with inexact oracle
Olivier Devolder et al.
MATHEMATICAL PROGRAMMING (2014)
Augmented Lagrangian alternating direction method for matrix separation based on low-rank factorization
Y. Shen et al.
OPTIMIZATION METHODS & SOFTWARE (2014)
Multi-stage convex relaxation for feature selection
Tong Zhang
BERNOULLI (2013)
Approximate KKT points and a proximity measure for termination
Joydeep Dutta et al.
JOURNAL OF GLOBAL OPTIMIZATION (2013)
WORST-CASE COMPLEXITY OF SMOOTHING QUADRATIC REGULARIZATION METHODS FOR NON-LIPSCHITZIAN OPTIMIZATION
Wei Bian et al.
SIAM JOURNAL ON OPTIMIZATION (2013)
Conditional Gradient Algorithms for Rank-One Matrix Approximations with a Sparsity Constraint
Ronny Luss et al.
SIAM REVIEW (2013)
An adaptive cubic regularization algorithm for nonconvex optimization with convex constraints and its function-evaluation complexity
C. Cartis et al.
IMA JOURNAL OF NUMERICAL ANALYSIS (2012)
Solving a low-rank factorization model for matrix completion by a nonlinear successive over-relaxation algorithm
Zaiwen Wen et al.
MATHEMATICAL PROGRAMMING COMPUTATION (2012)
Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity
Coralia Cartis et al.
MATHEMATICAL PROGRAMMING (2011)
NEARLY UNBIASED VARIABLE SELECTION UNDER MINIMAX CONCAVE PENALTY
Cun-Hui Zhang
ANNALS OF STATISTICS (2010)
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz Inequality
Hedy Attouch et al.
MATHEMATICS OF OPERATIONS RESEARCH (2010)
ON THE COMPLEXITY OF STEEPEST DESCENT, NEWTON'S AND REGULARIZED NEWTON'S METHODS FOR NONCONVEX UNCONSTRAINED OPTIMIZATION PROBLEMS
C. Cartis et al.
SIAM JOURNAL ON OPTIMIZATION (2010)
CHARACTERIZATIONS OF LOJASIEWICZ INEQUALITIES: SUBGRADIENT FLOWS, TALWEG, CONVEXITY
Jerome Bolte et al.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2010)
A forward-backward splitting algorithm for the minimization of non-smooth convex functionals in Banach space
Kristian Bredies
INVERSE PROBLEMS (2009)
A generalized conditional gradient method and its connection to an iterative shrinkage method
Kristian Bredies et al.
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS (2009)
Enhancing Sparsity by Reweighted l1 Minimization
Emmanuel J. Candes et al.
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS (2008)
Clarke subgradients of stratifiable functions
Jerome Bolte et al.
SIAM JOURNAL ON OPTIMIZATION (2007)
THE LOJASIEWICZ INEQUALITY FOR NONSMOOTH SUBANALYTIC FUNCTIONS WITH APPLICATIONS TO SUBGRADIENT DYNAMICAL SYSTEMS
Jerome Bolte et al.
SIAM JOURNAL ON OPTIMIZATION (2007)
Extensions of Frechet ε-subdifferential calculus and applications
H Van Ngai et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2002)
Variable selection via nonconcave penalized likelihood and its oracle properties
JQ Fan et al.
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (2001)