Fetching the paper…
Reading the bibliography…
The Alternating Direction Method of Multipliers (ADMM) is widely used for linearly constrained convex problems.
On the numerical solution of heat conduction problems in two and three space variables
J. Douglas and H. Rachford · 1956
Earlier work this paper cites.
Applications of the method of multipliers to variational inequalities
D. Gabay · 1983
Earlier work this paper cites.
On an approach to the construction of optimal methods of minimization of smooth convex functions
Yu. Nesterov · 1988
Earlier work this paper cites.
De-noising by soft-thresholding
D. Donoho · 1995
Earlier work this paper cites.
A new inexact alternating directions method for monotone variational inequalities
B. He, L. Liao, D. Han, and H. Yang · 2002
Earlier work this paper cites.
A gene-expression signature as a predictor of survival in breast cancer
M. van de Vijver, Y. He, L. van’t Veer, Dai H, and et al · 2002
Earlier work this paper cites.
On accelerated proximal gradient methods for convex-concave optimization
P. Tseng · 2008
Earlier work this paper cites.
The group LASSO for logistic regression
L. Meier, S. van de Geer, and P. Bühlmann · 2008
Earlier work this paper cites.
A fast iterative shrinkage thresholding algorithm for linear inverse problems
A. Beck and M. Teboulle · 2009
Earlier work this paper cites.
Group LASSO with overlap and graph LASSO
L. Jacob, G. Obozinski, and J. Vert · 2009
Earlier work this paper cites.
Distributed optimization and statistical learning via the alternating direction method of multipliers
S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein · 2010
Earlier work this paper cites.
A general framework for a class of first order primal-dual algorithms for convex optimization in imaging science
E. Esser, X. Zhang, and T. Chan · 2010
Earlier work this paper cites.
A singular value thresholding algorithm for matrix completion
J. Cai, E. Candès, and Z. Shen · 2010
Cited alongside, same era.
The augmented lagrange multiplier method for exact recovery of corrupted low-rank matrices
Y. Ma Z. Lin, M. Chen · 2010
Cited alongside, same era.
A first-order primal-dual algorithm for convex problems with applications to imaging
A. Chambolle and T. Pock · 2011
Cited alongside, same era.
The linearized alternating direction method for Dantzig selector
X. Wang and X. Yuan · 2012
Cited alongside, same era.
Local linear convergence of the alternating direction methodof multipliers on quadratic or linear programs
D. Boley · 2013
Cited alongside, same era.
An inertial forward-backward algorithm for monotone inclusions
D. Lorenz and T. Pock · 2015
Later among the works it cites.
An accelerated linearized alternating direction method of multipliers
Y. Ouyang, Y. Chen, G. Lan, and E. Pasiliao · 2015
Later among the works it cites.
Linearized alternating direction method with parallel splitting and adaptive penalty for separable convex programs in machine learning
Z. Lin, R. Liu, and H. Li · 2015
Later among the works it cites.
Adaptive restart for accelerated gradient schemes
B. O’Donoghue and E. Candès · 2015
Later among the works it cites.
On the global and linear convergence of the generalized alternating direction method of multipliers
W. Deng and W. Yin · 2016
Closest in time.
Linear convergence of the alternating direction method of multipliers for a class of convex optimization problems
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
R. Shefi and M. Teboulle · 2014
Cited alongside, same era.
Convergence rate analysis of several splitting schemes
D. Davis and W. Yin · 2014
Cited alongside, same era.
Fast alternating direction optimization methods
T. Goldstein, B. O’Donoghue, S. Setzer, and R. Baraniuk · 2014
Cited alongside, same era.
Optimal primal-dual methods for a class of saddle point problems
Y. Chen, G. Lan, and Y. Ouyang · 2014
Cited alongside, same era.
The rate of linear convergence of the Douglas Rachford algorithm for subspaces is the cosine of the Friedrichs angle
H. Bauschke, J. Bello Cruz, T. Nghia, H. Phan, and X. Wang · 2014
Cited alongside, same era.
On non-ergodic convergence rate of Douglas-Rachford alternating directions method of multipliers
B. He and X. Yuan · 2015
Cited alongside, same era.
Inertial proximal ADMM for linearly constrained separable convex optimization
C. Chen, R. Chan, S. Ma, and J. Yang · 2015
Cited alongside, same era.
W. Yang and D. Han · 2016
Closest in time.
Linear convergence of first order methods for non-strongly convex optimization
I. Necoara, Yu. Nesterov, and F. Glineur · 2016
Closest in time.
Tight complexity bounds for optimizing composite objectives
B. Woodworth and N. Srebro · 2016
Closest in time.
On the linear convergence of the alternating direction method of multipliers
M. Hong and Z. Luo · 2017
Closest in time.
Linear convergence and metric selection in douglas rachford splitting and ADMM
P. Giselsson and S. Boyd · 2017
Closest in time.
Provable accelerated gradient method for nonconvex low rank optimization
H. Li and Z. Lin · 2017
Closest in time.