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This paper establishes the iteration-complexity of a Jacobi-type non-Euclidean proximal alternating direction method of multipliers (ADMM) for solving multi-block linearly constrained nonconvex programs.
Sur l’approximation, par éléments finis d’ordre un, et la résolution, par penalisation-dualité, d’une classe de problèmes de dirichlet non linéaires
R. Glowinski and A. Marroco · 1975
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A dual algorithm for the solution of nonlinear variational problems via finite element approximation
D. Gabay and B. Mercier · 1976
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Variational analysis
R. T. Rockafellar and R. J.-B. Wets · 1998
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Variational analysis and generalized differentiation I: basic theory
B.S. Mordukhovich · 2006
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Distributed clustering using wireless sensor networks
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A note on the alternating direction method of multipliers
D. Han and X. Yuan · 2012
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An alternating direction algorithm for matrix completion with nonnegative factors
Y. Xu, W. Yin, Z. Wen, and Y. Zhang · 2012
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Iteration-complexity of block-decomposition algorithms and the alternating direction method of multipliers
R. D. C. Monteiro and B. F Svaiter · 2013
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Asset allocation under the Basel accord risk measures
Z. Wen, X. Peng, X. Liu, X. Sun, and X. Bais · 2013
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A.P. Liavas and N.D. Sidiropoulos · 2014
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F. Wang, Z. Xu, and H. K. Xu · 2014
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Parallel direction method of multipliers
H. Wang, A. Banerjee, and Z-Q. Luo · 2014
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Asynchronous distributed admm for consensus optimization
R. Zhang and J. T. Kwok · 2014
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On the global and linear convergence of the generalized alternating direction method of multipliers
W. Deng and W. Yin · 2015
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Generalized alternating direction method of multipliers: new theoretical insights and applications
E. X. Fang, B. He, H. Liu, and X. Yuan · 2015
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A semi-proximal-based strictly contractive Peaceman-Rachford splitting method
Y. Gu, B. Jiang, and H. Deren · 2015
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On the step size of symmetric alternating directions method of multipliers
B. He, F. Ma, and X. Yuan · 2015
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Global convergence of splitting methods for nonconvex composite optimization
G. Li and T. K. Pong · 2015
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The augmented lagrangian method with full jacobian decomposition and logarithmic-quadratic proximal regularization for multiple-block separable convex programming
M. Li and X. Yuan · 2015
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Extending the ergodic convergence rate of the proximal ADMM
M. L. N. Gonçalves, J. G. Melo, and R. D. C. Monteiro · 2016
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Convergence of alternating direction method for minimizing sum of two nonconvex functions with linear constraints
K. Guo, D. R. Han, and T. T. Wu · 2016
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On the proximal jacobian decomposition of alm for multiple-block separable convex minimization problems and its relationship to admm
B. He, H-K. Xu, and X. Yuan · 2016
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Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems
M. Hong, Z.-Q. Luo, and M. Razaviyayn · 2016
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Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis
B. Jiang, T. Lin, S. Ma, and S. Zhang · 2016
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On the global linear convergence of the admm with multiblock variables
T. Lin, S. Ma, and S. Zhang · 2015
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On the sublinear convergence rate of multi-block admm
T. Lin, S. Ma, and S. Zhang · 2015
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An accelerated linearized alternating direction method of multipliers
Y. Ouyang, Y. Chen, G. Lan, and E. Pasiliao Jr · 2015
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Convergence of multi-block Bregman ADMM for nonconvex composite problems
F. Wang, W. Cao, and Z. Xu · 2015
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Global convergence of ADMM in nonconvex nonsmooth optimization
W. Wang, Y. Yin and J. Zeng · 2015
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Alternating direction method of multipliers for penalized zero-variance discriminant analysis
B. P. W. Ames and M. Hong · 2016
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Iteration complexity analysis of multi-block admm for a family of convex minimization without strong convexity
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Parallel multi-block admm with o(1 / k) convergence
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M. L. N. Gonçalves, J. G. Melo, and R. D. C. Monteiro · 2017
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