Fetching the paper…
Reading the bibliography…
In this paper, we propose a new decomposition approach named the proximal primal dual algorithm (Prox-PDA) for smooth nonconvex linearly constrained optimization problems.
“Multiplier and gradient methods,”
M. R. Hestenes, · 1969
Earlier work this paper cites.
“An efficient method for nonlinear constraints in minimization problems,”
M. M. D. Powell, · 1969
Earlier work this paper cites.
“Sur l’approximation, par elements finis d’ordre un,et la resolution, par penalisation-dualite, d’une classe de problemes de dirichlet non lineares,”
R. Glowinski and A. Marroco, · 1975
Earlier work this paper cites.
“A dual algorithm for the solution of nonlinear variational problems via finite element approximation,”
D. Gabay and B. Mercier, · 1976
Earlier work this paper cites.
Constrained Optimization and Lagrange Multiplier Method
D. P. Bertsekas, · 1982
Earlier work this paper cites.
“Problems in decentralized decision making and computation,”
J. Tsitsiklis, · 1984
Earlier work this paper cites.
Numerical methods for nonlinear variational problems
R. Glowinski, · 1984
Earlier work this paper cites.
“Splitting methods for monotone operators with applications to parallel optimization,”
J. Eckstein, · 1989
Earlier work this paper cites.
“A globally convergent augmented lagrangian algorithm for optimization with general constraints and simple bounds.,”
A. R. Conn, N. I. M. Gould, and Ph. L. Toint., · 1991
Earlier work this paper cites.
“On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators,”
J. Eckstein and D. P. Bertsekas, · 1992
Earlier work this paper cites.
D. P. Bertsekas and J. N. Tsitsiklis, · 1996
Earlier work this paper cites.
Parallel and Distributed Computation: Numerical Methods, 2nd ed
D. P. Bertsekas and J. N. Tsitsiklis, · 1997
Earlier work this paper cites.
Numerical Optimization
J. Nocedal and S. J. Wright, · 1999
Earlier work this paper cites.
Introductory lectures on convex optimization: A basic course
Y. Nesterov, · 2004
Earlier work this paper cites.
“Sum power iterative water-filling for multi-antenna Gaussian broadcast channels,”
N. Jindal, W. Rhee, S. Vishwanath, S. A. Jafar, and A. Goldsmith, · 2005
Earlier work this paper cites.
“A globally convergent linearly constrained lagrangian method for nonlinear optimization,”
M. P. Friedlander and M. A. Saunders, · 2005
Earlier work this paper cites.
“On the liu - floudas convexification of smooth programs,”
S. Zlobec, · 2005
Earlier work this paper cites.
“Smooth minimization of nonsmooth functions,”
Y. Nesterov, · 2005
Earlier work this paper cites.
“Distributed average consensus with least-mean-square deviation,”
L. Xiao, S. Boyd, and S.-J. Kim, · 2007
Earlier work this paper cites.
“Consensus in ad hoc wsns with noisy links - part i: Distributed estimation of deterministic signals,”
I. Schizas, A. Ribeiro, and G. Giannakis, · 2008
Earlier work this paper cites.
“An inexact modified subgradient algorithm for nonconvex optimization,”
R. S. Burachik, C. Y. Kaya, and M. Mammadov, · 2008
Cited alongside, same era.
“Distributed consensus-based demodulation: Algorithms and error analysis,”
H. Zhu, A. Cano, and G. B. Giannakis, · 2010
Cited alongside, same era.
“Distributed sparse linear regression,”
G. Mateos, J. A. Bazerque, and G. B. Giannakis, · 2010
Cited alongside, same era.
“Stable principal component pursuit.,”
Li X. Wright J. Candes E. J. Zhou, Z. and Y. Ma, · 2010
Cited alongside, same era.
“An alternating direction algorithm for nonnegative matrix factorization,”
Y. Zhang, · 2010
Cited alongside, same era.
“Convergence of a class of stationary iterative methods for saddle point problems,”
Y. Zhang, · 2010
Cited alongside, same era.
“Asynchronous distributed admm for consensus optimization,”
R. Zhang and J. T. Kwok, · 2014
Later among the works it cites.
A. P. Liavas and N. D. Sidiropoulos, · 2014
Later among the works it cites.
“Splitting methods for nonconvex composite optimization,”
G. Li and T.-K Pong, · 2014
Later among the works it cites.
“Mini-batch stochastic approximation methods for nonconvex stochastic composite optimization,”
S. Ghadimi, G. Lan, and H. Zhang, · 2014
Later among the works it cites.
M. Hong, · 2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
“Dynamic resource allocation in cognitive radio network,”
R. Zhang, Y-.C Liang, and S. Cui, · 2010
Cited alongside, same era.
“Distributed clustering using wireless sensor networks,”
P. A. Forero, A. Cano, and G. B. Giannakis, · 2011
Cited alongside, same era.
“Distributed optimization and statistical learning via the alternating direction method of multipliers,”
S. Boyd, N. Parikh, E. Chu, B. Peleato, and J. Eckstein, · 2011
Cited alongside, same era.
“Solving large-scale least squares semidefinite programming by alternating direction methods,”
B. He, M. Xu, and X. Yuan, · 2011
Cited alongside, same era.
“Local convergence of exact and inexact augmented lagrangian methods under the second-order sufficient optimality condition,”
D. Fernandez and M. V. Solodov, · 2012
Cited alongside, same era.
“On the linear convergence of the alternating direction method of multipliers,”
M. Hong and Z.-Q. Luo, · 2012
Cited alongside, same era.
“EXTRA: An exact first-order algorithm for decentralized consensus optimization,”
W. Shi, Q. Ling, G. Wu, and W. Yin, · 2014
Later among the works it cites.
“Semi-asynchronous routing for large-scale hierarchical networks,”
W.-C. Liao, M. Hong, H. Farmanbar, and Z.-Qu. Luo, · 2015
Later among the works it cites.
“Proximal splitting methods in signal processing,”
G. B. Giannakis, Q. Ling, G. Mateos, I. D. Schizas, and H. Zhu, · 2015
Later among the works it cites.
M. Hong, Z.-Q. Luo, and M. Razaviyayn, · 2015
Later among the works it cites.
“Iteration-complexity of first-order augmented lagrangian methods for convex programming,”
G. Lan and R. D. C. Monteiro, · 2015
Later among the works it cites.
“Global convergence of admm in nonconvex nonsmooth optimization,”
Y. Wang and J. Zeng W. Yin, · 2015
Later among the works it cites.
“Multi-agent distributed optimization via inexact consensus admm,”
T.-H. Chang, M. Hong, and X. Wang, · 2015
Later among the works it cites.
“Alternating directions method of multipliers for l1-penalized zero variance discriminant analysis and principal component analysis,”
B. Ames and M. Hong, · 2015
Later among the works it cites.
“A unified algorithmic framework for block-structured optimization involving big data,”
M. Hong, M. Razaviyayn, Z.-Q. Luo, and J.-S. Pang, · 2015
Later among the works it cites.
“Non-convex distributed optimization,”
T. Tatarenko and B. Touri, · 2015
Later among the works it cites.
“Adaptive augmented lagrangian methods: algorithms and practical numerical experience,”
Frank E. Curtis, Nicholas I. M. Gould, H. Jiang, and Daniel P. Robinson, · 2016
Closest in time.
“Robust volume minimization-based matrix factorization via alternating optimization,”
X. Fu, W.-K. Ma, K. Huang, and N. D. Sidiropoulos, · 2016
Closest in time.
“On the complexity of steepest descent, Newton’s and regularized newton’s methods for nonconvex unconstrained optimization.,”
N. I. M. Gould C. Cartis and Ph. L. Toint, · 2016
Closest in time.
“Next: In-network nonconvex optimization,”
P. D. Lorenzo and G. Scutari, · 2016
Closest in time.