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We propose and study a novel stochastic inertial primal-dual approach to solve composite optimization problems.
Random fejér and quasi-fejér sequences
Y. M. Ermol’ev and A. D. Tuniev · 1968
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Convergence of a splitting inertial proximal method for monotone operators
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Sparsity and smoothness via the fused lasso
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Simultaneous regression shrinkage, variable selection, and supervised clustering of predictors with oscar
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Gradient methods for minimizing composite objective function
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An efficient primal-dual hybrid gradient algorithm for total variation image restoration
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A fast iterative shrinkage-thresholding algorithm for linear inverse problems
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Efficient online and batch learning using forward backward splitting
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A parallel splitting method for coupled monotone inclusions
H. Attouch, L. M. Briceno-Arias, and P. L. Combettes · 2010
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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
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Solving structured sparsity regularization with proximal methods
S. Mosci, L. Rosasco, M. Santoro, A. Verri, and S. Villa · 2010
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Convex analysis and monotone operator theory in Hilbert spaces
H. H. Bauschke and P. L. Combettes · 2011
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A first-order primal-dual algorithm for convex problems with applications to imaging
A. Chambolle and T. Pock · 2011
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On a generalization of the iterative soft-thresholding algorithm for the case of non-separable penalty
I. Loris and C. Verhoeven · 2011
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Diagonal preconditioning for first order primal-dual algorithms in convex optimization
T. Pock and A. Chambolle · 2011
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Optimization with sparsity-inducing penalties
F. Bach, R. Jenatton, J. Mairal, and G. Obozinski · 2012
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Primal-dual splitting algorithm for solving inclusions with mixtures of composite, lipschitzian, and parallel-sum type monotone operators
P. L. Combettes and J.-C. Pesquet · 2012
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A splitting algorithm for dual monotone inclusions involving cocoercive operators
B. C. Vũ · 2013
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On stochastic proximal gradient algorithms
Y. Atchade, G. Fort, and E. Moulines · 2014
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P. Bianchi, W. Hachem, and F. Iutzeler · 2014
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Stochastic quasi-fejér block-coordinate fixed point iterations with random sweeping
P. L. Combettes and J.-C. Pesquet · 2014
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A forward-backward view of some primal-dual optimization methods in image recovery
P.L. Combettes, L. Condat, J.-C. Pesquet, and B.C. Vu · 2014
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P. L. Combettes and B. C. Vũ · 2012
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An optimal method for stochastic composite optimization
G. Lan · 2012
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A stochastic gradient method with an exponential convergence _rate for finite training sets
N. Le Roux, M. Schmidt, and F. R. Bach · 2012
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Structured sparsity and generalization
A. Maurer and M. Pontil · 2012
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A primal–dual fixed point algorithm for convex separable minimization with applications to image restoration
P. Chen, J. Huang, and X. Zhang · 2013
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A primal-dual splitting method for convex optimization involving Lipschitzian, proximable and linear composite terms
L. Condat · 2013
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Nonparametric sparsity and regularization
L. Rosasco, S. Villa, S. Mosci, M. Santoro, and A. Verri · 2013
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A sparsity preserving stochastic gradient methods for sparse regression
Q. Lin, X. Chen, and J. Peña · 2014
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A class of randomized primal-dual algorithms for distributed optimization
J.-C. Pesquet and A. Repetti · 2014
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Convergence of stochastic proximal gradient algorithm
L. Rosasco, S. Villa, and B. C. Vũ · 2014
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A stochastic forward-backward splitting method for solving monotone inclusions in hilbert spaces
L. Rosasco, S. Villa, and B. C. Vũ · 2014
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Incrementally updated gradient methods for constrained and regularized optimization
P. Tseng and S. Yun · 2014
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Proximal methods for the latent group lasso penalty
S. Villa, L. Rosasco, S. Mosci, and A. Verri · 2014
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Solving OSCAR regularization problems by fast approximate proximal splitting algorithms
X. Zeng and M. Figueiredo · 2014
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An inertial forward-backward algorithm for monotone inclusions
D. A. Lorenz and T. Pock · 2015
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