Non-asymptotic analysis of stochastic approximation algorithms for machine learning, Proc. Ann. Conf ,
URL : https://hal.archives-ouvertes.fr/hal-00608041
Combettes, Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2011. ,
DOI : 10.1007/978-1-4419-9467-7
A stochastic coordinate descent primal-dual algorithm and applications to large-scale composite optimization, 2014. ,
A First-Order Primal-Dual Algorithm for Convex Problems with??Applications to Imaging, Journal of Mathematical Imaging and Vision, vol.60, issue.5, pp.120-145, 2011. ,
DOI : 10.1007/s10851-010-0251-1
URL : https://hal.archives-ouvertes.fr/hal-00490826
A variational formulation for frame-based inverse problems, Inverse Problems, vol.23, issue.4, pp.1495-1518, 2007. ,
DOI : 10.1088/0266-5611/23/4/008
URL : https://hal.archives-ouvertes.fr/hal-00621883
Solving monotone inclusions via compositions of nonexpansive averaged operators, Optimization, vol.93, issue.5-6, pp.475-504, 2004. ,
DOI : 10.1007/978-3-642-05156-2
URL : https://hal.archives-ouvertes.fr/hal-00017830
A forwardbackward view of some primal-dual optimization methods in image recovery, Proc. IEEE Int. Conf. Image Process, pp.27-30 ,
URL : https://hal.archives-ouvertes.fr/hal-01098038
Proximal Thresholding Algorithm for Minimization over Orthonormal Bases, SIAM Journal on Optimization, vol.18, issue.4, pp.1351-1376, 2007. ,
DOI : 10.1137/060669498
URL : https://hal.archives-ouvertes.fr/hal-00621819
Proximal Splitting Methods in Signal Processing, Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2011. ,
DOI : 10.1007/978-1-4419-9569-8_10
URL : https://hal.archives-ouvertes.fr/hal-00643807
Primal-Dual Splitting Algorithm for Solving Inclusions with Mixtures of Composite, Lipschitzian, and Parallel-Sum Type Monotone Operators, Set-Valued and Variational Analysis, vol.38, issue.2, pp.307-330, 2012. ,
DOI : 10.1007/s11228-011-0191-y
URL : https://hal.archives-ouvertes.fr/hal-00794044
Stochastic Quasi-Fej??r Block-Coordinate Fixed Point Iterations with Random Sweeping, SIAM Journal on Optimization, vol.25, issue.2, pp.1221-1248, 2015. ,
DOI : 10.1137/140971233
URL : http://arxiv.org/abs/1404.7536
Stochastic approximations and perturbations in forward-backward splitting for monotone operators, Pure Appl. Funct. Anal, vol.1, pp.13-37, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01380000
Methods for digital restoration of signals degraded by a stochastic impulse response, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.37, issue.3, pp.393-401, 1989. ,
DOI : 10.1109/29.21706
Variable metric forward???backward splitting with applications to monotone inclusions in duality, Optimization, vol.76, issue.9, pp.1289-1318, 2014. ,
DOI : 10.1137/S1052623494250415
URL : https://hal.archives-ouvertes.fr/hal-01076989
Compositions and convex combinations of averaged nonexpansive operators, Journal of Mathematical Analysis and Applications, vol.425, issue.1, pp.55-70, 2015. ,
DOI : 10.1016/j.jmaa.2014.11.044
Variable metric forward???backward splitting with applications to monotone inclusions in duality, Optimization, vol.76, issue.9, pp.1289-1318, 2014. ,
DOI : 10.1137/S1052623494250415
URL : https://hal.archives-ouvertes.fr/hal-01076989
Signal Recovery by Proximal Forward-Backward Splitting, Multiscale Modeling & Simulation, vol.4, issue.4, pp.1168-1200, 2005. ,
DOI : 10.1137/050626090
URL : https://hal.archives-ouvertes.fr/hal-00017649
A Primal???Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms, Journal of Optimization Theory and Applications, vol.23, issue.1???2, pp.460-479, 2013. ,
DOI : 10.1007/s10957-012-0245-9
URL : https://hal.archives-ouvertes.fr/hal-00609728
Efficient online and batch learning using forward backward splitting, J. Mach. Learn. Res, vol.10, pp.2899-2934, 2009. ,
The method of stochastic gradients and its application, Seminar: Theory of Optimal Solutions, pp.24-47, 1967. ,
A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science, SIAM Journal on Imaging Sciences, vol.3, issue.4, pp.1015-1046, 2010. ,
DOI : 10.1137/09076934X
Convergence rate of the method of generalized stochastic gradients, Cybernetics, vol.7, issue.4, pp.143-145, 1971. ,
DOI : 10.1007/BF01071048
Convergence Analysis of Primal-Dual Algorithms for a Saddle-Point Problem: From Contraction Perspective, SIAM Journal on Imaging Sciences, vol.5, issue.1, pp.119-149, 2012. ,
DOI : 10.1137/100814494
Playing with Duality: An overview of recent primal?dual approaches for solving large-scale optimization problems, IEEE Signal Processing Magazine, vol.32, issue.6, pp.31-54, 2015. ,
DOI : 10.1109/MSP.2014.2377273
URL : https://hal.archives-ouvertes.fr/hal-01010437
Stochastic Approximation and Recursive Algorithms with Applications, 2003. ,
Mini-Batch Semi-Stochastic Gradient Descent in the Proximal Setting, IEEE Journal of Selected Topics in Signal Processing, vol.10, issue.2, pp.242-255, 2016. ,
DOI : 10.1109/JSTSP.2015.2505682
A sparse system identification by using adaptively-weighted total variation via a primal-dual splitting approach, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing, pp.26-31, 2013. ,
DOI : 10.1109/ICASSP.2013.6638822
A Survey of Stochastic Simulation and Optimization Methods in Signal Processing, IEEE Journal of Selected Topics in Signal Processing, vol.10, issue.2, pp.224-241, 2016. ,
DOI : 10.1109/JSTSP.2015.2496908
URL : https://hal.archives-ouvertes.fr/hal-01312917
A class of randomized primal-dual algorithms for distributed optimization, J. Nonlinear Convex Anal, vol.16, pp.2453-2490, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01077615
A Stochastic Approximation Method, The Annals of Mathematical Statistics, vol.22, issue.3, pp.400-407, 1951. ,
DOI : 10.1214/aoms/1177729586
Convergence of stochastic proximal gradient algorithm, 2014. ,
Stochastic Forward???Backward Splitting for Monotone Inclusions, Journal of Optimization Theory and Applications, vol.76, issue.5, pp.388-406, 2016. ,
DOI : 10.1007/s10957-016-0893-2
A stochastic inertial forwardbackward splitting algorithm for multivariate monotone inclusions ,
DOI : 10.1080/02331934.2015.1127371
URL : http://arxiv.org/abs/1507.00848
Stochastic dual coordinate ascent methods for regularized loss minimization, J. Mach. Learn. Res, vol.14, pp.567-599, 2013. ,
Minimization Methods for Non-Differentiable Functions, 1985. ,
DOI : 10.1007/978-3-642-82118-9
A Proximal Stochastic Gradient Method with Progressive Variance Reduction, SIAM Journal on Optimization, vol.24, issue.4, pp.2057-2075, 2014. ,
DOI : 10.1137/140961791
URL : http://arxiv.org/abs/1403.4699
Acceleration of adaptive proximal forward-backward splitting method and its application to sparse system identification, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.4296-4299, 2011. ,
DOI : 10.1109/ICASSP.2011.5947303
A splitting algorithm for dual monotone inclusions involving cocoercive operators, Adv. Comput. Math, vol.38, pp.667-681, 2013. ,
Adaptive Signal Processing, 1985. ,