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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 65, 2016 - Issue 6
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Articles

A stochastic inertial forward–backward splitting algorithm for multivariate monotone inclusions

Lorenzo RosascoDIBRIS, Università degli Studi di Genova, Genova, Italy.;LCSL, Istituto Italiano di Tecnologia and Massachusetts Institute of Technology, Cambridge, MA, USA.View further author information
,
Silvia VillaLCSL, Istituto Italiano di Tecnologia and Massachusetts Institute of Technology, Cambridge, MA, USA.Correspondence[email protected]
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&
Băng Công VũLCSL, Istituto Italiano di Tecnologia and Massachusetts Institute of Technology, Cambridge, MA, USA.View further author information
Pages 1293-1314 | Received 03 Jul 2015, Accepted 11 Nov 2015, Published online: 08 Jan 2016

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Van Dung Nguyen & Băng Công Vũ. (2023) A stochastic variance reduction algorithm with Bregman distances for structured composite problems. Optimization 72:6, pages 1463-1484.
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Lorenzo Rosasco, Silvia Villa & Bằng Công Vũ. (2017) A First-Order Stochastic Primal-Dual Algorithm with Correction Step. Numerical Functional Analysis and Optimization 38:5, pages 602-626.
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Articles from other publishers (18)

Soumitra Dey. (2022) A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions. Numerical Algorithms 93:1, pages 1-25.
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Van Dung Nguyen & Bắng Công Vũ. (2022) Convergence analysis of the stochastic reflected forward–backward splitting algorithm. Optimization Letters 16:9, pages 2649-2679.
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Shisheng Cui, Uday Shanbhag, Mathias Staudigl & Phan Vuong. (2022) Stochastic relaxed inertial forward-backward-forward splitting for monotone inclusions in Hilbert spaces. Computational Optimization and Applications 83:2, pages 465-524.
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Minh N. Bùi & Patrick L. Combettes. (2022) Multivariate Monotone Inclusions in Saddle Form. Mathematics of Operations Research 47:2, pages 1082-1109.
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Shisheng Cui, Barbara Franci, Sergio Grammatico, Uday V. Shanbhag & Mathias Staudigl. (2021) A relaxed-inertial forward-backward-forward algorithm for stochastic generalized Nash equilibrium seeking. A relaxed-inertial forward-backward-forward algorithm for stochastic generalized Nash equilibrium seeking.
Patrick L. Combettes & Jean-Christophe Pesquet. (2021) Fixed Point Strategies in Data Science. IEEE Transactions on Signal Processing 69, pages 3878-3905.
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Matthieu Terris, Audrey Repetti, Jean-Christophe Pesquet & Yves Wiaux. (2020) Building Firmly Nonexpansive Convolutional Neural Networks. Building Firmly Nonexpansive Convolutional Neural Networks.
Konstantinos Slavakis. (2019) The Stochastic Fejér-Monotone Hybrid Steepest Descent Method and the Hierarchical RLS. IEEE Transactions on Signal Processing 67:11, pages 2868-2883.
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Peng Yi & Lacra Pavel. (2019) An operator splitting approach for distributed generalized Nash equilibria computation. Automatica 102, pages 111-121.
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Gersende Fort, Edouard Ollier & Adeline Samson. (2018) Stochastic proximal-gradient algorithms for penalized mixed models. Statistics and Computing 29:2, pages 231-253.
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E. M. Bednarczuk, A. Jezierska & K. E. Rutkowski. (2018) Proximal primal–dual best approximation algorithm with memory. Computational Optimization and Applications 71:3, pages 767-794.
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Konstantinos Slavakis. (2018) Stochastic Composite Convex Minimization with Affine Constraints. Stochastic Composite Convex Minimization with Affine Constraints.
Junhong Lin, Lorenzo Rosasco, Silvia Villa & Ding-Xuan Zhou. (2017) Modified Fejér sequences and applications. Computational Optimization and Applications 71:1, pages 95-113.
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Zenith Purisha, Juho Rimpeläinen, Tatiana Bubba & Samuli Siltanen. (2018) Controlled wavelet domain sparsity for x-ray tomography. Measurement Science and Technology 29:1, pages 014002.
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Volkan Cevher, Bằng Công Vũ & Alp Yurtsever. 2018. Large-Scale and Distributed Optimization. Large-Scale and Distributed Optimization 149 179 .
Pascal Bianchi & Walid Hachem. (2016) Dynamical Behavior of a Stochastic Forward–Backward Algorithm Using Random Monotone Operators. Journal of Optimization Theory and Applications 171:1, pages 90-120.
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Patrick L. Combettes & Jean-Christophe Pesquet. (2016) Stochastic forward-backward and primal-dual approximation algorithms with application to online image restoration. Stochastic forward-backward and primal-dual approximation algorithms with application to online image restoration.
Lorenzo Rosasco, Silvia Villa & Bang Công Vũ. (2016) Stochastic Forward–Backward Splitting for Monotone Inclusions. Journal of Optimization Theory and Applications 169:2, pages 388-406.
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