Search Results - preconditioning forward-backward splitting algorithm

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  1. 1

    A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problems by Altiparmak, Ebru, Karahan, Ibrahim

    ISSN: 0020-7160, 1029-0265
    Published: Abingdon Taylor & Francis 02.12.2022
    “… The aim of this paper is to present a new preconditioning forward-backward algorithm to obtain the zero of the sum of two operators in which one is maximal monoton and the other one is M-cocoercive…”
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    Journal Article
  2. 2

    Asymmetric forwardbackward–adjoint splitting for solving monotone inclusions involving three operators by Latafat, Puya, Patrinos, Panagiotis

    ISSN: 0926-6003, 1573-2894
    Published: New York Springer US 01.09.2017
    “…–Rachford and ForwardBackward splitting are special cases of the new algorithm. Asymmetric preconditioning is the main feature of Asymmetric ForwardBackward…”
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    Journal Article
  3. 3

    Preconditioning in the fast dual forward-backward splitting algorithm by Liangwu Li, Lizhi Cheng

    Published: IEEE 01.10.2015
    “… We show that the performance of the fast forward-backward splitting algorithm can be significantly improved by preconditioning the problem data and solving the preconditioned problems. Besides, the numerical experiment also shows the improvements by preconditioning the problem data, comparing to the case that no preconditioning is used…”
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    Conference Proceeding
  4. 4

    Metric selection in fast dual forwardbackward splitting by Giselsson, Pontus, Boyd, Stephen

    ISSN: 0005-1098, 1873-2836
    Published: Elsevier Ltd 01.12.2015
    Published in Automatica (Oxford) (01.12.2015)
    “…The performance of fast forwardbackward splitting, or equivalently fast proximal gradient methods, depends on the conditioning of the optimization problem data…”
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    Journal Article
  5. 5

    A Nonlinearly Preconditioned Forward-Backward Splitting Method and Applications by Vũ, Bă`ng Công, Papadimitriou, Dimitri

    ISSN: 0163-0563, 1532-2467
    Published: Abingdon Taylor & Francis 30.03.2022
    “…In this paper, we prove the weak convergence of the iterates generated by the nonlinearly preconditioned forward-backward splitting method for the sum of a maximally hypermonotone operator A and a…”
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    Journal Article
  6. 6

    Accelerated forwardbackward algorithms for structured monotone inclusions by Maingé, Paul-Emile, Weng-Law, André

    ISSN: 0926-6003, 1573-2894
    Published: New York Springer US 01.05.2024
    “…In this paper, we develop rapidly convergent forwardbackward algorithms for computing zeroes of the sum of two maximally monotone operators…”
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    Journal Article
  7. 7

    Preconditioning of a Generalized Forward-Backward Splitting and Application to Optimization on Graphs by Raguet Hugo, Landrieu Loïc

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 06.07.2015
    Published in arXiv.org (06.07.2015)
    “…We present a preconditioning of a generalized forward-backward splitting algorithm for finding a zero of a sum of maximally monotone operators \(\sum_{i=1}^{n} A_i + B\) with \(B…”
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    Paper
  8. 8

    A damped forward-backward algorithm for stochastic generalized Nash equilibrium seeking by Franci, Barbara, Grammatico, Sergio

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 14.02.2020
    Published in arXiv.org (14.02.2020)
    “… Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm by exploiting the forward-backward operator splitting and a suitable preconditioning matrix…”
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    Paper
  9. 9

    A damped forward-backward algorithm for stochastic generalized Nash equilibrium seeking by Franci, Barbara, Grammatico, Sergio

    Published: EUCA 01.05.2020
    Published in 2020 European Control Conference (ECC) (01.05.2020)
    “… Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm by exploiting the forward- backward operator splitting and a suitable preconditioning matrix…”
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    Conference Proceeding
  10. 10

    A note on the forward-Douglas–Rachford splitting for monotone inclusion and convex optimization by Raguet, Hugo

    ISSN: 1862-4472, 1862-4480
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019
    Published in Optimization letters (01.06.2019)
    “…–backward splitting algorithm, initially designed for finding a zero of a sum of an arbitrary number of maximally monotone operators ∑ i = 1 n…”
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    Journal Article
  11. 11

    Testing and Non-linear Preconditioning of the Proximal Point Method by Valkonen, Tuomo

    ISSN: 0095-4616, 1432-0606
    Published: New York Springer US 01.10.2020
    Published in Applied mathematics & optimization (01.10.2020)
    “…Employing the ideas of non-linear preconditioning and testing of the classical proximal point method, we formalise common arguments in convergence rate and convergence proofs of optimisation methods…”
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    Journal Article
  12. 12

    Testing and non-linear preconditioning of the proximal point method by Valkonen, Tuomo

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 23.08.2018
    Published in arXiv.org (23.08.2018)
    “…Employing the ideas of non-linear preconditioning and testing of the classical proximal point method, we formalise common arguments in convergence rate and convergence proofs of optimisation methods…”
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    Paper
  13. 13

    A Note on the Forward-Douglas--Rachford Splitting for Monotone Inclusion and Convex Optimization by Raguet, Hugo

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 27.04.2018
    Published in arXiv.org (27.04.2018)
    “…-point algorithm proposed by us as a generalization of the forward-backward splitting algorithm, initially designed for finding a zero…”
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    Paper