Výsledky vyhledávání - 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 Autor Altiparmak, Ebru, Karahan, Ibrahim

    ISSN: 0020-7160, 1029-0265
    Vydáno: 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 Autor Latafat, Puya, Patrinos, Panagiotis

    ISSN: 0926-6003, 1573-2894
    Vydáno: 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 Autor Liangwu Li, Lizhi Cheng

    Vydáno: 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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  4. 4

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

    ISSN: 0005-1098, 1873-2836
    Vydáno: Elsevier Ltd 01.12.2015
    Vydáno v 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 Autor Vũ, Bă`ng Công, Papadimitriou, Dimitri

    ISSN: 0163-0563, 1532-2467
    Vydáno: 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 Autor Maingé, Paul-Emile, Weng-Law, André

    ISSN: 0926-6003, 1573-2894
    Vydáno: 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 Autor Raguet Hugo, Landrieu Loïc

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 06.07.2015
    Vydáno v 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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  8. 8

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

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 14.02.2020
    Vydáno v 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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  9. 9

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

    Vydáno: EUCA 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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  10. 10

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

    ISSN: 1862-4472, 1862-4480
    Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019
    Vydáno v 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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  11. 11

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

    ISSN: 0095-4616, 1432-0606
    Vydáno: New York Springer US 01.10.2020
    Vydáno v 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 Autor Valkonen, Tuomo

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 23.08.2018
    Vydáno v 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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  13. 13

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

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 27.04.2018
    Vydáno v 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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