Výsledky vyhledávání - preconditioning forward-backward splitting algorithm
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A new preconditioning algorithm for finding a zero of the sum of two monotone operators and its application to image restoration problems
ISSN: 0020-7160, 1029-0265Vydáno: Abingdon Taylor & Francis 02.12.2022Vydáno v International journal of computer mathematics (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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Asymmetric forward–backward–adjoint splitting for solving monotone inclusions involving three operators
ISSN: 0926-6003, 1573-2894Vydáno: New York Springer US 01.09.2017Vydáno v Computational optimization and applications (01.09.2017)“…–Rachford and Forward–Backward splitting are special cases of the new algorithm. Asymmetric preconditioning is the main feature of Asymmetric Forward–Backward…”
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Preconditioning in the fast dual forward-backward splitting algorithm
Vydáno: IEEE 01.10.2015Vydáno v 2015 8th International Congress on Image and Signal Processing (CISP) (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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Metric selection in fast dual forward–backward splitting
ISSN: 0005-1098, 1873-2836Vydáno: Elsevier Ltd 01.12.2015Vydáno v Automatica (Oxford) (01.12.2015)“…The performance of fast forward–backward splitting, or equivalently fast proximal gradient methods, depends on the conditioning of the optimization problem data…”
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A Nonlinearly Preconditioned Forward-Backward Splitting Method and Applications
ISSN: 0163-0563, 1532-2467Vydáno: Abingdon Taylor & Francis 30.03.2022Vydáno v Numerical functional analysis and optimization (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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Accelerated forward–backward algorithms for structured monotone inclusions
ISSN: 0926-6003, 1573-2894Vydáno: New York Springer US 01.05.2024Vydáno v Computational optimization and applications (01.05.2024)“…In this paper, we develop rapidly convergent forward–backward algorithms for computing zeroes of the sum of two maximally monotone operators…”
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Preconditioning of a Generalized Forward-Backward Splitting and Application to Optimization on Graphs
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 06.07.2015Vydáno 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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A damped forward-backward algorithm for stochastic generalized Nash equilibrium seeking
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 14.02.2020Vydáno 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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A damped forward-backward algorithm for stochastic generalized Nash equilibrium seeking
Vydáno: EUCA 01.05.2020Vydáno v 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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A note on the forward-Douglas–Rachford splitting for monotone inclusion and convex optimization
ISSN: 1862-4472, 1862-4480Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2019Vydáno 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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Testing and Non-linear Preconditioning of the Proximal Point Method
ISSN: 0095-4616, 1432-0606Vydáno: New York Springer US 01.10.2020Vydáno 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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Testing and non-linear preconditioning of the proximal point method
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 23.08.2018Vydáno 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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A Note on the Forward-Douglas--Rachford Splitting for Monotone Inclusion and Convex Optimization
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 27.04.2018Vydáno 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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