Výsledky vyhledávání - Inertial proximal-gradient algorithm
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A proximal-gradient inertial algorithm with Tikhonov regularization: strong convergence to the minimal norm solution
ISSN: 1055-6788, 1029-4937Vydáno: Taylor & Francis 04.07.2025Vydáno v Optimization methods & software (04.07.2025)“…We investigate the strong convergence properties of a proximal-gradient inertial algorithm with two Tikhonov regularization terms in connection with the minimization problem of the sum of a convex…”
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Superiorization methodology and perturbation resilience of inertial proximal gradient algorithm with application to signal recovery
ISSN: 0920-8542, 1573-0484Vydáno: New York Springer US 01.12.2020Vydáno v The Journal of supercomputing (01.12.2020)“… By using inertial technique, we propose a modified proximal gradient algorithm with outer perturbations, and under standard mild conditions, we obtain strong convergence results for finding…”
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Double Inertial Proximal Gradient Algorithms for Convex Optimization Problems and Applications
ISSN: 0252-9602, 1572-9087Vydáno: Singapore Springer Nature Singapore 01.05.2023Vydáno v Acta mathematica scientia (01.05.2023)“…In this paper, we propose double inertial forward-backward algorithms for solving unconstrained minimization problems and projected double inertial forward-backward algorithms for solving constrained…”
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An innovative inertial extra-proximal gradient algorithm for solving convex optimization problems with application to image and signal processing
ISSN: 2405-8440, 2405-8440Vydáno: Elsevier Ltd 01.10.2023Vydáno v Heliyon (01.10.2023)“… The research aims to develop a self-adaptive extra proximal algorithm that incorporates an inertial term to effectively tackle challenges in convex optimization…”
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Smoothing fast proximal gradient algorithm for the relaxation of matrix rank regularization problem
ISSN: 0168-9274, 1873-5460Vydáno: Elsevier B.V 01.08.2023Vydáno v Applied numerical mathematics (01.08.2023)“…This paper proposes a general inertial smoothing proximal gradient algorithm for solving the Capped…”
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A Forward–Backward Algorithm With Different Inertial Terms for Structured Non-Convex Minimization Problems
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.07.2023Vydáno v Journal of optimization theory and applications (01.07.2023)“…We investigate an inertial forward–backward algorithm in connection with the minimization of the sum of a non-smooth and possibly non-convex and a non-convex differentiable function…”
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Faster Than Fast: Accelerating the Griffin-Lim Algorithm
ISSN: 2379-190XVydáno: IEEE 04.06.2023Vydáno v Proceedings of the ... IEEE International Conference on Acoustics, Speech and Signal Processing (1998) (04.06.2023)“… In this paper, we present an accelerated version of the well known Fast Griffin-Lim algorithm (FGLA…”
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A recent proximal gradient algorithm for convex minimization problem using double inertial extrapolations
ISSN: 2473-6988, 2473-6988Vydáno: AIMS Press 01.01.2024Vydáno v AIMS mathematics (01.01.2024)“… Additionally, we apply double inertial extrapolations to enhance the algorithm's convergence rate…”
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An alternating structure-adapted Bregman proximal gradient descent algorithm for constrained nonconvex nonsmooth optimization problems and its inertial variant
ISSN: 0925-5001, 1573-2916Vydáno: New York Springer US 01.09.2023Vydáno v Journal of global optimization (01.09.2023)“… We then adopt an inertial strategy to accelerate the ASABP algorithm…”
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A proximal-gradient inertial algorithm with Tikhonov regularization: strong convergence to the minimal norm solution
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 14.07.2024Vydáno v arXiv.org (14.07.2024)“…We investigate the strong convergence properties of a proximal-gradient inertial algorithm with two Tikhonov regularization terms in connection to the minimization problem of the sum of a convex lower…”
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Inertial Bregman proximal gradient under partial smoothness
ISSN: 1017-1398, 1572-9265Vydáno: 26.07.2025Vydáno v Numerical algorithms (26.07.2025)Získat plný text
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A nonmonotone accelerated proximal gradient method with variable stepsize strategy for nonsmooth and nonconvex minimization problems
ISSN: 0925-5001, 1573-2916Vydáno: New York Springer US 01.08.2024Vydáno v Journal of global optimization (01.08.2024)“… Note that incorporating inertial term into proximal gradient method is a simple and efficient acceleration technique, while the descent property of the proximal gradient algorithm will lost…”
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General inertial smoothing proximal gradient algorithm for the relaxation of matrix rank minimization problem
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 15.04.2022Vydáno v arXiv.org (15.04.2022)“…). Motivated by the inertial techinique, we propose a general inertial smoothing proximal gradient algorithm(GIMSPG…”
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Inertial Bregman Proximal Gradient Algorithm For Nonconvex Problem with Smooth Adaptable Property
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 09.04.2019Vydáno v arXiv.org (09.04.2019)“… We analyze an inertial version of the Bregman Proximal Gradient (BPG) algorithm and prove its stationary convergence…”
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Convex-Concave Backtracking for Inertial Bregman Proximal Gradient Algorithms in Non-Convex Optimization
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 05.11.2019Vydáno v arXiv.org (05.11.2019)“… In case of inertial proximal gradient algorithms, the situation becomes much more difficult and usually leads to very restrictive rules on the extrapolation parameter…”
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Beyond Alternating Updates for Matrix Factorization with Inertial Bregman Proximal Gradient Algorithms
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 06.12.2019Vydáno v arXiv.org (06.12.2019)“…Matrix Factorization is a popular non-convex optimization problem, for which alternating minimization schemes are mostly used. They usually suffer from the…”
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Two-step inertial Bregman alternating structure-adapted proximal gradient descent algorithm for nonconvex and nonsmooth problems
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 07.06.2023Vydáno v arXiv.org (07.06.2023)“… Based on primal-dual method, we construct several iterative algorithms in a way that combines inertial technology and the self-adaptive stepsize such that the implementation of the algorithms doesn't…”
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An Inertial Proximal-Gradient Penalization Scheme for Constrained Convex Optimization Problems
ISSN: 2305-221X, 2305-2228, 2305-2228Vydáno: Singapore Springer Singapore 01.03.2018Vydáno v Vietnam journal of mathematics (01.03.2018)“…We propose a proximal-gradient algorithm with penalization terms and inertial and memory effects for minimizing the sum of a proper, convex, and lower semicontinuous and a convex differentiable…”
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A modified inertial proximal gradient method for minimization problems and applications
ISSN: 2473-6988, 2473-6988Vydáno: AIMS Press 01.01.2022Vydáno v AIMS mathematics (01.01.2022)“…In this paper, the aim is to design a new proximal gradient algorithm by using the inertial technique with adaptive stepsize for solving convex minimization problems and prove convergence…”
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Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods
ISSN: 1615-3375, 1615-3383Vydáno: New York Springer US 01.10.2018Vydáno v Foundations of computational mathematics (01.10.2018)“…In this paper, we study the Kurdyka–Łojasiewicz (KL) exponent, an important quantity for analyzing the convergence rate of first-order methods. Specifically,…”
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