Search Results - 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, 1029-4937Published: Taylor & Francis 04.07.2025Published in 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, 1573-0484Published: New York Springer US 01.12.2020Published in 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, 1572-9087Published: Singapore Springer Nature Singapore 01.05.2023Published in 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, 2405-8440Published: Elsevier Ltd 01.10.2023Published in 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, 1873-5460Published: Elsevier B.V 01.08.2023Published in 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, 1573-2878Published: New York Springer US 01.07.2023Published in 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: 2379-190XPublished: IEEE 04.06.2023Published in 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, 2473-6988Published: AIMS Press 01.01.2024Published in 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, 1573-2916Published: New York Springer US 01.09.2023Published in Journal of global optimization (01.09.2023)“…) gradient descent algorithm, where the geometry of the abstract set and the function is captured by employing generalized Bregman function…”
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A proximal-gradient inertial algorithm with Tikhonov regularization: strong convergence to the minimal norm solution
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 14.07.2024Published in 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, 1572-9265Published: 26.07.2025Published in Numerical algorithms (26.07.2025)Get full text
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General inertial smoothing proximal gradient algorithm for the relaxation of matrix rank minimization problem
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 15.04.2022Published in arXiv.org (15.04.2022)“…). Motivated by the inertial techinique, we propose a general inertial smoothing proximal gradient algorithm(GIMSPG…”
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A nonmonotone accelerated proximal gradient method with variable stepsize strategy for nonsmooth and nonconvex minimization problems
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.08.2024Published in 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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Inertial Bregman Proximal Gradient Algorithm For Nonconvex Problem with Smooth Adaptable Property
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 09.04.2019Published in 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: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 05.11.2019Published in 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: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 06.12.2019Published in arXiv.org (06.12.2019)“… A remedy is non-alternating schemes. However, due to a lack of Lipschitz continuity of the gradient in matrix factorization problems, convergence cannot be guaranteed…”
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Two-step inertial Bregman alternating structure-adapted proximal gradient descent algorithm for nonconvex and nonsmooth problems
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 07.06.2023Published in 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, 2305-2228Published: Singapore Springer Singapore 01.03.2018Published in 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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Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods
ISSN: 1615-3375, 1615-3383Published: New York Springer US 01.10.2018Published in 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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Inertial self-adaptive algorithms for solving non-smooth convex optimization problems
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.01.2025Published in Numerical algorithms (01.01.2025)“… Firstly, we propose a self-adaptive proximal gradient algorithm with an inertial step. Under reasonable parameters, the strong convergence theorem is established…”
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