Výsledky vyhledávání - proximal-gradient algorithm*
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Proximal Gradient Algorithms Under Local Lipschitz Gradient Continuity: A Convergence and Robustness Analysis of PANOC
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.09.2022Vydáno v Journal of optimization theory and applications (01.09.2022)“…), namely accelerated linesearch algorithms requiring only the simple oracle of proximal gradient…”
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Generalized Nesterov’s accelerated proximal gradient algorithms with convergence rate of order o(1/k2)
ISSN: 0926-6003, 1573-2894Vydáno: New York Springer US 01.11.2022Vydáno v Computational optimization and applications (01.11.2022)“… ) . In this paper, we present two generalized variants of Nesterov’s accelerated proximal gradient method for solving composition convex optimization problems in which the…”
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Majorization-Minimization Bregman Proximal Gradient Algorithms for NMF with the Kullback–Leibler Divergence
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer Nature B.V 01.01.2026Vydáno v Journal of optimization theory and applications (01.01.2026)“… In this paper, we propose new algorithms, called majorization-minimization Bregman proximal gradient algorithm (MMBPG…”
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A smoothing proximal gradient algorithm with extrapolation for the relaxation of ℓ0 regularization problem
ISSN: 0926-6003, 1573-2894Vydáno: New York Springer US 01.04.2023Vydáno v Computational optimization and applications (01.04.2023)“… (SIAM J Numer Anal 58:858–883, 2020) and propose a smoothing proximal gradient algorithm with extrapolation (SPGE…”
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Distributed proximal‐gradient algorithms for nonsmooth convex optimization of second‐order multiagent systems
ISSN: 1049-8923, 1099-1239Vydáno: Bognor Regis Wiley Subscription Services, Inc 25.11.2020Vydáno v International journal of robust and nonlinear control (25.11.2020)“…‐gradient algorithms with derivative feedback are proposed to solve the nonsmooth convex optimization for the consensus and resource allocation of multiagent systems, respectively…”
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Solving constrained nonsmooth group sparse optimization via group Capped-ℓ1 relaxation and group smoothing proximal gradient algorithm
ISSN: 0926-6003, 1573-2894Vydáno: New York Springer US 01.12.2022Vydáno v Computational optimization and applications (01.12.2022)“…In this paper, we study the constrained group sparse regularization optimization problem, where the loss function is convex but nonsmooth, and the penalty term…”
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Stochastic proximal-gradient algorithms for penalized mixed models
ISSN: 0960-3174, 1573-1375Vydáno: New York Springer US 01.03.2019Vydáno v Statistics and computing (01.03.2019)“… can be approximated by a Monte Carlo technique. We propose a new algorithm based on a stochastic approximation of the proximal-gradient (PG) algorithm…”
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Convergence of Stochastic Proximal Gradient Algorithm
ISSN: 0095-4616, 1432-0606Vydáno: New York Springer US 01.12.2020Vydáno v Applied mathematics & optimization (01.12.2020)“…We study the extension of the proximal gradient algorithm where only a stochastic gradient estimate is available and a relaxation step is allowed…”
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A Proximal Gradient Algorithm for Decentralized Composite Optimization
ISSN: 1053-587X, 1941-0476Vydáno: IEEE 15.11.2015Vydáno v IEEE transactions on signal processing (15.11.2015)“… We propose a proximal gradient exact first-order algorithm (PG-EXTRA) that utilizes the composite structure and has the best known convergence rate…”
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Decentralized Proximal Gradient Algorithms With Linear Convergence Rates
ISSN: 0018-9286, 1558-2523Vydáno: New York IEEE 01.06.2021Vydáno v IEEE transactions on automatic control (01.06.2021)“…) for the class of algorithms that uses the gradients and the proximal mappings of the smooth and nonsmooth parts, respectively…”
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Online Learning Over Dynamic Graphs via Distributed Proximal Gradient Algorithm
ISSN: 0018-9286, 1558-2523Vydáno: New York IEEE 01.11.2021Vydáno v IEEE transactions on automatic control (01.11.2021)“… nondifferentiable regularization penalties. The proposed proximal online gradient descent algorithm is built to run in a fully decentralized manner and utilizes consensus updates over possibly disconnected graphs…”
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Unmatched Preconditioning of the Proximal Gradient Algorithm
ISSN: 1070-9908, 1558-2361Vydáno: New York IEEE 2022Vydáno v IEEE signal processing letters (2022)“…This work addresses the resolution of penalized least-squares problems using the proximal gradient algorithm (PGA…”
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A general double-proximal gradient algorithm for d.c. programming
ISSN: 0025-5610, 1436-4646, 1436-4646Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2019Vydáno v Mathematical programming (01.11.2019)“… In this paper we propose an algorithm which allows the evaluation of both the concave and the convex part by their proximal points…”
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Approximate bregman proximal gradient algorithm for relatively smooth nonconvex optimization
ISSN: 0926-6003, 1573-2894Vydáno: New York Springer US 01.01.2025Vydáno v Computational optimization and applications (01.01.2025)“…In this paper, we propose the approximate Bregman proximal gradient algorithm (ABPG) for solving composite nonconvex optimization problems…”
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Proximal gradient algorithm with dual momentum for robust compressive sensing MRI
ISSN: 0165-1684Vydáno: Elsevier B.V 01.05.2025Vydáno v Signal processing (01.05.2025)“… with excellent performance. To achieve accelerated and robust CS-MRI reconstruction, a novel combination of Proximal Gradient (PG…”
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Proximal gradient nonconvex optimization algorithm for the slice-based ℓ0-constrained convolutional dictionary learning
ISSN: 0950-7051, 1872-7409Vydáno: Elsevier B.V 25.01.2023Vydáno v Knowledge-based systems (25.01.2023)“…Convolutional dictionary learning (CDL) aims to learn a structured local convolutional dictionary and the sparse coefficient maps from the signals of various…”
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Proximal gradient algorithm with trust region scheme on Riemannian manifold
ISSN: 0925-5001, 1573-2916Vydáno: New York Springer US 01.04.2024Vydáno v Journal of global optimization (01.04.2024)“… We develop a Riemannian proximal gradient algorithm with a trust region scheme for the problem…”
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On the Proximal Gradient Algorithm with Alternated Inertia
ISSN: 0022-3239, 1573-2878Vydáno: New York Springer US 01.03.2018Vydáno v Journal of optimization theory and applications (01.03.2018)“…In this paper, we investigate attractive properties of the proximal gradient algorithm with inertia…”
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An accelerated preconditioned proximal gradient algorithm with a generalized Nesterov momentum for PET image reconstruction
ISSN: 0266-5611Vydáno: England 30.04.2025Vydáno v Inverse problems (30.04.2025)“…This paper presents an accelerated preconditioned proximal gradient algorithm (APPGA) for effectively solving a class of positron emission tomography…”
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A smoothing proximal gradient algorithm for matrix rank minimization problem
ISSN: 0926-6003, 1573-2894Vydáno: New York Springer US 01.03.2022Vydáno v Computational optimization and applications (01.03.2022)“… Then the smoothing proximal gradient (SPG) algorithm is proposed to find a lifted stationary point of the continuous relaxation model. Moreover, it is shown that any accumulating point of the sequence generated by SPG algorithm is a lifted stationary point. At last, numerical examples show the efficiency of the SPG algorithm…”
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