Search Results - Proximal linearized algorithm
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Global convergence of a proximal linearized algorithm for difference of convex functions
ISSN: 1862-4472, 1862-4480Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2016Published in Optimization letters (01.10.2016)“…A proximal linearized algorithm for minimizing difference of two convex functions is proposed…”
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Riemannian linearized proximal algorithms for nonnegative inverse eigenvalue problem
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.12.2023Published in Numerical algorithms (01.12.2023)“… Then we develop a scheme of the Riemannian linearized proximal algorithm (R-LPA) to solve the NIEP. Under some mild conditions, the local and global convergence results of the R-LPA for the NIEP are established, respectively…”
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A generalized proximal linearized algorithm for DC functions with application to the optimal size of the firm problem
ISSN: 0254-5330, 1572-9338Published: New York Springer US 01.06.2020Published in Annals of operations research (01.06.2020)“…The purpose of this paper is twofold. First, we examine convergence properties of an inexact proximal point method with a quasi distance as a regularization term in order to find a critical point…”
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Linearized Proximal Algorithms with Adaptive Stepsizes for Convex Composite Optimization with Applications
ISSN: 0095-4616, 1432-0606Published: New York Springer US 01.06.2023Published in Applied mathematics & optimization (01.06.2023)“…We propose an inexact linearized proximal algorithm with an adaptive stepsize, together with its globalized version based on the backtracking line-search, to solve a convex composite optimization problem…”
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An inexact proximal linearized DC algorithm with provably terminating inner loop
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 19.05.2025Published in Optimization (19.05.2025)“… Exploiting the notion of ϵ-subdifferential, we propose a novel inexact proximal linearized DC algorithm termed tPLDCA…”
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Split proximal linearized algorithm and convergence theorems for the split DC program
ISSN: 1029-242X, 1025-5834, 1029-242XPublished: Cham Springer International Publishing 22.05.2019Published in Journal of inequalities and applications (22.05.2019)“…In this paper, we study the split DC program by using the split proximal linearized algorithm…”
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Hybrid proximal linearized algorithm for the split DC program in infinite-dimensional real Hilbert spaces
ISSN: 1029-242X, 1025-5834, 1029-242XPublished: Cham Springer International Publishing 2018Published in Journal of inequalities and applications (2018)“… In this paper, to study the split DC program, we give a hybrid proximal linearized algorithm and propose related convergence theorems in the settings of finite- and infinite-dimensional real Hilbert…”
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A stochastic two-step inertial Bregman proximal alternating linearized minimization algorithm for nonconvex and nonsmooth problems
ISSN: 1017-1398, 1572-9265Published: New York Springer US 01.09.2024Published in Numerical algorithms (01.09.2024)“…In this paper, for solving a broad class of large-scale nonconvex and nonsmooth optimization problems, we propose a stochastic two-step inertial Bregman proximal alternating linearized minimization (STiBPALM…”
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An improved proximal alternating linearized minimization algorithm and its inertial Bregman extension for structured nonconvex nonsmooth optimization problems on Riemannian manifold
ISSN: 0377-0427Published: Elsevier B.V 01.02.2026Published in Journal of computational and applied mathematics (01.02.2026)“… By exploiting problem’s composite structure, we propose an improved version of the proximal alternating linearized minimization method…”
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Proximal Alternating Linearized Minimization Algorithm for Sparse Tensor Train Decomposition
ISSN: 2311-004X, 2310-5070Published: 10.03.2025Published in Statistics, optimization & information computing (10.03.2025)“… To improve numerical stability, orthogonality constraints are imposed on the problem. The tensor is expressed in the TT format, and the proximal alternating linearized minimization (PALM…”
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PALMNUT: An Enhanced Proximal Alternating Linearized Minimization Algorithm With Application to Separate Regularization of Magnitude and Phase
ISSN: 2573-0436, 2333-9403, 2333-9403Published: United States IEEE 2021Published in IEEE transactions on computational imaging (2021)“… In this work, we first describe a novel implementation of the previous proximal alternating linearized minimization (PALM…”
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Linearized proximal alternating minimization algorithm for motion deblurring by nonlocal regularization
ISSN: 0031-3203, 1873-5142Published: Kidlington Elsevier Ltd 01.06.2011Published in Pattern recognition (01.06.2011)“… By using the linearization of the fidelity term and the proximal function, our proposed algorithm does not require any inversion of blurring operator and nonlocal operator…”
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13
On the rate of convergence of the proximal alternating linearized minimization algorithm for convex problems
ISSN: 2192-4406, 2192-4414Published: Berlin/Heidelberg Elsevier Ltd 01.02.2016Published in EURO journal on computational optimization (01.02.2016)“…We analyze the proximal alternating linearized minimization algorithm (PALM) for solving non-smooth convex minimization problems where the objective function…”
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Proximal Linearized Iteratively Reweighted Algorithms for Nonconvex and Nonsmooth Optimization Problem
ISSN: 2075-1680, 2075-1680Published: Basel MDPI AG 01.05.2022Published in Axioms (01.05.2022)“… The algorithm-based reweighted step has been widely used in many applications. In this paper, we propose a new, extended version of the iterative convex majorization…”
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An Inexact Proximal Linearized DC Algorithm with Provably Terminating Inner Loop
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 16.09.2025Published in arXiv.org (16.09.2025)“… Exploiting the notion of \(\epsilon\)-subdifferential, we propose a novel inexact proximal linearized DC algorithm termed tPLDCA…”
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Proximal linearized alternating direction method of multipliers algorithm for nonconvex image restoration with impulse noise
ISSN: 1751-9659, 1751-9667Published: Wiley 01.12.2023Published in IET image processing (01.12.2023)“… In this paper, an efficient iterative algorithm is proposed to solve nonconvex models arising in impulse noise…”
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Proximal alternating linearized minimization for nonconvex and nonsmooth problems
ISSN: 0025-5610, 1436-4646Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2014Published in Mathematical programming (01.08.2014)“…We introduce a proximal alternating linearized minimization (PALM) algorithm for solving a broad class of nonconvex and nonsmooth minimization problems…”
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Sparse Non-negative Matrix Factorization Algorithm Based on Proximal Alternating Linearized Minimization
ISSN: 1000-3428Published: Editorial Office of Computer Engineering 01.02.2019Published in Ji suan ji gong cheng (01.02.2019)“…This paper combinessparsity constraint and Proximal Alternating Linearized Minimization…”
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Incremental quaternion singular value decomposition and its application for low rank quaternion matrix completion
ISSN: 2238-3603, 1807-0302Published: Cham Springer International Publishing 01.09.2024Published in Computational & applied mathematics (01.09.2024)“… What’s more, based on IQSVD, we consider the low rank quaternion matrix completion problem and design a proximal linearized minimization algorithm with convergence guarantee to solve…”
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A Gauss–Seidel type inertial proximal alternating linearized minimization for a class of nonconvex optimization problems
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.04.2020Published in Journal of global optimization (01.04.2020)“…–Seidel type inertial proximal alternating linearized minimization (GiPALM) algorithm. Under the assumption that the underlying functions satisfy the Kurdyka–Łojasiewicz (KL…”
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