Results 21 to 30 of about 166,464,526 (278)
An Adaptive Alternating Direction Method of Multipliers
Journal of Optimization Theory and Applications, 2022 AbstractThe alternating direction method of multipliers (ADMM) is a powerful splitting algorithm for linearly constrained convex optimization problems. In view of its popularity and applicability, a growing attention is drawn toward the ADMM in nonconvex settings.
Sedi Bartz, Rubén Campoy, Hung M. Phan
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Low rank alternating direction method of multipliers reconstruction for MR fingerprinting. [PDF]
Magn Reson Med, 2018 The proposed reconstruction framework addresses the reconstruction accuracy, noise propagation and computation time for magnetic resonance fingerprinting.Based on a singular value decomposition of the signal evolution, magnetic resonance fingerprinting ...
Assländer J +5 more
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Alternating Direction Method of Multipliers for Decomposable Saddle-Point Problems [PDF]
, 2022 Saddle-point problems appear in various settings including machine learning, zero-sum stochastic games, and regression problems. We consider decomposable saddle-point problems and study an extension of the alternating direction method of multipliers to ...
Karabag, Mustafa O. +2 more
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Alternating direction method of multipliers for polynomial optimization
2023 European Control Conference (ECC), 2023 Multivariate polynomial optimization is a prevalent model for a number of engineering problems. From a mathematical viewpoint, polynomial optimization is challenging because it is non-convex. The Lasserre's theory, based on semidefinite relaxations, provides an effective tool to overcome this issue and to achieve the global optimum.
V Cerone, S Fosson, S Pirrera, D Regruto
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Alternating direction method of multipliers for the extended trust region subproblem [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2017 The extended trust region subproblem has been the focus of several research recently. Under various assumptions, strong duality and certain SOCP/SDP relaxations have been proposed for several classes of it.
Maziar Salahi, Akram Taati
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A distributed parallel optimization algorithm via alternating direction method of multipliers
IET Control Theory & Applications, 2023 Alternating direction method of multipliers (ADMM) has been widely used for solving the distributed optimisation problems. This paper proposes a novel distributed ADMM algorithm to solve the distributed optimisation problems consisting of convex cost ...
Ziye Liu +3 more
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On the linear convergence of the alternating direction method of multipliers [PDF]
Mathematical Programming, 2016 We analyze the convergence rate of the alternating direction method of multipliers (ADMM) for minimizing the sum of two or more nonsmooth convex separable functions subject to linear constraints. Previous analysis of the ADMM typically assumes that the objective function is the sum of only two convex functions defined on two separable blocks of ...
Hong, Mingyi, Luo, Zhi-Quan
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Alternating Direction Method of Multipliers for Quantization
CoRR, 2020 Quantization of the parameters of machine learning models, such as deep neural networks, requires solving constrained optimization problems, where the constraint set is formed by the Cartesian product of many simple discrete sets. For such optimization problems, we study the performance of the Alternating Direction Method of Multipliers for ...
Tianjian Huang +4 more
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Convergence Analysis of Multiblock Inertial ADMM for Nonconvex Consensus Problem
Journal of Mathematics, 2023 The alternating direction method of multipliers (ADMM) is one of the most powerful and successful methods for solving various nonconvex consensus problem.
Yang Liu, Yazheng Dang
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A parallel multi‐block alternating direction method of multipliers for tensor completion
IET Image Processing, 2021 This paper proposes an algorithm for the tensor completion problem of estimating multi‐linear data under the limitation of observation rate. Many tensor completion methods are based on nuclear norm minimization, they may fail to achieve the global ...
Hu Zhu +5 more
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