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A Note on the Alternating Direction Method of Multipliers
Journal of Optimization Theory and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deren Han, Xiaoming Yuan
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The Linearized Alternating Direction Method of Multipliers for Dantzig Selector
SIAM Journal of Scientific Computing, 2012 The Dantzig selector was recently proposed to perform variable selection and model fitting in the linear regression model. It can be solved numerically by the alternating direction method of multipliers (ADM); and in this paper, we show that the application of ADM to the Dantzig selector can be speeded up significantly if one of its resulting ...
Xiaoming Yuan, Xiangfeng Wang
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An Accelerated Linearized Alternating Direction Method of Multipliers [PDF]
SIAM Journal on Imaging Sciences, 2015 We present a novel framework, namely AADMM, for acceleration of linearized alternating direction method of multipliers (ADMM). The basic idea of AADMM is to incorporate a multi-step acceleration scheme into linearized ADMM. We demonstrate that for solving a class of convex composite optimization with linear constraints, the rate of convergence of AADMM
Guanghui Lan +2 more
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Alternating Direction Method of Multipliers for Linear Inverse Problems [PDF]
SIAM Journal on Numerical Analysis, 2016 In this paper we propose an iterative method using alternating direction method of multipliers (ADMM) strategy to solve linear inverse problems in Hilbert spaces with general convex penalty term. When the data is given exactly, we give a convergence analysis of our ADMM algorithm without assuming the existence of Lagrange multiplier.
Qinian Jin, Xiliang Lu, Jiao Yuling
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Accelerated Alternating Direction Method of Multipliers
Proceedings of the 21th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2015Recent years have seen a revival of interest in the Alternating Direction Method of Multipliers (ADMM), due to its simplicity, versatility, and scalability. As a first order method for general convex problems, the rate of convergence of ADMM is O(1=k) [4, 25].
Mojtaba Kadkhodaie +3 more
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Applied Energy, 2019 State estimation is a statistical method used to obtain accurate estimates of system operating states. It has been used to provide essential operating data for analysis, control and optimization in various energy supply systems.
Zhigang Li, Xiaoxin Zhou, Q H Wu
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Fast Consensus by the Alternating Direction Multipliers Method
IEEE Transactions on Signal Processing, 2011The alternating direction multipliers method (ADMM) has been recently proposed as a practical and efficient algorithm for distributed computing. We discuss its applicability to the average consensus problem in this paper. By carefully relaxing ADMM augmentation coefficients we are able to analytically investigate its properties, and to propose simple ...
ERSEGHE, TOMASO +3 more
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A Linearized Alternating Direction Method of Multipliers with Substitution Procedure [PDF]
Asia-Pacific Journal of Operational Research, 2015 We consider the linearly constrained separable convex programming problem whose objective function is separable into m individual convex functions with non-overlapping variables. The alternating direction method of multipliers (ADMM) has been well studied in the literature for the special case m = 2, but the direct extension of ADMM for the general ...
Miantao Chao +2 more
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Decentralized linearized alternating direction method of multipliers
2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2014This paper develops a decentralized linearized alternating direction method of multipliers (LADMM) that minimizes the sum of local cost functions in a multi-agent network. Through linearizing the local cost functions agents can obtain their local solutions with simple algebraic operations and gradient descent steps. We prove that the algorithm linearly
Qing Ling 0001, Alejandro Ribeiro
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An alternating direction method of multipliers for tensor complementarity problems
Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haoran Zhu, Liping Zhang 0008
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