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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The Linearized Alternating Direction Method of Multipliers for Dantzig Selector
SIAM Journal of Scientific Computing, 2012The 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 ...
Xiangfeng Wang, Xiaoming Yuan
exaly +4 more sources
Alternating direction method of multipliers for linear hyperspectral unmixing
Mathematical Methods of Operations Research, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu-Hong Dai, Fangfang Xu, Liwei Zhang
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DLM: Decentralized Linearized Alternating Direction Method of Multipliers
IEEE Transactions on Signal Processing, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qing Ling 0001 +3 more
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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
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On Glowinski’s Open Question on the Alternating Direction Method of Multipliers
Journal of Optimization Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min Tao, Xiaoming Yuan 0001
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An alternating direction method of multipliers for the eigenvalue complementarity problem
Optimization Methods and Software, 2020We introduce an Alternating Direction Method of Multipliers (ADMM) for finding a solution of the nonsymmetric Eigenvalue Complementarity Problem (EiCP).
Joaquim João Júdice +4 more
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An inexact proximal generalized alternating direction method of multipliers
Computational Optimization and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vando A. Adona +2 more
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An alternating direction method of multipliers for sparse SAR imaging
2014 22nd Signal Processing and Communications Applications Conference (SIU), 2014In this paper, we present a solution to the constrained 1-norm minimization problem for sparse SAR imaging. The technique we present relies on recent advances in the solution of optimization problems, based on Augmented Lagrangian Methods (ALMs), in particular the Alternating Direction Method of Multipliers.
H. Emre Guven, Müjdat Çetin
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Phase Retrieval via the Alternating Direction Method of Multipliers
IEEE Signal Processing Letters, 2018We derive a phase retrieval algorithm using the alternating direction method of multipliers. For the cost function obtained from the maximum likelihood criterion, we introduce auxiliary amplitude and phase variables to avoid the absolute value operator and decouple the determination of the auxiliary phase variables from that of the auxiliary amplitude ...
Junli Liang +3 more
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