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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, Alejandro Ribeiro
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Alternating Direction Method of Multipliers Network for Bioluminescence Tomography Reconstruction
2021 43rd Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC), 2021Bioluminescence tomography (BLT) is an effective noninvasive molecular imaging modality for three dimensional visualization of in vivo tumor research in small animals. The approaches of deep learning have shown great potential in the field of optical molecular imaging in recent years.
Hongbo, Guo +3 more
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A Note on the Alternating Direction Method of Multipliers
Journal of Optimization Theory and Applications, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Deren, Yuan, Xiaoming
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PhaseEqual: Convex Phase Retrieval via Alternating Direction Method of Multipliers
IEEE Transactions on Signal Processing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin Wang +3 more
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Stochastic alternating direction method of multipliers
2015The alternating direction method of multipliers (ADMM) is an efficient optimization solver for a wide variety of machine learning models. Recently, stochastic ADMM has been integrated with variance reduction methods for stochastic gradient, leading to the SAG-ADMM and SDCA-ADMM algorithms that have fast convergence rates and low iteration complexities.
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Broadcast-based distributed alternating direction method of multipliers
2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2014We consider a multi agent optimization problem where a network of agents collectively solves a global optimization problem with the objective function given by the sum of locally known convex functions. We propose a fully distributed broadcast-based Alternating Direction Method of Multipliers (ADMM), in which each agent broadcasts the outcome of his ...
Ali Makhdoumi, Asuman Ozdaglar
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A Riemannian Alternating Direction Method of Multipliers
Mathematics of Operations ResearchWe consider a class of Riemannian optimization problems where the objective is the sum of a smooth function and a nonsmooth function considered in the ambient space. This class of problems finds important applications in machine learning and statistics, such as sparse principal component analysis, sparse spectral clustering, and orthogonal dictionary ...
Jiaxiang Li +2 more
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Alternating Direction Method of Multipliers for Solving Dictionary Learning Models
Communications in Mathematics and Statistics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Yusheng +2 more
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Stochastic Accelerated Alternating Direction Method of Multipliers with Importance Sampling
Journal of Optimization Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chenxi Chen +3 more
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Emulation Alternating Direction Method of Multipliers
2022 Eighth Indian Control Conference (ICC), 2022Chinmay Routray, Soumya Ranjan Sahoo
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