Results 1 to 10 of about 27,500 (171)

A Study on Distributed Optimization over Large-Scale Networked Systems

Journal of Mathematics, 2021
Distributed optimization is a very important concept with applications in control theory and many related fields, as it is high fault-tolerant and extremely scalable compared with centralized optimization.
Hansi K. Abeynanda, G. H. J. Lanel
doaj   +1 more source

Lensless Hyperspectral Phase Retrieval via Alternating Direction Method of Multipliers and Spectral Proximity Operators

Engineering Proceedings, 2023
We consider the application of a recently developed hyperspectral broadband phase retrieval (HSPhR) technique for spectrally varying object and modulation phase masks at 100 spectral components.
Igor Shevkunov, Vladimir Katkovnik, Karen Egiazarian   +2 more
doaj   +1 more source

Feasibility vs. Optimality in Distributed AC OPF - A Case Study Considering ADMM and ALADIN

, 2019
This paper investigates the role of feasible initial guesses and large consensus-violation penalization in distributed optimization for Optimal Power Flow (OPF) problems.
A Engelmann, Alexander Murray, B Houska, BH Kim, BH Kim, DK Molzahn, J Guo, J Nocedal, M Hong, S Boyd, T Erseghe, Y Wang   +11 more
core   +1 more source

Robustification of Continuous-Time ADMM against Communication Delays under Non-Strict Convexity: A Passivity-Based Approach

SICE Journal of Control, Measurement, and System Integration, 2020
In this paper, we address a class of distributed optimization problems with non-strictly convex cost functions in the presence of communication delays between an agent and a coordinator.
Shunya Yamashita, Mengmou Li, Takeshi Hatanaka   +2 more
doaj   +1 more source

An Improved Alternating Direction Method of Multipliers for Matrix Completion

Foundations of Computing and Decision Sciences
Matrix completion is widely used in information science fields such as machine learning and image processing. The alternating direction method of multipliers (ADMM), due to its ability to utilize the separable structure of the objective function, has ...
Yan Xihong, Zhang Ning, Li Hao
doaj   +1 more source

Fast Model Predictive Control Based on Adaptive Alternating Direction Method of Multipliers

Journal of Chemistry, 2019
Model Predictive Control (MPC) can effectively handle control problem with disturbances, multicontrol variables, and complex constraints and is widely used in various control systems.
Yu Li, Qiming Zou, Xiaoru Ji, Chanyuan Zhang, Ke Lu   +4 more
doaj   +1 more source

A regularized alternating direction method of multipliers for a class of nonconvex problems

Journal of Inequalities and Applications, 2019
In this paper, we propose a regularized alternating direction method of multipliers (RADMM) for a class of nonconvex optimization problems. The algorithm does not require the regular term to be strictly convex. Firstly, we prove the global convergence of
Jin Bao Jian, Ye Zhang, Mian Tao Chao
doaj   +1 more source

On the Convergence of Alternating Direction Lagrangian Methods for Nonconvex Structured Optimization Problems

, 2015
Nonconvex and structured optimization problems arise in many engineering applications that demand scalable and distributed solution methods. The study of the convergence properties of these methods is in general difficult due to the nonconvexity of the ...
Fischione, Carlo, Magnússon, Sindri, Rabbat, Michael G., Weeraddana, Pradeep Chathuranga   +3 more
core   +1 more source

An inertial alternating direction method of multipliers

Minimax Theory and its Applications, 2014
In the context of convex optimization problems in Hilbert spaces, we induce inertial effects into the classical ADMM numerical scheme and obtain in this way so-called inertial ADMM algorithms, the convergence properties of which we investigate into detail.
Bot, Radu Ioan, Csetnek, Ernö Robert
openaire   +3 more sources

Total Variation and Signature-Based Regularizations on Coupled Nonnegative Matrix Factorization for Data Fusion

IEEE Access, 2019
As an effective approach to gain the high-spatial-resolution hyperspectral images, data fusion is usually adopted to enhance the spatial resolution of hyperspectral images by the spatial information of multispectral images.
Feixia Yang, Fei Ma, Ziliang Ping, Guixian Xu   +3 more
doaj   +1 more source