In this work, we consider the distributed optimization problem in which each node has its own convex cost function and can communicate directly only with its neighbors, as determined by a directed communication topology (directed graph or digraph). First,
Wei Jiang, Themistoklis Charalambous
semanticscholar +2 more sources
This paper introduces a symmetric version of the generalized alternating direction method of multipliers for two-block separable convex programming with linear equality constraints, which inherits the superiorities of the classical alternating direction ...
Jing Liu, Yongrui Duan, Min Sun
doaj +2 more sources
Convergence analysis on a modified generalized alternating direction method of multipliers
The alternating direction method of multipliers (ADMM) is one of the most powerful and successful methods for solving convex composite minimization problem.
Sha Lu, Zengxin Wei
doaj +2 more sources
The Alternating Direction Method of Multipliers for Sufficient Dimension Reduction
The minimum average variance estimation (MAVE) method has proven to be an effective approach to sufficient dimension reduction. In this study, we apply the computationally efficient optimization algorithm named alternating direction method of multipliers
Sheng Ma, Qin Jiang, Zaiqiang Ku
doaj +2 more sources
Convergence Analysis of Alternating Direction Method of Multipliers for a Class of Separable Convex Programming [PDF]
The purpose of this paper is extending the convergence analysis of Han and Yuan (2012) for alternating direction method of multipliers (ADMM) from the strongly convex to a more general case.
Zehui Jia, Ke Guo, Xingju Cai
doaj +2 more sources
An Improved Alternating Direction Method of Multipliers for Matrix Completion
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 +2 more sources
On the Convergence Analysis of the Alternating Direction Method of Multipliers with Three Blocks [PDF]
We consider a class of linearly constrained separable convex programming problems whose objective functions are the sum of three convex functions without coupled variables. For those problems, Han and Yuan (2012) have shown that the sequence generated by
Caihua Chen, Yuan Shen, Yanfei You
doaj +2 more sources
Communication Efficient Asynchronous ADMM for General Form Consensus Optimization [PDF]
The distributed alternating direction method of multipliers(ADMM) is one of the most widely used methods for solving large-scale machine learning applications.However,most distributed ADMM algorithms are based on full model updates.With the increasing of
WANG Dong-xia, LEI Yong-mei, ZHANG Ze-yu
doaj +1 more source
A parallel algorithm for generating Pareto-optimal radiosurgery treatment plans. [PDF]
Abstract Background Using inverse planning tools to create radiosurgery treatment plans is an iterative process, where clinical trade‐offs are explored by changing the relative importance given to different objectives and rerunning the optimizer until a desirable plan is found.
da Silva J +4 more
europepmc +2 more sources
Hybrid FSK-PSK Waveform Optimization for Radar Based on Alternating Direction Method of Multiplier (ADMM) [PDF]
In this paper, a new radar signal modulated with a hybrid of the frequency shift keying (FSK) and the phase shift keying (PSK) signal—i.e., the FSK-PSK signal—is studied. Different phase encoding sequences are used to modulate the sub-pulses to obtain lower sidelobe levels and ensure signal orthogonality.
Zhiting Fei +4 more
openaire +3 more sources

