We present conditions for the ADMM method to converges to an optimal solution in finite iterations and prove its finite termination under the conditions. In addition, for the problem of representing a univariate trigonometric polynomial as an SOS, we also provide similar conditions for the finite ...
成都理工大学硕士学位论文TheADMMalgorithmanditsapplicationsinspectralunmixingofhyperspectralimagesIntroductionofAuthor:xiaodongzhang,male,wasborninJanuary1987,whosetutorwasProfessorofHuangGuangxin.HegraduatedfromChengduUniversityofTechnologyinCollegeofManagementScience,AppliedMathematicsandwasgrantedtheMasterDegreeinJune,2013....
propose a meta randomized data-sharing scheme and provide its tailored applications in multi-block ADMM and PCG methods in order to enjoy both the benefit from data-sharing and from the efficiency of distributed computing. From the numerical evidences, we are convinced that our algorithms provide g...
An inexact alternating direction method of multiplies (I-ADMM) with an expansion linesearch step was developed for solving a family of separable minimization problems subject to linear constraints, where the objective function is the sum of a smooth but possibly nonconvex function and a possibly nons...
More efforts will be explored to further accelerate the ADMM and also extend its use to other types of traffic assignment related problems.本研究在利用ADMM进行UE并行计算方面迈出了初步的一步。将探索更多的努力,进一步加快ADMM并将其应用于其他类型的交通分配相关问题。 什么是UE问题? The UE condition is...
The parameter selection rule ensures that the convergence of the algorithm and its derivation will be shown in the convergence analysis. Algorithm 1 Parallel Linearized ADMM (PLADMM1) If we update uu behind υυi and utilize Moreau decomposition (5), the auxiliary variables will be removed and ...
Due to its wide applications and simple implementations, the Alternating Direction Method of Multipliers (ADMM) has been extensively investigated by resear... X Chang,J Bai,S Liu 被引量: 0发表: 2018年 A Partition-Based Implementation of the Relaxed ADMM for Distributed Convex Optimization over Lo...
the functions: The function f satisfies assumption 1 if and only if its epigraph epi f = {(x, t) ∈ R n × R| f(x) ≤ t} is a closed nonempty convex set. Assumption 1 implies that the subproblems arising in the x-update (3.2) and z-update (3.3) are solvable, i.e., th...
Among many useful features, one critical feature of the ADMM algorithm is its modular structure, which allows one to plug in any off-the-shelf image denoising algorithm for a subproblem in the ADMM algorithm. Because of the plug-in nature, this type of ADMM algorithms is coined the name "...
Weighted nuclear norm minimization and its applications to low level vision Int. J. Comput. Vis. (2017) LiG. et al. Matrix completion via Schatten capped p norm IEEE Trans. Knowl. Data Eng. (2022)View more references Cited by (4) Incremental quaternion singular value decomposition and its ...