Convergence of multi-block Bregman ADMM for nonconvex composite problems

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Wang, Fenghui, et al. “Convergence of Multi-Block Bregman ADMM for Nonconvex Composite Problems”. Science China Information Sciences, vol. 61, no. 12, 2018, https://doi.org/10.1007/s11432-017-9367-6.
Wang, F., Cao, W., & Xu, Z. (2018). Convergence of multi-block Bregman ADMM for nonconvex composite problems. Science China Information Sciences, 61(12). https://doi.org/10.1007/s11432-017-9367-6
Wang, Fenghui, Wenfei Cao, and Zongben Xu. “Convergence of Multi-Block Bregman ADMM for Nonconvex Composite Problems”. Science China Information Sciences 61, no. 12 (2018). https://doi.org/10.1007/s11432-017-9367-6.
Wang F, Cao W, Xu Z. Convergence of multi-block Bregman ADMM for nonconvex composite problems. Science China Information Sciences. 2018;61(12).
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Refrences
Title Journal Journal Categories Citations Publication Date
On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function Computational Optimization and Applications
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 58 2017
The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent Mathematical Programming
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 369 2016
Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems SIAM Journal on Optimization
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 385 2016
10.1142/S0217595915500244 2015
Global Convergence of Splitting Methods for Nonconvex Composite Optimization SIAM Journal on Optimization
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 201 2015
Refrences Analysis
Category Category Repetition
Science: Mathematics5
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
Technology: Engineering (General). Civil engineering (General)4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics3
Science: Mathematics: Instruments and machines: Electronic computers. Computer science2
Science: Science (General): Cybernetics: Information theory2
Technology: Mechanical engineering and machinery2
Technology: Manufactures: Production management. Operations management1
The category Science: Mathematics 5 is the most frequently represented among the references in this article. It primarily includes studies from SIAM Journal on Optimization and IEEE Transactions on Knowledge and Data Engineering. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
A partial Bregman ADMM with a general relaxation factor for structured nonconvex and nonsmooth optimization Journal of Global Optimization
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 2024
A class of accelerated GADMM-based method for multi-block nonconvex optimization problems Numerical Algorithms
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
A Bregman-Style Improved ADMM and its Linearized Version in the Nonconvex Setting: Convergence and Rate Analyses Journal of the Operations Research Society of China
  • Technology: Manufactures: Production management. Operations management
 2024
Low-rank matrix recovery problem minimizing a new ratio of two norms approximating the rank function then using an ADMM-type solver with applications Journal of Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Low-tubal-rank tensor completion via local and nonlocal knowledge Information Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Information technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication
  • Science: Science (General): Cybernetics: Information theory
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 1 2024
Citations Analysis
Category Category Repetition
Science: Mathematics23
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods22
Technology: Engineering (General). Civil engineering (General)17
Science: Mathematics: Instruments and machines: Electronic computers. Computer science14
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks12
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics12
Technology: Manufactures: Production management. Operations management11
Science: Science (General): Cybernetics: Information theory8
Technology: Electrical engineering. Electronics. Nuclear engineering: Telecommunication6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software6
Technology: Photography4
Technology: Technology (General): Industrial engineering. Management engineering: Information technology4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware4
Technology: Mechanical engineering and machinery4
Science: Geology3
Geography. Anthropology. Recreation: Geography (General)3
Technology: Electrical engineering. Electronics. Nuclear engineering2
Technology: Electrical engineering. Electronics. Nuclear engineering: Production of electric energy or power. Powerplants. Central stations2
Technology: Mechanical engineering and machinery: Renewable energy sources2
Social Sciences: Industries. Land use. Labor: Special industries and trades: Energy industries. Energy policy. Fuel trade2
Technology: Environmental technology. Sanitary engineering2
Science: Physics1
Science1
Geography. Anthropology. Recreation: Environmental sciences1
Technology: Electrical engineering. Electronics. Nuclear engineering: Nuclear engineering. Atomic power1
Technology: Engineering (General). Civil engineering (General): Transportation engineering1
Science: Science (General)1
Science: Physics: Acoustics. Sound1
Science: Physics: Optics. Light1
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics1
Medicine: Medicine (General): Computer applications to medicine. Medical informatics1
Science: Biology (General)1
Medicine: Internal medicine: Neurosciences. Biological psychiatry. Neuropsychiatry1
The category Science: Mathematics 23 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A Scale-Invariant Approach for Sparse Signal Recovery and was published in 2019. The most recent citation comes from a 2024 study titled A class of accelerated GADMM-based method for multi-block nonconvex optimization problems. This article reached its peak citation in 2023, with 15 citations. It has been cited in 42 different journals, 11% of which are open access. Among related journals, the Journal of Computational and Applied Mathematics cited this research the most, with 6 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year