A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus Problems
This article presents a refined iteration of the distributed Bregman alternating direction method of multipliers (ADMM) tailored to tackle nonconvex consensus issues, especially those with multiple blocks. The reliability of this novel approach is established through demonstrating its robust converg...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/9558795 |
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| _version_ | 1832542587199684608 |
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| author | Zhonghui Xue Qianfeng Ma Yazheng Dang |
| author_facet | Zhonghui Xue Qianfeng Ma Yazheng Dang |
| author_sort | Zhonghui Xue |
| collection | DOAJ |
| description | This article presents a refined iteration of the distributed Bregman alternating direction method of multipliers (ADMM) tailored to tackle nonconvex consensus issues, especially those with multiple blocks. The reliability of this novel approach is established through demonstrating its robust convergence under specific conditions. These conditions entail the requirement that the potential function satisfies the Kurdyka–Łojasiewicz property and that the penalty parameter exceeds a predefined constant. Initial numerical trials have shown encouraging outcomes, suggesting notable efficiency enhancements in the refined distributed Bregman ADMM algorithm. |
| format | Article |
| id | doaj-art-7739886121cc42be94dfb3c691dd83e9 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7739886121cc42be94dfb3c691dd83e92025-02-04T00:00:02ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/9558795A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus ProblemsZhonghui Xue0Qianfeng Ma1Yazheng Dang2Department of Information and Intelligent EngineeringSchool of MarxismBusiness SchoolThis article presents a refined iteration of the distributed Bregman alternating direction method of multipliers (ADMM) tailored to tackle nonconvex consensus issues, especially those with multiple blocks. The reliability of this novel approach is established through demonstrating its robust convergence under specific conditions. These conditions entail the requirement that the potential function satisfies the Kurdyka–Łojasiewicz property and that the penalty parameter exceeds a predefined constant. Initial numerical trials have shown encouraging outcomes, suggesting notable efficiency enhancements in the refined distributed Bregman ADMM algorithm.http://dx.doi.org/10.1155/jom/9558795 |
| spellingShingle | Zhonghui Xue Qianfeng Ma Yazheng Dang A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus Problems Journal of Mathematics |
| title | A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus Problems |
| title_full | A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus Problems |
| title_fullStr | A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus Problems |
| title_full_unstemmed | A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus Problems |
| title_short | A Modified Approach to Distributed Bregman ADMM for a Class of Nonconvex Consensus Problems |
| title_sort | modified approach to distributed bregman admm for a class of nonconvex consensus problems |
| url | http://dx.doi.org/10.1155/jom/9558795 |
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