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An Improved Alternating Direction Method of Multipliers for Matrix Completion Cover

An Improved Alternating Direction Method of Multipliers for Matrix Completion

By: Xihong Yan,  Ning Zhang and  Hao Li  
Open Access
|Feb 2024

Abstract

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 become an extremely popular approach for solving this problem. But its subproblems can be computationally demanding. In order to improve computational e ciency, for large scale matrix completion problems, this paper proposes an improved ADMM by using convex combination technique. Under certain assumptions, the global convergence of the new algorithm is proved. Finally, we demonstrate the performance of the proposed algorithms via numerical experiments.

DOI: https://doi.org/10.2478/fcds-2024-0004 | Journal eISSN: 2300-3405 | Journal ISSN: 0867-6356
Language: English
Page range: 49 - 62
Submitted on: May 4, 2023
Accepted on: Nov 16, 2023
Published on: Feb 16, 2024
Published by: Poznan University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2024 Xihong Yan, Ning Zhang, Hao Li, published by Poznan University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.