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- Title
A PARAMETERIZED THREE-OPERATOR SPLITTING ALGORITHM FOR NON-CONVEX MINIMIZATION PROBLEMS WITH APPLICATIONS.
- Authors
LIUYI MIAO; YUCHAO TANG; CHANGLONG WANG
- Abstract
In this paper, we propose a parameterized three-operator splitting algorithm to solve nonconvex minimization problems with the sum of three non-convex functions, where two of them have Lipschitz continuous gradients. We establish the convergence of the proposed algorithm under the KurdykaŁojasiewicz assumption by constructing a suitable energy function with a non-increasing property. As applications, we employ the proposed algorithm to solve low-rank matrix recovery and image inpainting problems. Numerical results demonstrate the efficiency and effectiveness of the proposed algorithm compared to other algorithms.
- Subjects
PARAMETERIZATION; STOCHASTIC convergence; LIPSCHITZ spaces; NONCONVEX programming; MATHEMATICAL regularization
- Publication
Journal of Nonlinear & Variational Analysis, 2024, Vol 8, Issue 3, p451
- ISSN
2560-6921
- Publication type
Article
- DOI
10.23952/jnva.8.2024.3.07