A parameterized Douglas-Rachford splitting algorithm for nonconvex optimization
DOI10.1016/j.amc.2021.126425OpenAlexW3175936473MaRDI QIDQ2245040
Publication date: 12 November 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.05544
global convergencenonconvex optimization problemsfeasibility problemlow rank matrix completionparameterized Douglas-Rachford splitting methodsparsity constrained least squares problem
Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Matrix completion problems (15A83)
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Cites Work
- Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems
- Recent results on Douglas-Rachford methods for combinatorial optimization problems
- A new projection method for finding the closest point in the intersection of convex sets
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- On the convergence of von Neumann's alternating projection algorithm for two sets
- Peaceman-Rachford splitting for a class of nonconvex optimization problems
- Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
- A parameterized Douglas-Rachford algorithm
- Exact matrix completion via convex optimization
- Linear convergence of the Douglas–Rachford method for two closed sets
- On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method
- A Singular Value Thresholding Algorithm for Matrix Completion
- Tensor completion and low-n-rank tensor recovery via convex optimization
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility
- On Projection Algorithms for Solving Convex Feasibility Problems
- Douglas--Rachford Splitting and ADMM for Nonconvex Optimization: Tight Convergence Results
- Adaptive Douglas--Rachford Splitting Algorithm for the Sum of Two Operators
- Regularization and Variable Selection Via the Elastic Net
- Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems
- Sparse Approximation via Penalty Decomposition Methods
- The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
- Convex analysis and monotone operator theory in Hilbert spaces
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