An inertial primal‐dual fixed point algorithm for composite optimization problems

DOI10.1002/mma.8388arXiv1604.05299MaRDI QIDQ6149155

Angang Cui, Yu-Chao Tang, Meng Wen, Ji-Gen Peng

Publication date: 4 March 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.05299

zbMATH Keywords

operator splittingproximity operatorcomposite optimizationinertial algorithm

Mathematics Subject Classification ID

Convex programming (90C25) Optimality conditions and duality in mathematical programming (90C46)

Cites Work

• Unnamed Item
• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• Inertial Douglas-Rachford splitting for monotone inclusion problems
• A primal-dual splitting method for convex optimization involving Lipschitzian, proximable and linear composite terms
• A primal-dual method of partial inverses for composite inclusions
• A unified primal-dual algorithm framework based on Bregman iteration
• An inertial forward-backward algorithm for monotone inclusions
• Image recovery via total variation minimization and related problems
• Denoising with higher order derivatives of bounded variation and an application to parameter estimation
• Introductory lectures on convex optimization. A basic course.
• A first-order primal-dual algorithm for convex problems with applications to imaging
• Proximity algorithms for the L1/TV image denoising model
• Weak convergence of an extended splitting method for monotone inclusions
• A splitting primal-dual proximity algorithm for solving composite optimization problems
• Iterative image restoration combining total variation minimization and a second-order functional
• Fourth-order partial differential equations for noise removal
• A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
• Improved Total Variation-Type Regularization Using Higher Order Edge Detectors
• On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
• High-Order Total Variation-Based Image Restoration
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
• Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space
• Data-Driven Nonsmooth Optimization
• Solving Coupled Composite Monotone Inclusions by Successive Fejér Approximations of their Kuhn--Tucker Set
• A Primal-Dual Splitting Algorithm for Finding Zeros of Sums of Maximal Monotone Operators
• Convex analysis and monotone operator theory in Hilbert spaces

This page was built for publication: An inertial primal‐dual fixed point algorithm for composite optimization problems