A new convergence analysis and perturbation resilience of some accelerated proximal forward–backward algorithms with errors
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Publication:5346620
DOI10.1088/1361-6420/33/4/044001zbMath1397.90363arXiv1508.05631OpenAlexW1908006783MaRDI QIDQ5346620
Daniel Reem, Alvaro Rodolfo de Pierro
Publication date: 26 May 2017
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.05631
minimization problemdecay ratesuperiorizationerror termsinexactnessFISTAaccelerated proximal forward-backward algorithm
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- Smooth minimization of non-smooth functions
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- An inexact dual fast gradient-projection method for separable convex optimization with linear coupled constraints
- Subgradient projection algorithms and approximate solutions of convex feasibility problems
- Fast alternating linearization methods for minimizing the sum of two convex functions
- First-order methods of smooth convex optimization with inexact oracle
- Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methods
- Convergence of a proximal-like algorithm in the presence of computational errors
- Fixed point and Bregman iterative methods for matrix rank minimization
- Approximation accuracy, gradient methods, and error bound for structured convex optimization
- Primal-dual first-order methods with \({\mathcal {O}(1/\varepsilon)}\) iteration-complexity for cone programming
- Maximal monotone operators and the proximal point algorithm in the presence of computational errors
- Enhancing sparsity by reweighted \(\ell _{1}\) minimization
- Subgradient projection algorithms for convex feasibility problems in the presence of computational errors
- Inexact accelerated augmented Lagrangian methods
- Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
- A finitely convergent ``row-action method for the convex feasibility problem
- Approximate iterations in Bregman-function-based proximal algorithms
- Coupling the proximal point algorithm with approximation methods
- A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator
- On the convergence of inexact two-point Newton-like methods on Banach spaces
- A proximal point method for nonsmooth convex optimization problems in Banach spaces
- An accelerated inexact proximal point algorithm for convex minimization
- Fine tuning Nesterov's steepest descent algorithm for differentiable convex programming
- Projected subgradient minimization versus superiorization
- An inexact and nonmonotone proximal method for smooth unconstrained minimization
- Strict Fejér monotonicity by superiorization of feasibility-seeking projection methods
- An inexact hybrid projection-proximal point algorithm for solving generalized mixed variational inequalities
- Stability of a turnpike phenomenon for approximate solutions of nonautonomous discrete-time optimal control systems
- Asymptotic behavior of inexact infinite products of nonexpansive mappings in metric spaces
- An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
- INEXACT VERSIONS OF PROXIMAL POINT AND AUGMENTED LAGRANGIAN ALGORITHMS IN BANACH SPACES
- A UNIFIED FRAMEWORK FOR SOME INEXACT PROXIMAL POINT ALGORITHMS*
- An Accelerated Hybrid Proximal Extragradient Method for Convex Optimization and Its Implications to Second-Order Methods
- Accelerated and Inexact Forward-Backward Algorithms
- Optimization with Sparsity-Inducing Penalties
- Three Strong Convergence Theorems Regarding Iterative Methods for Solving Equilibrium Problems in Reflexive Banach Spaces
- Projection Methods: Swiss Army Knives for Solving Feasibility and Best Approximation Problems with Halfspaces
- Feasibility-Seeking and Superiorization Algorithms Applied to Inverse Treatment Planning in Radiation Therapy
- A Singular Value Thresholding Algorithm for Matrix Completion
- Convergence of a Proximal Point Method in the Presence of Computational Errors in Hilbert Spaces
- Inexact Infinite Products of Nonexpansive Mappings
- Image reconstruction from a small number of projections
- Perturbation‐resilient block‐iterative projection methods with application to image reconstruction from projections
- Perturbation resilience and superiorization of iterative algorithms
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- Interior-Point Method for Nuclear Norm Approximation with Application to System Identification
- A Class of Inexact Variable Metric Proximal Point Algorithms
- Inexact Newton Methods
- Monotone Operators and the Proximal Point Algorithm
- A Variable Metric Proximal Point Algorithm for Monotone Operators
- Inexact Variants of the Proximal Point Algorithm without Monotonicity
- On inexact generalized proximal methods with a weakened error tolerance criterion
- Solving monotone inclusions via compositions of nonexpansive averaged operators
- On Projection Algorithms for Solving Convex Feasibility Problems
- Iteration-Complexity of a Newton Proximal Extragradient Method for Monotone Variational Inequalities and Inclusion Problems
- An Inexact Accelerated Proximal Gradient Method for Large Scale Linearly Constrained Convex SDP
- Fast Gradient-Based Algorithms for Constrained Total Variation Image Denoising and Deblurring Problems
- Interior Gradient and Proximal Methods for Convex and Conic Optimization
- Bounded perturbation resilience of projected scaled gradient methods