Derivative-free superiorization: principle and algorithm
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Publication:2048824
DOI10.1007/s11075-020-01038-wzbMath1494.65040arXiv1908.10100OpenAlexW3096822320MaRDI QIDQ2048824
Yair Censor, Edgar Garduño, Gabor T. Herman, Elias Salomão Helou
Publication date: 24 August 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.10100
regularizationconstrained minimizationproximity functionsuperiorizationderivative-free methodbounded perturbationscomponent-wise perturbations
Numerical mathematical programming methods (65K05) Derivative-free methods and methods using generalized derivatives (90C56)
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- A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert space
- Iterative methods for fixed point problems in Hilbert spaces
- Derivative-free methods for nonlinear programming with general lower-level constraints
- Convergence properties of dynamic string-averaging projection methods in the presence of perturbations
- Algorithms for solving common fixed point problems
- Derivative-free superiorization with component-wise perturbations
- An analysis of the superiorization method via the principle of concentration of measure
- On perturbed hybrid steepest descent method with minimization or superiorization for subdifferentiable functions
- Strict Fejér monotonicity by superiorization of feasibility-seeking projection methods
- Derivative-free optimization: a review of algorithms and comparison of software implementations
- Fundamentals of Computerized Tomography
- Weak and Strong Superiorization: Between Feasibility-Seeking and Minimization
- 10. Iterative reconstruction techniques and their superiorization for the inversion of the Radon transform
- Projection methods: an annotated bibliography of books and reviews
- Introduction to Derivative-Free Optimization
- Derivative-Free and Blackbox Optimization
- A Progressive Barrier for Derivative-Free Nonlinear Programming
- Superiorization: theory and applications
- Convergence to approximate solutions and perturbation resilience of iterative algorithms
- Perturbation resilience and superiorization methodology of averaged mappings
- Superiorization with level control
- Computerized tomography with total variation and with shearlets
- Accelerated perturbation-resilient block-iterative projection methods with application to image reconstruction
- XCT image reconstruction by a modified superiorized iteration and theoretical analysis
- Nonlinear programming without a penalty function.
