The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning
DOI10.1016/j.amc.2022.127627OpenAlexW4308219681MaRDI QIDQ2101916
Yair Censor, Aviv Gibali, David Torregrosa-Belén, Francisco J. Aragón Artacho
Publication date: 7 December 2022
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.05663
bounded perturbation resiliencesuperiorizationrestartintensity-modulated radiation therapysplit minimization problemsubvectors
Convex programming (90C25) Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Biomedical imaging and signal processing (92C55) Medical applications (general) (92C50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Acceleration of convergence in numerical analysis (65B99)
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- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Algorithms for the split variational inequality problem
- A new projection method for finding the closest point in the intersection of convex sets
- A multiprojection algorithm using Bregman projections in a product space
- Block-iterative projection methods for parallel computation of solutions to convex feasibility problems
- The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
- An analysis of the superiorization method via the principle of concentration of measure
- Derivative-free superiorization: principle and algorithm
- String-averaging methods for best approximation to common fixed point sets of operators: the finite and infinite cases
- Projection algorithms for solving the split feasibility problem with multiple output sets
- Projected subgradient minimization versus superiorization
- Strict Fejér monotonicity by superiorization of feasibility-seeking projection methods
- Adaptive restart for accelerated gradient schemes
- Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces
- Weak and Strong Superiorization: Between Feasibility-Seeking and Minimization
- Convergence of string-averaging method for a class of operators
- Feasibility-Seeking and Superiorization Algorithms Applied to Inverse Treatment Planning in Radiation Therapy
- Stable Convergence Theorems for Infinite Products and Powers of Nonexpansive Mappings
- Perturbation‐resilient block‐iterative projection methods with application to image reconstruction from projections
- Perturbation resilience and superiorization of iterative algorithms
- Decomposition through formalization in a product space
- On Projection Algorithms for Solving Convex Feasibility Problems
- A Nonconvex Optimization Approach to IMRT Planning with Dose–Volume Constraints
- Can linear superiorization be useful for linear optimization problems?
- Convex analysis and monotone operator theory in Hilbert spaces
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