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math.OC2019

Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning

Mark Brooke, Yair Censor, Aviv Gibali

In this paper we study a feasibility-seeking problem with percentage violation constraints. These are additional constraints, that are appended to an existing family of constraints…

math.OC2019

Data-compatibility of algorithms

Yair Censor, Maroun Zaknoon, Alexander J. Zaslavski

The data-compatibility approach to constrained optimization, proposed here, strives to a point that is "close enough" to the solution set and whose target function value is "close…

math.OC2019

Superiorization vs. Accelerated Convex Optimization: The Superiorized/Regularized Least-Squares Case

Yair Censor, Stefania Petra, Christoph Schnörr

We conduct a study and comparison of superiorization and optimization approaches for the reconstruction problem of superiorized/regularized least-squares solutions of underdetermin…

math.OC2019

An analysis of the superiorization method via the principle of concentration of measure

Yair Censor, Eliahu Levy

The superiorization methodology is intended to work with input data of constrained minimization problems, i.e., a target function and a constraints set. However, it is based on an…

math.OC2019

Derivative-Free Superiorization: Principle and Algorithm

Yair Censor, Edgar Garduño, Elias S. Helou +1

The superiorization methodology is intended to work with input data of constrained minimization problems, that is, a target function and a set of constraints. However, it is based…