YC
Yair Censor
math.OCphysics.med-phcs.NAmath.NAmath.FAAlgorithmssuperiorizationSuperiorizationfeasibility seekingFeasibility-seeking
On Valency
published · living versionsW_ejhffd32·v1 · currentpublished
Multi-split Multiple-sets Implicit Convex Feasibility Seeking As Split Inverse Problems
with Soumitra Dey
1 version
Preprints & journals
87 papers in the corpus · 1980–2026Parallel Optimization: Theory, Algorithms, and Applications,2609.24505v1 · Yair Censor, Stavros A. Zenios2026 · 813 citationsOxford University Press, New York, NY, USA, 1997 (576pp., ISBN 0-19-510062-X)
The best approximation tuple: an extension of the Cheney-Goldstein algorithm and results to the multiple sets case2609.11105v2 · Yair Censor, Daniel Reem2026 · 0 citationsarXiv
A new theorem of alternatives leading to sufficient conditions for the superiorization guarantee question of Dynamic String-Averaging in the inconsistent case2607.26489v1 · Kay Barshad, Yair Censor2026 · 0 citationsarXiv
On the boundedness of infinite products of relaxed projections: perturbations resilience and dynamic string-averaging2607.25797v1 · Daniel Reem, Yair Censor2026 · 0 citationsarXiv
GPU-accelerated superiorization on constrained physical problems with SupPy2606.27086v1 · Tobias Becher, Yair Censor, Kay Barshad et al.2026 · 0 citationsarXiv
Strong convergence, perturbation resilience and superiorization of Generalized Modular String-Averaging with infinitely many input operators2603.14270v1 · Kay Barshad, Yair Censor2026 · 1 citationarXiv
Multi-Criteria Inverse Robustness in Radiotherapy Planning Using Semidefinite Programming.41647210 · Schröeder, Jan, Censor, Yair, Süss, Philipp et al.2026 · 0 citationsArXiv. 2026
GPU-accelerated FREDopt package for simultaneous dose and LETd proton radiotherapy plan optimization via superiorization methods.41040804 · Borys, Damian, Gajewski, Jan, Becher, Tobias et al.2025 · 0 citationsArXiv. 2025
GPU-accelerated FREDopt package for simultaneous dose and LETdproton radiotherapy plan optimization via superiorization methods.40562074 · Borys, Damian, Gajewski, Jan, Becher, Tobias et al.2025 · 0 citationsPhysics in medicine and biology. 2025;70(15)
An iterative process for the feasibility-seeking problem with sets that are unions of convex sets2504.04912v1 · Yair Censor, Alexander J. Zaslavski2025 · 0 citationsarXiv
A necessary condition for the guarantee of the superiorization method.39975423 · Barshad, Kay, Censor, Yair, Moursi, Walaa et al.2025 · 2 citationsArXiv. 2025
General Perturbation Resilient Dynamic String-Averaging for Inconsistent Problems with Superiorization.40642100 · Barshad, Kay, Censor, Yair2025 · 2 citationsJournal of optimization theory and applications. 2025;207(1):9
New results related to cutters and to an extrapolated block-iterative method for finding a common fixed point of a collection of them2410.20448v3 · Yair Censor, Daniel Reem, Maroun Zaknoon2024 · 0 citationsCarpathian Journal of Mathematics 41 (2025), pp. 863--884
Immunity to Increasing Condition Numbers of Linear Superiorization versus Linear Programming2407.18709v3 · Jan Schroder, Yair Censor, Philipp Suss et al.2024 · 0 citationsarXiv
Immunity to Increasing Condition Numbers of Linear Superiorization versus Linear Programming.39108290 · Schröder, Jan, Censor, Yair, Süss, Philipp et al.2024 · 0 citationsArXiv. 2024
Floorplanning with I/O Assignment via Feasibility-Seeking and Superiorization Methods.39735901 · Yu, Shan, Censor, Yair, Luo, Guojie2025 · 3 citationsIEEE transactions on computer-aided design of integrated circuits and systems : a publication of the IEEE Circuits and Systems Society. 2025;44(1):317-330
APPROACHES TO ITERATIVE ALGORITHMS FOR SOLVING NONLINEAR EQUATIONS WITH AN APPLICATION IN TOMOGRAPHIC ABSORPTION SPECTROSCOPY.38800661 · Aragón-Artacho, Francisco J, Cai, Weiwei, Censor, Yair et al.2026 · 0 citationsArXiv. 2024
The alternating simultaneous Halpern-Lions-Wittmann-Bauschke algorithm for finding the best approximation pair for two disjoint intersections of convex sets.38854405 · Censor, Yair, Mansour, Rafiq, Reem, Daniel2025 · 0 citationsJournal of approximation theory. 2024;301
The best approximation pair problem relative to two subsets in a normed space2403.18767v4 · Daniel Reem, Yair Censor2024 · 1 citationarXiv
Superiorization of projection algorithms for linearly constrained inverse radiotherapy treatment planning.38033492 · Barkmann, Florian, Censor, Yair, Wahl, Niklas2023 · 4 citationsFrontiers in oncology. 2023;13:1238824
Ionization detail parameters and cluster dose: a mathematical model for selection of nanodosimetric quantities for use in treatment planning in charged particle radiotherapy.37489619 · Faddegon, Bruce, Blakely, Eleanor A, Burigo, Lucas et al.2023 · 23 citationsPhysics in medicine and biology. 2023;68(17)
Per-RMAP: Feasibility-Seeking and Superiorization Methods for Floorplanning with I/O Assignment.38988948 · Yu, Shan, Censor, Yair, Jiang, Ming et al.2024 · 1 citationInternational Symposium of Electronics Design Automation. 2023;2023:286-291
Superiorization: The asymmetric roles of feasibility-seeking and objective function reduction2212.14724v1 · Yair Censor2022 · 4 citationsarXiv
Regularized Nonsmooth Newton Algorithms for Best Approximation2212.13182v2 · Yair Censor, Walaa M. Moursi, Tyler Weames et al.2022 · 0 citationsarXiv
Superiorization as a novel strategy for linearly constrained inverse radiotherapy treatment planning2207.13187v1 · Florian Barkmann, Yair Censor, Niklas Wahl2022 · 1 citationarXiv
The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning2207.05663v3 · Francisco J. Arag'on-Artacho, Yair Censor, Aviv Gibali et al.2022 · 5 citationsarXiv
A Generalized Block-Iterative Projection Method for the Common Fixed Point Problem Induced by Cutters2204.09770v2 · Yair Censor, Daniel Reem, Maroun Zaknoon2022 · 5 citationsJ. Global Optim. 84 (2022), 967--987
Limits of eventual families of sets with application to algorithms for the common fixed point problem2203.02972v1 · Yair Censor, Eliahu Levy2022 · 3 citationsarXiv
On Componental Operators in Hilbert Space2111.02830v2 · Andrzej Cegielski, Yair Censor2021 · 3 citationsarXiv
Developments in Mathematical Algorithms and Computational Tools for Proton CT and Particle Therapy Treatment Planning2108.09459v1 · Yair Censor, Keith E. Schubert, Reinhard W. Schulte2021 · 6 citationsarXiv
String-Averaging Methods for Best Approximation to Common Fixed Point Sets of Operators: The Finite and Infinite Cases2103.07891v1 · Yair Censor, Ariel Nisenbaum2021 · 3 citationsarXiv
Data-compatibility of algorithms1911.11389v2 · Yair Censor, Maroun Zaknoon, Alexander J. Zaslavski2019 · 0 citationsarXiv
Superiorization vs. Accelerated Convex Optimization: The Superiorized/Regularized Least-Squares Case1911.05498v2 · Yair Censor, Stefania Petra, Christoph Schnorr2019 · 19 citationsarXiv
An analysis of the superiorization method via the principle of concentration of measure1909.00398v1 · Yair Censor, Eliahu Levy2019 · 9 citationsarXiv
Derivative-Free Superiorization: Principle and Algorithm1908.10100v3 · Yair Censor, Edgar Garduno, Elias S. Helou et al.2019 · 2 citationsarXiv
An Improved Method of Total Variation Superiorization Applied to Reconstruction in Proton Computed Tomography.30998460 · Schultze, Blake, Censor, Yair, Karbasi, Paniz et al.2020 · 19 citationsIEEE transactions on medical imaging. 2020;39(2):294-307
Asynchronous Sequential Inertial Iterations for Common Fixed Points Problems with an Application to Linear Systems1808.04723v2 · Howard Heaton, Yair Censor2018 · 4 citationsarXiv
Derivative-free superiorization with component-wise perturbations.31068741 · Censor, Yair, Heaton, Howard, Schulte, Reinhard2020 · 8 citationsNumerical algorithms. 2019;80(4):1219-1240
Algorithms and Convergence Results of Projection Methods for Inconsistent Feasibility Problems: A Review1802.07529v3 · Yair Censor, Maroun Zaknoon2018 · 48 citationsarXiv
The Cyclic Douglas-Rachford Algorithm with r-sets-Douglas-Rachford Operators1801.00480v2 · Francisco J. Arag'on Artacho, Yair Censor, Aviv Gibali2018 · 12 citationsarXiv
Convergence Analysis of Processes with Valiant Projection Operators in Hilbert Space1709.05627v1 · Yair Censor, Rafiq Mansour2017 · 3 citationsarXiv
Finding a best approximation pair of points for two polyhedra1707.09639v2 · Ron Aharoni, Yair Censor, Zilin Jiang2017 · 10 citationsComput Optim Appl (2018) 71: 509-523
Sparsity constrained split feasibility for dose-volume constraints in inverse planning of intensity-modulated photon or proton therapy.28379849 · Penfold, Scott, Zalas, Rafał, Casiraghi, Margherita et al.2017 · 28 citationsPhysics in medicine and biology. 2017;62(9):3599-3618
Can Linear Superiorization Be Useful for Linear Optimization Problems?29335660 · Censor, Yair2020 · 24 citationsInverse problems. 2017;33(4)
Linear Superiorization for Infeasible Linear Programming1612.06997v1 · Yair Censor, Yehuda Zur2016 · 9 citationsLecture Notes in Computer Science (LNCS), Vol. 9869, 2016, Springer International Publishing, pp. 15-24
The Implicit Convex Feasibility Problem and Its Application to Adaptive Image Denoising1606.05848v1 · Yair Censor, Aviv Gibali, Frank Lenzen et al.2016 · 12 citationsarXiv
New Douglas-Rachford algorithmic structures and their convergence analyses1512.00409v1 · Yair Censor, Rafiq Mansour2015 · 13 citationsarXiv
Techniques in Iterative Proton CT Image Reconstruction1510.08559v1 · Scott Penfold, Yair Censor2015 · 21 citationsarXiv
Bounded perturbation resilience of projected scaled gradient methods1507.07302v1 · W. Jin, Y. Censor, M. Jiang2015 · 28 citationsarXiv
Superiorization and Perturbation Resilience of Algorithms: A Continuously Updated Bibliography1506.04219v11 · Yair Censor2015 · 9 citationsarXiv
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