Search Results - string-averaging EM algorithm

String-averaging expectation-maximization for maximum likelihood estimation in emission tomography

Authors: I-Liang Chern Elias S. Helou Alvaro R. De Pierro et al.

Contributors: I-Liang Chern Elias S. Helou Alvaro R. De Pierro et al.

Source: Inverse Problems. 30:055003

Subject Terms: FOS: Computer and information sciences, expectation-maximization (EM) algorithm, block-iterative, FOS: Physical sciences, Numerical Analysis (math.NA), 02 engineering and technology, ordered subsets expectation maximization (OSEM) algorithm, string-averaging, string-averaging EM algorithm, Physics - Medical Physics, relaxed EM, Computer Science - Computers and Society, 03 medical and health sciences, 0302 clinical medicine, Optimization and Control (math.OC), Computers and Society (cs.CY), FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, positron emission tomography (PET), Mathematics - Numerical Analysis, Medical Physics (physics.med-ph), Mathematics - Optimization and Control

File Description: 684529 bytes; application/pdf

Access URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/271235/1/SA-EM.pdf
http://arxiv.org/abs/1402.2455
https://arxiv.org/abs/1402.2455
https://arxiv.org/pdf/1402.2455.pdf
http://export.arxiv.org/pdf/1402.2455
https://ui.adsabs.harvard.edu/abs/2014InvPr..30e5003S/abstract
https://www.ir.nctu.edu.tw/handle/11536/24445
http://math.haifa.ac.il/yair/saem-IP-final-300114-accepted.pdf
https://inis.iaea.org/Search/search.aspx?orig_q=RN:46042642
https://scholar.nycu.edu.tw/zh/publications/string-averaging-expectation-maximization-for-maximum-likelihood-
http://ir.lib.isu.edu.tw/handle/987654321/16849

String-averaging incremental subgradient methods for constrained convex optimization problems

Média das sequências e métodos de subgradientes incrementais para problemas de otimização convexa com restrições

Authors: Oliveira, Rafael Massambone de

Thesis Advisors: Helou Neto, Elias Salomão

Subject Terms: Algoritmos de média das sequências, Convex optimization, Incremental subgradient methods, Métodos de subgradientes incrementais, Otimização convexa, Otimização estocástica, Stochastic optimization, String-averaging algorithms

File Description: application/pdf

Availability: http://www.teses.usp.br/teses/disponiveis/55/55134/tde-14112017-150512/

String-averaging incremental subgradient methods for constrained convex optimization problems

Média das sequências e métodos de subgradientes incrementais para problemas de otimização convexa com restrições

Authors: Rafael Massambone de Oliveira

Thesis Advisors: Elias Salomão Helou Neto, Roberto Andreani, Marina Andretta, Paulo José da Silva e Silva

Source: Biblioteca Digital de Teses e Dissertações da USPUniversidade de São PauloUSP.

Subject Terms: Algoritmos de média das sequências, Métodos de subgradientes incrementais, Otimização convexa, Otimização estocástica, Convex optimization, Incremental subgradient methods, Stochastic optimization, String-averaging algorithms

Availability: http://www.teses.usp.br/teses/disponiveis/55/55134/tde-14112017-150512/

Bounded perturbation resilience of projected scaled gradient methods.

Authors: Jin, Wenma Censor, Yair Jiang, Ming

Source: Computational Optimization & Applications; Mar2016, Vol. 63 Issue 2, p365-392, 28p

Subject Terms: PERTURBATION theory, CONJUGATE gradient methods, EXPECTATION-maximization algorithms, APPROXIMATION theory, FUNCTIONAL analysis, NUMERICAL solutions to equations

String-averaging expectation-maximization for maximum likelihood estimation in emission tomography.

Authors: Helou, Elias Salom�o Censor, Yair Chen, Tai-Been et al.

Source: Inverse Problems; May2014, Vol. 30 Issue 5, p055003-055022, 20p

Subject Terms: POSITRON emission tomography, EXPECTATION-maximization algorithms, IMAGE reconstruction, IMAGE processing, LINEAR systems, SINGLE-photon emission computed tomography

String-averaging incremental stochastic subgradient algorithms.

Authors: Oliveira, R. M. Helou, E. S. Costa, E. F.

Source: Optimization Methods & Software; Jun2019, Vol. 34 Issue 3, p665-692, 28p

Subject Terms: STOCHASTIC approximation, CONVEX programming, ALGORITHMS, STOCHASTIC programming, APPROXIMATION algorithms, CONVEX functions, RANDOM sets

A necessary condition for the guarantee of the superiorization method.

Authors: Barshad, Kay Censor, Yair Moursi, Walaa et al.

Source: Optimization Letters; Nov2025, Vol. 19 Issue 8, p1699-1714, 16p

SUPERIORIZATION: THE ASYMMETRIC ROLES OF FEASIBILITY-SEEKING AND OBJECTIVE FUNCTION REDUCTION.

Authors: CENSOR, YAIR

Source: Applied Set-Valued Analysis & Optimization; 2023, Vol. 5 Issue 3, p325-346, 22p

Subject Terms: METHODOLOGY, ALGORITHMS

Derivative-free superiorization: principle and algorithm.

Authors: Censor, Yair Garduño, Edgar Helou, Elias S. et al.

Source: Numerical Algorithms; Sep2021, Vol. 88 Issue 1, p227-248, 22p

Subject Terms: ALGORITHMS, IMAGE reconstruction algorithms, PROBLEM solving, IMAGE reconstruction, SET functions, CONSTRAINT algorithms

Decomposition in derivative-free optimization.

Authors: Ma, Kaiwen Sahinidis, Nikolaos V. Rajagopalan, Sreekanth et al.

Source: Journal of Global Optimization; Oct2021, Vol. 81 Issue 2, p269-292, 24p

Subject Terms: CONSTRAINED optimization, SEARCH algorithms, MATHEMATICAL optimization, ALGORITHMS

String-averaging incremental subgradient methods for constrained convex optimization problems ; Média das sequências e métodos de subgradientes incrementais para problemas de otimização convexa com restrições

Authors: Oliveira, Rafael Massambone de Helou Neto, Elias Salomão

Contributors: Oliveira, Rafael Massambone de Helou Neto, Elias Salomão

Subject Terms: Algoritmos de média das sequências, Métodos de subgradientes incrementais, Otimização convexa, Otimização estocástica, Convex optimization, Incremental subgradient methods, Stochastic optimization, String-averaging algorithms

File Description: application/pdf

Availability: http://www.teses.usp.br/teses/disponiveis/55/55134/tde-14112017-150512/
https://doi.org/10.11606/T.55.2017.tde-14112017-150512

Strict Fejér Monotonicity by Superiorization of Feasibility-Seeking Projection Methods.

Authors: Censor, Yair Zaslavski, Alexander

Source: Journal of Optimization Theory & Applications; Apr2015, Vol. 165 Issue 1, p172-187, 16p

Subject Terms: GRAPHICAL projection, SUBGRADIENT methods, PERTURBATION theory, CONVEX sets, HILBERT space

Superiorization methodology and perturbation resilience of inertial proximal gradient algorithm with application to signal recovery.

Authors: Pakkaranang, Nuttapol Kumam, Poom Berinde, Vasile et al.

Source: Journal of Supercomputing; Dec2020, Vol. 76 Issue 12, p9456-9477, 22p

Subject Terms: ALGORITHMS

An Analysis of the Superiorization Method via the Principle of Concentration of Measure.

Authors: Censor, Yair Levy, Eliahu

Source: Applied Mathematics & Optimization; Jun2021, Vol. 83 Issue 3, p2273-2301, 29p

Subject Terms: CONSTRAINT algorithms, SET functions, RANDOM matrices, ALGORITHMS

Variable Dose-Constraints Method Based on Multiplicative Dynamical Systems for High-Precision Intensity-Modulated Radiation Therapy Planning.

Authors: Abou Al-Ola, Omar M. Kojima, Takeshi Nakada, Ryosei et al.

Source: Mathematics (2227-7390); Jun2025, Vol. 13 Issue 11, p1852, 20p

Subject Terms: DIFFERENTIABLE dynamical systems, LINEAR differential equations, INITIAL value problems, DYNAMICAL systems, CONSTRAINED optimization

Superiorization for Image Analysis.

Authors: Herman, Gabor T.

Source: Combinatorial Image Analysis: 16th International Workshop, IWCIA 2014, Brno, Czech Republic, May 28-30, 2014. Proceedings; 2014, p1-7, 7p

Ordered Subset Expectation Maximum Algorithms Based on Symmetric Structure for Image Reconstruction.

Authors: Liu, Chang Qiu, Jun

Source: Symmetry (20738994); Oct2018, Vol. 10 Issue 10, p449, 1p

Subject Terms: DISCRETIZATION methods, IMAGE reconstruction, IMAGE processing, SUBSET selection, PHOTON emission

Projected Subgradient Minimization Versus Superiorization.

Authors: Censor, Yair Davidi, Ran Herman, Gabor et al.

Source: Journal of Optimization Theory & Applications; Mar2014, Vol. 160 Issue 3, p730-747, 18p

Subject Terms: CONJUGATE gradient methods, GRAPHICAL projection, ALGORITHMS, FEASIBILITY studies, APPROXIMATION theory

Total variation superiorization schemes in proton computed tomography image reconstruction.

Authors: Penfold, S. N. Schulte, R. W. Censor, Y. et al.

Source: Medical Physics; Nov2010, Vol. 37 Issue 11, p5887-5895, 9p, 1 Black and White Photograph, 5 Diagrams, 3 Graphs

Subject Terms: PROTONS, TOMOGRAPHY, IMAGE reconstruction, ALGORITHMS, MONTE Carlo method, ORTHOGRAPHIC projection, IMAGE quality analysis

XCT image reconstruction by a modified superiorized iteration and theoretical analysis.

Authors: Luo, Shousheng Zhang, Yanchun Zhou, Tie et al.

Source: Optimization Methods & Software; Dec2020, Vol. 35 Issue 6, p1080-1097, 18p

Subject Terms: IMAGE reconstruction, COMPUTED tomography