D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 54 Citations 14,060 121 World Ranking 418 National Ranking 9
Engineering and Technology D-index 53 Citations 13,083 133 World Ranking 1202 National Ranking 5

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algorithm
  • Mathematical optimization

Yair Censor mainly focuses on Mathematical optimization, Algorithm, Iterative method, Applied mathematics and Iterative reconstruction. Yair Censor studies Dykstra's projection algorithm, a branch of Mathematical optimization. His studies deal with areas such as Solution point and Inverse problem as well as Algorithm.

His Iterative method research integrates issues from Image quality, Image resolution, Optical transfer function, Image noise and Tomography. His studies in Applied mathematics integrate themes in fields like Orthographic projection, Subgradient method and Mathematical analysis. His study in Iterative reconstruction is interdisciplinary in nature, drawing from both Discretization, Hyperplane, Bayesian probability and Calculus.

His most cited work include:

  • A multiprojection algorithm using Bregman projections in a product space (768 citations)
  • Parallel Optimization: Theory, Algorithms, and Applications (726 citations)
  • A unified approach for inversion problems in intensity-modulated radiation therapy (451 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Mathematical optimization, Algorithm, Iterative reconstruction, Applied mathematics and Iterative method. His study focuses on the intersection of Mathematical optimization and fields such as Convex optimization with connections in the field of Optimization problem. His study looks at the relationship between Algorithm and topics such as Inverse problem, which overlap with Discretization.

The various areas that Yair Censor examines in his Iterative reconstruction study include Image resolution, Finite set, Partial derivative and System of linear equations. His Applied mathematics research includes elements of Fixed point, Hyperplane and Hilbert space. The Hilbert space study combines topics in areas such as Discrete mathematics, Projection, Algebra and Weak convergence.

He most often published in these fields:

  • Mathematical optimization (43.07%)
  • Algorithm (32.18%)
  • Iterative reconstruction (19.80%)

What were the highlights of his more recent work (between 2011-2021)?

  • Mathematical optimization (43.07%)
  • Algorithm (32.18%)
  • Hilbert space (12.87%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Mathematical optimization, Algorithm, Hilbert space, Point and Iterative reconstruction. The Mathematical optimization study combines topics in areas such as Function and Projection. His Algorithm research integrates issues from Image, Inverse problem and Expectation–maximization algorithm.

His work deals with themes such as Discrete mathematics, Fixed point, Algebra and Variational inequality, Applied mathematics, which intersect with Hilbert space. His research in Iterative reconstruction intersects with topics in Proton computed tomography, Theory of computation, Partial derivative and System of linear equations. Yair Censor combines subjects such as Projection method, Optimization problem, Convex function and Convex optimization with his study of Subgradient method.

Between 2011 and 2021, his most popular works were:

  • Algorithms for the Split Variational Inequality Problem (307 citations)
  • Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space (164 citations)
  • On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints (128 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Algorithm
  • Algebra

His main research concerns Mathematical optimization, Algorithm, Minification, Hilbert space and Variational inequality. Yair Censor has researched Mathematical optimization in several fields, including Parallel projection, Projection and Relaxation. His Algorithm research includes themes of Projection, Imaging phantom, Inverse problem and System of linear equations.

His work in Minification addresses subjects such as Subgradient method, which are connected to disciplines such as Projection method. His Variational inequality research includes elements of Image and Euclidean space. While the research belongs to areas of Applied mathematics, Yair Censor spends his time largely on the problem of Mathematical analysis, intersecting his research to questions surrounding Newton's method and Proximal Gradient Methods.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Parallel Optimization: Theory, Algorithms, and Applications

Yair Al Censor;Stavros A. Zenios.
(1997)

1348 Citations

A multiprojection algorithm using Bregman projections in a product space

Yair Censor;Tommy Elfving.
Numerical Algorithms (1994)

1083 Citations

Finite series-expansion reconstruction methods

Y. Censor.
Proceedings of the IEEE (1983)

680 Citations

A unified approach for inversion problems in intensity-modulated radiation therapy

Yair Censor;Thomas Bortfeld;Benjamin Martin;Alexei Trofimov.
Physics in Medicine and Biology (2006)

659 Citations

Row-Action Methods for Huge and Sparse Systems and Their Applications

Yair Censor.
Siam Review (1981)

578 Citations

The Multiple-Sets Split Feasibility Problem and Its Applications for Inverse Problems

Yair Censor;Tommy Elfving;Nirit Kopf;Thomas Bortfeld.
Inverse Problems (2005)

575 Citations

An iterative row-action method for interval convex programming

Y. Censor;A. Lent.
Journal of Optimization Theory and Applications (1981)

527 Citations

Pareto optimality in multiobjective problems

Yair Censor.
Applied Mathematics and Optimization (1977)

459 Citations

The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space.

Yair Censor;Aviv Gibali;Simeon Reich.
Journal of Optimization Theory and Applications (2011)

429 Citations

Algorithms for the Split Variational Inequality Problem

Yair Censor;Aviv Gibali;Simeon Reich.
Numerical Algorithms (2012)

416 Citations

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Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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