H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 75 Citations 25,446 164 World Ranking 74 National Ranking 43
Computer Science H-index 63 Citations 20,408 110 World Ranking 1247 National Ranking 719

Research.com Recognitions

Awards & Achievements

2011 - SIAM Fellow For seminal contributions to the theory and algorithms of optimization and applications to machine learning.

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Artificial intelligence
  • Machine learning

His main research concerns Support vector machine, Linear programming, Artificial intelligence, Mathematical optimization and Nonlinear system. His Support vector machine research includes themes of Theoretical computer science, Kernel, Minification, Algorithm and Test set. His Linear programming study incorporates themes from Applied mathematics, System of linear equations, Surgical biopsy and Feature vector.

His Artificial intelligence research is multidisciplinary, incorporating perspectives in Machine learning, Breast tumor and Pattern recognition. His research investigates the connection between Mathematical optimization and topics such as Nonlinear programming that intersect with problems in Farkas' lemma, Sequential quadratic programming and Invex function. In his research on the topic of Nonlinear system, Monotone polygon and Smoothing is strongly related with Mathematical analysis.

His most cited work include:

  • Nonlinear Programming (1986 citations)
  • Feature Selection via Concave Minimization and Support Vector Machines (859 citations)
  • Multisurface Method of Pattern Separation for Medical Diagnosis Applied to Breast Cytology (772 citations)

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

The scientist’s investigation covers issues in Linear programming, Mathematical optimization, Support vector machine, Artificial intelligence and Applied mathematics. The study incorporates disciplines such as Discrete mathematics, Square matrix and Linear inequality in addition to Linear programming. His Quadratic programming study in the realm of Mathematical optimization interacts with subjects such as Complementarity theory, Mixed complementarity problem and Linear complementarity problem.

His biological study spans a wide range of topics, including Classifier, Test set and Nonlinear system. His research integrates issues of Machine learning, Data mining and Pattern recognition in his study of Artificial intelligence. His research on Applied mathematics also deals with topics like

  • Mathematical analysis and related Absolute value equation and Minification,
  • Combinatorics, which have a strong connection to Point.

He most often published in these fields:

  • Linear programming (42.92%)
  • Mathematical optimization (29.20%)
  • Support vector machine (20.35%)

What were the highlights of his more recent work (between 2004-2017)?

  • Linear programming (42.92%)
  • Support vector machine (20.35%)
  • Absolute value equation (12.39%)

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

His scientific interests lie mostly in Linear programming, Support vector machine, Absolute value equation, Artificial intelligence and Discrete mathematics. The subject of his Linear programming research is within the realm of Mathematical optimization. His studies deal with areas such as Classifier, Regular polygon, Simple, Algorithm and Breast cancer as well as Support vector machine.

His Absolute value equation research also works with subjects such as

  • Square matrix, which have a strong connection to Combinatorics and Bilinear interpolation,
  • Mathematical analysis that intertwine with fields like Applied mathematics and Minification. Olvi L. Mangasarian has researched Artificial intelligence in several fields, including Machine learning, Nonlinear system, Data mining and Pattern recognition. His work deals with themes such as Cutting stock problem, Change-making problem, Continuous knapsack problem, Linear equation and Finite set, which intersect with Discrete mathematics.

Between 2004 and 2017, his most popular works were:

  • Multisurface proximal support vector machine classification via generalized eigenvalues (563 citations)
  • Multicategory Proximal Support Vector Machine Classifiers (252 citations)
  • Absolute value equations (156 citations)

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

  • Mathematical analysis
  • Real number
  • Machine learning

Olvi L. Mangasarian spends much of his time researching Linear programming, Mathematical optimization, Support vector machine, Mathematical analysis and Absolute value equation. His research on Linear programming focuses in particular on Linear-fractional programming. His studies in Mathematical optimization integrate themes in fields like Differentiable function, Norm, Newton's method and Regular polygon.

His Support vector machine study results in a more complete grasp of Artificial intelligence. Olvi L. Mangasarian combines subjects such as Nonlinear system and Pattern recognition with his study of Artificial intelligence. His work on Absolute value as part of general Mathematical analysis research is often related to Linear complementarity problem, thus linking different fields of science.

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.

Top Publications

Nonlinear Programming

O. L. Mangasarian.
(1969)

3909 Citations

Multicategory Proximal Support Vector Machine Classifiers

Glenn M. Fung;O. L. Mangasarian.
Machine Learning (2005)

1288 Citations

Feature Selection via Concave Minimization and Support Vector Machines

Paul S. Bradley;O. L. Mangasarian.
international conference on machine learning (1998)

1189 Citations

Proximal support vector machine classifiers

Glenn Fung;Olvi L. Mangasarian.
knowledge discovery and data mining (2001)

1115 Citations

Multisurface Method of Pattern Separation for Medical Diagnosis Applied to Breast Cytology

William H. Wolberg;Olvi L. Mangasarian.
Proceedings of the National Academy of Sciences of the United States of America (1990)

1098 Citations

Robust linear programming discrimination of two linearly inseparable sets

Kristin P Bennett;Olvi L Mangasarian.
Optimization Methods & Software (1992)

995 Citations

RSVM: Reduced Support Vector Machines

Yuh-Jye Lee;Olvi L. Mangasarian.
siam international conference on data mining (2001)

849 Citations

Breast Cancer Diagnosis and Prognosis Via Linear Programming

Olvi L. Mangasarian;W. Nick Street;William H. Wolberg.
Operations Research (1995)

823 Citations

Lagrangian support vector machines

O. L. Mangasarian;David R. Musicant.
Journal of Machine Learning Research (2001)

774 Citations

SSVM: A Smooth Support Vector Machine for Classification

Yuh-Jye Lee;O. L. Mangasarian.
Computational Optimization and Applications (2001)

774 Citations

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

If you think any of the details on this page are incorrect, let us know.

Contact us

Top Scientists Citing Olvi L. Mangasarian

Yong Shi

Yong Shi

Chinese Academy of Sciences

Publications: 79

Panos M. Pardalos

Panos M. Pardalos

University of Florida

Publications: 54

Suresh Chandra

Suresh Chandra

Indian Institute of Technology Delhi

Publications: 51

Jong-Shi Pang

Jong-Shi Pang

University of Southern California

Publications: 48

Masao Fukushima

Masao Fukushima

Nanzan University

Publications: 47

Liqun Qi

Liqun Qi

Hong Kong Polytechnic University

Publications: 45

Paul Tseng

Paul Tseng

University of Washington

Publications: 40

Vaithilingam Jeyakumar

Vaithilingam Jeyakumar

UNSW Sydney

Publications: 36

Glenn Fung

Glenn Fung

American Family Insurance

Publications: 35

Christian Kanzow

Christian Kanzow

University of Würzburg

Publications: 35

Mikhail V. Solodov

Mikhail V. Solodov

Instituto Nacional de Matemática Pura e Aplicada

Publications: 35

Xiaojun Chen

Xiaojun Chen

Hong Kong Polytechnic University

Publications: 33

Michael C. Ferris

Michael C. Ferris

University of Wisconsin–Madison

Publications: 32

Xiaoqi Yang

Xiaoqi Yang

Hong Kong Polytechnic University

Publications: 32

Kristin P. Bennett

Kristin P. Bennett

Rensselaer Polytechnic Institute

Publications: 32

Something went wrong. Please try again later.