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- Glenn Fung, Olvi L. Mangasarian
- KDD
- 2001

Instead of a standard support vector machine (SVM) that classifies points by assigning them to one of two disjoint half-spaces, points are classified by assigning them to the closest of two parallelâ€¦ (More)

- Paul S. Bradley, Olvi L. Mangasarian
- ICML
- 1998

Computational comparison is made between two feature selection approaches for nding a separating plane that discriminates between two point sets in an n-dimensional feature space that utilizes as fewâ€¦ (More)

- Yuh-Jye Lee, Olvi L. Mangasarian
- SDM
- 2001

Abstract An algorithm is proposed which generates a nonlinear kernel-based separating surface that requires as little as 1% of a large dataset for its explicit evaluation. To generate this nonlinearâ€¦ (More)

- Olvi L. Mangasarian, Edward W. Wild
- IEEE Transactions on Pattern Analysis and Machineâ€¦
- 2006

A new approach to support vector machine (SVM) classification is proposed wherein each of two data sets are proximal to one of two distinct planes that are not parallel to each other. Each plane isâ€¦ (More)

- Yuh-Jye Lee, Olvi L. Mangasarian
- Comp. Opt. and Appl.
- 2001

Smoothing methods, extensively used for solving important mathematical programming problems and applications, are applied here to generate and solve an unconstrained smooth reformulation of theâ€¦ (More)

- Olvi L. Mangasarian, David R. Musicant
- Journal of Machine Learning Research
- 2001

An implicit Lagrangian for the dual of a simple reformulation of the standard quadratic program of a linear support vector machine is proposed. This leads to the minimization of an unconstrainedâ€¦ (More)

By setting apart the two functions of a support vector machine: separation of points by a nonlinear surface in the original space of patterns, and maximizing the distance between separating planes inâ€¦ (More)

- Chunhui Chen, Olvi L. Mangasarian
- Comp. Opt. and Appl.
- 1996

We propose a class of parametric smooth functions that approximate the fundamental plus function, (x) + =maxf0; xg, by twice integrating a probability density function. This leads to classes ofâ€¦ (More)

- William H. Wolberg, Olvi L. Mangasarian
- Proceedings of the National Academy of Sciencesâ€¦
- 1990

Multisurface pattern separation is a mathematical method for distinguishing between elements of two pattern sets. Each element of the pattern sets is comprised of various scalar observations. In thisâ€¦ (More)

- Glenn Fung, Olvi L. Mangasarian
- Comp. Opt. and Appl.
- 2004

A fast Newton method, that suppresses input space features, is proposed for a linear programming formulation of support vector machine classifiers. The proposed stand-alone method can handleâ€¦ (More)