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Abstract: INTRODUCTION We consider the two point-sets A and B in the n-dimensional real space R n represented by the m \Theta n matrix A and the k \Theta n matrix B respectively. Our principal objective here is to formulate a single linear program with the following properties: (i) If the convex hulls of A and B are disjoint, a strictly separating plane is obtained. (ii) If the convex hulls of A and B intersect, a plane is obtained that minimizes some measure of misclassification points, for all... (Update)
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BibTeX entry: (Update)
K. P. Bennett and O. L. Mangasarian. Robust linear programming discrimination of two linearly inseparable sets. Optimization Methods and Software, 1:23--34, 1992. http://citeseer.ist.psu.edu/bennett92robust.html More
@techreport{ bennettrobust,
author = "Kristin P. Bennett and Olvi L. Mangasarian",
title = "Robust Linear Programming Discrimination of Two Linearly Inseparable Sets",
number = "CS-TR-1991-1054a",
url = "citeseer.ist.psu.edu/bennett92robust.html" }
Citations (may not include all citations):686 Practical Methods in Optimization (context) - Fletcher - 1987
119 Nonlinear Programming (context) - Mangasarian - 1969
73 Introduction to Optimization (context) - Polyak - 1987
46 Pattern Recognition via Linear Programming: Theory and Appli.. - Mangasarian, Setiono et al. - 1990
37 Neural Network Training Via Linear Programming (context) - Bennett, Mangasarian - 1992
35 Linear and Nonlinear Separation of Patterns by Linear Progra.. (context) - Mangasarian - 1965
32 International Application of a New Probability Algorithm for.. (context) - Detrano, Janosi et al. - 1989
20 Multisurface Method of Pattern Separation (context) - Mangasarian - 1968
14 Improved Linear Programming Models for Discriminant Analysis (context) - Glover - 1990
9 Pattern Classifier Design by Linear Programming (context) - Smith - 1968
6 Diagnostic Schemes for Fine Needle Aspirates of Breast Masse.. (context) - Wolberg, Tanner et al. - 1988
5 Learning Internal Representations (context) - Rumelhart, Hinton et al. - 1969
2 Mathematical Programming Methods of Pattern Classification (context) - Grinold - 1972
1 Multisurface Method of Pattern Separation Applied to Breast .. (context) - Wolberg, Mangasarian - 1990
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