Robust linear programming discrimination of two linearly inseparable sets

Optimization Methods and Software - Tập 1 Số 1 - Trang 23-34 - 1992
Kristin P. Bennett1, O. L. Mangasarian1
1Computer Sciences Department , Universip of Wisconsin , 1210 West Dayton Street, Madison, 53706, WI

Tóm tắt

Từ khóa


Tài liệu tham khảo

Bennett , K. P. and Mangasarian , O. L. 1992.Neural Network Training Via Linear Programming, Advances in Optimization and Parallel ComputingEdited by: Pardalos , P. M. 56–67. North Holland, Amsterdam

Detrano , R. Janosi , A. Steinbrunn , W. Pfisterer , M. Schmid , J. Sandhu , S. Guppy , K. Lee , S. and Froelicher , V. 1989.International Application of a New Probability Algorithm for the Diagnosis of Coronary Artery Disease, Vol. 64, 304–310. American Journal of Cardiology.

Fletcher R., 1987, Practical Methods in Optimization

Glover F., 1990, Improved Linear Programming Models for Discriminant Analysis., 21, 771

Grinold R. C., 1972, Mathematical Programming Methods of Pattern Classification., 21, 272

Mangasarian O. L., 1965, Linear and Nonlinear Separation of Patterns by Linear Programming, 21, 444

Mangasarian O. L., 1968, Multisurface Method of Pattern Separation, 6, 801

Mangasarian , O. L. 1969.Nonlinear Programming, 28–29. New York: McGraw-Hill.

Mangasarian , O. L. Setiono , R. and Wolberg , W. H. 1990.Pattern Recognition via Linear Programming: Theory and Application to Medical Diagnosis, Large-Scale Numerical OptimizationEdited by: Coleman , Thomas F. 22–30. Philadelphia SIAM

Polyak B. T., 1987, Introduction to Optimization

Rumelhart , D. E. Hinton , G. E. and McClelland , J. L. 1969.Learning Internal Representations, in Parallel Distributed Processing, Edited by: Rumelhart , D. E. and McClelland , J. L. Vol. 1, 318–362. Cambridge, Massachusetts: M.I.T. Press.

Smith F. W., 1968, Pattern Classifier Design by Linear Programming, 4, 367

Wolberg , W. H. and Mangasarian , O. L. 1990.Multisurface Method of Pattern Separation Applied to Breast Cytology Diagnosis, Vol. 87, 9193–9196. Proceeding of National Academy of Sciences U.S.A.

Wolberg , W. H. Tanner , M. S. and Loh , W. Y. 1988.Diagnostic Schemes for Fine Needle Aspirates of Breast Masses, Vol. 10, 225–228. Analytical and Quantitative Cytology and Histology.