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Volumn 112, Issue 2, 2002, Pages 265-293

Polyhedral separability through successive LP

Author keywords

Classification; machine learning; separability

Indexed keywords

GEOMETRY; LEARNING SYSTEMS;

EID: 0036117125     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013649822153     Document Type: Article
Times cited : (64)

References (43)
  • 1
    • 0002101112 scopus 로고    scopus 로고
    • A Statistical Perspective on Knowledge Discovery in Databases
    • Edited by U. M. Fayyad, G. Piatetsky-Shapiro, P. Smyth, and R. Uthurusamy, AAAI/MIT Press
    • ELDER, J., IV, and PREGIBON, D., A Statistical Perspective on Knowledge Discovery in Databases, Advances in Knowledge Discovery and Data Mining, Edited by U. M. Fayyad, G. Piatetsky-Shapiro, P. Smyth, and R. Uthurusamy, AAAI/MIT Press, pp. 83-115, 1996.
    • (1996) Advances in Knowledge Discovery and Data Mining , pp. 83-115
    • Elder IV, J.1    Pregibon, D.2
  • 3
    • 84977721346 scopus 로고
    • Credit Granting: A Comparative Analysis of Classification Procedures
    • SRINIVASAN, V., and KIM, Y. H., Credit Granting: A Comparative Analysis of Classification Procedures, Journal of Finance, Vol. 42, pp. 665-683, 1987.
    • (1987) Journal of Finance , vol.42 , pp. 665-683
    • Srinivasan, V.1    Kim, Y.H.2
  • 4
    • 0000585046 scopus 로고
    • Evaluating Program and Managerial Efficiency: An Application of Data Envelopment Analysis to Program Follow Through
    • CHARNES, A., COOPER, W. W., and RHODES, E., Evaluating Program and Managerial Efficiency: An Application of Data Envelopment Analysis to Program Follow Through, Management Science, Vol. 27, pp. 668-687, 1981.
    • (1981) Management Science , vol.27 , pp. 668-687
    • Charnes, A.1    Cooper, W.W.2    Rhodes, E.3
  • 5
    • 0003085879 scopus 로고
    • Pattern Recognition via Linear Programming: Theory and Application to Medical Diagnosis
    • Edited by T. F. Coleman and Y. Li, SIAM, Philadelphia, Pennsylvania
    • MANGASARIAN, O. L., SETIONO, R., and WOLBERG, W. H., Pattern Recognition via Linear Programming: Theory and Application to Medical Diagnosis, Large-Scale Numerical Optimization, Edited by T. F. Coleman and Y. Li, SIAM, Philadelphia, Pennsylvania, pp. 22-31, 1990.
    • (1990) Large-Scale Numerical Optimization , pp. 22-31
    • Mangasarian, O.L.1    Setiono, R.2    Wolberg, W.H.3
  • 6
    • 0002039637 scopus 로고
    • Cancer Diagnosis via Linear Programming
    • MANGASARIAN, O. L., and WOLBERG, W. H., Cancer Diagnosis via Linear Programming, SIAM News, Vol. 23, pp. 1-18, 1990.
    • (1990) SIAM News , vol.23 , pp. 1-18
    • Mangasarian, O.L.1    Wolberg, W.H.2
  • 7
    • 0000684645 scopus 로고
    • Breast Cancer Diagnosis and Prognosis via Linear Programming
    • MANGASARIAN, O. L., STREET, W. N., and WOLBERG, W. H., Breast Cancer Diagnosis and Prognosis via Linear Programming, Operations Research, Vol. 43, pp. 570-577, 1995.
    • (1995) Operations Research , vol.43 , pp. 570-577
    • Mangasarian, O.L.1    Street, W.N.2    Wolberg, W.H.3
  • 8
    • 0023043247 scopus 로고
    • Pattern Recognition Used to Investigate Multivariate Data in Analytical Chemistry
    • JURS, P. C., Pattern Recognition Used to Investigate Multivariate Data in Analytical Chemistry, Science, Vol. 232, pp. 1219-1224, 1986.
    • (1986) Science , vol.232 , pp. 1219-1224
    • Jurs, P.C.1
  • 9
    • 0000963583 scopus 로고
    • Linear and Nonlinear Separation of Patterns by Linear Programming
    • MANGASARIAN, O. L., Linear and Nonlinear Separation of Patterns by Linear Programming, Operations Research, Vol. 13, pp. 444-452, 1965.
    • (1965) Operations Research , vol.13 , pp. 444-452
    • Mangasarian, O.L.1
  • 10
    • 0026860799 scopus 로고
    • Robust Linear Programming Discrimination of Two Linearly Inseparable Sets
    • BENNETT, K. P., and MANGASARIAN, O. L., Robust Linear Programming Discrimination of Two Linearly Inseparable Sets, Optimization Methods and Software, Vol. 1, pp. 23-34, 1992.
    • (1992) Optimization Methods and Software , vol.1 , pp. 23-34
    • Bennett, K.P.1    Mangasarian, O.L.2
  • 11
  • 12
    • 84985847276 scopus 로고
    • Improved Linear Programming Models for Discriminant Analysis
    • GLOVER, F., Improved Linear Programming Models for Discriminant Analysis, Decision Sciences, Vol. 21, pp. 771-785, 1990.
    • (1990) Decision Sciences , vol.21 , pp. 771-785
    • Glover, F.1
  • 13
    • 0007843905 scopus 로고
    • Mathematical Programming Methods of Pattern Classification
    • GRINOLD, R. C., Mathematical Programming Methods of Pattern Classification, Management Science, Vol. 19, pp. 272-289, 1972.
    • (1972) Management Science , vol.19 , pp. 272-289
    • Grinold, R.C.1
  • 14
    • 0008935872 scopus 로고
    • Neural Network Training via Linear Programming
    • Edited by P. M. Pardalos, North Holland, Amsterdam, Holland
    • BENNETT, K. P., and MANGASARIAN, O. L., Neural Network Training via Linear Programming, Advances in Optimization and Parallel Computing, Edited by P. M. Pardalos, North Holland, Amsterdam, Holland, pp. 56-67, 1992.
    • (1992) Advances in Optimization and Parallel Computing , pp. 56-67
    • Bennett, K.P.1    Mangasarian, O.L.2
  • 15
    • 0004259250 scopus 로고    scopus 로고
    • Institute of Physics Publishing and Oxford University Press, Oxford, England
    • FIESLER, E., and BEALE, R., Handbook of Neural Computation, Institute of Physics Publishing and Oxford University Press, Oxford, England, 1997.
    • (1997) Handbook of Neural Computation
    • Fiesler, E.1    Beale, R.2
  • 18
    • 0000478184 scopus 로고
    • Mathematical Programming in Neural Networks
    • MANGASARIAN, O. L., Mathematical Programming in Neural Networks, ORSA Journal on Computing, Vol. 5, pp. 349-360, 1995.
    • (1995) ORSA Journal on Computing , vol.5 , pp. 349-360
    • Mangasarian, O.L.1
  • 20
    • 0002935122 scopus 로고    scopus 로고
    • On Mathematical Programming Methods and Support Vector Machines
    • Edited by A. Schoelkopf, C. Burges, and A. Smola, MIT Press, Cambridge, Massachusetts
    • BENNETT, K. P., On Mathematical Programming Methods and Support Vector Machines, Advances in Kernel Methods: Support Vector Machines, Edited by A. Schoelkopf, C. Burges, and A. Smola, MIT Press, Cambridge, Massachusetts, 1999.
    • (1999) Advances in Kernel Methods: Support Vector Machines
    • Bennett, K.P.1
  • 21
    • 0002709342 scopus 로고    scopus 로고
    • Feature Selection via Concave Minimization and Support Vector Machines
    • Edited by J. Shavlik, Morgan Kaufmann, San Francisco, California
    • BRADLEY, P. S., and MANGASARIAN, O. L., Feature Selection via Concave Minimization and Support Vector Machines, Machine Learning, Proceedings of the 15th International Conference (ICML '98), Edited by J. Shavlik, Morgan Kaufmann, San Francisco, California, pp. 82-90, 1998.
    • (1998) Machine Learning, Proceedings of the 15th International Conference (ICML '98) , pp. 82-90
    • Bradley, P.S.1    Mangasarian, O.L.2
  • 22
    • 0033721433 scopus 로고    scopus 로고
    • Massive Data Discrimination via Linear Support Vector Machines
    • BRADLEY, P. S., and MANGASARIAN, O. L., Massive Data Discrimination via Linear Support Vector Machines, Optimization Methods and Software, Vol. 13, pp. 1-10, 2000.
    • (2000) Optimization Methods and Software , vol.13 , pp. 1-10
    • Bradley, P.S.1    Mangasarian, O.L.2
  • 23
    • 27144489164 scopus 로고    scopus 로고
    • A Tutorial on Support Vector Machines for Pattern Recognition
    • BURGES, C. J. C., A Tutorial on Support Vector Machines for Pattern Recognition, Data Mining and Knowledge Discovery, Vol. 2, pp. 121-167, 1998.
    • (1998) Data Mining and Knowledge Discovery , vol.2 , pp. 121-167
    • Burges, C.J.C.1
  • 24
    • 0002714543 scopus 로고    scopus 로고
    • Making Large-Scale SVM Learning Practical
    • Edited by B. Schoelkopf, C. Burges, and A. Smola, MIT Press, Cambridge, Massachusetts
    • JOACHIMS, T., Making Large-Scale SVM Learning Practical, Advances in Kernel Methods: Support Vector Learning, Edited by B. Schoelkopf, C. Burges, and A. Smola, MIT Press, Cambridge, Massachusetts, 1999.
    • (1999) Advances in Kernel Methods: Support Vector Learning
    • Joachims, T.1
  • 26
    • 9744247087 scopus 로고    scopus 로고
    • Data Discrimination via Nonlinear Generalized Support Vector Machines
    • Edited by M. C. Ferris, O. L. Mangasarian, and J. S. Pang, Kluwer Academic Publishers, Dordrecht, Holland
    • MANGASARIAN, O. L., and MUSICANT, D. R., Data Discrimination via Nonlinear Generalized Support Vector Machines, Applications and Algorithms of Complementarity, Edited by M. C. Ferris, O. L. Mangasarian, and J. S. Pang, Kluwer Academic Publishers, Dordrecht, Holland, 2000.
    • (2000) Applications and Algorithms of Complementarity
    • Mangasarian, O.L.1    Musicant, D.R.2
  • 28
    • 0031334889 scopus 로고    scopus 로고
    • An Improved Training Algorithm for Support Vector Machines
    • Amelia Island, Florida
    • OSUNA, E., FREUND, R., and GIROSI, F., An Improved Training Algorithm for Support Vector Machines, Proceedings of IEEE NNSP'97, Amelia Island, Florida, pp. 24-26, 1997.
    • (1997) Proceedings of IEEE NNSP'97 , pp. 24-26
    • Osuna, E.1    Freund, R.2    Girosi, F.3
  • 29
    • 0003120218 scopus 로고    scopus 로고
    • Sequential Minimal Optimization: A Fast Algorithm for Training Support Vector Machines
    • Edited by B. Schoelkopf, C. Burges, and A. Smola, MIT Press, Cambridge, Massachusetts
    • PLATT, J., Sequential Minimal Optimization: A Fast Algorithm for Training Support Vector Machines, Advances in Kernel Methods: Support Vector Learning, Edited by B. Schoelkopf, C. Burges, and A. Smola, MIT Press, Cambridge, Massachusetts, pp. 185-208, 1999.
    • (1999) Advances in Kernel Methods: Support Vector Learning , pp. 185-208
    • Platt, J.1
  • 33
    • 0041347160 scopus 로고
    • Global Tree Optimization: A Nongreedy Decision-Tree Algorithm
    • BENNETT, K. P., Global Tree Optimization: A Nongreedy Decision-Tree Algorithm, Computing Science and Statistics, Vol. 26, pp. 156-160, 1994.
    • (1994) Computing Science and Statistics , vol.26 , pp. 156-160
    • Bennett, K.P.1
  • 34
    • 0042849898 scopus 로고    scopus 로고
    • Optimal Decision Trees
    • Rensselaer Polytechnic Institute, Troy, NY
    • BENNETT, K. P., and BLUE, J., Optimal Decision Trees, Mathematics Report 96-214, Rensselaer Polytechnic Institute, Troy, NY, 1996.
    • (1996) Mathematics Report 96-214
    • Bennett, K.P.1    Blue, J.2
  • 35
    • 10044289034 scopus 로고    scopus 로고
    • A Support Vector Machine Approach to Decision Trees
    • Rensselaer Polytechnic Institute, Troy, NY
    • BENNETT, K. P., and BLUE, J., A Support Vector Machine Approach to Decision Trees, Mathematics Reports 97-100, Rensselaer Polytechnic Institute, Troy, NY, 1997.
    • (1997) Mathematics Reports 97-100
    • Bennett, K.P.1    Blue, J.2
  • 39
    • 0000832228 scopus 로고
    • On the Complexity of Polyhedral Separability
    • MEGIDDO, N., On the Complexity of Polyhedral Separability, Discrete and Computational Geometry, Vol. 3, pp. 325-337, 1988.
    • (1988) Discrete and Computational Geometry , vol.3 , pp. 325-337
    • Megiddo, N.1
  • 40
    • 9744230869 scopus 로고    scopus 로고
    • Piecewise Concavity and Discrete Approaches to Continuous Minmax Problems
    • Edited by P. M. Pardalos, Kluwer Academic Publishers, Dordrecht, Holland
    • TARDELLA, F., Piecewise Concavity and Discrete Approaches to Continuous Minmax Problems, Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems, Edited by P. M. Pardalos, Kluwer Academic Publishers, Dordrecht, Holland, 1999.
    • (1999) Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems
    • Tardella, F.1
  • 42
    • 0347122494 scopus 로고    scopus 로고
    • A Parametric Optimization Method for Machine Learning
    • BENNETT, K. P., and BREDENSTEINER, E. J., A Parametric Optimization Method for Machine Learning, INFORMS Journal on Computing, Vol. 9, pp. 311-318, 1997.
    • (1997) INFORMS Journal on Computing , vol.9 , pp. 311-318
    • Bennett, K.P.1    Bredensteiner, E.J.2


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