Feature Selection via Mathematical Programming

Published Online:https://doi.org/10.1287/ijoc.10.2.209

References

  • Bennett K. P. , Mangasarian O. L. , Pardalos P. M. Neural Network Training via Linear Programming. Advances in Optimization and Parallel Computing (1992) (North Holland, Amsterdam) 56 67 Google Scholar
  • Bennett K. P. , Mangasarian O. L. Robust Linear Programming Discrimination of Two Linearly Inseparable Sets. Optimization Methods and Software (1992) 1 23 34 CrossrefGoogle Scholar
  • Bennett K. P. , Mangasarian O. L. Bilinear Separation of Two Sets in n-Space. Computational Optimization and Applications (1993) 2 207 227 CrossrefGoogle Scholar
  • Bredensteiner E. J. , Bennett K. P. Feature Minimization within Decision Trees. Computational Optimization and Applications (1998) 10 111 126 Google Scholar
  • Brooke A. , Kendrick D. , Meeraus A. GAMS: A User's Guide (1988) (The Scientific Press, South San Francisco) Google Scholar
  • Chen C.-H. , Mangasarian O. L. Hybrid Misclassification Minimization. Advances in Computational Mathematics (1996) 5 127 136 . Available ftp://ftp.cs.wisc.edu/math-prog/tech-reports/95-05.ps.Z CrossrefGoogle Scholar
  • Chung S.-J. Np-Completeness of the Linear Complementarity Problem. Journal of Optimization Theory Applications (1989) 60 393 399 CrossrefGoogle Scholar
  • Cottle R. W. , Pang J.-S. , Stone R. E. The Linear Complementarity Problem (1992) (Academic Press, New York) Google Scholar
  • Garcia Palomares U. M. , Mangasarian O. L. Superlinearly Convergent Quasi-Newton Algorithms for Nonlinearly Constrained Optimization Problems. Mathematical Programming (1976) 11 1 13 CrossrefGoogle Scholar
  • Han S.-P. Superlinearly Convergent Variable Metric Algorithms for General Nonlinear Programming Problems. Mathematical Programming (1976) 11 263 282 CrossrefGoogle Scholar
  • Hassoun M. H. Fundamentals of Artificial Neural Networks (1995) (MIT Press, Cambridge, MA) Google Scholar
  • Hertz J. , Krogh A. , Palmer R. G. Introduction to the Theory of Neural Computation (1991) (Addison-Wesley, Redwood City, CA) Google Scholar
  • Huber P. J. Robust Statistics (1981) (John Wiley, New York) CrossrefGoogle Scholar
  • IBM Optimization Subroutine Library GAMS—The Solver Manuals: OSL (1994) (GAMS Development Corporation, Washington, D.C) Google Scholar
  • John G. H. , Kohavi R. , Pfleger K. Irrelevant Features and the Subset Selection Problem. Proceedings of the 11th International Conference on Machine Learning (1994) (Morgan Kaufmann, San Mateo, CA) CrossrefGoogle Scholar
  • Kira K. , Rendell L. The Feature Selection Problem: Traditional Methods and a New Algorithm. Proceedings of the 10th National Conference on Artificial Intelligence (1992) (Morgan Kaufmann, San Mateo, CA) 129 134 Google Scholar
  • Kittler J. , Young T. Y. , Fu K.-S. Feature Selection and Extraction. Handbook of Pattern Recognition and Image Processing (1986) (Academic Press, New York) Google Scholar
  • Le Cun Y. , Denker J. S. , Solla S. A. , Touretzky D. S. Optimal Brain Damage. Advances in Neural Information Processing Systems II (Denver 1989) (1990) (Morgan Kaufmann, San Mateo, CA) 598 605 Google Scholar
  • Luo Z.-Q. , Pang J.-S. , Ralph D. , Wu S.-Q. Mathematical Programs with Equilibrium Constraints. Mathematical Programming (1996) 75 19 76 CrossrefGoogle Scholar
  • Mangasarian O. L. Mathematical programming in neural networks. ORSA Journal on Computing (1993) 5 349 360 LinkGoogle Scholar
  • Mangasarian O. L. Misclassification Minimization. Journal of Global Optimization (1994) 5 309 323 CrossrefGoogle Scholar
  • Mangasarian O. L. , Fischer H. , Riedmueller B. , Schaeffler S. Machine Learning via Polyhedral Concave Minimization. Applied Mathematics and Parallel Computing—Festschrift for Klaus Ritter (1996) (Physica-Verlag, A Springer-Verlag Company, Heidelberg) . Available at ftp://ftp.cs.wisc.edu/math-prog/tech-reports/95-20.ps.Z CrossrefGoogle Scholar
  • Mangasarian O. L. , Street W. N. , Wolberg W. H. Breast Cancer Diagnosis and Prognosis via Linear Programming. Operations Research (1995) 43 570 577 LinkGoogle Scholar
  • Mathiesen L. An Algorithm Based on a Sequence of Linear Complementarity Problems Applied to a Walrasian Equilibrium Model: An Example. Mathematical Programming (1987) 37 1 18 CrossrefGoogle Scholar
  • Mathworks, Inc. PRO-MATLAB for UNIX Computers (1991) (The Mathworks Inc., South Natick, MA) Google Scholar
  • Mukhopadhyay S. , Roy A. , Govil S. A Polynomial Time Algorithm for Generating Neural Networks for Pattern Classification: Its Stability Properties and Some Test Results. Neural Computation (1993) 5 317 330 CrossrefGoogle Scholar
  • Murphy P. M. , Aha D. W. UCI repository of machine learning databases. (1992) (Department of Information and Computer Science, University of California, Irvine, CA) . www.ics.uci.edu/~mlearn/MLRepository.html Google Scholar
  • Murtagh B. A. , Saunders M. A. 1992. MINOS 5.0 User's Guide. (1983) . Technical report SOL 83.20, Stanford University, MINOS 5.4 Release Notes Google Scholar
  • Polyak B. T. Introduction to Optimization (1987) (Optimization Software Inc. Publications Division, New York) Google Scholar
  • Roy A. , Kim L. S. , Mukhopadhyay S. A Polynomial Time Algorithm for the Construction and Training of a Class of Multilayer Perceptrons. Neural Networks (1993) 6 535 545 CrossrefGoogle Scholar
  • Rumelhart D. E. , Hinton G. E. , Williams R. J. , Rumelhard D. E. , McClelland J. L. Learning Internal Representations by Error Propagation. Parallel Distributed Processing (1986) (MIT Press, Cambridge, MA) Google Scholar
  • Rumelhart D. E. , McClelland J. L. Parallel Distributed Processing (1986) (MIT Press, Cambridge, MA) CrossrefGoogle Scholar
  • Siedlecki W. , Sklansky J. On Automatic Feature Selection. International Journal of Pattern Recognition Artificial Intelligence (1988) 2 197 220 CrossrefGoogle Scholar
  • Sigillito V. G. , Wing S. P. , Hutton L. V. , Baker K. B. Classification of Radar Returns From the Ionosphere Using Neural Networks. (1989) (Johns Hopkins University, Baltimore, MD) . APL Technical Digest 10 Google Scholar
  • Stone M. Cross-Validatory Choice and Assessment of Statistical Predictions. Journal of the Royal Statistical Society (1974) 36 111 147 Google Scholar
  • Wolberg W. H. , Street W. N. , Mangasarian O. L. WPBC: Wisconsin prognostic breast cancer database. (1995) (Computer Sciences Department, University of Wisconsin, Madison, WI) . ftp://ftp.cs.wisc.edu/math-prog/cpo-dataset/machine-learn/WPBC/ Google Scholar
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