Page type: faculty

Olvi L. Mangasarian's Home Page;;Olvi L. Mangasarian; John von Neumann Professor of Mathematics and Computer Sciences,;and member of the Center for the Mathematical Sciences; Computer Sciences Department; University of Wisconsin; 1210 W. Dayton St.; Madison, WI 53706-1685; Telephone: (608) 262-1204; Fax: (608) 262-9777; Email: olvi@cs.wisc.edu;Ph.D., Harvard University, 1959;Interests:;Mathematical programming, machine learning, and parallel computing; Research Summary;Optimization theory is rich mathematically while being very effective;computationally in solving many real-life problems. My interests;in this topic have ranged over a broad spectrum that encompasses;theoretical aspects, such as error bounds for mathematical programs;and variational inequalities, convergence proofs for parallel;gradient and variable distribution algorithms for optimization,;smoothing techniques for solving constrained optimization problems;as differentiable nonlinear equations, as well as applications;to machine learning, both in general and specific contexts. An;important aspect of my research is the use of mathematical programming;techniques in diagnosing breast cancer, that has resulted in a;highly accurate computerized diagnostic system in current use;at University of Wisconsin Hospitals.; Current PhD Students;; Paul Bradley; Recent Publications; O. L. Mangasarian and M. V. Solodov;A Linearly Convergent Descent Method for Strongly Monotone;Complementarity Problems.;Mathematical Programming Technical Report 96-07, October 1996.; O. L. Mangasarian and Jong-Shi Pang;Exact Penalty Functions for Mathematical Programs;with Linear Complementarity Constraints.;Mathematical Programming Technical Report 96-06, August 1996.; O. L. Mangasarian;Mathematical Programming in Data Mining;Mathematical Programming Technical Report 96-05, August 1996.; O. L. Mangasarian;Error Bounds for Nondifferentiable Convex Inequalities under a Strong S;later Constraint Qualification.;Mathematical Programming Technical Report 96-04, July 1996.; P. S. Bradley, O. L. Mangasarian and W. N. Street;;Clustering via Concave Minimization.;Mathematical Programming Technical Report 96-03, May 1996.;Submitted to Neural Information Processing Systems 1996.; W. N. Street, O. L. Mangasarian and W. H. Wolberg;;Individual and Collective Prognostic Prediction.;Mathematical Programming Technical Report 96-01, January 1996.; P. S. Bradley, O. L. Mangasarian and W. N. Street;;Feature Selection via Mathematical Programming.;Mathematical Programming Technical Report 95-21, December 1995.;Submitted to INFORMS Journal on Computing.; O. L. Mangasarian;;Machine Learning via Polyhedral Concave Minimization.;Mathematical Programming Technical Report 95-20, November 1995.;"Applied Mathematics and Parallel Computing -- Festschrift for;Klaus Ritter", H. Fischer, B. Riedmueller, S. Schaeffler, editors,;Physica-Verlag, Germany 1996, 175-188.; O. L. Mangasarian;;The Ill-Posed Linear Complementarity Problem.;Mathematical Programming Technical Report 95-15, August 1995.;Submitted to SIAM Proceedings of the International;Symposium on Complementarity Problems, Baltimore, MD,;November 1-4, 1995. Revised November 1995.; W. Nick Street and O. L. Mangasarian;;Improved Generalization via Tolerant Training.;Mathematical Programming Technical Report 95-11, July 1995.; O. L. Mangasarian;;Mathematical Programming in Machine Learning.;Mathematical Programming Technical Report 95-06, April 1995,;Revised July 1995.;To appear in Proceedings of Nonlinear Optimization and;Applications Workshop, Erice June 1995, Plenum Press.; Chunhui Chen and O. L. Mangasarian;;Hybrid Misclassification Minimization.;Mathematical Programming Technical Report 95-05, February 1995,;Revised July 1995 and August 1995.;To appear in Advances in Computational Mathematics.; O. L. Mangasarian;;Optimization in Machine Learning.;Mathematical Programming Technical Report 95-01, January 1995.;SIAG/OPT Views-and-News 6, 1995, 3-7.; Chunhui Chen and O. L. Mangasarian;;A Class of Smoothing Functions for Nonlinear and Mixed Complementarity Problems.;Mathematical Programming Technical Report 94-11, August 1994.;Revised October 1994, February 1995 and September 1995.;Computational Optimization and Applications 5, 1996, 97-138.; O. L. Mangasarian, W. Nick Street and W. H. Wolberg;;Breast Cancer Diagnosis and Prognosis via Linear Programming.;Mathematical Programming Technical Report 94-10, August 1994.;Revised December 1994.;Operations Research 43(4), July-August 1995, 570-577.; O. L. Mangasarian;;The Linear Complementarity Problem as a Separable Bilinear Program.;Mathematical Programming Technical Report 94-09, July 1994.;Journal of Global Optimization 6, 1995, 153-161.; O. L. Mangasarian and M. V. Solodov;;Backpropagation Convergence via Deterministic Nonmonotone Perturbed Minimization.;Mathematical Programming Technical Report 94-06, June 1994.;Advances in Neural Information Processing Systems 6,;(J. D. Cowan, G. Tesauro and J. Alspector, editors) 383-390,;Morgan Kaufmann Publishers, San Francisco, California 1994.; Chunhui Chen and O. L. Mangasarian;;Smoothing Methods for Convex Inequalities;and Linear Complementarity Problems.;Computer Sciences Technical Report 1191r, November 1993.;Revised November 1994.;Mathematical Programming 71, 1995, 51-69.; O. L. Mangasarian;;Misclassification Minimization.;Computer Sciences Technical Report 1186, October 1993.;Revised September 1994.;Journal of Global Optimization 5(4), December 1994, 309-323.; O. L. Mangasarian and M. V. Solodov;;Serial and Parallel Backpropagation for Neural Nets via;Nonmonotone Perturbed Minimnization.;Computer Sciences Technical Report 1149r, April 1993.;Revised December 1993.;Optimization Methods and Software 4, 1994, 103-116.;Chronological cancer bibliography; WWW Page of Other Publications of MP Group at Wisconsin;ftp papers and reports;View and download papers and reports of MP Group;View home page of MP Group.; periodically updated by olvi@cs.wisc.edu;