Data Mining Technical Reports

2016 Technical Reports

O. L. Mangasarian: Sufficient Conditions for the Unsolvability and Solvability of the Absolute Value Equation Data Mining Institute Technical Report 16-01, August 2016. Optimization Letters 11(7) 2017, 1469-1475.

2014 Technical Reports

G. M. Fung & O. L. Mangasarian: Unsupervised and Semisupervised Classification via Absolute Value Inequalities Data Mining Institute Technical Report 14-03, May 2014. Journal of Optimization Theory and Applications 168(2) 2016, 551-558.

O. L. Mangasarian: A Hybrid Algorithm for Solving the Absolute Value Equation Data Mining Institute Technical Report 14-02, April 2014. Optimization Letters, 9(7) 2015, 1469-1474.

O. L. Mangasarian: Unsupervised Classification via Convex Absolute Value Inequalities Data Mining Institute Technical Report 14-01, March 2014. Optimization 64(1) 2015, 81-86.

2013 Technical Reports

O. L. Mangasarian: Linear Complementarity as Absolute Value Equation Solution Data Mining Institute Technical Report 13-02, March 2013. Optimization Letters 8(04) 2014, 1529-1534.

O. L. Mangasarian: Absolute Value Equation Solution via Linear Programming Data Mining Institute Technical Report 13-01, February 2013. Journal of Optimization Theory and Applications 161, 870-876, 2014.

2011 Technical Reports

G. M. fung and O. L. Mangasarian: Privacy-Preserving Linear and Nonlinear Approximation via Linear Programming
PDF Version
Data Mining Institute Technical Report 11-04, October 2011. Optimization Methods and Software 28(1), 207-216, 2013.

O. L. Mangasarian: Absolute Value Equation Solution via Dual Complementarity
PDF Version
Data Mining Institute Technical Report 11-03, September 2011. Optimization Letters 7(4), 2013, 625-630.

G. M. Fung and O. L. Mangasarian: Equivalence of Minimal 0-Norm and p-Norm Solutions of Linear Equalities, Inequalities and Linear Programs for Sufficiently Small p
PDF Version
Data Mining Institute Technical Report 11-02, April 2011. Journal of Optimization Theory and Applications 151, 2011, 1-10.

O. L. Mangasarian: Primal-Dual Bilinear Programming Solution of the Absolute Value Equation
PDF Version
Data Mining Institute Technical Report 11-01, February 2011. Optimization Letters 6(7), 1527-1533, 2012.

2010 Technical Reports

O. L. Mangasarian: Privacy-Preserving Horizontally-Partitioned Linear Programs
PDF Version
Data Mining Institute Technical Report 10-02, April 2010. Optimization Letters 6(3), 431-436, 2012.

O. L. Mangasarian: Privacy-Preserving Linear Programming
PDF Version
Data Mining Institute Technical Report 10-01, March 2010. Optimization Letters 5, 165-172, 2011.

2009 Technical Reports

O. L. Mangasarian and Benjamin Recht: Probability of Unique Integer Solution to a System of Linear Equations
PDF Version
Data Mining Institute Technical Report 09-02, September 2009. European Journal of Operations Research 214 (2011) 27-30.

O. L. Mangasarian amd M. C. Ferris: Uniqueness of Integer Solution of Linear Equations
PDF Version
Data Mining Institute Technical Report 09-01, July 2009. Optimization Letters, to appear.

2008 Technical Reports

O. L. Mangasarian: Knapsack Feasibility as an Absolute Value Equation Solvable by Successive Linear Programming
PDF Version
Data Mining Institute Technical Report 08-03, September 2008. Optimization Letters 3(2) March 2009, 161-170. Online Version

O. L. Mangasarian and E.W. Wild: Privacy-Preserving Random Kernel Classification of Checkerboard Partitioned Data
PDF Version
Data Mining Institute Technical Report 08-02, September 2008. Annals of Information Systems XIII, 2010, 375-387.

O. L. Mangasarian: A Generalized Newton Method for Absolute Value Equations
PDF Version
Data Mining Institute Technical Report 08-01, May 2008. Optimization Letters 3(1), January 2009, 101-108. Online Version

2007 Technical Reports

O. L. Mangasarian and E. W. Wild: Privacy-Preserving Classification of Horizontally Partitioned Data via Random Kernels
PDF Version
Data Mining Institute Technical Report 07-03, November 2007. Proceedings of the 2008 International Conference on Data Mining DMIN08, Las Vegas July 2008, Volume II, 473-479, R. Stahlbock, S.V. Crone and S. Lessman, Editors.

O. L. Mangasarian, E. W. Wild and G. M. Fung: Privacy-Preserving Classification of Vertically Partitioned Data via Random Kernels
PDF Version
Data Mining Institute Technical Report 07-02, September 2007. ACM Transactions on Knowledge Discovery from Data (TKDD), Volume 2, Number 3, 2008.

O. L. Mangasarian and E. W. Wild: Exactness Conditions for a Convex Differentiable Exterior Penalty for Linear Programming
PDF Version
Data Mining Institute Technical Report 07-01, July 2007. Optimization 60, 2011, 3-14.

2006 Technical Reports

O. L. Mangasarian and M. E. Thompson: Chunking for Massive Nonlinear Kernel Classification
PDF Version
Data Mining Institute Technical Report 06-07, December 2006. Optimization Methods and Software 23, 2008, 365-274.

O. L. Mangasarian and E. W. Wild: Nonlinear Knowledge in Kernel Machines
PDF Version
Data Mining Institute Technical Report 06-06, November 2006. CRM Proceedings \& Lecture Notes, Volume 45, American Mathematical Society and Centre de Recherches Math\'{e}matiques at the Universit\'{e} de Montr\'{e}al, 2008, 181-198.

O. L. Mangasarian, E. W. Wild and G. M. Fung: Proximal Knowledge-Based Classification
PDF Version
Data Mining Institute Technical Report 06-05, November 2006. Statistical Analysis and Data Mining 1(4) 2009, 215-222.

O. L. Mangasarian & E. W. Wild: Nonlinear Knowledge-Based Classification
PDF Version
Data Mining Institute Technical Report 06-04, August 2006. IEEE Transactions on Neural Networks 19, October 2008, 1826-1832.

O. L. Mangasarian & E. W. Wild: Feature Selection for Nonlinear Kernel Support Vector Machines
PDF Version
Data Mining Institute Technical Report 06-03, July 2006. IEEE Seventh International Conference on Data Mining (ICDM'07) October 28, 2007, Omaha, NE, Workshop Proceedings 231-236.

O. L. Mangasarian: Absolute Value Equation Solution via Concave Minimization
PDF Version
Data Mining Institute Technical Report 06-02, March 2006. Optimization Letters 1(1), 2007, 3-8.

O. L. Mangasarian and M. E. Thompson: Massive Data Classification via Unconstrained Support Vector Machines
PDF Version
Data Mining Institute Technical Report 06-01, March 2006. Journal of Optimization Theory and Applications 131(3), December 2006, 315-325.

2005 Technical Reports

O. L. Mangasarian and R. R. Meyer: Absolute Value Equations
PDF Version
Data Mining Institute Technical Report 05-06, December 2005. Linear Algebra and Its Applications 419 (2006) 359-367.

O. L. Mangasarian and E. W. Wild: Nonlinear Knowledge in Kernel Approximation
PDF Version
Data Mining Institute Technical Report 05-05, October 2005. IEEE Transactions on Neural Networks 18, January 2007, 300-306.

O. L. Mangasarian: Absolute Value Programming
PDF Version
Data Mining Institute Technical Report 05-04, September 2005. Computational Optimization and Applications 36(1), January 2007, 43-53.

O. L. Mangasarian: Exact 1-Norm Support Vector Machines via Unconstrained Convex Differentiable Minimization
PDF Version
Data Mining Institute Technical Report 05-03, August 2005. Journal of Machine Learning Research 7, 2006, 1517-1530.

O. L. Mangasarian and E. W. Wild: Multiple Instance Classification via Successive Linear Programming
PDF Version
Data Mining Institute Technical Report 05-02, May 2005. Journal of Optimization Theory and Applications 137, 2008, 555-568.

O. L. Mangasarian, J. B. Rosen and M. E. Thompson: Nonconvex Piecewise-Quadratic Underestimation for Global Optimization
PDF Version
Data Mining Institute Technical Report 05-01, March 2005, Journal of Global Optimization 34(4), 2006, 475-488.

2004 Technical Reports

O. L. Mangasarian and E. W. Wild: Multisurface Proximal Support Vector Classification via Generalized Eigenvalues
PDF Version
Data Mining Institute Technical Report 04-03, June 2004. IEEE Transactions on Pattern Analysis and Machine Intelligence 28(1), 2006, 69-74.

O. L. Mangasarian, J. B. Rosen and M. E. Thompson: Convex Kernel Estimation of Functions with Multiple Local Minima
PDF Version
Data Mining Institute Technical Report 04-02, May 2004. Computational Optimization and Applications 34(1), 2006, 35-45.

O. L. Mangasarian and E. W. Wild: Feature Selection in k-Median Clustering
PDF Version
Data Mining Institute Technical Report 04-01, January 2004. SIAM International Conference on Data Mining, Workshop on Clustering High Dimensional Data and its Applications, April 24, 2004, La Buena Vista, FL, Proceedings, pages 23-28.

2003 Technical Reports

G. M. Fung and O. L. Mangasarian: Breast Tumor Susceptibility to Chemotherapy via Support Vector Machines
PDF Version
Data Mining Institute Technical Report 03-06, Novemebr 2003. Computational Management Science 3, 2006, 103-112.

O. L. Mangasarian, J. W. Shavlik and E. W. Wild: Knowledge-Based Kernel Approximation
PDF Version
Data Mining Institute Technical Report 03-05, October 2003. Journal of Machine Learning Research 5, 1127-1141, 2004.

O. L. Mangasarian: Knowledge-Based Linear Programming
PDF Version
Data Mining Institute Technical Report 03-04, July 2003. SIAM Journal on Optimization 15, 2005, 375-382.

O. L. Mangasarian, J. B. Rosen and M. E. Thompson: Global Minimization via Piecewise-Linear Underestimation
PDF Version
Data Mining Institute Technical Report 03-03, June 2003. Global Optimization 32, 2005, 1-9.

G. M. Fung, O. L. Mangasarian and J. W. Shavlik: Knowledge-Based Nonlinear Kernel Classifiers
PDF Version
Data Mining Institute Technical Report 03-02, March 2003. Conference On Learning Theory (COLT 03) and Workshop on Kernel Machines, Washington, D.C., August 24 - 27, 2003. Proceedings edited by Manfred Warmuth and Bernhard Sch\"olkopf, Springer Verlag, Berlin, 2003, 102-113. Conference On Learning Theory (COLT 03) and Workshop on Kernel Machines, Washington, D.C., August 24 - 27, 2003. Proceedings edited by Manfred Warmuth and Bernhard Sch\"olkopf, Springer Verlag, Berlin, 2003, 102-113.

O. L. Mangasarian: Support Vector Machine Classification via Parameterless Robust Linear Programming
PDF Version
Data Mining Institute Technical Report 03-01, March 2003. Optimization Methods and Software 20(1), 2005, 115-125.

2002 Technical Reports

Glenn Fung and O. L. Mangasarian: A Feature Selection Newton Method for Support Vector Machine Classification
PDF Version
Data Mining Institute Technical Report 02-03, September 2002. Computational Optimization and Applications, 28(2) 185-202, 2004.

O. L. Mangasarian: A Newton Method for Linear Programming
PDF Version
Data Mining Institute Technical Report 02-02, March 2002. Journal of Optimization Theory and Applications 121, 2004, 1-18.

Glenn Fung and O. L. Mangasarian: Finite Newton Method for Lagrangian Support Vector Machine Classification
PDF Version
Data Mining Institute Technical Report 02-01, February 2002. Neurocomputing 55, September 2003, 39-55.

2001 Technical Reports

Michael C. Ferris, Jin-Ho Lim and David M. Shepard: An Optimization Approach for Radiosurgery Treatment Planning
PDF Version
Data Mining Institute Technical Report 01-12, November 2001.

O. L. Mangasarian: A Finite Newton Method for Classification Problems
PDF Version
Data Mining Institute Technical Report 01-11, December 2001. Optimization Methods and Software 17, 2002, 913-929.

O. L. Mangasarian: Set Containment Characterization
PDF Version
Data Mining Institute Technical Report 01-10, November 2001. Journal of Global Optimization 24(4) December 2002, 473-480.

Glenn Fung, O. L. Mangasarian and Jude Shavlik: Knowledge-Based Support Vector Machine Classifiers
PDF Version
Data Mining Institute Technical Report 01-09, November 2001. ``Neural Information Processing Systems 15", S. Becker, S. Thrun and K. Obermeyer, editors, MIT Press, Cambridge, MA, 2003, 521-528.

Glenn Fung and O. L. Mangasarian: Incremental Support Vector Machine Classification
PDF Version
Data Mining Institute Technical Report 01-08, September 2001. Proceedings of the Second SIAM International Conference on Data Mining, Arlington, Virginia, April 11-13, 2002,R. Grossman, H. Mannila and R. Motwani (editors), SIAM, Philadelphia 2002, 247-260.

Michael C. Ferris and Meta M. Voelker: Cross-Validation, Support Vector Machines and Slice Models
PDF Version
Data Mining Institute Technical Report 01-07, August 2001.

Glenn Fung and O. L. Mangasarian: Multicategory Proximal Support Vector Machine Classifiers
PDF Version
Data Mining Institute Technical Report 01-06, July 2001. Machine Learning 59, 2005, 77-97.

O. L. Mangasarian: Data Mining via Support Vector Machines
PDF Version
Data Mining Institute Technical Report 01-05, May 2001. IFIP Conference on System Modelling and Optimization Proceedings, Trier, Germany, July 23-27, 2001. ``System Modeling and Optimization XX", E. W. Sachs and R. Tichatschke, editors, Kluwer Academic Publishers, Boston 2003, 91-112.

Krung Sinapiromsaran and Michael C. Ferris: Simulation Optimization Based on a Heterogeneous Computing Environment
Data Mining Institute Technical Report 01-04, March 2001.

Y.-J. Lee, O. L. Mangasarian and W. H. Wolberg: Survival-Time Classification of Breast Cancer Patients
PDF Version
Data Mining Institute Technical Report 01-03, March 2001. Computational Optimization and Applications, 25, 2003, 151-166.

Glenn Fung and O. L. Mangasarian: Proximal Support Vector Machine Classifiers
PDF Version
Data Mining Institute Technical Report 01-02, February 2001. KDD 2001, San Francisco, August 26-29, 2001. "Proceedings of the Seventh ACM SIGKDD International Conference on Knowledge Discovery and Data mining", F. Provost and R. Ramakrishnan, editors, 77-86, ACM, New York 2001.

Michael C. Ferris, Jin-Ho Lim and David M. Shepard: Radiosurgery Treatment Planning via Nonlinear Programming
PDF Version
Data Mining Institute Technical Report 01-01, January 2001.

2000 Technical Reports

Michael C. Ferris and Meta M. Voelker: Slice Models in General Purpose Modeling Systems
PDF Version
Data Mining Institute Technical Report 00-10, December 2000.

Michael C. Ferris and Todd S. Munson: Semismooth Support Vector Machines
PDF Version
Data Mining Institute Technical Report 00-09, November 2000.

Glenn Fung, O. L. Mangasarian & Alexander J. Smola: Minimal Kernel Classifiers
PDF Version
Data Mining Institute Technical Report 00-08, November 2000. Journal of Machine Learning Research 3, 2002, 303-321.

Yuh-Jye Lee and O. L. Mangasarian: RSVM: Reduced Support Vector Machines
PDF Version

Data Mining Institute Technical Report 00-07, July 2000. CD Proceedings of the First SIAM International Conference on Data Mining, Chicago, April 5-7, 2001, SIAM, Philadelphia, ISBN 0-89871-495-8.

O. L. Mangasarian and David R. Musicant: Lagrangian Support Vector Machines
PDF Version

Data Mining Institute Technical Report 00-06, June 2000. Journal of Machine Learning Research 1, March 2001, 161-177.

Michael C. Ferris and Todd S. Munson: Interior Point Methods for Massive Support Vector Machines
PDF Version
Data Mining Institute Technical Report 00-05, May 2000.

O. L. Mangasarian and David R. Musicant: Active Support Vector Machines
Data Mining Institute Technical Report 00-04, April 2000. Neural Information Processing Systems 2000 (NIPS 2000), Todd K. Lee, Thomas G. Dietterich and Volker Tresp, editors, MIT Press 2001, 577-583.

Michael C. Ferris, Todd S. Munson and Krung Sinapiromsaran: A Practical Approach to Sample-Path Simulation Optimization
PDF Version
In J.A. Joines, R.R. Barton, K. Kang, and P.A. Fishwick, editors, Proceedings of the 2000 Winter Simulation Conference, pages 795--804, Omnipress, Orlando, Florida, 2000.

G. Fung and O. L. Mangasarian: Data Selection for Support Vector Machine Classifiers
PDF Version
Data Mining Institute Technical Report 00-02, February 2000. "KDD-2000", Proceedings of the Sixth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, August 20-23, 2000, Boston, MA, R. Ramakrishnan & S. Stolfo, editors, ACM, NY 2000, 64-70.

Michael C. Ferris and David M. Shepard: Optimization of Gamma Knife Radiosurgery
PDF Version
In D.-Z. Du, P. Pardolas, and J. Wang, editors, Discrete Mathematical Problems with Medical Applications, Volume 55 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, pages 27--44, American Mathematical Society, 2000.

1999 Technical Reports

Qun Chen, Michael C. Ferris and Jeff T. Linderoth: FATCOP 2.0: Advanced Features on an Opportunistic Mixed Integer Programming Solver
Data Mining Institute Technical Report 99-11, December 1999 (revised April 2000).

Y.-J. Lee, O. L. Mangasarian and W. H. Wolberg: Breast Cancer Survival and Chemotherapy: A Support Vector Machine Analysis
Data Mining Institute Technical Report 99-10, December 1999. In D.-Z. Du, P. Pardolas, and J. Wang, editors, Discrete Mathematical Problems with Medical Applications, Volume 55 of DIMACS Series in Discrete Mathematics and Theoretical Computer Science, pages 1--10, American Mathematical Society, 2000.

O. L. Mangasarian and D. R. Musicant: Robust Linear and Support Vector Regression
Data Mining Institute Technical Report 99-09, November 1999. IEEE Tranactions on Pattern Analysis and Machine Intelligence, 22(9), September 2000.

V. Ganti, R. Ramakrishnan, J. Gehrke and W.-Y. Loh: A Framework for Measuring Distances in Data Characteristics
Data Mining Institute Technical Report 99-08, October 1999.

V. Ganti, J. Gehrke and R. Ramakrishnan: DEMON:Mining and Monitoring Evolving Data
Data Mining Institute Technical Report 99-07, October 1999.

V. Ganti, J. Gehrke and R. Ramakrishnan: CACTUS-Clustering Categorical Data Using Summaries
Data Mining Institute Technical Report 99-06, October 1999.

G. Fung and O. L. Mangasarian: Semi-Supervised Support Vector Machines for Unlabeled Data Classification
PDF Version
Data Mining Institute Technical Report 99-05, October 1999. Optimization Methods and Software 15(1), 2001, 29-44.

A. J. Smola, O. L. Mangasarian and B. Schoelkopf: Sparse Kernel Feature Analysis
Data Mining Institute Technical Report 99-04, October 1999.

Y.-J. Lee and O. L. Mangasarian: SSVM: A Smooth Support Vector Machine for Classification
Data Mining Institute Technical Report 99-03, September 1999. Computational Optimization and Applications, 5-22.

O. L. Mangasarian and D. R. Musicant: Large Scale Kernel Regression via Linear Programming
PDF Version
Data Mining Institute Technical Report 99-02, August 1999. Machine Learning 46 (1/3):255-269, January 2002.

P. S. Bradley, O. L. Mangasarian and D. R. Musicant: Optimization Methods in Massive Datasets
Data Mining Institute Technical Report 99-01, June 1999. In, "Handbook of Massive Datasets", James Abello, Panos M. Pardalos and Mauricio G. C. Resende, Editors, Kluwer Publishing, 2002, 439-472.

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