Browsing DMI Technical Reports by Title
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Radiosurgery Treatment Planning via Nonlinear Programming
(200101)The Gamma Knife is a highly specialized treatment unit that pro vides an advanced stereotactic approach to the treatment of tumors, vascular malformations, and pain disorders within the head. Inside a shielded treatment ... 
Robust Linear and Support Vector Regression
(200009)The robust Huber Mestimator, a differentiable cost function that is quadratic for small errors and linear otherwise, is modeled exactly, in the original primal space of the problem, by an easily solvable simple convex ... 
RSVM: Reduced Support Vector Machines
(200101)An algorithm is proposed which generates a nonlinear kernelbased separating surface that requires as little as 1% of a large dataset for its explicit evaluation. To generate this nonlinear surface, the entire dataset ... 
Semismooth Support Vector Machines
(20001129)The linear support vector machine can be posed as a quadratic pro gram in a variety of ways. In this paper, we look at a formulation using the twonorm for the misclassi cation error that leads to a positive de  nite ... 
Set Containment Characterization
(2001)Characterization of the containment of a polyhedral set in a closed halfspace, a key factor in generating knowledgebased support vector machine classi ers [7], is extended to the following: (i) Containment of one ... 
SIMULATION OPTIMIZATION BASED ON A HETEROGENEOUS COMPUTING ENVIRONMENT
(2001)We solve a simulation optimization using a deterministic nonlinear solver based on the samplepath concept. The method used a quadratic model built from a collection of surrounding simulation points. The scheme does not ... 
Slice Models in General Purpose Modeling Systems
(20001214)Slice models are collections of mathematical programs with the same structure but di erent data. Examples of slice models appear in Data Envelopment Analysis, where they are used to evaluate e ciency, and crossvalidation, ... 
SSVM: A Amooth Support Vector Machine for Classification
(1999)Smoothing methods, extensively used for solving important math ematical programming problems and applications, are applied here to generate and solve an unconstrained smooth reformulation of the support vector machine ... 
Support Vector Machine Classi cation via Parameterless Robust Linear Programming
(2003)We show that the problem of minimizing the sum of arbitrarynorm real distances to misclassi ed points, from a pair of parallel bounding planes of a classi cation problem, divided by the margin (distance) be tween the ... 
SurvivalTime Classi cation of Breast Cancer Patients
(2001)The identi cation of breast cancer patients for whom chemother apy could prolong survival time is treated here as a data mining prob lem. This identi cation is achieved by clustering 253 breast cancer patients into ...