Quadractic optimization applied to breast cancer detection

• Grant number: 13/20563-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2014
• End date: February 28, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Gabriel Haeser
• Grantee: Renan Brito Butkeraites
• Host Institution: Instituto de Ciência e Tecnologia (ICT). Universidade Federal de São Paulo (UNIFESP). Campus São José dos Campos. São José dos Campos , SP, Brazil
• Associated research grant: 10/19720-5 - Optimality conditions and inexact restoration, AP.JP

Abstract

In this project we study applications of quadratic optimization tools to the problem of breast cancer detection. The student will be in contact both with optimization and medical literetures, where optimization tools are applied. Initially, ongoing studies on linear optimization will be concluded. Support Vector Machines will be studied to classify data. Emphasis will be given on duality, interior point methods and generalizations to quadratic problems. An implementation will be provided of and interior point method on a real breast cancer dataset. (AU)