Computer methods and applications

• Grant number: 14/26514-3
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: October 09, 2015
• End date: December 08, 2015
• Field of knowledge: Interdisciplinary Subjects
• Principal Investigator: Juan Carlos Gutiérrez Fernández
• Grantee: Juan Carlos Gutiérrez Fernández
• Visiting researcher: José Ignacio Martínez Torrez
• Visiting researcher institution: Universidad Rey Juan Carlos, Móstoles (URJC), Spain
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

We intend to work in the following three relatively different subjects using computational techniques: (1) Support Vector Machines (SVM) belong to a family of supervised learning algorithms that can efficiently solve classification and regression problems. In this project we propose two improvements for the SVM classification problem with a strong emphasis in the hardware implementation; (2) Build computationally nuclear Bernstein-Jordan algebra, and use this software to solve algebraic problems; (3) study the derivations of Weyl type algebras. (AU)