A Study of Singularities on Deep Neural Networks

• Grant number: 21/00851-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2021
• End date: December 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Maria Aparecida Soares Ruas
• Grantee: Ana Letícia Garcez Vicente
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 19/21181-0 - New frontiers in Singularity Theory, AP.TEM

Abstract

Singularity Theory is a branch of mathematics whose tools and techniques have beenapplied in several branches of science and technology including robotics, autonomous vehicles, computer graphics, image processing, and network structure. In this project we aim to develop a study of the tools and techniques of Singularity Theory and Applied Math which has recently been used to address problems ofmachine learning in deep neural networks.