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A study of singularities on deep neural networks

Grant number: 21/00851-7
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): March 01, 2021
Effective date (End): 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 been applied 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 of machine learning in deep neural networks.

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