Persistent homology in topological data analysis

• Grant number: 21/14222-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2022
• End date: December 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Thaís Fernanda Mendes Monis
• Grantee: Marina Maria de Miguel
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

In this research project, we will make an initial study of persistent homology and its insertion in the area of topological data analysis (TDA) - a relatively new area of research that spans many disciplines, including topology, statistics, and learning machines, and computational geometry. (AU)