Persistent homology, persistence diagram and applications

• Grant number: 20/08829-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2020
• End date: February 28, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Thiago de Melo
• Grantee: Richard Guilherme dos Santos
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

In this project, we will study persistent homology. To do that we will make use of some diagrams known as barcodes. Finally, we will apply such methods of data analysis to illustrate its efficiency and relevance.