Degree Type

Creative Component

Semester of Graduation

Spring 2021

Department

Mathematics

First Major Professor

Dr. Michael Catanzaro

Degree(s)

Master of Science (MS)

Major(s)

Mathematics

Abstract

Persistent homology provides a geometric and topological view on data sets and is often used in conjunction with more traditional statistical methods. In this essay, we discuss a vectorization scheme of persistent homology, known as persistence landscapes. We develop a package in python to compute persistence landscapes and preform the necessary tasks for statistical analysis. This includes computing linear combinations and norms of persistence landscapes. We also present a modified algorithm to compute persistence landscapes on a user specified grid.

Copyright Owner

Angeloro, Gabrielle

File Format

PDF

Embargo Period (admin only)

12-1-2020

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