PyLandscapes: A Python Implementation of Persistence Landscapes

Abstract

<p>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.</p>