Estimating the persistent homology of ${\mathbb{R}}^n$-valued functions using function-geometric multifiltrations

Ethan André, Jingyi Li, David Loiseaux +1

Given an unknown ${\mathbb{R}}^n$-valued function $f$ on a metric space $X$, can we approximate the persistent homology of $f$ from a finite sampling of $X$ with known pairwise dista…