2 papers
math.ST2024
Two-sample tests for relevant differences in persistence diagrams
Johannes Krebs, Daniel Rademacher
We study two-sample tests for relevant differences in persistence diagrams obtained from --approximable data and . To this end, we co…
math.ST2023
On the stability of filtration functions for dependent data with applications to break detection
Johannes Krebs, Daniel Rademacher
In this paper, we study the stability of commonly used filtration functions in topological data analysis under small perturbations of the underlying nonrandom point cloud. Relying…