2 papers
math.AT2024
Density Sensitive Bifiltered Dowker Complexes via Total Weight
Niklas Hellmer, Jan Spaliński
In this paper, we introduce new density-sensitive bifiltrations for data using the framework of Dowker complexes. Previously, Dowker complexes were studied to address directional o…
math.PR2024
When Do Two Distributions Yield the Same Expected Euler Characteristic Curve in the Thermodynamic Limit?
Tobias Fleckenstein, Niklas Hellmer
Let be a probability distribution on which admits a bounded density. We investigate the Euler characteristic of the Čech complex on points sampled from i…