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most citedTopology-Driven Goodness-of-Fit Tests in Arbitrary Dimensions

6 citations · 7 across the 3 of their papers we have counts for

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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…