2 papers
math.AT2025
Continuous persistence landscapes
Wanchen Zhao, Peter Bubenik
As the size of data increase, persistence diagrams often exhibit structured asymptotic behavior, converging weakly to a Radon measure. However, conventional vector summaries such a…
math.AT2025
A rank-based distance for interval modules and Wasserstein stability of persistence landscapes
Wanchen Zhao, Peter Bubenik
Barcodes and persistence diagrams have a canonical one-parameter family of distances called Wasserstein distances. These distances depend on a choice of distance for interval modul…