Ontology highlight
ABSTRACT:
SUBMITTER: Bobrowski O
PROVIDER: S-EPMC10382541 | biostudies-literature | 2023 Jul
REPOSITORIES: biostudies-literature
Bobrowski Omer O Skraba Primoz P
Scientific reports 20230728 1
One of the most elusive challenges within the area of topological data analysis is understanding the distribution of persistence diagrams arising from data. Despite much effort and its many successful applications, this is largely an open problem. We present a surprising discovery: normalized properly, persistence diagrams arising from random point-clouds obey a universal probability law. Our statements are based on extensive experimentation on both simulated and real data, covering point-clouds ...[more]