3 citations · 3 across the 3 of their papers we have counts for
3 papers
cs.CG2024
Morse Theory for the k-NN Distance Function
Yohai Reani, Omer Bobrowski
We study the -th nearest neighbor distance function from a finite point-set in . We provide a Morse theoretic framework to analyze the sub-level set topology. In p…
math.AT2023
Cluster-Persistence for Weighted Graphs
Omer Bobrowski, Primoz Skraba
Persistent homology is a natural tool for probing the topological characteristics of weighted graphs, essentially focusing on their -dimensional homology. While this area has be…
math.ST2022★ 3 cited
On the Universality of Random Persistence Diagrams
Omer Bobrowski, Primoz Skraba
One of the most elusive challenges within the area of topological data analysis is understanding the distribution of persistence diagrams. Despite much effort, this is still largel…