47 citations · 177 across the 25 of their papers we have counts for
4 papers · 1 filter
Persistent (Co)Homology in Matrix Multiplication Time
Dmitriy Morozov, Primoz Skraba
Most algorithms for computing persistent homology do so by tracking cycles that represent homology classes. There are many choices of such cycles, and specific choices have found d…
Approximating Metric Magnitude of Point Sets
Rayna Andreeva, James Ward, Primoz Skraba +2
Metric magnitude is a measure of the "size" of point clouds with many desirable geometric properties. It has been adapted to various mathematical contexts and recent work suggests…
Universality in Random Persistent Homology and Scale-Invariant Functionals
Omer Bobrowski, Primoz Skraba
In this paper, we prove a universality result for the limiting distribution of persistence diagrams arising from geometric filtrations over random point processes. Specifically, we…
Probabilistic Analysis of Multiparameter Persistence Decompositions
Ángel Javier Alonso, Michael Kerber, Primoz Skraba
Multiparameter persistence modules can be uniquely decomposed into indecomposable summands. Among these indecomposables, intervals stand out for their simplicity, making them prefe…