16 citations · 29 across the 4 of their papers we have counts for
7 papers
Notes on an Elementary Proof for the Stability of Persistence Diagrams
Primoz Skraba, Katharine Turner
These notes are a self-contained short proof of the stability of persistence diagrams.
Euler Characteristic Surfaces
Gabriele Beltramo, Rayna Andreeva, Ylenia Giarratano +3
We study the use of the Euler characteristic for multiparameter topological data analysis. Euler characteristic is a classical, well-understood topological invariant that has appea…
Homological Percolation: The Formation of Giant k-Cycles
Omer Bobrowski, Primoz Skraba
In this paper we introduce and study a higher-dimensional analogue of the giant component in continuum percolation. Using the language of algebraic topology, we define the notion o…
Homological Percolation and the Euler Characteristic
Omer Bobrowski, Primoz Skraba
In this paper we study the connection between the phenomenon of homological percolation (the formation of "giant" cycles in persistent homology), and the zeros of the expected Eule…
A Topology Layer for Machine Learning
Rickard Brüel-Gabrielsson, Bradley J. Nelson, Anjan Dwaraknath +3
Topology applied to real world data using persistent homology has started to find applications within machine learning, including deep learning. We present a differentiable topolog…
Persistence modules: Algebra and algorithms
Primoz Skraba, Mikael Vejdemo-Johansson
Persistent homology was shown by Carlsson and Zomorodian to be homology of graded chain complexes with coefficients in the graded ring $\kk[t]$. As such, the behavior of persistenc…