289 citations · 628 across the 35 of their papers we have counts for
4 papers · 1 filter
On the Metric Distortion of Embedding Persistence Diagrams into separable Hilbert spaces
Mathieu Carriere, Ulrich Bauer
Persistence diagrams are important descriptors in Topological Data Analysis. Due to the nonlinearity of the space of persistence diagrams equipped with their {\em diagram distances…
Persistent Betti numbers of random Čech complexes
Ulrich Bauer, Florian Pausinger
We study the persistent homology of random Čech complexes. Generalizing a method of Penrose for studying random geometric graphs, we first describe an appropriate theoretical frame…
The Reeb Graph Edit Distance is Universal
Ulrich Bauer, Claudia Landi, Facundo Memoli
We consider the setting of Reeb graphs of piecewise linear functions and study distances between them that are stable, meaning that functions which are similar in the supremum norm…
Hardness of Approximation for Morse Matching
Ulrich Bauer, Abhishek Rathod
Discrete Morse theory has emerged as a powerful tool for a wide range of problems, including the computation of (persistent) homology. In this context, discrete Morse theory is use…