17 citations · 32 across the 4 of their papers we have counts for
5 papers · 1 filter
Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
Sarah Tymochko, Elizabeth Munch, Firas A. Khasawneh
Bifurcations in dynamical systems characterize qualitative changes in the system behavior. Therefore, their detection is important because they can signal the transition from norma…
Fast and Scalable Complex Network Descriptor Using PageRank and Persistent Homology
Mustafa Hajij, Elizabeth Munch, Paul Rosen
The PageRank of a graph is a scalar function defined on the node set of the graph which encodes nodes centrality information of the graph. In this article, we use the PageRank func…
Adaptive Partitioning for Template Functions on Persistence Diagrams
Sarah Tymochko, Elizabeth Munch, Firas A. Khasawneh
As the field of Topological Data Analysis continues to show success in theory and in applications, there has been increasing interest in using tools from this field with methods fo…
A Structural Average of Labeled Merge Trees for Uncertainty Visualization
Lin Yan, Yusu Wang, Elizabeth Munch +2
Physical phenomena in science and engineering are frequently modeled using scalar fields. In scalar field topology, graph-based topological descriptors such as merge trees, contour…
Computing Wasserstein Distance for Persistence Diagrams on a Quantum Computer
Jesse J. Berwald, Joel M. Gottlieb, Elizabeth Munch
Persistence diagrams are a useful tool from topological data analysis which can be used to provide a concise description of a filtered topological space. What makes them even more…