17 citations · 30 across the 3 of their papers we have counts for
7 papers
A Relative Theory of Interleavings
Magnus Bakke Botnan, Justin Curry, Elizabeth Munch
The interleaving distance, although originally developed for persistent homology, has been generalized to measure the distance between functors modeled on many posets or even small…
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…
Chatter Diagnosis in Milling Using Supervised Learning and Topological Features Vector
Melih C. Yesilli, Sarah Tymochko, Firas A. Khasawneh +1
Chatter detection has become a prominent subject of interest due to its effect on cutting tool life, surface finish and spindle of machine tool. Most of the existing methods in cha…
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…
Persistent Homology of Complex Networks for Dynamic State Detection
Audun Myers, Elizabeth Munch, Firas A. Khasawneh
In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persiste…