106 citations · 673 across the 38 of their papers we have counts for
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math.AT2019★ 30 cited
Probabilistic Convergence and Stability of Random Mapper Graphs
Adam Brown, Omer Bobrowski, Elizabeth Munch +1
We study the probabilistic convergence between the mapper graph and the Reeb graph of a topological space equipped with a continuous function $f: \mathbb{X} \rightarro…
math.AT2018★ 19 cited
Evolutionary homology on coupled dynamical systems
Zixuan Cang, Elizabeth Munch, Guo-Wei Wei
Time dependence is a universal phenomenon in nature, and a variety of mathematical models in terms of dynamical systems have been developed to understand the time-dependent behavio…
math.AT2014★ 21 cited
Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs
Ulrich Bauer, Elizabeth Munch, Yusu Wang
The Reeb graph is a construction that studies a topological space through the lens of a real valued function. It has widely been used in applications, however its use on real data…