Elizabeth Munch
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A user’s guide to topological data analysis
E Munch
Journal of Learning Analytics 4 (2), 47–61-47–61, 2017
Categorified reeb graphs
V De Silva, E Munch, A Patel
Discrete & Computational Geometry 55 (4), 854-906, 2016
Chatter detection in turning using persistent homology
FA Khasawneh, E Munch
Mechanical Systems and Signal Processing 70, 527-541, 2016
Probabilistic Fréchet means for time varying persistence diagrams
E Munch, K Turner, P Bendich, S Mukherjee, J Mattingly, J Harer
Persistent homology of complex networks for dynamic state detection
A Myers, E Munch, FA Khasawneh
Physical Review E 100 (2), 022314, 2019
Convergence between Categorical Representations of Reeb Space and Mapper
E Munch, B Wang
32nd International Symposium on Computational Geometry (SoCG 2016) 51, 53:1 …, 2016
Chatter Classification in Turning using Machine Learning and Topological Data Analysis
FA Khasawneh, ElizabethMunch, JA Perea
14th IFAC Workshop on Time Delay Systems TDS 2018: Budapest, Hungary, 28–30 …, 2018
Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs
U Bauer, E Munch, Y Wang
31st International Symposium on Computational Geometry (SoCG 2015) 34, 461--475, 2015
Applications of persistent homology to time varying systems
E Munch
Duke University, 2013
Theory of Interleavings on Categories with a Flow
V de Silva, E Munch, A Stefanou
Theory and Applications of Categories 33 (21), 583-607, 2018
The shape of things to come: Topological data analysis and biology, from molecules to organisms
EJ Amézquita, MY Quigley, T Ophelders, E Munch, DH Chitwood
Developmental Dynamics 249 (7), 816-833, 2020
A structural average of labeled merge trees for uncertainty visualization
L Yan, Y Wang, E Munch, E Gasparovic, B Wang
IEEE Transactions on Visualization and Computer Graphics 26 (1), 832-842, 2019
Topological and statistical behavior classifiers for tracking applications
P Bendich, SP Chin, J Clark, J Desena, J Harer, E Munch, A Newman, ...
IEEE Transactions on Aerospace and Electronic Systems 52 (6), 2644-2661, 2016
Using persistent homology to quantify a diurnal cycle in hurricanes
S Tymochko, E Munch, J Dunion, K Corbosiero, R Torn
Pattern Recognition Letters 133, 137-143, 2020
Intrinsic interleaving distance for merge trees
E Gasparovic, E Munch, S Oudot, K Turner, B Wang, Y Wang
arXiv preprint arXiv:1908.00063, 2019
Approximating continuous functions on persistence diagrams using template functions
JA Perea, E Munch, FA Khasawneh
Foundations of Computational Mathematics 23 (4), 1215-1272, 2023
Probabilistic convergence and stability of random mapper graphs
A Brown, O Bobrowski, E Munch, B Wang
Journal of Applied and Computational Topology 5 (1), 99-140, 2021
Computing Wasserstein distance for persistence diagrams on a quantum computer
JJ Berwald, JM Gottlieb, E Munch
arXiv preprint arXiv:1809.06433, 2018
Topological data analysis for true step detection in periodic piecewise constant signals
FA Khasawneh, E Munch
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2018
The -Cophenetic Metric for Phylogenetic Trees As an Interleaving Distance
E Munch, A Stefanou
Research in Data Science, 109-127, 2019
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