Publications and Preprints
For a more up-to-date list of my publications see my google scholar.
Due to working in an interdisciplinary setting, my work follows different conventions for authorship. Theoretical mathematics tends to be published alphabetically. Applied mathematics and other domain settings tend to be published in descending order of contribution with the PI listed last.
* denotes authors contributed equally
underline denotes undergraduate students mentored
Using Persistent Homology to Analyze Access to Resources with Heterogeneous Quality
Gillian Grindstaff, Abigail Hickok, Sarah Tymochko, Jiajie Luo, and Mason A. Porter
In Preparation, 2024.
Evaluating Cooling Center Coverage Using Persistent Homology of a Filtered Witness Complex
Erin O'Neil and Sarah Tymochko
Preprint, 2024.
Teaspoon: A Python Package for Topological Signal Processing
Firas A. Khasawneh*, Elizabeth Munch*, Danielle Barnes, Max Chumley, Ismail Guzel, Audun Myers, Sunia Tanweer, Sarah Tymochko, and Melih Yesilli.
In Submission, 2024.
A Deffuant–Weisbuch Model of Opinion Dynamics with Adaptive Confidence Bounds
Max Collins*, Zhuying Gong*, Arie Ogranovich*, Nicholas White*, Mason A. Porter, and Sarah Tymochko
In Preparation, 2024.
Max, Zhuying, Arie, and Nicolas' final report from the REU can be found here.
Any Graph is a Mapper Graph
Enrique G. Alvarado, Robin Belton, Kang-Ju Lee, Sourabh Palande, Sarah Percival, Emilie Purvine, and Sarah Tymochko.
In Submission, 2024.
A Topological Approach for Motion Track Discrimination
Tegan H. Emerson, Sarah Tymochko, George Stantchev, Jason A. Edelberg, Michael Wilson, and Colin C. Olson
Research in Computational Topology 2, 2022.
The Impact of Changes in Resolution on the Persistent Homology of Images
Teresa Heiss, Sarah Tymochko, Brittany Story, Adélie Garin, Hoa Bui, Bea Bleile, and Vanessa Robins
Proceedings of 2021 IEEE International Conference on Big Data, 2021.
Con Connections: Detecting Fraud from Abstracts using Topological Data Analysis
Sarah Tymochko, Julien Chaput, Timothy Doster, Emilie Purvine, Jackson Warley, and Tegan Emerson
Proceedings of 20th IEEE International Conference On Machine Learning And Applications (ICMLA), 2021.
Classifying Sleep States Using Persistent Homology and Markov Chain: a Pilot Study
Sarah Tymochko, Kritika Singhal, and Giseon Heo
Advances in Data Science, 2021.
Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
Sarah Tymochko, Elizabeth Munch, and Firas A. Khasawneh
Algorithms, 2020.
Using Persistent Homology to Quantify a Diurnal Cycle in Hurricane Felix
Sarah Tymochko, Elizabeth Munch, Jason Dunion, Kristen Corbosiero, and Ryan Torn
Pattern Recognition Letters, 2020.
Adaptive Partitioning for Template Functions on Persistence Diagrams
Sarah Tymochko, Elizabeth Munch, and Firas A. Khasawneh
Proceedings of 18th IEEE International Conference On Machine Learning And Applications (ICMLA), 2019.
Chatter Diagnosis in Milling using Supervised Learning and Topological Feature Vectors
Melih Yesilli, Sarah Tymochko, Elizabeth Munch, and Firas Khasawneh
Proceedings of 18th IEEE International Conference On Machine Learning And Applications (ICMLA), 2019.
Fairest Edge Usage and Minimum Expected Overlap for Random Spanning Trees
Nathan Albin, Jason Clemens, Derek Hoare, Pietro Poggi-Corradini, Brandon Sit, and Sarah Tymochko
Discrete Mathematics, 2021.
Other Written Work
Topological Approaches for Quantifying the Shape of Time Series Data
Sarah Tymochko
PhD Dissertation, 2022.
Media
Topological Analysis of Complex Networks
Sarah Tymochko and Audun Myers
SIAM DSWeb Media Gallery, 2022.
In grad school I was interviewed on the "Journeys of Scientists" podcasts hosted by Michigan State University WaMPS (Women and Minorities in the Physical Sciences) graduate student organization. You can find my episode here: