3 papers
cs.CG2026
Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances
Sarah Tymochko, Gillian Grindstaff, Abigail Hickok +2
We develop a framework to use multiparameter persistent homology (PH) to examine access to heterogeneous-quality resources and exposure to heterogeneous-severity nuisances in a geo…
stat.AP2024
Evaluating Cooling Center Coverage Using Persistent Homology of a Filtered Witness Complex
Erin O'Neil, Sarah Tymochko
In light of the increase in frequency of extreme heat events, there is a critical need to develop tools to identify geographic locations that are at risk of heat-related mortality.…
math.AT2024
Any Graph is a Mapper Graph
Enrique G Alvarado, Robin Belton, Kang-Ju Lee +4
The Mapper algorithm is a popular tool for visualization and data exploration in topological data analysis. We investigate an inverse problem for the Mapper algorithm: Given a data…