3 papers
math.AT2026
Bounding the interleaving distance on concrete categories using a loss function
Astrid A. Olave, Elizabeth Munch
The interleaving distance is arguably the most widely used metric in topological data analysis (TDA) due to its applicability to a wide array of inputs of interest, such as (multip…
cs.CG2025
Towards an Optimal Bound for the Interleaving Distance on Mapper Graphs
Erin Wolf Chambers, Ishika Ghosh, Elizabeth Munch +2
Mapper graphs are widely used tools in topological data analysis and visualization. They can be understood as discrete approximations of Reeb graphs, providing insight into the sha…
cs.DS2024
A Distance for Geometric Graphs via the Labeled Merge Tree Interleaving Distance
Erin Wolf Chambers, Elizabeth Munch, Sarah Percival +1
Geometric graphs appear in many real-world data sets, such as road networks, sensor networks, and molecules. We investigate the notion of distance between embedded graphs and prese…