2 papers
math.AT2025
Intrinsic Bottleneck Distance for Merge Trees
David Beers, Gillian Grindstaff
Merge trees are a topological descriptor of a filtered space that enriches the degree zero barcode with its merge structure. The space of merge trees comes equipped with an interle…
math.AT2024
Fibers of point cloud persistence
David Beers, Heather A Harrington, Jacob Leygonie +2
Persistent homology (PH) studies the topology of data across multiple scales by building nested collections of topological spaces called filtrations, computing homology and returni…