2 citations · 5 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
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…
The fiber of persistent homology for trees
David Beers, Jacob Leygonie
Consider the space of continuous functions on a geometric tree whose persistent homology gives rise to a finite generic barcode . We show that there are exactly as many path…
Fiber of Persistent Homology on Morse functions
Jacob Leygonie, David Beers
Let be a Morse function on a smooth compact manifold with boundary. The path component containing of the space of Morse functions giving rise to…