146 citations · 344 across the 20 of their papers we have counts for
3 papers · 1 filter
Stratified Space Learning: Reconstructing Embedded Graphs
Yossi Bokor, Daniel Grixti-Cheng, Markus Hegland +2
Many data-rich industries are interested in the efficient discovery and modelling of structures underlying large data sets, as it allows for the fast triage and dimension reduction…
Intrinsic Interleaving Distance for Merge Trees
Ellen Gasparovic, Elizabeth Munch, Steve Oudot +3
Merge trees are a type of graph-based topological summary that tracks the evolution of connected components in the sublevel sets of scalar functions. They enjoy widespread applicat…
Same But Different: Distance Correlations Between Topological Summaries
Katharine Turner, Gard Spreemann
Persistent homology allows us to create topological summaries of complex data. In order to analyse these statistically, we need to choose a topological summary and a relevant metri…