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math.AT2024
The connectivity of Vietoris-Rips complexes of spheres
Henry Adams, Johnathan Bush, Žiga Virk
We survey what is known and unknown about Vietoris-Rips complexes and thickenings of spheres. Afterwards, we show how to control the homotopy connectivity of Vietoris-Rips complexe…
math.AT2023
Topological feature selection for time series data
Peter Bubenik, Johnathan Bush
We use tools from applied topology for feature selection on time series data. We develop a method for scoring the variables in a multivariate time series that reflects their contri…