506 citations · 1.6k across the 45 of their papers we have counts for
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math.AT2012★ 506 cited
Statistical topological data analysis using persistence landscapes
Peter Bubenik
We define a new topological summary for data that we call the persistence landscape. Since this summary lies in a vector space, it is easy to combine with tools from statistics and…
math.AT2012★ 97 cited
Categorification of persistent homology
Peter Bubenik, Jonathan A. Scott
We redevelop persistent homology (topological persistence) from a categorical point of view. The main objects of study are diagrams, indexed by the poset of real numbers, in some t…