146 citations · 344 across the 20 of their papers we have counts for
4 papers · 1 filter
Hypothesis Testing for Topological Data Analysis
Andrew Robinson, Katharine Turner
Persistent homology is a vital tool for topological data analysis. Previous work has developed some statistical estimators for characteristics of collections of persistence diagram…
Persistent Homology Transform for Modeling Shapes and Surfaces
Katharine Turner, Sayan Mukherjee, Doug M Boyer
In this paper we introduce a statistic, the persistent homology transform (PHT), to model surfaces in and shapes in . This statistic is a collection of…
Medians of populations of persistence diagrams
Katharine Turner
Persistence diagrams are common objects in the field of Topological Data Analysis. They are topological summaries that capture both topological and geometric structure within data.…
Probabilistic Fréchet Means for Time Varying Persistence Diagrams
Elizabeth Munch, Katharine Turner, Paul Bendich +3
In order to use persistence diagrams as a true statistical tool, it would be very useful to have a good notion of mean and variance for a set of diagrams. In 2011, Mileyko and his…