Corpus ID: 236134219

Analysis of Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 Data

  title={Analysis of Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 Data},
  author={Abigail Hickok and Deanna Needell and Mason A. Porter},
We develop a method for analyzing spatiotemporal anomalies in geospatial data using topological data analysis (TDA). To do this, we use persistent homology (PH), a tool from TDA that allows one to algorithmically detect geometric voids in a data set and quantify the persistence of these voids. We construct an efficient filtered simplicial complex (FSC) such that the voids in our FSC are in one-to-one correspondence with the anomalies. Our approach goes beyond simply identifying anomalies; it… Expand


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