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08/04/2023
An Intrinsic Approach to Scalar-Curvature Estimation for Point Clouds
We introduce an intrinsic estimator for the scalar curvature of a data s...
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10/12/2022
Computing Persistence Diagram Bundles
Persistence diagram (PD) bundles, a generalization of vineyards, were re...
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10/11/2022
Persistence Diagram Bundles: A Multidimensional Generalization of Vineyards
A persistence diagram (PD) summarizes the persistent homology of a filtr...
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06/10/2022
Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites
It is important to choose the geographical distribution of public resour...
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12/06/2021
A Family of Density-Scaled Filtered Complexes
We develop novel methods for using persistent homology to infer the homo...
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07/19/2021
Analysis of Spatiotemporal Anomalies Using Persistent Homology: Case Studies with COVID-19 Data
We develop a method for analyzing spatiotemporal anomalies in geospatial...
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04/01/2021
Topological Data Analysis of Spatial Systems
In this chapter, we discuss applications of topological data analysis (T...
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04/13/2020