4 papers
Bootstrap-based Hypothesis Test of 2D Contours using Elastic Shape Analysis
Susan Glenn, Justin Strait, Kelly Moran +2
Shapes of objects in images are often complex, high-dimensional, and vary in ways not captured by standard Euclidean geometry and statistics. Statistical shape analysis encompasses…
Confidence regions for a persistence diagram of a single image with one or more loops
Susan Glenn, Jessi Cisewski-Kehe, Jun Zhu +1
Topological data analysis (TDA) uses persistent homology to quantify loops and higher-dimensional holes in data, making it particularly relevant for examining the characteristics o…
Tracking Temporal Evolution of Topological Features in Image Data
Susan Glenn, Jessi Cisewski-Kehe, Jun Zhu +1
Topological Data Analysis (TDA) can be used to detect and characterize holes in an image, such as zero-dimensional holes (connected components) or one-dimensional holes (loops). Ho…
Empirical Power Analysis of a Statistical Test to Quantify Gerrymandering
Ranthony A. Clark, Susan Glenn, Harlin Lee +1
Gerrymandering is a pervasive problem within the US political system. In the past decade, methods based on Markov Chain Monte Carlo (MCMC) sampling and statistical outlier tests ha…