7 papers
Topological summaries of fingerprint ridge patterns carry identity information
Chad M. Topaz, Niny Arcila-Maya, Elizabeth Munch +2
Fingerprints are the most widely deployed biometric. Verifying whether two impressions come from the same finger typically relies on minutiae, small landmarks such as skin ridge en…
A U-match Algorithm for Persistent Relative Homology
Christian Lentz, Gregory Henselman-Petrusek, Lori Ziegelmeier
A central problem in data-driven scientific inquiry is how to interpret structure in noisy, high-dimensional data. Topological data analysis (TDA) provides a solution via persisten…
A survey of simplicial, relative, and chain complex homology theories for hypergraphs
Ellen Gasparovic, Emilie Purvine, Radmila Sazdanovic +3
Hypergraphs have seen widespread application in network and data science communities in recent years. We present a survey of recent work to construct auxiliary structures from hype…
Higher-Order Network Structure Inference: A Topological Approach to Network Selection
Adam Schroeder, Russell Funk, Jingyi Guan +2
Thresholding--the pruning of nodes or edges based on their properties or weights--is an essential preprocessing tool for extracting interpretable structure from complex network dat…
Understanding U.S. Racial Segregation Through Persistent Homology
Ori Friesen, Lori Ziegelmeier
Racial segregation is a widespread social and physical phenomenon present in every city across the United States. Although prevalent nationwide, each city has a unique history of r…
Image Triangulation Using the Sobel Operator for Vertex Selection
Olivia Laske, Lori Ziegelmeier
Image triangulation, the practice of decomposing images into triangles, deliberately employs simplification to create an abstracted representation. While triangulating an image is…