The persistent homology of genealogical networks

1 code implementation • 27 Jan 2023 • Zachary M. Boyd, Nick Callor, Taylor Gledhill, Abigail Jenkins, Robert Snellman, Benjamin Z. Webb, Raelynn Wonnacott

To study the effect this has on genealogical networks we use persistent homology to identify and compare the structure of 101 genealogical and 31 other social networks.

A metric on directed graphs and Markov chains based on hitting probabilities

1 code implementation • 25 Jun 2020 • Zachary M. Boyd, Nicolas Fraiman, Jeremy L. Marzuola, Peter J. Mucha, Braxton Osting, Jonathan Weare

The shortest-path, commute time, and diffusion distances on undirected graphs have been widely employed in applications such as dimensionality reduction, link prediction, and trip planning.

Dimensionality Reduction Link Prediction

Stochastic Block Models are a Discrete Surface Tension

1 code implementation • 7 Jun 2018 • Zachary M. Boyd, Mason A. Porter, Andrea L. Bertozzi

Networks, which represent agents and interactions between them, arise in myriad applications throughout the sciences, engineering, and even the humanities.

Clustering Video Semantic Segmentation