4 papers
Using Persistent Homology to Analyze Access to Heterogeneous-Quality Resources and Heterogeneous-Severity Nuisances
Sarah Tymochko, Gillian Grindstaff, Abigail Hickok +2
We develop a framework to use multiparameter persistent homology (PH) to examine access to heterogeneous-quality resources and exposure to heterogeneous-severity nuisances in a geo…
A Bounded-Confidence Model of Opinion Dynamics with Adaptive Interaction Probabilities
Leila Thompsky, Yuexuan Yolanda Wu, Mason A. Porter +1
Models of opinion dynamics aim to capture how individuals' opinions change when they interact with each other. One well-known model of opinion dynamics is the Deffuant--Weisbuch (D…
Bounded-Confidence Models of Multidimensional Opinions with Topic-Weighted Discordance
Grace Jingying Li, Jiajie Luo, Weiqi Chu
People's opinions on a wide range of topics often evolve over time through their interactions with others. Models of opinion dynamics primarily focus on one-dimensional opinions, w…
Persistent Homology for Resource Coverage: A Case Study of Access to Polling Sites
Abigail Hickok, Benjamin Jarman, Michael Johnson +2
It is important to choose the geographical distributions of public resources in a fair and equitable manner. However, it is complicated to quantify the equity of such a distributio…