36 citations · 49 across the 6 of their papers we have counts for
7 papers
Repulsive Bounded-Confidence Model of Opinion Dynamics in Polarized Communities
Claudia Kann, Michelle Feng
Collective opinions affect civic participation, governance, and societal norms. Due to the influence of opinion dynamics, many models of their formation and evolution have been dev…
An Adaptive Bounded-Confidence Model of Opinion Dynamics on Networks
Unchitta Kan, Michelle Feng, Mason A. Porter
Individuals who interact with each other in social networks often exchange ideas and influence each other's opinions. A popular approach to study the spread of opinions on networks…
Topological Data Analysis of Spatial Systems
Michelle Feng, Abigail Hickok, Mason A. Porter
In this chapter, we discuss applications of topological data analysis (TDA) to spatial systems. We briefly review the recently proposed level-set construction of filtered simplicia…
A Bounded-Confidence Model of Opinion Dynamics on Hypergraphs
Abigail Hickok, Yacoub Kureh, Heather Z. Brooks +2
People's opinions evolve over time as they interact with their friends, family, colleagues, and others. In the study of opinion dynamics on networks, one often encodes interactions…
Connecting the Dots: Discovering the "Shape" of Data
Michelle Feng, Abigail Hickok, Yacoub H. Kureh +2
Scientists use a mathematical subject called 'topology' to study the shapes of objects. An important part of topology is counting the numbers of pieces and holes in objects, and pe…
Spatial Applications of Topological Data Analysis: Cities, Snowflakes, Random Structures, and Spiders Spinning Under the Influence
Michelle Feng, Mason A. Porter
Spatial networks are ubiquitous in social, geographical, physical, and biological applications. To understand the large-scale structure of networks, it is important to develop meth…
Persistent Homology of Geospatial Data: A Case Study with Voting
Michelle Feng, Mason A. Porter
A crucial step in the analysis of persistent homology is the transformation of data into an appropriate topological object (in our case, a simplicial complex). Modern packages for…