DisCoMath Seminar: Analyzing Networks and Hypernetworks with Topology

DisCoMath Seminar
Analyzing Networks and Hypernetworks with Topology

Jason LaRuez

Mathematical Modeling Ph.D. Student
Rochester Institute of Technology

Register for Zoom Here

Abstract:
In recent years, topological data analysis has been used with great success to analyze the structure of complex high-dimensional data, merging methods from data science and computational topology. We will discuss the approaches typically used to convert networks (graphs) and hypernetworks (hypergraphs) into simplicial complexes, which allow us to extract topological properties and quantities. This will be followed by a discussion of applications of these methods, including those in neuroscience and cybersecurity. Finally, we will introduce a generative hypergraph model that attempts to generalize the classical Barabási-Albert network model, concluding with preliminary topological results.

Intended Audience:
All are Welcome!

To request an interpreter, please visit myaccess.rit.edu


Contact
Brendan Rooney
Event Snapshot
When and Where
April 07, 2025
3:00 pm - 3:50 pm
Room/Location: 3140
Who

This is an RIT Only Event

Interpreter Requested?

No

Topics
research