Schedule
MINDS SEMINAR
MINDS Seminar Series | Moo K. Chung (University of Wisconsin–Madison) - A Geometric Approach to Network Analysis
MINDS SEMINAR
period : 2024-11-28 ~ 2024-11-28
time : 13:45:00 ~ 14:45:00
개최 장소 : Math Bldg 404 & Online streaming (Zoom)
Topic : A Geometric Approach to Network Analysis
개요
| Date | 2024-11-28 ~ 2024-11-28 | Time | 13:45:00 ~ 14:45:00 |
| Speaker | Moo K. Chung | Affiliation | University of Wisconsin–Madison |
| Place | Math Bldg 404 & Online streaming (Zoom) | Streaming link | ID : 688 896 1076 / PW : 54321 |
| Topic | A Geometric Approach to Network Analysis | ||
| Contents | Traditional network analyses often rely on graph-theoretic features, such as clustering coefficients and small-worldness, or spectral methods using the graph Laplacian. While effective, these approaches often provide only summary measures, limiting their ability to fully capture the complexity of networks. We introduce a geometric framework for analyzing networks by embedding them onto algebraic surfaces such as the Poincaré disk and the sphere. Edge flow information in networks is then encoded as geodesic distances, enabling a more refined geometric analysis using tools from differential geometry. We demonstrate the utility of this approach by quantifying the dynamic patterns of densely measured human brain networks, comprising approximately 12,000 brain regions. This ongoing research aims to elucidate the intricate patterns observed in brain network dynamics, which follow Turing patterns—a hallmark of reaction-diffusion processes. | ||
MinDS
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2024-11-26 11:37 ·
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