Watch a 50-minute lecture exploring topological approaches to analyzing high-order interaction complex systems, delivered by award-winning mathematician Jie Wu at BIMSA. Delve into the development of GLMY homology and its variants as tools for understanding complex network structures beyond traditional simplicial complex modeling. Learn how these topological theories have been successfully applied to complex diseases, microbiology, molecular science, and materials science. Discover the interdisciplinary collaboration between topology and statistics that has led to new mathematical modelings like IdopNetwork and HyperNetwork. Gain insights from Wu, a distinguished researcher with over 90 publications in top mathematics journals and recipient of the Singapore National Science Award, as he explains how these mathematical approaches can influence the future development of artificial intelligence.
Topology of Complex Systems - Mathematical Modeling and GLMY Theory
Overview
Syllabus
Jie Wu: Topology of Complex Systems
Taught by
BIMSA
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