Ran Levi- Topological Analysis of Neural Networks

Explore the intersection of topology and neural networks in this lecture from the Hausdorff Trimester Program on Applied and Computational Algebraic Topology. Delve into the fundamentals of topology and its application to neuroscience, starting with simple organisms like C. elegans and progressing to complex brain models. Discover surprising findings, including prize-winning research, and examine topological reconstructions, activity experiments, and time series analyses. Learn about characterization theorems for line graphs and diffusion processes, gaining insights into how topological analysis can enhance our understanding of neural networks and brain function.