Yuanzhao Zhang, Postdoctoral Fellow, Santa Fe Institute

Thursday, February 1, 2024

11:30 AM-1:00 PM

747 Weiser Hall  Map

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Coffee and snacks will be provided. This talk will be recorded for later viewing.

Abstract: In this talk, I will explore the interesting geometries that emerge in high-dimensional attraction basins, which are important in applications such as protein folding, cell differentiation, and neural networks. Using simple networks of coupled oscillators, I will show that high-dimensional basins are generally highly nonconvex and nonlocal, with most of the basin volume concentrated in tentacle-like structures. Next, I will show that introducing non-pairwise interactions in the network can make basins deeper but smaller—the attractors become linearly more stable but much harder to find due to basins shrinking dramatically. I will end with a few applications to neuroscience.

CSCS Seminar | Twists, triangles, and tentacles: A guided tour of high-dimensional basins in networked dynamical systems: Yuanzhao Zhang, Postdoctoral Fellow, Santa Fe Institute | U-M LSA Center for the Study of Complex Systems

https://lsa.umich.edu/cscs/news-events/all-events.detail.html/117443-21839304.html