CSCS Seminar | Twists, triangles, and tentacles: A guided tour of high-dimensional basins in networked dynamical systems
Yuanzhao Zhang, Postdoctoral Fellow, Santa Fe Institute
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.
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.
| Building: | Weiser Hall |
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| Website: | |
| Event Type: | Workshop / Seminar |
| Tags: | Biosciences, Natural Sciences, Research |
| Source: | Happening @ Michigan from The Center for the Study of Complex Systems, The College of Literature, Science, and the Arts, Department of Physics, Department of Mathematics |
