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Counting critical points of Gaussian random functions in high dimensions

Antonio Auffinger, Northwestern University
Monday, March 1, 2021 - 2:30pm to 3:30pm
Online via Zoom. Contact Zhen-Qing Chen for details.
Several examples of random functions defined on N dimensional domains are expected to have exponentially many critical values in N as the dimension diverges. These critical values play an important role in the description of certain complex phenomena in statistical physics and algorithm performance in neural nets. In this talk, I will survey two examples where such predictions can be made rigorous, describe its connections to spin glasses and random matrix theory and share a few open questions. 
Based on joint works with Qiang Zeng (University of Macau). 
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