[Theory] FW: Theory Lunch 2023-03-08T18:30:00.000Z

[Christopher Kang]

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Sent: Wednesday, March 8, 2023 12:56:15 AM (UTC-06:00) Central Time (US & Canada)
To: Antares Chen <antaresc at uchicago.edu>
Cc: Christopher Kang <ctkang at uchicago.edu>
Subject: Theory Lunch 2023-03-08T18:30:00.000Z


Today's Theory Lunch talk:

Adela DePavia (University of Chicago): Diffusions and “Spectral” Theory on Hypergraphs

https://uchicago.zoom.us/j/91616319229?pwd=dDdXQnFXeGNubFRkZy9hTDQrcWlXdz09<https://urldefense.com/v3/__https://uchicago.zoom.us/j/91616319229?pwd=dDdXQnFXeGNubFRkZy9hTDQrcWlXdz09__;!!BpyFHLRN4TMTrA!_ajHxEmmK4hGN9bdOt9SlbsMasTEyqah3JgRancb5SH-FuuCSPbtH0g-RDVMHmVO4KgAeDGSkhvo6_LlZpFM3fGu2oo_CYLTqms$>

Description: The development of simple and fast hypergraph spectral methods has been hindered by the lack of numerical algorithms for simulating heat diffusions and computing fundamental objects, such as Personalized PageRank vectors, over hypergraphs. In this talk, we take a look at how to define diffusions on hyper graphs, the operators these diffusions induce, and the resultant “spectral” theory on hyper graphs. We’ll talk about how understanding these diffusions yields efficient algorithms for computing the above quantities, as well as for a broader class of optimization problems.

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