Class; Math Club Hill

Thursday, December 8, 2016
12:00 PM - 1:00 PM (ET)
Exley Science Center Tower ESC 141
Event Type
Class (Other)
Contact
Adeboye, Ilesanmi
3857
Link
https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=74003

Wesleyan’s Undergrad Math Club presents:

Professor Cameron Hill

Very Large Networks

 

In the last few decades, we have found that many of the most interesting structures and phenomena around can be described as networks. Examples of these include the Internet, the human brain, computer processors/chips, and many others. So, a network is a just system of discrete elements with connections/interactions between them.

 

When investigating a very large network (e.g. the human brain has something like a hundred billion neurons), it is infeasible to examine each node individually, and even ``looking’’ at the whole network at once is either impossible or basically meaningless. In this situation, we have to settle for examining either ``global processes’’ on the network (which sort of, kind of, allow calculus to make sense) or random local sampling. These options raise several questions like, ``When can we guarantee that random local sampling is not lying to us?’’ and ``Does random local sampling secretly have something to do with global processes?’’

 

In this talk, I will make some of this stuff a bit more formal and principled, and I will try to explain how we are beginning to address and settle these questions.

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