[Solomonov Seminar] 272. Solomonov seminar

[Marko Grobelnik]

V četrtek 3. februarja 2016 bo ob 15:00 v Oranzni predavalnici IJS 272. 
Solomonov seminar. Oranzna predavalnica je v drugem nadstropju glavne 
stavbe IJS. Posnetki preteklih seminarjev so na 
http://videolectures.net/solomon/

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Primož Škraba, IJS:

Naslov: How much structure do we see in noise (a topological perspective)?

Povzetek:
Exploratory data analysis is the search for patterns in sampled data. In 
this talk, I will concentrate on geometric data, where structure often 
takes the form of certain shapes representing constraints in the system 
generating the data. For example, a sphere for normalized data or a 
closed curve representing a periodic system. Recent topological 
techniques can help us find this type of structure.

A natural question then is: what is a reasonable null hypothesis for 
this type of structure? In this talk, I will describe recent results 
characterizing how much structure we expect to find if we sample noise, 
which we take here to be a Poisson point process, also known as a 
completely spatially random model. No previous knowledge of point 
processes or topology will be assumed. I will overview classical results 
from random geometric graphs and present our results for higher 
dimensional analogues.