Department of Mathematics

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Math Grad Seminars - Ülgen Kılıç -A Quick Walk on Topological Data Analysis and Network Ne
Thursday, 19. December 2019, 13:00 - 14:00

A Quick Walk on Topological Data Analysis and Network Neuroscience: Interpretation, Toolbox and Applications

Ülgen Kılıç


Abstract: Technological developments led to an enormous increase over the past couple of decades in the ad hoc data collected from the natural phenomena. On the other hand, scientific community is way beyond to process this data into meaningful information efficiently. One solution is offered by the usage of clusters of computers by utilizing high computing powers in data processing relatively quicker durations statistical inference, namely machine learning, is the most popular tool to overcome the big data problem nowadays. In the first part of this talk, I am going to introduce another approach based on the shape of the data employing topological ideas targeting the data analysis problem and mainly be focusing on persistent homology. In the second part, I will talk about how graph theory and linear algebra can be used to understand the topology of the real world networks and show how these mathematical frameworks are adjusted to model and analyze the nervous systems of living organisms and mammalian brains, known as network neuroscience. If time permits, I might also talk about multilayer analysis of the human connectome. This is going to be a no theory but application kind of talk, so it is open to any level of audience. 


Date: Thursday, December 19, 2019

Time: 13:00 

Place: TB130