Investigation of dynamics and networks using topological data analysis

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Event details

Date 28.10.2016
Hour 15:0016:00
Speaker Heather Harrington (Oxford)    
Location
Campus Biotech, Building B1, 6th floor
Category Conferences - Seminars
Persistent homology (PH) is a technique in topological data analysis that allows one to examine features in data across multiple scales in a robust and mathematically principled manner, and it is being applied to an increasingly diverse set of applications. We investigate applications of PH to dynamics and networks, focusing on two settings: dynamics on a network and dynamics of a network. We analyze a contagion spreading on a network using persistent homology. Next we investigate a network that changes in time and show that persistent homology may be useful for distinguishing temporal distributions and a high level summary of temporal structure. We discuss how to extend each application to the multiple parameter setting. Together, these two investigations illustrate that persistent homology can be very illuminating in the study of networks and their applications.    

Practical information

  • Informed public
  • Free

Organizer

  • Kathryn Hess    

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