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SUMMARY:Investigation of dynamics and networks using topological data anal
 ysis
DTSTART:20161028T150000
DTEND:20161028T160000
DTSTAMP:20260506T061806Z
UID:7e29b61a579f048997c472a0f503c9836c55cf0c765ab3f066c0fc1c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Heather Harrington (Oxford)  \n\n \nPersistent homology (PH)
  is a technique in topological data analysis that allows one to examine fe
 atures in data across multiple scales in a robust and mathematically princ
 ipled manner\, and it is being applied to an increasingly diverse set of a
 pplications. We investigate applications of PH to dynamics and networks\, 
 focusing on two settings: dynamics on a network and dynamics of a networ
 k. We analyze a contagion spreading on a network using persistent homology
 . Next we investigate a network that changes in time and show that persist
 ent homology may be useful for distinguishing temporal distributions and a
  high level summary of temporal structure. We discuss how to extend each a
 pplication to the multiple parameter setting. Together\, these two investi
 gations illustrate that persistent homology can be very illuminating in th
 e study of networks and their applications.  \n\n 
LOCATION:Campus Biotech\, Building B1\, 6th floor
STATUS:CANCELLED
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