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SUMMARY:Topological data analysis of contagion maps for examining spreadin
 g processes on networks - Mason Porter (University of Oxford)
DTSTART:20160610T140000Z
DTEND:20160610T150000Z
UID:TALK65583@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:Social and biological contagions are influenced by the spatial
  embeddedness of networks. Historically\, many epidemics spread as a wave 
 across part of the Earthʼs surface. However\, in modern contagions\, long
 -range edges -- for example\, due to airline transportation or communicati
 on media -- allow clusters of a contagion to appear in distant locations. 
 We study the spread of contagions on networks through a methodology ground
 ed in topological data analysis and nonlinear dimension reduction. We cons
 truct "contagion maps" that use multiple contagions on a network to map th
 e nodes as a point cloud. By analyzing the topology\, geometry\, and dimen
 sionality of manifold structure in such point clouds\, we reveal insights 
 to aid in the modeling\, forecast\, and control of spreading processes. Ou
 r approach also highlights contagion maps as a viable tool for inferring l
 ow-dimensional structure in networks.
LOCATION:MR 14\, CMS
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