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UID:20260625T071246EDT-0094ZEZshs@132.216.98.100
DTSTAMP:20260625T111246Z
DESCRIPTION: Title: Bootstrapping Networks with Latent Geometric Structure
 \nAbstract: A core problem in statistical network analysis is to develop n
 etwork analogues of classical statistical techniques. The problem of boots
 trapping network data stands out as especially challenging\, owing to the 
 dependency structure of network data and the fact that one typically obser
 ves only a single network\,rather than a sample. We propose two methods fo
 r obtaining bootstrap samples for networks drawn from latent space models\
 , a class of network models in which unobserved geometric structure drives
  network topology. The first of these two bootstrap methods leverages the 
 structure of these models to generate bootstrap samples of whole networks.
  The second method generates bootstrap samples of network statistics that 
 are expressible as U-statistics in the latent geometry\,a class of functio
 ns that includes subgraph densities and a number of other useful network s
 ummaries. We prove the consistency of both of the proposed bootstrap metho
 ds under the random dot product graph\, a latent space model that includes
  the popular stochastic block model as a special case\, though our methods
  are applicable to any latent space model in which the latent geometry can
  be recovered suitably accurately.\nBrief Bio: Keith Levin is a Postdoctor
 al Fellow in the Department of Statistics at the University of Michigan. H
 e completed his Ph.D. in Computer Science at Johns Hopkins University in 2
 017. Prior to that he worked briefly as a data analyst in BBN Technologies
  while completing his undergraduate education at Northwestern University. 
 His research focuses on statistical and computational methods for analyzin
 g network data with a focus on applications to neuroscience.\n 
DTSTART:20200120T203000Z
DTEND:20200120T213000Z
LOCATION:Roomo  1205\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 r
 ue Sherbrooke Ouest
SUMMARY: Keith Levin (University of Michigan) 
URL:/mathstat/channels/event/keith-levin-university-mi
 chigan-304318
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