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SUMMARY:Statistical Analysis of Sets of Graphs: From Unlabelled Graphs to 
 Spatial Graphs - Anna Calissano (Imperial College London)
DTSTART:20250507T104500Z
DTEND:20250507T114500Z
UID:TALK230461@talks.cam.ac.uk
DESCRIPTION:Sets of graphs (or networks) arise in many different fields\, 
 from medicine to finance\, from sport to the social sciences. The analysis
  of such sets of graphs is far from trivial due to the highly non-Euclidea
 n and discrete nature of graph data. In this talk\, we focus on two specif
 ic types of graphs: unlabelled graphs - i.e. graphs with different sets of
  nodes that needs to be matched &ndash\; and spatial graphs &ndash\; i.e. 
 graphs with spatial coordinates on the nodes. We give an overview of how t
 o embed such data in a natural and geometrically manageable space and how 
 to define data analysis methods in such geometrical context. For the unlab
 elled graph case\, we embed graphs in a discrete quotient space and define
  statistical methods like PCA using tools from length metric spaces. For t
 he spatial graph case\, we embed graphs in a space equipped with a Gromov-
 Wasserstein metric and we study the graphs distribution using tools from m
 etric statistics.
LOCATION:Seminar Room 1\, Newton Institute
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