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SUMMARY:Barycentric subspace analysis for sets of unlabeled graphs - Anna 
 Calissano (Imperial College)
DTSTART:20240301T140000Z
DTEND:20240301T150000Z
UID:TALK209560@talks.cam.ac.uk
CONTACT:Dr Sergio Bacallado
DESCRIPTION:Barycentric subspace analysis (BSA) is introduced for a set of
  unlabeled graphs\, which are graphs with no correspondence between nodes.
  Identifying each graph by the set of its eigenvalues\, the graph spectrum
  space is defined as a novel and computationally efficient quotient manifo
 ld of isospectral graphs. In such a manifold\, the notion of BSA is extend
 ed. It showcases how BSA can be used as a powerful dimensionality reductio
 n technique for complex data. BSA searches for a subspace of a lower dimen
 sion\, minimizing the projection of data points on such subspace. As the s
 ubspace is identified by a set of reference points\, the interpretation is
  easier than with other dimensionality reduction techniques. BSA is perfor
 med and compared with clustering and PCA on a simulated dataset and a real
 -world dataset of airline company networks.
LOCATION:MR12\, Centre for Mathematical Sciences
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