A link-analysis-based discriminant analysis for exploring partially labeled graphs

  • Authors:
  • Kevin FrançOisse;FrançOis Fouss;Marco Saerens

  • Affiliations:
  • ICTEAM & LSM, Universitéé Catholique de Louvain (UCL), Belgium;ICTEAM & LSM, Universitéé Catholique de Louvain (UCL), Belgium;ICTEAM & LSM, Universitéé Catholique de Louvain (UCL), Belgium

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2013

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Abstract

This letter investigates a link-analysis variant of discriminant analysis for projecting nodes of a (partially) labeled graph in a low-dimensional subspace and extracting discriminant node features. Basically, it corresponds to a kernel discriminant analysis computed from a kernel on a graph together with a class betweenness measure. As for standard discriminant analysis, the projected nodes are maximally separated with respect to the ratio of between-class inertia on total inertia - the distances being computed according to the kernel. The visualization of various graphs shows that the resulting display conveys useful information. Moreover, semi-supervised classification experiments indicate that the discriminant analysis indeed extracts relevant node features that are able to classify unlabeled nodes with competing performance.