Automatically finding clusters in normalized cuts

  • Authors:
  • Mariano Tepper;Pablo Musé;Andrés Almansa;Marta Mejail

  • Affiliations:
  • Departmento de Computación, FCEN, Universidad de Buenos Aires, Argentina;Instituto de Ingeniería Eléctrica, FI, Universidad de la República, Uruguay;CNRS LTCI, Telecom ParisTech, France;Departmento de Computación, FCEN, Universidad de Buenos Aires, Argentina

  • Venue:
  • Pattern Recognition
  • Year:
  • 2011

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Abstract

Normalized Cuts is a state-of-the-art spectral method for clustering. By applying spectral techniques, the data becomes easier to cluster and then k-means is classically used. Unfortunately the number of clusters must be manually set and it is very sensitive to initialization. Moreover, k-means tends to split large clusters, to merge small clusters, and to favor convex-shaped clusters. In this work we present a new clustering method which is parameterless, independent from the original data dimensionality and from the shape of the clusters. It only takes into account inter-point distances and it has no random steps. The combination of the proposed method with normalized cuts proved successful in our experiments.