On Hölder fields clustering

  title={On H{\"o}lder fields clustering},
  author={Ben{\^o}ıt Cadre},
We study the k-means clustering scheme based on the observations of a phenomenon modelled by a sequence of random fields X1, · · · ,Xn taking values in a Hilbert space. In the k-means algorithm, clustering is performed by computing a Voronoi partition associated with centers that minimize an empirical criterion, called distorsion. The performance of the method is evaluated by comparing a theoretical distorsion of empirically optimal centers to the theoretical optimal distorsion. Our first… CONTINUE READING