Tight clusters and smooth manifolds with the harmonic topographic map

  • Authors:
  • Marian Peña;Colin Fyfe

  • Affiliations:
  • Applied Computational Intelligence Research Unit, The University of Paisley, Paisley, Scotland;Applied Computational Intelligence Research Unit, The University of Paisley, Paisley, Scotland

  • Venue:
  • SMO'05 Proceedings of the 5th WSEAS international conference on Simulation, modelling and optimization
  • Year:
  • 2005

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Abstract

We review a new form of self-organizing map introduced in [5] which is based on a non-linear projection of latent points into data space, identical to that performed in the Generative Topographic Mapping (GTM) [1]. We discuss a refinement of that mapping (M-HaToM) and show on real and artificial data how it both finds the true manifold on which a data set lies and also clusters data more tightly than the previous algorithm (D-HaToM).