Building nonlinear data models with self-organizing maps

  • Ralf Der
  • Gerd Balzuweit
  • Michael Herrmann
Poster Presentations 3 Theory V: Self-Organizing Maps
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1112)

Abstract

We study the extraction of nonlinear data models in high dimensional spaces with modified self-organizing maps. Our algorithm maps lower dimensional lattice into a high dimensional space without topology violations by tuning the neighborhood widths locally. The approach is based on a new principle exploiting the specific dynamical properties of the first order phase transition induced by the noise of the data. The performance of the algorithm is demonstrated for one- and two-dimensional principal manifolds and for sparse data sets.

Keywords

High Dimensional Space Neighborhood Parameter Neighborhood Width Principal Curf Principal Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Ralf Der
    • 1
  • Gerd Balzuweit
    • 1
  • Michael Herrmann
    • 2
  1. 1.Institute of InformaticsUniversity of LeipzigLeipzigGermany
  2. 2.Lab. of Information RepresentationRIKENSaitamaJapan

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