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Induced Voronoï Kernels for Principal Manifolds Approximation

  • Michaël Aupetit
  • Pierre Couturier
  • Pierre Massotte
Conference paper

Abstract

We present a new interpolation technique allowing to build an approximation of a priori unknown principal manifolds of a data set which may be non-linear, non-connected and of various intrinsic dimension. This technique is based onto the Induced Delaunay Triangulation of the data built by a Topology Representing Network. It opens the way to a new field of research and applications in data analysis, data modeling and forecasting.

Keywords

Intrinsic Dimension Vector Quantization Delaunay Triangulation Interpolation Technique Discrete Equivalent 
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 London Limited 2001

Authors and Affiliations

  • Michaël Aupetit
    • 1
  • Pierre Couturier
    • 1
  • Pierre Massotte
    • 1
  1. 1.Parc Scientifique Georges BesseLGI2P - EMA - Site EERIENîmesFrance

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