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Using Directional Curvatures to Visualize Folding Patterns of the GTM Projection Manifolds

  • Peter Tino
  • Ian Nabney
  • Yi Sun
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2130)

Abstract

In data visualization, characterizing local geometric properties of non-linear projection manifolds provides the user with valuable additional information that can influence further steps in the data analysis. We take advantage of the smooth character of GTM projection manifold and analytically calculate its local directional curvatures. Curvature plots are useful for detecting regions where geometry is distorted, for changing the amount of regularization in non-linear projection manifolds, and for choosing regions of interest when constructing detailed lower-level visualization plots.

Keywords

Latent Space Data Space Rubber Sheet Curvature Plot Directional Curvature 
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 2001

Authors and Affiliations

  • Peter Tino
    • 1
  • Ian Nabney
    • 1
  • Yi Sun
    • 1
  1. 1.Neural Computing Research GroupAston UniversityBirminghamUK

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