Controlling the magnification factor of self-organizing feature maps

  • Authors:
  • H. -U. Bauer;R. Der

  • Affiliations:
  • Institut für Theoretische Physik and SFB Nichtlineare Dynamik, Universität Frankfurt, Robert-Mayer-Str. 8-10, 60054 Frankfurt/Main 11, Germany;Institut für Informatik, Universität Leipzig, Augustusplatz 10/11, 04009 Leipzig, Germany

  • Venue:
  • Neural Computation
  • Year:
  • 1996

Quantified Score

Hi-index 0.00

Visualization

Abstract

The magnification exponents μ occurring in adaptive map formation algorithms like Kohonen's self-organizing feature map deviate for the information theoretically optimal value μ = 1 as well as from the values that optimize, e.g., the mean square distortion error (μ = 1/3 for one-dimensional maps). At the same time, models for categorical perception such as the "perceptual magnet" effect, which are based on topographic maps, require negative magnification exponents μ