Optimal Magnification Factors in Self-Organizing Feature Maps

M. Herrmann, H. -u. Bauer, R. Der

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Introduction Kohonen's self-organizing feature maps (SOFMs) [8] usually exhibit a selective magnification of often stimulated regions of their input space. This amounts to a larger transmission of information about the stimulus ensemble than in maps with a constant resolution. Such a selective magnification is not only observed in biological maps, but is also often regarded as a desirable design objective in technical contexts. For at least three reasons, the magnification properties of SOFMs deserve further investigation: 1. An analysis by Ritter and Schulten [10] demonstrated that the SOFM algorithm does not yield a maximum entropy map (i.e. does not transmit the maximum amount of information). 2. As a related argument we observe that it depends on the error criterion one applies which magnification properties are to be regarded as optimal. For example, a minimal worst case error is achieved by maps with all receptive fields (or Voronoy polygons) being of equal extension, i.
Original languageEnglish
Title of host publicationProc. ICANN'95
Number of pages6
Publication statusPublished - 1995


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