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Neural Computation

May 15, 1996, Vol. 8, No. 4, Pages 757-771
(doi: 10.1162/neco.1996.8.4.757)
© 1996 Massachusetts Institute of Technology
Controlling the Magnification Factor of Self-Organizing Feature Maps
Article PDF (772.78 KB)
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