On the stationary state of Kohonen's self-organizing sensory mapping
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TL;DR
The stationary state of the self-organizing sensory mapping of Kohonen is investigated and the equation for the stationary state is derived for the case of one-dimensional and two-dimensional mappings.
Abstract
The stationary state of the self-organizing sensory mapping of Kohonen is investigated. For this purpose the equation for the stationary state is derived for the case of one-dimensional and two-dimensional mappings. The equation can be solved for special cases, including the general one-dimensional case, to yield an explicit expression for the local magnification factor of the map.
