On the stationary state of Kohonen's self-organizing sensory mapping

• DOI: 10.1007/bf00320480
• Publication Date: 2004-11-06T06:36:57Z
• Authors: H. Ritter; K. Schulten
• Keywords: Self-organizing map; Complex system

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.