Simulation of Kohonens Algorithm

Introduction

A Kohonen map is a chain or a network of neurons (neuronal network) which arranges itself in a self-organizing way, according to "stipulations" (Stimulationen?).
During the simulation certain ranges (L-Shape, circle, triangle, rectangle) are stimulated evenly, so that the new within this range spreads.

Linear map (One-dimensional Map)

A 1-dimensional Kohonen map (chain) adapts itself. Once a L-Shape, then a circle, finally a triangle.

Two-dimensional map

Ane 2-dimensional Kohonen map (net) arranges itself. Once a L-Shape, than a circle, finally a triangle.

Adaption process of a 2-dimensional map

This animation shows the adaption process of a Kohonen map. The net starts in chaos and adapts themselves to a rectangle.

Kohonen's Algorithm

The Software

The software makes it possible to change different parameters of the learning procedure and observe the effects. The current map can be stored at any time as picture in the EPS format (Encapsulated Postscript).