Analysis of neighborhood interaction in Kohonen neural networks

A formal analysis of the neighborhood interaction of Kohonen neural networks is presented. The authors propose a new neighborhood interaction to improve the topological order of the neural network. The neighborhood interaction which depends on lateral distance is motivated by anatomical evidence as opposed to what is currently used, which is a constant. The authors also mathematically show that using the new neighborhood interaction will enforce the topological order in the neighborhood set for every iteration. One simulation is presented to show that the topological order is improved by using the new neighborhood interaction