Claudius Gläser, Frank Joublin, Christian Goerick, "Enhancing Topology Preservation during Neural Field Development via Wiring Length Minimization", Proceedings of the 18th International Conference on Artificial Neural Networks - ICANN 2008, Part I, Springer Verlag, pp. 593–602, 2008.

We recently proposed a recurrent neural network model for the development of dynamic neural fields [1]. The learning regime incorporates homeostatic processes, such that the network is able to selforganize and maintain a stable operation mode even in face of experiencedriven changes in synaptic strengths. However, the learned mappings do not necessarily have to be topology preserving. Here we extend our model by incorporating another mechanism which changes the positions of neurons in the output space. This algorithm operates with a purely local objective function of minimizing the wiring length and runs in parallel to the above mentioned learning process. We experimentally show that the incorporation of this additional mechanism leads to a significant decrease in topological defects and further enhances the quality of the learned mappings. Additionally, the proposed algorithm is not limited to our network model; rather it can be applied to any type of self-organizing maps.