Projection of undirected and non-positional graphs using Self Organizing Maps

Kohonen's Self-Organizing Map is a popular method which allows the projection of high dimensional data onto a low dimensional display space. Models of Self-Organizing Maps for the treatment of graphs have also been defined and studied. This paper proposes an extension to the GraphSOM model which sub- stantially improves the stability of the model, and, as a side effect, allows for an acceleration of training. The proposed extension is based on a soft encoding of the information needed to represent the vertices of an input graph. Experimental results demonstrate the advantages of the proposed extension.