Advantages and drawbacks of the Batch Kohonen algorithm

The Kohonen algorithm (SOM) was originally defined as a stochastic algorithm which works in an on-line way and which was designed to model some plastic features of the human brain. In fact it is nowadays extensively used for data mining, data visualization, and exploratory data analysis. Some users are tempted to use the batch version of the Kohonen algorithm (KBATCH) since it is a deterministic algorithm which can go faster in some cases. After [7], which tried to elucidate the mathematical nature of the Batch variant, in this paper, we give some elements of comparison for both algorithms, using theoretical arguments, simulated data and real data.