The use of additional noise in reinforcement training of probabilistic
RAMS (pRAMs) is analysed in the context of pattern recognition. Both
simulations and analysis indicate the effectiveness of adding a contro
lled level of noise during training. If the characteristics of the add
ed noise match the noise expected in the testing signals then optimal
behaviour is to be expected. It is shown how noise broadens the basins
of attraction for the net and this is achieved in a manner determined
by the characteristics of the training set, not by a separate general
isation process. Mathematical analysis of the asymplotic values of the
weights is performed and is shown to agree with the results obtained
by simulation. This analysis is extended to multiple layers. Finally,
an analysis of the weights in a trained net is performed to illustrate
how training noise both forms the basins of attraction and also achie
ves the maximum distance between attractors for optimum classification
performance.