INVESTIGATION AND ANALYSIS OF HYSTERESIS IN HOPFIELD AND T-MODEL NEURAL NETWORKS

We report on an experimental hysteresis in the Hopfield networks and e xamine the effect of the hysteresis on some important characteristics of the Hopfield networks. The detail mathematic description of the hys teresis phenomenon in the Hopfield networks is given. It suggests that the hysteresis results from fully-connected interconnection of the Ho pfield networks and the hysteresis tends to make the Hopfield networks difficult to reach the global minimum. This paper presents a T-Model network approach to overcoming the hysteresis phenomenon by employing a half-connected interconnection. As a result, there is no hysteresis phenomenon found in the T-Model networks. Theoretical analysis of the T-Model networks is also given. The hysteresis phenomenon in the Hopfi eld and the T-Model networks is illustrated through experiments and si mulations. The experiments agree with the theoretical analysis very we ll.