Heterogeneity enhanced order in a chaotic neural network.
Shin Mizutani, Katsunori Shimohara · 1999
Abstract. Order of the mean eld by heterogeneity is studied in the turbulent phase of a chaotic neural network. Heterogeneity means the distributed randomness of the input in each neuron or the weight in the network. The average power spectrum of the mean eld is used to observe the order and to focus on its peak sharpness. The sharpness of the power peak grows remarkably in the turbulent phase, except around the phase, due to the input disorder. One can nd the maximum of the power sharpness as the weight disorder increases in the turbulent phase. We suppose that this ordering e ect is important for processing information for actual neural networks because of the general existence of such heterogeneity. 1.