A locally inhibited lateral neural network: on the fundamental features of a network consisting of neurons with a restricted range of interaction.

A network model that consists of neurons with a restricted range of interaction is presented. The neurons are connected mutually by inhibition weights. The inhibition of the whole network can be controlled by the range of interaction of a neuron. By this local inhibition mechanism, the present network can produce patterns with a small activity from input patterns with various large activities. Moreover, it is shown in simulation that the network has attractors for input patterns. The appearance of attractors is caused by the local interaction of neurons. Thus, we expect that the network not only works as a kind of filter, but also as a memory device for storing the produced patterns. In the present paper, the fundamental features and behavior of the network are studied by using a simple network structure and a simple rule of interaction of neurons. In particular, the relation between the interaction range of a neuron and the activity of input-output patterns is shown in simulation. Furthermore, the limit of the transformation and the size of basin are studied numerically.