Communications and forum: Abstract neural automata ‐ further considerations

The purpose of this paper is to consider the following three kinds of cases: first, where a network of stochastic automata consists of a neuron of several types; second, where not only pair‐wise interaction of the neuron occurs, but also that between groups of the neuron; and, third, where neurons are located in d‐dimensional Euclidean space. This is based on neurons of different types having been distinguished by the neurophysiological theory of the retina of vertebrates, where the retina consists of overlapping sheets which are composed of cells receiving light, bipolar cells, ganglion cells, respectively; there are also horizontal cells and amacrine; a functional unit of the central nervous system of vertebrates is composed of the group of neurons which have the form of a network; and the case where neurons are located in d‐dimensional Euclidean space will extend theoretical significance and practical significance of abstract neural automata. The existence of abstract neural automata will be proved in all three cases.