Hopfield type phase neural network

B. V. Kryzhanovsky

Federal State Institution “Scientific Research Institute for System Analysis of the Russian Academy of Sciences”, Moscow, Russian Federation

Abstract: This study examines the properties of a fully connected neural network composed of phase neurons, following the Hebbian learning rule. The signals transmitted through the network's interconnections are single pulses with specific phases. A neuron's firing rule is defined as follows: among the total signals received at a neuron's input, the phase component with the highest amplitude is identified, and the neuron emits a single pulse with the same phase. The phases encoding the components of associative memory vectors are randomly distributed. To estimate the recognition error, we employ the Chernov-Chebyshev technique, which is independent of the phase encoding distribution type. Our findings demonstrate that the associative memory capacity of this neural network is four times greater than that of a traditional Hopfield network that operates with binary patterns. Consequently, the radius of the attraction region is also four times larger.

Keywords: phase neuron, associative memory, Hebbian learning rule, recognition.

DOI: 10.51790/2712-9942-2024-5-2-01