2026 年 17 巻 3 号 p. 945-964
The Optimizer based on Spiking Neural-oscillator Networks (OSNN) is a deterministic swarm intelligence algorithm inspired by Particle Swarm Optimization (PSO). OSNN consists of multiple particles, each composed of multiple spiking oscillators. Each spiking oscillator independently searches a one-dimensional solution space and is coupled to its neighboring oscillator through a Ring 1-way network. In our previous studies, OSNN demonstrated improved performance compared with the classical stochastic PSO, and the effectiveness of the Ring 1-way network was clarified. In the conventional OSNN, the Ring 1-way network is incorporated into spiking oscillators that explore the same dimensional solution space, which is an intra-dimensional coupled network. As a result, spiking oscillators interact with those belonging to other particles, whereas spiking oscillators within the same particle do not interact with one another. Although the Ring 1-way network affects the search dynamics and firing rates of spiking oscillators, the effectiveness of incorporating this network into spiking oscillators within the same particle has not yet been clarified. In this study, we propose an inter-dimensional coupled network by incorporating the Ring 1-way network into spiking oscillators within each particle. Furthermore, we combine the inter-dimensional coupled network with the intra-dimensional coupled network in OSNN, forming the mesh network. The proposed networks increase the firing rates of spiking oscillators in the swarm, and the mesh network, in particular, achieves higher firing rates than the intra-dimensional and the inter-dimensional coupled networks. Numerical experiments are conducted to evaluate the effectiveness of the proposed networks in OSNN by comparing them with the Optimizer with Uncoupled Spiking Neurons (OUSN), OSNN with the intra-dimensional coupled network, and the classical PSO. The simulation results reveal that higher firing rates tend to be associated with better performance when incorporating the Ring 1-way network into OSNN, and OSNN with the mesh network achieves the best performance among the comparison methods.
