Nonlinear dynamical modeling of neural activity using volterra series with GA-enhanced particle swarm optimization algorithm

Cogn Neurodyn. 2023 Apr;17(2):467-476. doi: 10.1007/s11571-022-09822-1. Epub 2022 Jun 7.

Abstract

In order to improve the modeling performance of Volterra sequence for nonlinear neural activity, in this paper, a new optimization algorithm is proposed to identify Volterra sequence parameters. Algorithm combines the advantages of particle swarm optimization (PSO) and genetic algorithm (GA) improve the performance of the identification of nonlinear model parameters from rapidity and accuracy. In the modeling experiments of neural signal data generated by the neural computing model and clinical neural data set in this paper, the proposed algorithm shows its excellent potential in nonlinear neural activity modeling. Compared with PSO and GA, the algorithm can achieve less identification error, and better balance the convergence speed and identification error. Further, we explore the influence of algorithm parameters on identification efficiency, which provides possible guiding significance for parameter setting in practical application of the algorithm.

Keywords: Genetic algorithm; Neural activity; Nonlinear dynamical modeling; Particle swarm optimization; Volterra series.