Paper ID: 2406.07790

Hierarchical Neural Networks, p-Adic PDEs, and Applications to Image Processing

W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Baboucarr Dibba

The first goal of this article is to introduce a new type of p-adic reaction-diffusion cellular neural network with delay. We study the stability of these networks and provide numerical simulations of their responses. The second goal is to provide a quick review of the state of the art of p-adic cellular neural networks and their applications to image processing.

Submitted: Jun 12, 2024