Hierarchical Neural Networks, p-Adic PDEs, and Applications to Image Processing
Neural and Evolutionary Computing
2024-06-13 v1 Artificial Intelligence
Image and Video Processing
Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.2406.07790,
title = {Hierarchical Neural Networks, p-Adic PDEs, and Applications to Image Processing},
author = {W. A. Zúñiga-Galindo and B. A. Zambrano-Luna and Baboucarr Dibba},
journal= {arXiv preprint arXiv:2406.07790},
year = {2024}
}