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

This work addresses the problem of developing novel neural network architectures for image processing, but it appears incremental as it builds upon existing p-adic cellular neural networks.

The authors introduced a new type of p-adic reaction-diffusion cellular neural network with delay, studying its stability and providing numerical simulations of responses, while also reviewing the state of the art of p-adic cellular neural networks and their applications to image processing.