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

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.

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Publication Details

Journal
Journal of Nonlinear Mathematical Physics
Published
2024-09-16
DOI
https://doi.org/10.1007/s44198-024-00229-6
Citations
5
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
4.45
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article

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

W. A. Zúñiga‐Galindo, B. A. Zambrano-Luna, Baboucarr Dibba
5 citations
Journal of Nonlinear Mathematical Physics
advanced mathematical theories
4.45
article

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

W. A. Zúñiga‐Galindo, B. A. Zambrano-Luna, Baboucarr Dibba
article en
5 citations

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.

Journal of Nonlinear Mathematical PhysicsVol. 31(1)
University of Alberta (CA), The University of Texas Rio Grande Valley (US)
Openalex Percentile: Top 4%
advanced mathematical theories
4.45
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