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

被引：1

作者：

Zuniga-Galindo, W. A. ^{[1
]}

Zambrano-Luna, B. A. ^{[2
]}

Dibba, Baboucarr ^{[1
]}

机构：

[1] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, One West Univ Blvd, Brownsville, TX 78520 USA

[2] Univ Alberta, Dept Math & Stat Sci, CAB 632, Edmonton, AB T6G 2G1, Canada

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2024年 / 31卷 / 01期

关键词：

p-Adic analysis; Cellular neural networks; Wilson-Cowan models; Hierarchical neural networks; Reaction-diffusion equations; Delay; Stationary states; Image processing; Edge detection; Denoising; MATHEMATICAL-THEORY; CONNECTIVITY; DYNAMICS; EXISTENCE; MODEL;

D O I：

10.1007/s44198-024-00229-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：40

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