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.
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页数：40
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