分层神经网络、p-Adic PDEs 及其在图像处理中的应用

IF 1.4 4区物理与天体物理 Q2 MATHEMATICS, APPLIED

Journal of Nonlinear Mathematical Physics Pub Date : 2024-09-16 DOI:10.1007/s44198-024-00229-6

W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Baboucarr Dibba

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引用次数: 0

摘要

本文的首要目标是介绍一种新型带延迟的 p-adic 反应扩散蜂窝神经网络。我们研究了这些网络的稳定性，并对其响应进行了数值模拟。第二个目的是快速回顾 p-adic 蜂窝神经网络的技术现状及其在图像处理中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

查看原文本刊更多论文

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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来源期刊

Journal of Nonlinear Mathematical Physics PHYSICS, MATHEMATICAL-PHYSICS, MATHEMATICAL

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： Journal of Nonlinear Mathematical Physics (JNMP) publishes research papers on fundamental mathematical and computational methods in mathematical physics in the form of Letters, Articles, and Review Articles. Journal of Nonlinear Mathematical Physics is a mathematical journal devoted to the publication of research papers concerned with the description, solution, and applications of nonlinear problems in physics and mathematics. The main subjects are: -Nonlinear Equations of Mathematical Physics- Quantum Algebras and Integrability- Discrete Integrable Systems and Discrete Geometry- Applications of Lie Group Theory and Lie Algebras- Non-Commutative Geometry- Super Geometry and Super Integrable System- Integrability and Nonintegrability, Painleve Analysis- Inverse Scattering Method- Geometry of Soliton Equations and Applications of Twistor Theory- Classical and Quantum Many Body Problems- Deformation and Geometric Quantization- Instanton, Monopoles and Gauge Theory- Differential Geometry and Mathematical Physics