4 papers
Hierarchical Neural Networks, p-Adic PDEs, and Applications to Image Processing
W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Baboucarr Dibba
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 nume…
Deep Neural Networks: A Formulation Via Non-Archimedean Analysis
W. A. Zúñiga-Galindo
We introduce a new class of deep neural networks (DNNs) with multilayered tree-like architectures. The architectures are codified using numbers from the ring of integers of non-Arc…
A p-adic Multivariate Version of Igusa's Stationary Phase Method
W. A. Zuniga-Galindo
This paper has been withdrawn by the author. The proof of the main result has a gap that the author does not know how to fix it.
Parabolic Equations and Markov Processes Over p-adic Fields
W. A. Zuniga-Galindo
We construct and study a fundamental solution of Cauchy's problem for p-adic parabolic equations of a certain the type. The fundamental solution is the transition density of a p-ad…