We determine the minimal width of p-adic neural networks with the universal approximation property for continuous Qp-valued functions on compact open subsets with respect to the Lq norms and the C1 norm, where the activation function is a natural p-adic analogue of the ReLU function.
@article{arxiv.2603.00064,
title = {The minimal width of universal $p$-adic ReLU neural networks},
author = {Sándor Z. Kiss and Ambrus Pál},
journal= {arXiv preprint arXiv:2603.00064},
year = {2026}
}