arXiv:2603.00064 · v2

The minimal width of universal $p$-adic ReLU neural networks

首次提交 2026-02-10 21:53

版本更新 2026-11-04 22:11

雷达观测 2026-11-05 12:13

摘要

We determine the minimal width of $p$-adic neural networks with the universal approximation property for continuous $\mathbb Q_p$-valued functions on compact open subsets with respect to the $L_q$ norms and the $C_1$ norm, where the activation function is a natural $p$-adic analogue of the ReLU function.

作者备注：19 pages, comments welcome!