paper
arXiv cs.LG
November 5th, 2026 at 5:00 AMThe minimal width of universal $p$-adic ReLU neural networks
arXiv:2603.00064v2 Announce Type: replace-cross Abstract: 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.
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Canonical link: https://arxiv.org/abs/2603.00064