The minimal width of universal $p$-adic ReLU neural networks
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908856838258688 |
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| author | Kiss, Sándor Z. Pál, Ambrus |
| author_facet | Kiss, Sándor Z. Pál, Ambrus |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_00064 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The minimal width of universal $p$-adic ReLU neural networks Kiss, Sándor Z. Pál, Ambrus Number Theory Machine Learning 68T07, 12J25, 26E30 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. |
| title | The minimal width of universal $p$-adic ReLU neural networks |
| topic | Number Theory Machine Learning 68T07, 12J25, 26E30 |
| url | https://arxiv.org/abs/2603.00064 |