The minimal width of universal p-adic ReLU neural networks
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Abstract (arXiv)
We determine the minimal width of p-adic neural networks with the universal approximation property for continuous mathbb 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.
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References · 4
- 2017The Expressive Power of Neural Networks: A View from the Widthcited by 318
- 2017Approximating Continuous Functions by ReLU Nets of Minimal Widthcited by 120
- 2020Minimum Width for Universal Approximationcited by 92
- 2023Minimum width for universal approximation using ReLU networks on compact domaincited by 17
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