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Zi-Lan Cheng

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#machine learning Preprint Sep 2026

Arbitrary-Accuracy Neural Approximation with Optimal Neuron Count and Near-Optimal Bit Complexity

We study the minimum number of hidden neurons required for arbitrary-accuracy approximation of multivariate H\"older-continuous functions on $[0,1]^d$ and the associated encoding complexity. For $d\geq 2$, we construct a fixed, explicitly defined activation function for which a closed-form network with two hidden layer...

Zi-Lan Cheng, Li-Lian Wang, Zhong-Jian Wang · 0 citations

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