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Guozhi Zhang

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#machine learning Preprint Sep 2026

Shallow neural network approximation in mixed Sobolev spaces

We investigate the best $L_2$ approximation of mixed Sobolev spaces by shallow neural networks with $n$ neurons and general activation functions. We first establish an activation-independent Fourier-block principle: if an activation has univariate approximation order $\rho$ in the sense of the Fourier-block property, t...

Yuwen Li, Guozhi Zhang · 0 citations

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