Explicit C2-smooth approximate Kolmogorov superpositions are constructed via translated dilated inner functions and piecewise C2 outer interpolation, achieving N^{-alpha} accuracy for alpha-Holder functions.
Error bounds for deep ReLU networks using the Kolmogorov– Arnold superposition theorem
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Explicit Construction of Approximate Kolmogorov Superpositions with C2 Smoothness
Explicit C2-smooth approximate Kolmogorov superpositions are constructed via translated dilated inner functions and piecewise C2 outer interpolation, achieving N^{-alpha} accuracy for alpha-Holder functions.