C^1 approximation of Hölder functions by rational functions and rational neural networks is proven with rate N^{-(β-1)}, via a new rational approximation of ReQU.
A descent algorithm for the optimal control of ReLU neural network informed PDEs based on approximate directional derivatives.SIAM Journal on Optimization, 34(3):2314–2349, 2024
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$\mathcal{C}^1$-approximation with rational functions and rational neural networks
C^1 approximation of Hölder functions by rational functions and rational neural networks is proven with rate N^{-(β-1)}, via a new rational approximation of ReQU.