Analytic function approximation by path norm regularized deep networks

5 Apr 2021 · Aleksandr Beknazaryan ·

We show that neural networks with absolute value activation function and with the path norm, the depth, the width and the network weights having logarithmic dependence on $1/\varepsilon$ can $\varepsilon$-approximate functions that are analytic on certain regions of $\mathbb{C}^d$.

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