A note on the expressive power of deep rectified linear unit networks in high‐dimensional spaces

Liang Chen, Congwei Wu · Mathematical Methods in the Applied Sciences · 2019

We investigate the ability of deep deep rectified linear unit (ReLU) networks to approximate multivariate functions. Specially, we establish the approximation error estimate on a class of bandlimited functions; in this case, ReLU networks can overcome the “curse of dimensionality.”

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