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Artificial neural networks (ANNs) are a broad class of computational models loosely based on biological neural networks. They encompass feedforward NNs (including "deep" NNs), convolutional NNs, recurrent NNs, etc.

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$\sin(x)$ is a counterexample to the universal approximation theorem

Inspired by AnoE's answer to the problem Can a neural network with only 1 hidden layer solve any problem?, I want to rigorously prove that the sine function over the real line cannot be well approxima …
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