# Show Tag: function-approximation

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Single layer perceptrons cannot approximate every continuous function.

Multilayer perceptrons can approximate any continuous function with only a single hidden layer.

It was known before Hornik et al.'s work, that specific classes of multilayer feedforward networks could approximate any continuous function.

Hornik et al. showed that multilayer feed-forward networks with arbitrary squashing functions can approximate any continuous function with only a single hidden layer with any desired accuracy (on a compact set of input patterns).

If an MLP fails to approximate a certain function, this can be due to