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For questions about the rectified linear unit (ReLU) or rectifiers, which is a widely used activation function in neural networks.

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Why cannot linear activation functions be used to approximate any function?

In neural networks we use nonlinear activation functions such as sigmoid, ReLU, etc. … In case, if it is possible to approximate any function using a ReLU activation function (which is linear in the first quadrant), why is it not possible to approximate with a function completely linear? …