On Approximation Capabilities of ReLU Activation and Softmax Output Layer in Neural Networks

10 Feb 2020Behnam AsadiHui Jiang

In this paper, we have extended the well-established universal approximator theory to neural networks that use the unbounded ReLU activation function and a nonlinear softmax output layer. We have proved that a sufficiently large neural network using the ReLU activation function can approximate any function in $L^1$ up to any arbitrary precision... (read more)

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