Sigmoid function

A sigmoid function is a mathematical function having a characteristic āSā-shaped curve or sigmoid curve.

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Sigmoid Functions are used excessively in neural networks. What distinguishes the perceptron from sigmoid neuron or logistic neuron is the presence of the sigmoid function or the logistic function in the sigmoid neuron.

It is used in neural networks to give logistic neurons real-valued output that is a smooth and bounded function of their total input.

It also has the added benefit of having nice derivatives which make learning the weights of a neural network easier.