ML0030 Sigmoid

What are the advantages and disadvantages of using a sigmoid activation function?

Answer

The sigmoid activation function transforms input values into a range between 0 and 1, making it useful in various applications like binary classification.
\mbox{Sigmoid}(x) = \frac{1}{1 + e^{-x}}

Advantages:
(1) Smooth, Bounded Gradient: The sigmoid’s S‑shape yields a continuous derivative, preventing abrupt changes in backpropagation and aiding stable training on shallow networks.
(2) Probability interpretation: Since the output is between 0 and 1, it can be useful for problems where predictions need to represent probabilities.

Disadvantages:
(1) Vanishing gradient problem: For very large or small inputs, the gradient becomes almost zero, slowing down training in deep networks.
(2) Not zero-centered: The outputs are always positive, which can lead to inefficient weight updates and slower convergence.


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