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Identify the following activation function :

\(\phi(V) = Z + \frac{1}{1 + \exp(-x * V + Y)}\), Z, X, Y are parameters

  • A.Step function
  • B.Ramp function
  • C.Sigmoid function
  • D.Gaussian function

Answer: C

The function \(\phi(V) = Z + 1/(1 + \exp(-xV + Y))\) is an S shaped curve built from the logistic expression with a shift Z, a slope parameter x and an offset Y, so it is the sigmoid function. A step function jumps from one value to another, a ramp function rises linearly between two limits, and a Gaussian function is bell shaped with an exponent of a squared term, so none of these has the form given. The keyed answer is the sigmoid function.

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