Identify the activation function represented by \(\phi(V)=Z+\frac{1}{1+\exp(-XV…

2012

Identify the activation function represented by \(\phi(V)=Z+\frac{1}{1+\exp(-XV+Y)}\), where Z, X, and Y are parameters.

Answer: C. Sigmoid function — ConceptAn activation function maps a neuron input to an output. A sigmoid is a smooth, bounded, S-shaped member of the logistic family. Its standard structure…

  1. A.

    Step function

  2. B.

    Ramp function

  3. C.

    Sigmoid function

  4. D.

    Gaussian function

Attempted by 61 students.

Show answer & explanation

Correct answer: C

Concept

An activation function maps a neuron input to an output. A sigmoid is a smooth, bounded, S-shaped member of the logistic family.

Its standard structure is an offset plus a reciprocal term containing 1 plus an exponential of a linear expression.

Application

  1. In the given expression, Z supplies the vertical offset, while X and Y control the slope and horizontal shift of the transition.

  2. As V varies, the reciprocal term changes smoothly between limiting values, so φ(V) changes smoothly between Z and Z + 1.

Cross-check and contrast

  • Step function: changes discontinuously at a threshold.

  • Ramp function: is piecewise linear rather than S-shaped.

  • Gaussian function: is bell-shaped and decreases toward its baseline on both sides of its centre.

Therefore, the expression represents a sigmoid function.

Explore the full course: Mppsc Assistant Professor Computer Science Paper 2

Loading lesson…