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H13-311_V3.5 · Question #336

The activation function plays an important role in the neural network model learning and understanding of very complex problems. The following statement about the activation function is correct.

The correct answer is B. Activation functions are non-linear functions. Activation functions must be non-linear to give neural networks their power - without non-linearity, stacking multiple layers would collapse into a single linear transformation, making deep networks mathematically equivalent to a single-layer model and incapable of learning…

Deep Learning Basics

Question

The activation function plays an important role in the neural network model learning and understanding of very complex problems. The following statement about the activation function is correct.

Options

  • AActivation functions are linear functions
  • BActivation functions are non-linear functions
  • CThe activation function is partly a nonlinear function, partly a linear function
  • DMost of the activation functions are nonlinear functions, and a few are linear functions

How the community answered

(69 responses)
  • A
    1% (1)
  • B
    84% (58)
  • C
    10% (7)
  • D
    4% (3)

Explanation

Activation functions must be non-linear to give neural networks their power - without non-linearity, stacking multiple layers would collapse into a single linear transformation, making deep networks mathematically equivalent to a single-layer model and incapable of learning complex patterns like images, speech, or language. Option A is wrong because purely linear activation functions (e.g., f(x) = x) eliminate the benefit of depth entirely. Option C is wrong because "partly nonlinear, partly linear" mischaracterizes the definition - an activation function is either one or the other, not a blend of both categories. Option D is a tempting near-miss, but it's incorrect because there is no meaningful class of activation functions in standard use that are truly linear (even ReLU, which is linear in each piece, is piecewise non-linear overall and is classified as non-linear).

Memory tip: Think of it this way - "activation" implies doing something interesting; a linear function passes data through unchanged (boring), while a non-linear function activates the network's ability to model complexity. All real activation functions (Sigmoid, Tanh, ReLU, Leaky ReLU, Softmax) are non-linear - no exceptions in practice.

Topics

#Activation Functions#Non-linear Functions#Neural Networks#Deep Learning

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