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21 - Quiz

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What is Automatic Differentiation (AD)?

  • A. A numerical method using small step sizes
  • B. A symbolic manipulation of expressions
  • C. A method to approximate gradients using sampling
  • D. A technique to compute derivatives exactly via the chain rule

What does the Jacobian represent?

  • A. Second derivative
  • B. A Vector product of function values
  • C. A Matrix product of partial derivatives
  • D. Gradient descent step

Forward mode computes:

  • A. One row of the Jacobian per pass
  • B. The full Jacobian in one pass
  • C. One column of the Jacobian per pass
  • D. Only scalar derivatives

When is reverse mode most efficient?

  • A. When output dimension is large
  • B. When input dimension is small
  • C. When output dimension is small
  • D. Never