REVISION AND PRACTICE

Check your understanding

1 min read
  • What is the difference between n and d in a dataset?
  • Why does “identically distributed” not mean identical samples?
  • What distribution does x~=gθ(z)\tilde{x}=g_\theta(z) have, and what determines it?
  • Why is argmin not the same object as a minimum value?
  • What is the correct direction of the convexity inequality?
  • Which extra condition on f makes Jensen imply nonnegative f-divergence?
  • Why can KL divergence fail to be a distance metric?

About the examples: Numerical exercises and prerequisite detours are original teaching aids. They clarify chapter material rather than introducing new syllabus topics.

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