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Private Meta-Selection

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Defines private meta‑selection: pick the best among K differentially private candidate mechanisms while avoiding an ε cost linear in K. Gives a randomized algorithm that samples the number of trials from a geometric distribution, outputs a model plus a noisy score, and provably competes with the best candidate median. Guarantees include 3×ε_base privacy, runtime ~K/β for target percentile P≈1/K, and success prob ≥1−β. Variants handle (ε,δ) bases and bounded runtime.

AI-written summary · about

  1. 0:00Start
  2. 0:34Selection Problem
  3. 2:30Motivating the Problem
  4. 8:10The Meta Selection Problem
  5. 22:07Optimization
  6. 26:51History
  7. 30:51Private Reputation Theorem
  8. 41:32Open Questions
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