Cynthia Dwork: The Mathematics of Privacy

Cynthia Dwork: The Mathematics of Privacy

International Mathematical Union via YouTube Direct link

Gaussian Mechanism

10 of 19

10 of 19

Gaussian Mechanism

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Classroom Contents

Cynthia Dwork: The Mathematics of Privacy

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  1. 1 Intro
  2. 2 Fundamental Law of Info Reconstruction • Overly accurate" estimates of too many" statistics is
  3. 3 Statistics 'Feel Private
  4. 4 Privacy Preserving Data Analysis
  5. 5 Differential Privacy M gives e-differential privacy if for all pairs of adjacent data
  6. 6 Some Properties of Differential Privacy
  7. 7 The Laplace Mechanism
  8. 8 The Privacy Loss Random Variable
  9. 9 Advanced Composition Theorem • Recall privacy loss is sometimes negative -- there is cancellation
  10. 10 Gaussian Mechanism
  11. 11 Concentrated Differential Privacy
  12. 12 Privacy Amplification via Subsampling
  13. 13 (6,8)-DP Projected Gradient Descent
  14. 14 Optimized Private Gradient Descent
  15. 15 Creative Privacy Accounting Thought Experiment: Consider two steps of Noisy-SGD with fixed sample order
  16. 16 Amplification by Secrecy of the Journey
  17. 17 Challenge
  18. 18 Crucial Definition
  19. 19 "Shift" Calculus

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