Bounds on the Posterior-to-Prior Ratios for Inclusion Belief under Bounded Differential Privacy

arXiv:2608.30473 · math.ST, cs.CR, stat.TH · Submitted 2026-08-31 · Read on arXiv

math.ST, cs.CR, stat.TH

Submitted: 2026-08-31

Updated: 2026-08-31

Code: https://github.com/janreiter793/ratio

Terminology

• Differential Privacy — 103× in this paper · explained in 4 episodes
• Differentially Private — 9× in this paper · explained in 3 episodes
• Hamming Distance — 4× in this paper · explained in 2 episodes
• Calibration — 3× in this paper · explained in 7 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Additivity — 1× in this paper · explained in 1 episode
• Scaling Laws — 1× in this paper · explained in 4 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes

Sources

• Understanding Disclosure Risk in Differential Privacy with Applications to Noise Calibration and Auditing (Extended Version)
• Scaling Laws for Differentially Private Language Models
• Reviewing and Improving the Gaussian Mechanism for Differential Privacy

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