From Robustness to Privacy and Back
summary
Gives a black-box transformation that turns any robust estimator into an ε‑differentially private estimator, with the DP error matching the robust error for a specific corruption level determined by parameter‑space size, sample size and ε. Shows the construction is tight: DP procedures produced are optimal in low dimensions and optimal for several high‑dimensional tasks if the robust estimator is optimal. Establishes an equivalence between ε‑privacy and robustness at a corruption scale about log n/ε.
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