Research map / Federated learning and privacy / Differential privacy
The Price of Differential Privacy under Continual Observation
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Require continual release rather than one batch output | Differentially private maxsum · maxsum, approximate DP | worst-case error: The continual-release lower bound is $\tilde \Omega\Big(\min\Big\{\sqrt[3]{\frac T {\varepsilon^2}},\frac{\sqrt{d}}\vare | Hurt |
| Require continual release rather than one batch output | Differentially private maxsum · maxsum, pure DP | worst-case error: $\tilde \Omega\Big(\min\Big\{\sqrt{\frac T \varepsilon},\frac{d}\varepsilon,T\Big\}\Big)$ versus $O(\frac 1\varepsilon)$ | Hurt |
| Require continual release rather than one batch output | Differentially private selection · selection, approximate DP | worst-case error: The continual-release lower bound is $\tilde \Omega\Big(\min\Big\{\sqrt[3]{\frac {T\log^2 d} {\varepsilon^2}},\frac{\sqr | Hurt |
| Require continual release rather than one batch output | Differentially private selection · selection, pure DP | worst-case error: $\tilde \Omega\Big(\min\Big\{\sqrt{\frac {T\log d} {\varepsilon}},\frac{d}\varepsilon,T\Big\}\Big)$ versus $O\paren{\fra | Hurt |
| Use the stated continual-release mechanisms instead of an unrestricted mechanism | maxsum and selection · maxsum and selection, continual release | worst-case error: The upper and lower bounds differ only in the $\text{polylog}(T)$ terms | No clear effect |
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