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The Price of Differential Privacy under Continual Observation

ICML 2023 · Federated learning and privacy › Differential privacy · approach: Privacy accounting and mechanisms · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Require continual release rather than one batch outputDifferentially private maxsum · maxsum, approximate DPworst-case error: The continual-release lower bound is $\tilde \Omega\Big(\min\Big\{\sqrt[3]{\frac T {\varepsilon^2}},\frac{\sqrt{d}}\vareHurt
Require continual release rather than one batch outputDifferentially private maxsum · maxsum, pure DPworst-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 outputDifferentially private selection · selection, approximate DPworst-case error: The continual-release lower bound is $\tilde \Omega\Big(\min\Big\{\sqrt[3]{\frac {T\log^2 d} {\varepsilon^2}},\frac{\sqrHurt
Require continual release rather than one batch outputDifferentially private selection · selection, pure DPworst-case error: $\tilde \Omega\Big(\min\Big\{\sqrt{\frac {T\log d} {\varepsilon}},\frac{d}\varepsilon,T\Big\}\Big)$ versus $O\paren{\fraHurt
Use the stated continual-release mechanisms instead of an unrestricted mechanismmaxsum and selection · maxsum and selection, continual releaseworst-case error: The upper and lower bounds differ only in the $\text{polylog}(T)$ termsNo clear effect

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