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Privacy Amplification via Random Check-Ins

NeurIPS 2020 · Federated learning and privacy › Differential privacy · approach: DP-SGD refinements · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace no amplification with random check-ins using a fixed windowDistributed DP-SGD · One epoch DP-SGD (n updates)central DP ε: \ensuremath{\varepsilon}_0 -> O\left( e^{1.5\ensuremath{\varepsilon}_0} / \sqrt{n}\right)Helped
Use random check-ins instead of uniform subsamplingDistributed DP-SGD · One epoch DP-SGD (n updates)central DP ε: O\left(e^{\ensuremath{\varepsilon}_0} / \sqrt{n}\right) -> O\left( e^{1.5\ensuremath{\varepsilon}_0} / \sqrt{n}\right)Mixed
Use the improved shuffling analysisPrivacy amplification by shuffling · One epoch DP-SGD (n updates)central DP ε: O\left(e^{3\ensuremath{\varepsilon}_0} / \sqrt{n}\right) -> O\left(e^{2.5\ensuremath{\varepsilon}_0} / \sqrt{n}\right)Helped
Use the fixed-window random check-in bound instead of the prior shuffling boundPrivacy amplification for one epoch of DP-SGD · One epoch DP-SGD (n updates)central DP ε: O\left(e^{3\ensuremath{\varepsilon}_0} / \sqrt{n}\right) -> O\left( e^{1.5\ensuremath{\varepsilon}_0} / \sqrt{n}\right)Helped
Average updates from all checked-in clients rather than selecting one and using dummy updatesRandom check-in distributed DP-SGD · Fixed-window distributed DP-SGDcentral DP ε: O(\ensuremath{\varepsilon}_0 / \sqrt{m})Mixed
Restrict client check-ins to sliding availability windowsRandom check-in distributed DP-SGD · Sliding-window distributed DP-SGDcentral DP ε: \ensuremath{\varepsilon} \leq 7\ensuremath{\varepsilon}_0\sqrt{\frac{\log(1/\delta)}{m}}Helped
Set the check-in probability to p0 = m/n and repeat the fixed-window protocol n/m timesRandom check-ins with a fixed window · Repeated fixed-window protocolcentral DP ε: \tilde{O}\left( e^{1.5\ensuremath{\varepsilon}_0} / \sqrt{n}\right)Helped

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