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Optimal Private Median Estimation under Minimal Distributional Assumptions

NeurIPS 2020 · Federated learning and privacy › Differential privacy · approach: Local-DP and private estimation · 8 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the proposed PrivateMedian estimator under pure ε-differential privacyMedian estimation · Admissible distributionssample complexity: O\left( \frac{\log \left( \frac{1}{\beta}\right)}{L^2 \alpha^2}+\frac{ \log \left(\frac{1}{\beta}\right)}{\varepsilon L\Helped
Set C=C_0 log n instead of a sufficiently large constant (ablation)PrivateMedian · Admissible distributionsexpected runtime: \tilde{O}(n)Helped
Set C=C_0 log n instead of a sufficiently large constant (ablation)PrivateMedian · Admissible distributionssample complexity: n=O\left( \frac{\log \left( \frac{1}{\beta}\right)}{L^2 \alpha^2}+C_n\frac{ \log \left(\frac{1}{\beta}\right)}{\varepsilHurt

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