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Differentially Private Sampling from Distributions

NeurIPS 2021 · Federated learning and privacy › Differential privacy · approach: Local-DP and private estimation · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use private sampling rather than privately learning a distributionDistributions on [k] · Distributions on [k]sample complexity: Θ\paren{\dfrac{k}{\alpha \varepsilon}} vs. Θ\paren{\dfrac{k}{\alpha^2} + \dfrac{k}{\alpha \varepsilon}}Helped
Use private sampling rather than privately learning a distributionProduct distributions on {0,1}^d · Product distributions on {0,1}^dsample complexity: \tilde \Theta\paren{\dfrac{d }{\alpha \varepsilon}} vs. \tilde \Theta\paren{\dfrac{d }{\alpha \varepsilon} + \dfrac{d}{\Helped
Restrict product-distribution biases to [1/3, 2/3]Private sampling for product distributions · Product distributions on {0,1}^dsample complexity: \tilde \Theta\paren{\dfrac{d }{\alpha \varepsilon}} -> \tilde O \paren{\dfrac{\sqrt{d}}{\varepsilon} + \log\dfrac{d}{\alHelped
Use private sampling instead of nonprivate learning for bounded-bias product distributionsProduct distributions with biases in [1/3, 2/3] · Product distributions on {0,1}^d, biases in [1/3, 2/3]sample complexity: \Theta\paren{ \dfrac{d}{\alpha^2}} vs. \tilde O \paren{\dfrac{\sqrt{d}}{\varepsilon} + \log\dfrac{d}{\alpha}}Helped

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