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Locally Private k-Means in One Round

ICML 2021 · Federated learning and privacy › Differential privacy · approach: Differentially private clustering · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a one-round net-tree private coreset in the local DP modelk-means · One-round local DPapproximation ratio: κ(1 + α)Helped
Adapt the coreset framework to the shuffle DP modelk-means · One-round shuffle DPadditive error: \tilde{O}(k^{O_{\alpha}(1)} \cdot \sqrt{d}/ \epsilon)Helped
Increase dataset sizePrivate k-means algorithm · Synthetic mixtures of Gaussiansnormalized k-means objectiveHelped
Increase privacy parameter εPrivate k-means algorithm · Synthetic mixtures of Gaussiansnormalized k-means objectiveHelped
Increase the number of clusters kPrivate k-means algorithm · Synthetic mixtures of Gaussiansnormalized k-means objectiveHurt
Add Gaussian or Laplace noise to each point, then run k-means++Naive private clustering baseline · Synthetic datasetsclustering qualityHurt

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