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Differentially Private k-Means with Constant Multiplicative Error

NeurIPS 2018 · Federated learning and privacy › Differential privacy · approach: Differentially private clustering · 28 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the proposed private k-means algorithm instead of the prior best algorithmCentralized differentially private k-means · Euclidean k-meansmultiplicative error: O(k) -> O(1)Helped
Use the proposed private k-means algorithm instead of the prior best algorithmCentralized differentially private k-means · Euclidean k-meansadditive error: \tilde{O}(d^{0.51} \cdot k^{1.51}) -> \tilde{O}(k^{1.01} \cdot d^{0.51} + k^{1.5})Mixed
Use the proposed protocol instead of the prior local k-means protocolLocal differentially private k-means · Euclidean k-meansmultiplicative error: O(k) -> constantHelped
Use the proposed protocol instead of the prior local k-means protocolLocal differentially private k-means · Euclidean k-meansinteraction rounds: O(k log n) -> O(1)Helped
Iteratively apply Private-Centers to remaining points and remove points closest to discovered centersPrivate-k-Means · Euclidean k-means, centralizedadditive error: poly(n) -> poly(log(n), log(1/β), log(1/δ), d, 1/ε, k)Helped

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