Research map / Federated learning and privacy / Differential privacy
Differentially Private k-Means with Constant Multiplicative Error
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the proposed private k-means algorithm instead of the prior best algorithm | Centralized differentially private k-means · Euclidean k-means | multiplicative error: O(k) -> O(1) | Helped |
| Use the proposed private k-means algorithm instead of the prior best algorithm | Centralized differentially private k-means · Euclidean k-means | additive 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 protocol | Local differentially private k-means · Euclidean k-means | multiplicative error: O(k) -> constant | Helped |
| Use the proposed protocol instead of the prior local k-means protocol | Local differentially private k-means · Euclidean k-means | interaction rounds: O(k log n) -> O(1) | Helped |
| Iteratively apply Private-Centers to remaining points and remove points closest to discovered centers | Private-k-Means · Euclidean k-means, centralized | additive error: poly(n) -> poly(log(n), log(1/β), log(1/δ), d, 1/ε, k) | Helped |
Closest papers by meaning
- Differentially Private k-Means via Exponential Mechanism and Max Cover (AAAI 2021 · similarity 0.93)
- Locally Private k-Means Clustering with Constant Multiplicative Approximation and Near-Optimal Additive Error (AAAI 2022 · similarity 0.93)
- Locally Private k-Means in One Round (ICML 2021 · similarity 0.90)
- Differentially Private Clustering via Maximum Coverage (AAAI 2021 · similarity 0.90)
- Making Old Things New: A Unified Algorithm for Differentially Private Clustering (ICML 2024 · similarity 0.86)
- Differential Privacy in Scalable General Kernel Learning via $K$-means Nystr{\"o}m Random Features (NeurIPS 2024 · similarity 0.85)
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