Research map / Federated learning and privacy / Differential privacy
Locally Private k-Means in One Round
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use a one-round net-tree private coreset in the local DP model | k-means · One-round local DP | approximation ratio: κ(1 + α) | Helped |
| Adapt the coreset framework to the shuffle DP model | k-means · One-round shuffle DP | additive error: \tilde{O}(k^{O_{\alpha}(1)} \cdot \sqrt{d}/ \epsilon) | Helped |
| Increase dataset size | Private k-means algorithm · Synthetic mixtures of Gaussians | normalized k-means objective | Helped |
| Increase privacy parameter ε | Private k-means algorithm · Synthetic mixtures of Gaussians | normalized k-means objective | Helped |
| Increase the number of clusters k | Private k-means algorithm · Synthetic mixtures of Gaussians | normalized k-means objective | Hurt |
| Add Gaussian or Laplace noise to each point, then run k-means++ | Naive private clustering baseline · Synthetic datasets | clustering quality | Hurt |
Closest papers by meaning
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- Differentially Private Federated $k$-Means Clustering with Server-Side Data (ICML 2025 · similarity 0.87)
- On the Price of Differential Privacy for Hierarchical Clustering (ICLR 2025 · similarity 0.87)
- A Differentially Private Clustering Algorithm for Well-Clustered Graphs (ICLR 2024 · similarity 0.86)
- Relax and Merge: A Simple Yet Effective Framework for Solving Fair $k$-Means and $k$-sparse Wasserstein Barycenter Problems (ICLR 2025 · similarity 0.85)
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