Research map / Learning theory and algorithms / Clustering
Guarantees for Spectral Clustering with Fairness Constraints
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add proportional-representation constraints to spectral clustering | Normalized and unnormalized spectral clustering · FriendshipNet and FacebookNet | Balance: 10% / 15% / 34% / 10% | Helped |
| Add proportional-representation constraints to spectral clustering | Normalized and unnormalized spectral clustering · DrugNet | Balance: 5% / 18% / 86% / 167% | Helped |
| Add proportional-representation constraints to spectral clustering | Normalized and unnormalized spectral clustering · FriendshipNet and FacebookNet | RatioCut or NCut | No clear effect |
| Add proportional-representation constraints to spectral clustering | Normalized and unnormalized spectral clustering · DrugNet (three ethnic groups) | RatioCut or NCut | Hurt |
| Add proportional-representation constraints | Normalized and unnormalized spectral clustering · Synthetic SBM with balanced ground-truth clusters and groups | Error | Helped |
| Use normalized rather than unnormalized spectral clustering with fairness constraints | Fair spectral clustering · Synthetic SBM with balanced ground-truth clusters and groups | Error | Helped |
| Use normalized rather than unnormalized spectral clustering with fairness constraints | Fair spectral clustering · Synthetic SBM with cluster sizes differing or assumptions strongly violated | Error | Helped |
| Increase the number of clusters k | Fair normalized and unnormalized spectral clustering · Synthetic SBM | Error | Hurt |
| Perturb group assignments | Fair normalized and unnormalized spectral clustering · Synthetic SBM, perturbation parameter p | Error: p=0.15; p≥0.7 | Mixed |
Closest papers by meaning
- Accelerating Spectral Clustering under Fairness Constraints (ICML 2025 · similarity 0.93)
- A Differentially Private Clustering Algorithm for Well-Clustered Graphs (ICLR 2024 · similarity 0.89)
- On the Robustness of Spectral Algorithms for Semirandom Stochastic Block Models (NeurIPS 2024 · similarity 0.88)
- Optimal Graph Clustering without Edge Density Signals (NeurIPS 2025 · similarity 0.88)
- Fair Clustering via Alignment (ICML 2025 · similarity 0.87)
- Parameterized Approximation Schemes for Fair-Range Clustering (NeurIPS 2024 · similarity 0.87)
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