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LoGoFair: Post-Processing for Local and Global Fairness in Federated Learning
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Proposes LoGoFair, a model-agnostic federated post-processing framework that calibrates a pretrained FL classifier toward the Bayes-optimal classifier under joint local and global DP/EO fairness constraints.
Problem
Fairness in federated learning is usually addressed for either local (per-client) or global (pooled) group fairness, but under statistical heterogeneity they can conflict, and retraining federated models for fairness is costly and privacy-sensitive.
Approach
Derives a closed-form Bayes-optimal fair classifier under composite linear disparity constraints for both local and global fairness (a threshold on a calibrated score shifted by Lagrange multipliers), then learns those multipliers with a federated bilevel procedure using log-exp smoothing and projected gradient descent on client validation data.
Key results
- On Adult (alpha=0.5), LoGoFair_l&g reaches 0.8214 accuracy with local DP 0.0489 and global DP 0.0204, versus FedAvg 0.8381 / 0.1922 / 0.1759.
- LoGoFair_g achieves global DP 0.0183 on Adult at alpha=0.5, against 0.0767 for FedFB and 0.1479 for FCFL.
- Accuracy loss relative to FedAvg is small (roughly 1-2 points) while both local and global DP gaps drop substantially.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| apply both local and global fairness constraints rather than FedAvg | LoGoFair l&g · Adult (α=0.5) | local DP disparity: 0.1922 -> 0.0489 | Helped |
| apply both local and global fairness constraints rather than FedAvg | LoGoFair l&g · Adult (α=0.5) | global DP disparity: 0.1759 -> 0.0204 | Helped |
| apply both local and global fairness constraints rather than FedAvg | LoGoFair l&g · ENEM (α=0.5) | local DP disparity: 0.2030 -> 0.0281 | Helped |
| apply both local and global fairness constraints rather than FedAvg | LoGoFair l&g · ENEM (α=0.5) | global DP disparity: 0.1953 -> 0.0151 | Helped |
| apply both local and global fairness constraints rather than FedAvg | LoGoFair l&g · CelebA (α=0.5) | local DP disparity: 0.1308 -> 0.0312 | Helped |
| apply both local and global fairness constraints rather than FedAvg | LoGoFair l&g · CelebA (α=0.5) | global DP disparity: 0.1441 -> 0.0295 | Helped |
| use local fairness constraint only instead of both local and global constraints (ablation) | LoGoFair · Adult (α=0.5) | local DP disparity: 0.0489 -> 0.0367 | Helped |
| use local fairness constraint only instead of both local and global constraints (ablation) | LoGoFair · Adult (α=0.5) | global DP disparity: 0.0204 -> 0.0468 | Hurt |
| use global fairness constraint only instead of both local and global constraints (ablation) | LoGoFair · ENEM (α=0.5) | global DP disparity: 0.0151 -> 0.0141 | Helped |
| use global fairness constraint only instead of both local and global constraints (ablation) | LoGoFair · ENEM (α=0.5) | local DP disparity: 0.0281 -> 0.0574 | Hurt |
Surprising findings
- Local fairness does not imply global fairness and vice versa under statistical heterogeneity; methods targeting one notion degrade on the other as heterogeneity grows.
Limitations
- Relies on validation data at clients and estimated Bayes score; estimation error grows as client count increases (local fairness slightly worse on Adult and CelebA).
- Results reported for a fixed delta setting and 5 clients in main experiments; the method's trade-off depends on chosen fairness relaxation levels.
Experimental setup
Datasets: Adult ENEM CelebA
Benchmarks: Adult ENEM CelebA
Metrics: accuracy local DP global DP local EO global EO
Baselines: FedAvg FedFB FairFed FCFL
Builds on: FedAvg model calibration composite linear disparity
Closest papers by meaning
- FedFACT: A Provable Framework for Controllable Group-Fairness Calibration in Federated Learning (NeurIPS 2025 · similarity 0.93)
- Demystifying Local & Global Fairness Trade-offs in Federated Learning Using Partial Information Decomposition (ICLR 2024 · similarity 0.90)
- Multi-Dimensional Fair Federated Learning (AAAI 2024 · similarity 0.89)
- FairTrade: Achieving Pareto-Optimal Trade-Offs between Balanced Accuracy and Fairness in Federated Learning (AAAI 2024 · similarity 0.89)
- FedLF: Layer-Wise Fair Federated Learning (AAAI 2024 · similarity 0.87)
- Does Egalitarian Fairness Lead to Instability? The Fairness Bounds in Stable Federated Learning Under Altruistic Behaviors (NeurIPS 2024 · similarity 0.86)
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