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Fairness Overfitting in Machine Learning: An Information-Theoretic Perspective
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Proposes an information-theoretic framework (MI, CMI, f-CMI, e-CMI, ΔL-CMI bounds) for fairness generalization error of demographic parity and equalized odds, using a variance-based Efron–Stein bounding technique instead of sub-Gaussian assumptions.
Problem
Fairness properties achieved during training (DP, EO) may not generalize to unseen data; existing fairness generalization bounds are either restricted to specific algorithms/losses or are KL-based and not computable for deep networks.
Approach
Replace sub-Gaussian/boundedness arguments with an Efron–Stein variance bound for group-dependent fairness losses, yielding MI and CMI-based fairness generalization bounds whose sensitivity term depends on group sizes (shifted harmonic mean), plus a batch-balancing strategy motivated by the bound.
Key results
- Batch balancing reduces test DP on COMPAS by roughly an order of magnitude for some methods (e.g., DiffDP at 2500 samples on gender drops from 0.026 to 0.003).
- The DP CMI bound tracks observed fairness generalization error across ERM and fairness regularizers on COMPAS, showing strong linear correlation in scatter plots.
- Each experimental data point corresponds to 1050 training runs.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| apply batch balancing (ablation) | DiffDP on COMPAS · COMPAS gender, n=250 | DP: 0.056 -> 0.042 | Helped |
| apply batch balancing (ablation) | HSIC on COMPAS · COMPAS gender, n=250 | DP: 0.101 -> 0.059 | Helped |
| apply batch balancing (ablation) | PRremover on COMPAS · COMPAS gender, n=250 | DP: 0.128 -> 0.106 | Helped |
| apply batch balancing (ablation) | DiffDP on COMPAS · COMPAS gender, n=2500 | DP: 0.026 -> 0.003 | Helped |
| apply batch balancing (ablation) | HSIC on COMPAS · COMPAS gender, n=2500 | DP: 0.098 -> 0.008 | Helped |
| apply batch balancing (ablation) | PRremover on COMPAS · COMPAS gender, n=2500 | DP: 0.136 -> 0.126 | Helped |
| apply batch balancing (ablation) | DiffDP on COMPAS · COMPAS race, n=250 | DP: 0.053 -> 0.045 | Helped |
| apply batch balancing (ablation) | HSIC on COMPAS · COMPAS race, n=250 | DP: 0.088 -> 0.069 | Helped |
| apply batch balancing (ablation) | PRremover on COMPAS · COMPAS race, n=250 | DP: 0.159 -> 0.144 | Helped |
| apply batch balancing (ablation) | DiffDP on COMPAS · COMPAS race, n=2500 | DP: 0.017 -> 0.005 | Helped |
| apply batch balancing (ablation) | HSIC on COMPAS · COMPAS race, n=2500 | DP: 0.055 -> 0.016 | Helped |
| apply batch balancing (ablation) | PRremover on COMPAS · COMPAS race, n=2500 | DP: 0.151 -> 0.142 | Helped |
Surprising findings
- Some fairness regularizers (e.g., in certain cases) roughly double the fairness generalization error compared to ERM.
Limitations
- Analysis restricted to binary sensitive attributes and binary labels in main results; multiclass extension is only sketched.
- Bounds can be vacuous and the MI-based version is hard to compute for high-dimensional weights, motivating CMI variants.
- Experiments are limited to two tabular datasets (COMPAS and Adult).
Experimental setup
Datasets: COMPAS Adult
Benchmarks: COMPAS Adult
Metrics: demographic parity error equalized odds error fairness generalization error CMI bound tightness
Baselines: ERM HSIC DiffDP PRemover DiffOdd DiffEopp
Builds on: conditional mutual information bounds f-CMI bound loss-difference CMI (ΔL CMI) Efron-Stein inequality Donsker-Varadhan variational representation
Closest papers by meaning
- Fairness via Independence: A General Regularization Framework for Machine Learning (ICLR 2026 · similarity 0.90)
- Understanding Fairness and Prediction Error through Subspace Decomposition and Influence Analysis (NeurIPS 2025 · similarity 0.88)
- fairret: a Framework for Differentiable Fairness Regularization Terms (ICLR 2024 · similarity 0.87)
- Geometry of Relaxed Fair Regression: A Unified Framework for Aware and Unaware Settings (NeurIPS 2026 · similarity 0.87)
- Reconciling Predictive and Statistical Parity: A Causal Approach (AAAI 2024 · similarity 0.87)
- Causal Fairness under Unobserved Confounding: A Neural Sensitivity Framework (ICLR 2024 · similarity 0.87)
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