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Fairness Overfitting in Machine Learning: An Information-Theoretic Perspective

ICML 2025 · Learning theory and algorithms › Kernels and regression theory · approach: Statistical perspectives on generalization · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
apply batch balancing (ablation)DiffDP on COMPAS · COMPAS gender, n=250DP: 0.056 -> 0.042Helped
apply batch balancing (ablation)HSIC on COMPAS · COMPAS gender, n=250DP: 0.101 -> 0.059Helped
apply batch balancing (ablation)PRremover on COMPAS · COMPAS gender, n=250DP: 0.128 -> 0.106Helped
apply batch balancing (ablation)DiffDP on COMPAS · COMPAS gender, n=2500DP: 0.026 -> 0.003Helped
apply batch balancing (ablation)HSIC on COMPAS · COMPAS gender, n=2500DP: 0.098 -> 0.008Helped
apply batch balancing (ablation)PRremover on COMPAS · COMPAS gender, n=2500DP: 0.136 -> 0.126Helped
apply batch balancing (ablation)DiffDP on COMPAS · COMPAS race, n=250DP: 0.053 -> 0.045Helped
apply batch balancing (ablation)HSIC on COMPAS · COMPAS race, n=250DP: 0.088 -> 0.069Helped
apply batch balancing (ablation)PRremover on COMPAS · COMPAS race, n=250DP: 0.159 -> 0.144Helped
apply batch balancing (ablation)DiffDP on COMPAS · COMPAS race, n=2500DP: 0.017 -> 0.005Helped
apply batch balancing (ablation)HSIC on COMPAS · COMPAS race, n=2500DP: 0.055 -> 0.016Helped
apply batch balancing (ablation)PRremover on COMPAS · COMPAS race, n=2500DP: 0.151 -> 0.142Helped

Surprising findings

Limitations

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

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