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Fairness-Aware Meta-Learning via Nash Bargaining

NeurIPS 2024 · Learning theory and algorithms › Fairness · approach: Post-processing and transport for fairness · 1 citations (OpenAlex)

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Proposes a two-stage fairness-aware meta-learning method that first uses a Nash Bargaining Solution over group hypergradients to resolve hypergradient conflicts and reach the Pareto front, then optimizes a specific fairness objective.

Problem

Naive one-stage meta-learning for group fairness (LtR, FORML, Meta-gDRO) produces hypergradients that conflict with subgroup update directions, causing unstable convergence and compromised performance and fairness.

Approach

Frame hypergradient aggregation as a cooperative bargaining game among groups, derive the Nash Bargaining Solution for gradient aggregation without linear independence assumptions (G^T G alpha = 1/alpha), and use it in an early stage before switching to the fairness objective.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add two-stage Nash bargaining before LtR fairness optimizationLtR meta-learning · Adult Income (sex)Overall AUC: 0.830 -> 0.830 (+.000)No clear effect
Add two-stage Nash bargaining before LtR fairness optimizationLtR meta-learning · Adult Income (race)Overall AUC: 0.803 -> 0.805 (+.002)Helped
Add two-stage Nash bargaining before FORML fairness optimizationFORML meta-learning · Bank Telemarketing (age)Max-gAUCD: 0.039 -> 0.029 (-.010)Helped
Add two-stage Nash bargaining before FORML fairness optimizationFORML meta-learning · Credit Default (sex)Overall AUC: 0.554 -> 0.611 (+.057)Helped
Add two-stage Nash bargaining before Meta-gDRO fairness optimizationMeta-gDRO meta-learning · Communities and Crime (blackgt6pct)Worst-gAUC: 0.629 -> 0.629 (+.000)No clear effect
Add two-stage Nash bargaining before FORML fairness optimizationFORML meta-learning · Titanic Survival (sex)Max-gAUCD: 0.033 -> 0.011 (-.022)Helped
Add two-stage Nash bargaining before Meta-gDRO fairness optimizationMeta-gDRO meta-learning · Student Performance (sex)Worst-gAUC: 0.894 -> 0.900 (+.006)Helped
Use two-stage Nash bargaining before FORML fairness optimizationFORML meta-learning · Bank Telemarketing (age)Overall AUC: 0.706 -> 0.779 (+.073)Helped

Surprising findings

Limitations

Experimental setup

Datasets: Adult Income Credit Default Bank Telemarketing Communities and Crime Titanic Survival Student Performance

Benchmarks: Adult Income Credit Default Bank Telemarketing Communities and Crime Titanic Survival Student Performance

Metrics: Overall AUC Max-gAUCD Worst-gAUC

Baselines: Baseline (no meta-learning) DRO LtR FORML Meta-gDRO

Builds on: learning to reweight Meta-gDRO FORML nash bargaining solution for multi-task learning

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