Research map / Learning theory and algorithms / Fairness
Efficient Fairness-Performance Pareto Front Computation
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Proposes MIFPO, a model-independent discrete concave-minimization formulation (solved with DCCP) that computes the optimal fairness-performance Pareto front for total-variation statistical parity via structural results on fair representations, without training fair representation models.
Problem
Computing the optimal fairness-performance Pareto front of fair representations (and fair classifiers) under total-variation fairness, which currently requires training complex non-convex fair representation models whose results may be far from the true front.
Approach
Factorization lemma maps features to Bayes posteriors in a small simplex, an invertibility theorem restricts to representations where each point has at most two parents (one per group), and a uniform approximation lemma discretizes the problem into MIFPO, a concave minimization with linear constraints that works for any concave performance measure.
Key results
- MIFPO's Pareto front is equal to or above the baseline fair representation methods (CVIB, FCRL, FNF, sIPM, Fare) at almost all operating points on Health, ACSIncome-CA and ACSIncome-US.
- Experiments use k=5 points per pair and a discretization into L bins; all experiments run in under a day on a standard desktop.
- Reported std across runs of the MIFPO method is <= 1e-5.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use MIFPO to compute the fairness-accuracy Pareto front instead of the evaluated fair representation methods | Health, ACSIncome-CA, and ACSIncome-US · Health, ACSIncome-CA, and ACSIncome-US | accuracy | Helped |
Limitations
- Restricted to binary sensitive attribute and binary target in the main development; multi-label and multi-valued attributes require larger discretizations.
- Solved with DCCP (CCP local method), so global optimality is not guaranteed in theory, though not observed in experiments.
- Fairness measured only by total variation / statistical parity.
Experimental setup
Datasets: Health ACSIncome-CA ACSIncome-US
Benchmarks: Health ACSIncome-CA ACSIncome-US
Metrics: accuracy statistical parity distance
Baselines: CVIB FCRL FNF sIPM Fare
Builds on: DCCP XGBoost isotonic regression calibration
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