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Is There a Trade-Off Between Fairness and Accuracy? A Perspective Using Mismatched Hypothesis Testing

ICML 2020 · Learning theory and algorithms › Fairness · approach: Fairness-constrained classification · 48 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Enforce equal opportunity on the observed data by adjusting the unprivileged group's thresholdLikelihood ratio classifier · Numerical example, Z=0 observed dataChernoff exponent of overall error: 9/8 -> 1/2Hurt
Evaluate the fair detector against ideal distributions instead of the observed distributionsFair likelihood ratio classifier · Numerical example, Z=0 ideal distributionsChernoff exponent of overall error: 1/2 -> 2Helped
Collect an additional feature informative about the label given XUnprivileged-group classifier · Numerical example, Z=0Chernoff information: 9/8 -> 5/4Helped
Collect an additional feature before enforcing equal opportunityFair likelihood ratio classifier · Numerical example, Z=0Chernoff exponent of overall error: 0.5 -> 0.68Helped
Use a fairness constraint when groups have unequal observed separabilityBayes optimal group classifiers · Observed distributionsEqual-opportunity fairnessHurt
Collect additional features with I(X';Y|X,Z=0)>0Unprivileged-group classifier · General active data collection settingChernoff informationHelped

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