Equal Opportunity in Online Classification with Partial Feedback
summary
Online classification with one-sided feedback (lend/deny), cast to contextual bandits by adding a constant loss for denied cases so the reduction is regret-preserving. Main result: an oracle-efficient algorithm (uses Mini-MONSTER plus a fair cost-sensitive classification oracle) guarantees per-round false-positive gap ≤ gamma + T^-1/4 and regret O(√(T log|H|)) to the best gamma-fair policy; optimal gamma-fair policy needs support ≤2. Matching lower bound shows the fairness–regret tradeoff is tight. Open problems: simultaneous FPR/FNR constraints and other fairness notions.
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chapters (7)
- 0:00Problem overview
- 4:56Formalizing the setting
- 7:29Regret in one-sided feedback
- 13:12Defining fairness
- 17:41Fairness and regret algorithm
- 25:55Lower bounds and analysis
- 31:18Open problems and discussion
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