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Learning Strategy-Aware Linear Classifiers

NeurIPS 2020 · Bandits and online learning › Online convex optimization and games · approach: Best-of-both-worlds bandit algorithms · 29 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Grinder's adaptive polytope partitioning and in-oracleStrategic classification against δ-bounded myopically rational agents · Simulated discrete and continuous action spacesRegret or cumulative lossHelped
Use Grinder rather than EXP3Strategic classification against δ-bounded myopically rational agents · Simulated discrete action spaceRegretHelped
Use an accurate in-oracle rather than a regression-based approximate oracle (ablation)Grinder · Simulated discrete action spaceRegretHelped
Increase the agents' manipulation radius δGrinder · Simulated strategic classificationRegret or cumulative lossHurt
Use Grinder rather than BGDStrategic classification against δ-bounded myopically rational agents · SimulationRegret or cumulative lossHelped
Use a convex surrogate such as hinge loss despite strategic best responsesLinear classifiers against δ-bounded myopically rational agents · Hinge-loss counterexampleHinge loss: 0.95 > 0.5·0.99 + 0.5·0.875Mixed
Use a sequence with sublinear Stackelberg regretLearner in the constructed two-action instance · Strategic classificationExternal regret: 0.15THurt
Use a sequence with sublinear external regretLearner in the constructed two-action instance · Strategic classificationStackelberg regret: 0.05THurt
Allow an ε-approximate in-oracle with ε ≤ 1/√T rather than requiring an accurate oracleGrinder · Strategic classification, Stackelberg regretRegret guarantee: \varepsilon \leq 1/\sqrt{T}No clear effect

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