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Optimal Best-Arm Identification Methods for Tail-Risk Measures

NeurIPS 2021 · Bandits and online learning › Multi-armed bandits · approach: Best-arm identification in linear bandits · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use empirical-likelihood KL-projection confidence intervals instead of truncation-based empirical-estimator intervalsCVaR confidence intervals for heavy-tailed distributions · Distributions in the moment-bounded class Lconfidence-interval widthHelped
Update oracle sampling weights only at geometrically spaced timesProposed CVaR best-arm identification algorithm · General arms with bounded raw (1+epsilon)-momentcomputational costHelped
Update oracle sampling weights only at geometrically spaced timesProposed CVaR best-arm identification algorithm · General arms with bounded raw (1+epsilon)-momentsample complexityHurt
Use the proposed plug-in algorithm with empirical distributions and optimal allocation weightsCVaR best-arm identification · Three-arm Fisher-Tippett/Pareto mixturesample complexity relative to lower boundHelped
Increase the number of armsProposed tail-risk best-arm identification algorithm · Additional experimentsaverage stopping timeHurt
Change the moment-bound parameter BProposed tail-risk best-arm identification algorithm · Additional experimentssample complexityMixed

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