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October 20, 2025Open Access

Optimal Best-Arm Identification under Fixed Confidence with Multiple Optima

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Authors

LTLan V. Truong

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Overview

Analysis reveals a modified stopping rule for optimal arms in stochastic settings, suggesting improved identification methods.

Key Points

  • A modified stopping rule ensures instance-optimality in best-arm identification even with multiple optimal arms present.
  • The new approach closely aligns with an information-theoretic lower bound specifically accounting for multiple optimal arms.
  • This study revisits the widely used Track-and-Stop algorithm, enhancing its application in complex scenarios.
  • Understanding these optimal arms can significantly improve decision-making strategies in stochastic environments.

Cite This Study

Lan V. Truong (2025) studied this question.

synapsesocial.com/papers/68f5c338e2d8b12842645bc4https://doi.org/10.48550/arxiv.2505.15643
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