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From PAC to Instance-Optimal Sample Complexity in the Plackett-Luce Model

ICML 2020 · Bandits and online learning › Multi-armed bandits · approach: Fixed-confidence versus fixed-budget identification · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use PAC-Wrapper instead of a worst-case sample-complexity methodPlackett-Luce best-item identification with winner feedback · Plackett-Luce best-item identificationsample complexityHelped
Use Top-m Ranking feedback instead of winner-only feedbackPAC-Wrapper · Plackett-Luce best-item identificationsample complexity: 1/m factorHelped
Use adaptive batch sampling with Score-Estimate rather than fixed-duration batch samplingε,δ-PAC best-item subroutine · Plackett-Luce ε-best-item identificationsample complexity: O\bigg(\frac{\thetg}{m\epsilon^2} \ln \frac{2n}{\delta}\bigg) vs. O\bigg(\frac{k}{m\epsilon^2} \ln \frac{2n}{\delta}\bigHelped
Increase the length of top-ranked feedbackPAC-Wrapper · Plackett-Luce best-item identificationsample complexity: 1/mHelped
Decrease ε below the smallest item gapPAC-Wrapper · Plackett-Luce ε-best-item identificationsample complexityNo clear effect
Increase the fixed query budgetUniform-Allocation · Plackett-Luce fixed-budget best-item identificationsuccess probabilityHelped

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