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A Bandit Approach to Sequential Experimental Design with False Discovery Control

NeurIPS 2018 · Bandits and online learning › Multi-armed bandits · approach: Bandit formulations for ML problems · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace uniform allocation with the UCB-style adaptive Algorithm 1anytime BH selection · TPR+FDR simulation, delta=0.05, all parameterizationssamples to reach TPR above 0.95: at least ~3 times fewer samplesHelped
replace successive elimination (SE) with Algorithm 1 (UCB)anytime BH selection · TPR+FDR simulation, delta=0.05, all parameterizationssamples to reach TPR above 0.95: at least ~3 times fewer samplesHelped
sparse positives regime |H1|=2 = o(n) versus denser |H1|=sqrt(n) or n/5Algorithm 1 (UCB) vs uniform and SE · TPR+FDR simulationrelative sample countHelped
run BH at level delta instead of delta/(6.4 log(36/delta))all three algorithms · TPR+FDR simulationpractical FDR/sample complexityNo clear effect

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