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Improving the Knowledge Gradient Algorithm

NeurIPS 2023 · 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
Replace KG's reward based on the selected arm's mean with a best-arm-correctness rewardKG for best arm identification · Examples 1–3, Dose-finding, Drug Selection, Caption 853probability of false selection: Example 1: 0.29, 0.14 -> 0.21, 0.03; Example 2: 0.32, 0.13 -> 0.23, 0.03; Example 3: 0.14, 0.03 -> 0.09, 0.01Helped
Use one-step improvement in estimated correct-set probability for ε-good arm identificationε-good arm identification · Examples 1–3, Dose-finding, Drug Selection, Caption 853probability of false selection: Example 1: 0.29, 0.07 -> 0.17, 0.03; Example 2: 0.35, 0.11 -> 0.29, 0.00; Caption 853: 0.21, 0.10 -> 0.10, 0.02Helped
Use one-step improvement in estimated correct-set probability for feasible-arm identificationFeasible arm identification · Examples 1–3, Dose-finding, Drug Selection, Caption 853probability of false selection: Example 1: 0.27, 0.16 -> 0.23, 0.02; Example 2: 0.33, 0.26 -> 0.24, 0.01; Dose-finding: 0.20, 0.17 -> 0.14, 0.01Helped
Set TTEI's probability of sampling the best arm to the optimal value β*TTEI · Best arm identificationposterior convergence rateHelped
Use equal allocation rather than a policy targeted at identifying the desired armsBest, ε-good, and feasible arm identification · Synthetic and real examplesprobability of false selectionHurt

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