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Scalable Discrete Sampling as a Multi-Armed Bandit Problem

ICML 2016 · Bandits and online learning › Multi-armed bandits · approach: Bandit formulations for ML problems · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Adding a Racing-Normal (finite-population, Gaussian-assumption) subsampled bandit test to Gibbs for discrete variable samplingAuthor coreference Gibbs sampling · Author Coreference (DBLP+Rexa)convergence speed in factor evaluations: about three times faster than exact GibbsHelped
Subsampling discrete sampling with Racing-Normal in ARCH model selection Gibbs and MHBayesian ARCH model selection · Shanghai stock index ARCH model selectioneffective sample size: over twice the effective sample sizeHelped
Replacing concentration-bound (EBS) or union-bound G with the Racing-Normal bound using doubling schedule and first mini-batch 50Synthetic discrete sampling (D=10) · Synthetic datanumber of rewards sampled to meet error toleranceHelped
Using adapted lil'UCB instead of Racing-Normal boundSynthetic discrete sampling · Synthetic data (D=100, Uniform)error vs tolerance deltaHurt
Using control variates (Taylor expansion of log-likelihood) to reduce reward variance (ablation)Racing-Normal in ARCH model selection · Shanghai stock index ARCH model selectionreward variance: reduces reward variance by 2~3 orders of magnitudeHelped
Using the pairwise variance estimate instead of marginal estimate in Racing (ablation)Synthetic discrete sampling · Synthetic dataerror and reward sample countHelped
Doubling mini-batch schedule (vs Bernstein-type schedules) for Racing-Normal (ablation)Racing-Normal robustness with LogNormal rewards · Synthetic datarobustness across reward distributionsHelped

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