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High-Confidence Off-Policy (or Counterfactual) Variance Estimation

AAAI 2021 · Reinforcement learning › Policy gradient and actor-critic · approach: Importance-weighted OPE estimators · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Estimate the squared-mean term using two independent trajectory splits (double sampling)Off-policy variance estimation · Off-policy return varianceunbiasednessHelped
Use full-trajectory importance sampling for the sample variance of importance-weighted returnsNaive off-policy variance estimator · Off-policy return varianceunbiasednessHurt
Weight squared deviations by importance ratios in a plug-in variance estimatorNaive off-policy variance estimator · Off-policy return varianceunbiasednessHurt
Replace full-trajectory importance sampling with per-decision and coupled-decision importance samplingOff-policy variance estimator · Off-policy return varianceestimator varianceHelped
Use interval propagation to combine confidence bounds for the second moment and squared meanHigh-confidence off-policy variance estimation · Off-policy return varianceconfidence-interval coverageHelped
Center importance-weighted outcomes with a control variate to switch tail behaviorConcentration-based variance confidence bounds · Off-policy return varianceconfidence-interval widthHelped
Use bootstrap confidence intervals instead of concentration-inequality intervalsHigh-confidence off-policy variance estimation · Off-policy return varianceconfidence-interval widthHelped
Use bootstrap confidence intervals instead of guaranteed-coverage concentration intervalsHigh-confidence off-policy variance estimation · Off-policy return variancecoverage guarantee: O(n^{-1/2})Hurt

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