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Cross-Validated Off-Policy Evaluation

AAAI 2025 · Reinforcement learning › Policy gradient and actor-critic · approach: Importance-weighted OPE estimators · 2 citations (OpenAlex)

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Proposes off-policy cross-validation (OCV), which uses repeated train/validation splits of a single logged dataset with an unbiased validator (IPS or DR) to select among OPE estimators and tune their hyper-parameters.

Problem

Estimator selection and hyper-parameter tuning in off-policy evaluation, where theory gives limited guidance and the true policy value is unknown, so standard cross-validation is assumed infeasible.

Approach

Use an unbiased off-policy estimator (IPS or DR) on held-out validation splits as a validator, measure squared loss between evaluated estimators and the validator across repeated random splits, choose the estimator with lowest one-standard-error upper bound, and set the train/validation ratio from estimated variances.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use cross-validated estimator selection instead of Slope or PAS-IFOPE estimator selection among IPS, DM, and DR · Nine UCI datasets, target temperature β₁ = 10MSEHelped
Use OCV-DR instead of the selection baselinesOPE estimator selection among IPS, DM, and DR · Two datasets, target temperature β₁ = 10MSEHelped
Use cross-validated estimator selection instead of Slope or PAS-IFOPE estimator selection among IPS, DM, and DR · Nine UCI datasets, target temperature β₁ = -10MSEHelped
Use OCV for hyper-parameter tuningSeven OPE estimators · 90 conditions across nine UCI datasetsMSEHelped
Use OCV-IPS or OCV-DR for joint estimator selection and hyper-parameter tuningJoint estimator and hyper-parameter selection · EverythingMSE: an order of magnitude lower MSEHelped
Use OCV instead of PAS-IFPolicy evaluation with cross-validation · Single policy evaluationtime: 100 times less computationally costlyHelped
Add the one-standard-error rule to standard 10-fold OCV-DR with a 90/10 split (ablation)OCV-DR estimator selection · Average across all datasetsMSEHelped
Use the theory-driven adaptive training/validation split ratio instead of a 90/10 split (ablation)OCV-DR estimator selection · Average across all datasetsMSEHelped
Combine the theory-driven split ratio with the one-standard-error rule (ablation)OCV-DR estimator selection · Average across all datasetsMSENo clear effect
Increase the number of training/validation splits from the combined method's setting to K=100 (ablation)OCV-DR estimator selection · Average across all datasetsMSE: additional marginal improvementsHelped
Increase the number of repeated training/validation splits (ablation)OCV-DR · VehicleMSEHelped
Use DM as the cross-validation validator instead of an unbiased validator (ablation)OCV estimator selection · Estimator selection among IPS, DM, and DRMSEHurt

Surprising findings

Limitations

Experimental setup

Datasets: ecoli glass letter optdigits page-blocks pendigits satimage vehicle yeast

Benchmarks: nine OpenML classification datasets converted to contextual bandits

Metrics: mean squared error regret

Baselines: SLOPE PAS-IF theory-suggested hyper-parameter values OCV with DM validator

Builds on: inverse propensity scoring doubly robust estimator Monte Carlo cross-validation one standard error rule SLOPE PAS-IF

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