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Semiparametrically Efficient Off-Policy Evaluation in Linear Markov Decision Processes

ICML 2023 · Probabilistic and scientific modeling › Variational and generative sampling · approach: Likelihood-free and graphical model estimation

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use linear-MDP structure (efficient one-step estimator) instead of general nonparametric DRL estimatorOPE in linear MDP simulation · Simulated linear MDP (|S|=30, |A|=10, d=5, γ=0.8)MSE and bias fluctuation vs DRL and DMHelped
Cross-fitting / sample splitting in the one-step estimator (ablation)Proposed one-step estimator · Simulated linear MDP (|S|=30, |A|=10, d=5, γ=0.8)bias and MSENo clear effect
Use the estimated variance to build 95% confidence intervals with sample size growingProposed one-step estimator · Simulated linear MDP (|S|=30, |A|=10, d=5, γ=0.8)CI coverage rateHelped

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