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Near-Optimal Offline Reinforcement Learning via Double Variance Reduction

NeurIPS 2021 · Reinforcement learning › MDPs and planning · approach: Offline RL sample complexity · 18 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Aggregate state-action observations across time steps by using stationary-transition estimators (ablation)OPDVR · Finite-horizon stationary MDPsample complexity (episodes): \widetilde{O}(H^3/d_m\epsilon^2) -> \widetilde{O}\left(\frac{H^2}{d_m\epsilon^2}\right)Helped
Use a two-stage doubling procedure rather than a single variance-reduction procedure (ablation)OPDVR · Finite-horizon non-stationary MDPsample complexity (episodes): \tilde{O}(H^4/d_m\epsilon^2) -> \tilde{O}(H^3/d_m\epsilon^2)Helped
Use a single variance-reduction procedure when the initial optimality gap exceeds √H (ablation)OPDVR · Finite-horizon non-stationary MDPsample complexity (episodes): \tilde{O}(H^3/d_m\epsilon^2) -> \tilde{O}(H^4/d_m\epsilon^2)Hurt
Use non-stationary estimators rather than aggregating observations across time steps (ablation)OPDVR · Finite-horizon stationary MDPsample complexity (episodes): \widetilde{O}\left(\frac{H^2}{d_m\epsilon^2}\right) -> \widetilde{O}(H^3/d_m\epsilon^2)Hurt
Apply OPDVR under weak coverage in place of the prior OPEMA guaranteeOffline policy optimization · Finite-horizon non-stationary MDPsample complexity (episodes): \widetilde{O}(H^3/d_m \epsilon^2) -> \widetilde{O}(H^3/d_m\epsilon^2)No clear effect

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