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Is Pessimism Provably Efficient for Offline RL?

ICML 2021 · Reinforcement learning › Offline RL · approach: Pessimism and uncertainty in offline RL · 23 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add a pointwise uncertainty penalty to the estimated Bellman updatePEVI for general MDPs · General episodic MDPsuboptimality: 2\sum_{h=1}^H\EE_{\pi^*}[\Gamma_h(s_h,a_h)\mid s_1=x]Helped
Add pessimism using a valid uncertainty quantifierPEVI · General MDPspurious-correlation contribution to suboptimalityHelped
Use the linear-MDP confidence penalty with ridge regressionPEVI · Linear MDPsuboptimality: 2 \beta \sum_{h=1}^H\EE_{\pi^*}[ (\phi(s_h,a_h)^\top \Lambda_h^{-1}\phi(s_h,a_h))^{1/2} \mid s_1=x]Helped
Ensure the dataset sufficiently covers the optimal-policy trajectoryPEVI · Linear MDPsuboptimality: c' \cdot d^{3/2} H^2 K^{-1/2} \sqrt{\zeta}Helped
Use the rank-r condition on optimal-policy feature covariancePEVI · Linear MDPsuboptimality: c''\cdot d H^2 K^{-1/2}\sqrt{\zeta}Helped
Add reverse-ordered data splitting across value-iteration steps (ablation)PEVI for linear function approximation · Linear MDPsuboptimality upper-bound scaling parameter: \tilde \cO(dH) -> \tilde \cO(\sqrt{d} H)Helped
Split the dataset, reducing the sample available per step (ablation)PEVI · Well-explored linear MDPsample efficiency: \sqrt{H}Mixed
Use a data-splitting kernel PEVI variant (ablation)PEVI · RKHS with finite, exponential, or polynomial eigenvalue decaysuboptimalityHelped
Avoid requiring uniform dataset coverage or policy affinity constraintsPEVI · Linear MDPassumptions required for the suboptimality guaranteeHelped
Focus the uncertainty bound on the optimal-policy trajectory rather than unrelated trajectoriesPEVI · Linear MDPsuboptimality dependence on dataset coverageHelped

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