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Improved Sample Complexity for Reward-free Reinforcement Learning under Low-rank MDPs

ICLR 2023 · Reinforcement learning › MDPs and planning · approach: Function approximation in RL theory · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use RAFFLE's model-based reward-free explorationReward-free RL under low-rank MDPs · ε-optimal policysample complexity: \tilde{O}(\frac{H^{22}K^9d^7}{\epsilon^{10}}) -> \tilde{O}(\frac{H^3d^2K(d^2+K)}{\epsilon^2})Helped
Use RAFFLE for system identificationReward-free low-rank MDPs · ε-accurate system identificationsample complexity: \tilde{O}(\frac{H^{22}K^9d^7}{\epsilon^{10}}) -> \tilde{O}(\frac{H^3d^2K(d^2+K)}{\epsilon^2})Helped
Use RAFFLE rather than the linear-MDP reward-known boundReward-known RL under low-rank MDPs · Low-rank MDPssample complexity dependence on H: \Theta(H^2)Helped
Add a trajectory-wise exploration-driven reward based on feature uncertaintyRAFFLE · Reward-free low-rank MDPssample complexityHelped
Truncate the estimated value functionRAFFLE · Reward-free low-rank MDPssample complexity dependence on H: H^2Helped
Terminate exploration when the estimated uncertainty value is below a thresholdRAFFLE · Reward-free low-rank MDPssample complexityHelped
Collect only one sample trajectory per exploration policy at each episodeRAFFLE · Reward-free low-rank MDPssample complexityHelped
Learn the representation by regression on targets computed from RAFFLE's estimated model, without further environment interactionRepLearn · Near-accurate representation learningrepresentation divergence: O(\frac{\epsilon d C_\mathrm{min}}{C_D}+\frac{d}{C_D}\sqrt{\frac{\log{\frac{2}{\delta}}}{TN_f}})Helped

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