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Computationally Efficient Horizon-Free Reinforcement Learning for Linear Mixture MDPs

NeurIPS 2022 · Bandits and online learning › RL theory and MDPs · approach: Non-stationary and structured MDPs · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use variance- and uncertainty-aware weights instead of variance-only weightsAlgorithm bandit versus WeightedOFUL · Heterogeneous linear banditsregret bound: \tilde O(d\sqrt{\sum_{k=1}^K\sigma_k^2} + \sqrt{dK} + d) -> \tilde O(d\sqrt{\sum_{k=1}^K\sigma_k^2} + d)Helped
Use Algorithm bandit's estimator rather than VOFUL2Heterogeneous linear bandits · Heterogeneous linear banditsregret bound: \tilde O(d^{1.5}\sqrt{\sum_{k=1}^K\sigma_k^2} + d^2) -> \tilde O(d\sqrt{\sum_{k=1}^K\sigma_k^2} + d)Helped
Use Algorithm MDP rather than VARLinLinear mixture MDPs · Linear mixture MDPsregret bound: \tilde O(d^{4.5}\sqrt{K}+d^9) -> \tilde O(d\sqrt{K} + d^2)Helped
Make the horizon-free VTR algorithm computationally efficientAlgorithm MDP versus VARLin2 · Linear mixture MDPsregret bound: \tilde O(d\sqrt{K}+d^2) -> \tilde O(d\sqrt{K} + d^2)No clear effect
Use high-order recursive moment regressionAlgorithm MDP · Linear mixture MDPsregret boundHelped

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