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A General Framework for Sample-Efficient Function Approximation in Reinforcement Learning

ICLR 2023 · Reinforcement learning › MDPs and planning · approach: Function approximation in RL theory · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use OPERA under the ABC framework with low FE dimensionLow Witness rank MDPs · Low Witness ranksample complexity: by a factor of dHHelped
Use OPERA with the ABC frameworkKNR · KNRregret: OPERA: \tilde{\cO}\left(H^2 \sqrt{d_\phi T\beta}/\sigma\right); prior attempt: \cO(T^{3/4})Helped
Use OPERA rather than BiLin-UCBLinear mixture MDPs · Linear Mixture MDPssample complexity: d^3 H^4/\epsilon^2 -> d_{\text{FE}}^2 H^2/\epsilon^2; dH^2 worseHelped
Use OPERA rather than BiLin-UCBLinear Q*/V* · Linear Q*/V*sample complexity: \tilde{\cO}(\frac{d^3 H^4}{\epsilon^2}) -> \tilde{\cO}(\frac{d^2 H^2}{\epsilon^2})Helped
Use OPERA rather than BiLin-UCBLow occupancy complexity models · Low occupancy complexitysample complexity: d^3 H^4/\epsilon^2 -> d^2 H^2/\epsilon^2Helped
Use OPERA with the ABC framework for low eluder dimension modelsLow eluder dimension models · Low eluder dimensionregret dependence on eluder dimension: \tilde{\cO}(\sqrt{d}) -> \tilde{\cO}(d)Helped
Use OPERA rather than the cited prior approachLinear MDPs · Linear MDPsregretNo clear effect
Use OPERA rather than the cited prior approachLow Bellman rank models · Low Bellman ranksample complexity dependence on rank: linear in d vs. quadraticHelped

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