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Reward-Free Model-Based Reinforcement Learning with Linear Function Approximation

NeurIPS 2021 · Reinforcement learning › MDPs and planning · approach: Offline RL sample complexity · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a Bernstein-type bonus instead of the Hoeffding bonusUCRL-RFE on Linear Mixture MDPs · Linear Mixture MDPsexploration episodes for an ε-optimal policy: \tilde \cO(H^5d^2\epsilon^{-2}) -> \tilde \cO(H^4d(H + d)\epsilon^{-2})Helped
Use the relaxed ℓ1 norm-based optimization (ablation)UCRL-RFE · Linear Mixture MDPsexploration episodes for an ε-optimal policy: \tilde \cO(H^5d^2\epsilon^{-2}) -> \tilde \cO(H^5d^3\epsilon^{-2})Hurt
Use the relaxed ℓ1 norm-based optimization (ablation)UCRL-RFE+ · Linear Mixture MDPsexploration episodes for an ε-optimal policy: \tilde \cO(H^4d(H + d)\epsilon^{-2}) -> \tilde \cO(H^4d^2(H + d)\epsilon^{-2})Hurt
Use a Bernstein-type bonusUCRL-RFE+ · Linear Mixture MDPs when H ≥ dexploration episodes for an ε-optimal policy: by a factor of dHelped

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