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Kernelized Reinforcement Learning with Order Optimal Regret Bounds

NeurIPS 2023 · Bandits and online learning › RL theory and MDPs · approach: Linear function approximation in RL · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Partition the state-action domain and fit kernel ridge regression using observations only from the same partition elementπ-KRVI for RKHS episodic RL · RKHS episodic RL with polynomial eigendecayregret: \mathcal{O}\left(H^2T^{\frac{d+\alpha\mathbin{/}2}{d+\alpha}}\log(T)\sqrt{\log\pa{\frac{H}{\delta}} } \right)Helped
Use domain-partitioned kernel ridge regression with π-KRVI for Matérn kernelsπ-KRVI · Kernelized bandits special case with Matérn kernelsregret: \mathcal{O}\left( H^2T^{\frac{\nu+d}{2\nu+d}} \log(T)\sqrt{\log\pa{\frac{H}{\delta}}} \right)Helped

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