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Non-stationary Reinforcement Learning under General Function Approximation

ICML 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 SW-OPEA's confidence-set planning with a sliding window and local transition variation compensation instead of UCB-type algorithmsNon-stationary linear MDPs · Non-stationary linear MDPsdynamic regret: SW-OPEA: \widetilde{\mathcal{O}}\left(H^{\frac{3}{2}}T^{\frac{1}{2}}\widetilde{d}+HT\widetilde{d}^{\frac{3}{4}}L^{\frac{Mixed
use SW-OPEA's confidence-set planning rather than a kernel-based algorithmNon-stationary tabular MDPs · Non-stationary tabular MDPsdynamic regret: SW-OPEA: \widetilde{O}\left((SA)^{\frac{3}{4}}HTL^{\frac{1}{4}}+TL_\theta\right); kernel-based: \widetilde{O}\left(SA^{\Mixed
extend SW-OPEA to use bandit rather than full-information reward feedbackSW-OPEA · Non-stationary MDPs with bandit feedbackdynamic regret: \Delta_R(k)+H\Delta_P(k) +\mathcal{O}\left(\sqrt{w} +\frac{H^2k}{\sqrt{w}}\sqrt{d\log[KH|\mathcal{G}|/\delta]} +\frac{H^Mixed
include all episode-specific Bellman residuals in the complexity measureBellman Eluder dimension for non-stationary MDPs · Non-stationary MDPscomplexity dimension: If variations ... are relatively small compared to the universal gap, DBE dimension equals the BE dimension of the firstHelped

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