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Sample-Efficient Reinforcement Learning with loglog(T) Switching Cost

ICML 2022 · Bandits and online learning › RL theory and MDPs · approach: Regret bounds with function approximation · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use staged exploration with adaptive policy elimination and an absorbing-MDP value estimatorAPEVE · Tabular non-stationary episodic RLregret: \widetilde{O}(\sqrt{H^{4}S^{2}AT}) regretHelped
Schedule policy changes in advance across progressively longer stagesAPEVE · Tabular non-stationary episodic RLglobal switching cost: O(HSA\log\log T), versus existing O^*(\log T) switching costHelped
Use reward-independent crude and fine exploration, then optimize for the supplied rewardLARFE · Reward-free explorationsample complexity (episodes): \widetilde{O}(\frac{H^{5}S^{2}A}{\epsilon^{2}})Helped
Use LARFE as the exploration phase before following its reward-optimal policyExplore-First with LARFE · Tabular non-stationary episodic RLregret: \widetilde{O}(T^{2/3}H^{4/3}S^{2/3}A^{1/3})Helped
Limit policy switching for algorithms with near-optimal regretRL algorithms with \widetilde{O}^*(\sqrt{T}) regret · Tabular non-stationary episodic RLglobal switching cost: \Omega(HSA\log\log T) lower bound; APEVE uses O(HSA\log\log T)Mixed
Require sub-linear regretRL algorithms · Tabular non-stationary episodic RLglobal switching cost: \Omega(HSA)Mixed

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