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Poster
in
Workshop: 3rd Offline Reinforcement Learning Workshop: Offline RL as a "Launchpad"

Near-Optimal Deployment Efficiency in Reward-Free Reinforcement Learning with Linear Function Approximation

Dan Qiao · Yu-Xiang Wang


Abstract: We study the problem of deployment efficient reinforcement learning (RL) with linear function approximation under the \emph{reward-free} exploration setting. This is a well-motivated problem because deploying new policies is costly in real-life RL applications. Under the linear MDP setting with feature dimension d and planning horizon H, we propose a new algorithm that collects at most O~(d2H5ϵ2) trajectories within H deployments to identify ϵ-optimal policy for any (possibly data-dependent) choice of reward functions. To the best of our knowledge, our approach is the first to achieve optimal deployment complexity and optimal d dependence in sample complexity at the same time, even if the reward is known ahead of time. Our novel techniques include an exploration-preserving policy discretization and a generalized G-optimal experiment design, which could be of independent interest.

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