A Thompson-sampling LQR algorithm that incorporates offline data from a similar unknown system achieves O~(sqrt(T/S)) Bayes regret when the systems are close.
Control of unknown linear systems with thompson sampling,
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Leveraging Offline Data from Similar Systems for Online Linear Quadratic Control
A Thompson-sampling LQR algorithm that incorporates offline data from a similar unknown system achieves O~(sqrt(T/S)) Bayes regret when the systems are close.