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arxiv: 1902.06223 · v2 · pith:EIEBSFFOnew · submitted 2019-02-17 · 💻 cs.LG · stat.ML

Learning Linear-Quadratic Regulators Efficiently with only sqrt{T} Regret

classification 💻 cs.LG stat.ML
keywords learningregretsqrtabbasi-yadkorialgorithmcomputationally-efficientcontroldean
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We present the first computationally-efficient algorithm with $\widetilde O(\sqrt{T})$ regret for learning in Linear Quadratic Control systems with unknown dynamics. By that, we resolve an open question of Abbasi-Yadkori and Szepesv\'ari (2011) and Dean, Mania, Matni, Recht, and Tu (2018).

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