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Learning Linear-Quadratic Regulators Efficiently with only $\sqrtT$ Regret

ICML 2019 · Bandits and online learning › Online convex optimization and games · approach: Online linear-quadratic control regret · 35 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use optimistic policies computed from a sequence of relaxed semidefinite programsLearning unknown-dynamics LQR · Unknown-dynamics LQR, T roundsregret: O(T^{2/3}) -> \widetilde{O}(\sqrt{T})Helped
Warm up using a known strongly stable policy with Gaussian action exploration before running OSLOOSLO · Unknown-dynamics LQR, T roundsregret: O \biggl( \frac{\alpha_1 n^2 \nu^{5} \vartheta \kappa_{0}^4}{\alpha_0^{5} \sigma^{8} \gamma_{0}^2} (n + k \vartheta^2 \kHelped

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