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Online Control with Adversarial Disturbances

ICML 2019 · Bandits and online learning › Online convex optimization and games · approach: Online linear-quadratic control regret · 54 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use online disturbance-action policies optimized with OGD and memoryLinear dynamical systems with bounded adversarial disturbances · Adversarial LDS with convex costsregret: O(\sqrt{T})Helped
Allow adversarially chosen convex costs instead of restricting costs to quadratic functionsOnline control algorithm · Adversarial LDSregret: O\left(G W^2 \sqrt{T} \log(T)\right)Helped
Adapt the controller online to observed disturbances rather than choosing control for worst-case future noiseOnline Control Algorithm · Linear dynamical systems with adversarial disturbancesregret: O(\sqrt{T})Helped

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