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Image Credit: Arxiv

Logarithmic Regret for Nonlinear Control

  • Researchers have addressed the problem of learning to control an unknown nonlinear dynamical system through sequential interactions.
  • They focus on achieving fast sequential learning in continuous control problems where the system dynamics depend smoothly on unknown parameters.
  • The study demonstrates that fast sequential learning is attainable if the optimal control policy is persistently exciting.
  • Additionally, they derive a regret bound which grows with the square root of the number of interactions for non-persistently exciting optimal policies.

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