We propose and analyze a new dynamical system with closed-loop control law in Hilbert space [Formula: see text], aiming to shed light on the acceleration phenomenon for monotone inclusion problems, which unifies broad class of optimization, saddle point, variational inequality (VI) problems under single framework. Given an operator text] that is maximal monotone, we governed by where feedback t...

Closed-loop control relies on sensory feedback that is usually assumed to be free . But if sensing incurs a cost, it may be costeffective to take sequences of actions in open-loop mode. We describe a reinforcement learning algorithm that learns to combine open-loop and closed-loop control when sensing incurs a cost. Although we assume reliable sensors, use of open-loop control means that action...