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math.ST2023
Fitting a manifold to data in the presence of large noise
Charles Fefferman, Sergei Ivanov, Matti Lassas +1
We assume that is a -dimensional -smooth submanifold of . Let be the convex hull of and be the unit ball. We assume that $ M_0 \subse…
math.OC2023
Controlling Unknown Linear Dynamics with Almost Optimal Regret
Jacob Carruth, Maximilian F. Eggl, Charles Fefferman +1
Here and in a companion paper, we consider a simple control problem in which the underlying dynamics depend on a parameter that is unknown and must be learned. In this paper, w…
math.OC2023
Optimal Agnostic Control of Unknown Linear Dynamics in a Bounded Parameter Range
Jacob Carruth, Maximilian F. Eggl, Charles Fefferman +1
Here and in a follow-on paper, we consider a simple control problem in which the underlying dynamics depend on a parameter that is unknown and must be learned. In this paper, w…