arxivmath.NAcs.LGmath.DS2026-07-17
A zero-one law for one-shot system identification
Nicolas Boullé, Diana Halikias, Samuel E. Otto, Alex Townsend
Can a model be identified from one experiment? We study analytic systems that are linearly parameterized by a combination of prescribed dictionary terms, such as partial differential operators and dynamical systems. For a single input-response pair, recovery is possible exactly w…