What Uncertainties Do We Need for Dynamical Systems?

Given this law, the evolution of a continuoustime autonomous1 dynamical system is determined by its Uncertainty has become a central topic in machine learning initial state. Or, stated differently, the evolution is given by (ML), with increasing interest in the distinction between aleatoric and epistemic uncertainty. Aleatoric uncertainty the solution to the initial value problem reflects randomness inherent in a process, whereas epistemicx (t) = f(x(t)), x(0) = x0, (1) uncertainty originates from a lack of knowledge about that process. The former is therefore irreducible, while the latterwhere x(t) X is the state at time t and x0 X the can, in principle, be reduced by gathering more information (Hullermeier and Waegeman, 2021).