Jul 2026
Learning Ergodic Dynamical Systems from a Finite Trajectory
This work first focuses on estimating the optimal one-step prediction function by nonlinear least squares, and derive high-probability guarantees measured with respect to the invariant measure of the process, and extends the framework to higher-order systems and finite-state spaces.
Oleksii Kachaiev, S. Villa, Lorenzo Rosasco
· arXiv.org · 0 citations