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S. Villa

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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 · 0 citations

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