Uniquely identifying an ODE from trajectory data depends on the trajectory filling enough of the state space: chaos on a high-dimensional attractor yields analytic discoverability, while first integrals preclude it.
Nature Machine Intelligence, 7 0 (1): 0 1--1, 2025
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When is a System Discoverable from Data? Discovery Requires Chaos
Uniquely identifying an ODE from trajectory data depends on the trajectory filling enough of the state space: chaos on a high-dimensional attractor yields analytic discoverability, while first integrals preclude it.