Diagnosing Faults in Reinforcement Learning Simulators and World Models with Canonical Polynomial Invariants
Leveraging Groebner bases to mathematically verify physical consistency in learned world models.
A large literature builds physical structure into learned dynamics on the premise that models respecting the underlying physics predict better. We test that premise using exact polynomial invariants recovered from trajectories and canonicalised as reduced Gr\"obner bases over $\m...
ArXiv CS.LG
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This research provides a rigorous mathematical framework to verify that world models and reinforcement learning simulators adhere to fundamental physical laws. By using canonical polynomial invariants, developers can finally audit opaque model behaviors to ensure they represent grounded reality rather than statistical artifacts.

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