symplectic-integration

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#symplectic-integration

Conservation Buys Stability and Factoring Buys Counterfactuals in Physical World Models

arXiv cs.LG ↗ · 2026-09-18 Cached

This paper identifies two distinct failures in learned physical simulators—instability in long rollouts and inability to adapt to changed laws—and proposes separate structural solutions: symplectic integration for stability and explicit factorization for counterfactual generalization.

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#symplectic-integration

Between Amnesia and Chaos: A Memory Stability Expressivity Trilemma for Trainable Dissipative Oscillator Networks

arXiv cs.LG ↗ · 2026-06-10 Cached

This paper presents a memory–stability–expressivity trilemma for trainable dissipative oscillator networks, showing that damping governs all three and limits trainability, with experimental validation on a 20-oscillator network confirming the theoretical bounds.

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