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Learning Dynamics Models with Stable Invariant Sets

AAAI 2021 · Probabilistic and scientific modeling › Dynamical systems · approach: Switching and law-discovery dynamics · 11 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Constrain the learned dynamics to have a stable limit cycleDynamics model · Limit-cycle examplelong-term prediction errorHelped
Use a stable invariant-set model trained on off-attractor dataFluid flow dynamics model · Fluid flow predictionlong-term on-attractor prediction fidelityHelped
Remove the learnable feature transform (ablation)Proposed dynamics model · Van der Pol oscillatorlimit-cycle shape fidelityHurt
Use a learnable stable invariant-set model instead of a vanilla modelDynamics model · Van der Pol oscillatorlong-term prediction errorHelped

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