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Generalizing to New Physical Systems via Context-Informed Dynamics Model

About

Data-driven approaches to modeling physical systems fail to generalize to unseen systems that share the same general dynamics with the learning domain, but correspond to different physical contexts. We propose a new framework for this key problem, context-informed dynamics adaptation (CoDA), which takes into account the distributional shift across systems for fast and efficient adaptation to new dynamics. CoDA leverages multiple environments, each associated to a different dynamic, and learns to condition the dynamics model on contextual parameters, specific to each environment. The conditioning is performed via a hypernetwork, learned jointly with a context vector from observed data. The proposed formulation constrains the search hypothesis space to foster fast adaptation and better generalization across environments. We theoretically motivate our approach and show state-of-the-art generalization results on a set of nonlinear dynamics, representative of a variety of application domains. We also show, on these systems, that new system parameters can be inferred from context vectors with minimal supervision. Code is available at https://github.com/yuan-yin/CoDA .

Matthieu Kirchmeyer, Yuan Yin, J\'er\'emie Don\`a, Nicolas Baskiotis, Alain Rakotomamonjy, Patrick Gallinari• 2022

Related benchmarks

TaskDatasetResultRank
PDE Dynamics ForecastingNavier-Stokes (ID)
nMSE0.431
11
PDE Dynamics ForecastingNavier-Stokes (NS) OOD
nMSE0.914
11
PDE Dynamics ForecastingHeat Convection (HC) (OOD)
nMSE2.37
7
PDE Dynamics ForecastingDR (ID)
nMSE0.34
7
PDE Dynamics ForecastingDiffusion-Reaction (DR) (OOD)
nMSE0.605
7
PDE Dynamics ForecastingHeat Convection (ID)
NMSE1.16
7
PDE Dynamics ForecastingBurgers (ID)
nMSE0.872
7
PDE Dynamics ForecastingBurgers OOD
nMSE0.922
7
ForecastingODE-governed pendulum dynamics (OOD)
nMSE5.31
3
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