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Paper · arXiv

Factorized Neural Implicit DMD for Parametric Dynamics

A data-driven, model-free approach to modeling the temporal evolution of physical systems mitigates the need for explicit knowledge of the governing equations. Even when physical priors such as partial differential equations are available, such systems often reside in high-dimensional state spaces and exhibit nonlinear dynamics, making traditional numerical solvers computationally expensive and ill-suited for real-time analysis and control. Consider the problem of learning a parametric flow of a dynamical system: with an initial field and a set of physical parameters, we aim to predict the system's evolution over time in a way that supports long-horizon rollouts, generalization to unseen ...

AuthorsSiyuan Chen, Zhecheng Wang, Yixin Chen et al.
Primary categorycs.LG
Published11 March 2026
Last updated at source11 March 2026
cs.LG
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