most citedExtended dynamic mode decomposition with dictionary learning: a data-driven adaptive spectral decomposition of the Koopman operator

449 citations · 449 across the 1 of their papers we have counts for

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math.DS2020

OnsagerNet: Learning Stable and Interpretable Dynamics using a Generalized Onsager Principle

Haijun Yu, Xinyuan Tian, Weinan E +1

We propose a systematic method for learning stable and physically interpretable dynamical models using sampled trajectory data from physical processes based on a generalized Onsage…

math.DS2017★ 449 cited

Extended dynamic mode decomposition with dictionary learning: a data-driven adaptive spectral decomposition of the Koopman operator

Qianxiao Li, Felix Dietrich, Erik M. Bollt +1

Numerical approximation methods for the Koopman operator have advanced considerably in the last few years. In particular, data-driven approaches such as dynamic mode decomposition…