449 citations · 498 across the 2 of their papers we have counts for
2 papers
math.DS2020★ 49 cited
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…