64 citations · 126 across the 15 of their papers we have counts for
4 papers · 1 filter
Machine Learning for Prediction with Missing Dynamics
John Harlim, Shixiao W. Jiang, Senwei Liang +1
This article presents a general framework for recovering missing dynamical systems using available data and machine learning techniques. The proposed framework reformulates the pre…
Asymmetric behavior of surface waves induced by an underlying interfacial wave
Shixiao W. Jiang, Gregor Kovačič, Douglas Zhou
We develop a weakly nonlinear model to study the spatiotemporal manifestation and the dynamical behavior of surface waves in the presence of an underlying interfacial solitary wave…
Modulation-resonance mechanism for surface waves in a two-layer fluid system
Shixiao W. Jiang, Gregor Kovačič, Douglas Zhou +1
We propose a Boussinesq-type model to study the surface/interfacial wave manifestation of an underlying, slowly-varying, long-wavelength, baroclinic flow in a two-layer, density-st…
Modeling of Missing Dynamical Systems: Deriving Parametric Models using a Nonparametric Framework
Shixiao W. Jiang, John Harlim
In this paper, we consider modeling missing dynamics with a nonparametric non-Markovian model, constructed using the theory of kernel embedding of conditional distributions on appr…