250 citations · 608 across the 33 of their papers we have counts for
36 papers
A Comprehensive Review of Latent Space Dynamics Identification Algorithms for Intrusive and Non-Intrusive Reduced-Order-Modeling
Christophe Bonneville, Xiaolong He, April Tran +10
Numerical solvers of partial differential equations (PDEs) have been widely employed for simulating physical systems. However, the computational cost remains a major bottleneck in…
Coarse-Graining Hamiltonian Systems Using WSINDy
Daniel A. Messenger, Joshua W. Burby, David M. Bortz
The Weak-form Sparse Identification of Nonlinear Dynamics algorithm (WSINDy) has been demonstrated to offer coarse-graining capabilities in the context of interacting particle syst…
Weak-Form Latent Space Dynamics Identification
April Tran, Xiaolong He, Daniel A. Messenger +2
Recent work in data-driven modeling has demonstrated that a weak formulation of model equations enhances the noise robustness of a wide range of computational methods. In this pape…
Direct Estimation of Parameters in ODE Models Using WENDy: Weak-form Estimation of Nonlinear Dynamics
David M. Bortz, Daniel A. Messenger, Vanja Dukic
We introduce the Weak-form Estimation of Nonlinear Dynamics (WENDy) method for estimating model parameters for non-linear systems of ODEs. Without relying on any numerical differen…
Asymptotic consistency of the WSINDy algorithm in the limit of continuum data
Daniel A. Messenger, David M. Bortz
In this work we study the asymptotic consistency of the weak-form sparse identification of nonlinear dynamics algorithm (WSINDy) in the identification of differential equations fro…
Learning Anisotropic Interaction Rules from Individual Trajectories in a Heterogeneous Cellular Population
Daniel A. Messenger, Graycen E. Wheeler, Xuedong Liu +1
Interacting particle system (IPS) models have proven to be highly successful for describing the spatial movement of organisms. However, it has proven challenging to infer the inter…