8 papers
Learning Effective Soliton Dynamics from Scattering Data
Seth Minor, Vanja Dukic, David M. Bortz
The inverse scattering transform (IST) provides the standard theoretical framework for deriving soliton dynamics. Traditionally, such derivations have been of an analytical, rather…
Learning effective models from network dynamics data with multiple initial conditions using weak form SINDy
Moyi Tian, Daniel A. Messenger, Vanja Dukic +2
Social systems consist of networks of individuals who influence one another through social interactions. Studying how processes evolve on these networks can help us better understa…
A practical identifiability criterion leveraging weak-form parameter estimation
Nora Heitzman-Breen, Vanja Dukic, David M. Bortz
In this work, we define a practical identifiability criterion, (e, q)-identifiability, based on a parameter e, reflecting the noise in observed variables, and a parameter q, reflec…
WENDy for Nonlinear-in-Parameters ODEs
Nic Rummel, Daniel A. Messenger, Stephen Becker +2
The Weak-form Estimation of Non-linear Dynamics (WENDy) framework is a recently developed approach for parameter estimation and inference of systems of ordinary differential equati…
Weak Form Learning for Mean-Field Partial Differential Equations: an Application to Insect Movement
Seth Minor, Bret D. Elderd, Benjamin Van Allen +2
Insect species subject to infection, predation, and anisotropic environmental conditions may exhibit preferential movement patterns. Given the innate stochasticity of exogenous fac…
Bias and Coverage Properties of the WENDy-IRLS Algorithm
Abhi Chawla, David M. Bortz, Vanja Dukic
The Weak form Estimation of Nonlinear Dynamics (WENDy) method is a recently proposed class of parameter estimation algorithms that exhibits notable noise robustness and computation…