60 citations · 240 across the 20 of their papers we have counts for
20 papers
Learned Lagrangian Models of PDEs via Euler-Lagrange Residual Minimization
Lyra Zhornyak, Eric Forgoston, M. Ani Hsieh
We present the first method to directly use a learned continuous Lagrangian to forecast the dynamics of systems governed by partial differential equations, exploiting the inherent…
Exploring the Dynamics of Lotka-Volterra Systems: Efficiency, Extinction Order, and Predictive Machine Learning
Sepideh Vafaie, Deepak Bal, Michael A. S. Thorne +1
For years, a main focus of ecological research has been to better understand the complex dynamical interactions between species which comprise food webs. Using the connectance prop…
Stability and Fluctuations in Complex Ecological Systems
Eric Forgoston, Sarah Day, Peter C. de Ruiter +24
From 08-12 August, 2022, 32 individuals participated in a workshop, Stability and Fluctuations in Complex Ecological Systems, at the Lorentz Center, located in Leiden, The Netherla…
Knowledge-Based Learning of Nonlinear Dynamics and Chaos
Tom Z. Jiahao, M. Ani Hsieh, Eric Forgoston
Extracting predictive models from nonlinear systems is a central task in scientific machine learning. One key problem is the reconciliation between modern data-driven approaches an…
Bridging the Gap: Machine Learning to Resolve Improperly Modeled Dynamics
Maan Qraitem, Dhanushka Kularatne, Eric Forgoston +1
We present a data-driven modeling strategy to overcome improperly modeled dynamics for systems exhibiting complex spatio-temporal behaviors. We propose a Deep Learning framework to…
A primer on noise-induced transitions in applied dynamical systems
Eric Forgoston, Richard O. Moore
Noise plays a fundamental role in a wide variety of physical and biological dynamical systems. It can arise from an external forcing or due to random dynamics internal to the syste…