115 citations · 519 across the 28 of their papers we have counts for
4 papers · 1 filter
On the identifiability of interaction functions in systems of interacting particles
Zhongyang Li, Fei Lu, Mauro Maggioni +2
We address a fundamental issue in the nonparametric inference for systems of interacting particles: the identifiability of the interaction functions. We prove that the interaction…
Learning interaction kernels in heterogeneous systems of agents from multiple trajectories
Fei Lu, Mauro Maggioni, Sui Tang
Systems of interacting particles or agents have wide applications in many disciplines such as Physics, Chemistry, Biology and Economics. These systems are governed by interaction l…
Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism
Kevin K. Lin, Fei Lu
Model reduction methods aim to describe complex dynamic phenomena using only relevant dynamical variables, decreasing computational cost, and potentially highlighting key dynamical…
Joint state-parameter estimation of a nonlinear stochastic energy balance model from sparse noisy data
Fei Lu, Nils Weitzel, Adam H. Monahan
While nonlinear stochastic partial differential equations arise naturally in spatiotemporal modeling, inference for such systems often faces two major challenges: sparse noisy data…