Extends structural identifiability analysis to functional components of differential equation models and characterizes conditions for unique recovery using differential algebra techniques.
Integrating scientific knowledge with machine learning for engineering and environmental systems,
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An active learning method based on E-SINDy identifies governing ODEs and PDEs accurately with significantly fewer data samples than random sampling across tested systems.
AMIGO is an end-to-end differentiable forward model of JWST AMI that corrects detector systematics to recover high-precision astrometry and detect close high-contrast companions.
A PINN fuses NOAA Coral Reef Watch SST with sparse loggers via the 1D heat equation to generate depth-resolved temperatures and Degree Heating Day profiles with 0.25-1.38°C RMSE at unseen depths.
WeatherRobustBus injects hourly weather into real bus blocks, couples a physics backbone with a bounded monotone residual ensemble, and shows a policy reducing cold-wave failure probability from 0.759 to 0.112.
An adaptive multi-particle SDE framework using Euler-Maruyama discretization and Girsanov change of measure is developed for non-linear forecasting of marine engine parameters, claiming superior multi-step stability and efficiency over VARIMA.
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