3 papers
physics.flu-dyn2026
Neural ensemble Kalman filter: Data assimilation for compressible flows with shocks
Xu-Hui Zhou, Lorenzo Beronilla, Michael K. Sleeman +4
Data assimilation (DA) for compressible flows with shocks is challenging because many classical DA methods generate spurious oscillations and nonphysical features near uncertain sh…
physics.comp-ph2025
Neural operator-based super-fidelity: A warm-start approach for accelerating steady-state simulations
Xu-Hui Zhou, Jiequn Han, Muhammad I. Zafar +4
Recently, the use of neural networks to accelerate the solving of partial differential equations (PDEs) has gained significant traction in both academia and industry. However, empl…
stat.ML2024
BI-EqNO: Generalized Approximate Bayesian Inference with an Equivariant Neural Operator Framework
Xu-Hui Zhou, Zhuo-Ran Liu, Heng Xiao
Bayesian inference offers a robust framework for updating prior beliefs based on new data using Bayes' theorem, but exact inference is often computationally infeasible, necessitati…