2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NA2023★ 1 cited
A Surrogate Data Assimilation Model for the Estimation of Dynamical System in a Limited Area
Wei Kang, Liang Xu, Hong Zhou
We propose a novel learning-based surrogate data assimilation (DA) model for efficient state estimation in a limited area. Our model employs a feedforward neural network for online…
math.OC2018★ 1 cited
Sparsity-Based Kalman Filters for Data Assimilation
Wei Kang, Liang Xu
Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applic…
math.OC2014★ 2 cited
Partial Observability and its Consistency for PDEs
Wei Kang, Liang Xu, Francis X. Giraldo
In this paper, a quantitative measure of partial observability is defined for PDEs. The quantity is proved to be consistent if the PDE is approximated using well-posed approximatio…