45 citations · 48 across the 6 of their papers we have counts for
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math.ST2019
Spatial localization for nonlinear dynamical stochastic models for excitable media
Nan Chen, Andrew J. Majda, Xin T. Tong
Nonlinear dynamical stochastic models are ubiquitous in different areas. Excitable media models are typical examples with large state dimensions. Their statistical properties are o…
math.ST2017★ 2 cited
Rigorous Analysis for Efficient Statistically Accurate Algorithms for Solving Fokker-Planck Equations in Large Dimensions
Nan Chen, Andrew J. Majda, Xin T. Tong
This article presents a rigorous analysis for efficient statistically accurate algorithms for solving the Fokker-Planck equations associated with high-dimensional nonlinear turbule…
math.ST2016
Rigorous accuracy and robustness analysis for two-scale reduced random Kalman filters in high dimensions
Andrew J. Majda, Xin T. Tong
Contemporary data assimilation often involves millions of prediction variables. The classical Kalman filter is no longer computationally feasible in such a high dimensional context…