MULTILEVEL ENSEMBLE KALMAN FILTERING

作者：Hoel Hakon^*; Law Kody J H; Tempone Raul

来源：SIAM Journal on Numerical Analysis, 2016, 54(3): 1813-1839.

DOI：10.1137/15M100955X

• Monte Carlo
• multilevel
• filtering
• Kalman filter
• ensemble Kalman filter

This work embeds a multilevel Monte Carlo sampling strategy into the Monte Carlo step of the ensemble Kalman filter (EnKF) in the setting of finite dimensional signal evolution and noisy discrete-time observations. The signal dynamics is assumed to be governed by a stochastic differential equation (SDE), and a hierarchy of time grids is introduced for multilevel numerical integration of that SDE. The resulting multilevel EnKF is proved to asymptotically outperform EnKF in terms of computational cost versus approximation accuracy. The theoretical results are illustrated numerically.

• 出版日期2016