Machine learning with data assimilation and uncertainty quantification for dynamical systems: a review

S Cheng, C Quilodrán-Casas, S Ouala… - IEEE/CAA Journal of …, 2023 - ieeexplore.ieee.org
Data assimilation (DA) and uncertainty quantification (UQ) are extensively used in analysing
and reducing error propagation in high-dimensional spatial-temporal dynamics. Typical …

Data assimilation in the geosciences: An overview of methods, issues, and perspectives

A Carrassi, M Bocquet, L Bertino… - Wiley Interdisciplinary …, 2018 - Wiley Online Library
We commonly refer to state estimation theory in geosciences as data assimilation (DA). This
term encompasses the entire sequence of operations that, starting from the observations of a …

[图书][B] Data assimilation fundamentals: A unified formulation of the state and parameter estimation problem

G Evensen, FC Vossepoel, PJ Van Leeuwen - 2022 - library.oapen.org
This open-access textbook's significant contribution is the unified derivation of data-
assimilation techniques from a common fundamental and optimal starting point, namely …

[图书][B] Rank issues

G Evensen, G Evensen - 2009 - Springer
It is in the previous chapters stated that the EnKF analysis scheme may have problems in
cases where the number of measurements is larger than the number of members in the …

Sequential data assimilation with a nonlinear quasi‐geostrophic model using Monte Carlo methods to forecast error statistics

G Evensen - Journal of Geophysical Research: Oceans, 1994 - Wiley Online Library
A new sequential data assimilation method is discussed. It is based on forecasting the error
statistics using Monte Carlo methods, a better alternative than solving the traditional and …

The ensemble Kalman filter: Theoretical formulation and practical implementation

G Evensen - Ocean dynamics, 2003 - Springer
The purpose of this paper is to provide a comprehensive presentation and interpretation of
the Ensemble Kalman Filter (EnKF) and its numerical implementation. The EnKF has a large …

Analysis scheme in the ensemble Kalman filter

G Burgers, P Jan van Leeuwen… - Monthly weather …, 1998 - journals.ametsoc.org
This paper discusses an important issue related to the implementation and interpretation of
the analysis scheme in the ensemble Kalman filter. It is shown that the observations must be …

[HTML][HTML] An ensemble adjustment Kalman filter for data assimilation

JL Anderson - Monthly weather review, 2001 - journals.ametsoc.org
An Ensemble Adjustment Kalman Filter for Data Assimilation in: Monthly Weather Review
Volume 129 Issue 12 (2001) Jump to Content Logo Logo Logo Logo Logo Logo …

A Monte Carlo implementation of the nonlinear filtering problem to produce ensemble assimilations and forecasts

JL Anderson, SL Anderson - Monthly weather review, 1999 - journals.ametsoc.org
Abstract Knowledge of the probability distribution of initial conditions is central to almost all
practical studies of predictability and to improvements in stochastic prediction of the …

Unified notation for data assimilation: Operational, sequential and variational (gtspecial issueltdata assimilation in meteology and oceanography: Theory and practice)

K Ide, P Courtier, M Ghil, AC Lorenc - Journal of the Meteorological …, 1997 - jstage.jst.go.jp
抄録 The need for unified notation in atmospheric and oceanic data assimilation arises from
the field's rapid theoretical expansion and the desire to translate it into practical applications …