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Data assimilation: The Schrodinger perspective

delete2019-06-14
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Sebastian Reich *
DOI:10.1017/S0962492919000011delete
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Abstract

Abstract

En 中文
Data assimilation addresses the general problem of how to combine model-based predictions with partial and noisy observations of the process in an optimal manner. This survey focuses on sequential data assimilation techniques using probabilistic particle-based algorithms. In addition to surveying recent developments for discrete- and continuous-time data assimilation, both in terms of mathematical foundations and algorithmic implementations, we also provide a unifying framework from the perspective of coupling of measures, and Schrodinger's boundary value problem for stochastic processes in particular.
Keywords:
ENSEMBLE KALMAN FILTER
MONTE-CARLO
PARTICLE FILTERS
BUCY FILTER
DIFFUSION
STABILITY
EQUATIONS
ACCURACY
GRADIENT
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Journal

Acta Numerica cover
Acta Numerica
IF:
11.3
Papers:
89
Citations:
3.4K

Organization

U
University of Potsdam
Scholars:
7.8K
Papers: 7.1K
Citations: 1.4W