What is it about?
We develop a cheap approximation of the Bayesian Update. In contrast to the classical Bayesian Update we update not the probability densities, but PCE coefficients, approximated via polynomial chaos expansion.
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Why is it important?
Very important for fast and efficient data assimilation. The developed method allows us to incorporate available measurements into existing model.
Perspectives
This is a non-linear extension of the famous Kalman filter.
Dr. Alexander Litvinenko
Rheinisch Westfalische Technische Hochschule Aachen
Read the Original
This page is a summary of: Sampling-free linear Bayesian update of polynomial chaos representations, Journal of Computational Physics, July 2012, Elsevier,
DOI: 10.1016/j.jcp.2012.04.044.
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