Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bayesian Parameter Estimation via Filtering and Functional
  Approximations   The inverse problem of determining parameters in a model by comparing some
output of the model with observations is addressed. This is a description for
what hat to be done to use the Gauss-Markov-Kalman filter for the Bayesian
estimation and updating of parameters in a computational model. This is a
filter acting on random variables, and while its Monte Carlo variant --- the
Ensemble Kalman Filter (EnKF) --- is fairly straightforward, we subsequently
only sketch its implementation with the help of functional representations.

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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: econ
3
The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an