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I have a physical system which can be represented by the following Bayesian network.

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It has the following characteristics

1)

The encoded variables are continuous variables

2)
The causal relationships between different variables are equations. For instance, x5 = f(x1, x2, x3).

In the standard Bayesian network, we can use Gibbs sampling or MCMC to do the forward sampling. For this kind of Bayesian network, how to perform the forward sampling.

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