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Table Of Contents
Causal Inference with Bayesian Networks
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This section is not just about theory but about practical application. We introduce our query composition approach to variable elimination, a powerful tool for inference in Bayesian networks. We start by presenting the problem of computing the posterior probability and its mapping to a composed query on weighted relations. Then, we dive into the QCG algorithm, a proper tool for this task, and provide a detailed, step-by-step demonstration of its application on a Bayesian network example. Finally, we provide a hands-on practice section using R, showing you how to apply the QCG algorithm to compute the posterior probability on the same example using the Bayesian network representation as a database of weighted relations.
First, we define the problem of computing the posterior probability in Bayesian networks. Next, we illustrate how this problem is equivalent to a compositional query on weighted relations representing the Bayesian...