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Table Of Contents
Causal Inference with Bayesian Networks
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This section addresses the crucial final step of tree clustering, which involves computing a join tree representation of the Bayesian network. This representation plays a pivotal role in our understanding and application of Bayesian networks.
The aim of tree clustering is to decompose the inference problem for Bayesian network tasks into smaller, manageable problems on subnetworks. This method allows us to address the inference problem locally for each subnetwork and subsequently propagate the local solutions through the join tree, ultimately constructing a global solution. This process enhances the efficiency of computations.
The section is organized as follows. First, we state the general problem of graph decomposition and provide formal definitions to lay the foundation for subsequent sections. Next, we describe the concept of maximal prime subgraph decomposition, a natural step forward from graph decomposition. We follow with a section...