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Table Of Contents
Causal Inference with Bayesian Networks
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In this chapter, we introduce a relational database framework designed for representing and reasoning with probabilistic graphical models. This framework expands the standard representation of relational databases by incorporating the novel concept of weighted relations. We will describe how to express inference tasks in probabilistic graphical models in the relational database framework using the languages of relational algebra and structured query language (SQL), both of which are relationally complete.
We will explain various types of dependencies present in relational databases and highlight the desirable properties of acyclic databases, which enhance the efficiency of inference tasks. This chapter will teach you how to represent Bayesian networks (BNs) as relational databases and how to formulate inference tasks as relational queries. Additionally, we will address the problem of decision-making under uncertainty and its graphical model representation...