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Causal Inference with Bayesian Networks

Causal Inference with Bayesian Networks

By : Yousri El Fattah, Reza Bagheri
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Causal Inference with Bayesian Networks

Causal Inference with Bayesian Networks

By: Yousri El Fattah, Reza Bagheri

Overview of this book

This practical guide explores Bayesian networks, graphical models, and causal inference for probabilistic reasoning and treatment effect estimation using real-world data. You’ll learn Bayesian networks, conditional independence, structural causal models (SCM), and intervention-based reasoning for causal analysis. The book explains how graphical models support probabilistic inference, decision-making, and knowledge representation across healthcare, economics, epidemiology, finance, and social sciences. You’ll work with probabilistic inference methods such as variable elimination, tree clustering, and Bayesian network reasoning. For causal inference, the book covers Pearl’s do-calculus, backdoor and front-door criteria, causal effect identification, and treatment effect estimation using observational data. You’ll also explore the potential outcomes framework and machine learning approaches for causal inference, including meta-learners for estimating conditional average treatment effects and heterogeneous treatment effects. Practical examples and exercises in R and Python help reinforce concepts and build implementation skills for causal modeling workflows. By the end of the book, you’ll be able to design Bayesian network models, perform probabilistic and causal inference, and develop practical causal analysis applications for evidence-based decision-making.
Table of Contents (18 chapters)
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16
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Index

Computing join tree representations

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...

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