Bayesian Networks: With Examples in R

Understand the Foundations of Bayesian Networks—Core Properties and Definitions Explained

Bayesian Networks: With Examples in R introduces Bayesian networks using a hands-on approach. Simple yet meaningful examples in R illustrate each step of the modeling process. The examples start from the simplest notions and gradually increase in complexity. The authors also distinguish the probabilistic models from their estimation with data sets.

The first three chapters explain the whole process of Bayesian network modeling, from structure learning to parameter learning to inference. These chapters cover discrete Bayesian, Gaussian Bayesian, and hybrid networks, including arbitrary random variables.

The book then gives a concise but rigorous treatment of the fundamentals of Bayesian networks and offers an introduction to causal Bayesian networks. It also presents an overview of R and other software packages appropriate for Bayesian networks. The final chapter evaluates two real-world examples: a landmark causal protein signaling network paper and graphical modeling approaches for predicting the composition of different body parts.

Suitable for graduate students and non-statisticians, this text provides an introductory overview of Bayesian networks. It gives readers a clear, practical understanding of the general approach and steps involved.

Table of Contents

Chapter 1: The Discrete Case: Multinomial Bayesian Networks
Chapter 2: The Continuous Case: Gaussian Bayesian Networks
Chapter 3: More Complex Cases: Hybrid Bayesian Networks
Chapter 4: Theory and Algorithms for Bayesian Networks
Chapter 5: Software for Bayesian Networks
Chapter 6: Real-World Applications of Bayesian Networks
Appendix A: Graph Theory
Appendix B: Probability Distributions
Appendix C: A Note about Bayesian Networks