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Mastering Probabilistic Graphical Models with Python

You're reading from  Mastering Probabilistic Graphical Models with Python

Product type Book
Published in Aug 2015
Publisher
ISBN-13 9781784394684
Pages 284 pages
Edition 1st Edition
Languages
Author (1):
Ankur Ankan Ankur Ankan
Profile icon Ankur Ankan
Toc

Table of Contents (14) Chapters close

Mastering Probabilistic Graphical Models Using Python
Credits
About the Authors
About the Reviewers
www.PacktPub.com
Preface
1. Bayesian Network Fundamentals 2. Markov Network Fundamentals 3. Inference – Asking Questions to Models 4. Approximate Inference 5. Model Learning – Parameter Estimation in Bayesian Networks 6. Model Learning – Parameter Estimation in Markov Networks 7. Specialized Models Index

Summary


In previous chapters, we considered that we know the structure of the network, which is not true in most of real-life cases. In such cases, we need to learn the structures from the data. In this chapter, we discussed the problem of learning the parameters and structures using just data samples. Firstly, we discussed two different techniques of parameter estimation, maximum likelihood estimation, and Bayesian estimation. We saw that in cases when the data samples given to us don't represent the underlying distribution, the Maximum Likelihood estimate fails to generalize over new data points. Then, we discussed the problem of learning the structure from the data using the same two techniques, that is, maximum likelihood and Bayesian learning. We showed that in the case of structure learning as well, maximum likelihood overfits the training data if we don't have enough samples.

In the next chapter, we will discuss the parameters and structures of Markov networks using data samples.

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