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Mastering Probabilistic Graphical Models with Python

Mastering Probabilistic Graphical Models with Python

By : Ankan
3.3 (7)
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Mastering Probabilistic Graphical Models with Python

Mastering Probabilistic Graphical Models with Python

3.3 (7)
By: Ankan

Overview of this book

Probabilistic Graphical Models is a technique in machine learning that uses the concepts of graph theory to compactly represent and optimally predict values in our data problems. In real world problems, it's often difficult to select the appropriate graphical model as well as the appropriate inference algorithm, which can make a huge difference in computation time and accuracy. Thus, it is crucial to know the working details of these algorithms. This book starts with the basics of probability theory and graph theory, then goes on to discuss various models and inference algorithms. All the different types of models are discussed along with code examples to create and modify them, and also to run different inference algorithms on them. There is a complete chapter devoted to the most widely used networks Naive Bayes Model and Hidden Markov Models (HMMs). These models have been thoroughly discussed using real-world examples.
Table of Contents (9 chapters)
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8
Index

Chapter 3. Inference – Asking Questions to Models

In the previous chapters, we looked at the different types of models and how to create models for our problems. We also saw how the probabilities of variables change when we change the probabilities of some other variables. In this chapter, we will be discussing the various algorithms that can be used to compute these changes in the probabilities. We will also see how to use these inference algorithms to predict the values of variables of new data points based on our model, which was trained using our previous data.

In this chapter, we will cover:

  • Using inference to answer queries about the model
  • Variable elimination
  • Understanding the belief propagation algorithm using a clique tree
  • MAP inference using variable elimination
  • MAP inference using belief propagation
  • Comparison between variable elimination and belief propagation
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