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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

Discriminative versus generative training


Until now, we have been trying to learn the model to predict all the variables. This kind of learning is known as generative learning, as we are trying to generate all the variables, the ones we are trying to predict as well as the ones that we want to use as features. However, as we discussed earlier, in many cases, we already know the conditional distribution that we want to predict. So, in such cases, we try to predict a model so that is as close as possible to . This is known as discriminative learning.

Learning task

As discussed in the previous sections, we must formalize our learning task. The inputs for our learning task are as follows:

  • Constraints for our model, , which will be used to define our hypothesis space
  • A set of independent and identically distributed samples, , from the original distribution

The output of our learning will either be the network structure, the parameters, or both. Let's discuss all these in a bit more detail.

Model...

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