Search icon CANCEL
Subscription
0
Cart icon
Your Cart (0 item)
Close icon
You have no products in your basket yet
Arrow left icon
Explore Products
Best Sellers
New Releases
Books
Videos
Audiobooks
Learning Hub
Conferences
Free Learning
Arrow right icon
Arrow up icon
GO TO TOP
Bayesian Analysis with Python

You're reading from   Bayesian Analysis with Python A practical guide to probabilistic modeling

Arrow left icon
Product type Paperback
Published in Jan 2024
Publisher Packt
ISBN-13 9781805127161
Length 394 pages
Edition 3rd Edition
Languages
Tools
Arrow right icon
Author (1):
Arrow left icon
Osvaldo Martin Osvaldo Martin
Author Profile Icon Osvaldo Martin
Osvaldo Martin
Arrow right icon
View More author details
Toc

Table of Contents (15) Chapters Close

Preface
1. Chapter 1 Thinking Probabilistically 2. Chapter 2 Programming Probabilistically FREE CHAPTER 3. Chapter 3 Hierarchical Models 4. Chapter 4 Modeling with Lines 5. Chapter 5 Comparing Models 6. Chapter 6 Modeling with Bambi 7. Chapter 7 Mixture Models 8. Chapter 8 Gaussian Processes 9. Chapter 9 Bayesian Additive Regression Trees 10. Chapter 10 Inference Engines 11. Chapter 11 Where to Go Next 12. Bibliography
13. Other Books You May Enjoy
14. Index

8.12 Exercises

  1. For the example in the Covariance functions and kernels section, make sure you understand the relationship between the input data and the generated covariance matrix. Try using other input such as data = np.random.normal(size=4).

  2. Rerun the code generating Figure 8.3 and increase the number of samples obtained from the GP prior to around 200. In the original figure, the number of samples is 2. What is the range of the generated values?

  3. For the generated plot in the previous exercise, compute the standard deviation for the values at each point. Do this in the following form:

    • Visually, just observing the plots

    • Directly from the values generated from pz.MVNormal(.).rvs

    • By inspecting the covariance matrix (if you have doubts go back to exercise 1)

    Did the values you get from these three methods match?

  4. Use test points np.linspace(np.floor(x.min()), 20, 100)[:,None] and re-run model_reg. Plot the results. What did you observe? How is this related to the specification...

lock icon The rest of the chapter is locked
Register for a free Packt account to unlock a world of extra content!
A free Packt account unlocks extra newsletters, articles, discounted offers, and much more. Start advancing your knowledge today.
Unlock this book and the full library FREE for 7 days
Get unlimited access to 7000+ expert-authored eBooks and videos courses covering every tech area you can think of
Renews at $19.99/month. Cancel anytime