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You're reading from  Bayesian Analysis with Python - Third Edition

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Published inJan 2024
Reading LevelExpert
PublisherPackt
ISBN-139781805127161
Edition3rd Edition
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Osvaldo Martin
Osvaldo Martin
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Osvaldo Martin

Osvaldo Martin is a researcher at CONICET, in Argentina. He has experience using Markov Chain Monte Carlo methods to simulate molecules and perform Bayesian inference. He loves to use Python to solve data analysis problems. He is especially motivated by the development and implementation of software tools for Bayesian statistics and probabilistic modeling. He is an open-source developer, and he contributes to Python libraries like PyMC, ArviZ and Bambi among others. He is interested in all aspects of the Bayesian workflow, including numerical methods for inference, diagnosis of sampling, evaluation and criticism of models, comparison of models and presentation of results.
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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...

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Bayesian Analysis with Python - Third Edition
Published in: Jan 2024Publisher: PacktISBN-13: 9781805127161

Author (1)

author image
Osvaldo Martin

Osvaldo Martin is a researcher at CONICET, in Argentina. He has experience using Markov Chain Monte Carlo methods to simulate molecules and perform Bayesian inference. He loves to use Python to solve data analysis problems. He is especially motivated by the development and implementation of software tools for Bayesian statistics and probabilistic modeling. He is an open-source developer, and he contributes to Python libraries like PyMC, ArviZ and Bambi among others. He is interested in all aspects of the Bayesian workflow, including numerical methods for inference, diagnosis of sampling, evaluation and criticism of models, comparison of models and presentation of results.
Read more about Osvaldo Martin