Table of Contents
1. Basic maths
2. Variational families
2.1. Mean-field Gaussian
2.2. Full-rank Gaussian
2.3. Recommendations
3. Conclusions
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## Checking soccer models with PPC

As far as I can think right now (not very far), there are two things you
typically want to do once you have a model and done some inference:
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## Multivariate normal covariance matrices and the cholesky decomposition

This post is mainly some notes about linear algebra, the cholesky decomposition,
and a way of parametrising the multivariate normal which might be more efficient
in some cases. In general it is best to use existing implementations of stuff
like this - this post is just a learning exercise.
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## Exploration with arviz

In a previous post I had a look at using pyro but found myself writing a lot more code just to have a look at the inference than to actually perform it. Fortunately, one of the arviz developers commented on the post and let me know that arviz would have...
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## Going NUTS with pyro and pystan

Table of Contents
1. pyro
2. pystan
3. Conclusions
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