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Variational Laplace for Dummies
Some intuitions: answering questions when faced with uncertainty
Probablities and probability distribution
The Bayes theorem
Linear models and Bayes theorem
Bayes theorem applied to the linear model
The likelihood of the estimated parameters of a linear model:
The prior of the linear model
Intermediary recap
Marginal likelihood
Variational Laplace
Jensen inequality: from an intractable integral to an optimization problem
Approximating the log posterior using quadratic approximation and the Laplace approximation
Approximating the Expectation of the log of the joint probabilitiy
Back to our penguins
Calculating the free energy for a simple linear regression
Repository
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Index
