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Ideally, when
making a prediction, we would like to
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integrate out
the hyperparameters, just like we integrate
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out the weights
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But
this is infeasible even when everything is
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Gaussian.
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Empirical
Bayes (also called the evidence approximation)
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means
integrating out the parameters but maximizing over
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the
hyperparameters.
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Its
more feasible and often works well.
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It
creates ideological disputes.
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