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If you do not
have much data, you should use a
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simple model,
because a complex one will overfit.
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This
is true. But only if you assume that fitting a
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model
means choosing a single best setting of
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the
parameters.
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If you
use the full posterior over parameter
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settings,
overfitting disappears!
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With
little data, you get very vague predictions
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because
many different parameters settings
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have
significant posterior probability
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