diff --git a/prml_errata.tex b/prml_errata.tex index 062ff87..ba429a4 100644 --- a/prml_errata.tex +++ b/prml_errata.tex @@ -1994,11 +1994,12 @@ \subsubsection*{#1} Bayesian model comparison to work; see the discussion around (3.73). -\parhead{Bayes free energy vs.\ generalization loss} +\parhead{Generalization error vs.\ marginal likelihood} Moreover, one should also be aware of a subtlety that -(i)~the \emph{marginal likelihood}, -which is used in the Bayesian model comparison framework (see Section~3.4), and -(ii)~the \emph{generalization error}, which can be estimated by cross-validation (Section~3.2), +(i)~the \emph{generalization error}, +which can be estimated by cross-validation (Section~3.2), and +(ii)~the \emph{marginal likelihood}, +which is used in the Bayesian model comparison framework (Section~3.4), are closely related but different criteria for assessing model complexity, although, in practice, a higher marginal likelihood often tends to imply a lower generalization error and vice versa.