10.7 Scoring the conditional probability of the class
If the final aim is to approximate the conditional information of the class given the attributes instead of optimizing the accuracy, then a different measure should be used. If conditioned to the attributes, what we obtain is a precise probability for the probability of the class
, then the usual score for each case is the logarithm of the likelihood score:
, where
is the true value of the class. This scored is added for the different cases in the test set. If instead of a single probability,
, what we obtain is a credal set
, then there is not an obvious way of generalizing this score. Here we propose to use the following one: Let
the probability having maximum entropy in , then we use the logarithm of the likelihood score computed with ...
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