Interpreting predict_proba, multinomial Naive Bayes

Question

I used MultinomialNB() from scikit-learn. Using predict_proba, how can I interpret these probabilites? My initial guess was: a probability of 0.8 means that the classifier is 80% certain that class X is the right class.

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Answer 1

Your intuition is correct. As you can read in documentation, predict_proba returns the probability of the samples for each class in the model. So, if we assume that you have 4 classes in your trained model and predict_proba returns [0.6, 0.2, 0.19, 0.01] (it's always sums up to 1) it is saying that your data is first class with 60% probability, second with 20% etc.

Documentation: https://scikit-learn.org/stable/modules/generated/sklearn.naive_bayes.MultinomialNB.html