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seems to be you mean that distributions are estimated from data?
for given categorical feature it is probabilities and conditional probability (values and target) from calculated from data?
can you please clarify , what you mean under feature distributions
for example
discrete features that are categorically distributed. The categories of each feature are drawn from a categorical distribution.
https://scikit-learn.org/stable/modules/generated/sklearn.naive_bayes.CategoricalNB.html#sklearn.naive_bayes.CategoricalNB
seems to be you mean that distributions are estimated from data?
for given categorical feature it is probabilities and conditional probability (values and target) from calculated from data?
as mentioned in
https://datascience.stackexchange.com/questions/58720/naive-bayes-for-categorical-features-non-binary
Some people recommend using MultinomialNB which according to me doesn't make sense because it considers feature values to be frequency counts
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