What is feature likelihood estimation in Multinomial Naïve Bayes with smoothing?

Updated May 17, 2026

Short answer

Likelihood is estimated as smoothed normalized word counts per class.

Deep explanation

In Multinomial NB, likelihood P(w|C) is computed as (count(w,C)+α)/(total_words_in_class + α*V), where V is vocabulary size. Smoothing prevents zero probabilities and stabilizes rare word effects. This is crucial in NLP where unseen words are common.

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