What is the relationship between Naïve Bayes and expectation-maximization (EM) under latent variables?

Updated May 17, 2026

Short answer

Naïve Bayes can be extended using EM when class labels are partially or fully latent.

Deep explanation

When labels are missing, EM alternates between estimating class probabilities (E-step) and updating likelihood parameters (M-step). This results in semi-supervised or unsupervised Naïve Bayes variants. EM leverages soft assignments to iteratively refine parameter estimates until convergence.

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