seniorNaïve Bayes
How does Naïve Bayes relate to probabilistic graphical model inference complexity?
Updated May 17, 2026
Short answer
Naïve Bayes achieves O(n) inference complexity due to conditional independence structure in its graphical model.
Deep explanation
In general Bayesian networks, inference can be exponential in number of variables. Naïve Bayes simplifies this by enforcing a star-shaped graph, allowing factorization into independent likelihood terms. This reduces inference complexity from exponential to linear in feature count.
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