How does Naïve Bayes relate to likelihood-free inference approximations?

Updated May 17, 2026

Short answer

Naïve Bayes avoids likelihood-free inference because it assumes explicit parametric distributions.

Deep explanation

Likelihood-free inference methods like ABC approximate distributions when likelihood is intractable. Naïve Bayes instead assumes explicit parametric forms (Gaussian, multinomial), enabling direct computation of likelihoods. This makes NB computationally efficient but less flexible than likelihood-free approaches.

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