K-means classifier is a GMM special case: likelihood enables OOD detection

caglar_ee · x · 2026-11-11

Continuing his thread on K-means-based nonlinear classifiers, the author points out that such classifiers are a special case of Gaussian mixture models, so likelihoods can be used for out-of-distribution detection. He also notes the classifier can serve as the output layer of a full model trained via alternating minimization, with coupling handled through expectations under variational posteriors.

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