Bayesian Mixture Models
Overview
Bayesian mixture models represent data as arising from several latent groups, using probability distributions over both component parameters and the assignments of observations to components. Finite mixtures and nonparametric approaches such as Dirichlet-process and Pitman–Yor mixtures support clustering, density estimation, online category discovery, and mixture-of-experts models. Researchers use Markov chain Monte Carlo and variational inference to fit these models, including in settings such as distributed data, neural networks, and synthetic-data generation. A central challenge is balancing flexible discovery of the number and shape of components with reliable, scalable inference, since multimodality, label switching, and mode collapse can make estimates difficult to compute and interpret.
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