The predictive rule for Chinese Restaurant Process (CRP) can be used to define an "infinite-capacity" prior distribution on the clusters in a clustering model. The most common clustering model that uses the CRP is an unbounded analogue to a Gaussian mixture model, where the "table assignments" from the CRP determine the mixture component assignments for each data point.
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→ Bayesian nonparametric lecture notes (COS 597C)
- The Indian buffet process linear Gaussian model is another Bayesian nonparametric model, but which uses latent binary representations in place of clusters.
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