In the well-specified case, the posterior mass on extra components beyond the true K vanishes at rate n^{-1/2}, yielding nearly optimal Wasserstein contraction for the mixing measure and logarithmic cluster growth with polynomial decay in misassigned points.
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Posterior concentration and adaptation of the mixing measure in Dirichlet process mixtures
In the well-specified case, the posterior mass on extra components beyond the true K vanishes at rate n^{-1/2}, yielding nearly optimal Wasserstein contraction for the mixing measure and logarithmic cluster growth with polynomial decay in misassigned points.