Derive a Gibbs sampling scheme for inference in the Hierarchical Dirichlet process. Assume that the base distribution

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Derive a Gibbs sampling scheme for inference in the Hierarchical Dirichlet process. Assume that the base distribution is Gaussian \(\left(H=\mathcal{N}\left(\mu_{0}, \sigma_{0}^{2}\right)\right)\) and the observations are one-dimensional real values.

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