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25 Simplex Distributions
The simplex probabilities have support on the unit \(K\)-simplex for a specified \(K\). A \(K\)-dimensional vector \(\theta\) is a unit \(K\)-simplex if \(\theta_k \geq 0\) for \(k \in \{1,\ldots,K\}\) and \(\sum_{k = 1}^K \theta_k = 1\).