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When it is Independent and Identically Distributed, p(D)=∏ip(xi,yi)=∏ip(xi)p(yi∣xi)p(\mathcal{D})=\prod_{i} p\left(x_{i}, y_{i}\right) = \prod_{i} p\left(x_{i}\right) p\left(y_{i} \mid x_{i}\right).

Referenced in

Independent and Identically Distributed