 and 3 and Example 1 lies in feature dependencies. In Examples 2 and 3, the features are <em>not independent but conditionally independent</em>, where conditioning is done on the latent distribution membership. This suggests that feature dependency plays a role in <em>aligning</em> non-exchangeability with the existence of hidden subpopulations.</p>
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<h3 id="tension-between-sample-exchangeability-and-feature-independence">Tension between Sample Exchangeability and Feature 