MML-14-14: Gaussian Mixture Models (GMM) & Latent Variable Formulation – Practice Quiz

35 worked single-select and multiselect questions on Gaussian Mixture Models (GMM) & Latent Variable Formulation. Cognitive level: Tier 2–3. Prerequisites: QS 14.13, Part 09.

Learning objectives: Form valid Gaussian mixture and latent-variable distributions; Compute marginal densities and posterior responsibilities; Distinguish mixing weights from observation-specific posteriors; Calculate mixture moments and covariance parameter counts; Interpret soft assignments and component nonidentifiability; Diagnose likelihood collapse and stable posterior computation.

Each item is self-contained, with calculations, model diagnostics and explanations of every distractor. Study references: Mathematics for Machine Learning; scikit-learn Gaussian mixture guide.