Which of the following statements accurately describes the relationship between d-separation and conditional independence in directed graphical models?
Question 2
In a directed graphical model, what is the primary implication of a v-structure (or immoralitry) where two parents are conditionally independent given their common child?
Question 3
Consider an undirected graphical model (Markov Random Field) with variables $X_1, X_2, X_3, X_4$. If the graph structure is a chain $X_1 - X_2 - X_3 - X_4$, which of the following conditional independence statements is true?
Question 4
What is the primary role of factor graphs in structured probabilistic modeling?
Question 5
In the context of structured probabilistic modeling, what is the main advantage of using parameterized distributions (e.g., Gaussian, Bernoulli) within graphical models?