CRF and Its Application in Segmentation
Mathematics is the queen of the sciences. — Gauss Probabilistic undirected graphical model Before understanding the probabilistic undirected graphical model, let us look at the definition of the probabilistic graphical model (PGM): it is a probability distribution represented by a graph. Suppose there is a joint probability distribution $P(Y)$, where $Y\in \mathcal{Y}$ is a group of random variables, and the probability distribution $P(Y)$ is represented by an undirected graph $G=(V, E)$; that is, in graph $G$, a node $v\in V$ represents a random variable $Y_v$, $Y_v=(Y_v)_{v\in V}$; an edge $e\in E$ represents the probabilistic dependency between random variables. ...