A set of tools that combine probability theory and graph theory to model complex, multivariate relationships, used for inference on random variables, understanding the structure of the model, and making predictions based on data.
Consider a social network with attributes such as friendships, likes, and comments. A graphical model for inference can be used to model the relationships between users, inferring information about their interests and behaviors based on their interactions. This can be applied in various areas such as marketing, psychology, and computer science.