A graphical model or probabilistic graphical model (PGM) or structured probabilistic model is a probabilistic model for which a graph expresses the conditional dependence structure between random variables.

Why do we need graphical models? Graphs are an intuitive way of representing and visualising the relationships between many variables. (Examples: family trees, electric circuit diagrams, neural networks) A graph allows us to abstract out the conditional independence relationships between the variables from the details of their parametric forms.

Graphical Models (GMOD) is internationally recognized as a highly rated, top-tier journal and is focused on the creation, geometric processing, animation, and visualization of graphical and geometric models and on their applications in engineering, science, culture, and …

Fundamental to the idea of a graphical model is the notion of modularity -- a complex system is built by combining simpler parts. Probability theory provides the glue whereby the parts are combined, ensuring that the system as a whole is consistent, and providing ways to interface models to data.

2020年2月23日 · Probabilistic Graphical models (PGMs) are statistical models that encode complex joint multivariate probability distributions using graphs. In other words, PGMs capture conditional independence relationships between interacting random variables.

Why do we need graphical models? A graph allows us to abstract out the conditional independence relationships between the variables from the details of their parametric forms. Thus we can answer questions like: \Is A dependent on B given that we know the value of C?" just by looking at the graph.

Graphical models are a marriage between probability theory and graph theory. They provide a natural tool for dealing with two problems that occur throughout applied mathematics and engineering { uncertainty and complexity { and in particular they are playing an increasingly important role in the design and analysis of machine learning algorithms.

A Graphical Model is defined as a representation of probabilistic relationships among variables, where nodes correspond to variables and the absence of edges indicates conditional independence. AI generated definition based on: International Encyclopedia of the Social & Behavioral Sciences, 2001

Master a new way of reasoning and learning in complex domains. Probabilistic graphical models (PGMs) are a rich framework for encoding probability distributions over complex domains: joint (multivariate) distributions over large numbers of random variables that interact with each other.

Graphical models relate the structure of a graph to the structure of a multivari-ate probability distribution, usually via conditional independence constraints.