Bayesian Network - Definitions and Concepts

Definitions and Concepts

See also: Glossary of graph theory#Directed acyclic graphs

There are several equivalent definitions of a Bayesian network. For all the following, let G = (V,E) be a directed acyclic graph (or DAG), and let X = (Xv)v ∈ V be a set of random variables indexed by V.

Read more about this topic:  Bayesian Network

Famous quotes containing the words definitions and/or concepts:

    “Lord Byron is an exceedingly interesting person, and as such is it not to be regretted that he is a slave to the vilest and most vulgar prejudices, and as mad as the winds?
    There have been many definitions of beauty in art. What is it? Beauty is what the untrained eyes consider abominable.”
    —Edmond De Goncourt (1822–1896)

    “It is impossible to dissociate language from science or science from language, because every natural science always involves three things: the sequence of phenomena on which the science is based; the abstract concepts which call these phenomena to mind; and the words in which the concepts are expressed. To call forth a concept, a word is needed; to portray a phenomenon, a concept is needed. All three mirror one and the same reality.”
    —Antoine Lavoisier (1743–1794)