2009 | OriginalPaper | Buchkapitel
Undirected Graphical Models
verfasst von : Trevor Hastie, Robert Tibshirani, Jerome Friedman
Erschienen in: The Elements of Statistical Learning
Verlag: Springer New York
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A graph consists of a set of vertices (nodes), along with a set of edges joining some pairs of the vertices. In graphical models, each vertex represents a random variable, and the graph gives a visual way of understanding the joint distribution of the entire set of random variables. They can be useful for either unsupervised or supervised learning. In an
undirected graph
, the edges have no directional arrows. We restrict our discussion to undirected graphical models, also known as
Markov random fields
or
Markov networks
. In these graphs, the absence of an edge between two vertices has a special meaning: the corresponding random variables are conditionally independent, given the other variables.